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  <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-16-1543-2019</article-id><title-group><article-title>Partitioning net ecosystem exchange of <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> on the pedon scale in
the Lena River Delta, Siberia</article-title><alt-title>Partitioning net ecosystem exchange of <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></alt-title>
      </title-group><?xmltex \runningtitle{Partitioning net ecosystem exchange of {$\chem{CO_{2}}$}}?><?xmltex \runningauthor{T. Eckhardt et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Eckhardt</surname><given-names>Tim</given-names></name>
          <email>tim.eckhardt@uni-hamburg.de</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Knoblauch</surname><given-names>Christian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7147-1008</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Kutzbach</surname><given-names>Lars</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2631-2742</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Holl</surname><given-names>David</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9269-7030</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Simpson</surname><given-names>Gillian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Abakumov</surname><given-names>Evgeny</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5248-9018</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Pfeiffer</surname><given-names>Eva-Maria</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Soil Science, Universität Hamburg, Allende-Platz
2, 20146 Hamburg, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Center for Earth System Research and
Sustainability, Universität Hamburg, Allende-Platz 2, 20146 Hamburg,
Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of GeoSciences, University of Edinburgh, West Mains
Road, Edinburgh, EH9 3JN, Scotland, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Applied
Ecology, Saint-Petersburg State University, 199178, 16-line 2, Vasilyevskiy
Island, Russia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Tim Eckhardt (tim.eckhardt@uni-hamburg.de)</corresp></author-notes><pub-date><day>11</day><month>April</month><year>2019</year></pub-date>
      
      <volume>16</volume>
      <issue>7</issue>
      <fpage>1543</fpage><lpage>1562</lpage>
      <history>
        <date date-type="received"><day>29</day><month>June</month><year>2018</year></date>
           <date date-type="rev-request"><day>30</day><month>August</month><year>2018</year></date>
           <date date-type="rev-recd"><day>5</day><month>March</month><year>2019</year></date>
           <date date-type="accepted"><day>22</day><month>March</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2019 Tim Eckhardt et al.</copyright-statement>
        <copyright-year>2019</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/16/1543/2019/bg-16-1543-2019.html">This article is available from https://bg.copernicus.org/articles/16/1543/2019/bg-16-1543-2019.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/16/1543/2019/bg-16-1543-2019.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/16/1543/2019/bg-16-1543-2019.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e176">Arctic tundra ecosystems are currently facing amplified rates of climate
warming. Since these ecosystems store significant amounts of soil organic
carbon, which can be mineralized to carbon dioxide (<inline-formula><mml:math id="M3" 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 methane
(<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), rising temperatures may cause increasing greenhouse gas fluxes
to the atmosphere. To understand how net the ecosystem exchange (NEE) of
<inline-formula><mml:math id="M5" 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> will respond to changing climatic and environmental conditions,
it is necessary to understand the individual responses of the processes
contributing to NEE. Therefore, this study aimed to partition NEE at the
soil–plant–atmosphere interface in an arctic tundra ecosystem and to
identify the main environmental drivers of these fluxes. NEE was partitioned
into gross primary productivity (GPP) and ecosystem respiration
(<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and further into autotrophic (<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and
heterotrophic respiration (<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). The study examined <inline-formula><mml:math id="M9" 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
data collected during the growing season in 2015 using closed-chamber
measurements in a polygonal tundra landscape in the Lena River Delta,
northeastern Siberia. To capture the influence of soil hydrology on
<inline-formula><mml:math id="M10" 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, measurements were conducted at a water-saturated polygon
center and a well-drained polygon rim. These chamber-measured fluxes were
used to model NEE, GPP, <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and net
primary production (NPP) at the pedon scale (1–10 m) and to determine
cumulative growing season fluxes. Here, the response of in situ measured
<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes from permafrost-affected soils of the
polygonal tundra to hydrological conditions have been examined. Although
changes in the water table depth at the polygon center sites did not affect
<inline-formula><mml:math id="M16" 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 from <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, rising water tables were linked to
reduced <inline-formula><mml:math id="M18" 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 from <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. Furthermore, this work found
the polygonal tundra in the Lena River Delta to be a net sink for atmospheric
<inline-formula><mml:math id="M20" 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> during the growing season. The NEE at the wet, depressed polygon
center was more than twice that at the drier polygon rim. These differences
between the two sites were caused by higher GPP fluxes due to a higher
vascular plant density and lower <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes due to oxygen
limitation under water-saturated conditions at the polygon center in
comparison to the rim. Hence, soil hydrological conditions were one of the
key drivers for the different <inline-formula><mml:math id="M22" 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 across this highly
heterogeneous tundra landscape.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e411">An estimated 1000 Pg (petagrams) of organic carbon (OC) are stored in the upper
3 m of northern permafrost-affected soils (Hugelius et al., 2014). Given the
large amount of OC stored in these soils, the response of the arctic carbon
cycle to a changing climate is of global importance (McGuire et al., 2009).
Over thousands of years, carbon has been sequestered in permafrost-affected
soils and sediments due to cold conditions and poor drainage, resulting in
water saturation and slow organic matter decomposition. Currently, arctic
ecosystems are facing amplified warming (AMAP, 2017; Taylor et al., 2013),
which will lead to the longer and deeper thawing of permafrost-affected soils
(Romanovsky et al., 2010). On the one hand, the microbial decomposition of
newly<?pagebreak page1544?> available thawed permafrost organic matter releases carbon dioxide
(<inline-formula><mml:math id="M23" 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 methane (<inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (e.g., Knoblauch et al., 2018, 2013;
Zimov et al., 2006a; Schuur et al., 2009; Grosse et al., 2011). On the other
hand, higher temperatures increase the assimilation of <inline-formula><mml:math id="M25" 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> by tundra
vegetation due to a prolonged growing period and increased nutrient
availability in the deeper layers of thawed soils (e.g., Beermann et al.,
2017; Elmendorf et al., 2012; Salmon et al., 2016; Parmentier et al., 2011).</p>
      <p id="d1e447">With an area of 3 million km<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, more than half of the northern
high-latitude tundra ecosystems are situated in Russia (Walker et al., 2005).
To date, just a few studies on <inline-formula><mml:math id="M27" 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 from the vast Russian
arctic tundra ecosystems are available (e.g., Parmentier et al., 2011;
Marushchak et al., 2013; Rößger et al., 2019; Kittler et al., 2016),
especially on the pedon scale (Kwon et al., 2016; Corradi et al., 2005;
Heikkinen et al., 2004; Zamolodchikov et al., 2000). Since tundra soils are
highly heterogeneous on the pedon scale in terms of temperature and moisture
(Aalto et al., 2013), measurements on this scale are required to determine
the response of individual <inline-formula><mml:math id="M28" 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 to these parameters. To cover
this heterogeneity on the pedon scale, chamber measurements are more
appropriate than the eddy covariance (EC) method, which covers the next
larger scale, even though a downscaling EC approach for <inline-formula><mml:math id="M29" 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 of
an arctic ecosystem was recently presented (Rößger et al., 2019). An
improved understanding of <inline-formula><mml:math id="M30" 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> dynamics in permafrost-affected soils
is needed to improve estimates of future <inline-formula><mml:math id="M31" 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> balances of the
highly heterogeneous arctic tundra
regions. Without developments in our understanding of the response of
<inline-formula><mml:math id="M32" 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> dynamics in permafrost-affected ecosystems to changing climatic
conditions such as temperature and moisture, estimates of the carbon balance
of the circum-arctic tundra and its future response to changing climatic
conditions remain biased.</p>
      <p id="d1e526">The net ecosystem exchange (NEE) of <inline-formula><mml:math id="M33" 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> between the land surface and
the atmosphere is composed of the <inline-formula><mml:math id="M34" 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 by plants, termed gross
primary productivity (GPP), and the release of <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> from soils and
plants, which is ecosystem respiration (<inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) (Chapin et al., 2006). The
latter can be further split into autotrophic respiration by plants
(<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and heterotrophic respiration (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) consisting of
microbial soil organic matter (SOM) decomposition. In this study the
atmospheric sign convention is used, whereby a positive NEE defines a net
release of <inline-formula><mml:math id="M39" 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> from the soil to the atmosphere and a negative sign
defines a net uptake of <inline-formula><mml:math id="M40" 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> from the atmosphere.</p>
      <p id="d1e618">In order to partition NEE into its underlying fluxes, measurements of GPP,
<inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are required. These individual
process-based fluxes governing the <inline-formula><mml:math id="M44" 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 respond differently to
changing climatic conditions such as temperature and moisture. For instance,
it was shown that temperature changes in arctic soils could cause a
significant increase in the <inline-formula><mml:math id="M45" 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 via GPP (Shaver et al., 1998;
Oberbauer et al., 2007; Natali et al., 2012; Mauritz et al., 2017), which can
be, beside other factors, attributed to shifts in vegetation composition (Elmendorf
et al., 2012; Hudson et al., 2011) and increased nutrient availability
(Johnson et al., 2000; Salmon et al., 2016; Beermann et al., 2015).
Furthermore, the effect of drainage on GPP remains uncertain; some studies
found drainage of arctic soils to reduce GPP (Merbold et al., 2009; Chivers
et al., 2009; Kwon et al., 2016), while other studies found drainage to lead
to a slight increase in GPP (Olivas et al., 2010; Kittler et al., 2016). The
effect of increasing soil moisture on GPP differs between ecosystems (Mauritz
et al., 2017; Olivas et al., 2010; Chivers et al., 2009). As respiratory processes are
temperature sensitive (Mahecha et al., 2010), the release of <inline-formula><mml:math id="M46" 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> by
<inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> increases in response to soil warming across arctic ecosystems
(e.g., Hicks Pries et al., 2015; Oberbauer et al., 2007; Natali et al., 2015).
An increase in <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was also observed as a result of drainage of
arctic soils and vice versa: a decrease with increasing water saturation
(Elberling et al., 2013; Mauritz et al., 2017; Chivers et al., 2009; e.g.,
Kwon et al., 2016; Olivas et al., 2010) was observed due to the presence or absence of
oxygen in drained soils (Hobbie et al., 2002). However, it was also shown
that <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes could increase with increasing water saturation
due to higher soil temperatures in water-saturated soils (Zona et al., 2012),
which highlights the interconnection of moisture and temperature in soils. In
general, higher soil temperatures lead to a higher increase in <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
than GPP, which causes a reduction of the net <inline-formula><mml:math id="M51" 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
(Parmentier et al., 2011; Oberbauer et al., 2007; Voigt et al., 2017; Mauritz
et al., 2017). Also, drainage of arctic soils causes a reduction of NEE (means
less negative values) due to a higher increase in <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> than GPP
(Merbold et al., 2009; Chivers et al., 2009; Kittler et al., 2016; Olivas et
al., 2010), while the effect of increasing water saturation of soils on NEE
differs between arctic ecosystems (Chivers et al., 2009; Mauritz et al.,
2017). Both soil temperature and moisture are predicted to change in
the future due to increased temperatures and precipitation in the pan-Arctic
(Christensen et al., 2013). As <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and GPP respond differently to
temperature and moisture changes it is essential not only to focus on changes
to NEE, but also to gain a quantitative understanding of its components and their
individual responses to environmental and climatic changes to improve model
simulations of future <inline-formula><mml:math id="M54" 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. Therefore, partitioning approaches
for in situ measured <inline-formula><mml:math id="M55" 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 are required.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e791">The study site on Samoylov Island, Lena River Delta,
northeastern Siberia (72<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>22<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N, 126<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>28<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E). Satellite
images: <bold>(a)</bold> NASA, 2002; <bold>(b)</bold> Boike et al., 2012;
<bold>(c)</bold> Boike et al., 2015.</p></caption>
        <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://bg.copernicus.org/articles/16/1543/2019/bg-16-1543-2019-f01.png"/>

      </fig>

      <p id="d1e846">The release of <inline-formula><mml:math id="M60" 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> from soils by <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the largest efflux
of carbon from terrestrial ecosystems to the atmosphere (Mahecha et al.,
2010). Autotrophic respiration can be separated into aboveground plant
respiration and belowground plant respiration (i.e., respiration of roots).
Heterotrophic respiration is associated with the decomposition of SOM by
heterotrophic soil organisms. To date, only a few estimates of <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
fluxes from arctic tundra ecosystems over the growing season have been
published (Nobrega and Grogan, 2008; Biasi et al., 2014; Segal and Sullivan,
2014), with data lacking for ecosystems such as the polygonal tundra. Warming
of the arctic soils will influence <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes both directly<?pagebreak page1545?> and
indirectly: rising soil temperatures will increase SOM decomposition, but
will also cause permafrost thaw, exposing previously frozen SOM to microbial
decomposition (Schuur et al., 2011; Dorrepaal et al., 2009). This
decomposition could substantially reduce carbon storage in arctic tundra
ecosystems, as gross ecosystem productivity has been found to be less
temperature sensitive than <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> in these ecosystems (Grogan and
Chapin, 2000; Dorrepaal et al., 2009). Warming could also reduce soil
moisture (Suseela et al., 2012) and increase <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> due to increasing
aboveground biomass (Natali et al., 2012), which could lead to a lower
contribution of <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Hicks Pries et al., 2015;
Chen et al., 2016). Furthermore, changes in soil moisture are known to affect
microbial activity in soils directly with decreasing activity during times of
high and low soil moisture and an optimum at moderate soil moisture
conditions (Moyano et al., 2013). The increase in <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes due to warming might be compensated for by higher net
primary production (Hicks Pries et al., 2013), but whether this compensation
is valid for the entire growing season and across highly
heterogeneous arctic ecosystems on the pedon scale remains uncertain. Furthermore, it remains
uncertain how <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes will respond to changing hydrological
regimes as the impact of this parameter on <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes has never
been analyzed in tundra regions.</p>
      <p id="d1e983">As changes in soil temperature and moisture can significantly alter the
individual fluxes contributing to NEE, this study aims to improve the current
understanding of <inline-formula><mml:math id="M72" 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 dynamics in permafrost-affected ecosystems
by (i) partitioning NEE into individual flux components (photosynthesis,
ecosystem respiration, and autotrophic and heterotrophic respiration) at the
pedon scale of the polygonal tundra and (ii) gaining insights into the
response of these individual fluxes to different environmental parameters.
Therefore, closed-chamber measurements were conducted at two sites in the
polygonal tundra in northeastern Siberia over an almost complete growing
season. Finally, a <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> budget for a nearly complete vegetation period
is determined for the two sites using data-calibrated flux models. These
models were based on the time-sensitive bulk flux partitioning model by
Runkle et al. (2013), which has been used in different arctic ecosystems
(Helbig et al., 2017; Zona et al., 2014).</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Study site</title>
      <p id="d1e1016">The investigation area is located on Samoylov Island in the southern central
Lena River Delta, northeastern Siberia (72<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>22<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N,
126<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>28<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E; Fig. 1). The Lena River forms the largest delta in
the Arctic, which can be geomorphologically divided into river terraces of
different ages and floodplain levels (Schwamborn et al., 2002). The delta is
located in the continuous permafrost zone with permafrost extending to depths
of 300 to 500 m (Yershov, 1998) and relatively low mean annual soil
temperatures of <inline-formula><mml:math id="M78" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.8 <inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C at 1.7 m of depth compared to other arctic
tundra sites (Boike et al., 2013). The study site has an arctic continental
climate characterized by low temperatures and low precipitation. The mean
annual air temperature between 1998 and 2011 was <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, and
mean annual precipitation between 1981 and 2011 was 321 mm (Pogoda i Klimat,
2016), while summer rainfall is 125 mm, ranging from 52 to 199 mm (Boike et
al., 2013). Polar day lasts from 7 May until 8 August, and polar night lasts
from 15 November to 28 January. Snowmelt usually starts in the first half of
June, and the growing season usually spans from around mid-June until
mid-September.</p>
      <p id="d1e1091">The study site is covered by ice-wedge polygonal tundra on a Late Holocene
river terrace with elevations from 10 to 16 m above sea level on the eastern
part of Samoylov Island. The development of polygonal structures has created
depressed polygon centers surrounded by elevated polygon rims with elevation
differences of about 0.5 m. Underlying permafrost prevents drainage in
polygon centers, resulting in water-saturated soils, anoxic soil conditions at
shallow depths, and significant amounts of soil organic carbon of around
33 kg m<inline-formula><mml:math id="M82" 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> in the uppermost meter (Zubrzycki et al.,<?pagebreak page1546?> 2013). In
contrast, due to oxic conditions in the topsoil, the elevated polygon rim
soils have accumulated less soil organic carbon of around 19 kg m<inline-formula><mml:math id="M83" 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>
(Zubrzycki et al., 2013). A land cover classification based on Landsat
satellite imagery revealed that if excluding large thermokarst lakes the
polygonal tundra on Samoylov Island consists of 65 % dry tundra,
19 % wet tundra, and 16 % small water bodies including small
ponds overgrown by vascular plants (Muster et al., 2012).</p>
      <p id="d1e1118">In this study, two different sites were investigated: (i) a wet–depressed
polygon center (wet tundra) and (ii) its surrounding elevated polygon rim
(dry tundra, 72<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>22<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>26 N 126<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>29<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>49 E). These sites were
located within the footprint area of an eddy covariance (EC) system in which
NEE of <inline-formula><mml:math id="M88" 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 measured (Holl et al., 2019; Kutzbach et al., 2007b;
Wille et al., 2008; Runkle et al., 2013). The maximum active layer depth
(ALD) at the study site was deeper at the polygon center (40 cm) than at the
polygon rim (30 cm). The soils at the polygon centers were classified as
Histic or Reductaquic Cryosols (IUSS Working Group WRB, 2014) with a
water table close to the soil surface. Polygon rim soils were characterized
by cryoturbation and therefore classified as Turbic Glacic Cryosols (IUSS
Working Group WRB, 2014) with a water table just a few centimeters above the
permafrost table. Total organic carbon (TOC) contents above 10 % were
found in the surface horizon above the cryoturbated horizons of the polygon
rim, while high TOC contents were found at the polygon center throughout the
active layer (Zubrzycki et al., 2013). Vegetation on polygon rims is
dominated by mosses (<italic>Hylocomium splendens</italic>, <italic>Polytrichum</italic>
spp., <italic>Rhytidium rugosum</italic>), some small vascular plants (<italic>Dryas punctata</italic> and <italic>Astragalus frigidus</italic>), and lichens (<italic>Peltigera</italic>
spp.) and can be classified as non-tussock sedge, dwarf-shrub, moss tundra
(Walker et al., 2005). The vegetation of the polygon centers was dominated by
the hydrophilic sedge <italic>Carex aquatilis</italic>, which have in general much
higher growth forms than at the rim, and mosses (<italic>Drepanocladus revolvens</italic>, <italic>Meesia triqueta</italic>, <italic>Scorpidium scorpioides</italic>) and
was classified as sedge, moss, dwarf-shrub wetland (Walker et al., 2005).</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methods</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Meteorological data</title>
      <p id="d1e1215">Meteorological variables were recorded at 30 min intervals at the nearby EC
system and adjacent meteorological station 40 m southwest of the study site.
Data collected were air temperature (MP103A; ROTRONIC AG, Switzerland), air
pressure (RPT410F; Druck Messtechnik GmbH, Germany), and photosynthetically
active radiation (PAR; wavelength: 400–700 nm; QS2, Delta-T Devices Ltd.,
UK), as well as the incoming and reflected components of shortwave and
longwave radiation, respectively (CNR 1; Kipp&amp;Zonen, the Netherlands). The
radiative surface temperature (<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>surf</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>; in Kelvin, K) was calculated
as
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M90" display="block"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>surf</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>L</mml:mi><mml:msub><mml:mo>↑</mml:mo><mml:mtext>B</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="italic">ε</mml:mi><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mi>L</mml:mi><mml:msub><mml:mo>↑</mml:mo><mml:mtext>B</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the upward infrared radiation (W m<inline-formula><mml:math id="M92" 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>),
<inline-formula><mml:math id="M93" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> is the Stefan–Boltzmann constant (W 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> K<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and the
dimensionless emissivity <inline-formula><mml:math id="M96" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> was assumed to be 0.98 after Wilber
et al. (1999). Furthermore, soil temperature (<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) was measured
at 2 cm of soil depth in intervals of 30 min at an adjacent polygon rim and
center.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Soil sampling and vegetation indices</title>
      <p id="d1e1351">Undisturbed soil samples were taken from the active layer at the polygon rim
using steel rings (diameter 6 cm). At the water-saturated polygon center, an
undisturbed soil monolith was taken from the active layer using a spade and
subsequently subsampled into four soil layers based on the degradation status
of the organic matter. Coarse roots were removed, and soil samples were
homogenized for analysis of soil water content (mass difference between wet
and dried (105 <inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) soil samples) and pH (CG820; Schott AG, Mainz,
Germany). Total carbon and nitrogen (N) contents (VarioMAX cube; Elementar
Analysesysteme GmbH, Hanau, Germany), as well as total organic carbon
and total inorganic carbon contents (TIC; liquiTOC II, Elementar
Analysesysteme GmbH, Hanau, Germany), were determined from dried
(105 <inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for more than 24 h) and milled soil samples. To analyze
vegetation indices, gridded quadrats of 10 cm <inline-formula><mml:math id="M100" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10 cm were placed
over the collars, and a visual identification of the plant species present as
well as their abundance (% surface cover) was conducted in four grid
squares.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Net ecosystem exchange and ecosystem respiration</title>
      <p id="d1e1387">A total of eight PVC frames (50 cm <inline-formula><mml:math id="M101" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 50 cm), four at each site,
were installed in July 2014 in preparation for NEE and <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> flux
measurements with closed chambers the following year. The frames were
equipped with a U-shaped frame filled with water to avoid gas exchange
between the chamber headspace and ambient air. The chamber
(50 cm <inline-formula><mml:math id="M103" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 50 cm <inline-formula><mml:math id="M104" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 50 cm) used for NEE and <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
flux measurements was made of clear acrylic glass (Plexiglas SunActive GS;
Evonik Industries AG, Germany). The chamber was equipped with a fan for
continuous mixing of headspace air (axial fan, 12V/DC; Conrad Electronic SE,
Germany). Furthermore, a PAR sensor (SKP212; Skye Instruments Ltd., UK) and a
temperature probe (107 Thermistor probe; Campbell Scientific Ltd., USA) were
installed inside the chamber. Including the volume inside the chamber frames,
the chamber enclosed a volume of 124–143 L. For <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
measurements, the chamber was covered with an opaque material. Boardwalks
were installed at both sites to avoid disturbance. The volumetric soil water
content (VWC) was<?pagebreak page1547?> measured with a GS3 sensor (Decagon Devices, Inc., USA)
during each measurement directly beside the chamber frame at a depth of 5 cm.
A diver (Schlumberger Ltd., USA) was installed at the polygon center to
measure water table (WT) depth every 15 min. To prevent pressure-induced gas
release during chamber closure (Christiansen et al., 2011), two holes (3 cm
in diameter) at the top of the chamber were left open while placing the
chamber on the frames and then closed for measurements. Soil temperatures
between the surface and the frozen ground in 5 cm intervals and thaw depth
were measured daily at both sites. For each chamber flux measurement,
<inline-formula><mml:math id="M107" 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 in the chamber headspace were continuously
measured with a gas analyzer (UGGA 30-p; Los Gatos Research, USA). The
chamber headspace air was pumped in a closed loop via transparent
polyurethane tubes (inner diameter 4 mm, each 10 m length) through the
analyzer with a flow rate of 200 mL min<inline-formula><mml:math id="M108" 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>. The <inline-formula><mml:math id="M109" 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 was logged (CR800 series; Campbell Scientific Ltd., USA)
together with PAR as well as soil and air temperature at a frequency of
1 Hz. Each chamber closure period was restricted to 120 s to minimize
warming inside the chamber relative to the ambient temperature.</p>
      <p id="d1e1479">Chamber measurements were conducted from 11 July until 22 September 2015, at
least every third day between 06:00 and 21:00 (local time), apart from the
period 2–9 and 17–24 August. Two consecutive measurements were performed at
each frame: first, NEE (<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">679</mml:mn></mml:mrow></mml:math></inline-formula>) was measured with the transparent chamber,
followed by an <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> measurement (<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">679</mml:mn></mml:mrow></mml:math></inline-formula>) with the dark chamber
shortly after. The four frames of one site were measured consecutively before
moving to the other site. GPP fluxes were calculated from the sum of the
measured <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and NEE fluxes.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Heterotrophic respiration</title>
      <p id="d1e1536">For <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> measurements the root-trenching method was applied at both
sites. It is challenging to separate belowground respiration fluxes into
autotrophic and heterotrophic components because roots and microorganisms are
closely linked within the rhizosphere (Hanson et al., 2000). There are a wide
range of methods for partitioning <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Subke et al., 2006;
Kuzyakov, 2006), each with its associated advantages and disadvantages. Root
trenching, for example, despite some disturbance on the plant–soil interface,
can give accurate estimates of the rates of <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
(Diaz-Pines et al., 2010) and produces similar results as a non-disturbing
<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C partitioning approach in an arctic tundra ecosystem (Biasi et al.,
2014) and a partitioning approach based on <inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C (Chemidlin
Prévost-Bouré et al., 2009). In this study, by inserting PVC frames
below the main rooting zone at 20 cm deep into the soil, lateral roots were
cut off. All living plant biomass including living moss tissue inside the
frames was removed carefully in 2014. To prevent regrowth, the living plant
biomass was removed periodically over the measurement period. This removal
causes the die-off of roots, and in a period of days after the disturbance
<inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> equals NEE. A total of eight frames, four at each site, were
prepared for <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> measurements. <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes (<inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">662</mml:mn></mml:mrow></mml:math></inline-formula>) were
measured during the same periods and with the same closure period as NEE and
<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> measurements on unaltered plots.</p>
      <p id="d1e1658">To test if <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes are biased due to the additional decomposition
of residual roots, four additional PVC frames (two per site) were installed
in 2015 following the sampling and preparation protocol of 2014. A total of
302 <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> flux measurements were made on these newly installed plots.
The difference between the mean <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes of each single plot
trenched in 2014 and those trenched in 2015 were analyzed using a Student's
<inline-formula><mml:math id="M128" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test.</p>
      <p id="d1e1701"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes at the unaltered sites were calculated by subtracting the
mean <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes measured at the trenched sites from the mean of the
<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes at the unaltered sites of the same day. The calculated
<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes were summed with the calculated GPP fluxes to estimate the
net primary productivity (NPP) fluxes.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Flux calculation</title>
      <p id="d1e1756"><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> fluxes (<inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g <inline-formula><mml:math id="M135" 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="M136" 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="M137" 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 using MATLAB<sup>®</sup> R2015a (The
MathWorks Inc., Natick, MA, 2000) with a routine that uses different
regression models to describe the change in the chamber headspace <inline-formula><mml:math id="M138" 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 over time and conducts statistical analysis to aid model
selection (Eckhardt and Kutzbach, 2016; Kutzbach et al., 2007a).</p>
      <?pagebreak page1548?><p id="d1e1827">Due to possible perturbations while placing the chamber on the frame, the
first 30 s of each 2 min measurement period were discarded and the
remaining 90 data points were used for flux calculations. The precision of
the gas analyzer with 1 s signal filtering is <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> ppm for <inline-formula><mml:math id="M140" 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>
according to the manufacturer. The root mean square error (RMSE) did not
exceed this value under the typical performance of chamber measurements and the
fitting of the linear and nonlinear regression models. Higher RMSE values
indicated failed model fitting or disturbed chamber measurements. Therefore,
if RMSE exceeded 0.3 ppm, the concentration-over-time curve was
reinspected. Variation of PAR during chamber measurements due to shifts in
cloud cover leads to irregular <inline-formula><mml:math id="M141" 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 time series and
perturbation of the calculated <inline-formula><mml:math id="M142" 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 (Schneider et al., 2012).
These perturbed concentration time series show distinct autocorrelation of
the residuals of the regression models and were filtered out by using a
threshold for residual autocorrelation indicated by the Durbin–Watson test
(Durbin and Watson, 1950). The flux curve was reinspected if the RMSE
exceeded 0.3 ppm or showed a distinct autocorrelation to see if
irregularities could be removed by adjusting the size of the flux calculation
window. If irregularities could be removed by adjusting the size of the flux
calculation window, the flux curve was recalculated; if not, the
measurement was discarded. Overall, about 3 % (<inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">47</mml:mn></mml:mrow></mml:math></inline-formula>) of the <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>
flux measurements (NEE, <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> measurements) were
discarded from the dataset because they did not meet the abovementioned
quality criteria.</p>
      <p id="d1e1919">Studies have shown that <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> fluxes calculated with linear regression
models can be seriously biased (Kutzbach et al., 2007a), while nonlinear
regression models significantly improve flux calculations (Pihlatie et al.,
2013). However, we found that the temporal evolution of <inline-formula><mml:math id="M148" 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 in the chamber was best modeled with a linear regression
model, as determined by the Akaike information criterion corrected
for small samples sizes (AIC<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mtext>c</mml:mtext></mml:msub></mml:math></inline-formula>) (Burnham and Anderson, 2004). This
is in good agreement with other studies, which have shown that in some cases
a linear regression model can produce a better <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> flux estimate for
a nonlinear concentration-over-time curve than a nonlinear regression model
(Koskinen et al., 2014; Görres et al., 2014).</p>
</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><?xmltex \opttitle{Modeling {$\protect\chem{CO_{2}}$} fluxes at the pedon scale}?><title>Modeling <inline-formula><mml:math id="M151" 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 at the pedon scale</title>
      <p id="d1e1984">Different numerical models were fitted to the measured <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes and to the calculated GPP fluxes to quantify seasonal
GPP, <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes. To calibrate the models, these
were fitted to the GPP, <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes. The
resulting fitting parameters were used to reproduce the fluxes over the
complete measurement period. Model calibration was done by applying a 15 d
moving window over the measurement period moving in 1 d intervals. If
fewer than eight chamber measurements were performed during these 15 d, the
moving window was extended to 19 d. Subsequently, the modeled fluxes for
each measurement plot were averaged for each site. <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> fluxes from
each of the four measurement plots were used separately for model calibration
and the summed fluxes were used to analyze differences between both sites
using a Student's <inline-formula><mml:math id="M159" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test.</p>
      <p id="d1e2072">The empirical <inline-formula><mml:math id="M160" 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> model (van't Hoff, 1898) was fitted to the measured
<inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes:
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M163" display="block"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco,H</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>base</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:msubsup><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a,surf,soil</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow><mml:mi mathvariant="italic">γ</mml:mi></mml:mfrac></mml:mstyle></mml:msubsup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where the (variable) fit parameter <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>base</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the basal respiration
at the reference temperature <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (15 <inline-formula><mml:math id="M166" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). The reference
temperature and <inline-formula><mml:math id="M167" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> (10 <inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) were held constant according to
Mahecha et al. (2010). <inline-formula><mml:math id="M169" 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 a fit parameter describing the ecosystem
sensitivity of respiration to a 10 <inline-formula><mml:math id="M170" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C change in temperature. For
this study a fixed <inline-formula><mml:math id="M171" 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 of 1.52 was used, which represents the
seasonal mean value of the bulk partitioning model for the <inline-formula><mml:math id="M172" 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 EC footprint area (Runkle et al., 2013). Air temperature
(<inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>a</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), surface temperature (<inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>surf</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), and soil temperature
(<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) measured at a depth of 2 cm were tested as input
variables.</p>
      <p id="d1e2276">The model calibration was done with MATLAB<sup>®</sup>
R2015a (The MathWorks Inc., Natick, MA, 2000). The model parameters were
estimated by nonlinear least-squares regression fitting (nlinfit function),
and the uncertainty of the parameters was determined by calculating the
95 % confidence intervals using the nlparci function. The selection of
the best-performing temperature as an input variable for the <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> model was based on comparing the <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mtext>adj</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> of the model
runs with different temperatures as an input variable. The selected input
variable was chosen for all measurement plots of the same site.</p>
      <p id="d1e2318">To estimate GPP, the measured <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes were subtracted from the
measured NEE for each measurement plot. The rectangular hyperbola function
was fitted to the calculated GPP fluxes as a function of PAR (in
<inline-formula><mml:math id="M180" 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="M181" 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="M182" 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>):
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M183" display="block"><mml:mrow><mml:mtext>GPP</mml:mtext><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>×</mml:mo><mml:mtext>PAR</mml:mtext></mml:mrow><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mo>×</mml:mo><mml:mtext>PAR</mml:mtext></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where the (variable) fit parameter <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was the maximum canopy
photosynthetic potential (hypothetical GPP at infinite PAR). The values for
the initial canopy quantum efficiency <inline-formula><mml:math id="M185" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> (in
<inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M187" 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="M188" 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="M189" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M190" 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="M191" 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="M192" 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>; initial
slope of the GPP model at PAR <inline-formula><mml:math id="M193" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0) were obtained from modeling the
<inline-formula><mml:math id="M194" 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 with EC data (Holl et al., 2018). From the determined
values when <inline-formula><mml:math id="M195" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> was held variable, a function was formulated that
accounts for the seasonality of <inline-formula><mml:math id="M196" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> with specific values for each day
of the growing season using the following function:
            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M197" display="block"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mi>b</mml:mi><mml:mo>×</mml:mo><mml:msup><mml:mi>exp⁡</mml:mi><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mo>-</mml:mo><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mrow><mml:mtext>abs</mml:mtext><mml:mfenced open="(" close=")"><mml:mrow><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>x</mml:mi><mml:mo>-</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:mfenced><mml:mi>d</mml:mi></mml:msup></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mi>b</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.042</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mi>c</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">209.5</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mi>e</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">25.51</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.008</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M203" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> is the day of the year
2015. Afterwards, these values (variable on daily basis) were used for both
sites to reproduce GPP fluxes from chamber measurements over the complete
measurement period.</p>
      <p id="d1e2656">Although the transmissivity of the chamber material was high, with <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> %
for wavelengths between 380 and 780 nm (Evonik, 2015), it caused a reduction
in the amount of incoming radiation reaching the surface, which could be further reduced
based on the sun elevation. During the complete measurement period, the PAR
values measured inside the chamber were on average 20 % lower than the
PAR values measured outside the chamber (data not shown). Therefore, GPP
modeling was conducted in two steps. First, the GPP model was calibrated
using PAR values measured inside the chamber; secondly, the reproduction
of GPP fluxes over the growing season was carried out using PAR values
measured outside the chamber. Without this two-step calibration the GPP
fluxes would have been underestimated.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e2671">Meteorological conditions from mid-July to end of September.
<bold>(a)</bold> Half-hourly air temperature measured at 2 m of height at the eddy
covariance tower and surface temperature; <bold>(b)</bold> soil temperatures
measured at 2 cm of depth at the polygon rim and center; <bold>(c)</bold> water table
relative to the soil surface measured at the polygon center and volumetric
water content measured at the polygon rim; <bold>(d)</bold> daily measured thaw
depth at the polygon rim and center; <bold>(e)</bold> daily precipitation
measured at the eddy covariance station; <bold>(f)</bold> photosynthetically
active radiation (PAR) measured half-hourly at the eddy covariance tower.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://bg.copernicus.org/articles/16/1543/2019/bg-16-1543-2019-f02.png"/>

        </fig>

      <p id="d1e2699">The NEEs for both sites were calculated as the sum of the modeled GPP and
<inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes. The <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes were calculated as the difference of
the modeled <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes. Furthermore, NPP was calculated
from the sum of <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and GPP fluxes.</p>
      <p id="d1e2757">As both sites are within the footprint of an EC station, which determines
<inline-formula><mml:math id="M210" 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 on a larger spatial scale (100 to 1000 m), the resulting
NEE from the modeling approach was compared with NEE of the same period
obtained from EC measurements reported by Holl et al. (2019). For this
upscaling, the resulting NEEs from the chamber model were weighted
(NEE<inline-formula><mml:math id="M211" display="inline"><mml:msub><mml:mi/><mml:mtext>chamber</mml:mtext></mml:msub></mml:math></inline-formula>) based on the half-hourly<?pagebreak page1549?> relative contributions of
the surface classes defined by Muster et al. (2012) to the EC footprint using
the following equation:
            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M212" display="block"><mml:mrow><mml:msub><mml:mtext>NEE</mml:mtext><mml:mtext>chamber</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mtext>NEE</mml:mtext><mml:mtext>C</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mtext>Cover</mml:mtext><mml:mtext>wet</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mtext>NEE</mml:mtext><mml:mtext>R</mml:mtext></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mtext>Cover</mml:mtext><mml:mtext>dry</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where NEE<inline-formula><mml:math id="M213" display="inline"><mml:msub><mml:mi/><mml:mtext>C</mml:mtext></mml:msub></mml:math></inline-formula> and NEE<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mtext>R</mml:mtext></mml:msub></mml:math></inline-formula> are the modeled half-hourly
chamber NEE for the polygon center and rim, respectively, and Cover<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mtext>wet</mml:mtext></mml:msub></mml:math></inline-formula>
and Cover<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mtext>dry</mml:mtext></mml:msub></mml:math></inline-formula> are the relative contribution of the surface classes
polygon center and rim, respectively, to the EC footprint as given in Holl et
al. (2019).</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Meteorological data, environmental conditions, and soil
characteristics</title>
      <p id="d1e2874">The mean daily air temperature over the study period ranged from 23 to
<inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M218" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 2a). The average air temperature in August 2015
(9 <inline-formula><mml:math id="M219" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) was similar to the long-term mean air temperature for the
period 1998–2011 (Boike et al., 2013). Compared to the long-term mean, it
was about 1 <inline-formula><mml:math id="M220" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C colder during July (9 <inline-formula><mml:math id="M221" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), whereas September
was around 2 <inline-formula><mml:math id="M222" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warmer than the reference period (3 <inline-formula><mml:math id="M223" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C).
The total precipitation from mid-July to the end of September 2015 was
78 mm,
which is below the mean precipitation of <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mn mathvariant="normal">96</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>±</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">48</mml:mn></mml:mrow></mml:math></inline-formula> mm between 2003 and
2010 (Boike et al., 2013).</p>
      <p id="d1e2956">From mid-July to the end of September 2015, soil temperatures at 2 cm of depth
at the polygon rim showed a higher diurnal variability than at the center.
The highest soil temperatures were measured in mid-July and at the beginning
of August. At the end of September, the temperatures became slightly negative
(Fig. 2b). At the polygon rim, the thaw depth increased from the beginning of
the campaign in mid-July until mid-September to reach a maximum depth of 36 cm. Maximum thaw depth was reached at the polygon center much earlier in the
season (mid-July) and remained relatively constant until mid-September. The
water table depth at the polygon center was tightly coupled to rainfall. The
VWC at 5 cm of soil depth was on average 30 % at the polygon rim, with
highest values observed after rainfall events (Fig. 2c). The daily averaged
PAR values showed a strong seasonality with decreasing daily mean values
towards the end of the season, although there was a period at the end of July
with rather low daily averaged PAR values.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e2961">Chamber-measured NEE, <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, as well
as calculated GPP, NPP, and <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes. The error bars denote the
standard deviation of the four replicate measurements at each site.
<bold>(a)</bold> Fluxes of NEE (<inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 83), <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 85), and
<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 85) at the polygon center; <bold>(b)</bold> calculated
fluxes of GPP (<inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 83), NPP (<inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 83), and <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 85) at
the polygon center; <bold>(c)</bold> measured fluxes of NEE (<inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 83),
<inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 85), and <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 85) at the polygon rim;
<bold>(d)</bold> calculated fluxes of GPP (<inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 83), NPP (<inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 83), and
<inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula>  85) at the polygon rim.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/16/1543/2019/bg-16-1543-2019-f03.png"/>

        </fig>

      <?pagebreak page1550?><p id="d1e3206">The total soil organic carbon content was lower at the polygon rim
(2 %–12 %) than at the polygon center (10 %–20 %) and
showed a decrease with depth, which was more pronounced at the polygon rim.
The estimated SOC stocks within 30 cm of depth were about 11 kg m<inline-formula><mml:math id="M246" 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
about 21 kg m<inline-formula><mml:math id="M247" 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 polygon rim and center, respectively. The total
inorganic carbon content was 0.2 % at both sites in each soil depth.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><?xmltex \opttitle{Chamber {$\protect\chem{CO_{2}}$} fluxes}?><title>Chamber <inline-formula><mml:math id="M248" 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="d1e3253">In general, the <inline-formula><mml:math id="M249" 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 (NEE) at the polygon center was higher
(with more negative values) than at the rim (Fig. 3). In September both
sites acted as small net <inline-formula><mml:math id="M250" 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> sources. The standard error of the flux
calculation was around 3.5 and
2.3 <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g <inline-formula><mml:math id="M252" 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="M253" 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="M254" 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 the polygon center and
rim, respectively, and decreased slightly towards the end of the season. In
contrast to the NEE, the measured <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes were on average
higher at the rim compared to the center. The highest ecosystem respiration
fluxes of the rim and center were measured at beginning of August, when the air
temperature exceeded 20 <inline-formula><mml:math id="M256" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.</p>
      <p id="d1e3342">In general, the release of <inline-formula><mml:math id="M257" 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> by <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was higher at the
polygon rim than at the center and showed no seasonality (Fig. 3). An
increase in <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes after periodical re-clipping of the
vegetation was not observed. Comparing <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes from measurement
plots that were trenched in 2014 with those trenched in 2015 revealed no
significant differences (<inline-formula><mml:math id="M261" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test, <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) between the years of
root trenching (data not shown).</p>
      <p id="d1e3409">Due to a period with rather low daily averaged PAR at the end of July, the
uptake was partly lower as at the beginning of the measurement period at both
sites. After reaching peak net <inline-formula><mml:math id="M263" 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 at the beginning of August,
the uptake decreased until the end of September. This seasonality was more
pronounced at the polygon center than at the polygon rim. Interestingly,
towards September the net <inline-formula><mml:math id="M264" 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 at the polygon rim exhibited an
increase for a period of about 1 week, before it decreased again towards
the end of September. <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes showed a similar but less
distinct seasonal pattern, and the peak of the highest <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes
was in mid-August. In contrast, <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes showed no seasonal trend
at the polygon center, while at the polygon rim the <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes were
also highest when <inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and NEE reached their maxima.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e3493">Relationships between water table fluctuations and
<bold>(a)</bold> <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, <bold>(b)</bold> <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes,
<bold>(c)</bold> <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, and <bold>(d)</bold> GPP fluxes during the
period July–August at the polygon center. Negative values on the <inline-formula><mml:math id="M273" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis
indicate a water table below the soil surface.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/16/1543/2019/bg-16-1543-2019-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e3557">Fitting parameters of the <inline-formula><mml:math id="M274" 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 models. The values are
given with the standard deviation of the model results from the single
measurement plots (light grey error bars) and the confidence intervals
(95 %) of the fitting parameters (dark grey error bars).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/16/1543/2019/bg-16-1543-2019-f05.png"/>

        </fig>

      <p id="d1e3577">As GPP, NPP, and <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes were calculated from the measured NEE,
<inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, these fluxes show similar patterns of
seasonality. The highest GPP and NPP fluxes were observed during the
vegetation maximum, with a more pronounced seasonality at the polygon center
compared to the rim. In general, <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes were within the same
range at both sites, which is in contrast to the calculated GPP fluxes that
were almost twice as high at the polygon center as at the rim.</p>
      <p id="d1e3624">Interestingly, the <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes were linearly correlated with WT
fluctuations from the beginning of July until the end<?pagebreak page1551?> of August (Fig. 4d). In
contrast, neither a trend of higher <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes during times of high
WT nor a trend of lower <inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes during times of low WT was observed.
Instead, the <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes showed a significant correlation (<inline-formula><mml:math id="M283" 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">0.71</mml:mn></mml:mrow></mml:math></inline-formula>; <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) with WT fluctuations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e3701">Modeled and measured <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> fluxes at the polygon center in
<inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g <inline-formula><mml:math id="M287" 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="M288" 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="M289" 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>. Measured fluxes are available
for NEE <bold>(a)</bold>, <inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(b)</bold>, and
<inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(c)</bold>. NEE model fluxes were calculated from modeled GPP
<bold>(e)</bold> minus modeled <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> model
fluxes <bold>(d)</bold> from modeled <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> minus modeled <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>,
and NPP model fluxes <bold>(f)</bold> from modeled GPP minus modeled
<inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. Note the different scales of the axes.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://bg.copernicus.org/articles/16/1543/2019/bg-16-1543-2019-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><?xmltex \opttitle{Modeled {$\protect\chem{CO_{2}}$} fluxes}?><title>Modeled <inline-formula><mml:math id="M297" 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>
      <?pagebreak page1552?><p id="d1e3882">The fitting parameter of the GPP model (Eq. 3), <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, showed strong
spatial and temporal variability (Fig. 5b). The <inline-formula><mml:math id="M299" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> values (Eq. 4) used
for the GPP model showed a high temporal variability with a mean of <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.62</mml:mn></mml:mrow></mml:math></inline-formula>. This value increased sharply towards the peak vegetation period at the
end of July and decreased thereafter until the end of the growing season. The
<inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values showed a strong temporal variability (high standard
deviation) at the polygon center (mean: <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mn mathvariant="normal">250.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">101.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g <inline-formula><mml:math id="M304" 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="M305" 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="M306" 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>). Considerable
differences in <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were also observed between the polygon rim and
the center. The average <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at the polygon rim (<inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mn mathvariant="normal">135.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">37.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g <inline-formula><mml:math id="M311" 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="M312" 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="M313" 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 substantially lower
than at the polygon center (<inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mn mathvariant="normal">250.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">101.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g <inline-formula><mml:math id="M316" 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="M317" 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="M318" 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>). As with the measured
NEE, <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> values displayed an increase at the polygon rim towards the
end of September. The fitting parameter of the <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> model (Eq. 2), <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>base</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, also showed strong spatial and
temporal variability (Fig. 5d). In general, <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>base</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was higher at the
polygon rim. The averaged <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>base</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values for the <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> model
fit differed substantially between sites with <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g <inline-formula><mml:math id="M328" 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="M329" 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="M330" 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 the polygon center and
<inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:mn mathvariant="normal">29.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g <inline-formula><mml:math id="M333" 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="M334" 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="M335" 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 the polygon
rim.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e4308">Modeled and measured <inline-formula><mml:math id="M336" 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 at the polygon rim in
<inline-formula><mml:math id="M337" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g <inline-formula><mml:math id="M338" 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="M339" 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="M340" 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>. Measured fluxes are available
for NEE <bold>(a)</bold>, <inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(b)</bold>, and
<inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(c)</bold>. NEE model fluxes were calculated from modeled GPP
<bold>(e)</bold> minus modeled <inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> model fluxes
<bold>(d)</bold> from modeled <inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> minus modeled <inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and NPP
model fluxes <bold>(f)</bold> from modeled GPP minus modeled <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. Note
the different scales of the axes.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://bg.copernicus.org/articles/16/1543/2019/bg-16-1543-2019-f07.png"/>

        </fig>

      <p id="d1e4469">Polygon center <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes were best modeled using surface
temperature as an explanatory variable (<inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mtext>adj</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.70</mml:mn></mml:mrow></mml:math></inline-formula>), while for
the polygon rim the soil temperature showed the best fitting
(<inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mtext>adj</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.46</mml:mn></mml:mrow></mml:math></inline-formula>). In contrast to the <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, the
polygon center <inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes were best modeled when the air
temperature was used as an explanatory variable (<inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mtext>adj</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.55</mml:mn></mml:mrow></mml:math></inline-formula>). At
the polygon rim, using the soil temperature as an explanatory variable showed
the best fitting (<inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mtext>adj</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.45</mml:mn></mml:mrow></mml:math></inline-formula>) when modeling <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
fluxes. Differences in the goodness of the fits for the <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> flux
model were small. The <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mtext>adj</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> of the GPP model was 0.82 for the
polygon center and 0.45 for the polygon rim.</p>
      <p id="d1e4610">The modeled GPP, <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes were used to
calculate the NEE, <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and NPP fluxes. All fluxes showed similar
seasonal patterns as fluxes from chamber measurements. The comparison between
modeled and measured fluxes showed highly significant correlation (<inline-formula><mml:math id="M361" 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">0.39</mml:mn></mml:mrow></mml:math></inline-formula>–0.88, <inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>; Figs. 6 and 7). However, the fluxes at the polygon
rim tended to be underestimated by the model if the respiration fluxes were
high and the other fluxes were low (close to zero or positive NEE). A similar
trend was observed for the respiration fluxes from the polygon center.
Furthermore, NEE, GPP, and NPP fluxes seem to be generally underestimated by
the flux models. However, this offset was to be expected due<?pagebreak page1553?> to the use of
different PAR values for flux calculation (see Sect. 3.6).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e4676">Means and range of the modeled fluxes in
<inline-formula><mml:math id="M363" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g <inline-formula><mml:math id="M364" 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="M365" 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="M366" 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></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Polygon center</oasis:entry>
         <oasis:entry colname="col4">Polygon rim</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="M367" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g CO<inline-formula><mml:math id="M368" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> m<inline-formula><mml:math id="M369" 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="M370" 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">(in <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g CO<inline-formula><mml:math id="M372" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> m<inline-formula><mml:math id="M373" 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="M374" 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">NEE</oasis:entry>
         <oasis:entry colname="col2">mean</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">range</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">288</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">53</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:mn mathvariant="normal">54</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">117</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mn mathvariant="normal">49</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GPP</oasis:entry>
         <oasis:entry colname="col2">mean</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">98</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">61</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">range</oasis:entry>
         <oasis:entry colname="col3">up to <inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">342</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">53</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">up to <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">163</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">57</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">eco</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">mean</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mn mathvariant="normal">29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mn mathvariant="normal">35</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">range</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mn mathvariant="normal">12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:mn mathvariant="normal">69</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mn mathvariant="normal">21</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:mn mathvariant="normal">77</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M392" 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 colname="col2">mean</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mn mathvariant="normal">11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:mn mathvariant="normal">21</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">range</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mn mathvariant="normal">6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:mn mathvariant="normal">27</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:mn mathvariant="normal">14</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mn mathvariant="normal">46</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M399" 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></oasis:entry>
         <oasis:entry colname="col2">mean</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mn mathvariant="normal">19</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mn mathvariant="normal">14</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">range</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mn mathvariant="normal">55</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:mn mathvariant="normal">32</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NPP</oasis:entry>
         <oasis:entry colname="col2">mean</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">85</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">49</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">range</oasis:entry>
         <oasis:entry colname="col3">up to <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">300</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">53</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">up to <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">142</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">57</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e5419">Integrated <inline-formula><mml:math id="M410" 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 at the polygon rim and center. The
values were calculated from the model results and are given in
g <inline-formula><mml:math id="M411" 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="M412" 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>. In total, both sites acted as a net <inline-formula><mml:math id="M413" 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 during the growing season. NEE: net ecosystem exchange;
GPP: gross primary productivity; <inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>: ecosystem respiration;
<inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>: heterotrophic respiration; <inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>: autotrophic
respiration; NPP: net primary productivity; WT: water table;
TD: thaw depth.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/16/1543/2019/bg-16-1543-2019-f08.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Integrated fluxes</title>
      <?pagebreak page1554?><p id="d1e5515">Based on the modeled chamber <inline-formula><mml:math id="M417" 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, time-integrated <inline-formula><mml:math id="M418" 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 calculated for the period between mid-July and the end of
September 2015 (Table 1, Fig. 8). The integrated GPP flux at the polygon
center was significantly (<inline-formula><mml:math id="M419" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test, <inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) higher than at the polygon
rim. In contrast, the integrated <inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes at the polygon rim were
almost double those at the polygon center (<inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>). This trend was also
observed for <inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, although here the difference was not as
large as seen for <inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes and was not significant (<inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Furthermore, the flux differences in <inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> between
the sites were rather small. Much higher GPP fluxes in association with lower
<inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and similar <inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes led to an integrated NEE, which
was more than twice as high at the polygon center (<inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">68</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> <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>g <inline-formula><mml:math id="M431" 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="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> s<inline-formula><mml:math id="M433" 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>) as at the rim (<inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">19</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M435" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g <inline-formula><mml:math id="M436" 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="M437" 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> s<inline-formula><mml:math id="M438" 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 led to an almost twice
as high NPP at the center as at the rim. The upscaled NEE from modeled
chamber data correlated highly significantly (<inline-formula><mml:math id="M439" 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">0.77</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>)
with modeled NEE from EC data (Fig. 9). However, the upscaled NEE from
modeled chamber data tended to underestimate the highest uptake and release
by NEE in comparison to modeled NEE from EC data.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e5796">Comparison of chamber and half-hourly averaged EC NEE. The chamber
NEE was calculated based on the contribution of each surface class to the EC
footprint (Eq. 5).</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://bg.copernicus.org/articles/16/1543/2019/bg-16-1543-2019-f09.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
      <p id="d1e5817">This study presented NEE, GPP, NPP, <inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>,
and <inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes obtained from direct measurements and modeling
approaches for dry and wet sites of the polygonal tundra. The <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
fluxes were higher at the polygon rim compared to the center due to drier
soil conditions at the rim. <inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes from both sites were similar,
although the vascular plant cover at the center was higher, probably due to
water-saturated conditions at the center. In addition, the integrated
<inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes at the rim were higher than at the center due to
higher <inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and similar <inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes at both sites. The mean
GPP fluxes are much higher at the center compared to the rim due to
differences in vegetation between the sites. Together with <inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
fluxes that are within the same range between the sites, the differences in
GPP lead to an NPP almost 2 times higher at the center compared to the rim.
In sum, both the water-saturated polygon center and the non-saturated polygon
rim acted as net sinks for atmospheric <inline-formula><mml:math id="M450" 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> for the period from mid-July to
the end of September 2015. However, the <inline-formula><mml:math id="M451" 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 strength differed
substantially between wet and dry tundra, which can be related to the
different hydrological conditions and vegetation composition</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e5945">Comparison of daily averaged <inline-formula><mml:math id="M452" 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 from different
polygonal tundra sites, which are similar in vegetation and soil composition
to our study site. All listed fluxes were measured with the closed-chamber
technique.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="105.275197pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="48.369685pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="56.905512pt"/>
     <oasis:colspec colnum="4" colname="col4" align="justify" colwidth="51.214961pt"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="51.214961pt"/>
     <oasis:colspec colnum="6" colname="col6" align="justify" colwidth="51.214961pt"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Location</oasis:entry>
         <oasis:entry colname="col2">Tundra</oasis:entry>
         <oasis:entry colname="col3">Period</oasis:entry>
         <oasis:entry colname="col4">NEE</oasis:entry>
         <oasis:entry colname="col5">GPP</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">Ref.</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">type</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">(g C m<inline-formula><mml:math id="M466" 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> d<inline-formula><mml:math id="M467" 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="col5">(g C m<inline-formula><mml:math id="M468" 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> d<inline-formula><mml:math id="M469" 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="col6">(g C m<inline-formula><mml:math id="M470" 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> d<inline-formula><mml:math id="M471" 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="col7"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Lena River Delta, RU <?xmltex \hack{\hfill\break}?>(72<inline-formula><mml:math id="M472" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N,127<inline-formula><mml:math id="M473" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)</oasis:entry>
         <oasis:entry colname="col2">pol. rim<?xmltex \hack{\hfill\break}?>pol. center</oasis:entry>
         <oasis:entry colname="col3">Jul–Sep 2015</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M474" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M475" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M476" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M477" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M478" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M479" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">a</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Barrow, US (71<inline-formula><mml:math id="M480" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 157<inline-formula><mml:math id="M481" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W)</oasis:entry>
         <oasis:entry colname="col2">pol. rim <?xmltex \hack{\hfill\break}?>pol. center</oasis:entry>
         <oasis:entry colname="col3">Jun–Aug 2005</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M486" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M487" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">b</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">pol. rim <?xmltex \hack{\hfill\break}?>pol. center</oasis:entry>
         <oasis:entry colname="col3">Jun–Aug 2006</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M488" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M490" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Barrow, US (71<inline-formula><mml:math id="M494" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 157<inline-formula><mml:math id="M495" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W)</oasis:entry>
         <oasis:entry colname="col2">pol. center</oasis:entry>
         <oasis:entry colname="col3">Jun–Aug 1992</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M496" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.04</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:mo>-</mml:mo><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></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M498" 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></oasis:entry>
         <oasis:entry colname="col7">c</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Barrow, US (71<inline-formula><mml:math id="M499" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 157<inline-formula><mml:math id="M500" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W)</oasis:entry>
         <oasis:entry colname="col2">pol. center</oasis:entry>
         <oasis:entry colname="col3">Jul–Aug 2008</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M501" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M502" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M503" display="inline"><mml:mrow><mml:mn mathvariant="normal">3.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">d</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Barrow, US (71<inline-formula><mml:math id="M504" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 157<inline-formula><mml:math id="M505" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W)</oasis:entry>
         <oasis:entry colname="col2">pol. center</oasis:entry>
         <oasis:entry colname="col3">Jul–Aug 2010</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M508" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">e</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Daring Lake, CA<?xmltex \hack{\hfill\break}?>(65<inline-formula><mml:math id="M509" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 111<inline-formula><mml:math id="M510" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W)</oasis:entry>
         <oasis:entry colname="col2">dry heath <?xmltex \hack{\hfill\break}?>wet sedge</oasis:entry>
         <oasis:entry colname="col3">Jun–Sep 2004</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M516" 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></oasis:entry>
         <oasis:entry colname="col7">f</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Cherskii, RU (68<inline-formula><mml:math id="M517" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 161<inline-formula><mml:math id="M518" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)</oasis:entry>
         <oasis:entry colname="col2"><italic>Carex</italic> shrub</oasis:entry>
         <oasis:entry colname="col3">Jul–Aug 2013 <?xmltex \hack{\hfill\break}?>Jul–Aug 2014</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M520" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M521" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M522" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M523" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M524" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">g</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Vorkuta, RU (67<inline-formula><mml:math id="M525" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 63<inline-formula><mml:math id="M526" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)</oasis:entry>
         <oasis:entry colname="col2">sedge bog</oasis:entry>
         <oasis:entry colname="col3">Jun–Aug 1996</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M527" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M529" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">h</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Vorkuta, RU (67<inline-formula><mml:math id="M530" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 63<inline-formula><mml:math id="M531" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)</oasis:entry>
         <oasis:entry colname="col2">wet tundra <?xmltex \hack{\hfill\break}?>dry tundra</oasis:entry>
         <oasis:entry colname="col3">Jun–Sep 2001 <?xmltex \hack{\hfill\break}?>Jun–Sep 2001</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M532" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">1.1</mml:mn><mml:mtext>j</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">1.2</mml:mn><mml:mtext>j</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M534" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">1.9</mml:mn><mml:mtext>j</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M535" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mn mathvariant="normal">1.9</mml:mn><mml:mtext>j</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M536" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">0.9</mml:mn><mml:mtext>j</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula><?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M537" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">3.2</mml:mn><mml:mtext>j</mml:mtext></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">i</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Prudhoe Bay, US<?xmltex \hack{\hfill\break}?>(70<inline-formula><mml:math id="M538" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 149<inline-formula><mml:math id="M539" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W)</oasis:entry>
         <oasis:entry colname="col2">wet tundra</oasis:entry>
         <oasis:entry colname="col3">Jun–Aug 1994</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M541" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">k</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lena River Delta, RU<?xmltex \hack{\hfill\break}?>(72<inline-formula><mml:math id="M543" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 127<inline-formula><mml:math id="M544" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E)</oasis:entry>
         <oasis:entry colname="col2">dry tundra</oasis:entry>
         <oasis:entry colname="col3">Jun–Sep 2014 <?xmltex \hack{\hfill\break}?>Jun–Sep 2015</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M545" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.0</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M549" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">l</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">wet tundra</oasis:entry>
         <oasis:entry colname="col3">Jun–Sep 2014 <?xmltex \hack{\hfill\break}?>Jun–Sep 2015</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M551" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M552" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M553" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.3</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M554" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M555" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula> <?xmltex \hack{\hfill\break}?> <inline-formula><mml:math id="M556" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e5959"><inline-formula><mml:math id="M453" display="inline"><mml:msup><mml:mi/><mml:mtext>a</mml:mtext></mml:msup></mml:math></inline-formula> This study; <inline-formula><mml:math id="M454" display="inline"><mml:msup><mml:mi/><mml:mtext>b</mml:mtext></mml:msup></mml:math></inline-formula> Olivas et al. (2011);
<inline-formula><mml:math id="M455" display="inline"><mml:msup><mml:mi/><mml:mtext>c</mml:mtext></mml:msup></mml:math></inline-formula> Oechel et al. (1995); <inline-formula><mml:math id="M456" display="inline"><mml:msup><mml:mi/><mml:mtext>d</mml:mtext></mml:msup></mml:math></inline-formula> Lara and Tweedie (2014);
<inline-formula><mml:math id="M457" display="inline"><mml:msup><mml:mi/><mml:mtext>e</mml:mtext></mml:msup></mml:math></inline-formula> Lara et al. (2012); <inline-formula><mml:math id="M458" display="inline"><mml:msup><mml:mi/><mml:mtext>f</mml:mtext></mml:msup></mml:math></inline-formula> Nobrega and Grogan (2008);
<inline-formula><mml:math id="M459" display="inline"><mml:msup><mml:mi/><mml:mtext>g</mml:mtext></mml:msup></mml:math></inline-formula> Kwon et al. (2016); <inline-formula><mml:math id="M460" display="inline"><mml:msup><mml:mi/><mml:mtext>h</mml:mtext></mml:msup></mml:math></inline-formula> Zamolodchikov et al. (2000);
<inline-formula><mml:math id="M461" display="inline"><mml:msup><mml:mi/><mml:mtext>i</mml:mtext></mml:msup></mml:math></inline-formula> Heikkinen et al. (2004); <inline-formula><mml:math id="M462" display="inline"><mml:msup><mml:mi/><mml:mtext>j</mml:mtext></mml:msup></mml:math></inline-formula> standard deviation not
specified; <inline-formula><mml:math id="M463" display="inline"><mml:msup><mml:mi/><mml:mtext>k</mml:mtext></mml:msup></mml:math></inline-formula> Vourlitis et al. (2000); <inline-formula><mml:math id="M464" display="inline"><mml:msup><mml:mi/><mml:mtext>l</mml:mtext></mml:msup></mml:math></inline-formula> Rößger et
al. (2019).</p></table-wrap-foot></table-wrap>

<sec id="Ch1.S5.SS1">
  <label>5.1</label><?xmltex \opttitle{{$\protect\chem{CO_{2}}$} fluxes from arctic tundra sites}?><title><inline-formula><mml:math id="M557" 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 from arctic tundra sites</title>
      <?pagebreak page1555?><p id="d1e7586">To the best of our knowledge, <inline-formula><mml:math id="M558" 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 from polygon rim and center
sites have been reported only from Barrow, Alaska (Table 2). The daily
averaged net <inline-formula><mml:math id="M559" 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 at the polygon center from this study is
twice as high as reported from any other study concerning <inline-formula><mml:math id="M560" 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
from polygonal tundra. Only the study by Olivas et al. (2011) reported the polygonal
tundra to be a net sink, while other studies (Oechel et al., 1995; Lara et
al., 2012; Lara and Tweedie, 2014) reported the polygonal tundra to be a net
source of <inline-formula><mml:math id="M561" 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> over the growing season. The GPP fluxes from the
polygon center from this study exceed the GPP fluxes from Barrow reported by
Oechel et al. (1995) and Lara et al. (2012), but they are distinctly lower
than those reported by Olivas et al. (2011) and Lara and Tweedie (2014). In
terms of respiration, the <inline-formula><mml:math id="M562" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes from this study at both sites
are lower compared to the reported <inline-formula><mml:math id="M563" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes from the polygonal
tundra at Barrow. However, the interannual variability of reported
<inline-formula><mml:math id="M564" 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 from Barrow is rather high, which could also be caused by
different vegetation and soil composition between the sites at Barrow.</p>
      <p id="d1e7667">A comparison of the <inline-formula><mml:math id="M565" 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 from the wet and dry site from this
study with other wet and dry sites of the arctic tundra revealed rather low
photosynthesis and respiration rates from the polygonal tundra on Samoylov
Island (Table 2). The <inline-formula><mml:math id="M566" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes from this study at both sites are
the lowest compared to other sites, and the GPP fluxes of the polygon rim from
this study are at the lower end compared to other dry sites, while the GPP
fluxes of the polygon center are between the fluxes from other wet sites.
Only one study from a <italic>Carex</italic> shrub site in Cherskii reported higher
NEE (Kwon et al., 2016) compared to the polygon center from this study. Both
the moderate GPP and low <inline-formula><mml:math id="M567" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes at the polygon center lead to
rather high net <inline-formula><mml:math id="M568" 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 compared to other arctic tundra sites.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><?xmltex \opttitle{Factors controlling {$\protect\chem{CO_{2}}$} fluxes}?><title>Factors controlling <inline-formula><mml:math id="M569" 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="d1e7738">The rather moderate GPP and low <inline-formula><mml:math id="M570" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes of the polygonal tundra
on Samoylov Island compared to other arctic sites might be due to differences
in vegetation composition, organic matter contents, low nutrient
availability, or low temperatures and radiation at the study site. The
polygonal tundra on Samoylov Island is considered an ecosystem with<?pagebreak page1556?> rather
moderate GPP due to its low vascular plant cover with a maximum leaf coverage
of 0.3 (Kutzbach et al., 2007b). Mosses, which have a high coverage (<inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula>), were dominant at both sites and have a much lower photosynthetic
capacity than vascular plants (Brown et al., 1980). In general, the
photosynthesis of vascular plants and respiration fluxes are lowered due to the low nutrient
availability in arctic tundra ecosystems (Shaver et al., 1998). A low
nutrient availability is typical for most tundra soils due to water-saturated
conditions and low soil temperatures (Johnson et al., 2000). These conditions
cause low microbial decomposition rates (Hobbie et al., 2002), which in turn
result in a low supply of bioavailable nutrients (Beermann et al., 2015).
However, following Sanders et al. (2010) the nitrogen turnover rates of the
soils found at the study site can be estimated as rather low compared to
other arctic tundra sites. Additionally, the long-term average net radiation
at the study site (June to August, 1999–2011) was 85 W m<inline-formula><mml:math id="M572" 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>
(1999–2011), which is lower than values reported from other arctic tundra
sites in Alaska and Greenland (Boike et al., 2013; e.g., Wendler and Eaton,
1990; Oechel et al., 2014; Soegaard et al., 2001; Lynch et al., 1999). These
factors might explain the comparatively low <inline-formula><mml:math id="M573" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and moderate GPP
fluxes at the polygon rim and center compared to other arctic tundra sites.</p>
      <p id="d1e7785">The differences observed in GPP between the polygon rim and center can be
related to the vascular plant coverage. The polygon center had a much higher
abundance of sedges, while the rim was moss dominated, and the sparsely spread
vascular plants had shorter and fewer leaves. Therefore, the photosynthetic
capacity is higher at the polygon center than at the rim, resulting in the
center having a higher GPP. Additionally, limited water availability due to
the elevation of the polygon rim caused moisture runoff, with a drier or
desiccated moss layer, which may have contributed to a lower GPP (Olivas et
al., 2011). On the other hand, Olivas et al. (2011) found GPP fluxes to be
higher at a polygon rim than at a polygon center in the Alaskan coastal
plains. They related low GPP fluxes at the polygon center to the submersion of
the moss layer and vascular plants. At the polygon center of the current
study, the WT was frequently below the soil surface so that the submersion of
erect vascular plants was not regularly observed, and most of the moss
layer itself was not submerged. This difference in GPP between the Alaskan
study sites (Olivas et al., 2011) and those presented in this study reveals
the important influence, beside the vegetation composition, of water level
and its fluctuations throughout the season on <inline-formula><mml:math id="M574" 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.</p>
      <p id="d1e7799">Differences in respiration fluxes between the wet and dry sites can be
related to different soil conditions. The cold and waterlogged conditions,
typical for the polygon centers, reduced the decomposition of SOM due to oxygen
limitation, causing low microbial activity and therefore low <inline-formula><mml:math id="M575" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
(Hobbie et al., 2002; Walz et al., 2017). Furthermore, moisture runoff at
the rim created drier conditions in the topsoil, which increased soil oxygen
availability and subsequently enhanced <inline-formula><mml:math id="M576" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M577" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
(Oechel et al., 1998). In addition, the stronger diurnal amplitude of the
soil temperature at the polygon rim compared to the center led to higher
daily soil temperatures. Both the increased temperatures and oxygen supply at
the polygon rim relative to the center enhance microbial decomposition,
causing higher <inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes to be observed at the polygon rim. As
such, the low <inline-formula><mml:math id="M579" 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 (NEE) at the rim is caused not only by low
GPP, but also by higher <inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes compared to the center. The
higher NEE at the polygon center compared to the rim is mainly driven by
substantially higher GPP and lower <inline-formula><mml:math id="M581" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, which are due to
differences in vascular plant cover, temperature, and hydrology. This finding
is in good agreement with Nobrega and Grogan (2008), who compared a wet sedge,
dry heath, and mesic birch site and found that the highest <inline-formula><mml:math id="M582" 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
at the wet sedge site was due to limited <inline-formula><mml:math id="M583" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> associated with
waterlogged conditions.</p>
      <p id="d1e7903">Measurements of <inline-formula><mml:math id="M584" 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 at the polygon rim showed an increase in
net <inline-formula><mml:math id="M585" 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 throughout September, whereas at the polygon center
the NEE appeared to continuously decrease (lower net uptake of <inline-formula><mml:math id="M586" 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>).
This increase in late-season NEE at the polygon rim cannot be explained by
rising PAR or temperature, but it may be related to the photosynthetic activity
of mosses. At the study site, Kutzbach et al. (2007b) considered September as
the period during which moss photosynthesis dominates GPP. During this time of the
growing season, mosses can still assimilate substantial amounts of
<inline-formula><mml:math id="M587" 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> because they tend to reach light saturation at lower irradiance
(Harley et al., 1989). The photosynthetic activity of mosses declines rapidly
when they face desiccation because they cannot actively control their tissue
water content (Turetsky et al., 2012). Additionally, it has been shown that
mosses face light stress during times of high PAR (Murray et al., 1993). This
light stress causes delayed senescence and more late-season photosynthesis
(Zona et al., 2011). On Samoylov, the photosynthetic activity on the
moss-dominated polygon rim is expected to be low during warm and dry periods,
such as those seen at the beginning of September 2015, and during times of
high PAR. In contrast, with continuous rainfall, dew formation, and the lower
PAR observed in mid-September, the mosses on the polygon rim are likely to
have resumed their metabolic activity, which led to increasing NEE at the
rim. These findings are in good agreement with Olivas et al. (2011), who
reported the highest contribution of mosses to GPP at the beginning and end
of the growing season.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Partitioning respiration fluxes in arctic tundra ecosystems</title>
      <?pagebreak page1557?><p id="d1e7958">To date, only a few studies have estimated <inline-formula><mml:math id="M588" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes from arctic
tundra ecosystems over a growing season under in situ conditions (Nobrega and
Grogan, 2008; Biasi et al., 2014). Surprisingly, the differences in
<inline-formula><mml:math id="M589" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> flux estimates reported in the literature and those presented in
this study were rather low. Differences in <inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes measured with
the trenching method may result from differences in the time between
trenching and the start of the measurements. Nobrega and Grogan (2008), for
example,
started their <inline-formula><mml:math id="M591" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> measurements 1 d after clipping, while
measurements in this study and that of Biasi et al. (2014) started about
1 year after treatment. Therefore, although these studies employed a similar
partitioning approach for seasonal estimates of <inline-formula><mml:math id="M592" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, any
comparison must be made with caution. The few <inline-formula><mml:math id="M593" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> flux estimates in
the literature from other arctic tundra sites were higher than the
<inline-formula><mml:math id="M594" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values from the Lena River Delta (<inline-formula><mml:math id="M595" 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> and <inline-formula><mml:math id="M596" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> g C m<inline-formula><mml:math id="M597" 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> d<inline-formula><mml:math id="M598" 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 the polygon rim and center, respectively).
Higher growing season <inline-formula><mml:math id="M599" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes than found in this study
(0.8–1.8 g C m<inline-formula><mml:math id="M600" 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> d<inline-formula><mml:math id="M601" 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>) have been measured at a mesic birch and
dry heath site at Daring Lake in Canada (Nobrega and Grogan, 2008) and at a
bare peat site (1.0 g C m<inline-formula><mml:math id="M602" 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> d<inline-formula><mml:math id="M603" 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 the subarctic tundra at
Seida, Russia (Biasi et al., 2014). Both sites contained substantially higher
amounts of SOC in the organic-rich layer than the soil at the polygon rim and
were well-aerated compared to the soil at the polygon center, both of which
likely caused a higher organic matter decomposition rate and could explain
the higher <inline-formula><mml:math id="M604" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes than found at the polygonal tundra sites.
Similar <inline-formula><mml:math id="M605" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes to those reported in our study were measured at a
wet sedge site in Daring Lake (0.4 g C m<inline-formula><mml:math id="M606" 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> d<inline-formula><mml:math id="M607" 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>) (Nobrega and
Grogan, 2008), where soil and environmental conditions like WT, ALD, soil
temperature, vegetation, and SOC were similar to the Samoylov sites and
vegetated peat sites in Seida (0.4–0.6 g C m<inline-formula><mml:math id="M608" 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> d<inline-formula><mml:math id="M609" 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>) (Biasi et
al., 2014). Despite these differences, the average contributions of
<inline-formula><mml:math id="M610" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></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:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of 42 % at the center and 60 % at the
rim are in good agreement with those observed at Seida (37 %–64 %)
and Daring Lake (44 %–64 %). Similar contributions have also been
determined from arctic tussock tundra sites, where <inline-formula><mml:math id="M612" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> makes up
approximately 40 % of growing season <inline-formula><mml:math id="M613" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Segal and Sullivan,
2014; Nowinski et al., 2010), and from a moist acidic tussock tundra site
(Hicks Pries et al., 2013). In contrast to these results, in a subarctic
peatland, Dorrepaal et al. (2009) report a substantially higher contribution
of <inline-formula><mml:math id="M614" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M615" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> of about 70 %. The different
contribution of <inline-formula><mml:math id="M616" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M617" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at the polygon rim and center
on Samoylov Island can be related to differences in vascular plant coverage
and moisture conditions between these sites. The higher GPP at the center
relative to the rim also caused higher rates of <inline-formula><mml:math id="M618" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, in turn
lowering the contribution of <inline-formula><mml:math id="M619" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M620" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. Additionally,
anoxic soil conditions due to standing water, which characterized the polygon
center, reduced SOM decomposition rates. Furthermore, Moyano et al. (2013)
and Nobrega and Grogan (2008) have shown that consistently moderate moisture
conditions, as at the polygon rim, promote microbial activity and therefore
enable higher <inline-formula><mml:math id="M621" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> rates than at the center.</p>
      <p id="d1e8352">At the polygon center, the WT significantly correlated with <inline-formula><mml:math id="M622" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
and <inline-formula><mml:math id="M623" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, but no correlation between <inline-formula><mml:math id="M624" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes and
WT was found. In contrast to this, none of the determined respiration fluxes
(<inline-formula><mml:math id="M625" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M626" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M627" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) correlated with VWC at the
polygon rim, which might be due to a rather low range of VWC
(28 %–34 %). The <inline-formula><mml:math id="M628" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes may be negatively affected by
high WT due to the submersion of the moss layer and part-wise vascular leaves, as
submersion can lead to plant stress, reducing productivity and nutrient
turnover (Gebauer et al., 1995). However, if <inline-formula><mml:math id="M629" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes were
reduced due to low photosynthetic activity, we would expect a correlation
between GPP and <inline-formula><mml:math id="M630" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, as observed at the polygon rim (<inline-formula><mml:math id="M631" 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">0.48</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M632" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>) but not at the center (<inline-formula><mml:math id="M633" 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">0.01</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M634" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).
Instead, only half as much <inline-formula><mml:math id="M635" 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> is released by <inline-formula><mml:math id="M636" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at the
center compared to the rim at similar GPP fluxes, as the GPP : <inline-formula><mml:math id="M637" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
ratio indicates (10.5 vs. 5.1 for the polygon center and rim, respectively).
It is likely that <inline-formula><mml:math id="M638" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is reduced due to water-saturated soils, as
shown previously for <inline-formula><mml:math id="M639" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes in the Arctic (e.g., Christensen et
al., 1998), perhaps due to slow diffusion under water-saturated conditions
(Frank et al., 1996). Furthermore, it might be possible that <inline-formula><mml:math id="M640" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
fluxes are not affected by water table fluctuations as the decomposition of
SOM could take place in deeper layers. This finding is in contrast to a set
of studies that attributed correlations between <inline-formula><mml:math id="M641" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes and WT
fluctuations solely to the impact of oxygen availability on <inline-formula><mml:math id="M642" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
fluxes (Juszczak et al., 2013; Chimner and Cooper, 2003; Dorrepaal et al.,
2009) or an observed impact of moisture conditions on <inline-formula><mml:math id="M643" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes
across multiple peatland ecosystems (Estop-Aragonés et al., 2018), while
another study has shown no effect between water table fluctuations and
<inline-formula><mml:math id="M644" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes (Chivers et al., 2009). However, the partitioning
approach used in this study showed that <inline-formula><mml:math id="M645" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes are not
responding to water table fluctuations. Instead the <inline-formula><mml:math id="M646" 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> release by
<inline-formula><mml:math id="M647" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is correlated with water table fluctuations. These findings show
the importance of hydrologic conditions for <inline-formula><mml:math id="M648" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes and the
need for partitioning approaches to understand the response of individual
<inline-formula><mml:math id="M649" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes to changing hydrologic conditions.</p>
      <p id="d1e8677">To determine the impact of hydrological conditions and temperature on
<inline-formula><mml:math id="M650" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M651" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes, it would be useful to perform both
warming and wetting experiments in situ. So far, although a number of studies
have determined the temperature response of NEE, GPP, and <inline-formula><mml:math id="M652" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
fluxes in arctic ecosystems with warming experiments (e.g., Natali et al.,
2011; Frey et al., 2008; Voigt et al., 2017), much less research has focused
on the response of <inline-formula><mml:math id="M653" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M654" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes to increasing
temperature (Hicks Pries et al., 2015). Wetting experiments in arctic tundra
ecosystems to determine the individual response of <inline-formula><mml:math id="M655" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M656" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes to changing hydrological conditions are also lacking. As
climate change will likely lead to strong changes in the hydrological regimes
of Siberian tundra regions (Zimov et al., 2006b; Merbold et al., 2009), the
responses of respiration fluxes to altered hydrological conditions should be
addressed in future studies.</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusion</title>
      <p id="d1e8767">The contributions of GPP, <inline-formula><mml:math id="M657" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M658" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M659" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
fluxes to NEE in a drained (rim) and water-saturated (center) site in<?pagebreak page1558?> the
arctic polygonal tundra of northeast Siberia have been quantified in this
study. Both investigated sites acted as <inline-formula><mml:math id="M660" 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> sinks during the
measurement period from mid-July to the end of September 2015. The polygon center was
a considerably stronger <inline-formula><mml:math id="M661" 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 than the polygon rim. The main
drivers behind these differences in <inline-formula><mml:math id="M662" 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 at the pedon scale
were the higher GPP at the polygon center and lower <inline-formula><mml:math id="M663" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>H</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>
fluxes at the polygon center. The substantial differences in NEE between the
dry and wet tundra sites highlight the importance of pedon-scale measurements
for reliable estimates of <inline-formula><mml:math id="M664" 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> surface–atmosphere fluxes from arctic
tundra sites and the important role of soil moisture conditions in
<inline-formula><mml:math id="M665" 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. Hereby, it was shown that <inline-formula><mml:math id="M666" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes respond to
water table changes, with a low release of <inline-formula><mml:math id="M667" 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> by <inline-formula><mml:math id="M668" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>A</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> fluxes
during times of a high water table. Therefore, future studies on <inline-formula><mml:math id="M669" 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 from arctic tundra ecosystems should focus on the role of hydrological
conditions as a driver of these fluxes.</p>
</sec>

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

      <p id="d1e8919">All datasets shown are available at
<ext-link xlink:href="https://doi.org/10.1594/PANGAEA.898876" ext-link-type="DOI">10.1594/PANGAEA.898876</ext-link> (last access: 4 April 2019; Eckhardt et al.,
2019).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e8928">TE, CK, LK, and EMP designed the
study. GS and TE performed the chamber measurements and laboratory analysis.
DH and TE performed the visualization of flux comparisons. TE wrote the paper
with contributions from all authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e8934">The authors declare that they have no conflict of
interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e8940">We would like to thank the
members of the joint Russian–German field campaigns LENA 2014 and LENA 2015,
especially Mikhail N. Gregoriev (Permafrost Institute, Yakutsk, Russia),
Waldemar Schneider, and Günter Stoof (Alfred Wegener Institute for Polar
and Marine Research, Potsdam, Germany), and the crew of the Russian research
station Samoylov for logistical as well as technical support. We are grateful
to Josefine Walz and Mercedes Molina Gámez for valuable help with chamber
measurements and Norman Roessger for intensive support on model development
(all Institute of Soil Science, Universität Hamburg). This work was
supported by the German Ministry of Education and Research
(CarboPerm Project, BMBF grant no. 03G0836A; KoPf Project, BMBF grant
no. 03F0764A). The German coauthors received additional support from the Cluster of
Excellence CliSAP (EXC177) at the University of Hamburg funded by the German
Research Foundation (DFG). We are also grateful for the reviews of
Albertus J. Dolman and two anonymous reviewers and the comments of the editor
Lutz Merbold on a previous version of this paper.</p></ack><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e8945">This paper was edited by Lutz Merbold and reviewed by
Albertus J. (Han) Dolman and two anonymous referees.</p>
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    <!--<article-title-html>Partitioning net ecosystem exchange of CO<sub>2</sub> on the pedon scale in the Lena River Delta, Siberia</article-title-html>
<abstract-html><p>Arctic tundra ecosystems are currently facing amplified rates of climate
warming. Since these ecosystems store significant amounts of soil organic
carbon, which can be mineralized to carbon dioxide (CO<sub>2</sub>) and methane
(CH<sub>4</sub>), rising temperatures may cause increasing greenhouse gas fluxes
to the atmosphere. To understand how net the ecosystem exchange (NEE) of
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it is necessary to understand the individual responses of the processes
contributing to NEE. Therefore, this study aimed to partition NEE at the
soil–plant–atmosphere interface in an arctic tundra ecosystem and to
identify the main environmental drivers of these fluxes. NEE was partitioned
into gross primary productivity (GPP) and ecosystem respiration
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heterotrophic respiration (<i>R</i><sub>H</sub>). The study examined CO<sub>2</sub> flux
data collected during the growing season in 2015 using closed-chamber
measurements in a polygonal tundra landscape in the Lena River Delta,
northeastern Siberia. To capture the influence of soil hydrology on
CO<sub>2</sub> fluxes, measurements were conducted at a water-saturated polygon
center and a well-drained polygon rim. These chamber-measured fluxes were
used to model NEE, GPP, <i>R</i><sub>eco</sub>, <i>R</i><sub>H</sub>, <i>R</i><sub>A</sub>, and net
primary production (NPP) at the pedon scale (1–10&thinsp;m) and to determine
cumulative growing season fluxes. Here, the response of in situ measured
<i>R</i><sub>A</sub> and <i>R</i><sub>H</sub> fluxes from permafrost-affected soils of the
polygonal tundra to hydrological conditions have been examined. Although
changes in the water table depth at the polygon center sites did not affect
CO<sub>2</sub> fluxes from <i>R</i><sub>H</sub>, rising water tables were linked to
reduced CO<sub>2</sub> fluxes from <i>R</i><sub>A</sub>. Furthermore, this work found
the polygonal tundra in the Lena River Delta to be a net sink for atmospheric
CO<sub>2</sub> during the growing season. The NEE at the wet, depressed polygon
center was more than twice that at the drier polygon rim. These differences
between the two sites were caused by higher GPP fluxes due to a higher
vascular plant density and lower <i>R</i><sub>eco</sub> fluxes due to oxygen
limitation under water-saturated conditions at the polygon center in
comparison to the rim. Hence, soil hydrological conditions were one of the
key drivers for the different CO<sub>2</sub> fluxes across this highly
heterogeneous tundra landscape.</p></abstract-html>
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