<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0"><?xmltex \makeatother\@nolinetrue\makeatletter?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-17-699-2020</article-id><title-group><article-title>Partitioning of canopy and soil <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes in a pine forest at the dry
timberline across a 13-year observation period</article-title><alt-title>Partitioning of canopy and soil <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes</alt-title>
      </title-group><?xmltex \runningtitle{Partitioning of canopy and soil {$\chem{CO_{{2}}}$} fluxes}?><?xmltex \runningauthor{R.~Qubaja et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no">
          <name><surname>Qubaja</surname><given-names>Rafat</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6719-9606</ext-link></contrib>
        <contrib contrib-type="author" corresp="no">
          <name><surname>Tatarinov</surname><given-names>Fyodor</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no">
          <name><surname>Rotenberg</surname><given-names>Eyal</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name><surname>Yakir</surname><given-names>Dan</given-names></name>
          <email>dan.yakir@weizmann.ac.il</email>
        </contrib>
        <aff id="aff1"><institution>Department of Earth and Planetary Sciences, Weizmann Institute of
Science, Rehovot 76100, Israel</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Dan Yakir (dan.yakir@weizmann.ac.il)</corresp></author-notes><pub-date><day>11</day><month>February</month><year>2020</year></pub-date>
      
      <volume>17</volume>
      <issue>3</issue>
      <fpage>699</fpage><lpage>714</lpage>
      <history>
        <date date-type="received"><day>25</day><month>July</month><year>2019</year></date>
           <date date-type="rev-request"><day>31</day><month>July</month><year>2019</year></date>
           <date date-type="rev-recd"><day>12</day><month>December</month><year>2019</year></date>
           <date date-type="accepted"><day>6</day><month>January</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 Rafat Qubaja et al.</copyright-statement>
        <copyright-year>2020</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/17/699/2020/bg-17-699-2020.html">This article is available from https://bg.copernicus.org/articles/17/699/2020/bg-17-699-2020.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/17/699/2020/bg-17-699-2020.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/17/699/2020/bg-17-699-2020.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e126">Partitioning carbon fluxes is key to understanding the process underlying
ecosystem response to change. This study used soil and canopy fluxes with
stable isotopes (<inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) and radiocarbon (<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) measurements in an 18 km<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, 50-year-old, dry (287 mm mean annual precipitation; nonirrigated)
<italic>Pinus halepensis</italic> forest plantation in Israel to partition the net ecosystem's <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux
into gross primary productivity (GPP) and ecosystem respiration (<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and
(with the aid of isotopic measurements) soil respiration flux (<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) into
autotrophic (<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), heterotrophic (<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and inorganic (<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) components. On an
annual scale, GPP and <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were 655 and 488 g C m<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively, with a
net primary productivity (NPP) of 282 g C m<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and carbon-use efficiency
(CUE <inline-formula><mml:math id="M15" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> NPP <inline-formula><mml:math id="M16" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> GPP) of 0.43. <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> made up 60 % of the <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and comprised <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mn mathvariant="normal">24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> %<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mn mathvariant="normal">23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> %<inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mn mathvariant="normal">13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> %<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The contribution of root and microbial respiration to <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
increased during high productivity periods, and inorganic sources were more
significant components when the soil water content was low. Comparing the
ratio of the respiration components to <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of our mean 2016 values to those
of 2003 (mean for 2001–2006) at the same site indicated a decrease in the
autotrophic components (roots, foliage, and wood) by about <inline-formula><mml:math id="M27" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13 % and an
increase in the heterotrophic component (<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) by about <inline-formula><mml:math id="M29" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>18 %, with
similar trends for soil respiration (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> decreasing by <inline-formula><mml:math id="M31" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19 % and <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
increasing by <inline-formula><mml:math id="M33" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>8 %, respectively). The soil respiration sensitivity to
temperature (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) decreased across the same observation period by 36 % and 9 % in the wet and dry periods, respectively. Low rates of soil
carbon loss combined with relatively high belowground carbon allocation
(i.e., 38 % of canopy <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptake) and low sensitivity to temperature
help explain the high soil organic carbon accumulation and the relatively
high ecosystem CUE of the dry forest.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e511">The annual net storage of carbon in the land biosphere, known as net
ecosystem production (NEP), is the balance between carbon uptake during
gross primary productivity (GPP) and carbon loss during growth, maintenance
respiration by plants (i.e., autotrophic respiration, <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and decomposition
of litter and soil organic matter (i.e., heterotrophic respiration, <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>;
Bonan, 2008). The difference between GPP and <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> expresses the net primary
production (NPP) and is the net carbon uptake by plants that can be used for
new biomass production. Measurements from a range of ecosystems have shown
that total plant respiration can be as large as 50 % of GPP (e.g., Etzold
et al., 2011) and together with <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> comprises total ecosystem respiration
(<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). The partitioning of the ecosystem carbon fluxes can
therefore be summarized as
          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M42" display="block"><mml:mrow><mml:mi mathvariant="normal">GPP</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="normal">NPP</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="normal">NEP</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        Earlier campaign-based measurements carried out by Maseyk et al. (2008a) and
Grünzweig et al. (2009) in the semiarid <italic>Pinus halepensis</italic> (Aleppo pine) Yatir Forest
indicated that GPP at this site was lower than among temperate coniferous
forests (1000–1900 g C m<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) but within the range estimated
for Mediterranean evergreen needleleaf and boreal coniferous forests (Falge
et al., 2002; Flechard et al., 2019b) and had a high carbon-use efficiency (CUE)
of 0.4 (CUE <inline-formula><mml:math id="M45" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> NPP <inline-formula><mml:math id="M46" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> GPP; DeLucia et al., 2007). The total flux of <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
released from the ecosystem (<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) can be partitioned into aboveground
autotrophic respiration (i.e., foliage and sapwood, <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and soil <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
flux (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, in turn, is a combination of three principal components and
can be further partitioned into the components originating from roots or
rhizospheres and mycorrhizas (i.e., <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>),<?pagebreak page700?> from
carbon respired during the decomposition of dead organic matter by soil
microorganisms and macrofauna (<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; Bahn et al.,
2010; Kuzyakov, 2006), and from pedogenic or anthropogenic acidification of soils
containing <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CaCO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; Joseph et al., 2019; Kuzyakov, 2006), which is
expressed as
          <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M57" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        Previously published results show that the contribution of <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
ranges from 24 % to 65 % and from 29 % to 74 %, respectively, in forest
soils in different biomes and ecosystems (Binkley et al., 2006; Chen et al.,
2010; Flechard et al., 2019a; Frey et al., 2006; Hogberg et al., 2009; Subke
et al., 2011). Some studies reported significant proportions of abiotic
contribution to <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, ranging between 10 % and 60 % (Martí-Roura et al.,
2019; Ramnarine et al., 2012; Joseph et al., 2019). However, most of these
experiments were performed in boreal, temperate, or subtropical forests, and
there is a general lack of information on water-limited environments, such
as dry Mediterranean ecosystems. Using both <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>/</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
ratios also showed that abiotic processes, such as <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> storage,
transport, and interactions with sediments, can influence <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measurements at
such sites (Angert et al., 2015; Carmi et al., 2013). Furthermore,
root-respired <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> can also be dissolved in the xylem water and carried
upward with the transpiration stream (Etzold et al., 2013).</p>
      <p id="d1e956">Rates of the soil–atmosphere <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux (<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) have been altered owing to
global climatic change, particularly through changes in soil temperature
(<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and soil moisture (SWC; Bond-Lamberty and Thomson, 2010; Buchmann,
2000; Carvalhais et al., 2014; Hagedorn et al., 2016; Zhou et al., 2009),
which could account for 65 %–92 % of the variability of <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in a mixed
deciduous forest (Peterjohn et al., 1994). Soil moisture impacts on <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> have
been observed in arid and Mediterranean ecosystems, where <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and SWC are
negatively correlated (e.g., Grünzweig et al., 2009). <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> efflux
generally increases with increasing soil temperatures (Frank et al., 2002),
which can produce positive feedback on climate warming (Conant et al.,
1998), converting the biosphere from a net carbon sink to a carbon source
(IPCC, 2014). A range of empirical models have been developed to relate
<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> rate and temperature (Balogh et al., 2011; Lellei-Kovács et al.,
2011), and the most widely used models rely on the <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> approach
(Bond-Lamberty and Thomson, 2010), which quantifies the sensitivity of <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to
temperature and can integrate it with physical processes, such as the rate
of <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> diffusion into and <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> diffusion out of soils and the
intrinsic temperature dependency of enzymatic processes (Davidson and
Janssens, 2006). Soil moisture (SWC) may be of greater importance than
temperature in influencing <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in water-limited ecosystems (Hagedorn et al.,
2016; Grünzweig et al., 2009; Shen et al., 2008). In general, the <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
rate increases with the increase of SWC at low levels but decreases at high
levels of SWC (Deng et al., 2012; Hui and Luo, 2004; Jiang et al., 2013).
Several studies highlight the sensitivity of carbon fluxes in semiarid
Mediterranean ecosystems to the irregular seasonal and interannual
distribution of rain events (Poulter et al., 2014; Ross et al., 2012). While
<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is generally constrained by low SWC during summer months, abrupt and
large soil <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> pulses have been observed after rewetting the dry soil
(Matteucci et al., 2015).</p>
      <p id="d1e1137">The objectives were twofold: first, to obtain detail on partitioning of the
carbon fluxes in a semiarid pine forest to help explain the high
productivity and carbon use efficiency recently reported for this ecosystem
(Qubaja et al., 2019) and provide process-based information to assess the
carbon sequestration potential of such a semiarid afforestation system; and
second, to combine this 2016 study with the results of a similar one at the
same site in 2003 (mean values for 2001–2006; Grünzweig et al., 2007,
2009) to obtain a long-term perspective across 13 years on soil respiration
and its partitioning. We hypothesized that the high carbon-use efficiency of
the dry-forest ecosystem is associated with high belowground carbon
allocation and relatively low decomposition rates and that the long-term
trend associated with warming may be suppressed by the dry conditions.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Site description</title>
      <?pagebreak page701?><p id="d1e1155">The Yatir Forest (31<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>20<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>49<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N, 35<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>03<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>07<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> E; 650 m a.s.l.) is situated in the transition zone between subhumid and arid
Mediterranean climates (Fig. S1 in the Supplement) on the edge of the Hebron mountain ridge.
The ecosystem is a semiarid pine afforested area established in the 1960s and
covering approximately 18 km<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. The average air temperatures for January
and July are 10.0   and 25.8 <inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, respectively. Mean
annual potential evapotranspiration (ET) is 1600 mm, and mean annual
precipitation is 287 mm. Only winter (December to March) precipitation
occurs in this region, creating a distinctive wet season, while summer (June
to October) is an extended dry season. There are short transition periods
between seasons, with a wetting season (i.e., fall) and a drying season
(i.e., spring). The forest is dominated by Aleppo pine (<italic>Pinus halepensis</italic> Mill.), with
smaller proportions of other pine species and cypress and little understory
vegetation. Tree density in 2007 was 300 trees ha<inline-formula><mml:math id="M91" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; mean tree height
was 10.0 m; diameter at breast height (DBH) was <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15.9</mml:mn></mml:mrow></mml:math></inline-formula> cm, and
the leaf area index (LAI) was <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula>. The native background
vegetation was sparse shrubland, which is dominated by the dwarf shrub
<italic>Sarcopoterium spinosum</italic> (L.) Spach, with patches of herbaceous annuals and perennials reaching a
total vegetation height of 0.30–0.50 m (Grünzweig et al., 2003, 2007).
The root density range is 30–80 roots m<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at the upper 0.1 m soil
depth, falling to the minimum value (<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> roots m<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) at
0.7 m soil depth (Preisler et al., 2019). Biological soil crust (BSC) is
evident in the forest but is less than in the surrounding shrub by
<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> % (Gelfand et al., 2012).</p>
      <p id="d1e1320">The soil at the research site is shallow (20–40 cm), reaching only 0.7–1.0 m; the stoniness fraction for the soil depth (0–1.2 m) is 15 %–60 %, and
the rock cover of the surface ranges between 9 % and 37 %, as recently
described in detail (Preisler et al., 2019); the soil is eolian-origin loess
with a clay–loam texture (31 % sand, 41 % silt, and 28 % clay;
density is <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.65</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.14</mml:mn></mml:mrow></mml:math></inline-formula> g cm<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) overlying chalk and limestone
bedrock. Deeper soils (up to 1.5 m) are sporadically located at topographic
hollows. While the natural rocky hill slopes in the region are known to
create flash floods, the forested plantation reduces runoff dramatically to
less than 5 % of annual rainfall (Shachnovich et al., 2008). Groundwater
is deep (&gt; 300 m), reducing the possibility of groundwater
recharge due to negative hydraulic conductivity or of water uptake by trees
from the groundwater.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Flux and meteorological measurements</title>
      <p id="d1e1355">An instrumented eddy covariance (EC) tower was erected in the geographical
center of Yatir Forest, following the EUROFLUX methodology (Aubinet et al.,
2000). The system uses a three-dimensional (3-D) sonic anemometer
(Omnidirectional R3, Gill Instruments, Lymington, UK) and a closed path
LI-7000 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> gas analyzer (LI-COR Inc., Lincoln, NE, USA)
to measure the evapotranspiration flux (ET) and net <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux (NEE). EC
flux measurements were used to estimate the annual scale of NEP by
integrating half-hourly NEE values. The long-term operation of our EC
measurement site (since 2000; see Rotenberg and Yakir, 2010) provides
continuous flux and meteorological data with about 80 % coverage, which
are subjected to U<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> nighttime correction and quality control, and gap
filling is based on the extent of the missing data, as recently described in
more detail in Tatarinov et al. (2016). A site-specific algorithm was used
for flux partitioning into <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and GPP. Daytime ecosystem respiration (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:math></inline-formula>;
in <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M106" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) was estimated based on measured nighttime
values (<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:math></inline-formula>; i.e., when the global radiation was &lt; 5 W m<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>),
averaged for the first 3 half hours of each night. The daytime
respiration for each half hour was calculated according to Eq. (3) (Maseyk et
al., 2008a; Tatarinov et al., 2016):
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M110" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">e</mml:mi><mml:mo>-</mml:mo><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">e</mml:mi><mml:mo>-</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">dT</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">w</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">dT</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:msubsup><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">f</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">dT</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are coefficients that correspond
to soil, wood, and foliage, respectively; dT<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:math></inline-formula> and dT<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:math></inline-formula> are soil and air
temperature deviations from the values at the beginning of the night; and
<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> are partitioning coefficients fixed
at 0.5, 0.1, and 0.4, respectively. The <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
coefficients were calculated as follows: <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values were based on
<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the Grünzweig et al. (2009) study at the same site, where
<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M125" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.45 for wet soil (i.e., SWC in the upper 30 cm above 20 % vol.); <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M127" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.18 for dry soil (i.e., SWC in the upper 30 cm equal to
or below 20 % vol.); <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.15</mml:mn></mml:mrow></mml:math></inline-formula>–0.036 <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; and <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.34</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.46</mml:mn><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>(</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="normal">DoY</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">162</mml:mn><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">66.1</mml:mn><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, where DoY is the day of the
hydrological year starting from 1 October. Finally, GPP was calculated as
GPP <inline-formula><mml:math id="M131" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> NEE–<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Negative values of NEE and GPP indicated that the
ecosystem was a <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sink.</p>
      <p id="d1e1850">Half-hourly auxiliary measurements used in this study included photosynthetic
activity radiation (PAR; mol m<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), vapor pressure deficit
(VPD; kPa), wind speed (m s<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and relative humidity (RH; %), with
additional measurements as described elsewhere (Tatarinov et al., 2016).
Furthermore, the soil microclimatology half-hourly measurements were measured
and calculated with soil chamber measurements, using the LI-8150-203
(LI-COR, Lincoln, NE), as described below, namely air temperature (<inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>;
<inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and relative humidity at 20 cm above the soil
surface and soil temperature (<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) at a 5 cm soil depth using
a soil temperature probe, as well as volumetric soil water content
(SWC<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>; m<inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) in the upper 10 cm of the soil near the
chambers, using the ThetaProbe model ML2x (Delta-T Devices Ltd., Cambridge,
UK), which was calibrated to the soil composition based on the
manufacturer's equations.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><?xmltex \opttitle{Soil {$\protect\chem{CO_{{2}}}$} fluxes}?><title>Soil <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes</title>
      <p id="d1e1985">Soil <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes (<inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) were measured with automated non-steady-state
systems, using 20 cm diameter opaque chambers and a multiplexer to allow for
simultaneous control of several chambers (LI-8150, -8100-101, -8100-104;
LI-COR, Lincoln, NE). The precision of <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements in the
chambers' air is <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> % of the measurements' range (0–20 000 ppm). The chambers were closed on preinstalled PVC collars of 20 cm diameter,
allowing for a short measurement time (i.e., 2 min), and positioned away from
the collars for the rest of the time. Data were collected using a system in
which air from the chambers was circulated (2.5 L min<inline-formula><mml:math id="M149" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) through an
infrared gas analyzer (IRGA) to record <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mol<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
air) and <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (mmol <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mol<inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> air) concentrations in the system
logger (1 s<inline-formula><mml:math id="M157" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Gap filling of missing data due to technical problems
(i.e., 27 % of the data across the study period between November 2015 and
October 2016) was based on the average diurnal cycle of each month.</p>
      <?pagebreak page702?><p id="d1e2137">The rates of soil <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux, <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M160" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M162" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), were calculated from chamber data using a linear fit of change in the
water-corrected <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mole fraction using Eq. (4) as
follows:
            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M165" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="normal">dC</mml:mi><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>v</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mi>R</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mi mathvariant="normal">dC</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> is the rate of change in the water-corrected <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mol
fraction (<inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mol<inline-formula><mml:math id="M170" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> air s<inline-formula><mml:math id="M171" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <inline-formula><mml:math id="M172" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula> is the system
volume (m<inline-formula><mml:math id="M173" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>), <inline-formula><mml:math id="M174" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> is the chamber pressure (Pa), <inline-formula><mml:math id="M175" display="inline"><mml:mi>s</mml:mi></mml:math></inline-formula> is the soil surface area
within the collar (m<inline-formula><mml:math id="M176" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>), <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the chamber air temperature (K), and <inline-formula><mml:math id="M178" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is
the gas constant (J mol<inline-formula><mml:math id="M179" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). A measurement period of 2 min
was used, based on preliminary tests to obtain the most linear increase of
<inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the chambers with the highest <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e2436">Soil <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes in the experimental plot were measured between November 2015 and October 2016 by means of three measurement chambers using 21 collars grouped in seven sites in the forest stand, with three locations
(i.e., three collars) per site, based on different distances from the
nearest tree (<inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). The collars were inserted 5 cm into the soil. Data were
recorded on a half-hourly basis (48 daily records). The three chambers were
rotated between the seven sites every 1–2 weeks to cover all sites and to
assess spatial and temporal variations.</p>
      <p id="d1e2462">Upscaling of the collar measurements to plot-scale soil <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux was
carried out by grouping collars based on three locations (i.e., under trees
(&lt; 1 m from nearest tree; UT), in gaps between trees (1–2.3 m; BT),
and in open areas (&gt; 2.3 m; OA)), with one chamber taking
measurements at each location, and estimating the fractional areas (<inline-formula><mml:math id="M186" display="inline"><mml:mi mathvariant="italic">∅</mml:mi></mml:math></inline-formula>) of
the three locations based on mapping the sites according to the distances
noted above, as previously done by Raz-Yaseef et al. (2010):

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M187" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mi mathvariant="normal">OA</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="italic">∅</mml:mi><mml:mi mathvariant="normal">OA</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>+</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mi mathvariant="normal">BT</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="italic">∅</mml:mi><mml:mi mathvariant="normal">BT</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mi mathvariant="normal">UT</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="italic">∅</mml:mi><mml:mi mathvariant="normal">UT</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>6</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="italic">∅</mml:mi><mml:mi mathvariant="normal">OA</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">∅</mml:mi><mml:mi mathvariant="normal">BT</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">∅</mml:mi><mml:mi mathvariant="normal">UT</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The annual scale of <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was derived from the upscaled chamber measurements
(Eq. 5) based on daily records (48 half-hourly values) of spatially upscaled
<inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e2613">Estimating the temperature sensitivity of <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) was performed as
described by Davidson and Janssens (2006) using a first-order exponential
equation (see also Xu et al., 2015):
            <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M192" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mi>b</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the half-hourly spatially upscaled time series of soil
respiration flux (<inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M195" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M196" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M198" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) is soil
temperature at a 5 cm depth (upscaled spatially and temporally using the
same method as for <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M200" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M201" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> are fitted parameters. The <inline-formula><mml:math id="M202" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> values were
used to calculate the <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value according to the following equation:
            <disp-formula id="Ch1.E8" content-type="numbered"><label>8</label><mml:math id="M204" display="block"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mi>b</mml:mi></mml:mrow></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><?xmltex \opttitle{Soil {$\protect\chem{CO_{{2}}}$} flux partitioning}?><title>Soil <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux partitioning</title>
      <p id="d1e2818">The determination of different sources of soil <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> efflux was based on
linear mixing models (Lin et al., 1999) to estimate proportions of three
main sources (autotrophic, heterotrophic, and abiotic), using isotopic
analysis of soil <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profiles and soil incubation data from eight
campaigns (January to September) during 2016, according to Eqs. (9)–(11).
Partitioning of the monthly <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values into components was done using a
three-end-member triangular model for interpreting the <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M211" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux; the three-end-member triangular
corners are the autotrophic (<inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), heterotrophic (<inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and abiotic (<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)
sources of <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. The <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> isotope
signatures of monthly <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> locate it inside the triangle (Fig. S2):

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M219" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E9"><mml:mtd><mml:mtext>9</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E10"><mml:mtd><mml:mtext>10</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E11"><mml:mtd><mml:mtext>11</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mn mathvariant="normal">1</mml:mn><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M220" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> indicates the fraction of total soil flux (e.g.,
<inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), while subscripts sa, h, and i indicate
autotrophic, heterotrophic, and inorganic components, respectively. The
three-equations system was used to solve the three unknown <inline-formula><mml:math id="M222" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> fractions of
the total soil flux based on empirical estimates of the isotopic end-members.
Additionally, <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> are the stable and
radioactive carbon isotopic ratios, where <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M226" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> [([<inline-formula><mml:math id="M227" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">sample</mml:mi></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M229" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">reference</mml:mi></mml:msub></mml:math></inline-formula>) <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>] <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> ‰,
and the reference is the Vienna international standard (VPDB). Radiocarbon
data are expressed as <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in parts per thousand or per mil
(‰), which is the deviation of a sample
<inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>/</mml:mo><mml:msup><mml:mi/><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> ratio relative to the OxI standard in 1950 (see Taylor et
al., 2015), that is, <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M236" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> [([<inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">sample</mml:mi></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.95</mml:mn><mml:mo>⋅</mml:mo></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M240" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>]<inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">reference</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mi>exp⁡</mml:mi></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>y</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1950</mml:mn><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">8267</mml:mn></mml:mrow></mml:math></inline-formula>])) <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>] <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> ‰, where <inline-formula><mml:math id="M245" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> is the year of sample measurements.</p>
      <p id="d1e3517">The <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M247" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:msub></mml:math></inline-formula> was estimated monthly using the Keeling plot
approach (Figs. S3 and S4; Pataki et al., 2003; Taneva and Gonzalez-Meler,
2011). Soil air was sampled using closed-end stainless-steel tubes (6 mm
diameter) perforated near the tube bottom at four depths (30, 60, 90, and
120 cm). Samples of soil air were collected in pre-evacuated 150 mL glass
flasks with high-vacuum valves, the dead volume in the tubing and flask
necks having been purged with soil air using a plastic syringe equipped with
a three-way valve.</p>
      <p id="d1e3545">Note that the Keeling plot approach is based on the two-end-member mixing
model (see Review of Pataki et al., 2003), which often does not hold in
soils because of variations in the <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values of source
material with depth (see a recent example in Joseph et al., 2019). However,
probably because of the very dry conditions at our study site, no change in
<inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> with depths in the root zone is observed (<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰ across the 35 cm depth profiles; Fig. S5), providing
an opportunity to avoid this caveat; we must also conclude of course that
the variations among the contributions of <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> do not change
significantly with depth, permitting the use of the single set of
isotopic signatures in Table 2. The soil <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> samplings carried out
therefore represented predominantly the mixing of atmospheric <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with
a single integrated soil source signal, consistent with the Keeling plot
approach.</p>
      <p id="d1e3641">The autotrophic (<inline-formula><mml:math id="M256" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M257" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:math></inline-formula>) end-member was estimated based on
incubations during the sampling periods of excised roots, following Carbone
et al. (2008). Fine roots (&lt; 2 mm diameter) were collected, rinsed
with deionized water, and incubated for 3 h in 10 mL glass flasks
connected with Swagelok Ultra-Torr tee fittings to 330 mL glass<?pagebreak page703?> flasks
equipped with Louwers high-vacuum valves. The flasks were flushed with
<inline-formula><mml:math id="M258" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-free air at room temperature close to field conditions. The
<inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was allowed to accumulate to at least 2000 ppm (<inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> h).</p>
      <p id="d1e3697">The heterotrophic (<inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mi>h</mml:mi></mml:msub></mml:math></inline-formula>) end-member was estimated as in
Taylor et al. (2015), and, similar to the root-incubation experiment, soil
samples from the top 5 cm of the litter layer or 10 cm below the soil
surface were collected, and roots were carefully removed to isolate
heterotrophic components. Root-free soils were placed in 10 mL glass flasks
and allowed to incubate for 24 h before being transferred to evacuated
330 mL glass flasks. The inorganic source (<inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M264" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula>)
end-member was estimated using 1 g of dry soil (ground to pass through a
0.5 mm mesh) placed in a 10 mL tube with a septum cap; then, 12 mL of 1 M HCl
was added to dissolve the carbonate fraction, and the fumigated <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
withdrawn from each tube was collected using a 10 mL syringe and injected
into a 330 mL evacuated flask for isotopic analysis.</p>
      <p id="d1e3753">Radiocarbon estimates were based on the work of Carmi et al. (2013) at the
same site, adjusted to the measured atmospheric <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values during the
study period (49.5 ‰; Carmi et al., 2013). The <inline-formula><mml:math id="M267" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:math></inline-formula> end-members were estimated based
on the assumption that they carry the <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> signatures of 4 and 8.5 years, respectively, older than the <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> signature of the atmosphere at
the time of sampling, based on mean ages previously estimated (Graven et
al., 2012; Levin et al., 2010; Taylor et al., 2015). The ratio <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M274" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:math></inline-formula>
was obtained from Carmi et al. (2013). Monthly values of <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M276" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:msub></mml:math></inline-formula> were obtained using the linear equation of the regression
line of the measured <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, Rsh, and <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the
corresponding estimated <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values (Fig. S2) and monthly
<inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> values of <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Isotopic analysis</title>
      <p id="d1e3963">Isotopic analysis followed the methodology described in Hemming et al. (2005). The <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the air was analyzed using a
continuous-flow mass spectrometer connected to a 15-flask automatic manifold
system. An aliquot of 1.5 mL of air was expanded from each flask into a
sampling loop on a 15-position valve (Valco, Houston, TX, USA). <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was
cryogenically trapped from the air samples using helium as a carrier gas; it
was then separated from <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> with a Carbosieve G (Sigma-Aldrich) packed
column at 70 <inline-formula><mml:math id="M287" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and analyzed on a Europa 20-20 isotope ratio mass
spectrometer (IRMS; Sercon, Crewe, UK). The <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> results were quoted in parts per
thousand (‰) relative to the VPDB international
standard. The analytical precision was 0.1 ‰. To measure
[<inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>], an additional 40.0 mL subsample of air from each flask was
expanded into mechanical bellows and then passed through an infrared gas
analyzer (LI-6262; LI-COR, Lincoln, NE, USA) in an automated system. The
precision of these measurements was 0.1 ppm. Flasks filled with calibrated
standard air were measured with each batch of 10 sample flasks; five
standards were measured per 10 samples for <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> analyses and
four standards per 10 samples for [<inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>] analyses.</p>
      <p id="d1e4072">Organic matter samples were dried at 60 <inline-formula><mml:math id="M292" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and milled using a
Wiley mill fitted with a size 40 mesh, and soil samples were ground in a
pestle and mortar. Soils containing carbonates were treated with 1 M
hydrochloric acid. Between 0.2 and 0.4 mg of each dry sample was weighed
into tin capsules (Elemental Microanalysis Ltd., Okehampton, UK), and the
<inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of each was determined using an elemental analyzer linked
to a Micromass Optima IRMS (Manchester, UK). Three replicates of each sample
were analyzed, and two samples of a laboratory working standard cellulose
were measured for every 12 samples. Four samples of the acetanilide
(Elemental Microanalysis Ltd.) international standard were used to calibrate
each run, and a correction was applied to account for the influence of a
blank cup. The precision was 0.1 ‰.</p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Total belowground carbon allocation (TBCA)</title>
      <p id="d1e4105">TBCA (g C m<inline-formula><mml:math id="M294" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M295" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) was calculated following Giardina and Ryan (2002) for the study year (November 2015–October 2016) as follows:
            <disp-formula id="Ch1.E12" content-type="numbered"><label>12</label><mml:math id="M296" display="block"><mml:mrow><mml:mi mathvariant="normal">TBCA</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">alp</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">alp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the annual aboveground litter production between November 2014 and October 2015, and <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the annual change in
belowground total soil organic C. Litter production, not measured during the
present study, was estimated based on values obtained by Masyk et al. (2008) for 2000–2006 (56 g C m<inline-formula><mml:math id="M299" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M300" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and assumed to have
increased in the study period (2014–2015) proportionally to the measured
increase in leaf area index (LAI; 1.31 to 1.94; i.e., <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">alp</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> [<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.94</mml:mn><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">56</mml:mn><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">1.31</mml:mn></mml:mrow></mml:math></inline-formula>] <inline-formula><mml:math id="M303" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 83 g C m<inline-formula><mml:math id="M304" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M305" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). For herbaceous litter
production, three plots of 25 m<inline-formula><mml:math id="M306" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> were randomly selected in 2002 and
harvested at the end of the growing season, total fresh biomass was weighed,
and subsamples were used to determine dry weight and C content.
Grünzweig et al. (2007) found that herbaceous litter production was
close to the average rainfall for the specific year; this method was adapted
in the current study for the period between November 2014 and October 2015.
Since aboveground litter (<inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">alp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; the sum of tree litter and herbaceous
litter production) of a given year was mainly produced during that year but
decayed during the following hydrological year, TBCA was based on the current
year's <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (2015–2016) and the previous year's <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">alp</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (2014–2015).
<inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mi mathvariant="normal">soil</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was set constant as the average annual belowground
carbon increase since afforestation (Qubaja et al., 2019).</p>
</sec>
<sec id="Ch1.S2.SS7">
  <label>2.7</label><title>Statistical analyses</title>
      <?pagebreak page704?><p id="d1e4342">Two-way ANOVA tests were performed at a significance level set at <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>
to detect significant effects of locations (OA, BT, and UT), sites, and
their interactions on <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and metrological parameters. Pearson correlation
analysis (<inline-formula><mml:math id="M313" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) was used to detect the correlation between <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and meteorological
parameters. To quantify spatiotemporal variability in <inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the coefficient
of variation (CV %) was calculated as [(STDEV <inline-formula><mml:math id="M316" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Mean) <inline-formula><mml:math id="M317" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> 100 %].
Heterogeneity was considered weak if CV % <inline-formula><mml:math id="M318" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 10 %, moderate if 10 % &lt; CV % <inline-formula><mml:math id="M319" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 100 %, and strong if CV % &gt; 100 %. All the analyses were performed using MATLAB software, Version R2017b
(MathWorks, Inc., MA, USA).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e4429">Annual mean of half-hourly values across locations (OA, open area;
BT, between trees; UT, under tree) in seven sites in the forest during the
study period of soil respiration flux rates (<inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) together with the soil
water content at 10 cm depth (SWC), minimum distances from nearby tree (<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>),
soil temperature at 5 cm depth (<inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and air temperature (<inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and relative
humidity (RH) at the soil surface (numbers in parentheses indicate <inline-formula><mml:math id="M324" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>SE).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Locations</oasis:entry>
         <oasis:entry colname="col2">Sites</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">SWC</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">RH</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M332" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M333" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(<inline-formula><mml:math id="M334" display="inline"><mml:mo lspace="0mm">×</mml:mo></mml:math></inline-formula>100 m<inline-formula><mml:math id="M335" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M336" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">(m)</oasis:entry>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M337" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col7">(<inline-formula><mml:math id="M338" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C)</oasis:entry>
         <oasis:entry colname="col8">(%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">OA</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">1.64 (0.02)</oasis:entry>
         <oasis:entry colname="col4">16.5 (0.2)</oasis:entry>
         <oasis:entry colname="col5">2.9</oasis:entry>
         <oasis:entry colname="col6">15.6 (0.1)</oasis:entry>
         <oasis:entry colname="col7">15.4 (0.2)</oasis:entry>
         <oasis:entry colname="col8">59.7 (0.5)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">0.72 (0.01)</oasis:entry>
         <oasis:entry colname="col4">14.5 (0.2)</oasis:entry>
         <oasis:entry colname="col5">3.6</oasis:entry>
         <oasis:entry colname="col6">15.9 (0.2)</oasis:entry>
         <oasis:entry colname="col7">15.0 (0.2)</oasis:entry>
         <oasis:entry colname="col8">58.4 (0.6)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3">1.23 (0.02)</oasis:entry>
         <oasis:entry colname="col4">19.3 (0.2)</oasis:entry>
         <oasis:entry colname="col5">7.0</oasis:entry>
         <oasis:entry colname="col6">20.6 (0.3)</oasis:entry>
         <oasis:entry colname="col7">18.2 (0.2)</oasis:entry>
         <oasis:entry colname="col8">53.5 (0.5)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">0.38 (0.01)</oasis:entry>
         <oasis:entry colname="col4">11.3 (0.2)</oasis:entry>
         <oasis:entry colname="col5">3.0</oasis:entry>
         <oasis:entry colname="col6">22.6 (0.2)</oasis:entry>
         <oasis:entry colname="col7">20.8 (0.1)</oasis:entry>
         <oasis:entry colname="col8">58.9 (0.4)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">0.38 (0.01)</oasis:entry>
         <oasis:entry colname="col4">5.8 (0.2)</oasis:entry>
         <oasis:entry colname="col5">3.0</oasis:entry>
         <oasis:entry colname="col6">25.5 (0.1)</oasis:entry>
         <oasis:entry colname="col7">24.0 (0.1)</oasis:entry>
         <oasis:entry colname="col8">43.1 (0.4)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">6</oasis:entry>
         <oasis:entry colname="col3">0.31 (0.01)</oasis:entry>
         <oasis:entry colname="col4">5.7 (0.4)</oasis:entry>
         <oasis:entry colname="col5">2.8</oasis:entry>
         <oasis:entry colname="col6">30.0 (0.3)</oasis:entry>
         <oasis:entry colname="col7">26.2 (0.3)</oasis:entry>
         <oasis:entry colname="col8">51.8 (0.9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2">7</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">0.14 (0.01)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">6.1 (0.3)</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">3.5</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">25.5 (0.2)</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">23.2 (0.3)</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">44.5 (0.9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Average</oasis:entry>
         <oasis:entry colname="col3">0.68 (0.21)</oasis:entry>
         <oasis:entry colname="col4">11 (0)</oasis:entry>
         <oasis:entry colname="col5">3.7 (0.6)</oasis:entry>
         <oasis:entry colname="col6">22.3 (2.0)</oasis:entry>
         <oasis:entry colname="col7">20.4 (1.6)</oasis:entry>
         <oasis:entry colname="col8">52.8 (2.6)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CV (%)</oasis:entry>
         <oasis:entry colname="col3">81 %</oasis:entry>
         <oasis:entry colname="col4">50 %</oasis:entry>
         <oasis:entry colname="col5">41 %</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">13 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">BT</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">0.77 (0.01)</oasis:entry>
         <oasis:entry colname="col4">10.5 (0.2)</oasis:entry>
         <oasis:entry colname="col5">1.8</oasis:entry>
         <oasis:entry colname="col6">16.1 (0.1)</oasis:entry>
         <oasis:entry colname="col7">15.2 (0.2)</oasis:entry>
         <oasis:entry colname="col8">60.5 (0.5)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">0.88 (0.01)</oasis:entry>
         <oasis:entry colname="col4">12.1 (0.2)</oasis:entry>
         <oasis:entry colname="col5">1.5</oasis:entry>
         <oasis:entry colname="col6">14.8 (0.2)</oasis:entry>
         <oasis:entry colname="col7">14.7 (0.2)</oasis:entry>
         <oasis:entry colname="col8">59.5 (0.6)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3">0.84 (0.01)</oasis:entry>
         <oasis:entry colname="col4">20.4 (0.2)</oasis:entry>
         <oasis:entry colname="col5">2.7</oasis:entry>
         <oasis:entry colname="col6">20.1 (0.3)</oasis:entry>
         <oasis:entry colname="col7">18.4 (0.2)</oasis:entry>
         <oasis:entry colname="col8">54.1 (0.6)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">0.91 (0.01)</oasis:entry>
         <oasis:entry colname="col4">14.4 (0.2)</oasis:entry>
         <oasis:entry colname="col5">2.7</oasis:entry>
         <oasis:entry colname="col6">23.3 (0.2)</oasis:entry>
         <oasis:entry colname="col7">21.3 (0.2)</oasis:entry>
         <oasis:entry colname="col8">58.5 (0.4)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">0.41 (0.00)</oasis:entry>
         <oasis:entry colname="col4">3.9 (0.2)</oasis:entry>
         <oasis:entry colname="col5">2.0</oasis:entry>
         <oasis:entry colname="col6">24.6 (0.1)</oasis:entry>
         <oasis:entry colname="col7">24.0 (0.1)</oasis:entry>
         <oasis:entry colname="col8">43.2 (0.4)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">6</oasis:entry>
         <oasis:entry colname="col3">0.41 (0.01)</oasis:entry>
         <oasis:entry colname="col4">3.3 (0.4)</oasis:entry>
         <oasis:entry colname="col5">2.5</oasis:entry>
         <oasis:entry colname="col6">29.1 (0.2)</oasis:entry>
         <oasis:entry colname="col7">26.0 (0.3)</oasis:entry>
         <oasis:entry colname="col8">52.5 (0.8)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2">7</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">0.46 (0.01)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">5.5 (0.3)</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">1.2</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">23.9 (0.1)</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">22.8 (0.3)</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">45.7 (0.9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Average</oasis:entry>
         <oasis:entry colname="col3">0.67 (0.09)</oasis:entry>
         <oasis:entry colname="col4">10 (0)</oasis:entry>
         <oasis:entry colname="col5">2.0 (0.2)</oasis:entry>
         <oasis:entry colname="col6">21.7 (1.9)</oasis:entry>
         <oasis:entry colname="col7">20.3 (1.6)</oasis:entry>
         <oasis:entry colname="col8">53.4 (2.6)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CV (%)</oasis:entry>
         <oasis:entry colname="col3">35 %</oasis:entry>
         <oasis:entry colname="col4">63 %</oasis:entry>
         <oasis:entry colname="col5">29 %</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">13 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UT</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">1.22 (0.02)</oasis:entry>
         <oasis:entry colname="col4">9.3 (0.2)</oasis:entry>
         <oasis:entry colname="col5">0.2</oasis:entry>
         <oasis:entry colname="col6">15.7 (0.1)</oasis:entry>
         <oasis:entry colname="col7">15.2 (0.2)</oasis:entry>
         <oasis:entry colname="col8">60.0 (0.5)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">1.42 (0.01)</oasis:entry>
         <oasis:entry colname="col4">14.0 (0.2)</oasis:entry>
         <oasis:entry colname="col5">0.3</oasis:entry>
         <oasis:entry colname="col6">14.8 (0.2)</oasis:entry>
         <oasis:entry colname="col7">14.8 (0.2)</oasis:entry>
         <oasis:entry colname="col8">59.4 (0.6)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3">1.64 (0.01)</oasis:entry>
         <oasis:entry colname="col4">19.8 (0.2)</oasis:entry>
         <oasis:entry colname="col5">0.5</oasis:entry>
         <oasis:entry colname="col6">19.0 (0.2)</oasis:entry>
         <oasis:entry colname="col7">18.0 (0.2)</oasis:entry>
         <oasis:entry colname="col8">54.5 (0.6)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">1.90 (0.02)</oasis:entry>
         <oasis:entry colname="col4">11.3 (0.2)</oasis:entry>
         <oasis:entry colname="col5">0.6</oasis:entry>
         <oasis:entry colname="col6">22.0 (0.1)</oasis:entry>
         <oasis:entry colname="col7">20.8 (0.1)</oasis:entry>
         <oasis:entry colname="col8">59.0 (0.4)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">1.16 (0.01)</oasis:entry>
         <oasis:entry colname="col4">4.0 (0.2)</oasis:entry>
         <oasis:entry colname="col5">0.4</oasis:entry>
         <oasis:entry colname="col6">23.9 (0.1)</oasis:entry>
         <oasis:entry colname="col7">23.7 (0.1)</oasis:entry>
         <oasis:entry colname="col8">44.1 (0.4)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">6</oasis:entry>
         <oasis:entry colname="col3">1.29 (0.01)</oasis:entry>
         <oasis:entry colname="col4">4.5 (0.4)</oasis:entry>
         <oasis:entry colname="col5">0.2</oasis:entry>
         <oasis:entry colname="col6">29.5 (0.3)</oasis:entry>
         <oasis:entry colname="col7">25.9 (0.3)</oasis:entry>
         <oasis:entry colname="col8">52.7 (0.9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" colname="col2">7</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">0.89 (0.01)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">5.2 (0.3)</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">0.2</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">25.0 (0.1)</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">23.0 (0.3)</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">45.5 (0.9)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Average</oasis:entry>
         <oasis:entry colname="col3">1.36 (0.13)</oasis:entry>
         <oasis:entry colname="col4">10 (0)</oasis:entry>
         <oasis:entry colname="col5">0.3 (0.1)</oasis:entry>
         <oasis:entry colname="col6">21.4 (2.0)</oasis:entry>
         <oasis:entry colname="col7">20.2 (1.6)</oasis:entry>
         <oasis:entry colname="col8">53.6 (2.5)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CV (%)</oasis:entry>
         <oasis:entry colname="col3">25 %</oasis:entry>
         <oasis:entry colname="col4">60 %</oasis:entry>
         <oasis:entry colname="col5">46 %</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">12 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">All</oasis:entry>
         <oasis:entry colname="col2">Average (SE)</oasis:entry>
         <oasis:entry colname="col3">0.8 (0.1)</oasis:entry>
         <oasis:entry colname="col4">11 (0)</oasis:entry>
         <oasis:entry colname="col5">2.0 (0.4)</oasis:entry>
         <oasis:entry colname="col6">21.8 (1.1)</oasis:entry>
         <oasis:entry colname="col7">20.3 (0.9)</oasis:entry>
         <oasis:entry colname="col8">53.3 (1.4)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Max</oasis:entry>
         <oasis:entry colname="col3">1.90</oasis:entry>
         <oasis:entry colname="col4">20</oasis:entry>
         <oasis:entry colname="col5">7.0</oasis:entry>
         <oasis:entry colname="col6">30.0</oasis:entry>
         <oasis:entry colname="col7">26.2</oasis:entry>
         <oasis:entry colname="col8">60.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Min</oasis:entry>
         <oasis:entry colname="col3">0.14</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">0.2</oasis:entry>
         <oasis:entry colname="col6">14.8</oasis:entry>
         <oasis:entry colname="col7">14.7</oasis:entry>
         <oasis:entry colname="col8">43.1</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">CV (%)</oasis:entry>
         <oasis:entry colname="col3">55 %</oasis:entry>
         <oasis:entry colname="col4">55 %</oasis:entry>
         <oasis:entry colname="col5">82 %</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">12 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Two-way</oasis:entry>
         <oasis:entry colname="col2">Site</oasis:entry>
         <oasis:entry colname="col3">0.000</oasis:entry>
         <oasis:entry colname="col4">0.000</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">0.000</oasis:entry>
         <oasis:entry colname="col7">0.000</oasis:entry>
         <oasis:entry colname="col8">0.000</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ANOVA</oasis:entry>
         <oasis:entry colname="col2">Location</oasis:entry>
         <oasis:entry colname="col3">0.000</oasis:entry>
         <oasis:entry colname="col4">0.000</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">0.000</oasis:entry>
         <oasis:entry colname="col7">0.220</oasis:entry>
         <oasis:entry colname="col8">0.074</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(<inline-formula><mml:math id="M339" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value)</oasis:entry>
         <oasis:entry colname="col2">Site <inline-formula><mml:math id="M340" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> location</oasis:entry>
         <oasis:entry colname="col3">0.000</oasis:entry>
         <oasis:entry colname="col4">0.000</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">0.000</oasis:entry>
         <oasis:entry colname="col7">0.645</oasis:entry>
         <oasis:entry colname="col8">0.961</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col3">Pearson Correlation with <inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.50<inline-formula><mml:math id="M342" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M343" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.62<inline-formula><mml:math id="M344" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M345" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.45<inline-formula><mml:math id="M346" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M347" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.45<inline-formula><mml:math id="M348" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8">0.50<inline-formula><mml:math id="M349" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e4483"><inline-formula><mml:math id="M325" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> Correlation is significant at the 0.05 level (two-tailed). <inline-formula><mml:math id="M326" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> Correlation is significant at the 0.01 level (two-tailed).</p></table-wrap-foot></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Spatial variations</title>
      <p id="d1e5744">The spatial variations in <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> across locations (distance from nearest tree)
and sites (across the study area) are reported in Table 1, together with
other measured variables. The results indicated an overall mean <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value of
<inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M354" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M355" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, with distinct values for the
three locations. <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was greater at UT locations than at the BT and OA
locations by a factor of <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>. The spatial variability among
the locations was also apparent in the <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> daily cycle (Fig. 1), with clear
differences between the wet season (November to April), when the UT showed
consistently higher <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values than at other locations by a factor of about
1.6, and the dry season, when the equivalent values differed by a factor of approximately 2.6. Note that the daily
peak in <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> remained at midday in both the wet and dry seasons. Overall, the
21 collars showed moderate variations (CV <inline-formula><mml:math id="M361" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 55 %; Table 1); <inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was
negatively correlated with distance from trees (<inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) and with soil and air temperatures (<inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.45</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) and positively correlated with soil water content and relative
humidity (SWC and RH; <inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.50</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). The inverse correlation
between <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and distance from the nearest tree could be useful in considering
the expected decline in stand density due to thinning and mortality (e.g.,
associated with a drying climate). For a first approximation, the results
indicate that decreasing from the present stand density of 300  to 100 trees ha<inline-formula><mml:math id="M373" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and the resulting increase in mean distance
among trees could result in decreasing ecosystem <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by 11 %.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e6034">Representative diurnal cycles of soil respiration (<inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; using soil
chambers across locations: open area, OA; between trees, BT; under trees,
UT) and sites in panels <bold>(a)</bold> and <bold>(b)</bold>, of net ecosystem exchange (NEE; canopy-scale eddy covariance) and gross primary production (GPP) and ecosystem
respiration (<inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and its partitioning to soil respiration (<inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and
aboveground tree respiration (<inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in panels <bold>(c)</bold> and <bold>(d)</bold>, during the wet
(November–April) and dry (May–October) periods. Based on half-hourly values over the
diurnal cycle; shaded areas indicate <inline-formula><mml:math id="M379" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>SE; <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was estimated as the
residual as <inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and is presented as a dashed line.</p></caption>
          <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://bg.copernicus.org/articles/17/699/2020/bg-17-699-2020-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Temporal dynamics</title>
      <p id="d1e6151">On the diurnal timescale, <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes showed typical daily cycles (Fig. 1). As expected, on average, all <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes were higher during the wet
period compared to the dry season by a factor of <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>. However,
<inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> peaked around midday in both the wet and dry seasons, while the
more physiologically controlled NEE and GPP showed a shift from midday
(around 11:00–14:00 LT) to early morning (08:00–11:00 LT) in the dry season,
with a midday depression and a secondary afternoon peak (Fig. 1d).</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e6211">The <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> signature of soil
respiration (<inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and its partitioning into autotrophic (<inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), heterotrophic
(<inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and abiotic (<inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), together with the relative contribution of each to
the soil and ecosystem respiration for Yatir Forest during eight campaigns
of measurements from January to September 2016 (numbers in parentheses
indicate <inline-formula><mml:math id="M393" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>SE) in comparison to results obtained previously in the
same forest (2001–2006 mean values). The monthly contribution of <inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
and <inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is presented in Fig. 3a and b, respectively.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Signature</oasis:entry>
         <oasis:entry rowsep="1" colname="col2"><inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col4"><inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col5"><inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col5" align="center">(‰) </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M407" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M408" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.7 (0.5<inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M410" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.3 (0.0<inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M412" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.5 (0.0<inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M414" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.8 (<inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula>)<inline-formula><mml:math id="M416" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M417" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">30<inline-formula><mml:math id="M418" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">50<inline-formula><mml:math id="M419" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M420" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>900<inline-formula><mml:math id="M421" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M422" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>134 (34<inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msup><mml:mo>)</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Relative contribution</oasis:entry>
         <oasis:entry colname="col2">0.40 (0.02)</oasis:entry>
         <oasis:entry colname="col3">0.39 (0.02)</oasis:entry>
         <oasis:entry colname="col4">0.21 (0.04)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">to <inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (2015–2016)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Relative contribution</oasis:entry>
         <oasis:entry colname="col2">0.24 (0.04)</oasis:entry>
         <oasis:entry colname="col3">0.23 (0.04)</oasis:entry>
         <oasis:entry colname="col4">0.13 (0.01)</oasis:entry>
         <oasis:entry colname="col5">0.60 (0.06)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">to <inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (2015–2016)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e6348"><inline-formula><mml:math id="M399" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula> Measured in the present study. <inline-formula><mml:math id="M400" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> Measured by Carmi et al. (2013). <inline-formula><mml:math id="M401" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> Calculated based on the measured atmospheric value by Carmi
et al. (2013). <inline-formula><mml:math id="M402" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> Calculated based on the best-fit regression
equation in  Fig. S2.</p></table-wrap-foot></table-wrap>

      <p id="d1e6732">The temporal variations across the seasonal cycle are reported in Fig. 2,
based on monthly mean values and exhibiting sharp differences between the wet
and dry seasons. As previously observed in this semiarid site, all <inline-formula><mml:math id="M426" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
fluxes peak in early spring between March and April. The corresponding
high-resolution data are reported in  Fig. S6, which show also that the
high winter (February) <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> rates were associated with clear days when
photosynthetic active radiation (PAR) increased with air temperature, <inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.
These data also show that, following rainy days, daily <inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values could reach
6.1 <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M431" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M432" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (i.e., in the UT microsite; data not
shown), although the average was <inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M434" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M435" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M436" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during the wet period, which diminished by <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">55</mml:mn></mml:mrow></mml:math></inline-formula> %
in the dry season to mean daily values of <inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M439" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M440" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M441" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. In spring (April), all <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes peaked during the
crossover trends of decreasing soil moisture content and increasing
temperature and PAR (Fig. S6).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e6925">Seasonal trends of monthly mean values during the research period
of <bold>(a)</bold> the fluxes of net ecosystem exchange (NEE), gross primary production
(GPP), and ecosystem respiration (<inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and its components, soil respiration
(<inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and aboveground tree respiration (<inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and monthly mean of precipitation (P), and monthly mean of key
environmental parameters; <bold>(b)</bold> soil water content at the top 10 cm
(SWC<inline-formula><mml:math id="M446" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula>) and soil temperature at 5 cm (<inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>); and <bold>(c)</bold> vapor pressure
deficit (VPD) and photosynthetic activity radiation (PAR). <inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is obtained
from <inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>-<inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Vertical dotted lines indicate the winter, spring, summer,
and fall seasons.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://bg.copernicus.org/articles/17/699/2020/bg-17-699-2020-f02.png"/>

        </fig>

      <p id="d1e7035">The temporal variations in the half-hourly values of <inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> reflected changes in
soil moisture at 0–5 cm depth and PAR (<inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> and 0.2, respectively; <inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) and negative correlations with <inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and RH (<inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> and 0.1,
respectively; <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). The variations in the integrated <inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> showed a
CV of 71 %, with the temporal variations dominated strongly by PAR (CV &gt; 100 %), moderately by SWC (CV <inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">85</mml:mn></mml:mrow></mml:math></inline-formula> %), and
weakly by RH (CV <inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> %; correlations and CV values were not
included in figures and tables). Repeating the models applied by
Grünzweig et al. (2009), the potential climatic factors that best
predicted daily <inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> shifted from SWC and PAR in the dry season to <inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and PAR
in the wet season (Table S2). These equations explained 43 % and 70 % of the variation in <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the dry and wet seasons, respectively (Table S2). A reasonable forecast of the temporal variations in <inline-formula><mml:math id="M463" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M464" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M465" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M466" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) at half-hourly values (<inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.60</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>)
was obtained based on SWC<inline-formula><mml:math id="M469" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values across the entire seasonal
cycle, based on
            <disp-formula id="Ch1.E13" content-type="numbered"><label>13</label><mml:math id="M471" display="block"><mml:mtable rowspacing="0.2ex" class="split" columnspacing="1em" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">0.05126</mml:mn><mml:mo>⋅</mml:mo><mml:mi>exp⁡</mml:mi><mml:mo mathsize="2.5em">(</mml:mo><mml:mn mathvariant="normal">0.04274</mml:mn><mml:mo>⋅</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">28.51</mml:mn><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">SWC</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">74.44</mml:mn><mml:mo>⋅</mml:mo><mml:msup><mml:mi mathvariant="normal">SWC</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo mathsize="2.5em">)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          At the ecosystem scale, <inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was characterized by high fluxes in the wet
season and peak values of <inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M475" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M476" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
in February to April (Fig. 2;  Table S1). <inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fluxes rapidly decreased after
the cessation of rain and reached the lowest values in the fall (September
to October), with mean dry-period values of <inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M479" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M480" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M481" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. 2,   Table S1). GPP had a mean value of <inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M483" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M484" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M485" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and daily NEE had a mean value of <inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M487" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M488" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M489" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Table S1 and  Fig. S6), with
the same seasonality for both (Fig. 2).</p>
      <?pagebreak page705?><p id="d1e7536">Figure 3 (see also Table 2) summarizes the seasonal variations in <inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
partitioning. The monthly <inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> were not significantly different but
were significantly different from <inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). The <inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratios
ranged from 0.32 to 0.46, the largest contribution occurring in early spring
from February to April. The <inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fraction ranged between 0.33 and 0.45,
being the highest during the wet season. The <inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fraction – the fraction of
inorganic sources from the total soil respiration – ranged from 0.09 to
0.35, the largest contribution being in the driest period. The mean relative
contributions of these components to <inline-formula><mml:math id="M499" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> over the sampling campaigns are
presented in Fig. 3a, but, on average, soil biotic fluxes were higher than
abiotic fluxes by a factor of <inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M501" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> partitioning showed an
average increase in <inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from 25 % in the wet season to 54 % in the
dry season and a decline in <inline-formula><mml:math id="M503" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from 75 % to 46 % on average from the
wet to the dry season, respectively, which reflected a seasonal change of
<inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the wet season to peak values in the dry season (Fig. 3b). Both the
highest and lowest <inline-formula><mml:math id="M505" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fractions (<inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.74</mml:mn></mml:mrow></mml:math></inline-formula> and nearly 0.34) along
the seasonal cycle were associated with low total <inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, that is, in the
fall before the <inline-formula><mml:math id="M508" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> peak in the spring and in the summer, when physiological
controls limited water loss (Fig. 2).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e7787"><bold>(a)</bold> Seasonal variations in the relative contribution of soil
autotrophic (<inline-formula><mml:math id="M509" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), heterotrophic (<inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and abiotic (<inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) components to <inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
and <bold>(b)</bold> seasonal variations in the relative contribution of soil autotrophic
(<inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), heterotrophic (<inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), abiotic (<inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and foliage and stem respiration
(<inline-formula><mml:math id="M516" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is obtained from <inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) components to ecosystem respiration (<inline-formula><mml:math id="M518" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)
during eight campaigns (January–September) in 2016. The contributions were estimated
with linear mixing models using <inline-formula><mml:math id="M519" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M520" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of
soil respiration (<inline-formula><mml:math id="M521" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and a soil <inline-formula><mml:math id="M522" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profile method at 0 to 120 cm
soil depth. Vertical dotted lines indicate the winter, spring, summer, and
fall seasons. These results confirmed earlier estimates of Grünzweig
et al. (2009) and Maseyk et al. (2008a).</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://bg.copernicus.org/articles/17/699/2020/bg-17-699-2020-f03.png"/>

        </fig>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e7971">Mean annual values of ecosystem respiration (<inline-formula><mml:math id="M523" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), its components
and associated ratios, net ecosystem exchange (NEE; from eddy covariance),
net primary productivity (NPP), gross primary productivity (GPP), carbon-use
efficiency (CUE), leaf area index (LAI), and ratio of total belowground
carbon allocation (TBCA) to GPP (TBCA / GPP) in the present study (mean of November 2015 to October 2016) and in comparison to results obtained previously in the
same forest (2001–2006 mean values). <inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M525" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M526" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M527" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M529" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denote
abiotic, heterotrophic, soil autotrophic, soil, foliage, and wood <inline-formula><mml:math id="M530" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
flux, respectively. <inline-formula><mml:math id="M531" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is derived during the two studies for the wet
and dry seasons.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Study</oasis:entry>
         <oasis:entry rowsep="1" colname="col2"><inline-formula><mml:math id="M543" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math id="M544" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col4"><inline-formula><mml:math id="M545" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col5"><inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col6"><inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col7"><inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col8"><inline-formula><mml:math id="M549" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" colname="col9">NEE</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">NPP</oasis:entry>
         <oasis:entry rowsep="1" colname="col11">GPP</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col11" align="center">(g m<inline-formula><mml:math id="M550" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M551" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Mean (2001–2006)</oasis:entry>
         <oasis:entry colname="col2">406</oasis:entry>
         <oasis:entry colname="col3">147</oasis:entry>
         <oasis:entry colname="col4">203</oasis:entry>
         <oasis:entry colname="col5">260</oasis:entry>
         <oasis:entry colname="col6">70</oasis:entry>
         <oasis:entry colname="col7">56</oasis:entry>
         <oasis:entry colname="col8">735</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M552" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>211</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M553" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>358</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M554" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>880</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">0.36</oasis:entry>
         <oasis:entry colname="col4">0.50</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">0.14</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.55</oasis:entry>
         <oasis:entry colname="col3">0.20</oasis:entry>
         <oasis:entry colname="col4">0.28</oasis:entry>
         <oasis:entry colname="col5">0.35</oasis:entry>
         <oasis:entry colname="col6">0.10</oasis:entry>
         <oasis:entry colname="col7">0.07</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean (2015–2016)</oasis:entry>
         <oasis:entry colname="col2">295</oasis:entry>
         <oasis:entry colname="col3">115</oasis:entry>
         <oasis:entry colname="col4">119</oasis:entry>
         <oasis:entry colname="col5">155</oasis:entry>
         <oasis:entry colname="col6">39</oasis:entry>
         <oasis:entry colname="col7">61</oasis:entry>
         <oasis:entry colname="col8">488</oasis:entry>
         <oasis:entry colname="col9"><inline-formula><mml:math id="M557" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>167</oasis:entry>
         <oasis:entry colname="col10"><inline-formula><mml:math id="M558" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>282</oasis:entry>
         <oasis:entry colname="col11"><inline-formula><mml:math id="M559" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>655</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M560" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">0.39</oasis:entry>
         <oasis:entry colname="col4">0.40</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">0.21</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M561" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.60</oasis:entry>
         <oasis:entry colname="col3">0.23</oasis:entry>
         <oasis:entry colname="col4">0.24</oasis:entry>
         <oasis:entry colname="col5">0.32</oasis:entry>
         <oasis:entry colname="col6">0.08</oasis:entry>
         <oasis:entry colname="col7">0.13</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ratio of <inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2016</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2003</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">1.08</oasis:entry>
         <oasis:entry colname="col4">0.81</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7">1.50</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Ratio of <inline-formula><mml:math id="M563" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2016</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub><mml:msub><mml:mo>)</mml:mo><mml:mn mathvariant="normal">2003</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.09</oasis:entry>
         <oasis:entry colname="col3">1.18</oasis:entry>
         <oasis:entry colname="col4">0.88</oasis:entry>
         <oasis:entry colname="col5">0.90</oasis:entry>
         <oasis:entry colname="col6">0.84</oasis:entry>
         <oasis:entry colname="col7">1.64</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
         <oasis:entry colname="col11"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Study</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col5" align="center"><inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" namest="col6" nameend="col7" align="center">CUE </oasis:entry>
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center">TBCA <inline-formula><mml:math id="M565" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> GPP<inline-formula><mml:math id="M566" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry rowsep="1" namest="col10" nameend="col11" align="center">LAI </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry namest="col2" nameend="col3" align="center">SWC<inline-formula><mml:math id="M567" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center">SWC<inline-formula><mml:math id="M568" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col6" nameend="col7" align="center"/>
         <oasis:entry namest="col8" nameend="col9" align="center"/>
         <oasis:entry namest="col10" nameend="col11" align="center">(m<inline-formula><mml:math id="M569" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M570" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean (2001–2006)</oasis:entry>
         <oasis:entry namest="col2" nameend="col3" align="center">2.5 </oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center">1.2 </oasis:entry>
         <oasis:entry namest="col6" nameend="col7" align="center">0.40 </oasis:entry>
         <oasis:entry namest="col8" nameend="col9" align="center">0.41 </oasis:entry>
         <oasis:entry namest="col10" nameend="col11" align="center">1.3 </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mean (2015–2016)</oasis:entry>
         <oasis:entry namest="col2" nameend="col3" align="center">1.6 </oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center">1.1 </oasis:entry>
         <oasis:entry namest="col6" nameend="col7" align="center">0.43 </oasis:entry>
         <oasis:entry namest="col8" nameend="col9" align="center">0.38 </oasis:entry>
         <oasis:entry namest="col10" nameend="col11" align="center">2.1 </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ratio of <inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2016</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2003</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col2" nameend="col3" align="center">0.64 </oasis:entry>
         <oasis:entry namest="col4" nameend="col5" align="center">0.92 </oasis:entry>
         <oasis:entry namest="col6" nameend="col7" align="center">1.06 </oasis:entry>
         <oasis:entry namest="col8" nameend="col9" align="center">0.93 </oasis:entry>
         <oasis:entry namest="col10" nameend="col11" align="center">1.62 </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e8074"><inline-formula><mml:math id="M532" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula> SWC <inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> (m<inline-formula><mml:math id="M534" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M535" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). <inline-formula><mml:math id="M536" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> SWC &lt; 0.2
[m<inline-formula><mml:math id="M537" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M538" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>]. <inline-formula><mml:math id="M539" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> The mean of GPP used by Grünzweig et al. (2009) to estimate the TBCA <inline-formula><mml:math id="M540" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> GPP ratio was 834 g m<inline-formula><mml:math id="M541" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M542" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p></table-wrap-foot></table-wrap>

</sec>
<?pagebreak page707?><sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Annual scale</title>
      <?pagebreak page709?><p id="d1e8974">On an annual timescale, estimates of <inline-formula><mml:math id="M572" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux components based on EC
measurements resulted in annual values of GPP, NPP, <inline-formula><mml:math id="M573" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and NEP of 655, 282,
488, and 167 g C m<inline-formula><mml:math id="M574" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M575" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively (Tables 3 and S1). On
average across the measurement period, <inline-formula><mml:math id="M576" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was the main <inline-formula><mml:math id="M577" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux to
atmosphere, making up <inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:mn mathvariant="normal">60</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> % of <inline-formula><mml:math id="M579" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:mn mathvariant="normal">295</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> g C m<inline-formula><mml:math id="M581" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M582" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; Tables 3 and S1), and <inline-formula><mml:math id="M583" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was another significant component
accounting for <inline-formula><mml:math id="M584" display="inline"><mml:mrow><mml:mn mathvariant="normal">40</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> % of <inline-formula><mml:math id="M585" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. 3b), which reflected the low-density (300 trees ha<inline-formula><mml:math id="M586" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) nature of the semiarid forest. As indicated
above, <inline-formula><mml:math id="M587" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> partitioning showed a decrease in <inline-formula><mml:math id="M588" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and an increase in <inline-formula><mml:math id="M589" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
from winter to summer, which is clearly apparent in Fig. 3b. On an annual
scale, during the study period, estimates of <inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M591" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M592" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M593" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values were
<inline-formula><mml:math id="M594" display="inline"><mml:mrow><mml:mn mathvariant="normal">194</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">36</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M595" display="inline"><mml:mrow><mml:mn mathvariant="normal">119</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M596" display="inline"><mml:mrow><mml:mn mathvariant="normal">115</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M597" display="inline"><mml:mrow><mml:mn mathvariant="normal">61</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> g C m<inline-formula><mml:math id="M598" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M599" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively. These rates of respiration fluxes
translated at the ecosystem scale to <inline-formula><mml:math id="M600" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M601" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> GPP of <inline-formula><mml:math id="M602" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">75</mml:mn></mml:mrow></mml:math></inline-formula> %,
lower than observed in other ecosystems (Table S3) and leading, in turn,
to high ecosystem CUE of 0.43.</p>
      <p id="d1e9346">Using the site records of nearly 20 years, long-term trends in GPP, NPP, <inline-formula><mml:math id="M603" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,
and NEP were examined. Soil respiration and its partitioning could not be
similarly monitored continuously, but combining the present results with the
2001–2006 values obtained by Grünzweig et al. (2009) and Maseyk et al. (2008a) provided a basis for estimating the long-term trends in soil
respiration. Notably, no clear or significant trend over time was observed
in any of the canopy-scale continuously monitored fluxes, but, because of
relatively large interannual variations, associated mainly with those in
precipitation (see Qubaja et al., 2020), it is likely that the relative
contributions of the different fluxes, expressed as ratios in Table 3,
provide a more robust perspective of the long-term temporal changes in the
ecosystem functioning. The results presented in Table 3 reflect the
long-term growth of the forest, with a relatively large increase in LAI, but
the TBCA remained around 40 %. The results also indicated little change
in the total soil respiration, <inline-formula><mml:math id="M604" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, component, (as a fraction of <inline-formula><mml:math id="M605" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> or GPP)
but a general shift from the autotrophic components to the heterotrophic
component (i.e., <inline-formula><mml:math id="M606" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). This was reflected in the decreasing ratio of the
autotrophic components (i.e., <inline-formula><mml:math id="M607" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M608" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M609" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and the increasing
ratio of <inline-formula><mml:math id="M610" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M611" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Table 3) across the 13-year observation period (2003 to 2016).</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Discussion</title>
      <p id="d1e9458">Partitioning ecosystem carbon fluxes and long-term observational studies are
key to understanding ecosystem carbon dynamics and their response to change.
Overall, the results support our research hypothesis that the observed high
CUE at our site is at least partly due to the characteristics of the carbon
flux partitioning that can be associated with the semiarid conditions.
Compared to other sites and climates (see comparative compilation in
Table S3 in the Supplement), the results reflect several key points: (1) relatively high
belowground allocation; (2) low soil respiration in general and low
heterotrophic respiration in particular; (3) combining the results for 2016
and those of our earlier study offered a long-term perspective across 13 years, indicating that the low <inline-formula><mml:math id="M612" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in this ecosystem is robust and exhibits
reduced sensitivity to temperature; and (4) there is a general long-term
shift from autotrophic to heterotrophic respiration.</p>
      <p id="d1e9472">Comparing <inline-formula><mml:math id="M613" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes in this forest with fluxes in a range of European
forests showed that mean NEP in the semiarid forest (167 g C m<inline-formula><mml:math id="M614" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M615" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) is similar to the mean NEP in other European forests (150 g C m<inline-formula><mml:math id="M616" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M617" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; FLUXNET).</p>
      <p id="d1e9534"><?xmltex \hack{\newpage}?>Carbon partitioning belowground (TBCA / GPP) was relatively high
(<inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">38</mml:mn></mml:mrow></mml:math></inline-formula> %), with little change across the long-term
observation period. It is, however, within the range of mean values for
forests in different biomes (Litton et al., 2007). High belowground
allocation helps explain the high rate of SOC (soil organic carbon) accumulation observed over the
period since afforestation (Grünzweig et al., 2007; Qubaja et al.,
2019). Note that, irrespective of the soil carbon accumulation, the abiotic
component to the <inline-formula><mml:math id="M619" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flux seems to be significant in dry environments
(Table 3) and in particular in the dry seasons, when biological activities
drastically decrease (Kowalski et al., 2008; Lopez-Ballesteros et al., 2017;
Serrano-Ortiz et al., 2010; Martí-Roura et al., 2019). The results show
that considering the abiotic effects on estimating soil respiration and, in
turn, on estimating the carbon budget in dry calcareous soils can play an
important part in estimating soil and ecosystem respiration fluxes (Angert
et al., 2015; Roland et al., 2012).</p>
      <p id="d1e9559">The soil <inline-formula><mml:math id="M620" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> efflux in the semiarid forest (295 g C m<inline-formula><mml:math id="M621" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M622" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>)
is at the low end of <inline-formula><mml:math id="M623" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values across the range of climatic regions, from 50
to 2750 g C m<inline-formula><mml:math id="M624" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M625" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Adachi et al., 2017; Chen et al., 2014;
Grünzweig et al., 2009; Hashimoto et al., 2015). This is clearly lower
than the mean <inline-formula><mml:math id="M626" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value for global evergreen needle forests, which is
estimated at 690 g C m<inline-formula><mml:math id="M627" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M628" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Chen et al., 2014), and between
estimates for desert scrub and Mediterranean woodland (224–713 g C m<inline-formula><mml:math id="M629" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M630" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; Raich and Schlesinger, 1992) or for Mediterranean forests
(561–1,015 g C m<inline-formula><mml:math id="M631" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> yr<inline-formula><mml:math id="M632" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; Casals et al., 2011; Luyssaert
et al.,
2007; Matteucci et al., 2015; Misson et al., 2010; Rey et al., 2002;
Rodeghiero and Cescatti, 2005). The mean instantaneous rate of <inline-formula><mml:math id="M633" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, 0.8 <inline-formula><mml:math id="M634" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M635" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M636" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, is also in the range reported for unmanaged
forest and grassland in the dry Mediterranean region (0.5 and 2.1 <inline-formula><mml:math id="M637" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol m<inline-formula><mml:math id="M638" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M639" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>; Correia et al., 2012).</p>
      <p id="d1e9794">The observed low <inline-formula><mml:math id="M640" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values were associated with a relatively high fraction
of autotrophic and a lower fraction of heterotrophic respiration. The mean
annual-scale <inline-formula><mml:math id="M641" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio of 0.40 was at the high end of the global range of
0.09 to 0.49 (Chen et al., 2014; Hashimoto et al., 2015). In contrast,
heterotrophic respiration showed an annual-scale <inline-formula><mml:math id="M642" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> ratio of <inline-formula><mml:math id="M643" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.39</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> (Table 2 and Fig. 3), which is lower than the estimated global mean
<inline-formula><mml:math id="M644" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value of 0.56 (Hashimoto et al., 2015) but within the range of
Mediterranean region forest, which varies between 0.29 and 0.77 (Casals et
al., 2011; Luyssaert et al., 2007; Matteucci et al., 2015; Misson et al.,
2010; Rey et al., 2002; Rodeghiero and Cescatti, 2005). The relatively low
annual scale of the heterotrophic respiration to <inline-formula><mml:math id="M645" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is consistent with the
dry soil over much of the year in this forest (Figs. 2 and   S6) and the
observed low decomposability of plant detritus and the high mean SOC
accumulation rate (Grünzweig et al., 2007).</p>
      <p id="d1e9886">The long-term perspective from the 13-year observation period indicates
emerging trends that can be a basis for assessing the effects of forest age
and the evident increase in LAI (Table 3) and changes in environmental
conditions<?pagebreak page710?> (generally warming and drying; see, e.g., Lelieveld et al.,
2012). Here, because comparing the noncontinuous data from the present (2016) and earlier (2001–2006) studies is sensitive to the large
interannual variations in the ecosystem activities and fluxes (Qubaja et
al., 2019), we focused on the more robust changes in the ratio of the
respiration components to the overall fluxes (<inline-formula><mml:math id="M646" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; Table 3). This shows a
shifting trend from the autotrophic components to the heterotrophic, with
little change in the contribution of <inline-formula><mml:math id="M647" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to the overall efflux. The ratios of
<inline-formula><mml:math id="M648" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M649" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M650" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M651" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> tended to decrease by about 13 %, while that of <inline-formula><mml:math id="M652" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
increased by about 18 %; similar trends were seen in soil respiration,
with <inline-formula><mml:math id="M653" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">sa</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> decreasing by <inline-formula><mml:math id="M654" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19 % and <inline-formula><mml:math id="M655" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> increasing by <inline-formula><mml:math id="M656" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>8 % (Table 3). The relatively low <inline-formula><mml:math id="M657" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> under conditions of high temperature in the
semiarid ecosystem implies reduced sensitivity of respiration to
temperature. This is partly imposed by low SWC conditions during extended
parts of the year (Grünzweig et al., 2009; cf. Rey et al., 2002; Xu and
Qi, 2001). Accordingly, <inline-formula><mml:math id="M658" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> showed greater sensitivity to <inline-formula><mml:math id="M659" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the wet
period, but, during the 8–9 months of the year when SWC was below
<inline-formula><mml:math id="M660" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M661" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M662" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, <inline-formula><mml:math id="M663" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> varied predominantly with water
availability. The long-term perspective reported in Table 3 indicates a
further decrease in temperature sensitivity, with mean <inline-formula><mml:math id="M664" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values in
the dry season decreasing from 1.6 to 1.1. These estimated <inline-formula><mml:math id="M665" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values
are generally consistent with published values for different ecosystems (1.4
to 2.0; Hashimoto et al., 2015; Zhou et al., 2009) and with low values under
low SWC (Reichstein et al., 2003; Tang et al., 2005). This is also
consistent with soil warming experiments by 0.76 <inline-formula><mml:math id="M666" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in
Mediterranean ecosystems, which decreased the <inline-formula><mml:math id="M667" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by 16 % and <inline-formula><mml:math id="M668" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by
14 % (Wang et al., 2014). Note also that the low temperature sensitivity
in the dry season is likely to be related to reduced microbial activity but
may also involve downregulation of plant activity (Maseyk et al., 2008a) and
drought-induced dormancy of shallow roots (Schiller, 2000). Finally, we also
note that the greater importance of moisture availability in influencing
respiration is clearly apparent from the observed relationships of <inline-formula><mml:math id="M669" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M670" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
to mean annual precipitation (MAP) in European evergreen needle forests (Fig. S8; see also Grünzweig et al., 2007), which are not observed with
respect to mean annual temperature.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e10175">The data used in this study are archived and available from the
corresponding author upon request (dan.yakir@weizmann.ac.il).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e10178">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-17-699-2020-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-17-699-2020-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e10187">RQ and DY designed the study; RQ, FT, ER, and DY performed the experiments.
RQ and DY analyzed the data. RQ and DY wrote the paper, with discussions and
contributions to interpretations of the results from all the coauthors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e10193">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e10199">This long-term study was funded by the Forestry Department of
Keren Kayemeth LeIsrael (KKL) and the German Research Foundation (DFG) as
part of the project “Climate feedbacks and benefits of semi-arid forests”
(CliFF), by the Israel Science Foundation (ISF; grant no. 1976/17), and by the Israel Science Foundation and the National Natural Science Foundation of China (ISF–NSFC) joint research program (grant no. 2579/16). The authors thank Efrat Schwartz for assistance with lab
work. The long-term operation of the Yatir Forest Research Field Site is
supported by the Cathy Wills and Robert Lewis Program in Environmental
Science. We thank the entire Yatir team for technical support and the local
KKL personnel for their cooperation.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e10204">This research has been supported by the Forestry Department of
Keren Kayemeth LeIsrael (KKL) and the German Research Foundation (DFG) as
part of the project “Climate feedbacks and benefits of semi-arid forests”
(CliFF), the Israel Science Foundation (ISF; grant no. 1976/17), and  the National Natural Science Foundation of China (ISF–NSFC) joint research program (grant no. 2579/16).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e10210">This paper was edited by Frank Hagedorn and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>Adachi, M., Ito, A., Yonemura, S., and Takeuchi, W.: Estimation of global
soil respiration by accounting for land-use changes derived from remote
sensing data, J. Environ. Manage., 200, 97–104,
<ext-link xlink:href="https://doi.org/10.1016/j.jenvman.2017.05.076" ext-link-type="DOI">10.1016/j.jenvman.2017.05.076</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>Angert, A., Yakir, D., Rodeghiero, M., Preisler, Y., Davidson, E. A., and Weiner, T.: Using <inline-formula><mml:math id="M671" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to study the relationships between soil <inline-formula><mml:math id="M672" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> efflux and soil respiration, Biogeosciences, 12, 2089–2099, <ext-link xlink:href="https://doi.org/10.5194/bg-12-2089-2015" ext-link-type="DOI">10.5194/bg-12-2089-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>
Aubinet, M., Grelle, A., Ibrom, A., Rannik, U., Moncrieff, J., Foken, T.,
Kowalski, A. S., Martin, P. H., Berbigier, P., Bernhofer, C., Clement, R.,
Elbers, J., Granier, A., Grunwald, T., Morgenstern, K., Pilegaard, K.,
Rebmann, C., Snijders, W., Valentini, R., and Vesala, T.: Estimates of the
annual net carbon and water exchange of forests: The EUROFLUX methodology,
Adv. Ecol. Res.,   30,   113–175, 2000.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>Bahn, M., Janssens, I. A., Reichstein, M., Smith, P., and Trumbore, S. E.:
Soil respiration across scales: towards an integration of patterns and
processes, New Phytol., 186, 292–296, <ext-link xlink:href="https://doi.org/10.1111/j.1469-8137.2010.03237.x" ext-link-type="DOI">10.1111/j.1469-8137.2010.03237.x</ext-link>,
2010.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Balogh, J., Pinter, K., Foti, S., Cserhalmi, D., Papp, M., and Nagy, Z.:
Dependence of soil respiration on soil moisture, clay content, soil organic
matter, and <inline-formula><mml:math id="M673" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> uptak<?pagebreak page711?>e in dry grasslands, Soil Biol. Biochem.,
43, 1006–1013, <ext-link xlink:href="https://doi.org/10.1016/j.soilbio.2011.01.017" ext-link-type="DOI">10.1016/j.soilbio.2011.01.017</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>Binkley, D., Stape, J. L., Takahashi, E. N., and Ryan, M. G.: Tree-girdling
to separate root and heterotrophic respiration in two Eucalyptus stands in
Brazil, Oecologia, 148, 447–454, <ext-link xlink:href="https://doi.org/10.1007/s00442-006-0383-6" ext-link-type="DOI">10.1007/s00442-006-0383-6</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>
Bonan, G. B.: Ecological climatology: concepts and applications, 2nd Edn., Cambridge: Cambridge University Press, Cambridge, 28–37, 2008.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>Bond-Lamberty, B. and Thomson, A.: Temperature-associated increases in the
global soil respiration record, Nature, 464, 579–582, <ext-link xlink:href="https://doi.org/10.1038/nature08930" ext-link-type="DOI">10.1038/nature08930</ext-link>,
2010.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>Buchmann, N.: Biotic and abiotic factors controlling soil respiration rates
in Picea abies stands, Soil Biol. Biochem., 32, 1625–1635,
<ext-link xlink:href="https://doi.org/10.1016/s0038-0717(00)00077-8" ext-link-type="DOI">10.1016/s0038-0717(00)00077-8</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>Carbone, M. S., Winston, G. C., and Trumbore, S. E.: Soil respiration in
perennial grass and shrub ecosystems: Linking environmental controls with
plant and microbial sources on seasonal and diel timescales, J.
Geophys. Res.-Biogeo., 113, G02022, <ext-link xlink:href="https://doi.org/10.1029/2007jg000611" ext-link-type="DOI">10.1029/2007jg000611</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>Carmi, I., Yakir, D., Yechieli, Y., Kronfeld, J., and Stiller, M.:
Variations in soil <inline-formula><mml:math id="M674" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and isotopic values in a semi-arid
region due to biotic and abiotic processes in the unsaturated zone,
Radiocarbon, 55, 932–942, 2013.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>Carvalhais, N., Forkel, M., Khomik, M., Bellarby, J., Jung, M., Migliavacca,
M., Mu, M. Q., Saatchi, S., Santoro, M., Thurner, M., Weber, U., Ahrens, B.,
Beer, C., Cescatti, A., Randerson, J. T., and Reichstein, M.: Global
covariation of carbon turnover times with climate in terrestrial ecosystems,
Nature, 514, 213–217, <ext-link xlink:href="https://doi.org/10.1038/nature13731" ext-link-type="DOI">10.1038/nature13731</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>Casals, P., Lopez-Sangil, L., Carrara, A., Gimeno, C., and Nogues, S.:
Autotrophic and heterotrophic contributions to short-term soil <inline-formula><mml:math id="M675" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> efflux
following simulated summer precipitation pulses in a Mediterranean dehesa,
Global Biogeochem. Cy., 25, GB3012, <ext-link xlink:href="https://doi.org/10.1029/2010gb003973" ext-link-type="DOI">10.1029/2010gb003973</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>Chen, D., Zhang, Y., Lin, Y., Zhu, W., and Fu, S.: Changes in belowground
carbon in Acacia crassicarpa and Eucalyptus urophylla plantations after tree
girdling, Plant   Soil, 326, 123–135, <ext-link xlink:href="https://doi.org/10.1007/s11104-009-9986-0" ext-link-type="DOI">10.1007/s11104-009-9986-0</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>Chen, S. T., Zou, J. W., Hu, Z. H., Chen, H. S., and Lu, Y. Y.: Global
annual soil respiration in relation to climate, soil properties and
vegetation characteristics: Summary of available data, Agr.
Forest Meteorol., 198, 335–346, <ext-link xlink:href="https://doi.org/10.1016/j.agrformet.2014.08.020" ext-link-type="DOI">10.1016/j.agrformet.2014.08.020</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>Conant, R. T., Klopatek, J. M., Malin, R. C., and Klopatek, C. C.: Carbon
pools and fluxes along an environmental gradient in northern Arizona,
Biogeochemistry, 43, 43–61, <ext-link xlink:href="https://doi.org/10.1023/a:1006004110637" ext-link-type="DOI">10.1023/a:1006004110637</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>Correia, A. C., Minunno, F., Caldeira, M. C., Banza, J., Mateus, J.,
Carneiro, M., Wingate, L., Shvaleva, A., Ramos, A., Jongen, M., Bugalho, M.
N., Nogueira, C., Lecomte, X., and Pereira, J. S.: Soil water availability
strongly modulates soil <inline-formula><mml:math id="M676" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> efflux in different Mediterranean ecosystems:
Model calibration using the Bayesian approach, Agr. Ecosyst.
Environ., 161, 88–100, <ext-link xlink:href="https://doi.org/10.1016/j.agee.2012.07.025" ext-link-type="DOI">10.1016/j.agee.2012.07.025</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>Davidson, E. A. and Janssens, I. A.: Temperature sensitivity of soil carbon
decomposition and feedbacks to climate change, Nature, 440, 165–173,
<ext-link xlink:href="https://doi.org/10.1038/nature04514" ext-link-type="DOI">10.1038/nature04514</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>DeLucia, E. H., Drake, J. E., Thomas, R. B., and Gonzalez-Meler, M.: Forest
carbon use efficiency: is respiration a constant fraction of gross primary
production?, Glob. Change Biol., 13, 1157–1167,
<ext-link xlink:href="https://doi.org/10.1111/j.1365-2486.2007.01365.x" ext-link-type="DOI">10.1111/j.1365-2486.2007.01365.x</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>Deng, Q., Hui, D., Zhang, D., Zhou, G., Liu, J., Liu, S., Chu, G., and Li,
J.: Effects of Precipitation Increase on Soil Respiration: A Three-Year
Field Experiment in Subtropical Forests in China, Plos One, 7, e41493,
<ext-link xlink:href="https://doi.org/10.1371/journal.pone.0041493" ext-link-type="DOI">10.1371/journal.pone.0041493</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>Etzold, S., Ruehr, N. K., Zweifel, R., Dobbertin, M., Zingg, A., Pluess, P.,
Hasler, R., Eugster, W., and Buchmann, N.: The Carbon Balance of Two
Contrasting Mountain Forest Ecosystems in Switzerland: Similar Annual
Trends, but Seasonal Differences, Ecosystems, 14, 1289–1309,
<ext-link xlink:href="https://doi.org/10.1007/s10021-011-9481-3" ext-link-type="DOI">10.1007/s10021-011-9481-3</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>Etzold, S., Zweifel, R., Ruehr, N. K., Eugster, W., and Buchmann, N.:
Long-term stem <inline-formula><mml:math id="M677" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration measurements in Norway spruce in relation
to biotic and abiotic factors, New Phytol., 197, 1173–1184,
<ext-link xlink:href="https://doi.org/10.1111/nph.12115" ext-link-type="DOI">10.1111/nph.12115</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>Falge, E., Baldocchi, D., Tenhunen, J., Aubinet, M., Bakwin, P., Berbigier,
P., Bernhofer, C., Burba, G., Clement, R., Davis, K. J., Elbers, J. A.,
Goldstein, A. H., Grelle, A., Granier, A., Guomundsson, J., Hollinger, D.,
Kowalski, A. S., Katul, G., Law, B. E., Malhi, Y., Meyers, T., Monson, R.
K., Munger, J. W., Oechel, W., Paw, K. T., Pilegaard, K., Rannik, U.,
Rebmann, C., Suyker, A., Valentini, R., Wilson, K., and Wofsy, S.:
Seasonality of ecosystem respiration and gross primary production as derived
from FLUXNET measurements, Agr. Forest Meteorol., 113, 53–74,
<ext-link xlink:href="https://doi.org/10.1016/s0168-1923(02)00102-8" ext-link-type="DOI">10.1016/s0168-1923(02)00102-8</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Flechard, C. R., Ibrom, A., Skiba, U. M., de Vries, W., van Oijen, M.,
Cameron, D. R., Dise, N. B., Korhonen, J. F. J., Buchmann, N., Legout, A.,
Simpson, D., Sanz, M. J., Aubinet, M., Loustau, D., Montagnani, L.,
Neirynck, J., Janssens, I. A., Pihlatie, M., Kiese, R., Siemens, J.,
Francez, A.-J., Augustin, J., Varlagin, A., Olejnik, J., Juszczak, R.,
Aurela, M., Chojnicki, B. H., Dämmgen, U., Djuricic, V., Drewer, J.,
Eugster, W., Fauvel, Y., Fowler, D., Frumau, A., Granier, A., Gross, P.,
Hamon, Y., Helfter, C., Hensen, A., Horváth, L., Kitzler, B., Kruijt,
B., Kutsch, W. L., Lobo-do-Vale, R., Lohila, A., Longdoz, B., Marek, M. V.,
Matteucci, G., Mitosinkova, M., Moreaux, V., Neftel, A., Ourcival, J.-M.,
Pilegaard, K., Pita, G., Sanz, F., Schjoerring, J. K., Sebastià, M.-T.,
Tang, Y. S., Uggerud, H., Urbaniak, M., van Dijk, N., Vesala, T., Vidic, S.,
Vincke, C., Weidinger, T., Zechmeister-Boltenstern, S., Butterbach-Bahl, K.,
Nemitz, E., and Sutton, M. A.: Carbon <inline-formula><mml:math id="M678" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> nitrogen interactions in European forests and semi-natural vegetation. Part I: Fluxes and budgets of carbon, nitrogen and greenhouse gases from ecosystem monitoring and modelling, Biogeosciences Discuss., <ext-link xlink:href="https://doi.org/10.5194/bg-2019-333" ext-link-type="DOI">10.5194/bg-2019-333</ext-link>, in review, 2019a.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>Flechard, C. R., van Oijen, M., Cameron, D. R., de Vries, W., Ibrom, A.,
Buchmann, N., Dise, N. B., Janssens, I. A., Neirynck, J., Montagnani, L.,
Varlagin, A., Loustau, D., Legout, A., Ziemblińska, K., Aubinet, M.,
Aurela, M., Chojnicki, B. H., Drewer, J., Eugster, W., Francez, A.-J.,
Juszczak, R., Kitzler, B., Kutsch, W. L., Lohila, A., Longdoz, B.,
Matteucci, G., Moreaux, V., Neftel, A., Olejnik, J., Sanz, M. J., Siemens,
J., Vesala, T., Vincke, C., Nemitz, E., Zechmeister-Boltenstern, S.,
Butterbach-Bahl, K., Skiba, U. M., and Sutton, M. A.: Carbon <inline-formula><mml:math id="M679" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> nitrogen
interactions in European forests and semi-natural vegetation. Par<?pagebreak page712?>t II:
Untangling climatic, edaphic, management and nitrogen deposition effects on
carbon sequestration potentials, Biogeosciences Discuss.,
<ext-link xlink:href="https://doi.org/10.5194/bg-2019-335" ext-link-type="DOI">10.5194/bg-2019-335</ext-link>, in review, 2019b.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>Frank, A. B., Liebig, M. A., and Hanson, J. D.: Soil carbon dioxide fluxes
in northern semiarid grasslands, Soil Biol. Biochem., 34,
1235–1241, <ext-link xlink:href="https://doi.org/10.1016/s0038-0717(02)00062-7" ext-link-type="DOI">10.1016/s0038-0717(02)00062-7</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>Frey, B., Hagedorn, F., and Giudici, F.: Effect of girdling on soil
respiration and root composition in a sweet chestnut forest, Forest Ecol.
Manage., 225, 271–277, <ext-link xlink:href="https://doi.org/10.1016/j.foreco.2006.01.003" ext-link-type="DOI">10.1016/j.foreco.2006.01.003</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 1?><mixed-citation>Gelfand, I., Grünzweig, J. M., and Yakir, D.: Slowing of nitrogen
cycling and increasing nitrogen use efficiency following afforestation of
semi-arid shrubland, Oecologia, 168, 563–575, <ext-link xlink:href="https://doi.org/10.1007/s00442-011-2111-0" ext-link-type="DOI">10.1007/s00442-011-2111-0</ext-link>,
2012.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 1?><mixed-citation>Giardina, C. P. and Ryan, M. G.: Total belowground carbon allocation in a
fast-growing Eucalyptus plantation estimated using a carbon balance
approach, Ecosystems, 5, 487–499, <ext-link xlink:href="https://doi.org/10.1007/s10021-002-0130-8" ext-link-type="DOI">10.1007/s10021-002-0130-8</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 1?><mixed-citation>Graven, H. D., Guilderson, T. P., and Keeling, R. F.: Observations of
radiocarbon in <inline-formula><mml:math id="M680" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at La Jolla, California, USA 1992–2007: Analysis of the
long-term trend, J. Geophys. Res.-Atmos., 117, D02302,
<ext-link xlink:href="https://doi.org/10.1029/2011jd016533" ext-link-type="DOI">10.1029/2011jd016533</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>Grünzweig, J. M., Gelfand, I., Fried, Y., and Yakir, D.: Biogeochemical factors contributing to enhanced carbon storage following afforestation of a semi-arid shrubland, Biogeosciences, 4, 891–904, <ext-link xlink:href="https://doi.org/10.5194/bg-4-891-2007" ext-link-type="DOI">10.5194/bg-4-891-2007</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 1?><mixed-citation>Grünzweig, J. M., Hemming, D., Maseyk, K., Lin, T., Rotenberg, E.,
Raz-Yaseef, N., Falloon, P. D., and Yakir, D.: Water limitation to soil <inline-formula><mml:math id="M681" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
efflux in a pine forest at the semiarid “timberline”, J. Geophys.
Res.-Biogeo., 114, G03008, <ext-link xlink:href="https://doi.org/10.1029/2008jg000874" ext-link-type="DOI">10.1029/2008jg000874</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 1?><mixed-citation>Grünzweig, J. M., Lin, T., Rotenberg, E., Schwartz, A., and Yakir, D.:
Carbon sequestration in arid-land forest, Glob. Change Biol., 9, 791–799,
<ext-link xlink:href="https://doi.org/10.1046/j.1365-2486.2003.00612.x" ext-link-type="DOI">10.1046/j.1365-2486.2003.00612.x</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 1?><mixed-citation>Hagedorn, F., Joseph, J., Peter, M., Luster, J., Pritsch, K., Geppert, U.,
Kerner, R., Molinier, V., Egli, S., Schaub, M., Liu, J. F., Li, M. H.,
Sever, K., Weiler, M., Siegwolf, R. T. W., Gessler, A., and Arend, M.:
Recovery of trees from drought depends on belowground sink control, Nat.
Plants, 2, 1–5, <ext-link xlink:href="https://doi.org/10.1038/nplants.2016.111" ext-link-type="DOI">10.1038/nplants.2016.111</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 1?><mixed-citation>Hashimoto, S., Carvalhais, N., Ito, A., Migliavacca, M., Nishina, K., and
Reichstein, M.: Global spatiotemporal distribution of soil respiration
modeled using a global database, Biogeosciences, 12, 4121–4132, <ext-link xlink:href="https://doi.org/10.5194/bg-12-4121-2015" ext-link-type="DOI">10.5194/bg-12-4121-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 1?><mixed-citation>Hemming, D., Yakir, D., Ambus, P., Aurela, M., Besson, C., Black, K.,
Buchmann, N., Burlett, R., Cescatti, A., Clement, R., Gross, P., Granier,
A., Grunwald, T., Havrankova, K., Janous, D., Janssens, I. A., Knohl, A.,
Ostner, B. K., Kowalski, A., Laurila, T., Mata, C., Marcolla, B., Matteucci,
G., Moncrieff, J., Moors, E. J., Osborne, B., Pereira, J. S., Pihlatie, M.,
Pilegaard, K., Ponti, F., Rosova, Z., Rossi, F., Scartazza, A., and Vesala,
T.: Pan-European delta C-13 values of air and organic matter from forest
ecosystems, Glob. Change Biol., 11, 1065–1093,
<ext-link xlink:href="https://doi.org/10.1111/j.1365-2486.2005.00971.x" ext-link-type="DOI">10.1111/j.1365-2486.2005.00971.x</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 1?><mixed-citation>Hogberg, P., Bhupinderpal, S., Lofvenius, M. O., and Nordgren, A.:
Partitioning of soil respiration into its autotrophic and heterotrophic
components by means of tree-girdling in old boreal spruce forest, Forest
Ecol. Manag., 257, 1764–1767, <ext-link xlink:href="https://doi.org/10.1016/j.foreco.2009.01.036" ext-link-type="DOI">10.1016/j.foreco.2009.01.036</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><?label 1?><mixed-citation>Hui, D. F. and Luo, Y. Q.: Evaluation of soil <inline-formula><mml:math id="M682" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production and transport
in Duke Forest using a process-based modeling approach, Global
Biogeochem. Cy., 18, GB4029, <ext-link xlink:href="https://doi.org/10.1029/2004gb002297" ext-link-type="DOI">10.1029/2004gb002297</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 1?><mixed-citation>
IPCC: Climate Change 2014: Mitigation of Climate Change, Contribution of
Working Group III to the Fifth Assessment Report of the Intergovernmental
Panel on Climate Change, edited by:  Edenhofer, O., PichsMadruga, R., Sokona, Y., Minx, J. C., Farahani, E., Kadner, S., Seyboth, K., Adler, A., Baum, I., Brunner, S., Eickemeier, P., Kriemann, B., Savolainen, J., Schlomer, S., VonStechow, C., and Zwickel, T., Cambridge University
Press, Cambridge and New York, 843–846, 2014.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><?label 1?><mixed-citation>Jiang, H., Deng, Q., Zhou, G., Hui, D., Zhang, D., Liu, S., Chu, G., and Li,
J.: Responses of soil respiration and its temperature/moisture sensitivity
to precipitation in three subtropical forests in southern China,
Biogeosciences, 10, 3963–3982, <ext-link xlink:href="https://doi.org/10.5194/bg-10-3963-2013" ext-link-type="DOI">10.5194/bg-10-3963-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><?label 1?><mixed-citation>Joseph, J., Kulls, C., Arend, M., Schaub, M., Hagedorn, F., Gessler, A., and
Weiler, M.: Application of a laser-based spectrometer for continuous in situ
measurements of stable isotopes of soil <inline-formula><mml:math id="M683" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in calcareous and acidic soils,
Soil, 5, 49–62, <ext-link xlink:href="https://doi.org/10.5194/soil-5-49-2019" ext-link-type="DOI">10.5194/soil-5-49-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><?label 1?><mixed-citation>Kowalski, A. S., Serrano-Ortiz, P., Janssens, I. A., Sanchez-Moral, S.,
Cuezva, S., Domingo, F., Were, A., and Alados-Arboledas, L.: Can flux tower
research neglect geochemical <inline-formula><mml:math id="M684" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exchange?, Agr. Forest
Meteorol., 148, 1045–1054, <ext-link xlink:href="https://doi.org/10.1016/j.agrformet.2008.02.004" ext-link-type="DOI">10.1016/j.agrformet.2008.02.004</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib43"><label>43</label><?label 1?><mixed-citation>Kuzyakov, Y.: Sources of <inline-formula><mml:math id="M685" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> efflux from soil and review of partitioning
methods, Soil Biol. Biochem., 38, 425–448,
<ext-link xlink:href="https://doi.org/10.1016/j.soilbio.2005.08.020" ext-link-type="DOI">10.1016/j.soilbio.2005.08.020</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 1?><mixed-citation>Lelieveld, J., Hadjinicolaou, P., Kostopoulou, E., Chenoweth, J., El Maayar,
M., Giannakopoulos, C., Hannides, C., Lange, M. A., Tanarhte, M., Tyrlis,
E., and Xoplaki, E.: Climate change and impacts in the Eastern Mediterranean
and the Middle East, Climatic Change, 114, 667–687,
<ext-link xlink:href="https://doi.org/10.1007/s10584-012-0418-4" ext-link-type="DOI">10.1007/s10584-012-0418-4</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 1?><mixed-citation>Lellei-Kovacs, E., Kovacs-Lang, E., Botta-Dukat, Z., Kalapos, T., Emmett,
B., and Beier, C.: Thresholds and interactive effects of soil moisture on
the temperature response of soil respiration, Eur. J. Soil
Biol., 47, 247–255, <ext-link xlink:href="https://doi.org/10.1016/j.ejsobi.2011.05.004" ext-link-type="DOI">10.1016/j.ejsobi.2011.05.004</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 1?><mixed-citation>Levin, I., Naegler, T., Kromer, B., Diehl, M., Francey, R. J., Gomez-Pelaez,
A. J., Steele, L. P., Wagenbach, D., Weller, R., and Worthy, D. E.:
Observations and modelling of the global distribution and long-term trend of
atmospheric (<inline-formula><mml:math id="M686" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)-C-14, Tellus  B, 62, 207–207, <ext-link xlink:href="https://doi.org/10.1111/j.1600-0889.2010.00456.x" ext-link-type="DOI">10.1111/j.1600-0889.2010.00456.x</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib47"><label>47</label><?label 1?><mixed-citation>Lin, G. H., Ehleringer, J. R., Rygiewicz, P. T., Johnson, M. G., and Tingey,
D. T.: Elevated <inline-formula><mml:math id="M687" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and temperature impacts on different components of soil
<inline-formula><mml:math id="M688" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> efflux in Douglas-fir terracosms, Glob. Change Biol., 5, 157–168,
<ext-link xlink:href="https://doi.org/10.1046/j.1365-2486.1999.00211.x" ext-link-type="DOI">10.1046/j.1365-2486.1999.00211.x</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bib48"><label>48</label><?label 1?><mixed-citation>Litton, C. M., Raich, J. W., and Ryan, M. G.: Carbon allocation in forest
ecosystems, Glob. Change Biol., 13, 2089–2109,
<ext-link xlink:href="https://doi.org/10.1111/j.1365-2486.2007.01420.x" ext-link-type="DOI">10.1111/j.1365-2486.2007.01420.x</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib49"><label>49</label><?label 1?><mixed-citation>Lopez-Ballesteros, A., Serrano-Ortiz, P., Kowalski, A. S., Sanchez-Canete,
E. P., Scott, R. L., and Domingo, F.: Subterranean ventilation of
allochthonous <inline-formula><mml:math id="M689" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> governs net <inline-formula><mml:math id="M690" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> exchang<?pagebreak page713?>e in a semiarid Mediterranean
grassland, Agr. Forest Meteorol., 234, 115–126,
<ext-link xlink:href="https://doi.org/10.1016/j.agrformet.2016.12.021" ext-link-type="DOI">10.1016/j.agrformet.2016.12.021</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib50"><label>50</label><?label 1?><mixed-citation>Luyssaert, S., Inglima, I., Jung, M., Richardson, A. D., Reichstein, M.,
Papale, D., Piao, S. L., Schulzes, E. D., Wingate, L., Matteucci, G.,
Aragao, L., Aubinet, M., Beers, C., Bernhofer, C., Black, K. G., Bonal, D.,
Bonnefond, J. M., Chambers, J., Ciais, P., Cook, B., Davis, K. J., Dolman,
A. J., Gielen, B., Goulden, M., Grace, J., Granier, A., Grelle, A., Griffis,
T., Grunwald, T., Guidolotti, G., Hanson, P. J., Harding, R., Hollinger, D.
Y., Hutyra, L. R., Kolar, P., Kruijt, B., Kutsch, W., Lagergren, F.,
Laurila, T., Law, B. E., Le Maire, G., Lindroth, A., Loustau, D., Malhi, Y.,
Mateus, J., Migliavacca, M., Misson, L., Montagnani, L., Moncrieff, J.,
Moors, E., Munger, J. W., Nikinmaa, E., Ollinger, S. V., Pita, G., Rebmann,
C., Roupsard, O., Saigusa, N., Sanz, M. J., Seufert, G., Sierra, C., Smith,
M. L., Tang, J., Valentini, R., Vesala, T., and Janssens, I. A.: <inline-formula><mml:math id="M691" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> balance
of boreal, temperate, and tropical forests derived from a global database,
Glob. Change Biol., 13, 2509–2537, <ext-link xlink:href="https://doi.org/10.1111/j.1365-2486.2007.01439.x" ext-link-type="DOI">10.1111/j.1365-2486.2007.01439.x</ext-link>,
2007.</mixed-citation></ref>
      <ref id="bib1.bib51"><label>51</label><?label 1?><mixed-citation>Marti-Roura, M., Hagedorn, F., Rovira, P., and Romanya, J.: Effect of land use and carbonates on organic matter stabilization and microbial communities in Mediterranean soils, Geoderma, 351, 103–115, <ext-link xlink:href="https://doi.org/10.1016/j.geoderma.2019.05.021" ext-link-type="DOI">10.1016/j.geoderma.2019.05.021</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib52"><label>52</label><?label 1?><mixed-citation>Maseyk, K., Grünzweig, J. M., Rotenberg, E., and Yakir, D.: Respiration
acclimation contributes to high carbon-use efficiency in a seasonally dry
pine forest, Glob. Change Biol., 14, 1553–1567,
<ext-link xlink:href="https://doi.org/10.1111/j.1365-2486.2008.01604.x" ext-link-type="DOI">10.1111/j.1365-2486.2008.01604.x</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib53"><label>53</label><?label 1?><mixed-citation>Matteucci, M., Gruening, C., Ballarin, I. G., Seufert, G., and Cescatti, A.:
Components, drivers and temporal dynamics of ecosystem respiration in a
Mediterranean pine forest, Soil Biol. Biochem., 88, 224–235,
<ext-link xlink:href="https://doi.org/10.1016/j.soilbio.2015.05.017" ext-link-type="DOI">10.1016/j.soilbio.2015.05.017</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib54"><label>54</label><?label 1?><mixed-citation>Misson, L., Rocheteau, A., Rambal, S., Ourcival, J. M., Limousin, J. M., and
Rodriguez, R.: Functional changes in the control of carbon fluxes after 3
years of increased drought in a Mediterranean evergreen forest?, Glob.
Change Biol., 16, 2461–2475, <ext-link xlink:href="https://doi.org/10.1111/j.1365-2486.2009.02121.x" ext-link-type="DOI">10.1111/j.1365-2486.2009.02121.x</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib55"><label>55</label><?label 1?><mixed-citation>Pataki, D. E., Ehleringer, J. R., Flanagan, L. B., Yakir, D., Bowling, D.
R., Still, C. J., Buchmann, N., Kaplan, J. O., and Berry, J. A.: The
application and interpretation of Keeling plots in terrestrial carbon cycle
research, Global Biogeochem. Cy., 17, 1022, <ext-link xlink:href="https://doi.org/10.1029/2001gb001850" ext-link-type="DOI">10.1029/2001gb001850</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib56"><label>56</label><?label 1?><mixed-citation>Peterjohn, W. T., Melillo, J. M., Steudler, P. A., Newkirk, K. M., Bowles,
F. P., and Aber, J. D.: Responses of trace gas fluxes and n availability to
experimentally elevated soil temperatures, Ecol. Appl., 4,
617–625, <ext-link xlink:href="https://doi.org/10.2307/1941962" ext-link-type="DOI">10.2307/1941962</ext-link>, 1994.</mixed-citation></ref>
      <ref id="bib1.bib57"><label>57</label><?label 1?><mixed-citation>Poulter, B., Frank, D., Ciais, P., Myneni, R. B., Andela, N., Bi, J.,
Broquet, G., Canadell, J. G., Chevallier, F., Liu, Y. Y., Running, S. W.,
Sitch, S., and van der Werf, G. R.: Contribution of semi-arid ecosystems to
interannual variability of the global carbon cycle, Nature, 509, 600–603,
<ext-link xlink:href="https://doi.org/10.1038/nature13376" ext-link-type="DOI">10.1038/nature13376</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib58"><label>58</label><?label 1?><mixed-citation>Preisler, Y., Tatarinov, F., Grunzweig, J. M., Bert, D., Ogee, J., Wingate,
L., Rotenberg, E., Rohatyn, S., Her, N., Moshe, I., Klein, T., and Yakir,
D.: Mortality versus survival in drought-affected Aleppo pine forest depends
on the extent of rock cover and soil stoniness, Funct. Ecol., 33,
901–912, <ext-link xlink:href="https://doi.org/10.1111/1365-2435.13302" ext-link-type="DOI">10.1111/1365-2435.13302</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib59"><label>59</label><?label 1?><mixed-citation>Qubaja, R., Grünzweig, J., Rotenberg, E., and Yakir, D.: Evidence for
large carbon sink and long residence time in semiarid forests based on 15
year flux and inventory records, Glob. Change Biol., 2019, 1–12, <ext-link xlink:href="https://doi.org/10.1111/gcb.14927" ext-link-type="DOI">10.1111/gcb.14927</ext-link>,
2019.</mixed-citation></ref>
      <ref id="bib1.bib60"><label>60</label><?label 1?><mixed-citation>Qubaja, R., Amer, M., Tatrinov, F., Rotenberg, E., Preisler, Y., Sprintsin,
M., and Yakir, D.: Partitioning evapotranspiration and its long-term
evolution in a dry pine forest using measurement-based estimates of soil
evaporation, Agr. Forest Meteorol., 281, 107831,
<ext-link xlink:href="https://doi.org/10.1016/j.agrformet.2019.107831" ext-link-type="DOI">10.1016/j.agrformet.2019.107831</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib61"><label>61</label><?label 1?><mixed-citation>Raich, J. W. and Schlesinger, W. H.: The global carbon-dioxide flux in soil
respiration and its relationship to vegetation and climate, Tellus
B, 44, 81–99,
<ext-link xlink:href="https://doi.org/10.1034/j.1600-0889.1992.t01-1-00001.x" ext-link-type="DOI">10.1034/j.1600-0889.1992.t01-1-00001.x</ext-link>, 1992.</mixed-citation></ref>
      <ref id="bib1.bib62"><label>62</label><?label 1?><mixed-citation>Ramnarine, R., Wagner-Riddle, C., Dunfield, K. E., and Voroney, R. P.:
Contributions of carbonates to soil <inline-formula><mml:math id="M692" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, Can. J. Soil
Sci., 92, 599–607, <ext-link xlink:href="https://doi.org/10.4141/cjss2011-025" ext-link-type="DOI">10.4141/cjss2011-025</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib63"><label>63</label><?label 1?><mixed-citation>Raz-Yaseef, N., Rotenberg, E., and Yakir, D.: Effects of spatial variations
in soil evaporation caused by tree shading on water flux partitioning in a
semi-arid pine forest, Agr. Forest Meteorol., 150, 454–462,
<ext-link xlink:href="https://doi.org/10.1016/j.agrformet.2010.01.010" ext-link-type="DOI">10.1016/j.agrformet.2010.01.010</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib64"><label>64</label><?label 1?><mixed-citation>Reichstein, M., Rey, A., Freibauer, A., Tenhunen, J., Valentini, R., Banza,
J., Casals, P., Cheng, Y. F., Grünzweig, J. M., Irvine, J., Joffre, R.,
Law, B. E., Loustau, D., Miglietta, F., Oechel, W., Ourcival, J. M.,
Pereira, J. S., Peressotti, A., Ponti, F., Qi, Y., Rambal, S., Rayment, M.,
Romanya, J., Rossi, F., Tedeschi, V., Tirone, G., Xu, M., and Yakir, D.:
Modeling temporal and large-scale spatial variability of soil respiration
from soil water availability, temperature and vegetation productivity
indices, Global Biogeochem. Cy., 17, 1104, <ext-link xlink:href="https://doi.org/10.1029/2003gb002035" ext-link-type="DOI">10.1029/2003gb002035</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bib65"><label>65</label><?label 1?><mixed-citation>Rey, A., Pegoraro, E., Tedeschi, V., De Parri, I., Jarvis, P. G., and
Valentini, R.: Annual variation in soil respiration and its components in a
coppice oak forest in Central Italy, Glob. Change Biol., 8, 851–866,
<ext-link xlink:href="https://doi.org/10.1046/j.1365-2486.2002.00521.x" ext-link-type="DOI">10.1046/j.1365-2486.2002.00521.x</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib66"><label>66</label><?label 1?><mixed-citation>Rodeghiero, M. and Cescatti, A.: Main determinants of forest soil
respiration along an elevation/temperature gradient in the Italian Alps,
Glob. Change Biol., 11, 1024–1041, <ext-link xlink:href="https://doi.org/10.1111/j.1365-2486.2005.00963.x" ext-link-type="DOI">10.1111/j.1365-2486.2005.00963.x</ext-link>,
2005.</mixed-citation></ref>
      <ref id="bib1.bib67"><label>67</label><?label 1?><mixed-citation>
Roland, M.: Contributions of carbonate weathering to the net ecosystem
carbon balance of a mediterranean forest, Ph.D. thesis, Antwerpen
University, Antwerpen, Belgium, 117–142, 2012.</mixed-citation></ref>
      <ref id="bib1.bib68"><label>68</label><?label 1?><mixed-citation>Ross, I., Misson, L., Rambal, S., Arneth, A., Scott, R. L., Carrara, A.,
Cescatti, A., and Genesio, L.: How do variations in the temporal
distribution of rainfall events affect ecosystem fluxes in seasonally
water-limited Northern Hemisphere shrublands and forests?, Biogeosciences,
9, 1007–1024, <ext-link xlink:href="https://doi.org/10.5194/bg-9-1007-2012" ext-link-type="DOI">10.5194/bg-9-1007-2012</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib69"><label>69</label><?label 1?><mixed-citation>Rotenberg, E. and Yakir, D.: Contribution of Semi-Arid Forests to the
Climate System, Science, 327, 451–454, <ext-link xlink:href="https://doi.org/10.1126/science.1179998" ext-link-type="DOI">10.1126/science.1179998</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib70"><label>70</label><?label 1?><mixed-citation>
Schiller, G.: Ecophysiology of Pinus halepensis Mill. and P. brutia Ten, in:
Ecology, Biogeography and Management of Pinus halepensis and P. brutia
Forest Ecosystems in the Mediterranean Basin, edited by: Ne'eman, G.
and
Trabaud, L., Backhuys, Leiden, The Netherlands, 51–65, 2000.</mixed-citation></ref>
      <?pagebreak page714?><ref id="bib1.bib71"><label>71</label><?label 1?><mixed-citation>Serrano-Ortiz, P., Roland, M., Sanchez-Moral, S., Janssens, I. A., Domingo,
F., Godderis, Y., and Kowalski, A. S.: Hidden, abiotic <inline-formula><mml:math id="M693" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> flows and gaseous
reservoirs in the terrestrial carbon cycle: Review and perspectives,
Agr. Forest Meteorol., 150, 321–329,
<ext-link xlink:href="https://doi.org/10.1016/j.agrformet.2010.01.002" ext-link-type="DOI">10.1016/j.agrformet.2010.01.002</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib72"><label>72</label><?label 1?><mixed-citation>Shachnovich, Y., Berliner, P. R., and Bar, P.: Rainfall interception and
spatial distribution of throughfall in a pine forest planted in an arid
zone, J. Hydrol., 349, 168–177, <ext-link xlink:href="https://doi.org/10.1016/j.jhydrol.2007.10.051" ext-link-type="DOI">10.1016/j.jhydrol.2007.10.051</ext-link>,
2008.</mixed-citation></ref>
      <ref id="bib1.bib73"><label>73</label><?label 1?><mixed-citation>Shen, W. J., Jenerette, G. D., Hui, D. F., Phillips, R. P., and Ren, H.:
Effects of changing precipitation regimes on dryland soil respiration and C
pool dynamics at rainfall event, seasonal and interannual scales, J.
Geophys. Res.-Biogeo., 113, G03024, <ext-link xlink:href="https://doi.org/10.1029/2008jg000685" ext-link-type="DOI">10.1029/2008jg000685</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib74"><label>74</label><?label 1?><mixed-citation>Subke, J.-A., Voke, N. R., Leronni, V., Garnett, M. H., and Ineson, P.:
Dynamics and pathways of autotrophic and heterotrophic soil <inline-formula><mml:math id="M694" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> efflux
revealed by forest girdling, J. Ecol., 99, 186–193,
<ext-link xlink:href="https://doi.org/10.1111/j.1365-2745.2010.01740.x" ext-link-type="DOI">10.1111/j.1365-2745.2010.01740.x</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib75"><label>75</label><?label 1?><mixed-citation>Taneva, L. and Gonzalez-Meler, M. A.: Distinct patterns in the diurnal and seasonal variability in four components of soil respiration in a temperate forest under free-air <inline-formula><mml:math id="M695" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enrichment, Biogeosciences, 8, 3077–3092, <ext-link xlink:href="https://doi.org/10.5194/bg-8-3077-2011" ext-link-type="DOI">10.5194/bg-8-3077-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib76"><label>76</label><?label 1?><mixed-citation>Tang, J. W., Baldocchi, D. D., and Xu, L.: Tree photosynthesis modulates
soil respiration on a diurnal time scale, Glob. Change Biol., 11,
1298–1304, <ext-link xlink:href="https://doi.org/10.1111/j.1365-2486.2005.00987.x" ext-link-type="DOI">10.1111/j.1365-2486.2005.00987.x</ext-link>, 2005.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib77"><label>77</label><?label 1?><mixed-citation>Tatarinov, F., Rotenberg, E., Maseyk, K., Ogee, J., Klein, T., and Yakir,
D.: Resilience to seasonal heat wave episodes in a Mediterranean pine
forest, New Phytol., 210, 485–496, <ext-link xlink:href="https://doi.org/10.1111/nph.13791" ext-link-type="DOI">10.1111/nph.13791</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib78"><label>78</label><?label 1?><mixed-citation>Taylor, A. J., Lai, C. T., Hopkins, F. M., Wharton, S., Bible, K., Xu, X.
M., Phillips, C., Bush, S., and Ehleringer, J. R.: Radiocarbon-Based
Partitioning of Soil Respiration in an Old-Growth Coniferous Forest,
Ecosystems, 18, 459–470, <ext-link xlink:href="https://doi.org/10.1007/s10021-014-9839-4" ext-link-type="DOI">10.1007/s10021-014-9839-4</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib79"><label>79</label><?label 1?><mixed-citation>Wang, X., Liu, L. L., Piao, S. L., Janssens, I. A., Tang, J. W., Liu, W. X.,
Chi, Y. G., Wang, J., and Xu, S.: Soil respiration under climate warming:
differential response of heterotrophic and autotrophic respiration, Glob.
Change Biol., 20, 3229–3237, <ext-link xlink:href="https://doi.org/10.1111/gcb.12620" ext-link-type="DOI">10.1111/gcb.12620</ext-link>, 2014b.</mixed-citation></ref>
      <ref id="bib1.bib80"><label>80</label><?label 1?><mixed-citation>Xu, M. and Qi, Y.: Soil-surface <inline-formula><mml:math id="M696" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> efflux and its spatial and temporal
variations in a young ponderosa pine plantation in northern California,
Glob. Change Biol., 7, 667–677, <ext-link xlink:href="https://doi.org/10.1046/j.1354-1013.2001.00435.x" ext-link-type="DOI">10.1046/j.1354-1013.2001.00435.x</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib81"><label>81</label><?label 1?><mixed-citation>Xu, Z. F., Tang, S. S., Xiong, L., Yang, W. Q., Yin, H. J., Tu, L. H., Wu,
F. Z., Chen, L. H., and Tan, B.: Temperature sensitivity of soil respiration
in China's forest ecosystems: Patterns and controls, Appl. Soil Ecol.,
93, 105–110, <ext-link xlink:href="https://doi.org/10.1016/j.apsoil.2015.04.008" ext-link-type="DOI">10.1016/j.apsoil.2015.04.008</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib82"><label>82</label><?label 1?><mixed-citation>Zhou, T., Shi, P. J., Hui, D. F., and Luo, Y. Q.: Global pattern of
temperature sensitivity of soil heterotrophic respiration (<inline-formula><mml:math id="M697" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and its
implications for carbon-climate feedback, J. Geophys.
Res.-Biogeo., 114, G02016, <ext-link xlink:href="https://doi.org/10.1029/2008jg000850" ext-link-type="DOI">10.1029/2008jg000850</ext-link>, 2009.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Partitioning of canopy and soil CO<sub>2</sub> fluxes in a pine forest at the dry timberline across a 13-year observation period</article-title-html>
<abstract-html><p>Partitioning carbon fluxes is key to understanding the process underlying
ecosystem response to change. This study used soil and canopy fluxes with
stable isotopes (<sup>13</sup>C) and radiocarbon (<sup>14</sup>C) measurements in an 18&thinsp;km<sup>2</sup>, 50-year-old, dry (287&thinsp;mm mean annual precipitation; nonirrigated)
<i>Pinus halepensis</i> forest plantation in Israel to partition the net ecosystem's CO<sub>2</sub> flux
into gross primary productivity (GPP) and ecosystem respiration (<i>R</i><sub>e</sub>) and
(with the aid of isotopic measurements) soil respiration flux (<i>R</i><sub>s</sub>) into
autotrophic (<i>R</i><sub>sa</sub>), heterotrophic (<i>R</i><sub>h</sub>), and inorganic (<i>R</i><sub>i</sub>) components. On an
annual scale, GPP and <i>R</i><sub>e</sub> were 655 and 488&thinsp;g&thinsp;C&thinsp;m<sup>−2</sup>, respectively, with a
net primary productivity (NPP) of 282&thinsp;g&thinsp;C&thinsp;m<sup>−2</sup> and carbon-use efficiency
(CUE&thinsp; = &thinsp;NPP&thinsp;∕&thinsp;GPP) of 0.43. <i>R</i><sub>s</sub> made up 60&thinsp;% of the <i>R</i><sub>e</sub> and comprised 24±4&thinsp;%<i>R</i><sub>sa</sub>, 23±4&thinsp;%<i>R</i><sub>h</sub>, and 13±1&thinsp;%<i>R</i><sub>i</sub>. The contribution of root and microbial respiration to <i>R</i><sub>e</sub>
increased during high productivity periods, and inorganic sources were more
significant components when the soil water content was low. Comparing the
ratio of the respiration components to <i>R</i><sub>e</sub> of our mean 2016 values to those
of 2003 (mean for 2001–2006) at the same site indicated a decrease in the
autotrophic components (roots, foliage, and wood) by about −13&thinsp;% and an
increase in the heterotrophic component (<i>R</i><sub>h</sub>∕<i>R</i><sub>e</sub>) by about +18&thinsp;%, with
similar trends for soil respiration (<i>R</i><sub>sa</sub>∕<i>R</i><sub>s</sub> decreasing by −19&thinsp;% and <i>R</i><sub>h</sub>∕<i>R</i><sub>s</sub>
increasing by +8&thinsp;%, respectively). The soil respiration sensitivity to
temperature (<i>Q</i><sub>10</sub>) decreased across the same observation period by 36&thinsp;% and 9&thinsp;% in the wet and dry periods, respectively. Low rates of soil
carbon loss combined with relatively high belowground carbon allocation
(i.e., 38&thinsp;% of canopy CO<sub>2</sub> uptake) and low sensitivity to temperature
help explain the high soil organic carbon accumulation and the relatively
high ecosystem CUE of the dry forest.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Adachi, M., Ito, A., Yonemura, S., and Takeuchi, W.: Estimation of global
soil respiration by accounting for land-use changes derived from remote
sensing data, J. Environ. Manage., 200, 97–104,
<a href="https://doi.org/10.1016/j.jenvman.2017.05.076" target="_blank">https://doi.org/10.1016/j.jenvman.2017.05.076</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Angert, A., Yakir, D., Rodeghiero, M., Preisler, Y., Davidson, E. A., and Weiner, T.: Using O<sub>2</sub> to study the relationships between soil CO<sub>2</sub> efflux and soil respiration, Biogeosciences, 12, 2089–2099, <a href="https://doi.org/10.5194/bg-12-2089-2015" target="_blank">https://doi.org/10.5194/bg-12-2089-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Aubinet, M., Grelle, A., Ibrom, A., Rannik, U., Moncrieff, J., Foken, T.,
Kowalski, A. S., Martin, P. H., Berbigier, P., Bernhofer, C., Clement, R.,
Elbers, J., Granier, A., Grunwald, T., Morgenstern, K., Pilegaard, K.,
Rebmann, C., Snijders, W., Valentini, R., and Vesala, T.: Estimates of the
annual net carbon and water exchange of forests: The EUROFLUX methodology,
Adv. Ecol. Res.,   30,   113–175, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Bahn, M., Janssens, I. A., Reichstein, M., Smith, P., and Trumbore, S. E.:
Soil respiration across scales: towards an integration of patterns and
processes, New Phytol., 186, 292–296, <a href="https://doi.org/10.1111/j.1469-8137.2010.03237.x" target="_blank">https://doi.org/10.1111/j.1469-8137.2010.03237.x</a>,
2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Balogh, J., Pinter, K., Foti, S., Cserhalmi, D., Papp, M., and Nagy, Z.:
Dependence of soil respiration on soil moisture, clay content, soil organic
matter, and CO<sub>2</sub> uptake in dry grasslands, Soil Biol. Biochem.,
43, 1006–1013, <a href="https://doi.org/10.1016/j.soilbio.2011.01.017" target="_blank">https://doi.org/10.1016/j.soilbio.2011.01.017</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Binkley, D., Stape, J. L., Takahashi, E. N., and Ryan, M. G.: Tree-girdling
to separate root and heterotrophic respiration in two Eucalyptus stands in
Brazil, Oecologia, 148, 447–454, <a href="https://doi.org/10.1007/s00442-006-0383-6" target="_blank">https://doi.org/10.1007/s00442-006-0383-6</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Bonan, G. B.: Ecological climatology: concepts and applications, 2nd Edn., Cambridge: Cambridge University Press, Cambridge, 28–37, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Bond-Lamberty, B. and Thomson, A.: Temperature-associated increases in the
global soil respiration record, Nature, 464, 579–582, <a href="https://doi.org/10.1038/nature08930" target="_blank">https://doi.org/10.1038/nature08930</a>,
2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Buchmann, N.: Biotic and abiotic factors controlling soil respiration rates
in Picea abies stands, Soil Biol. Biochem., 32, 1625–1635,
<a href="https://doi.org/10.1016/s0038-0717(00)00077-8" target="_blank">https://doi.org/10.1016/s0038-0717(00)00077-8</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Carbone, M. S., Winston, G. C., and Trumbore, S. E.: Soil respiration in
perennial grass and shrub ecosystems: Linking environmental controls with
plant and microbial sources on seasonal and diel timescales, J.
Geophys. Res.-Biogeo., 113, G02022, <a href="https://doi.org/10.1029/2007jg000611" target="_blank">https://doi.org/10.1029/2007jg000611</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Carmi, I., Yakir, D., Yechieli, Y., Kronfeld, J., and Stiller, M.:
Variations in soil CO<sub>2</sub> concentrations and isotopic values in a semi-arid
region due to biotic and abiotic processes in the unsaturated zone,
Radiocarbon, 55, 932–942, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Carvalhais, N., Forkel, M., Khomik, M., Bellarby, J., Jung, M., Migliavacca,
M., Mu, M. Q., Saatchi, S., Santoro, M., Thurner, M., Weber, U., Ahrens, B.,
Beer, C., Cescatti, A., Randerson, J. T., and Reichstein, M.: Global
covariation of carbon turnover times with climate in terrestrial ecosystems,
Nature, 514, 213–217, <a href="https://doi.org/10.1038/nature13731" target="_blank">https://doi.org/10.1038/nature13731</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Casals, P., Lopez-Sangil, L., Carrara, A., Gimeno, C., and Nogues, S.:
Autotrophic and heterotrophic contributions to short-term soil CO<sub>2</sub> efflux
following simulated summer precipitation pulses in a Mediterranean dehesa,
Global Biogeochem. Cy., 25, GB3012, <a href="https://doi.org/10.1029/2010gb003973" target="_blank">https://doi.org/10.1029/2010gb003973</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Chen, D., Zhang, Y., Lin, Y., Zhu, W., and Fu, S.: Changes in belowground
carbon in Acacia crassicarpa and Eucalyptus urophylla plantations after tree
girdling, Plant   Soil, 326, 123–135, <a href="https://doi.org/10.1007/s11104-009-9986-0" target="_blank">https://doi.org/10.1007/s11104-009-9986-0</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Chen, S. T., Zou, J. W., Hu, Z. H., Chen, H. S., and Lu, Y. Y.: Global
annual soil respiration in relation to climate, soil properties and
vegetation characteristics: Summary of available data, Agr.
Forest Meteorol., 198, 335–346, <a href="https://doi.org/10.1016/j.agrformet.2014.08.020" target="_blank">https://doi.org/10.1016/j.agrformet.2014.08.020</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Conant, R. T., Klopatek, J. M., Malin, R. C., and Klopatek, C. C.: Carbon
pools and fluxes along an environmental gradient in northern Arizona,
Biogeochemistry, 43, 43–61, <a href="https://doi.org/10.1023/a:1006004110637" target="_blank">https://doi.org/10.1023/a:1006004110637</a>, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Correia, A. C., Minunno, F., Caldeira, M. C., Banza, J., Mateus, J.,
Carneiro, M., Wingate, L., Shvaleva, A., Ramos, A., Jongen, M., Bugalho, M.
N., Nogueira, C., Lecomte, X., and Pereira, J. S.: Soil water availability
strongly modulates soil CO<sub>2</sub> efflux in different Mediterranean ecosystems:
Model calibration using the Bayesian approach, Agr. Ecosyst.
Environ., 161, 88–100, <a href="https://doi.org/10.1016/j.agee.2012.07.025" target="_blank">https://doi.org/10.1016/j.agee.2012.07.025</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Davidson, E. A. and Janssens, I. A.: Temperature sensitivity of soil carbon
decomposition and feedbacks to climate change, Nature, 440, 165–173,
<a href="https://doi.org/10.1038/nature04514" target="_blank">https://doi.org/10.1038/nature04514</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
DeLucia, E. H., Drake, J. E., Thomas, R. B., and Gonzalez-Meler, M.: Forest
carbon use efficiency: is respiration a constant fraction of gross primary
production?, Glob. Change Biol., 13, 1157–1167,
<a href="https://doi.org/10.1111/j.1365-2486.2007.01365.x" target="_blank">https://doi.org/10.1111/j.1365-2486.2007.01365.x</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Deng, Q., Hui, D., Zhang, D., Zhou, G., Liu, J., Liu, S., Chu, G., and Li,
J.: Effects of Precipitation Increase on Soil Respiration: A Three-Year
Field Experiment in Subtropical Forests in China, Plos One, 7, e41493,
<a href="https://doi.org/10.1371/journal.pone.0041493" target="_blank">https://doi.org/10.1371/journal.pone.0041493</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Etzold, S., Ruehr, N. K., Zweifel, R., Dobbertin, M., Zingg, A., Pluess, P.,
Hasler, R., Eugster, W., and Buchmann, N.: The Carbon Balance of Two
Contrasting Mountain Forest Ecosystems in Switzerland: Similar Annual
Trends, but Seasonal Differences, Ecosystems, 14, 1289–1309,
<a href="https://doi.org/10.1007/s10021-011-9481-3" target="_blank">https://doi.org/10.1007/s10021-011-9481-3</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Etzold, S., Zweifel, R., Ruehr, N. K., Eugster, W., and Buchmann, N.:
Long-term stem CO<sub>2</sub> concentration measurements in Norway spruce in relation
to biotic and abiotic factors, New Phytol., 197, 1173–1184,
<a href="https://doi.org/10.1111/nph.12115" target="_blank">https://doi.org/10.1111/nph.12115</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Falge, E., Baldocchi, D., Tenhunen, J., Aubinet, M., Bakwin, P., Berbigier,
P., Bernhofer, C., Burba, G., Clement, R., Davis, K. J., Elbers, J. A.,
Goldstein, A. H., Grelle, A., Granier, A., Guomundsson, J., Hollinger, D.,
Kowalski, A. S., Katul, G., Law, B. E., Malhi, Y., Meyers, T., Monson, R.
K., Munger, J. W., Oechel, W., Paw, K. T., Pilegaard, K., Rannik, U.,
Rebmann, C., Suyker, A., Valentini, R., Wilson, K., and Wofsy, S.:
Seasonality of ecosystem respiration and gross primary production as derived
from FLUXNET measurements, Agr. Forest Meteorol., 113, 53–74,
<a href="https://doi.org/10.1016/s0168-1923(02)00102-8" target="_blank">https://doi.org/10.1016/s0168-1923(02)00102-8</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Flechard, C. R., Ibrom, A., Skiba, U. M., de Vries, W., van Oijen, M.,
Cameron, D. R., Dise, N. B., Korhonen, J. F. J., Buchmann, N., Legout, A.,
Simpson, D., Sanz, M. J., Aubinet, M., Loustau, D., Montagnani, L.,
Neirynck, J., Janssens, I. A., Pihlatie, M., Kiese, R., Siemens, J.,
Francez, A.-J., Augustin, J., Varlagin, A., Olejnik, J., Juszczak, R.,
Aurela, M., Chojnicki, B. H., Dämmgen, U., Djuricic, V., Drewer, J.,
Eugster, W., Fauvel, Y., Fowler, D., Frumau, A., Granier, A., Gross, P.,
Hamon, Y., Helfter, C., Hensen, A., Horváth, L., Kitzler, B., Kruijt,
B., Kutsch, W. L., Lobo-do-Vale, R., Lohila, A., Longdoz, B., Marek, M. V.,
Matteucci, G., Mitosinkova, M., Moreaux, V., Neftel, A., Ourcival, J.-M.,
Pilegaard, K., Pita, G., Sanz, F., Schjoerring, J. K., Sebastià, M.-T.,
Tang, Y. S., Uggerud, H., Urbaniak, M., van Dijk, N., Vesala, T., Vidic, S.,
Vincke, C., Weidinger, T., Zechmeister-Boltenstern, S., Butterbach-Bahl, K.,
Nemitz, E., and Sutton, M. A.: Carbon&thinsp;∕&thinsp;nitrogen interactions in European forests and semi-natural vegetation. Part I: Fluxes and budgets of carbon, nitrogen and greenhouse gases from ecosystem monitoring and modelling, Biogeosciences Discuss., <a href="https://doi.org/10.5194/bg-2019-333" target="_blank">https://doi.org/10.5194/bg-2019-333</a>, in review, 2019a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Flechard, C. R., van Oijen, M., Cameron, D. R., de Vries, W., Ibrom, A.,
Buchmann, N., Dise, N. B., Janssens, I. A., Neirynck, J., Montagnani, L.,
Varlagin, A., Loustau, D., Legout, A., Ziemblińska, K., Aubinet, M.,
Aurela, M., Chojnicki, B. H., Drewer, J., Eugster, W., Francez, A.-J.,
Juszczak, R., Kitzler, B., Kutsch, W. L., Lohila, A., Longdoz, B.,
Matteucci, G., Moreaux, V., Neftel, A., Olejnik, J., Sanz, M. J., Siemens,
J., Vesala, T., Vincke, C., Nemitz, E., Zechmeister-Boltenstern, S.,
Butterbach-Bahl, K., Skiba, U. M., and Sutton, M. A.: Carbon&thinsp;∕&thinsp;nitrogen
interactions in European forests and semi-natural vegetation. Part II:
Untangling climatic, edaphic, management and nitrogen deposition effects on
carbon sequestration potentials, Biogeosciences Discuss.,
<a href="https://doi.org/10.5194/bg-2019-335" target="_blank">https://doi.org/10.5194/bg-2019-335</a>, in review, 2019b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Frank, A. B., Liebig, M. A., and Hanson, J. D.: Soil carbon dioxide fluxes
in northern semiarid grasslands, Soil Biol. Biochem., 34,
1235–1241, <a href="https://doi.org/10.1016/s0038-0717(02)00062-7" target="_blank">https://doi.org/10.1016/s0038-0717(02)00062-7</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
Frey, B., Hagedorn, F., and Giudici, F.: Effect of girdling on soil
respiration and root composition in a sweet chestnut forest, Forest Ecol.
Manage., 225, 271–277, <a href="https://doi.org/10.1016/j.foreco.2006.01.003" target="_blank">https://doi.org/10.1016/j.foreco.2006.01.003</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Gelfand, I., Grünzweig, J. M., and Yakir, D.: Slowing of nitrogen
cycling and increasing nitrogen use efficiency following afforestation of
semi-arid shrubland, Oecologia, 168, 563–575, <a href="https://doi.org/10.1007/s00442-011-2111-0" target="_blank">https://doi.org/10.1007/s00442-011-2111-0</a>,
2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Giardina, C. P. and Ryan, M. G.: Total belowground carbon allocation in a
fast-growing Eucalyptus plantation estimated using a carbon balance
approach, Ecosystems, 5, 487–499, <a href="https://doi.org/10.1007/s10021-002-0130-8" target="_blank">https://doi.org/10.1007/s10021-002-0130-8</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Graven, H. D., Guilderson, T. P., and Keeling, R. F.: Observations of
radiocarbon in CO<sub>2</sub> at La Jolla, California, USA 1992–2007: Analysis of the
long-term trend, J. Geophys. Res.-Atmos., 117, D02302,
<a href="https://doi.org/10.1029/2011jd016533" target="_blank">https://doi.org/10.1029/2011jd016533</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Grünzweig, J. M., Gelfand, I., Fried, Y., and Yakir, D.: Biogeochemical factors contributing to enhanced carbon storage following afforestation of a semi-arid shrubland, Biogeosciences, 4, 891–904, <a href="https://doi.org/10.5194/bg-4-891-2007" target="_blank">https://doi.org/10.5194/bg-4-891-2007</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Grünzweig, J. M., Hemming, D., Maseyk, K., Lin, T., Rotenberg, E.,
Raz-Yaseef, N., Falloon, P. D., and Yakir, D.: Water limitation to soil CO<sub>2</sub>
efflux in a pine forest at the semiarid “timberline”, J. Geophys.
Res.-Biogeo., 114, G03008, <a href="https://doi.org/10.1029/2008jg000874" target="_blank">https://doi.org/10.1029/2008jg000874</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Grünzweig, J. M., Lin, T., Rotenberg, E., Schwartz, A., and Yakir, D.:
Carbon sequestration in arid-land forest, Glob. Change Biol., 9, 791–799,
<a href="https://doi.org/10.1046/j.1365-2486.2003.00612.x" target="_blank">https://doi.org/10.1046/j.1365-2486.2003.00612.x</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Hagedorn, F., Joseph, J., Peter, M., Luster, J., Pritsch, K., Geppert, U.,
Kerner, R., Molinier, V., Egli, S., Schaub, M., Liu, J. F., Li, M. H.,
Sever, K., Weiler, M., Siegwolf, R. T. W., Gessler, A., and Arend, M.:
Recovery of trees from drought depends on belowground sink control, Nat.
Plants, 2, 1–5, <a href="https://doi.org/10.1038/nplants.2016.111" target="_blank">https://doi.org/10.1038/nplants.2016.111</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Hashimoto, S., Carvalhais, N., Ito, A., Migliavacca, M., Nishina, K., and
Reichstein, M.: Global spatiotemporal distribution of soil respiration
modeled using a global database, Biogeosciences, 12, 4121–4132, <a href="https://doi.org/10.5194/bg-12-4121-2015" target="_blank">https://doi.org/10.5194/bg-12-4121-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Hemming, D., Yakir, D., Ambus, P., Aurela, M., Besson, C., Black, K.,
Buchmann, N., Burlett, R., Cescatti, A., Clement, R., Gross, P., Granier,
A., Grunwald, T., Havrankova, K., Janous, D., Janssens, I. A., Knohl, A.,
Ostner, B. K., Kowalski, A., Laurila, T., Mata, C., Marcolla, B., Matteucci,
G., Moncrieff, J., Moors, E. J., Osborne, B., Pereira, J. S., Pihlatie, M.,
Pilegaard, K., Ponti, F., Rosova, Z., Rossi, F., Scartazza, A., and Vesala,
T.: Pan-European delta C-13 values of air and organic matter from forest
ecosystems, Glob. Change Biol., 11, 1065–1093,
<a href="https://doi.org/10.1111/j.1365-2486.2005.00971.x" target="_blank">https://doi.org/10.1111/j.1365-2486.2005.00971.x</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Hogberg, P., Bhupinderpal, S., Lofvenius, M. O., and Nordgren, A.:
Partitioning of soil respiration into its autotrophic and heterotrophic
components by means of tree-girdling in old boreal spruce forest, Forest
Ecol. Manag., 257, 1764–1767, <a href="https://doi.org/10.1016/j.foreco.2009.01.036" target="_blank">https://doi.org/10.1016/j.foreco.2009.01.036</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Hui, D. F. and Luo, Y. Q.: Evaluation of soil CO<sub>2</sub> production and transport
in Duke Forest using a process-based modeling approach, Global
Biogeochem. Cy., 18, GB4029, <a href="https://doi.org/10.1029/2004gb002297" target="_blank">https://doi.org/10.1029/2004gb002297</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
IPCC: Climate Change 2014: Mitigation of Climate Change, Contribution of
Working Group III to the Fifth Assessment Report of the Intergovernmental
Panel on Climate Change, edited by:  Edenhofer, O., PichsMadruga, R., Sokona, Y., Minx, J. C., Farahani, E., Kadner, S., Seyboth, K., Adler, A., Baum, I., Brunner, S., Eickemeier, P., Kriemann, B., Savolainen, J., Schlomer, S., VonStechow, C., and Zwickel, T., Cambridge University
Press, Cambridge and New York, 843–846, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Jiang, H., Deng, Q., Zhou, G., Hui, D., Zhang, D., Liu, S., Chu, G., and Li,
J.: Responses of soil respiration and its temperature/moisture sensitivity
to precipitation in three subtropical forests in southern China,
Biogeosciences, 10, 3963–3982, <a href="https://doi.org/10.5194/bg-10-3963-2013" target="_blank">https://doi.org/10.5194/bg-10-3963-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Joseph, J., Kulls, C., Arend, M., Schaub, M., Hagedorn, F., Gessler, A., and
Weiler, M.: Application of a laser-based spectrometer for continuous in situ
measurements of stable isotopes of soil CO<sub>2</sub> in calcareous and acidic soils,
Soil, 5, 49–62, <a href="https://doi.org/10.5194/soil-5-49-2019" target="_blank">https://doi.org/10.5194/soil-5-49-2019</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Kowalski, A. S., Serrano-Ortiz, P., Janssens, I. A., Sanchez-Moral, S.,
Cuezva, S., Domingo, F., Were, A., and Alados-Arboledas, L.: Can flux tower
research neglect geochemical CO<sub>2</sub> exchange?, Agr. Forest
Meteorol., 148, 1045–1054, <a href="https://doi.org/10.1016/j.agrformet.2008.02.004" target="_blank">https://doi.org/10.1016/j.agrformet.2008.02.004</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Kuzyakov, Y.: Sources of CO<sub>2</sub> efflux from soil and review of partitioning
methods, Soil Biol. Biochem., 38, 425–448,
<a href="https://doi.org/10.1016/j.soilbio.2005.08.020" target="_blank">https://doi.org/10.1016/j.soilbio.2005.08.020</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Lelieveld, J., Hadjinicolaou, P., Kostopoulou, E., Chenoweth, J., El Maayar,
M., Giannakopoulos, C., Hannides, C., Lange, M. A., Tanarhte, M., Tyrlis,
E., and Xoplaki, E.: Climate change and impacts in the Eastern Mediterranean
and the Middle East, Climatic Change, 114, 667–687,
<a href="https://doi.org/10.1007/s10584-012-0418-4" target="_blank">https://doi.org/10.1007/s10584-012-0418-4</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
Lellei-Kovacs, E., Kovacs-Lang, E., Botta-Dukat, Z., Kalapos, T., Emmett,
B., and Beier, C.: Thresholds and interactive effects of soil moisture on
the temperature response of soil respiration, Eur. J. Soil
Biol., 47, 247–255, <a href="https://doi.org/10.1016/j.ejsobi.2011.05.004" target="_blank">https://doi.org/10.1016/j.ejsobi.2011.05.004</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Levin, I., Naegler, T., Kromer, B., Diehl, M., Francey, R. J., Gomez-Pelaez,
A. J., Steele, L. P., Wagenbach, D., Weller, R., and Worthy, D. E.:
Observations and modelling of the global distribution and long-term trend of
atmospheric (CO<sub>2</sub>)-C-14, Tellus  B, 62, 207–207, <a href="https://doi.org/10.1111/j.1600-0889.2010.00456.x" target="_blank">https://doi.org/10.1111/j.1600-0889.2010.00456.x</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>47</label><mixed-citation>
Lin, G. H., Ehleringer, J. R., Rygiewicz, P. T., Johnson, M. G., and Tingey,
D. T.: Elevated CO<sub>2</sub> and temperature impacts on different components of soil
CO<sub>2</sub> efflux in Douglas-fir terracosms, Glob. Change Biol., 5, 157–168,
<a href="https://doi.org/10.1046/j.1365-2486.1999.00211.x" target="_blank">https://doi.org/10.1046/j.1365-2486.1999.00211.x</a>, 1999.
</mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>48</label><mixed-citation>
Litton, C. M., Raich, J. W., and Ryan, M. G.: Carbon allocation in forest
ecosystems, Glob. Change Biol., 13, 2089–2109,
<a href="https://doi.org/10.1111/j.1365-2486.2007.01420.x" target="_blank">https://doi.org/10.1111/j.1365-2486.2007.01420.x</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>49</label><mixed-citation>
Lopez-Ballesteros, A., Serrano-Ortiz, P., Kowalski, A. S., Sanchez-Canete,
E. P., Scott, R. L., and Domingo, F.: Subterranean ventilation of
allochthonous CO<sub>2</sub> governs net CO<sub>2</sub> exchange in a semiarid Mediterranean
grassland, Agr. Forest Meteorol., 234, 115–126,
<a href="https://doi.org/10.1016/j.agrformet.2016.12.021" target="_blank">https://doi.org/10.1016/j.agrformet.2016.12.021</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>50</label><mixed-citation>
Luyssaert, S., Inglima, I., Jung, M., Richardson, A. D., Reichstein, M.,
Papale, D., Piao, S. L., Schulzes, E. D., Wingate, L., Matteucci, G.,
Aragao, L., Aubinet, M., Beers, C., Bernhofer, C., Black, K. G., Bonal, D.,
Bonnefond, J. M., Chambers, J., Ciais, P., Cook, B., Davis, K. J., Dolman,
A. J., Gielen, B., Goulden, M., Grace, J., Granier, A., Grelle, A., Griffis,
T., Grunwald, T., Guidolotti, G., Hanson, P. J., Harding, R., Hollinger, D.
Y., Hutyra, L. R., Kolar, P., Kruijt, B., Kutsch, W., Lagergren, F.,
Laurila, T., Law, B. E., Le Maire, G., Lindroth, A., Loustau, D., Malhi, Y.,
Mateus, J., Migliavacca, M., Misson, L., Montagnani, L., Moncrieff, J.,
Moors, E., Munger, J. W., Nikinmaa, E., Ollinger, S. V., Pita, G., Rebmann,
C., Roupsard, O., Saigusa, N., Sanz, M. J., Seufert, G., Sierra, C., Smith,
M. L., Tang, J., Valentini, R., Vesala, T., and Janssens, I. A.: CO<sub>2</sub> balance
of boreal, temperate, and tropical forests derived from a global database,
Glob. Change Biol., 13, 2509–2537, <a href="https://doi.org/10.1111/j.1365-2486.2007.01439.x" target="_blank">https://doi.org/10.1111/j.1365-2486.2007.01439.x</a>,
2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>51</label><mixed-citation>
Marti-Roura, M., Hagedorn, F., Rovira, P., and Romanya, J.: Effect of land use and carbonates on organic matter stabilization and microbial communities in Mediterranean soils, Geoderma, 351, 103–115, <a href="https://doi.org/10.1016/j.geoderma.2019.05.021" target="_blank">https://doi.org/10.1016/j.geoderma.2019.05.021</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>52</label><mixed-citation>
Maseyk, K., Grünzweig, J. M., Rotenberg, E., and Yakir, D.: Respiration
acclimation contributes to high carbon-use efficiency in a seasonally dry
pine forest, Glob. Change Biol., 14, 1553–1567,
<a href="https://doi.org/10.1111/j.1365-2486.2008.01604.x" target="_blank">https://doi.org/10.1111/j.1365-2486.2008.01604.x</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>53</label><mixed-citation>
Matteucci, M., Gruening, C., Ballarin, I. G., Seufert, G., and Cescatti, A.:
Components, drivers and temporal dynamics of ecosystem respiration in a
Mediterranean pine forest, Soil Biol. Biochem., 88, 224–235,
<a href="https://doi.org/10.1016/j.soilbio.2015.05.017" target="_blank">https://doi.org/10.1016/j.soilbio.2015.05.017</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>54</label><mixed-citation>
Misson, L., Rocheteau, A., Rambal, S., Ourcival, J. M., Limousin, J. M., and
Rodriguez, R.: Functional changes in the control of carbon fluxes after 3
years of increased drought in a Mediterranean evergreen forest?, Glob.
Change Biol., 16, 2461–2475, <a href="https://doi.org/10.1111/j.1365-2486.2009.02121.x" target="_blank">https://doi.org/10.1111/j.1365-2486.2009.02121.x</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>55</label><mixed-citation>
Pataki, D. E., Ehleringer, J. R., Flanagan, L. B., Yakir, D., Bowling, D.
R., Still, C. J., Buchmann, N., Kaplan, J. O., and Berry, J. A.: The
application and interpretation of Keeling plots in terrestrial carbon cycle
research, Global Biogeochem. Cy., 17, 1022, <a href="https://doi.org/10.1029/2001gb001850" target="_blank">https://doi.org/10.1029/2001gb001850</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>56</label><mixed-citation>
Peterjohn, W. T., Melillo, J. M., Steudler, P. A., Newkirk, K. M., Bowles,
F. P., and Aber, J. D.: Responses of trace gas fluxes and n availability to
experimentally elevated soil temperatures, Ecol. Appl., 4,
617–625, <a href="https://doi.org/10.2307/1941962" target="_blank">https://doi.org/10.2307/1941962</a>, 1994.
</mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>57</label><mixed-citation>
Poulter, B., Frank, D., Ciais, P., Myneni, R. B., Andela, N., Bi, J.,
Broquet, G., Canadell, J. G., Chevallier, F., Liu, Y. Y., Running, S. W.,
Sitch, S., and van der Werf, G. R.: Contribution of semi-arid ecosystems to
interannual variability of the global carbon cycle, Nature, 509, 600–603,
<a href="https://doi.org/10.1038/nature13376" target="_blank">https://doi.org/10.1038/nature13376</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>58</label><mixed-citation>
Preisler, Y., Tatarinov, F., Grunzweig, J. M., Bert, D., Ogee, J., Wingate,
L., Rotenberg, E., Rohatyn, S., Her, N., Moshe, I., Klein, T., and Yakir,
D.: Mortality versus survival in drought-affected Aleppo pine forest depends
on the extent of rock cover and soil stoniness, Funct. Ecol., 33,
901–912, <a href="https://doi.org/10.1111/1365-2435.13302" target="_blank">https://doi.org/10.1111/1365-2435.13302</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>59</label><mixed-citation>
Qubaja, R., Grünzweig, J., Rotenberg, E., and Yakir, D.: Evidence for
large carbon sink and long residence time in semiarid forests based on 15
year flux and inventory records, Glob. Change Biol., 2019, 1–12, <a href="https://doi.org/10.1111/gcb.14927" target="_blank">https://doi.org/10.1111/gcb.14927</a>,
2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>60</label><mixed-citation>
Qubaja, R., Amer, M., Tatrinov, F., Rotenberg, E., Preisler, Y., Sprintsin,
M., and Yakir, D.: Partitioning evapotranspiration and its long-term
evolution in a dry pine forest using measurement-based estimates of soil
evaporation, Agr. Forest Meteorol., 281, 107831,
<a href="https://doi.org/10.1016/j.agrformet.2019.107831" target="_blank">https://doi.org/10.1016/j.agrformet.2019.107831</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>61</label><mixed-citation>
Raich, J. W. and Schlesinger, W. H.: The global carbon-dioxide flux in soil
respiration and its relationship to vegetation and climate, Tellus
B, 44, 81–99,
<a href="https://doi.org/10.1034/j.1600-0889.1992.t01-1-00001.x" target="_blank">https://doi.org/10.1034/j.1600-0889.1992.t01-1-00001.x</a>, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>62</label><mixed-citation>
Ramnarine, R., Wagner-Riddle, C., Dunfield, K. E., and Voroney, R. P.:
Contributions of carbonates to soil CO<sub>2</sub> emissions, Can. J. Soil
Sci., 92, 599–607, <a href="https://doi.org/10.4141/cjss2011-025" target="_blank">https://doi.org/10.4141/cjss2011-025</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>63</label><mixed-citation>
Raz-Yaseef, N., Rotenberg, E., and Yakir, D.: Effects of spatial variations
in soil evaporation caused by tree shading on water flux partitioning in a
semi-arid pine forest, Agr. Forest Meteorol., 150, 454–462,
<a href="https://doi.org/10.1016/j.agrformet.2010.01.010" target="_blank">https://doi.org/10.1016/j.agrformet.2010.01.010</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>64</label><mixed-citation>
Reichstein, M., Rey, A., Freibauer, A., Tenhunen, J., Valentini, R., Banza,
J., Casals, P., Cheng, Y. F., Grünzweig, J. M., Irvine, J., Joffre, R.,
Law, B. E., Loustau, D., Miglietta, F., Oechel, W., Ourcival, J. M.,
Pereira, J. S., Peressotti, A., Ponti, F., Qi, Y., Rambal, S., Rayment, M.,
Romanya, J., Rossi, F., Tedeschi, V., Tirone, G., Xu, M., and Yakir, D.:
Modeling temporal and large-scale spatial variability of soil respiration
from soil water availability, temperature and vegetation productivity
indices, Global Biogeochem. Cy., 17, 1104, <a href="https://doi.org/10.1029/2003gb002035" target="_blank">https://doi.org/10.1029/2003gb002035</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>65</label><mixed-citation>
Rey, A., Pegoraro, E., Tedeschi, V., De Parri, I., Jarvis, P. G., and
Valentini, R.: Annual variation in soil respiration and its components in a
coppice oak forest in Central Italy, Glob. Change Biol., 8, 851–866,
<a href="https://doi.org/10.1046/j.1365-2486.2002.00521.x" target="_blank">https://doi.org/10.1046/j.1365-2486.2002.00521.x</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>66</label><mixed-citation>
Rodeghiero, M. and Cescatti, A.: Main determinants of forest soil
respiration along an elevation/temperature gradient in the Italian Alps,
Glob. Change Biol., 11, 1024–1041, <a href="https://doi.org/10.1111/j.1365-2486.2005.00963.x" target="_blank">https://doi.org/10.1111/j.1365-2486.2005.00963.x</a>,
2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>67</label><mixed-citation>
Roland, M.: Contributions of carbonate weathering to the net ecosystem
carbon balance of a mediterranean forest, Ph.D. thesis, Antwerpen
University, Antwerpen, Belgium, 117–142, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>68</label><mixed-citation>
Ross, I., Misson, L., Rambal, S., Arneth, A., Scott, R. L., Carrara, A.,
Cescatti, A., and Genesio, L.: How do variations in the temporal
distribution of rainfall events affect ecosystem fluxes in seasonally
water-limited Northern Hemisphere shrublands and forests?, Biogeosciences,
9, 1007–1024, <a href="https://doi.org/10.5194/bg-9-1007-2012" target="_blank">https://doi.org/10.5194/bg-9-1007-2012</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>69</label><mixed-citation>
Rotenberg, E. and Yakir, D.: Contribution of Semi-Arid Forests to the
Climate System, Science, 327, 451–454, <a href="https://doi.org/10.1126/science.1179998" target="_blank">https://doi.org/10.1126/science.1179998</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>70</label><mixed-citation>
Schiller, G.: Ecophysiology of Pinus halepensis Mill. and P. brutia Ten, in:
Ecology, Biogeography and Management of Pinus halepensis and P. brutia
Forest Ecosystems in the Mediterranean Basin, edited by: Ne'eman, G.
and
Trabaud, L., Backhuys, Leiden, The Netherlands, 51–65, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>71</label><mixed-citation>
Serrano-Ortiz, P., Roland, M., Sanchez-Moral, S., Janssens, I. A., Domingo,
F., Godderis, Y., and Kowalski, A. S.: Hidden, abiotic CO<sub>2</sub> flows and gaseous
reservoirs in the terrestrial carbon cycle: Review and perspectives,
Agr. Forest Meteorol., 150, 321–329,
<a href="https://doi.org/10.1016/j.agrformet.2010.01.002" target="_blank">https://doi.org/10.1016/j.agrformet.2010.01.002</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>72</label><mixed-citation>
Shachnovich, Y., Berliner, P. R., and Bar, P.: Rainfall interception and
spatial distribution of throughfall in a pine forest planted in an arid
zone, J. Hydrol., 349, 168–177, <a href="https://doi.org/10.1016/j.jhydrol.2007.10.051" target="_blank">https://doi.org/10.1016/j.jhydrol.2007.10.051</a>,
2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>73</label><mixed-citation>
Shen, W. J., Jenerette, G. D., Hui, D. F., Phillips, R. P., and Ren, H.:
Effects of changing precipitation regimes on dryland soil respiration and C
pool dynamics at rainfall event, seasonal and interannual scales, J.
Geophys. Res.-Biogeo., 113, G03024, <a href="https://doi.org/10.1029/2008jg000685" target="_blank">https://doi.org/10.1029/2008jg000685</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>74</label><mixed-citation>
Subke, J.-A., Voke, N. R., Leronni, V., Garnett, M. H., and Ineson, P.:
Dynamics and pathways of autotrophic and heterotrophic soil CO<sub>2</sub> efflux
revealed by forest girdling, J. Ecol., 99, 186–193,
<a href="https://doi.org/10.1111/j.1365-2745.2010.01740.x" target="_blank">https://doi.org/10.1111/j.1365-2745.2010.01740.x</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>75</label><mixed-citation>
Taneva, L. and Gonzalez-Meler, M. A.: Distinct patterns in the diurnal and seasonal variability in four components of soil respiration in a temperate forest under free-air CO<sub>2</sub> enrichment, Biogeosciences, 8, 3077–3092, <a href="https://doi.org/10.5194/bg-8-3077-2011" target="_blank">https://doi.org/10.5194/bg-8-3077-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>76</label><mixed-citation>
Tang, J. W., Baldocchi, D. D., and Xu, L.: Tree photosynthesis modulates
soil respiration on a diurnal time scale, Glob. Change Biol., 11,
1298–1304, <a href="https://doi.org/10.1111/j.1365-2486.2005.00987.x" target="_blank">https://doi.org/10.1111/j.1365-2486.2005.00987.x</a>, 2005.

</mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>77</label><mixed-citation>
Tatarinov, F., Rotenberg, E., Maseyk, K., Ogee, J., Klein, T., and Yakir,
D.: Resilience to seasonal heat wave episodes in a Mediterranean pine
forest, New Phytol., 210, 485–496, <a href="https://doi.org/10.1111/nph.13791" target="_blank">https://doi.org/10.1111/nph.13791</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>78</label><mixed-citation>
Taylor, A. J., Lai, C. T., Hopkins, F. M., Wharton, S., Bible, K., Xu, X.
M., Phillips, C., Bush, S., and Ehleringer, J. R.: Radiocarbon-Based
Partitioning of Soil Respiration in an Old-Growth Coniferous Forest,
Ecosystems, 18, 459–470, <a href="https://doi.org/10.1007/s10021-014-9839-4" target="_blank">https://doi.org/10.1007/s10021-014-9839-4</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>79</label><mixed-citation>
Wang, X., Liu, L. L., Piao, S. L., Janssens, I. A., Tang, J. W., Liu, W. X.,
Chi, Y. G., Wang, J., and Xu, S.: Soil respiration under climate warming:
differential response of heterotrophic and autotrophic respiration, Glob.
Change Biol., 20, 3229–3237, <a href="https://doi.org/10.1111/gcb.12620" target="_blank">https://doi.org/10.1111/gcb.12620</a>, 2014b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>80</label><mixed-citation>
Xu, M. and Qi, Y.: Soil-surface CO<sub>2</sub> efflux and its spatial and temporal
variations in a young ponderosa pine plantation in northern California,
Glob. Change Biol., 7, 667–677, <a href="https://doi.org/10.1046/j.1354-1013.2001.00435.x" target="_blank">https://doi.org/10.1046/j.1354-1013.2001.00435.x</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>81</label><mixed-citation>
Xu, Z. F., Tang, S. S., Xiong, L., Yang, W. Q., Yin, H. J., Tu, L. H., Wu,
F. Z., Chen, L. H., and Tan, B.: Temperature sensitivity of soil respiration
in China's forest ecosystems: Patterns and controls, Appl. Soil Ecol.,
93, 105–110, <a href="https://doi.org/10.1016/j.apsoil.2015.04.008" target="_blank">https://doi.org/10.1016/j.apsoil.2015.04.008</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>82</label><mixed-citation>
Zhou, T., Shi, P. J., Hui, D. F., and Luo, Y. Q.: Global pattern of
temperature sensitivity of soil heterotrophic respiration (<i>Q</i><sub>10</sub>) and its
implications for carbon-climate feedback, J. Geophys.
Res.-Biogeo., 114, G02016, <a href="https://doi.org/10.1029/2008jg000850" target="_blank">https://doi.org/10.1029/2008jg000850</a>, 2009.
</mixed-citation></ref-html>--></article>
