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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Research article}?>
  <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-19-1611-2022</article-id><title-group><article-title>Grazing enhances carbon cycling but reduces methane emission during peak growing season in the Siberian Pleistocene<?xmltex \hack{\break}?> Park tundra site</article-title><alt-title>Grazing impacts on tundra carbon cycling</alt-title>
      </title-group><?xmltex \runningtitle{Grazing impacts on tundra carbon cycling}?><?xmltex \runningauthor{W.~Fischer~et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Fischer</surname><given-names>Wolfgang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Thomas</surname><given-names>Christoph K.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2277-6013</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Zimov</surname><given-names>Nikita</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff4">
          <name><surname>Göckede</surname><given-names>Mathias</given-names></name>
          <email>mgoeck@bgc-jena.mpg.de</email>
        <ext-link>https://orcid.org/0000-0003-2833-8401</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Micrometeorology Group, University of Bayreuth, Bayreuth, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Bayreuth Center of Ecology and Environmental Research, BayCEER, Bayreuth, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Northeast Science Station, Pacific Institute for Geography, Far Eastern Branch of the Russian Academy of Science,<?xmltex \hack{\break}?>
Chersky, Sakha Republic (Yakutia), Russia</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Biogeochemical Signals, Max Planck Institute for Biogeochemistry, Jena, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Mathias Göckede (mgoeck@bgc-jena.mpg.de)</corresp></author-notes><pub-date><day>21</day><month>March</month><year>2022</year></pub-date>
      
      <volume>19</volume>
      <issue>6</issue>
      <fpage>1611</fpage><lpage>1633</lpage>
      <history>
        <date date-type="received"><day>23</day><month>April</month><year>2021</year></date>
           <date date-type="rev-request"><day>9</day><month>June</month><year>2021</year></date>
           <date date-type="rev-recd"><day>1</day><month>February</month><year>2022</year></date>
           <date date-type="accepted"><day>2</day><month>February</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Wolfgang Fischer et al.</copyright-statement>
        <copyright-year>2022</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/19/1611/2022/bg-19-1611-2022.html">This article is available from https://bg.copernicus.org/articles/19/1611/2022/bg-19-1611-2022.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/19/1611/2022/bg-19-1611-2022.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/19/1611/2022/bg-19-1611-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e134">Large-herbivore grazing has been shown to substantially alter tundra soil and vegetation properties as well as carbon fluxes, yet observational evidence to quantify the impact of herbivore introduction into Arctic permafrost ecosystems remains sparse. In this study we investigated growing-season <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> and <inline-formula><mml:math id="M2" 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> fluxes with flux chambers on a former wet tussock tundra inside Pleistocene Park, a landscape experiment in northeast Siberia with a 22-year history of grazing. Reference data for an undisturbed system were collected on a nearby ungrazed tussock tundra. Linked to a reduction in soil moisture, topsoil temperatures at the grazed site reacted 1 order of magnitude faster to changes in air temperatures compared to the ungrazed site and were significantly higher, and the difference strongly decreased with depth. Overall, both GPP (gross primary productivity, i.e., <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> uptake by photosynthesis) and <inline-formula><mml:math id="M4" 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, i.e., <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> release from the ecosystem) were significantly higher at the grazed site with notable variations across plots at each site. The increases in <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> component fluxes largely compensated for each other, leaving NEE (net ecosystem exchange) similar across grazed and ungrazed sites for the observation period. Soil moisture and <inline-formula><mml:math id="M7" 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> fluxes at the grazed site decreased over the observation period, while in contrast the constantly waterlogged soils at the ungrazed site kept <inline-formula><mml:math id="M8" 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> fluxes at significantly higher levels. Our results indicate that grazing of large herbivores may promote topsoil warming and drying, in this way effectively accelerating <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> turnover while decreasing methane emissions in the summer months of peak ecosystem activity. Since we lack quantitative information on the pre-treatment status of the grazed ecosystem, however, these findings need to be considered qualitative trends for the peak growing season, and absolute differences between treatments are subject to elevated uncertainty. Moreover, our experiment did not include autumn and winter fluxes, and thus no inferences can be made for the annual NEE and <inline-formula><mml:math id="M10" 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> budgets in tundra ecosystems.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e257">In the context of global climate change, surface air temperatures in polar regions have been shown to have risen about twice as fast as the global mean in the past <xref ref-type="bibr" rid="bib1.bibx63" id="paren.1"/>. Since this trend is expected to continue in the future, Northern Hemisphere permafrost ecosystems are at exceptional risk of degradation. The Arctic permafrost region stores about 50 % of the belowground organic carbon stocks on Earth <xref ref-type="bibr" rid="bib1.bibx36" id="paren.2"/>, with an estimated pool of organic C  of between 1307 and 1672 Gt <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx75" id="paren.3"/>. Based on several independent approaches, it is estimated that 130 to 160 Gt C could be released by 2100 under a high warming scenario (i.e., Representative Concentration Pathway scenario 8.5; <xref ref-type="bibr" rid="bib1.bibx72" id="altparen.4"/>), so even a partial release of this currently deep-frozen material would constitute a substantial positive feedback with ongoing warming trends.</p>
      <p id="d1e272">Warming of the active layer facilitates the enhanced decomposition of soil organic carbon, leading to higher rates of ecosystem respiration (<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>) that contribute to higher <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx70 bib1.bibx71" id="paren.5"/>. Moreover, warming-induced permafrost thaw may make organic matter that was previously perennially frozen vulnerable to mineralization <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx56 bib1.bibx31 bib1.bibx71" id="paren.6"/>. At the same time, warmer and longer growing seasons have the potential to change vegetation species composition (e.g., from graminoid-/moss- to shrub-dominated; <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx33 bib1.bibx52" id="altparen.7"/>) and increase living plant biomass, leading to an increase in gross primary productivity (GPP) <xref ref-type="bibr" rid="bib1.bibx20" id="paren.8"/>. Deeper thaw depths may also open up nutrient reservoirs <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx69 bib1.bibx33" id="paren.9"/>, in this way promoting vegetation growth and carbon uptake. Interactions with various other influencing factors, for example changes in snow cover <xref ref-type="bibr" rid="bib1.bibx30" id="paren.10"/> or soil moisture <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx56 bib1.bibx43" id="paren.11"/>, further complicate an assessment of the net effect of these changes.</p>
      <p id="d1e319">Large herbivores (reindeer, muskoxen, horses, bison, etc.) are an additional forcing which may substantially alter the characteristics of high-latitude landscapes, but their potential influence is rarely considered in studies predicting the future state of Arctic permafrost ecosystems. Herbivores can trigger distinct shifts in vegetation communities, e.g., from shrub- or moss-dominated ecosystems to graminoid tundra dominated by dense grass tillers <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx60 bib1.bibx85 bib1.bibx39 bib1.bibx22 bib1.bibx66 bib1.bibx29" id="paren.12"/>. Grazing has been shown to promote certain <italic>Carex</italic> species that produce a high belowground biomass <xref ref-type="bibr" rid="bib1.bibx77" id="paren.13"/>, allowing reliable compensation for growth after being grazed off <xref ref-type="bibr" rid="bib1.bibx65 bib1.bibx39" id="paren.14"/>. Shifts in vegetation composition are usually associated with  an increase in albedo <xref ref-type="bibr" rid="bib1.bibx76 bib1.bibx13 bib1.bibx15" id="paren.15"/>. Regarding belowground ecosystem properties, previous studies have reported an increased annual amplitude in soil temperatures (higher in summer, lower in winter) and significant shifts in soil moisture and texture <xref ref-type="bibr" rid="bib1.bibx62 bib1.bibx76 bib1.bibx86 bib1.bibx87 bib1.bibx5 bib1.bibx61" id="paren.16"/>, which in combination with snow trampling in winter <xref ref-type="bibr" rid="bib1.bibx5" id="paren.17"/> tend to reduce annual permafrost temperatures. Finally, herbivore grazing can cause an increase in nutrient availability and acceleration in nutrient cycling <xref ref-type="bibr" rid="bib1.bibx62 bib1.bibx61 bib1.bibx65 bib1.bibx66" id="paren.18"/>. The combinations of these changes leads to strong and variable alterations in carbon cycle processes (higher <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, higher/lower GPP, higher/lower NEE) <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx53 bib1.bibx80 bib1.bibx7 bib1.bibx85 bib1.bibx84" id="paren.19"/>, with net effects highly dependent on site-specific characteristics.</p>
      <p id="d1e361">Most existing studies focusing on grazing effects were conducted in Scandinavian upland tundra, while other Arctic domains, and particularly wet tundra ecosystems <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx66 bib1.bibx39" id="paren.20"><named-content content-type="pre">e.g.,</named-content></xref>, remain sparsely examined to date. A long-term, landscape-scale experiment called “Pleistocene Park”, established in northeastern Siberia in 1996, provides an opportunity to address this research gap. While initially designed to reestablish a “mammoth steppe” ecosystem which dominated this region in the Pleistocene <xref ref-type="bibr" rid="bib1.bibx87" id="paren.21"/>, the experiment also allows us to study the impact of large herds of herbivores as an agent to stabilize permafrost ecosystems against degradation linked to Arctic warming. Some of the underlying hypotheses related to the Pleistocene Park project are that herbivore grazing (a) increases carbon sequestration by simultaneously increasing productivity and root formation during the growing season, (b) increases the surface albedo by decreasing shrub and tree cover, and (c) decreases <inline-formula><mml:math id="M14" 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> emissions by decreasing soil moisture through condensing soils and increased evapotranspiration by more active vegetation.</p>
      <p id="d1e384">While all the grazing effects listed above have the potential to reduce future positive feedbacks between alterations of the permafrost carbon cycling and the changing climate, so far only limited observational evidence has been presented that allows for evaluating the management effects inside Pleistocene Park. The main objective of the presented study is therefore to provide new insights into the effects of herbivore grazing on carbon cycle processes and ecosystem characteristics within the park. For this purpose, we compare growing-season carbon fluxes from flux chamber measurements along with soil parameters and radiation balance components across an intensively grazed area within Pleistocene Park and a nearby undisturbed site.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Site description</title>
      <p id="d1e402">The study area is located in the Kolyma Lowland region in northeastern Siberia (68.51<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 161.50<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E), close to the town of Chersky, Sakha Republic, Russia, which is situated around 100 km south of the Arctic Ocean. The weather patterns frequently switch between maritime air masses from the north and continental air masses from the southeast, with the former dominating the wintertime conditions and the latter dominating in the summer. The mean daily air temperature can remain at or below <inline-formula><mml:math id="M17" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>40 <inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C for several days during December to February, while daily means of more than 20 <inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C can be reached around the peak of summer. The mean annual temperature (averaged for 1960–2009) is approximately <inline-formula><mml:math id="M20" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.0 <inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. The total amount of annual precipitation (averaged for 1950–1999) is between 200 and 215 mm, with 80 to 110 mm falling as rain <xref ref-type="bibr" rid="bib1.bibx26" id="paren.22"/>. Snowmelt leads to an annual flooding event in the Kolyma River and its tributaries, usually inundating large parts of the study area between middle to late May and late June <xref ref-type="bibr" rid="bib1.bibx43" id="paren.23"/>.</p>
      <p id="d1e471">In the context of this study, we compared carbon fluxes and ecosystem characteristics between two measurement sites in the Chersky region. Both sites are wetland ecosystems situated within the Kolyma Lowland region that are waterlogged for the largest part of the growing season, affected by the flooding regime of the Kolyma River. Our undisturbed reference ecosystem is a tussock tundra site situated about 15 km south of Chersky on the floodplain of the Kolyma River. Due to the very low natural abundance of grazing herbivores in the region, the influence of grazing disturbance on this dataset can be considered negligible. Situated about 15 km further south at the margins of the floodplain, the Pleistocene Park site, hosting a variety of herbivores (sheep, yaks, cows, horses, bison, muskoxen, reindeer), was used to study the effects of grazing on permafrost ecosystems.</p>
      <p id="d1e474">The Pleistocene Park area (<uri>https://pleistocenepark.ru</uri>, last access: 14 March 2022) was established in 1996 on 144 km<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> of permafrost territory mainly consisting of ecotonal upland forest–tundra, wet lowland tundra, and small lakes and rivers. About 2000 ha has been fenced in to concentrate animals on the core domain of the park; accordingly grazing disturbance has influenced these sections for about 25 years. Inside the lowland section on a former wet tussock tundra ecosystem, we selected one of the longest and most intensively grazed areas as our grazing study site, hereafter labeled as “GR”, with data being collected at three plots (GR-1 to GR-3) placed within a radius of approximately 6 m. This site, which similarly to the reference site is flooded every year in spring during snowmelt, is a moist or wet meadow almost without shrubs and also featuring decaying tussocks. The vegetation at this site primarily consists of grasses and sedges, including <italic>Calamagrostis langsdorfii</italic>, <italic>Carex appendiculata</italic> and <italic>Eriophorum</italic> spp. <xref ref-type="bibr" rid="bib1.bibx21" id="paren.24"/>. Before the introduction of grazing herbivores, this site used to be dominated by tussocks and saturated with water during the whole year (Sergey Zimov, personal communication, 2019). Prior to disturbance, the study site therefore represented the typical lowland wet tussock tundra ecosystem dominating large parts of the Kolyma Lowland region.</p>
      <p id="d1e502">The reference site, hereafter labeled as ungrazed site “UGR”, is located outside the Pleistocene Park domain on a wet tussock tundra floodplain along the Ambolikha River, a small tributary of the Kolyma River. Here, a long-term monitoring site was installed to investigate drainage effects on wet tundra ecosystems <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx40 bib1.bibx27" id="paren.25"/>. The reference site for our study is the non-drained control area of this experiment. The dominant vegetation species are tussock-forming <italic>Carex appendiculata</italic> and <italic>C. lugens</italic> and <italic>Eriophorum angustifolium</italic>, with <italic>Betula nana</italic> and <italic>Salix</italic> spp. growing on elevated areas with a lower water table. An organic peat layer (15–20 cm deep) has accumulated on top of alluvial material soils (silty clay) <xref ref-type="bibr" rid="bib1.bibx44" id="paren.26"/>. In the context of this study, we assume this site reflects the status that the grazed site would have if herbivores had not been introduced there since both sites showed a similar ecosystem structure in the early 1990s (Sergey Zimov, personal communication, 2019). Observations were collected at two plots (UGR-1, UGR-2) to capture some variability concerning vegetation structure and soil properties. Based on results of a previous study evaluating small-scale flux variability across a transect of 10 quasi-randomly selected locations <xref ref-type="bibr" rid="bib1.bibx43" id="paren.27"/>, flux rates and environmental conditions within these two plots were shown to be close to the average at this site. In terms of spatial flux variability, UGR-1 (Control-0 site in Kwon et al., 2016) featured a relatively high productivity, while UGR-2 (Control-2) showed comparatively reduced flux rates.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Measuring radiation and soil parameters</title>
      <p id="d1e538">Soil temperatures at 5, 15, 25 and 35 cm depth were recorded at 1 Hz during the time when flux measurements were conducted (Th3-s Soil Temperature Profile Probe, UMS GmbH, Munich, Germany). While the two UGR sites were equipped with one probe each, a single probe was used for the three GR sites due to their proximity. To create a gapless dataset for the full experiment period, <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 25 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 35 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were interpolated linearly (GR sites) or modeled based on a moving average of <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (UGR sites). <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 5 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 15 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> have been modeled based on air temperature, and in the case of <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 5 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> incoming shortwave radiation and corresponding <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 35 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were used additionally in the course of stepwise linear regressions to improve the prediction.</p>
      <p id="d1e619">For soil moisture (SM) measurements, we installed a set of three TDR (time-domain reflectometry) probes (models CS640, CS630 and CS605; Campbell Scientific, Logan, UT, USA) combined for all three GR sites at depths of 7.5, 15 and 30 cm close to the soil temperature sensor and recorded at 1 Hz intervals. At the UGR site, due to the waterlogged conditions, soil moisture was permanently saturated, and no measurements were used within the context of this study. SM values at GR were flagged using plausibility limits, and systematic offsets were corrected. Since the soil moisture data were also only collected during times of flux measurements, values were subsequently linearly interpolated to create continuous time series. For both soil temperature and soil moisture sensors, the surface height between tussocks was used as the reference (0 cm).</p>
      <p id="d1e622">Thaw depths were measured with a metal pole that was stuck into the ground, directly next to the chamber plot, to avoid disturbance, until it hit the frozen bottom of the active layer. The measured thaw depth was defined as the distance between this point and the ground surface, which included the organic layer on top, and loose material was softly pressed down until more or less stable ground was touched.</p>
      <p id="d1e625">Radiation budget components for the GR sites in Pleistocene Park were measured using a net radiometer (model CNR1, Campbell Scientific, Logan, UT, USA) installed at 4 m height on a pole approximately 15 m away from the flux sampling sites. At the UGR sites located at the Ambolikha site, a net radiometer (model CNR4, Campbell Scientific, Logan, UT, USA) permanently installed on a 5 m tall flux tower located approximately 50 m away from the sampling sites provided radiation observations.</p>
      <p id="d1e629">Measurements were stored as 10 min averaged intervals.
Albedo was derived by dividing the average upwelling shortwave radiation by the average downwelling component for each single day. Then, these daily averages were averaged over the observation period. While photosynthetically active radiation (PAR) was measured directly at the UGR site, at GR it was converted from incoming shortwave radiation data using a single conversion factor provided as a function within the R package “LakeMetabolizer” <xref ref-type="bibr" rid="bib1.bibx82" id="paren.28"/> following an approach described by, e.g., <?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx6" id="text.29"/><?xmltex \hack{\egroup}?>. Calculations with this statistical package, as for the other R packages listed below, were conducted using R Version 4.1.1 <xref ref-type="bibr" rid="bib1.bibx67" id="paren.30"/>.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Measuring fluxes using chambers</title>
      <p id="d1e651">Directly prior to measurements at GR, wooden fences were constructed to protect the sites from grazing animals during chamber operation. At both GR and UGR sites, walking boards were placed around the setup to prevent damaging plants and to minimize influences on measurements by disturbing the soil. Our flux chamber approach closely followed <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx44" id="text.31"/> and is therefore only briefly outlined in the following paragraphs.</p>
      <p id="d1e657">Carbon dioxide, <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> and methane (<inline-formula><mml:math id="M31" 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>) fluxes were determined with a non-steady-state flow-through method using an Ultra-Portable Greenhouse Gas Analyzer (UGGA, Los Gatos Research, USA) for in situ measurements of gas concentrations at 1 Hz. PVC collars of 60 cm <inline-formula><mml:math id="M32" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 60 cm, which have a socket at the top for the chamber, were installed in the ground at each plot to prevent leaking of air during chamber measurements. The cubic chamber hoods with a 60 cm side length, made of 4 mm thick plexiglass, were placed on these collars to capture gases exchanged with the surface. They featured an opening valve on the top to avoid pressure effects when the chamber is placed onto the collars. Inside the chamber, three electric fans were installed to ensure well-mixed conditions. Air was pumped from the chamber to the gas analyzer through three tubes installed at different heights inside the chamber hood. Sensors for air temperature (<inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), relative air humidity (RH), air pressure (<inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and photosynthetically active radiation (PAR) were attached to one side of the chamber. For measurements, the chamber was oriented in a way to minimize shading the vegetation with the instruments.</p>
      <p id="d1e711">Each flux measurement was conducted for a period of about 2 min. This period was chosen in order to minimize disturbance effects such as temperature increases or moisture saturation within the chamber <xref ref-type="bibr" rid="bib1.bibx42" id="paren.32"><named-content content-type="pre">e.g.,</named-content></xref> while at the same time collecting enough information for the derivation of a stable flux rate. After completing one measurement, the chamber was lifted and tilted for ventilation until ambient <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> concentrations were reached. 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>) was determined by covering the hood with a white polyethylene tarp that completely blocked incoming radiation. For each plot, one measurement iteration consisted of three NEE measurements and two <inline-formula><mml:math id="M37" 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.</p>
      <p id="d1e752">On each sampling day at GR, we rotated between chamber locations, with about 1 full hour needed to complete the five individual measurements at each of the three plots. Since the two plots at UGR were located further apart, we conducted several individual measurements at one location before switching to the other to minimize the time needed for relocating instrumentation. On each day, only one of the study sites (UGR vs. GR) was sampled.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Calculation and interpolation of carbon fluxes</title>
      <p id="d1e763">Each chamber measurement resulted in a 1 Hz time series of <inline-formula><mml:math id="M38" 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 <inline-formula><mml:math id="M39" 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> concentrations. After excluding the equilibration period of at least 20 s, periods with a minimum length of 40 s and a linear concentration change in greenhouse gases were identified based on the change point detection algorithm provided by the R package “changepoint” <xref ref-type="bibr" rid="bib1.bibx38" id="paren.33"/>. Subsequently, using the R package “boot” <xref ref-type="bibr" rid="bib1.bibx8" id="paren.34"/> we generated 1000 combinations of start and end times within this period and calculated an ensemble of stationarities (slopes) using a bootstrapping approach. The final slope used for flux computations was identified as the frequency distribution's median. Implausible or disturbed signals were manually flagged and excluded from further analysis. Such cases included for example unstable signals without a distinctly discernible, steady slope, which are not clearly interpretable, or signals obviously disturbed by leakage. The total quantity of measurements is shown in Table 1.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e797">Number of light (NEE) and dark (<inline-formula><mml:math id="M40" 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 for each chamber site and total number of measurement days that passed the quality screening. The lower data coverage of UGR-2 reflects the distribution of raw data collected and is not related to data quality screening. </p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">UGR-1</oasis:entry>
         <oasis:entry colname="col3">UGR-2</oasis:entry>
         <oasis:entry colname="col4">GR-1</oasis:entry>
         <oasis:entry colname="col5">GR-2</oasis:entry>
         <oasis:entry colname="col6">GR-3</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Light</oasis:entry>
         <oasis:entry colname="col2">77</oasis:entry>
         <oasis:entry colname="col3">40</oasis:entry>
         <oasis:entry colname="col4">77</oasis:entry>
         <oasis:entry colname="col5">71</oasis:entry>
         <oasis:entry colname="col6">68</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Dark</oasis:entry>
         <oasis:entry colname="col2">45</oasis:entry>
         <oasis:entry colname="col3">27</oasis:entry>
         <oasis:entry colname="col4">46</oasis:entry>
         <oasis:entry colname="col5">42</oasis:entry>
         <oasis:entry colname="col6">41</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Days</oasis:entry>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">4</oasis:entry>
         <oasis:entry colname="col4">9</oasis:entry>
         <oasis:entry colname="col5">9</oasis:entry>
         <oasis:entry colname="col6">9</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e922"><?xmltex \hack{\newpage}?>The median slope (<inline-formula><mml:math id="M41" display="inline"><mml:mover accent="true"><mml:mi>a</mml:mi><mml:mo stretchy="true" mathvariant="normal">^</mml:mo></mml:mover></mml:math></inline-formula>) of greenhouse gas concentration change over time was transformed to a flux using the following formula:
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M42" display="block"><mml:mrow><mml:mi mathvariant="normal">flux</mml:mi><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mi>a</mml:mi><mml:mo mathvariant="normal" stretchy="true">^</mml:mo></mml:mover><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">ch</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">ch</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:msub><mml:mi>p</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:mi>R</mml:mi><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">ch</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">ch</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the volume and surface area of the chamber, respectively. <inline-formula><mml:math id="M45" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the ideal gas constant (8.3144 J K<inline-formula><mml:math id="M46" 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> mol<inline-formula><mml:math id="M47" 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="M48" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are the mean air temperature (K) and pressure (Pa) inside the chosen interval. Fluxes are derived in units of <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol C–<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> m<inline-formula><mml:math id="M52" 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="M53" 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 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol C–<inline-formula><mml:math id="M55" 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> m<inline-formula><mml:math id="M56" 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="M57" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively.</p>
      <p id="d1e1147">While fluxes of <inline-formula><mml:math id="M58" 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 could be calculated based on dark and light chamber measurements, respectively, the photosynthetic uptake portion of the flux (GPP) was calculated as the difference between measured NEE and the mean of measured <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for one measurement. The root mean square error (RMSE) of each flux measurement was calculated using all bootstrapped slopes, distinguishing between <inline-formula><mml:math id="M60" 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 measurements. The slope error for GPP was taken as the summed errors in <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> and NEE measurements. Error values are given in Table B1 in the Appendix.</p>
      <p id="d1e1194">To analyze the implications of the grazing disturbance on net <inline-formula><mml:math id="M62" 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 <inline-formula><mml:math id="M63" 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> exchange across the sites, the time series of flux estimates for each plot was interpolated across the entire measurement period of 17 d at a resolution of 10 min. Both <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> and <inline-formula><mml:math id="M65" 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> fluxes were interpolated using empirical plot-specific linear models linking flux rates to environmental parameters (<inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and SM). Parameters minimizing the fit uncertainty were not uniform across plots even at one site (see Appendix B for an exact description of this approach, including the derivation of formulas, and Sect. 4.2 for evaluation).
The following formulas were derived to interpolate <inline-formula><mml:math id="M68" 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="M69" 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> fluxes:
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M70" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">GR</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">GR</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi mathvariant="normal">exp</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:msub><mml:mi>T</mml:mi><mml:mtext>Soil, 5 cm</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SM</mml:mi><mml:mtext>7.5 cm</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M71" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">GR</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">UGR</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="normal">UGR</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">exp</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>F</mml:mi><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:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">UGR</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">exp</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:msub><mml:mi>T</mml:mi><mml:mtext>Soil, 15 cm</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>F</mml:mi><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:msub><mml:mo>(</mml:mo><mml:mi mathvariant="normal">GR</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:msub><mml:mi>T</mml:mi><mml:mtext>Soil, 25 cm</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SM</mml:mi><mml:mtext>15 cm</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            In each formula, <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the slope of the first applied model, and <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is that of the second. <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are corresponding intercepts. Total errors for all fluxes were derived considering the standard error from the final model compared to observed values (linear regression), further considering the standard error from the bootstrapping approach used to transform measured concentration slopes into fluxes and the standard error from modeled <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (for <inline-formula><mml:math id="M77" 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="M78" 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> fluxes). A detailed error calculation is shown in Appendix B3.</p>
      <p id="d1e1636">GPP was modeled as a function of PAR, using a rectangular hyperbolic function <xref ref-type="bibr" rid="bib1.bibx68" id="paren.35"/>.
            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M79" display="block"><mml:mrow><mml:mi mathvariant="normal">GPP</mml:mi><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:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">max</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">PAR</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>
          The fit parameters <inline-formula><mml:math id="M80" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> represent the initial canopy quantum efficiency (the initial slope of the GPP–PAR curve at PAR = 0) and the maximum canopy photosynthetic potential, respectively, the latter of which is the hypothetical maximum of GPP at infinite PAR. Both <inline-formula><mml:math id="M82" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are assumed to have positive values, necessitating the negative sign on the equation's right-hand side to allow GPP to fit the NEE sign convention. In this context, positive fluxes imply carbon losses from the ecosystem into the atmosphere. This model contains the explicit assumption that GPP is insensitive to light stress or temperature effects <xref ref-type="bibr" rid="bib1.bibx68" id="paren.36"/>. For each site, <inline-formula><mml:math id="M84" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M85" 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 determined by fitting PAR against the GPP fluxes from chamber measurements and applying a non-linear least-squares (nls) optimization. Implausible PAR values from chamber measurements were  replaced by PAR derived from the net radiometer measurements. With these parameters, a continuous GPP time series could be modeled for the entire observation period.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Statistics</title>
      <p id="d1e1745">To visualize and compare carbon fluxes between plots and study sites, daily means for GPP, <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, NEE and <inline-formula><mml:math id="M87" 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> fluxes were calculated. Prior to post hoc pairwise <inline-formula><mml:math id="M88" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> tests and a correction of <inline-formula><mml:math id="M89" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values with Holm's method <xref ref-type="bibr" rid="bib1.bibx34" id="paren.37"/>, a repeated measures ANOVA was conducted using the package “ez” in R <xref ref-type="bibr" rid="bib1.bibx48" id="paren.38"/>; herein the approach is based on <xref ref-type="bibr" rid="bib1.bibx3" id="text.39"/> and <xref ref-type="bibr" rid="bib1.bibx25" id="text.40"/>.  In this way, we can provide evidence that the measurements were independent between days and can correct the results of the pairwise comparisons for multiplicity problems. Statistics and further explanations are given in Appendix B3. This approach was used to analyze fluxes, soil temperatures and radiation (i.e., upwelling and downwelling shortwave radiation) measurements.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Environmental conditions and ecosystem characteristics</title>
<sec id="Ch1.S3.SS1.SSS1">
  <label>3.1.1</label><title>Albedo and energy fluxes</title>
      <p id="d1e1820">Linked to the differences in vegetation community structure described in Sect. 2, the average daily albedo was slightly higher at GR, with an average value of <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.217</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.008</mml:mn></mml:mrow></mml:math></inline-formula>, compared to the UGR (<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.192</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.006</mml:mn></mml:mrow></mml:math></inline-formula>). The difference between SW<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:math></inline-formula> (downwelling shortwave radiation) between sites was insignificant (<inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.23</mml:mn></mml:mrow></mml:math></inline-formula>), while the difference between SW<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">u</mml:mi></mml:msub></mml:math></inline-formula> (upwelling shortwave radiation) was significant (<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>). This enhanced reflectivity of the surface increased the upward-directed shortwave radiation by an average of <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.8</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M97" 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> over the course of the observation period (mean SW<inline-formula><mml:math id="M98" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">u</mml:mi></mml:msub></mml:math></inline-formula> for GR, <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mn mathvariant="normal">48.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13.9</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M100" 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>; for UGR, <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mn mathvariant="normal">42.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13.0</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M102" 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 effect reducing the net radiative energy available to the grazed ecosystem.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <label>3.1.2</label><title>Soil moisture</title>
      <p id="d1e1980">Soil hydrologic conditions were distinctly different between grazed and ungrazed sites. At the beginning of the observation period, both sites were primarily waterlogged since the water levels from the preceding spring flooding had not fully receded. From this starting point, we observed deviating temporal dynamics in drying between both ecosystems during the peak of the growing season. Water levels declined only marginally, or not at all, within the ungrazed reference area, with water levels remaining above the ground. Soil moisture at the grazed ecosystem (GR), on the other hand, gradually decreased across all measured depths over the period of observation, especially in the topsoil (SM<inline-formula><mml:math id="M103" display="inline"><mml:msub><mml:mi/><mml:mtext>7.5 cm</mml:mtext></mml:msub></mml:math></inline-formula>, 63.1 %–49.9 %; SM<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mtext>15 cm</mml:mtext></mml:msub></mml:math></inline-formula>, 64.3 %–54.2 %; SM<inline-formula><mml:math id="M105" display="inline"><mml:msub><mml:mi/><mml:mtext>30 cm</mml:mtext></mml:msub></mml:math></inline-formula>, 60.7 %–56.7 %, changes from the first to the last measurement day).</p>
</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <label>3.1.3</label><title>Air and soil temperatures</title>
      <p id="d1e2018">A change in the general weather pattern around mid-July 2019 split our observation period roughly into a warm and sunny first half, and a cool and cloudy second half. Regarding the mean air temperatures, during the first period (7–15 July), daily average <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> ranged between 14.3–26.9 <inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, while conditions during the second period (16–22 July) were much cooler (6.9–10.9 <inline-formula><mml:math id="M108" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). Mean air temperatures at the grazed site were observed to be about 1 <inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warmer compared to the ungrazed site, with similar daily minima, while daily maxima were distinctly higher at GR.</p>
      <p id="d1e2059">The trends in soil temperatures matched those described for air temperature: while <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> across the observed vertical profile was rising during the first part of the observation period, in the second half it declined (see also Fig. 1). We found topsoil temperatures at 5 cm depth at the grazed site (GR max 19.6 <inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, min 9.0 <inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) to be significantly higher (<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>) compared to the ungrazed reference (UGR-1 max 15.4 <inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, min 5.6 <inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C; UGR-2 max 11.6 <inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, min 4.3 <inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) during the whole observation period. Fitting interpolation equations to the observational data also revealed that the time lag of <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> reacting to <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was 1 order of magnitude shorter at GR – moving averages of air temperatures explaining <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 5 cm showed best fits when integrated over the last 4.3 h at GR, while they reached back 40.7 h at UGR-1 and even 86.7 h at UGR-2.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e2175"><bold>(a)</bold> Soil temperature (<inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) at GR, UGR-1 and UGR-2 at 5 and 35 cm depth. The interpolation model of <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 35 cm at UGR-2 (*) is not based on a significant fit but follows the expected course closely and is therefore included here for overview. <bold>(b)</bold> Evolution of thaw depths at all plots.</p></caption>
            <?xmltex \igopts{width=298.753937pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/1611/2022/bg-19-1611-2022-f01.png"/>

          </fig>

      <p id="d1e2212">In the deeper soil layers (15, 25, 35 cm), the temperatures at the UGR-2 site were consistently lower than observed at all other sites (GR, UGR-1). Comparing observations from GR and UGR-1 sites showed similar average soil temperatures during the first week, while during the second week soils became warmer for the drier grazed site. Notably, <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> values at 35 and 25 cm at GR were lower compared to UGR-1 during the first measurement days, but due to a steeper warming rate at the grazed site, this changed after 5 d into the observations.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS4">
  <label>3.1.4</label><title>Thaw depths</title>
      <p id="d1e2234">Measured thaw depths were greater at all GR sites compared to all UGR sites throughout the observation period: while the values within the ungrazed reference area varied between 31–36 cm over time and across sites, that range was 39–58 cm at the grazed site. Importantly, the temporal dynamics as well as the variability across sites also differed strongly between these two study areas. At UGR, the average increase in thaw depths was 0.25 cm d<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> during the observation period. Even though both observation plots were situated about 50 m apart, conditions were fairly uniform between them, and thaw depths did not differ by more than 2 cm. In contrast, the GR sites showed a higher average thaw depth increase (0.91 cm d<inline-formula><mml:math id="M125" 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>). Differences in measurements between plots reached up to 11 cm, even though sites were only separated by about 3 m and vegetation and soil conditions seemed similar.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Carbon fluxes</title>
      <p id="d1e2270">All interpolation models described in Sect. 2.4 yielded a significant linear regression fit between observed and calculated values (for details, see Table 2).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e2276"><inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M127" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values for linear regressions between final modeled fluxes and measured fluxes at ungrazed (UGR) and grazed (GR) sites.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Plot</oasis:entry>
         <oasis:entry colname="col2">GPP</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M133" 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="col4">NEE</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M134" 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></oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">UGR-1</oasis:entry>
         <oasis:entry colname="col2">0.82****</oasis:entry>
         <oasis:entry colname="col3">0.90****</oasis:entry>
         <oasis:entry colname="col4">0.84****</oasis:entry>
         <oasis:entry colname="col5">0.84****</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UGR-2</oasis:entry>
         <oasis:entry colname="col2">0.11*</oasis:entry>
         <oasis:entry colname="col3">0.88****</oasis:entry>
         <oasis:entry colname="col4">0.49****</oasis:entry>
         <oasis:entry colname="col5">0.93****</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR-1</oasis:entry>
         <oasis:entry colname="col2">0.87****</oasis:entry>
         <oasis:entry colname="col3">0.86****</oasis:entry>
         <oasis:entry colname="col4">0.76****</oasis:entry>
         <oasis:entry colname="col5">0.84****</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR-2</oasis:entry>
         <oasis:entry colname="col2">0.73****</oasis:entry>
         <oasis:entry colname="col3">0.44****</oasis:entry>
         <oasis:entry colname="col4">0.61****</oasis:entry>
         <oasis:entry colname="col5">0.93****</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR-3</oasis:entry>
         <oasis:entry colname="col2">0.81****</oasis:entry>
         <oasis:entry colname="col3">0.85****</oasis:entry>
         <oasis:entry colname="col4">0.80****</oasis:entry>
         <oasis:entry colname="col5">0.88****</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e2296">****, ***, **, * and ns indicate <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M129" 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>, <inline-formula><mml:math id="M130" 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>, <inline-formula><mml:math id="M131" 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>, <inline-formula><mml:math id="M132" 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> and non-significant, respectively.</p></table-wrap-foot></table-wrap>

<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><?xmltex \opttitle{{$\protect\chem{CO_{{2}}}$} fluxes}?><title><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> fluxes</title>
      <p id="d1e2545">As reflected in the strong enhancement in both component fluxes of NEE, i.e., GPP and <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, the carbon turnover rates in the grazed ecosystem increased as a response to the warmer and drier conditions in the topsoil layers (see Fig. A1). Regarding photosynthetic uptake of <inline-formula><mml:math id="M137" 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>, the average GPP was significantly higher at GR compared to UGR (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>; see Fig. 2). While all three GR plots show higher GPP compared to the UGR sites, the difference in average GPP between the sites is dominated by differences between the greater fluxes at plot GR-2 and lower fluxes at UGR-2, while differences between GR-1, GR-3 and UGR-1 were significant (at least with the
pairwise <inline-formula><mml:math id="M139" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> tests used) but rather small to negligible.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2591">Overview of C fluxes at all chamber plots from 7 to 21 July. Differing letters indicate significant differences between plots (<inline-formula><mml:math id="M140" 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>; please also see Table B3 for details). Overall (site average), NEE did not differ significantly between GR and UGR, while GPP and <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were significantly larger at GR. Daily average <inline-formula><mml:math id="M142" 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> emissions at grazed plots strongly decrease over time, leading to a substantial net reduction in methane emissions at the GR plots, compared to the UGR reference.</p></caption>
            <?xmltex \igopts{width=298.753937pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/1611/2022/bg-19-1611-2022-f02.png"/>

          </fig>

      <p id="d1e2634">Across the entire measurement period, ecosystem respiration <inline-formula><mml:math id="M143" 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 distinctly higher at GR compared to UGR. In this case, site differences were more consistent; i.e., differences in flux rates between plots for each site were minor. Greater <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and decreasing SM were identified as the main controls for the higher <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> at the GR sites, except for GR-3 where <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> did not increase in response to drying. Possible reasons for that are discussed in Sect. 4.2.</p>
      <p id="d1e2682">For NEE, the observed differences in both GPP and <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> canceled out, resulting in no significant changes in NEE as a function of grazing disturbance. Temporal dynamics in NEE largely matched each other across sites, including a decrease in net uptake rates during the first and warmer week of the observation period and an increased uptake during the subsequent, cooler days. GR-2 was found to be the strongest carbon sink in the first period, while NEE at UGR-1 was largest during the second. Overall, all sites were consistent sinks for atmospheric <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> during the observation period.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><?xmltex \opttitle{{$\protect\chem{CH_{{4}}}$} fluxes}?><title><inline-formula><mml:math id="M149" 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> fluxes</title>
      <p id="d1e2727">We observed strong variations in <inline-formula><mml:math id="M150" 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> fluxes between the plots at GR and UGR sites. While flux rates at both GR and UGR were similarly large at the beginning of the experiment, average <inline-formula><mml:math id="M151" 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> fluxes at GR plots started to decline within the first week of observation, in close correlation with decreasing soil moisture. In contrast, the high water table at UGR facilitated high <inline-formula><mml:math id="M152" 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> fluxes throughout the observation period, and changes in time were mostly connected to changes in soil temperatures.</p>
      <p id="d1e2763">At both sites, the variability in <inline-formula><mml:math id="M153" 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> fluxes across plots for each site was larger compared to the <inline-formula><mml:math id="M154" 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. Particularly for GR, flux estimates even between closely co-located plots changed from virtually zero to rates similar to those found at the ungrazed site. Fluxes at GR-3 were smallest throughout the observation period. During the first days of the experiment, characterized by high soil moisture, <inline-formula><mml:math id="M155" 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> emissions at GR-1 and UGR-2 were largest, while in the second period, when soils at GR dried, they were largest at UGR-2 and UGR-1.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Assessing the quality of flux chamber measurements</title>
      <p id="d1e2816">The application of flux chambers may lead to biases in the ecosystem fluxes themselves <xref ref-type="bibr" rid="bib1.bibx42" id="paren.41"/>.
Installing collars in the ground before starting the experiment, while necessary to prevent leaking of air, can disturb the soil and plant roots. At Pleistocene Park, we had to cut a shallow slit in the ground to be able to tightly fit in collars. In a long-term study assessing both chamber and eddy-covariance fluxes conducted in the Alaskan tundra, disturbing roots and soil when the chamber was set up was shown to have a depressing effect on both <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, to a stronger extent, GPP. The chamber fluxes only caught up with the eddy-covariance fluxes a few years after installing the chambers, most likely linked to a regeneration of belowground structures after the initial disturbance <xref ref-type="bibr" rid="bib1.bibx10" id="paren.42"/>. In the case of our study, the collars at UGR had already been installed 6 years before the start of the experiment, and accordingly the disturbance effect should have been negligible. In contrast, installation artifacts are likely at GR, where collars were only installed days before starting the 2019 measurement campaign, potentially leading to underestimated fluxes, mainly considering GPP. The observed enhancement in both GPP and <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> following drainage may therefore be a conservative finding. A net effect on the derived shifts in NEE is also possible, since GPP and <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> can be affected in different ways, but a quantification of the potential bias cannot be performed without a longer-term observational dataset.</p>
      <p id="d1e2858">Another important aspect concerning representativeness of chamber-based carbon flux measurements is small-scale heterogeneity in the ecosystem, which may exist even within plots that are seemingly homogeneous. This heterogeneity is observable at sub-meter scales and can be a result of disturbances by soil fauna, pockets of fine-root proliferation, moisture gradients, freeze–thaw dynamics, spatial structures in vegetation distribution such as those introduced by tussock-forming plants or remnants of decaying organic matter <xref ref-type="bibr" rid="bib1.bibx18" id="paren.43"/>. In the Arctic tundra, this small-scale heterogeneity is common <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx88" id="paren.44"/> and is, e.g., reflected by variations in soil temperature, soil moisture and thaw depths. To account for it in flux uncertainties, more than one chamber is needed to adequately assess the mean and variance of surface–atmosphere exchange fluxes <xref ref-type="bibr" rid="bib1.bibx18" id="paren.45"/>. At UGR, spatial variability in carbon fluxes and environmental conditions was analyzed in detail along a transect of 10 flux chamber plots in a previous study <xref ref-type="bibr" rid="bib1.bibx43" id="paren.46"/>, including a description of the vegetation community structure and hydrologic status at each plot. Based on these findings, we selected two positions for the presented study (IDs 2-0, 2-2) which best represent the vegetation composition of a waterlogged tussock tundra that dominated the grazed site before the Pleistocene Park experiment was started in the 1990s. At GR, the relatively low number of plots available for this study, combined with the lack of previous studies within the area, implies that a larger-scale representativeness of this part of the dataset cannot be validated. In combination with the short temporal coverage, the GR dataset should therefore be regarded as a snapshot in both space and time, demonstrating that there is the potential for significant changes in carbon cycle processes following grazing disturbance in permafrost wetlands while not necessarily providing representative flux quantification for a larger domain. As a guideline to evaluate the captured variability across plots, coefficients of variance (CVs) can be computed. CVs of <inline-formula><mml:math id="M159" 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 in seemingly homogeneous ecosystems typically range around 30 % and reach higher values for <inline-formula><mml:math id="M160" 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> fluxes, which tend to be more location-specific <xref ref-type="bibr" rid="bib1.bibx18" id="paren.47"/>. For our study, the CV for <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> at GR was 11 % but reached 20 % at UGR. For <inline-formula><mml:math id="M162" 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>, CVs were 77 % and 32 %, respectively. The characteristics found in our dataset are therefore generally in line with findings presented by <xref ref-type="bibr" rid="bib1.bibx18" id="text.48"/>, with the low CVs for <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> potentially linked to the relatively low number of plots observed. However, one has to keep in mind that the GR sites feature more plots than UGR and also a higher number of observations, both of which may influence a comparison of derived CVs.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Environmental parameters controlling carbon fluxes – implications for interpolation</title>
      <p id="d1e2943">Generally, <inline-formula><mml:math id="M164" 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 wet tundra and peatlands is enhanced by warmer temperatures due to increased microbial activity <xref ref-type="bibr" rid="bib1.bibx78 bib1.bibx2 bib1.bibx43" id="paren.49"/>, and it may also increase due to drying, with increased potential for aerobic respiration <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx41 bib1.bibx43" id="paren.50"/>. Identifying and comparing the controls for <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> resulted in different equations across the GR and UGR sites, linked to the fact that their vegetation and soil structures differed, as described in detail below.</p>
      <p id="d1e2974">The GR site is a flat meadow with dense grass tillers, some decaying tussocks, and relatively dry and warm soils. At UGR, soils are waterlogged and interspersed with tussocks raised above the water level, and the relatively cool, wet soils are covered by a thick organic layer. These differences justify the use of different sets of controls to explain temporal variability in <inline-formula><mml:math id="M166" 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 UGR, we used only <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as a driver for interpolating <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, since the water table was constantly above the ground, and accordingly fluctuations in soil moisture were ruled out. At GR, we used <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 5 cm and SM at 7.5 cm instead to explain variability in <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. Our choice is in line with other studies correlating <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and SM with <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx35" id="paren.51"/>. Here it is important to remember that we had only one set of instruments to measure <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and SM at GR. However, thaw depths and <inline-formula><mml:math id="M174" 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> fluxes (an indicator for wet/anaerobic conditions; <xref ref-type="bibr" rid="bib1.bibx43" id="altparen.52"/>) at the grazed plots varied strongly at this small scale. Therefore, we concluded that the measured soil conditions are not fully representative across the three sub-plots. For that reason, at <?xmltex \hack{\mbox\bgroup}?>GR-3<?xmltex \hack{\egroup}?> <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was also used to interpolate <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>, since the coefficient of determination was much higher compared to that of <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. No statistical relationship between <inline-formula><mml:math id="M178" 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 SM could be found for this plot.</p>
      <p id="d1e3132">Also <inline-formula><mml:math id="M179" 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> fluxes varied strongly between GR plots, being highest at GR-1 and lowest at GR-3. Principally, high <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and water-saturated conditions promote a high <inline-formula><mml:math id="M181" 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> release <xref ref-type="bibr" rid="bib1.bibx44" id="paren.53"/>. We observed an almost continuous cooling trend from warm to cold across the whole observation period. At the same time, soil moisture also continuously decreased. Therefore, high SM was always accompanied by high <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and low SM by low <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. This made it difficult to disentangle their effects on <inline-formula><mml:math id="M184" 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> fluxes.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Chamber fluxes in Arctic tundra ecosystems</title>
      <p id="d1e3213">Estimates of carbon fluxes obtained by chamber measurements in this study cover a similar range compared to recent reference studies related to grazing in the Arctic tundra (see Table 4). Still, when directly comparing the results between studies, one has to keep in mind inter- and intra-annual variability in environmental conditions and therefore also in carbon fluxes, which are highly pronounced in tundra ecosystems <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx22" id="paren.54"/>. Differences in experimental approaches regarding how to assess and display the fluxes further aggravate the comparison of fluxes across studies. Furthermore, many studies cover longer timescales compared to this study.</p>
      <p id="d1e3219">Values presented by <xref ref-type="bibr" rid="bib1.bibx43" id="text.55"/>, obtained during flux chamber campaigns from the period 2013–2015 at the Ambolikha site that served as the UGR reference within the context of the presented study, largely agree with our findings. A wet <italic>Carex</italic> meadow (grazed by geese) in a subarctic coastal tundra showed very similar values compared to values at UGR <xref ref-type="bibr" rid="bib1.bibx37" id="paren.56"/>. Most of the other studies displayed in Table 3 were conducted in the high Arctic; therefore flux magnitudes are expected to be lower compared to our study <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx22 bib1.bibx17" id="paren.57"/>. <xref ref-type="bibr" rid="bib1.bibx22" id="text.58"/> observed similar patterns  concerning the amplification of both GPP and <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as a response to grazing compared to our study for a wet tundra ecosystem. However, we are not aware of studies examining carbon fluxes on a similar type of grazed ecosystem to that at Pleistocene Park, in corresponding climatic conditions.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e3252">Mean daily C fluxes for each chamber site (total SE in brackets). Values 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>mol C 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>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Plot</oasis:entry>
         <oasis:entry colname="col2">GPP</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M189" 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="col4">NEE</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M190" 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></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">UGR-1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M191" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.55(<inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.80</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">3.67(<inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.46</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M194" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.88(<inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.26</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">0.15(<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.014</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UGR-2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M197" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.82(<inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.44</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">2.58(<inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.58</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M200" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.24(<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.02</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">0.22(<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.015</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">UGR avg</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M203" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.19(<inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.12</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">3.13(<inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.02</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M206" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.06(<inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.14</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">0.18(<inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.015</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR-1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M209" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.30<inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.03</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">7.42(<inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.31</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M212" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.88(<inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.34</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">0.17(<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.049</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR-2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M215" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.60(<inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.94</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">7.66(<inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.64</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M218" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.95(<inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.58</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">0.10(<inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.023</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR-3</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M221" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.26(<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.48</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">6.17(<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.97</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M224" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.08(<inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.55</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">0.02(<inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.008</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR avg</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M227" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.06(<inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.48</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">7.09(<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.31</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M230" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.97(<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.82</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">0.10(<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.028</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e3842">Comparison of mean growing-season fluxes (chamber measurements) in recent studies. Values in  <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol C m<inline-formula><mml:math id="M234" 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="M235" 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="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry colname="col2">GPP</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M237" 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="col4">NEE</oasis:entry>
         <oasis:entry colname="col5">Ecotype</oasis:entry>
         <oasis:entry colname="col6">Reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">2019</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M238" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.06(<inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.48</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">7.09(<inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.31</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M241" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.97(<inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.59</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">wet tussock tundra  (GR, grazed)</oasis:entry>
         <oasis:entry colname="col6">this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2019</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M243" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.19(<inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.12</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">3.13(<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.02</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M246" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.06(<inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.14</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">wet tussock tundra (UGR, ungrazed)</oasis:entry>
         <oasis:entry colname="col6">this study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M248" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.32(<inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">3.15(<inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M251" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.15(<inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">wet tussock tundra (drained<inline-formula><mml:math id="M253" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">Kwon et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2014</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M254" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.98(<inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">3.84(<inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.20</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M257" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.14(<inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.17</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">wet tussock tundra (control<inline-formula><mml:math id="M259" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col6">Kwon et al. (2016)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2016</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M260" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.17(<inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.33</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">5.54</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M262" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.63(<inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.33</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">grazed wet <italic>Carex</italic> meadow</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx37" id="text.59"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2016</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M264" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.26(<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.61</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">2.69(<inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.26</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M267" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.60(<inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.56</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">high Arctic tundra</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx17" id="text.60"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2012</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M269" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.67(<inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">1.91(<inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M272" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.73(<inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.26</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">arctic mire, grazed</oasis:entry>
         <oasis:entry colname="col6">Falk et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2012</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M274" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.28(<inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.34</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">1.67(<inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.076</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M277" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.53(<inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.26</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">arctic mire grazing exclosure</oasis:entry>
         <oasis:entry colname="col6">Falk et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2013</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M279" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.91(<inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">2.43(<inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M282" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.47(<inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">arctic mire, grazed</oasis:entry>
         <oasis:entry colname="col6">Falk et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2013</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M284" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.07(<inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">2.29(<inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M287" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.78(<inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.16</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">arctic mire, grazing exclosure</oasis:entry>
         <oasis:entry colname="col6">Falk et al. (2015)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2015</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M289" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.47(<inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.26</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">1.14(<inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M292" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.33(<inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.15</mml:mn></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">ungrazed high Arctic tundra</oasis:entry>
         <oasis:entry colname="col6">Cassidy et al. (2016)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e3877"><inline-formula><mml:math id="M236" display="inline"><mml:msup><mml:mi/><mml:mo>*</mml:mo></mml:msup></mml:math></inline-formula> Indicates  sites in the same area as UGR in this study.</p></table-wrap-foot></table-wrap>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Grazing impacts on vegetation and albedo at Pleistocene Park</title>
      <p id="d1e4675">Grazing by large herbivores had a number of obvious impacts on the vegetation in Pleistocene Park. However, one issue that complicates the attribution of the herbivore influence on the vegetation is the year-long human disturbance by the park operations, such as operation of vehicles or feeding animals in winter. While this influence is mostly restricted to selected areas and transects across the park and no major direct impact was apparent for the study plots used within the context of this study, one cannot completely disentangle the impacts of anthropogenic and grazing disturbances. Another issue that needs to be considered when interpreting the presented intercomparison of GR and UGR sites is potential differences in site characteristics that were already present before grazing management in the Pleistocene Park areas started. Lacking pre-treatment flux datasets for both sites, the only reference that is available is the similar appearance of both GR and UGR sites in photographs from the early 2000s, i.e., a time when ecosystem transformation due to grazing was still in an initial stage. Accordingly, while the differences in aboveground ecosystem characteristics described below can clearly be attributed to grazing pressure over the past 2 decades, the highlighted differences in carbon fluxes may at least partially have been present in the pre-treatment state. While unlikely to affect the qualitative tendencies of higher carbon turnover and reduced methane emissions, this potential systematic bias clearly needs to be considered when evaluating and interpreting the flux numbers.</p>
      <p id="d1e4678">Around our chamber site at GR, almost all sedge tussocks were in a state of decay or had disappeared nearly completely. In place of them or between their remnants, many single plant tillers (mainly <italic>Carex</italic> spp. and <italic>Calamagrostis langsdorfii</italic>) grew. These apparent changes in soil and vegetation properties in Pleistocene Park are in accordance with previously reported observations documenting grazing impacts. For example, the transformation from tussocks to grass mats by grazing, accompanied by a strong increase in belowground biomass, has already been observed for montane biomes <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx64" id="paren.61"/>. Some sedges found in Arctic environments, such as <italic>Carex aquatilis</italic>, were shown to benefit from muskox grazing, since they feature strong root production and the ability to produce dense grass tillers and therefore more easily recover from grazing <xref ref-type="bibr" rid="bib1.bibx65 bib1.bibx39" id="paren.62"/>. This ability gives them an advantage over other species <xref ref-type="bibr" rid="bib1.bibx77" id="paren.63"/>, leading to a more turf-like vegetation structure that gradually replaces the original plant community.</p>
      <p id="d1e4700">Fertilization of tundra ecosystems through available nutrients from urine and faeces also influences vegetation communities under grazing pressure <xref ref-type="bibr" rid="bib1.bibx65 bib1.bibx66" id="paren.64"/>. Accelerated urea-nutrient uptake by living plants has been reported for upland tundra <xref ref-type="bibr" rid="bib1.bibx4" id="paren.65"/>, where graminoids were more efficient in using these resources compared to shrubs. At ungrazed sites such as UGR, the aboveground parts of the plant die off, wither and accumulate on the topsoil, where they rot slowly, leading to a thick organic layer <xref ref-type="bibr" rid="bib1.bibx43" id="paren.66"/>. In comparison, at grazed sites such as GR, the plant shoots were regularly removed by the animals, resulting in reduced litter accumulation. Linked to the same effect, valleys in the Canadian Arctic which are regularly grazed by muskoxen give the impression of a productive meadow, while ungrazed sites in the same region appear overgrown and rather nutrient starved <xref ref-type="bibr" rid="bib1.bibx66" id="paren.67"/>. Similar effects were observed by <xref ref-type="bibr" rid="bib1.bibx22" id="text.68"/>, where excluding muskoxen from an Arctic mire decreased the number of plant tillers and increased litter and moss cover. In both upland and lowland tundra ecosystems, herbivores, mostly reindeer or muskoxen, have been shown to reduce moss cover and decrease shrub cover by trampling and browsing, promoting the expansion of graminoids <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx50 bib1.bibx60 bib1.bibx85 bib1.bibx22" id="paren.69"/>. Landscapes covered by graminoids usually have a higher albedo compared to shrub-covered ones <xref ref-type="bibr" rid="bib1.bibx76 bib1.bibx13" id="paren.70"/>. Accordingly, herbivore grazing can systematically increase the surface reflectivity and therefore reduce ecosystem energy input. This observation agrees with our results, which show a significantly higher albedo at GR compared to UGR.
Within Pleistocene Park, we are confident that in more shrubby, heavily browsed upland tundra and taiga areas, the increase in albedo following the grazing impact is even more pronounced due to the expansion of graminoids. Since the grazing history of about 22 years at Pleistocene Park is still relatively short, the ecosystem is most probably still in a transition state. We therefore expect further changes in vegetation community structure over the coming decades, given a persistent grazing pressure, i.e., a further condensing of the grass mat and accordingly increased tiller formation and living belowground biomass. Denser grass cover is likely to further enhance the albedo and will also more effectively shade the soil surface. In the long term, both effects should therefore contribute to altering the energy budget, potentially leading to a cooling of shallow soil layers (see also below).</p>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><title>Grazing impacts on soil properties</title>
      <p id="d1e4734">We found overall <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, especially in the topsoil, to be higher at the grazed sites, as well as temperature gradients to be steeper and thaw depths to be greater. At the same time, GR was relatively dry compared to UGR, where the water table was above the ground throughout our observation period. Ultimately, <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 5 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at GR reacted 1 order of magnitude faster to changes in <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> compared to UGR-1 and UGR-2.
Overall, we suggest there were two processes dominating how grazing pressure transformed the soil at GR: compacting the soil by trampling the organic peat layer (plus related effects on vegetation) and the reduction in soil moisture.
A long-term drainage experiment conducted at UGR demonstrated that the topsoil peat layer can strongly influence the soil thermal regime within tundra ecosystems <xref ref-type="bibr" rid="bib1.bibx27" id="paren.71"/>. When drying out the organic layer, it warms up faster but poorly conducts the heat to deeper soil layers <xref ref-type="bibr" rid="bib1.bibx43" id="paren.72"/>. When this peat layer is trampled by herbivores, as observed at GR, the soil thermal regime may be significantly modified, with effects on both  thermal conductivity and diffusivity.</p>
      <p id="d1e4776">A reduction in soil moisture, which was observed at GR, generally leads to a decrease in thermal conductivity and heat capacity in organic soils <xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx43" id="paren.73"/>. Since the warming of the soil was stronger overall at GR, the effects of lower water content on reducing the soil heat capacity along with the higher conductivity caused by topsoil compaction may have taken over as the dominant control.
Accordingly, higher temperatures and temperature fluctuations are likely, since less energy is needed to warm up the soil and increase thaw depths. In previous studies, trampling and grazing in the tundra were already shown to lead to the diminishing of the organic litter/moss layer on the topsoil, a decrease in shading by shrubs, and consequently higher soil temperatures and more compact soils <xref ref-type="bibr" rid="bib1.bibx85 bib1.bibx61 bib1.bibx62 bib1.bibx76 bib1.bibx22" id="paren.74"/>. The important role of soil moisture conditions is also highlighted in the results by Windirsch et al. (2021), who investigated places with different grazing pressure within the same thermokarst basin in Pleistocene Park as where our GR sites were located. The drier locations showed a deeper thaw depth in their study, even though the grazing pressure at these sites was actually lower. In accordance with <xref ref-type="bibr" rid="bib1.bibx81" id="text.75"/>, we therefore conclude that both grazing pressure and soil moisture differences have the potential to substantially influence soil properties, and their co-existing influence needs to be tested in further experiments.</p>
      <p id="d1e4788">The lower soil moisture observed at GR can be linked to an increase in evapotranspiration. The transpiration rate correlates with observed stronger photosynthetic activity (i.e., GPP) due to the adjustment of stomatal conductance to match the biochemical potential for photosynthesis <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx24" id="paren.76"/>. Additionally, evaporation increases due to a decrease in litter as a result of grazing <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx19" id="paren.77"/>. Accordingly, a decline in soil moisture is reported for tundra ecosystems under grazing influence <xref ref-type="bibr" rid="bib1.bibx85" id="paren.78"/> and also for other grazed biomes <xref ref-type="bibr" rid="bib1.bibx79 bib1.bibx83 bib1.bibx46 bib1.bibx19" id="paren.79"/> where soil structural (i.e., compaction) and subsequent hydrological changes have been reported. In summary, our results for the grazed site within Pleistocene Park, which show drier soils and a higher GPP compared to UGR, agree with previous findings, emphasizing that grazing can exert strong changes in the thermal and hydrological regimes.</p>
</sec>
<sec id="Ch1.S4.SS6">
  <label>4.6</label><title>Grazing influence on carbon fluxes</title>
      <p id="d1e4811">Our findings confirm that grazing in tundra ecosystems can lead to higher <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and lower soil moisture, which is usually related to an increase in <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx84 bib1.bibx80 bib1.bibx53 bib1.bibx7" id="paren.80"/>. This increase in <inline-formula><mml:math id="M299" 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 similar in experiments studying warming and drainage effects on tundra ecosystems exclusively <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx35 bib1.bibx51 bib1.bibx59 bib1.bibx88 bib1.bibx56" id="paren.81"/>. In addition to triggering these biogeophysical shifts in soil properties, grazing was also shown to lead to faster nutrient cycling in both upland and lowland tundra ecosystems <xref ref-type="bibr" rid="bib1.bibx85 bib1.bibx61 bib1.bibx62 bib1.bibx74 bib1.bibx4 bib1.bibx66" id="paren.82"/>. Higher nutrient availability <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx84 bib1.bibx66" id="paren.83"/>, along with soil thermal and hydrological changes, might therefore be an explanation for high GPP fluxes observed in our Pleistocene Park study plots. As discussed earlier, these increases may even be more pronounced after full recovery from the disturbance inflicted by installing the chamber collars.</p>
      <p id="d1e4860">Accordingly, despite the reported increases in GPP, our experiments did not yield an enhancement in net carbon uptake by grazing, i.e., a more negative NEE, during the growing season. In contrast, in other wet Arctic graminoid communities <xref ref-type="bibr" rid="bib1.bibx22" id="paren.84"/>, NEE was greatly enhanced by grazing. In upland tundra ecosystems, however, net uptake was often lower at grazed compared to ungrazed or only lightly grazed sites. The main explanations for these shifts were either a simultaneous increase in <inline-formula><mml:math id="M300" 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 grazed sites <xref ref-type="bibr" rid="bib1.bibx84 bib1.bibx80 bib1.bibx53 bib1.bibx7" id="paren.85"/> balancing GPP gains or a decrease in GPP linked to a decrease in plant biomass and leaf area index <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx7" id="paren.86"/> following grazing.
However, at the same time grazed upland tundra exhibits stable or even increased belowground carbon storage <xref ref-type="bibr" rid="bib1.bibx85" id="paren.87"/>, indicating that decreased <inline-formula><mml:math id="M301" 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 the non-growing season possibly <?xmltex \hack{\mbox\bgroup}?>(over-)compensates<?xmltex \hack{\egroup}?> for the decreased NEE in the growing season. It can be speculated that the reported differences in ecosystem properties between grazed and non-grazed areas have further implications for carbon fluxes in the non-growing season that have not yet been studied in detail.</p>
      <p id="d1e4902">GR is an ecosystem in transition from a tussock tundra topped by a thick organic layer to a grassland with dense tillers. At the same time, the mean water table during the growing season has been lowered. These shifts may lead to a change in which soil horizon carbon is primarily accumulated, with stronger accumulation in deeper soil layers, as observed by <xref ref-type="bibr" rid="bib1.bibx32" id="text.88"/> and <xref ref-type="bibr" rid="bib1.bibx64" id="text.89"/>. The decay of the remnants of tussocks, as well as the decomposition of large carbon pools in the now drier organic topsoil, may contribute to the high ecosystem respiration rates observed. These fluxes, however, have the potential to decrease in the future, leading to decreasing rates of <inline-formula><mml:math id="M302" 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 therefore increased NEE.</p>
      <p id="d1e4922">In contrast to the current situation in most circum-Arctic ecosystems, Pleistocene Park exhibits a high diversity of herbivores that are absent from the landscape elsewhere. Previous studies have indicated that herbivore diversity leads to a more balanced use of food plants <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx12 bib1.bibx47 bib1.bibx73 bib1.bibx16" id="paren.90"/> and correlates with increased carbon uptake and soil carbon storage <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx12 bib1.bibx73" id="paren.91"/>. While such shifts have yet to be shown for permafrost ecosystems, the first observations in Pleistocene Park hint at positive long-term effects of big herbivore introduction on carbon sequestration. These insights and also questions emerging from ongoing studies call for future research concerning the influence of big herbivores on the carbon balance of permafrost ecosystems, with a focus on long-term, year-round monitoring.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e4941">In this study, we investigated the impact of long-term grazing disturbance on a previously wet tussock tundra ecosystem underlain by permafrost in the Siberian Arctic using flux chamber observations over 2.5 weeks during the growing season in summer 2019. Over the past 22 years, introduction of large herds of herbivores in the context of the so-called Pleistocene Park experiment has altered vegetation and soil properties within the affected area, in this way initiating an ongoing transformation from a waterlogged, overgrown tussock tundra towards a drier ecosystem featuring more turf-like vegetation. We compared the managed ecosystem inside Pleistocene Park to a nearby undisturbed reference site, focusing our study on differences in soil thermal and hydrological properties and how these influenced the exchange fluxes of carbon between the ecosystem and the atmosphere.</p>
      <p id="d1e4944">We measured a significantly lower albedo at the grazed site compared to the undisturbed reference, which can be mostly explained by a lower abundance of shrubs. Soil compaction as a result of trampling, in combination with higher evapotranspiration losses, led to a decrease in soil moisture. Linked to the associated reduction in soil heat capacity, topsoil temperatures in the park were higher and reacted 1 order of magnitude faster to changes in air temperatures compared to the undisturbed tundra. Due to warmer and drier conditions in the soil, both GPP and <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> during July were significantly higher at the grazed site in the park compared to an undisturbed wet tussock tundra, while no substantial differences in NEE were found. <inline-formula><mml:math id="M304" 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> emissions, following the shift in hydrological properties, were distinctly lower in the park but also highly variable between plots.</p>
      <p id="d1e4969">With respect to the hypotheses postulated for the net impact of grazing disturbance within the Pleistocene Park, our findings agree with the assumed acceleration of carbon turnover, a reduction in albedo linked to shifts in vegetation communities and a reduction in methane emissions; however, due to the short observation period, our results cannot be regarded as proofs of this concept, and more experiments are required to evaluate spatial and temporal representativeness. The effect of grazing on nutrient availability and associated responses of the vegetation community remain open questions that must be quantitatively assessed at Pleistocene Park. Furthermore, it is essential that carbon fluxes will be investigated over longer timescales, with year-round data coverage. Especially fluxes during autumn and early winter, which account for a significant part of the annual carbon budget, need to be included to enable a more comprehensive assessment of the net effects of grazing management on carbon sequestration in the Arctic tundra. Accordingly, future experiments are planned to address these research topics.</p><?xmltex \hack{\clearpage}?>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <?xmltex \currentcnt{A}?><label>Appendix A</label><title>Location of study sites</title>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F3"><?xmltex \currentcnt{A1}?><?xmltex \def\figurename{Figure}?><label>Figure A1</label><caption><p id="d1e4986">Location of study sites. <bold>(a)</bold> Circum-polar map showing the location of the study site near Chersky in northeast Siberia. <bold>(b)</bold> Landsat composite image of the study region close to Chersky. <bold>(c)</bold> Aerial photograph of the Ambolikha site; the location of the meteorological tower and eddy-covariance system and chamber plots are indicated. Plot numbers 1 (UGR-1) and 2 (UGR-2), which denote sites used in this study, are framed in red boxes. <bold>(d)</bold> Location of the GR observation sites inside Pleistocene Park. The area between the fences (red) is the core area with the highest grazing pressure.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/1611/2022/bg-19-1611-2022-f03.png"/>

      </fig>

<?xmltex \hack{\clearpage}?>
</app>

<app id="App1.Ch1.S2">
  <?xmltex \currentcnt{B}?><label>Appendix B</label><title>Derivation of models for the interpolation of C fluxes</title>
<sec id="App1.Ch1.S2.SS1">
  <label>B1</label><?xmltex \opttitle{Modeling $R_{\text{eco}}$}?><title>Modeling <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p id="d1e5037">Investigating the environmental drivers and their evolution in correlation with <inline-formula><mml:math id="M306" 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 revealed that there is no uniform set of drivers across observation sites yielding optimum regression fits. Regarding input data, for sites UGR-1 and UGR-2 soil temperatures measured individually at each plot were used, while a single time series was used for all three GR sites. This setup was chosen since the two UGR sites are spaced 50 m apart, while all three GR sites were placed within a radius of approximately 6 m.</p>
      <p id="d1e5051">For GR-1 and GR-2, in contrast to all other sites, changes in SM apparently exerted a strong influence on <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (see Fig. B1). However, both high and low <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> were not measured in all SM ranges. Therefore, for each site we first selected <inline-formula><mml:math id="M310" 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 for a moisture interval that shows a wide spectrum of soil temperatures (SM<inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mtext>7.5 cm</mml:mtext></mml:msub></mml:math></inline-formula> at GR-1, 54 %–61 %; at GR-2, 57.5 %–62 %). Next, an exponential regression (<inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 5 cm <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) was fit to the data within this interval (blue dots, left graphs, Fig. B1). The resulting formula was applied to the <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 5 cm of the whole SM range, which yielded a simulated set of values for <inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> if soil moisture did not change. This set of values was subtracted from the original flux values, and residuals were utilized for a second linear regression (residuals <inline-formula><mml:math id="M316" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> SM<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mtext>7.5 cm</mml:mtext></mml:msub></mml:math></inline-formula>, central graphs, Fig. B1) to account for the influence of variable soil moisture on fluxes.
<xref ref-type="bibr" rid="bib1.bibx35" id="text.92"/> observed a similar correlation between the soil water regime, soil temperature and soil moisture to that proposed here, substantiating the approach.
For <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> estimates at GR-3, UGR-1 and UGR-2, fits were optimal when utilizing air temperatures in combination with an exponential regression, while no significant correlation could be found when trying to explain residuals with SM, thaw depth or other variables (Fig. B2).</p>

      <?xmltex \floatpos{p}?><fig id="App1.Ch1.S2.F4" specific-use="star"><?xmltex \currentcnt{B1}?><?xmltex \def\figurename{Figure}?><label>Figure B1</label><caption><p id="d1e5187">Depiction of the relationship between <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 5 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and SM and <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> for GR-1 <bold>(a, c, e)</bold> and GR-2 <bold>(b, d, f)</bold>. Interpolation models are formed by the equations of depicted regression curves. The graphs on the right <bold>(e, f)</bold> show modeled vs. measured fluxes.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/1611/2022/bg-19-1611-2022-f04.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S2.F5" specific-use="star"><?xmltex \currentcnt{B2}?><?xmltex \def\figurename{Figure}?><label>Figure B2</label><caption><p id="d1e5230">Depiction of the relationship between <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>air</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>eco</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for GR-3 <bold>(a)</bold>, UGR-1 <bold>(b)</bold> and UGR-2 <bold>(c)</bold>. Interpolation models are formed by the equation of the depicted regression curve. The graphs on the right <bold>(d, e, f)</bold> show modeled vs. measured fluxes.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/1611/2022/bg-19-1611-2022-f05.png"/>

        </fig>

</sec>
<sec id="App1.Ch1.S2.SS2">
  <label>B2</label><?xmltex \opttitle{Modeling {$\protect\chem{CH_{{4}}}$} fluxes}?><title>Modeling <inline-formula><mml:math id="M323" 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> fluxes</title>
      <p id="d1e5294"><inline-formula><mml:math id="M324" 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> fluxes showed a strong correlation to both <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (all sites) and SM at all depths (GR-1, GR-2, GR-3). However, there was a strong co-linearity between <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and SM. Therefore, to reach the best possible fit for interpolating <inline-formula><mml:math id="M327" 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> fluxes, at GR, while accounting for both drivers, data were split up into two moisture groups (SM<inline-formula><mml:math id="M328" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>15 cm</mml:mtext></mml:msub><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula> and SM<inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>15 cm</mml:mtext></mml:msub><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">60</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>) to apply a pseudo-stepwise regression.
Then, for each plot, a linear regression between <inline-formula><mml:math id="M330" 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> fluxes of the lower-moisture group and <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 25 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> was computed (Fig. B4b, e, h). Second, the resulting linear equation was applied to the complete dataset for each plot, integrating both moisture groups. The residuals between these calculated values and the measured values were fit against SM<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mtext>15 cm</mml:mtext></mml:msub></mml:math></inline-formula>, applying another linear regression and resulting in a second linear equation. These two resulting equations were used to interpolate <inline-formula><mml:math id="M333" 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> fluxes for each plot. Since soil moisture did not change at UGR-1 and UGR-2, the linear regression between <inline-formula><mml:math id="M334" 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> fluxes and <inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 15 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> yielded the linear equations used to model fluxes at these sites (Fig. B3).</p>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S2.F6" specific-use="star"><?xmltex \currentcnt{B3}?><?xmltex \def\figurename{Figure}?><label>Figure B3</label><caption><p id="d1e5441">Exponential regressions between <inline-formula><mml:math id="M336" 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> fluxes and <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 15 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> for UGR-1 <bold>(a)</bold> and UGR-2 <bold>(b)</bold>. </p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/1611/2022/bg-19-1611-2022-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S2.F7" specific-use="star"><?xmltex \currentcnt{B4}?><?xmltex \def\figurename{Figure}?><label>Figure B4</label><caption><p id="d1e5481">Depiction of influencing drivers of <inline-formula><mml:math id="M338" 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> fluxes (GR-1: <bold>a</bold>, <bold>b</bold>, <bold>c</bold>; GR-2: <bold>d</bold>, <bold>e</bold>, <bold>f</bold>; GR-3: <bold>g</bold>, <bold>h</bold>, <bold>i</bold>) and the following derivation of formulas for the interpolation process, showing how the magnitude of fluxes is higher for high soil moisture <bold>(a, d, g)</bold> and how SM<inline-formula><mml:math id="M339" display="inline"><mml:msub><mml:mi/><mml:mtext>15 cm</mml:mtext></mml:msub></mml:math></inline-formula> and <inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 25 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> jointly explain <inline-formula><mml:math id="M341" 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> fluxes.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/19/1611/2022/bg-19-1611-2022-f07.png"/>

        </fig>

</sec>
<sec id="App1.Ch1.S2.SS3">
  <label>B3</label><title>Comparison of daily means of fluxes, soil temperatures, radiation and albedo</title>
      <p id="d1e5572">As stated in the “Materials and methods” section, a repeated measures ANOVA was conducted to make sure measurements were independent in between days (effect is day of year (DOY); see Table B1). Statistics for all compared daily means are shown in Table B1. Tables B2 to B4 display corrected <inline-formula><mml:math id="M342" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values of pairwise <inline-formula><mml:math id="M343" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> tests used to compare fluxes, soil temperatures and radiation between sites and/or plots. We used Holm's method for the post correction of <inline-formula><mml:math id="M344" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values, since Bonferroni's method (or also Tukey's test instead of <inline-formula><mml:math id="M345" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> tests), which is by definition more conservative, resulted in <inline-formula><mml:math id="M346" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values of 1 on some occasions, which might hint at possible type II errors. However, the significance level was set to 0.01 for a more conservative interpretation of the results.</p>

<?xmltex \floatpos{p}?><table-wrap id="App1.Ch1.S2.T5" specific-use="star"><?xmltex \currentcnt{B1}?><label>Table B1</label><caption><p id="d1e5613">Statistics of repeated measures ANOVA applied to the daily means of modeled fluxes, radiation measurements and <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 5 cm at all sites over the whole observation period. (DOY denotes day of year; SW<inline-formula><mml:math id="M348" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:math></inline-formula> denotes downwelling shortwave radiation; SW<inline-formula><mml:math id="M349" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">u</mml:mi></mml:msub></mml:math></inline-formula> denotes upwelling shortwave radiation; DF<inline-formula><mml:math id="M350" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">n</mml:mi></mml:msub></mml:math></inline-formula> denotes degrees of freedom in the numerator; DF<inline-formula><mml:math id="M351" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:math></inline-formula> denotes degrees of freedom in the denominator; SS<inline-formula><mml:math id="M352" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">n</mml:mi></mml:msub></mml:math></inline-formula> denotes sum of squares in the numerator; SS<inline-formula><mml:math id="M353" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:math></inline-formula> denotes sum of squares in the denominator; ges denotes generalized eta squared (<inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">η</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>).)</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Flux</oasis:entry>
         <oasis:entry colname="col2">Effect</oasis:entry>
         <oasis:entry colname="col3">DF<inline-formula><mml:math id="M355" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">n</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">DF<inline-formula><mml:math id="M356" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">SS<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">n</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">SS<inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M359" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M360" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">ges</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M361" 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="col2">DOY</oasis:entry>
         <oasis:entry colname="col3">14</oasis:entry>
         <oasis:entry colname="col4">56</oasis:entry>
         <oasis:entry colname="col5">112.59</oasis:entry>
         <oasis:entry colname="col6">33.46</oasis:entry>
         <oasis:entry colname="col7">13.46</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">0.77</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GPP</oasis:entry>
         <oasis:entry colname="col2">DOY</oasis:entry>
         <oasis:entry colname="col3">14</oasis:entry>
         <oasis:entry colname="col4">56</oasis:entry>
         <oasis:entry colname="col5">132.64</oasis:entry>
         <oasis:entry colname="col6">16.60</oasis:entry>
         <oasis:entry colname="col7">31.95</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">0.89</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NEE</oasis:entry>
         <oasis:entry colname="col2">DOY</oasis:entry>
         <oasis:entry colname="col3">14</oasis:entry>
         <oasis:entry colname="col4">56</oasis:entry>
         <oasis:entry colname="col5">108.87</oasis:entry>
         <oasis:entry colname="col6">46.11</oasis:entry>
         <oasis:entry colname="col7">9.44</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">0.70</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M365" 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></oasis:entry>
         <oasis:entry colname="col2">DOY</oasis:entry>
         <oasis:entry colname="col3">14</oasis:entry>
         <oasis:entry colname="col4">56</oasis:entry>
         <oasis:entry colname="col5">0.16</oasis:entry>
         <oasis:entry colname="col6">0.10</oasis:entry>
         <oasis:entry colname="col7">6.47</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">0.62</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 5 cm</oasis:entry>
         <oasis:entry colname="col2">DOY</oasis:entry>
         <oasis:entry colname="col3">14</oasis:entry>
         <oasis:entry colname="col4">28</oasis:entry>
         <oasis:entry colname="col5">348.91</oasis:entry>
         <oasis:entry colname="col6">18.12</oasis:entry>
         <oasis:entry colname="col7">38.50</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">0.95</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SW<inline-formula><mml:math id="M369" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">DOY</oasis:entry>
         <oasis:entry colname="col3">14</oasis:entry>
         <oasis:entry colname="col4">14</oasis:entry>
         <oasis:entry colname="col5">109 439</oasis:entry>
         <oasis:entry colname="col6">1423.57</oasis:entry>
         <oasis:entry colname="col7">76.88</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">0.99</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SW<inline-formula><mml:math id="M371" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">u</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">DOY</oasis:entry>
         <oasis:entry colname="col3">14</oasis:entry>
         <oasis:entry colname="col4">14</oasis:entry>
         <oasis:entry colname="col5">4978.72</oasis:entry>
         <oasis:entry colname="col6">101.64</oasis:entry>
         <oasis:entry colname="col7">48.99</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">0.98</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.S2.T6" specific-use="star"><?xmltex \currentcnt{B2}?><label>Table B2</label><caption><p id="d1e6118">Corrected <inline-formula><mml:math id="M373" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values (insignificant values marked bold) of pairwise <inline-formula><mml:math id="M374" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> tests applied to daily means of <inline-formula><mml:math id="M375" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 5 cm, SW<inline-formula><mml:math id="M376" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">u</mml:mi></mml:msub></mml:math></inline-formula> (upwelling shortwave radiation) and SW<inline-formula><mml:math id="M377" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:math></inline-formula> (downwelling shortwave radiation).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> at 5 cm</oasis:entry>
         <oasis:entry colname="col2">GR</oasis:entry>
         <oasis:entry colname="col3">UGR-1</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">UGR-1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">UGR-2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.00014</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Radiation</oasis:entry>
         <oasis:entry colname="col2">SW<inline-formula><mml:math id="M381" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:math></inline-formula> (UGR)</oasis:entry>
         <oasis:entry colname="col3">SW<inline-formula><mml:math id="M382" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">u</mml:mi></mml:msub></mml:math></inline-formula> (UGR)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SW<inline-formula><mml:math id="M383" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">d</mml:mi></mml:msub></mml:math></inline-formula> (GR)</oasis:entry>
         <oasis:entry colname="col2"><bold>0.23</bold></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SW<inline-formula><mml:math id="M384" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">u</mml:mi></mml:msub></mml:math></inline-formula> (GR)</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.S2.T7"><?xmltex \hack{\hsize\textwidth}?><?xmltex \currentcnt{B3}?><label>Table B3</label><caption><p id="d1e6329">Corrected <inline-formula><mml:math id="M386" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values (insignificant values – above 0.01 – marked bold) of pairwise <inline-formula><mml:math id="M387" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> tests applied to daily means of modeled fluxes at all sites over the whole observation period. UGR avg and GR avg were compared separately.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.95}[.95]?><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M388" 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="col2">GR-1</oasis:entry>
         <oasis:entry colname="col3">GR-2</oasis:entry>
         <oasis:entry colname="col4">GR-3</oasis:entry>
         <oasis:entry colname="col5">UGR-1</oasis:entry>
         <oasis:entry colname="col6">UGR avg</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">GR-2</oasis:entry>
         <oasis:entry colname="col2"><bold>0.38</bold></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR-3</oasis:entry>
         <oasis:entry colname="col2">0.0006</oasis:entry>
         <oasis:entry colname="col3"><bold>0.01125</bold></oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UGR-1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UGR-2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</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:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">0.00057</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">GR avg</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">GPP</oasis:entry>
         <oasis:entry colname="col2">GR-1</oasis:entry>
         <oasis:entry colname="col3">GR-2</oasis:entry>
         <oasis:entry colname="col4">GR-3</oasis:entry>
         <oasis:entry colname="col5">UGR-1</oasis:entry>
         <oasis:entry colname="col6">UGR avg</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR-2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR-3</oasis:entry>
         <oasis:entry colname="col2">0.0051</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UGR-1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M399" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UGR-2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M402" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">GR avg</oasis:entry>
         <oasis:entry colname="col2">-</oasis:entry>
         <oasis:entry colname="col3">-</oasis:entry>
         <oasis:entry colname="col4">-</oasis:entry>
         <oasis:entry colname="col5">-</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">NEE</oasis:entry>
         <oasis:entry colname="col2">GR-1</oasis:entry>
         <oasis:entry colname="col3">GR-2</oasis:entry>
         <oasis:entry colname="col4">GR-3</oasis:entry>
         <oasis:entry colname="col5">UGR-1</oasis:entry>
         <oasis:entry colname="col6">UGR avg</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR-2</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR-3</oasis:entry>
         <oasis:entry colname="col2">0.00098</oasis:entry>
         <oasis:entry colname="col3"><bold>0.18787</bold></oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UGR-1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><bold>0.11569</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UGR-2</oasis:entry>
         <oasis:entry colname="col2"><bold>0.18787</bold></oasis:entry>
         <oasis:entry colname="col3">0.00031</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">GR avg</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6"><bold>0.73</bold></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><inline-formula><mml:math id="M411" 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></oasis:entry>
         <oasis:entry colname="col2">GR-1</oasis:entry>
         <oasis:entry colname="col3">GR-2</oasis:entry>
         <oasis:entry colname="col4">GR-3</oasis:entry>
         <oasis:entry colname="col5">UGR-1</oasis:entry>
         <oasis:entry colname="col6">UGR avg</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR-2</oasis:entry>
         <oasis:entry colname="col2">0.0001</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR-3</oasis:entry>
         <oasis:entry colname="col2">0.0001</oasis:entry>
         <oasis:entry colname="col3">0.00011</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UGR-1</oasis:entry>
         <oasis:entry colname="col2"><bold>0.45655</bold></oasis:entry>
         <oasis:entry colname="col3"><bold>0.01667</bold></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">UGR-2</oasis:entry>
         <oasis:entry colname="col2"><bold>0.08469</bold></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GR avg</oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

</sec>
<sec id="App1.Ch1.S2.SS4">
  <label>B4</label><title>Error calculation</title>
      <p id="d1e7152">For the final modeled fluxes, which provide the basis to calculate daily average fluxes, a series of error sources was identified (see Table B4). First, a bootstrapping approach to obtain a median slope of <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> and <inline-formula><mml:math id="M418" 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> concentration changes (see also “Materials and methods” section) allows us to generate an error range for observed flux rates. The standard error of the calculated slopes was transformed into a flux by the same formula applied to the median slope, averaged over all measurements, and is called Err<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mtext>slope</mml:mtext></mml:msub></mml:math></inline-formula>. For GPP, Err<inline-formula><mml:math id="M420" display="inline"><mml:msub><mml:mi/><mml:mtext>slope</mml:mtext></mml:msub></mml:math></inline-formula> is composed of the Err<inline-formula><mml:math id="M421" display="inline"><mml:msub><mml:mi/><mml:mtext>slope</mml:mtext></mml:msub></mml:math></inline-formula> of both NEE measurements and <inline-formula><mml:math id="M422" 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, since these two direct flux measurements needed to be combined for GPP. Second, modeling the chamber fluxes in order to have a continuous time series results in deviations from the modeled vs. the measured fluxes. Here, a linear regression (modeled vs. measured) was applied to evaluate the model quality and to obtain a standard error. Third, to model and interpolate <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> (at GR-1 and GR-2) and <inline-formula><mml:math id="M424" 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> fluxes (at UGR-1 and UGR-2), interpolated soil temperatures were used. Therefore, the RMSE of these models was considered by adding it to the <inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> term in the interpolation formula for <inline-formula><mml:math id="M426" 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="M427" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 5 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M428" 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> fluxes (<inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 15 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 25 cm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>). In a last step, the initial flux was subtracted from this “enhanced” flux, and the result was defined as the <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> error (Err<inline-formula><mml:math id="M432" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi mathvariant="normal">S</mml:mi></mml:msub></mml:mrow></mml:msub></mml:math></inline-formula>). All these errors are summarized by Err<inline-formula><mml:math id="M433" display="inline"><mml:msub><mml:mi/><mml:mtext>abs</mml:mtext></mml:msub></mml:math></inline-formula> and are depicted in Table B1. NEE errors are summed Err<inline-formula><mml:math id="M434" display="inline"><mml:msub><mml:mi/><mml:mtext>abs</mml:mtext></mml:msub></mml:math></inline-formula> values from <inline-formula><mml:math id="M435" 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.</p>

<?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.S2.T8"><?xmltex \hack{\hsize\textwidth}?><?xmltex \currentcnt{B4}?><label>Table B4</label><caption><p id="d1e7363">Error range of C fluxes, with values given in <inline-formula><mml:math id="M436" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol C m<inline-formula><mml:math id="M437" 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="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>. Err<inline-formula><mml:math id="M439" display="inline"><mml:msub><mml:mi/><mml:mtext>abs</mml:mtext></mml:msub></mml:math></inline-formula> describes the final cumulative error that is also used in the results section.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.95}[.95]?><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">UGR-1</oasis:entry>
         <oasis:entry colname="col3">UGR-2</oasis:entry>
         <oasis:entry colname="col4">GR-1</oasis:entry>
         <oasis:entry colname="col5">GR-2</oasis:entry>
         <oasis:entry colname="col6">GR-3</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M440" 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="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M441" display="inline"><mml:msub><mml:mi/><mml:mtext>slope</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.16</oasis:entry>
         <oasis:entry colname="col3">0.13</oasis:entry>
         <oasis:entry colname="col4">0.15</oasis:entry>
         <oasis:entry colname="col5">0.13</oasis:entry>
         <oasis:entry colname="col6">0.13</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M442" display="inline"><mml:msub><mml:mi/><mml:mtext>mod</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.89</oasis:entry>
         <oasis:entry colname="col3">0.45</oasis:entry>
         <oasis:entry colname="col4">0.65</oasis:entry>
         <oasis:entry colname="col5">1.16</oasis:entry>
         <oasis:entry colname="col6">0.84</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M443" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S</mml:mtext></mml:msub></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">–</oasis:entry>
         <oasis:entry colname="col3">–</oasis:entry>
         <oasis:entry colname="col4">0.51</oasis:entry>
         <oasis:entry colname="col5">0.35</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M444" display="inline"><mml:msub><mml:mi/><mml:mtext>abs</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.46</oasis:entry>
         <oasis:entry colname="col3">0.58</oasis:entry>
         <oasis:entry colname="col4">1.31</oasis:entry>
         <oasis:entry colname="col5">1.64</oasis:entry>
         <oasis:entry colname="col6">0.97</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GPP</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M445" display="inline"><mml:msub><mml:mi/><mml:mtext>slope</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.30</oasis:entry>
         <oasis:entry colname="col3">0.24</oasis:entry>
         <oasis:entry colname="col4">0.26</oasis:entry>
         <oasis:entry colname="col5">0.27</oasis:entry>
         <oasis:entry colname="col6">0.33</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M446" display="inline"><mml:msub><mml:mi/><mml:mtext>mod</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">2.50</oasis:entry>
         <oasis:entry colname="col3">1.20</oasis:entry>
         <oasis:entry colname="col4">1.77</oasis:entry>
         <oasis:entry colname="col5">2.67</oasis:entry>
         <oasis:entry colname="col6">2.15</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M447" display="inline"><mml:msub><mml:mi/><mml:mtext>abs</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">2.80</oasis:entry>
         <oasis:entry colname="col3">1.44</oasis:entry>
         <oasis:entry colname="col4">2.03</oasis:entry>
         <oasis:entry colname="col5">2.94</oasis:entry>
         <oasis:entry colname="col6">2.48</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NEE</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M448" display="inline"><mml:msub><mml:mi/><mml:mtext>abs</mml:mtext></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M449" 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="col2">1.46</oasis:entry>
         <oasis:entry colname="col3">0.58</oasis:entry>
         <oasis:entry colname="col4">1.31</oasis:entry>
         <oasis:entry colname="col5">1.64</oasis:entry>
         <oasis:entry colname="col6">0.97</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M450" display="inline"><mml:msub><mml:mi/><mml:mtext>abs</mml:mtext></mml:msub></mml:math></inline-formula> (GPP)</oasis:entry>
         <oasis:entry colname="col2">2.80</oasis:entry>
         <oasis:entry colname="col3">1.44</oasis:entry>
         <oasis:entry colname="col4">2.03</oasis:entry>
         <oasis:entry colname="col5">2.94</oasis:entry>
         <oasis:entry colname="col6">2.48</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M451" display="inline"><mml:msub><mml:mi/><mml:mtext>comp</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">4.26</oasis:entry>
         <oasis:entry colname="col3">2.02</oasis:entry>
         <oasis:entry colname="col4">3.34</oasis:entry>
         <oasis:entry colname="col5">4.58</oasis:entry>
         <oasis:entry colname="col6">3.55</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M452" 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></oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M453" display="inline"><mml:msub><mml:mi/><mml:mtext>slope</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.0022</oasis:entry>
         <oasis:entry colname="col3">0.0033</oasis:entry>
         <oasis:entry colname="col4">0.0039</oasis:entry>
         <oasis:entry colname="col5">0.0026</oasis:entry>
         <oasis:entry colname="col6">0.00090</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M454" display="inline"><mml:msub><mml:mi/><mml:mtext>mod</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.011</oasis:entry>
         <oasis:entry colname="col3">0.012</oasis:entry>
         <oasis:entry colname="col4">0.045</oasis:entry>
         <oasis:entry colname="col5">0.020</oasis:entry>
         <oasis:entry colname="col6">0.007</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M455" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mtext>S, 15 cm</mml:mtext></mml:msub></mml:mrow></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.0013</oasis:entry>
         <oasis:entry colname="col3">0.0014</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Err<inline-formula><mml:math id="M456" display="inline"><mml:msub><mml:mi/><mml:mtext>abs</mml:mtext></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.014</oasis:entry>
         <oasis:entry colname="col3">0.016</oasis:entry>
         <oasis:entry colname="col4">0.049</oasis:entry>
         <oasis:entry colname="col5">0.027</oasis:entry>
         <oasis:entry colname="col6">0.008</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<?xmltex \hack{\clearpage}?>
</sec>
</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e7989">The observational data used within the context of this study have been published on Edmond – The Open Research Data Repository operated by the Max Planck Society (<uri>https://edmond.mpdl.mpg.de</uri>, last access: 14 March 2022) <xref ref-type="bibr" rid="bib1.bibx28" id="paren.93"/>. The dataset archived there is openly accessible through <ext-link xlink:href="https://doi.org/10.17617/3.91" ext-link-type="DOI">10.17617/3.91</ext-link>. The code used to process the data is available from the corresponding author upon request.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e8004">MG was responsible for study conception. WF, MG and CKT contributed to development of the methodology. NZ provided logistics at the study site and has an overall prominent role in designing permafrost studies within Pleistocene Park. WF conducted the fieldwork, with support from MG and NZ. Formal data analysis and interpretation were carried out by WF under supervision of MG and CKT. WF led the drafting of the manuscript with contributions from MG. All authors contributed to refining the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e8010">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e8016">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e8022">This work was supported through funding by the European Commission (INTAROS project, H2020-BG-09-2016 (grant no. 727890), Nunataryuk project, H2020-BG-11-2016/17 (grant no. 773421)) and the German Ministry of Education and Research (KoPf project (grant no. 03F0764D)). Further funding was provided by the Max Planck Institute for Biogeochemistry (MPI-BGC) in Jena, Germany. The authors appreciate the technical support of Olaf Kolle and Martin Hertel from the Field Experiments and Instrumentation service group at MPI-BGC and also the contribution of staff members of the Northeast Scientific Station in Chersky for facilitating the field experiments.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e8027">The article processing charges for this open-access publication were covered by the Max Planck Society.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e8033">This paper was edited by Sara Vicca and reviewed by Torben Windirsch and one anonymous referee.</p>
  </notes><ref-list>
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