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  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-23-2815-2026</article-id><title-group><article-title>A top-down evaluation of bottom-up estimates to reduce uncertainty in methane emissions from Arctic wetlands</article-title><alt-title>A top-down evaluation of bottom-up wetland estimates</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Basso</surname><given-names>Luana S.</given-names></name>
          <email>lbasso@bgc-jena.mpg.de</email>
        <ext-link>https://orcid.org/0000-0002-4208-6039</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3 aff4">
          <name><surname>Georgievski</surname><given-names>Goran</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4393-3647</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Brovkin</surname><given-names>Victor</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6420-3198</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Beer</surname><given-names>Christian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5377-3344</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rödenbeck</surname><given-names>Christian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6011-6249</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Göckede</surname><given-names>Mathias</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2833-8401</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Biogeochemical Signals, Max Planck Institute for Biogeochemistry, Jena, 07745, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Climate Dynamics, Max Planck Institute for Meteorology, Hamburg, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Earth Resilience Science Unit, Potsdam Institute for Climate Impact Research, Potsdam, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Integrative Earth System Science, Max Planck Institute of Geoanthropology, Jena, Germany</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Earth System Sciences, University of Hamburg, Hamburg, 20146, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Luana S. Basso (lbasso@bgc-jena.mpg.de)</corresp></author-notes><pub-date><day>24</day><month>April</month><year>2026</year></pub-date>
      
      <volume>23</volume>
      <issue>8</issue>
      <fpage>2815</fpage><lpage>2830</lpage>
      <history>
        <date date-type="received"><day>11</day><month>September</month><year>2025</year></date>
           <date date-type="rev-request"><day>18</day><month>September</month><year>2025</year></date>
           <date date-type="rev-recd"><day>17</day><month>March</month><year>2026</year></date>
           <date date-type="accepted"><day>21</day><month>March</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Luana S. Basso et al.</copyright-statement>
        <copyright-year>2026</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/23/2815/2026/bg-23-2815-2026.html">This article is available from https://bg.copernicus.org/articles/23/2815/2026/bg-23-2815-2026.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/23/2815/2026/bg-23-2815-2026.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/23/2815/2026/bg-23-2815-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e154">Wetlands are a major natural source of atmospheric <inline-formula><mml:math id="M1" 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>, however, accurately estimating their emissions is difficult due to the complex biogeochemical interactions and spatial heterogeneity of wetland environments. This study explores how a combination of atmospheric inverse and process-based modelling can reduce the discrepancy in Arctic wetland estimates between bottom-up and top-down approaches. We employed the Jena CarboScope global inversion system, incorporating prior wetland fluxes simulated by the JSBACH land surface model, which is part of the Max Planck Institute Earth System Model (MPI-ESM). We conducted a series of inversion experiments, each incorporating JSBACH-generated <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 based on different <inline-formula><mml:math id="M3" 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> production <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values, which represents the temperature dependence of <inline-formula><mml:math id="M5" 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> production. Additionally, we examined the impact of changing the baseline <inline-formula><mml:math id="M6" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction value, which defines the fraction of anaerobically mineralized carbon converted to <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>, while keeping all other JSBACH and inversion settings constant.  Our findings show that, at a pan-Arctic scale, using a <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> <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value of 1.8 produces the best agreement between the two approaches.  However, no single <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value yielded optimal agreement between the simulated fluxes and the fluxes inferred from atmospheric observations across all subregions. Instead, the best performance varied spatially, with different <inline-formula><mml:math id="M11" 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> production <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values and baseline <inline-formula><mml:math id="M13" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction leading to a better flux agreement in specific areas. These results highlight the importance of using regionally specific parameters to more accurately estimate wetland <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, and the potential of employing atmospheric inversions to guide bottom-up process models towards regionally representative parameter settings.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>European Research Council</funding-source>
<award-id>951288</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Bundesministerium für Forschung, Technologie und Raumfahrt</funding-source>
<award-id>03F0931G</award-id>
</award-group>
<award-group id="gs3">
<funding-source>European Space Agency</funding-source>
<award-id>4000137912/22/I-DT</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e330">Methane (<inline-formula><mml:math id="M15" 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>) is the second most important anthropogenic greenhouse gas and it is emitted from both natural and anthropogenic sources. Combined wetlands and inland freshwaters are the largest natural source of <inline-formula><mml:math id="M16" 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> to the atmosphere, accounting for about 28 %–37 % (by bottom-up and top-down estimates, respectively) of the global total <inline-formula><mml:math id="M17" 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 (Saunois et al., 2025). However, quantifying these emissions remains challenging due to the complexity of biogeochemical processes and the spatial variability of these ecosystems. Constraining <inline-formula><mml:math id="M18" 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 is particularly relevant in the Arctic–Boreal region, which is warming faster than most other regions (Rantanen et al., 2022), and at the same time contains extensive wetlands and permafrost landscapes storing significant amounts of soil carbon (Hugelius et al., 2024). Under warming conditions, this carbon can be mobilized and potentially release substantial amounts of <inline-formula><mml:math id="M19" 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> into the atmosphere. Large uncertainties in Arctic <inline-formula><mml:math id="M20" 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> emission estimates limit our ability to quantify the region's contribution to the global <inline-formula><mml:math id="M21" 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> budget and its climate feedbacks.</p>
      <p id="d2e411">Global and regional <inline-formula><mml:math id="M22" 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 are estimated using both bottom-up or top-down approaches. Bottom-up methods, including inventories, data-driven ecosystem flux upscaling and process-based models, provide detailed information with fine-scale resolution for both, processes and spatial heterogeneity. Process-based models simulate <inline-formula><mml:math id="M23" 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 mathematically representing ecosystem dynamics, biogeochemical cycles, and physical processes. However, extrapolating these estimates to regional or global scales is challenging due to the strong spatial variability in wetland characteristics (e.g., extent, hydrology and vegetation), as well as sensitivity of the models to parameterizations. Top-down approaches estimate net surface–atmosphere <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes using atmospheric observations (in situ, flask and/or satellite measurements) in combination with prior flux information (from process-based models and/or inventories), and atmospheric transport and chemistry models to link surface sources with atmospheric observations. Their ability to provide accurate estimates of net surface–atmosphere fluxes is limited by sparse observational coverage, particularly in remote regions, as well as by uncertainties in atmospheric transport, prior flux estimates, and atmospheric <inline-formula><mml:math id="M25" 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> sink processes (Houweling et al., 2017). These limitations can lead to significant uncertainties in the magnitude and spatial distribution of inferred emissions, which makes attributing fluxes to specific sources or processes challenging. Still, despite these limitations, the inverse modeling approach allowed us to derive important constraints on the global sources and sinks of <inline-formula><mml:math id="M26" 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> (Houweling et al., 2017).</p>
      <p id="d2e469">Although both approaches are widely used, substantial discrepancies exist between bottom-up and top-down estimates of <inline-formula><mml:math id="M27" 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. From 2010 to 2019, top-down approaches estimated global <inline-formula><mml:math id="M28" 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 575 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (553–586 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), whereas bottom-up estimates were approximately 15 % higher, at 669 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (512–849 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (Saunois et al., 2025). Similar differences are evident in the high-northern latitudes regions, where wetlands and inland waters dominate emissions. In the Arctic–Boreal region, bottom-up estimates of 50 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (29–71 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) contrast with top-down estimates of 20 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (15–24 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) (Hugelius et al., 2024).</p>
      <p id="d2e679">Mechanistic modeling of net surface <inline-formula><mml:math id="M37" 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 requires capturing a range of complex, interacting processes (Conrad, 1999; Moser et al., 2026; Riley et al., 2011). As a key parameter, the net <inline-formula><mml:math id="M38" 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:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production ratio is determined by the relative importance of several biogeochemical processes, which in turn are dependent on environmental conditions, and a large range of this production ratio has been observed (Knoblauch et al., 2018). As a consequence, global-scale land surface models often represent anaerobic <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> production in a simplified way, i.e. as a first-order decay of soil organic matter with adjusted rate constants, applying a fixed ratio of <inline-formula><mml:math id="M40" 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> versus <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production (Guimberteau et al., 2018; Kleinen et al., 2020; Moser et al., 2026; Ricciuto et al., 2021; Sellar et al., 2019). Here, the models can differ in whether the ratio applies to the <inline-formula><mml:math id="M42" 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> production or emission.</p>
      <p id="d2e757">Biogeochemical process models require balancing the inclusion of key mechanisms with limitations such as structural and parameter uncertainty, spatial heterogeneity, sparse observational data, uncertain initial and boundary conditions, and computational constraints (Riley et al., 2011).  Regarding the simulation of <inline-formula><mml:math id="M43" 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, a higher <inline-formula><mml:math id="M44" 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:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio indicates a greater dominance of <inline-formula><mml:math id="M45" 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> in production and emission relative to <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Chinta et al., 2024), while a higher <inline-formula><mml:math id="M47" 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> production <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> indicates that <inline-formula><mml:math id="M49" 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> production increases more rapidly with rising temperatures. As regional model sensitivity varies and site-specific measurements may not be representative across broader areas, both the <inline-formula><mml:math id="M50" 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:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio and the <inline-formula><mml:math id="M51" 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> production <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are uncertain at large spatial scales. For example, increasing <inline-formula><mml:math id="M53" 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> production <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in high-latitude regions can reduce simulated <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> emissions by more than half, because the temperature-dependent component, scaled relative to a reference temperature of 295 <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, leads to a decline in <inline-formula><mml:math id="M57" 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> production rate at the lower temperatures typical of these regions (Riley et al., 2011). As many large-scale land surface models still rely on simplified, fixed <inline-formula><mml:math id="M58" 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> production fractions, their ability to accurately represent observed spatiotemporal variability in <inline-formula><mml:math id="M59" 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:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production ratios across Arctic landscapes is therefore limited (Moser et al., 2026). These differences in model structure, parameterization and initialization contribute strongly to relative high uncertainties in wetland estimates (Poulter et al., 2017).</p>
      <p id="d2e967">The JSBACH v3.2 model (Reick et al., 2021) that we apply in this study is taking the first approach and mechanistically distinguish between methanogenesis and methanotrophy. In JSBACH v3.2, anaerobic decomposition and <inline-formula><mml:math id="M60" 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> oxidation are temperature dependent and the <inline-formula><mml:math id="M61" 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:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production ratio is also assumed to follow a <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> temperature sensitivity (Kleinen et al., 2020). This formulation allows the relative importance of the above-mentioned underlying biogeochemical processes changes in space and time depending on the soil temperature. In addition, making the <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:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production ratio temperature dependent allows us to additionally tune <inline-formula><mml:math id="M64" 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> versus <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production across bioclimatic zones. Still, the optimum parameter setting of the <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value for this temperature dependency of the <inline-formula><mml:math id="M67" 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:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production ratio is still highly uncertain.</p>
      <p id="d2e1080">This study therefore explores novel concepts for using atmospheric inverse modeling to constrain parameter settings in bottom-up estimates of wetland <inline-formula><mml:math id="M68" 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 in the Arctic–Boreal region. Using the Jena CarboScope global inversion system, we employed prior fluxes from the JSBACH land surface model (a component of the MPI Earth System Model) and systematically varied key parameters that govern <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> production. Specifically, we tested a range of <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values, which define the temperature sensitivity of <inline-formula><mml:math id="M71" 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> production, and different <inline-formula><mml:math id="M72" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> baseline values, which determine the proportion of anaerobically mineralized carbon converted to <inline-formula><mml:math id="M73" 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>. However, a portion of the produced <inline-formula><mml:math id="M74" 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> is oxidized to <inline-formula><mml:math id="M75" 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>. Since transport pathways determine how much <inline-formula><mml:math id="M76" 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> is exposed to oxidation on its way to the surface, they reduce the resulting <inline-formula><mml:math id="M77" 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:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission ratio. We kept other model settings constant throughout these tests. Integrating these parameter sensitivity experiments into the inversion framework allowed us to assess which parameterizations yield the most consistent fluxes with atmospheric observations. This approach enables us to identify regionally representative parameter settings and guide parameterizations that could improve the consistency between bottom-up process models and top-down constraints on Arctic–Boreal wetland <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> emissions.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Region and time period of interest</title>
      <p id="d2e1231">Our Arctic–Boreal domain was defined based on The Boreal–Arctic Wetland and Lake Dataset – BAWLD (Olefeldt et al., 2021), and we divided this region into 6 sub-regions for more detailed spatial analyses (Alaska, western Canada, eastern Canada, Europe including Greenland, western Russia, eastern Russia, Fig. 1). In recent decades, the atmospheric observation network suitable for inverse modeling has expanded across the Arctic, with a considerable increase in available sites after 2010 (Vogt et al., 2025).  However, due to data-sharing disruptions associated with the ongoing conflict involving Russia and Ukraine, observational data from Russian stations has been limited since 2022. Consequently, this study focuses on the period from 2010 to 2021, when data coverage from surface stations was more consistent across the full domain.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1236">Geographic distribution of surface sites operated by different network providers where flask-based and/or continuous in-situ <inline-formula><mml:math id="M79" 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> measurements are available for assimilation into the inverse model (black dots; Table S1 in the Supplement). The colored boxes delineate the Arctic–Boreal regions (Alaska, western Canada, eastern Canada, Europe including Greenland, western Russia, eastern Russia), as defined based on The Boreal–Arctic Wetland and Lake Dataset (BAWLD) (Olefeldt et al., 2021).</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2815/2026/bg-23-2815-2026-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Wetland estimates used as prior fluxes in the inverse modelling</title>
      <p id="d2e1264">In this study, we utilize the JSBACH model (Reick et al., 2021), the land component of the MPI-ESM (Mauritsen et al., 2019), to estimate bottom-up wetland <inline-formula><mml:math id="M80" 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. JSBACH is run in standalone mode at T63 resolution (approximately 1.85°, or 185 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) and driven by CRUJRA2.3 (Harris, 2019) climate forcing. Soil hydrology and thermodynamics follow the multilayer formulation of Hagemann and Stacke (2015), with permafrost-related processes implemented as described by Ekici et al.  (2014). Soil organic carbon (SOC) decomposition is simulated as a first-order decay process that depends on surface air temperature, water availability, and litter size, following the YASSO model formulation (Tuomi et al., 2011) and its implementation in JSBACH by Goll et al. (2015).</p>
      <p id="d2e1286">The wetland area fraction of the grid is determined using TOPMODEL (Beven and Kirkby, 1979), a conceptual rainfall–runoff model that estimates inundation based on the compound topographic index (CTI). If the inundated fraction of the grid is non-frozen (depending on the soil temperature), it is considered a <inline-formula><mml:math id="M82" 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>-emitting area. The methodology for wetland <inline-formula><mml:math id="M83" 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> production and transport is adopted from Riley et al. (2011), and the details of the TOPMODEL and its implementation for wetland <inline-formula><mml:math id="M84" 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> within JSBACH are outlined in Kleinen et al. (2020).</p>
      <p id="d2e1322">Methane production and the transport pathways that move <inline-formula><mml:math id="M85" 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> to the surface (diffusion, plant-mediated aerenchyma and ebullition) follow the scheme of Riley et al. (2011), as implemented in JSBACH by Kleinen et al.  (2020). Under anaerobic conditions, a proportion of SOC (<inline-formula><mml:math id="M86" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula>) is converted to <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>, while the remaining is converted to <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The temperature dependence of <inline-formula><mml:math id="M89" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> is represented using a <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> formulation.

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M91" display="block"><mml:mrow><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:msub><mml:mi>f</mml:mi><mml:mrow><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:mtext>,baseline</mml:mtext></mml:mrow></mml:msub><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi mathvariant="normal">Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mtext>soil</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">295</mml:mn><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mi>K</mml:mi></mml:mrow></mml:msubsup></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1455">Oxidation reduces the amount of <inline-formula><mml:math id="M92" 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> that reaches the atmosphere.  Consequently, the net <inline-formula><mml:math id="M93" 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:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission ratio depends on production and oxidation rates, as well as transport pathways, which control the amount of <inline-formula><mml:math id="M94" 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> exposed to oxidation. A simplified conceptual relationship is as follows:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M95" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><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:mi>P</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>O</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:mrow><mml:mrow><mml:mo mathsize="1.1em">(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><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 mathsize="1.1em">)</mml:mo><mml:mi>P</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>O</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:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M96" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> is gross anaerobic SOC decomposition and <inline-formula><mml:math id="M97" display="inline"><mml:mi>O</mml:mi></mml:math></inline-formula> is the amount of <inline-formula><mml:math id="M98" 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> oxidized before emission.</p>
      <p id="d2e1602">To evaluate how sensitive <inline-formula><mml:math id="M99" 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> wetland emission estimates are to key parameters, we conducted nine experiments in which we varied only the <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> coefficient for <inline-formula><mml:math id="M101" 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> production and the baseline <inline-formula><mml:math id="M102" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction (Fig. 2b). Specifically, we tested three different <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values ranging from 1.4 to 2.2, consistent with commonly used values reported in literature review (Moser et al., 2026), and baseline <inline-formula><mml:math id="M104" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fractions from 0.33 to 0.38. These combinations are summarized in Table 1 and were chosen to identify parameter sets that best align with the observed atmospheric data. All other carbon decomposition, hydrological, transport, and oxidation processes follow the standard JSBACH configuration.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1682"><bold>(a)</bold> Sensitivity of <inline-formula><mml:math id="M105" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> production fraction to the chosen range of input parameters for this study. The <inline-formula><mml:math id="M106" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis represents the fraction of anaerobic carbon mineralization allocated to <inline-formula><mml:math id="M107" 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> production, calculated using the equation displayed at the top of the panel and in Eq. (1). In the legend, the first number denotes the <inline-formula><mml:math id="M108" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> baseline fraction and the second number denotes the <inline-formula><mml:math id="M109" 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> production <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value. <bold>(b)</bold> Mean seasonal cycle of Arctic–Boreal wetland <inline-formula><mml:math id="M111" 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 for each experiment used in the inversion as the wetland prior flux. <bold>(c)</bold> Annual mean wetland fluxes from each experiment estimated by JSBACH model.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2815/2026/bg-23-2815-2026-f02.png"/>

        </fig>

<table-wrap id="T1"><label>Table 1</label><caption><p id="d2e1784">Summary of JSBACH wetland <inline-formula><mml:math id="M112" 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> estimates used as prior fluxes in the inversions and posterior fluxes estimates for each respective model run.</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="center" colsep="1"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col2" align="center" colsep="1">JSBACH </oasis:entry>
         <oasis:entry namest="col3" nameend="col5">Arctic–Boreal annual mean </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col2" align="center" colsep="1">parameterization </oasis:entry>
         <oasis:entry namest="col3" nameend="col5"><inline-formula><mml:math id="M114" 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> emission (<inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)<sup>∗</sup></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Baseline</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">JSBACH</oasis:entry>
         <oasis:entry colname="col4">Posterior</oasis:entry>
         <oasis:entry colname="col5">Mean</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M118" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">model</oasis:entry>
         <oasis:entry colname="col3">estimates</oasis:entry>
         <oasis:entry colname="col4">estimates</oasis:entry>
         <oasis:entry colname="col5">model</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">fraction</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(prior)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">adjustment</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.33</oasis:entry>
         <oasis:entry colname="col2">1.4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mn mathvariant="normal">31.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mn mathvariant="normal">25.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.33</oasis:entry>
         <oasis:entry colname="col2">1.8</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mn mathvariant="normal">20.0</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mn mathvariant="normal">22.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">2.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.33</oasis:entry>
         <oasis:entry colname="col2">2.2</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mn mathvariant="normal">14.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mn mathvariant="normal">21.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">6.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.35</oasis:entry>
         <oasis:entry colname="col2">1.4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mn mathvariant="normal">29.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mn mathvariant="normal">24.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.35</oasis:entry>
         <oasis:entry colname="col2">1.8</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mn mathvariant="normal">18.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mn mathvariant="normal">22.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">3.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.35</oasis:entry>
         <oasis:entry colname="col2">2.2</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mn mathvariant="normal">13.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mn mathvariant="normal">20.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">7.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.38</oasis:entry>
         <oasis:entry colname="col2">1.4</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mn mathvariant="normal">33.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mn mathvariant="normal">25.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.38</oasis:entry>
         <oasis:entry colname="col2">1.8</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mn mathvariant="normal">21.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.7</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mn mathvariant="normal">23.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">2.0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">0.38</oasis:entry>
         <oasis:entry colname="col2">2.2</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mn mathvariant="normal">21.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">6.1</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e1798"><sup>∗</sup> The annual mean between 2010 and 2021, with the standard deviation representing interannual variability.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Inverse modeling setup</title>
      <p id="d2e2340">We used the Jena CarboScope Inversion System (Rödenbeck, 2005) to quantify <inline-formula><mml:math id="M140" 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 between the surface and the atmosphere globally from 2010 to 2021, with the evaluation and interpretation of fluxes focused on the Arctic–Boreal region. This is a linear Bayesian framework that infers surface–atmosphere <inline-formula><mml:math id="M141" 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 by combining prior flux estimates with atmospheric <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> mole fraction measurements and accounting for their respective uncertainties. The flux vector <inline-formula><mml:math id="M143" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> represents the net flux per grid cell per time step. The Jena CarboScope enables <inline-formula><mml:math id="M144" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> to be represented as the sum of different flux components, each of which is modelled independently using its own statistical linear flux model. These independent a priori error covariance structures allow deviations from the prior flux estimate to be attributed to specific components during the inversion process. In this study, the a priori shape uncertainty was defined as 100 % of the prior flux for each flux category. All flux categories were optimized, assuming spatial correlation lengths of <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and temporal correlation lengths of about 15 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>. Temporal and spatial fluxes are optimized within a Bayesian inversion framework that minimizes a cost function combining prior and observational constraints. The solution is obtained analytically using the linear Bayesian approach, which yields maximum posterior flux estimates and their associated uncertainties. Details of the cost function formulation and solution method can be found in the CarboScope technical report (Rödenbeck, 2005).</p>
      <p id="d2e2417">A total of 154 stations were assimilated for the global domain (Fig. 1, Table S1). These <inline-formula><mml:math id="M148" 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> observations were obtained from multiple global and regional networks (ICOS RI et al., 2024; Panov et al., 2021; Sasakawa et al., 2010, 2025; Schuldt et al., 2023), with the majority of sites located in the Northern Hemisphere, including 33 stations within the Arctic–Boreal domain. Most observational data used in this study were accessed through NOAA GML ObsPack (Schuldt et al., 2023), ICOS Carbon Portal (ICOS RI et al., 2024), World Data Centre for Greenhouse Gases (WDCGG) database (<ext-link xlink:href="https://doi.org/10.50849/WDCGG_CH4_ALL_2023" ext-link-type="DOI">10.50849/WDCGG_CH4_ALL_2023</ext-link>;  Dinoi et al., 2023), and JR-STATION network (Sasakawa et al., 2010, 2025); further details are provided in the “Data Availability section”. Detailed information on the stations with assimilated data is given in Table S1. For tower sites with multiple intake heights available, we assimilated only data from the highest height in the inversion, and for the continuous data, we use only daytime measurements. The transport model used in CarboScope is the TM3 global atmospheric tracer model, an Eulerian transport model that solves the continuity equation (and parameterizations of boundary layer and convective mixing) for atmospheric tracers in a three-dimensional grid over the globe (Heimann and Körner, 2003). The model has a spatial resolution of approximately 3.8° latitude by 5° longitude, with 19 vertical layers, and it is driven by meteorological inputs from the NCEP reanalysis dataset (Kalnay et al., 1996). Flux inversions were conducted at the TM3 spatial resolution and a daily temporal resolution. Since the model is initialized with a homogeneous background concentration of methane, it is run for at least one year before to the period of interest to avoid any impact resulting from the model spin-up. To account for model-data mismatch, including the representation error of the measurements within the transport model, each station is assigned a weekly error value based on how well the atmospheric transport model can capture local atmospheric dynamics. For example, for mountain sites and stations near shores samples are assigned a smaller error of 15 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>, whereas surface sites in regions with complex circulation patterns receive a larger error of 30 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>. Additionally, to ensure balanced representation across observational sites, particularly between continuous and sparse time series, we applied a data density weighting scheme, assigning equal influence to each weekly period, regardless of data frequency. Without this adjustment, sites with high-frequency data would dominate the cost function solely because of the greater number of observations. To avoid this, the uncertainty of each measurement is multiplied by the number of observations per week. This corresponds to the assumption that errors are correlated on weekly timescales, meaning that one week of hourly data provides roughly the same amount of independent information as one weekly flask sample (Rödenbeck, 2005).</p>
      <p id="d2e2450">Prior <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> flux estimates include five source categories, all of which were optimized: wetlands, other natural sources, anthropogenic, ocean and fire emissions. The monthly mean emissions from wetlands and fires were obtained from the JSBACH model (Kleinen et al., 2020), as previously described. Fire emissions represent the simulated biomass burning emissions of JSBACH and were prescribed as monthly varying prior fluxes. Additional natural sources, such as termites and wild animal emissions taken from JSBACH (Kleinen et al., 2020) and geological emissions from Etiope et al.  (2019) were combined as the “other natural source” category. Emissions from oceans were obtained from Weber et al. (2019) and implemented as a non-seasonal climatology. Anthropogenic emissions were obtained from the EDGAR inventories database (<uri>https://edgar.jrc.ec.europa.eu</uri>, last access: 24 January 2024)  version 8 (Crippa et al., 2023) and are provided as monthly global fluxes.  This category includes emissions from agriculture, livestock, waste management, fossil fuel exploitation and other minor anthropogenic sources except biomass burning. Emissions of <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> from inland water (freshwater) were not included as a separate prior category and are therefore not explicitly optimized in the inversion framework.</p>
      <p id="d2e2478"><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> chemical loss includes loss due to OH and Cl in the troposphere, as well as OH, Cl, and <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the stratosphere. For tropospheric OH, we use the monthly three-dimensional OH fields calculated by Spivakovsky et al.  (2000), which are based on observed climatological distributions of OH precursors and scaled to match the observed <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">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">CCl</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> lifetime. The monthly climatological loss rates of <inline-formula><mml:math id="M156" 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> in the stratosphere due to OH, Cl, and <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi><mml:msup><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> were derived from a simulation of the ECHAM5/MESSy1 chemistry transport model (Jöckel et al., 2006). Additionally, tropospheric Cl loss is simulated using a recent model-derived estimate of tropospheric Cl (Hossaini et al., 2016). The surface sink from upland soils and the ocean was implemented as a zeroth-order reaction with prescribed reaction rates that occur only in the surface-most model layer. Reaction rates for the microbial oxidation of atmospheric <inline-formula><mml:math id="M158" 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> in soil were based on the uptake estimates from the LPJ-Bern model (Spahni et al., 2011).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Evaluating Bottom-Up Emissions Using Top-Down Constraints</title>
      <p id="d2e2571">Previous studies have used atmospheric inversion models to evaluate different bottom-up estimates and determine which one best reproduces observed atmospheric <inline-formula><mml:math id="M159" 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> data (Kim et al., 2011; Miller et al., 2016), providing an effective framework for model evaluation. In this study, we evaluated the performance of different JSBACH parameterizations by using the <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> wetland emission outputs from each experiment as wetland prior fluxes in a top-down atmospheric inversion framework. The inversion then generated posterior fluxes, reflecting the adjustments needed to align the prior emissions with atmospheric <inline-formula><mml:math id="M161" 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> observations. These adjustments take into account uncertainties in atmospheric transport, observational errors, and model representation. In this study, we used the model adjustment defined as the difference between posterior and prior fluxes, calculated as the mean monthly and mean annual values across the Arctic–Boreal region from 2010 to 2021. First, we identified the parameterization resulting in the lowest mean model adjustment across the entire domain.</p>
      <p id="d2e2607">For the monthly analysis, we first computed the mean monthly prior flux and the mean monthly posterior flux, and then defined the model adjustment as the difference between these two means. For the annual analysis, we calculated the mean annual prior and posterior fluxes and again defined the adjustment as their difference. This allowed us to determine which JSBACH configuration provided the best overall agreement with atmospheric constraints at the pan-regional scale and investigate temporal variability.</p>
      <p id="d2e2610">Next, we examined spatial variability of the difference between posterior and prior fluxes using different JSBACH parameterizations as wetland priors.  At the grid-cell level, we identified the parameter combination that minimized annual model adjustment, thereby providing the best match to the top-down atmospheric constraints. To conduct this analysis, an ensemble of posterior fluxes was calculated based on each <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> production <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value from the prior wetland flux. This approach was supported by the observation that <inline-formula><mml:math id="M164" 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> production <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> significantly influenced <inline-formula><mml:math id="M166" 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> emission estimates compared to the baseline <inline-formula><mml:math id="M167" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction. Additionally, posterior fluxes from priors with different baseline <inline-formula><mml:math id="M168" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction scenarios remained highly similar for a given <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value. As a result, maps were created by calculating the absolute difference between the posterior ensemble of the respectively <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value and prior <inline-formula><mml:math id="M171" 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 experiment at each grid-cell. Then, the annual mean adjustment was calculated and we identified the parameterization that resulted in the smallest adjustment at each grid-cell. In summary, each grid-cell shows the experiment that best matched the atmospheric <inline-formula><mml:math id="M172" 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> observations.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and Discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Sensitivity of JSBACH <inline-formula><mml:math id="M173" 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> wetland emission estimates to <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> production <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and baseline <inline-formula><mml:math id="M176" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction in the Arctic–Boreal region</title>
      <p id="d2e2808">Table 1 summarizes the experiments and parameters combinations that have been tested in the JSBACH model and used as a wetland prior in the atmospheric inversions. Across the Arctic–Boreal region, our nine experiments produced annual mean <inline-formula><mml:math id="M177" 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> wetland estimates ranging from 13.8 to 33.5 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. These estimates are consistent with previously published bottom-up estimates of <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula>–50 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with most studies reporting mean values near 20–25 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Christensen et al., 1996; Ying et al., 2025; Yuan et al., 2024; Zhang et al., 2025). It should be noted that these studies consider different spatial domains and time periods. The estimates obtained using a <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value of 1.8 align most closely with this published range among our experiments.</p>
      <p id="d2e2913">Emissions peaked during the summer months (July–August), with a mean emission ranging from 6.8 to 15.5 <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. 2b). These larger emissions were followed by spring (May–June; range of 3.5–7.8 <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), autumn (September–October; range of 2.8–7.7 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and winter with the lower emissions (November–April; range of 0.7–2.7 <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The timing of the peak in wetland emissions aligns with previous bottom-up estimates (Ying et al., 2025). At the sub-regional scale, emissions showed substantial spatial variability (Fig. 2c). The highest annual mean fluxes were found in western Russia (3.4–8.7 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, depending on the parameter set), followed by eastern Canada (3.4–8.2 <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), eastern Russia (3.1–7.2 <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), western Canada (1.8–4.4 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), Europe including Greenland (1.5–3.4 <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and Alaska (0.5–1.6 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e3147">In general, increasing the baseline value of the <inline-formula><mml:math id="M193" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction from 0.33 to 0.38 increases <inline-formula><mml:math id="M194" 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> production. However, an increase in the <inline-formula><mml:math id="M195" 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> production <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> parameter decreases <inline-formula><mml:math id="M197" 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> production for temperatures below 295 <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> (the reference temperature) and increases it for temperatures higher than 295 <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>.  This means that increasing <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values from 1.4 to 2.2 reduces wetland <inline-formula><mml:math id="M201" 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 in the comparatively cold Arctic region (Table 1 and Fig. 2). The sensitivity of wetland <inline-formula><mml:math id="M202" 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> to the <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> temperature response and the baseline <inline-formula><mml:math id="M204" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction is evident when comparing seasonal cycles over the Arctic–Boreal domain (Fig. 2b). For example, contrasting the simulations with baseline <inline-formula><mml:math id="M205" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction equaling 0.33 and varying <inline-formula><mml:math id="M206" 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> production <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values (from 1.4 to 2.2), shows that increasing <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> significantly reduces annual wetland mean <inline-formula><mml:math id="M209" 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> emission in this region by <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">54</mml:mn></mml:mrow></mml:math></inline-formula> % (<inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). This reduction is not uniform throughout the year.  Although winter emissions are relatively low, increasing <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from 1.4 to 2.2 results in a <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula> % decrease compared to a <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> %–59 % decrease during the summer, spring and fall. Similarly, the influence of the baseline <inline-formula><mml:math id="M216" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction can be observed by keeping <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> constant, for example at 1.4, and varying the baseline <inline-formula><mml:math id="M218" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction from 0.33 to 0.38. This increase leads to an increase of up to 6 % in the annual wetland <inline-formula><mml:math id="M219" 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 for the region. In general, our parameter sensitivity tests show that <inline-formula><mml:math id="M220" 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> production <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has a stronger effect on emission variability than the baseline <inline-formula><mml:math id="M222" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction. These wetland <inline-formula><mml:math id="M223" 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> emission estimates with different parameterizations were subsequently integrated into the Jena CarboScope atmospheric inversion framework as wetland prior fluxes to determine the combination that closest align with atmospheric <inline-formula><mml:math id="M224" 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> observations, which means those requiring the minimum adjustment to fluxes from prior to posterior.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Evaluation of JSBACH <inline-formula><mml:math id="M225" 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 Using Inverse Modeling</title>
      <p id="d2e3553">Our nine inverse model estimates produce an annual mean total emission (i.e.  including natural and anthropogenic sources) for the Arctic–Boreal region ranging from 44.2 to 47.1 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with wetland emissions being the main <inline-formula><mml:math id="M227" 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> source to the atmosphere. Depending on the parameter set in the prior flux setup by JSBACH, the annual mean wetland emission ranges from 20.9 to 25.0 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (47 %–54 % of total emissions). The largest posterior wetland <inline-formula><mml:math id="M229" 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 were estimated for western Russia (range of 6.9–8.4 <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, depending on the parameter set), followed by eastern Russia (range of 6.0–7.5 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), eastern Canada (range of 4.3–4.9 <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), western Canada (range of 1.7–1.8 <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), Alaska (range of 1.0–2.0 <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and Europe including Greenland (range of 0.7–0.8 <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>)</p>
      <p id="d2e3763">At the pan-Arctic scale, posterior wetland fluxes are higher than prior fluxes in the experiments using <inline-formula><mml:math id="M236" 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> production <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values of 1.8 (8 %–22 % higher than prior) and 2.2 (37 %–54 % higher), see Table 1 and Fig. 3a. This suggests that these prior estimates underestimate <inline-formula><mml:math id="M238" 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 in the Arctic–Boreal region relative to the observation-constrained posterior fluxes. However, prior fluxes estimated using a <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value of 1.4 are higher than posterior fluxes (16 %–25 % higher than posterior), indicating overestimation of <inline-formula><mml:math id="M240" 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 in this case. When comparing the model adjustment for the three experiments (varying only the <inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> parameters), the prior flux using <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values of 1.8 produces the best agreement between prior and posterior flux budgets, meaning that a minimum adjustment in the inverse model optimization is required when considering annual mean emissions in the entire Arctic–Boreal region. Additionally, when comparing the different baseline <inline-formula><mml:math id="M243" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fractions (using the <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value with the best fit: 1.8), the minimum adjustment in the inverse model optimization is required for the prior flux with the largest baseline <inline-formula><mml:math id="M245" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction (0.38), with posterior flux being 8 % (2.0 <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) higher than the prior.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e3910"><bold>(a)</bold> Annual mean <inline-formula><mml:math id="M247" 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 (prior: full color bars; posterior: dashed color bars) for the entire Arctic–Boreal region using all nine inversion scenarios with the different values of <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> parameter and baseline <inline-formula><mml:math id="M249" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction in JSBACH wetland emissions. <bold>(b)</bold> adjustment of prior fluxes at monthly timesteps for the same model configurations as used in <bold>(a)</bold>. <bold>(c)</bold> relative annual mean model adjustment as percentage of prior (posterior ensemble minus prior flux) for each one of the sub-regions.  Positive values indicate regions where prior estimates underestimated emissions compared with posterior estimates, while negative values represent areas where prior emissions overestimate <inline-formula><mml:math id="M250" 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 compared with the posterior estimates.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2815/2026/bg-23-2815-2026-f03.png"/>

        </fig>

      <p id="d2e3980">Our posterior estimates of <inline-formula><mml:math id="M251" 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 from wetlands are similar to previous Arctic–Boreal estimates. Using a process-oriented ecosystem model, Christensen et al. (1996) estimated a total <inline-formula><mml:math id="M252" 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 from northern wetlands and tundra (<inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula>° N) to be <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Yuan et al. (2024) reported a mean annual emission of <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:mn mathvariant="normal">20.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> from Boreal–Arctic wetland based on upscaled flux observations for the period 2002–2021. The Global Carbon Project estimated a mean annual wetland (including inland freshwaters) <inline-formula><mml:math id="M258" 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> emission for regions north of 60° N at 24 (9–53) <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, while top-down approaches resulted in a lower estimate of 9 (7–17) <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the same region (Saunois et al., 2025).  Recently, Ying et al. (2025) estimated an annual mean <inline-formula><mml:math id="M261" 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 from vegetated wetlands north of 45° N during 2016–2022 at <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mn mathvariant="normal">22.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, ranging from <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mn mathvariant="normal">15.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mn mathvariant="normal">51.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, depending on the wetland dataset used in the machine-learning-based upscaling approach. Although our posterior estimates are within the range of previous Arctic–Boreal estimates, direct comparisons are difficult because of differences in the study period, methodological approach, and inconsistent or unclear definitions of the spatial domain.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Seasonal variability in optimum <inline-formula><mml:math id="M267" 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> production <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> settings</title>
      <p id="d2e4268">Before analyzing regional differences in optimum <inline-formula><mml:math id="M269" 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> production <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> settings, we first focused on a clear seasonal pattern in the adjustments between prior and posterior <inline-formula><mml:math id="M271" 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, which showed a peak of changes occurring during summer. We therefore assessed whether the <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value resulting in the minimum adjustment remained constant throughout the year or varied by season. At a pan-Arctic scale, seasonal variations were evident: estimates using <inline-formula><mml:math id="M273" 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> production <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> equaling 1.8 aligned better with atmospheric observations in spring and fall but substantially underestimated summer emissions (Fig. 3b). In contrast, estimates using a <inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of 1.4 best aligned with the atmospheric observation during summer, reducing the discrepancy between top-down and bottom-up estimates during the growing season, but strongly overestimating emissions in spring and fall (Fig. 3b). This pattern is primarily driven by wetlands in Russia. Bergman et al. (2000) found temporal variation in <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at peatland sites, suggesting that factors such as the availability of easily degradable compounds (e.g., root exudates) and the activity of anaerobic microbial biomass influence <inline-formula><mml:math id="M277" 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> production rates alongside temperature.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Spatial patterns of best-fit model results based on posterior fluxes</title>
      <p id="d2e4379"><inline-formula><mml:math id="M278" 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 exhibited spatial variability, and model adjustments were not uniform across the domain. This suggests that the optimal parameterization varies by region and seasons (as discussed in Sect. 3.3).  In some areas, <inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values of 1.4 or 2.2 resulted in minimal adjustments (Fig. 3c), outperforming the model using a <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> equaling 1.8 that was shown to work best as an average setting across the entire domain. To better evaluate this variability and explore ways to reduce uncertainty in specific regions, we assessed the best parameterization fit with observations at the per grid-cell level (Fig. 4).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e4416">Map of the prior flux setting leading to minimum model adjustment (posterior ensemble minus prior fluxes) for the annual mean fluxes at each grid-cell for the Arctic–Boreal region varying the <bold>(a)</bold> <inline-formula><mml:math id="M281" 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> production <inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> parameter only, <bold>(b)</bold> baseline <inline-formula><mml:math id="M283" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction only and <bold>(c)</bold> both <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> parameter and baseline <inline-formula><mml:math id="M285" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction. As mentioned in Sect. 3.2, the configuration with Q<inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M287" display="inline"><mml:mrow><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:mn mathvariant="normal">0.38</mml:mn></mml:mrow></mml:math></inline-formula> provides the best fit at the pan-Arctic scale. However, regional results show that this configuration does not minimize flux adjustments everywhere.</p></caption>
          <graphic xlink:href="https://bg.copernicus.org/articles/23/2815/2026/bg-23-2815-2026-f04.jpg"/>

        </fig>

      <p id="d2e4531">In our first analysis, we evaluated the spatial best fit model by keeping the baseline constant at a value of 0.35 and varying the <inline-formula><mml:math id="M288" 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> production <inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values (Fig. 4a). This spatial analysis showed that, in general, in regions with large wetland areas and high annual <inline-formula><mml:math id="M290" 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 (for example the Western Siberian Lowlands, Figs. S1 and S2 in the Supplement) a <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value of 1.4 resulted in the smallest model adjustment. As an increase in the <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> parameter decreases <inline-formula><mml:math id="M293" 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> production for temperatures below 295 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, a higher <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value in these regions results in an underestimation of emissions. In contrast, regions such as Europe and northern Canada showed, in general, minimum model adjustments with a <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value of 2.2, suggesting that lower <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value would overestimate wetland <inline-formula><mml:math id="M298" 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 in these regions. Interestingly, we observed adjustments with different signs in eastern Canada depending on the parameterization. For example, positive adjustments were associated with <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value of 2.2, as the prior emissions were underestimated compared with the estimated flux inferred from atmospheric observations.  Additionally, we analyzed the effect of varying baseline flux values while keeping <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> constant as 1.8, which showed that in high-emission areas, for example the Western Siberian Lowlands (Figs. S1 and S2), in general a larger baseline flux value led to the smallest model adjustments (Fig. 4b). When considering the model adjustment for all sensitivity tests (varying both <inline-formula><mml:math id="M301" 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> production <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and baseline <inline-formula><mml:math id="M303" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction) as shown in Fig. 4c, we also found a consistent pattern that confirmed the above findings varying only single parameters: the combination of higher baseline fluxes and lower <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value (Q<inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula>) best captured <inline-formula><mml:math id="M306" 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> dynamics in <inline-formula><mml:math id="M307" 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> hotspots, as the Western Siberia Lowlands.</p>
      <p id="d2e4762">The wide range of reported incubation-based <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values for <inline-formula><mml:math id="M309" 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> production in Arctic and northern wetlands depending on the site, substrate, and season, shows that the temperature sensitivity of <inline-formula><mml:math id="M310" 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> production varies considerably across environments (Bergman et al., 2000; Roy Chowdhury et al., 2015; Treat et al., 2015). This variability, which could be driven by factors such as vegetation type, organic matter quality, and microbial activity, emphasizes the necessity of models to account for spatial differences in process rates. For example, one synthesis study reported a mean <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value of 1.18 for <inline-formula><mml:math id="M312" 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> production under Arctic soil conditions (Roy Chowdhury et al., 2015; Treat et al., 2015). Roy Chowdhury et al. (2015) used anoxic laboratory incubations of active layer and permafrost samples from the Barrow Environmental Observatory in Alaska and reported a range of <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values from 1.8 to 22. Lupascu et al. (2012) reported that <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values describing the <inline-formula><mml:math id="M315" 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> production response of peat to a 10 <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> temperature change ranged from 1.9 to 3.5 in sedge sites and from 2.4 to 5.8 in <italic>Sphagnum</italic> mire sites, and suggested that using spatially variable <inline-formula><mml:math id="M317" 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> production <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values could improve the accuracy of <inline-formula><mml:math id="M319" 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> flux modeling in northern wetlands. Furthermore, Bergman et al. (2000) found that the seasonal average <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values ranged from approximately 4.6 to 9.2 depending on the plant community of the various peat types. Here, our intent is not to directly compare our results with reported incubation-based values, since our adjustments in the <inline-formula><mml:math id="M321" 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> production <inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> refer to the <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of the <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:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> production ratio, as represented in the model, and could not directly be comparable with <inline-formula><mml:math id="M325" 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> production <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the literature review. In JSBACH, the <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> applied to <inline-formula><mml:math id="M328" 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> production controls the fraction of <inline-formula><mml:math id="M329" 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> generated, but the surface emission ratio may still be lower due to oxidation and transport pathways. Together, these examples highlight that <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> production is strongly temperature dependent, and that the degree of this dependency can differ across regions and time periods. However, most current models cannot fully capture the influence of these factors due to structural limitations or a lack of detailed input data that is both spatially and temporally resolved. Consequently, these environmental drivers are often oversimplified or overlooked. Adjusting the <inline-formula><mml:math id="M331" 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> production <inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values, as we do here, offers a useful initial approach, but it should not be seen as a long-term solution. Ideally, future model and data developments will enable <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> production <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values to adjust dynamically in response to underlying biophysical conditions, such as shifts in vegetation or organic matter characteristics. This will allow models to operate with a more generalizable formulation that still captures observed heterogeneity. Recent studies have demonstrated the potential of methane data assimilation techniques to optimize process-model parameters using observational constraints (Bernard et al., 2025; Monteil et al., 2025); however, regional and seasonal optimization remains largely unexplored.  While our model experiments identified a single <inline-formula><mml:math id="M335" 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> production <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value that best agrees with observations at the pan-Arctic scale, they also showed that <inline-formula><mml:math id="M337" 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 and model adjustments vary regionally. Some areas showed a substantial response to different <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values, which further demonstrates that an approach using a single parameter value is not sufficient. This highlights the need for future data assimilation frameworks that allow for regional, and potentially seasonal, parameter optimization.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Limitations of Top-Down <inline-formula><mml:math id="M339" 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> estimates</title>
      <p id="d2e5141">Our analysis shows that atmospheric inverse modeling is a useful tool for evaluating and guiding process-model parameterizations when estimating wetland <inline-formula><mml:math id="M340" 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. However, it is important to note the limitations of the top-down approach, especially its relatively coarse spatial resolution. Global inversions usually operate at spatial scales larger than the process models, limiting their ability to resolve fine-scale heterogeneity, local emission hotspots, and small-scale processes.  Consequently, grid-cell-level emission estimates represent aggregated signals and cannot fully capture localized variability.</p>
      <p id="d2e5155">Additionally, top-down estimates rely heavily on the spatial and temporal distribution of atmospheric observations assimilated into the model. Regions with sparce coverage, such as central and eastern Russia, can limit the ability to accurately identify emission sources and increase dependence on prior estimates. Furthermore, most surface observation sites at high latitudes only started providing measurements in the early 2010s. This limits the ability to assess multi-decadal changes in <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> emissions (Vogt et al., 2025).</p>
      <p id="d2e5169">At the grid-cell scale, assimilating only atmospheric <inline-formula><mml:math id="M342" 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> observations reflect the combined influence of all sources and sinks, making it difficult to distinguish overlapping source sectors. However, differences in the spatial patterns and seasonality of emissions can be constrained by atmospheric <inline-formula><mml:math id="M343" 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> observations in inversions that solve for different source categories (Saunois et al., 2025). Furthermore, errors in atmospheric transport model can propagate into emission estimates (Houweling et al., 2017; Locatelli et al., 2013; Schuh et al., 2019). Despite these limitations, our approach demonstrated a strong potential to help reduce the discrepancy between bottom-up and top-down estimates, therefore improving the accuracy of wetland <inline-formula><mml:math id="M344" 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> emission estimates.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e5214">Overall, our parameter sensitivity tests of bottom-up wetland emissions indicate that <inline-formula><mml:math id="M345" 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> production <inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> has a stronger effect on emission variability than the baseline <inline-formula><mml:math id="M347" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction. Our bottom-up estimates showed that increasing <inline-formula><mml:math id="M348" 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> production <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from 1.4 to 2.2 decreased the annual mean wetland <inline-formula><mml:math id="M350" 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> emission in the Arctic–Boreal region by half. In addition, our analysis shows that a single <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value cannot capture the complexity of <inline-formula><mml:math id="M352" 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> emission dynamics across the Arctic–Boreal region. <inline-formula><mml:math id="M353" 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> production <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values of 1.8 and 2.2 underestimate hotspot emissions, mainly during summer. In contrast, a <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value of 1.4 overestimates emissions in regions with lower annual mean wetland emissions, such as e.g., Europe and northern Canada.  Furthermore, a baseline <inline-formula><mml:math id="M356" display="inline"><mml:mrow><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:mrow></mml:math></inline-formula> fraction value of 0.38 led to the smallest model adjustments in <inline-formula><mml:math id="M357" 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> hotspots. These findings emphasize the importance of selecting appropriate parameterizations to accurately represent wetland emissions, especially in regions with substantial <inline-formula><mml:math id="M358" 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. Future models should incorporate dynamic, data-driven adjustments to reflect underlying environmental controls more accurately. If a varying <inline-formula><mml:math id="M359" 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> production <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value approach is not feasible for this region due to computational cost or model setup constraints, using a <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value of 1.8 provides the more similar <inline-formula><mml:math id="M362" 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> emission estimates compared to the atmospheric data across the entire Arctic–Boreal region.</p>
      <p id="d2e5426">Our results demonstrate that, despite the inherent limitations of top-down approaches when it comes to resolving fine scale heterogeneity, combining atmospheric inversions and process-models provides an important tool for reconciling discrepancies between bottom-up and top-down estimates, thereby improving constraints on large-scale wetland methane emissions. Guidance by atmospheric inversion could therefore be instrumental to ensure the regional representativeness, and where applicable temporal variability, of process model parameter settings.</p>
</sec>

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

      <p id="d2e5434">The prior and posterior mean Arctic–Boreal <inline-formula><mml:math id="M363" 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 on the CarboScope model horizontal resolution are publicly available on Zenodo <ext-link xlink:href="https://doi.org/10.5281/zenodo.19201813" ext-link-type="DOI">10.5281/zenodo.19201813</ext-link> (Basso et al., 2026). Observations from the NOAA GML network can be downloaded from the dedicated Observation Package (ObsPack) web server at <ext-link xlink:href="https://doi.org/10.25925/20231001" ext-link-type="DOI">10.25925/20231001</ext-link> (Schuldt et al., 2023). The dataset “European atmospheric <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <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> and <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> Mole Fraction data product – 2024” analyzed during the current study was downloaded from the ICOS Carbon portal, <ext-link xlink:href="https://doi.org/10.18160/KDMT-V6CG" ext-link-type="DOI">10.18160/KDMT-V6CG</ext-link> (ICOS RI et al., 2024). The observations from the WDCGG dataset are available at <ext-link xlink:href="https://doi.org/10.50849/WDCGG_CH4_ALL_2023" ext-link-type="DOI">10.50849/WDCGG_CH4_ALL_2023</ext-link> (Dinoi et al., 2023). ATTO tower data can be request at <uri>https://www.attodata.org/</uri> (last access: 27 March 2024). Observations from the Japan–Russia Siberian Tall Tower Inland Observation Network (JR-STATION (Sasakawa et al., 2010)) can be downloaded from <ext-link xlink:href="https://doi.org/10.17595/20231117.001" ext-link-type="DOI">10.17595/20231117.001</ext-link> (Sasakawa and Machida, 2023a), <ext-link xlink:href="https://doi.org/10.17595/20231117.002" ext-link-type="DOI">10.17595/20231117.002</ext-link> (Sasakawa and Machida, 2023b), <ext-link xlink:href="https://doi.org/10.17595/20231117.004" ext-link-type="DOI">10.17595/20231117.004</ext-link> (Sasakawa and Machida, 2023c), <ext-link xlink:href="https://doi.org/10.17595/20231117.005" ext-link-type="DOI">10.17595/20231117.005</ext-link> (Sasakawa and Machida, 2023d), <ext-link xlink:href="https://doi.org/10.17595/20231117.006" ext-link-type="DOI">10.17595/20231117.006</ext-link> (Sasakawa and Machida, 2023e), <ext-link xlink:href="https://doi.org/10.17595/20231117.007" ext-link-type="DOI">10.17595/20231117.007</ext-link> (Sasakawa and Machida, 2023f), <ext-link xlink:href="https://doi.org/10.17595/20231117.008" ext-link-type="DOI">10.17595/20231117.008</ext-link> (Sasakawa and Machida, 2023g). <inline-formula><mml:math id="M367" 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> observations from the western Taimyr Peninsula (Siberia) can be downloaded from <ext-link xlink:href="https://doi.org/10.17632/gcts3dddrh.1" ext-link-type="DOI">10.17632/gcts3dddrh.1</ext-link> (Panov, 2022).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e5536">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-23-2815-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-23-2815-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5545">LSB, MG, GG, VB designed the methodology. LSB wrote the first version of the manuscript and performed analysis and <inline-formula><mml:math id="M368" 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> inversions. GG performed and provided the JSBACH simulations. CR provided guidance and technical support for the inverse modelling. CB provided additional input on the discussion of results. All authors contributed with analysis and text. MG supervised and acquired funding.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5562">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e5568">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e5574">The authors were funded by the European Research Council (ERC synergy project Q-Arctic, grant agreement no. 951288), the German Federal Ministry of Research, Technology and Space (MOMENT project, support code 03F0931G), and the AMPAC-net initiative (European Space Agency, grant no.  4000137912/22/I-DT). The authors would also like to thank Dr. Santiago Botía at MPI-BGC/BSI for his valuable comments and suggestions, which helped us to improve this manuscript. The authors would like to acknowledge the contributions of Tonatiuh Nunez Ramirez, who designed the <inline-formula><mml:math id="M369" 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> chemistry model for CarboScope inversion system used in this work.</p><p id="d2e5587">We would like to thank all Principal Investigators and supporting staff for setting up and maintaining observation sites around the world, particularly in the Arctic, and for making the data available through different databases, including NOAA Obspack, ICOS RI, WDCGG and JR-STATION. The ICOS activities at Ricerca sul Sistema Energetico (PRS) station are financed by the Research Fund for the Italian Electrical System under the Three-Year Research Plan 2025–2027 (MASE, Decree no. 388 of 6 November 2024), in compliance with the Decree of 12 April 2024. Although not fundamental to our study, we use ATTO methane data from 2012 to 2019 and for this we want to acknowledge Jost Lavric and the ATTO consortium for making the data available. This work is based on use of Large Research Infrastructure CzeCOS supported by the Ministry of Education, Youth and Sports of CR within the CzeCOS program, grant no. LM2023048.</p><p id="d2e5589">Parts of the text was language-edited for grammatical correctness using DeepL. The authors have reviewed and verified the content as needed and take full responsibility for it.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5594">The authors were funded by the European Research Council (ERC synergy project Q-Arctic, grant agreement no. 951288), the German Federal Ministry of Research, Technology and Space (MOMENT project, support code 03F0931G), and the AMPAC-net initiative (European Space Agency, grant no. 4000137912/22/I-DT).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="d2e5605">This paper was edited by Akihiko Ito and reviewed by three anonymous referees.</p>
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