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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ESSD</journal-id><journal-title-group>
    <journal-title>Earth System Science Data</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ESSD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Earth Syst. Sci. Data</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1866-3516</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/essd-18-6565-2026</article-id><title-group><article-title>Satellite-based inversion of global methane fluxes: capabilities and implications of GOSAT-2 measurements</article-title><alt-title>Satellite-based inversion of global methane fluxes</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Saito</surname><given-names>Makoto</given-names></name>
          <email>saito.makoto@nies.go.jp</email>
        <ext-link>https://orcid.org/0009-0009-6942-9802</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Niwa</surname><given-names>Yosuke</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7600-9816</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yoshida</surname><given-names>Yukio</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3515-1488</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Suto</surname><given-names>Hiroshi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Shiomi</surname><given-names>Kei</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1206-8614</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kamei</surname><given-names>Akihide</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Kataoka</surname><given-names>Fumie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Morino</surname><given-names>Isamu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2720-1569</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Noda</surname><given-names>Hibiki M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0467-0899</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ohyama</surname><given-names>Hirofumi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2109-9874</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Saeki</surname><given-names>Tazu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1900-1786</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Someya</surname><given-names>Yu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6176-3664</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Yashiro</surname><given-names>Hisashi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2678-526X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Matsunaga</surname><given-names>Tsuneo</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3380-5230</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Earth System Division, National Institute for Environmental Studies, Tsukuba, 305-8506, Ibaraki, Japan</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Japan Aerospace Exploration Agency, Tsukuba, 305-8505, Ibaraki, Japan</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Remote Sensing Technology Center of Japan, Minato-ku, 105-0001, Tokyo, Japan</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Makoto Saito (saito.makoto@nies.go.jp)</corresp></author-notes><pub-date><day>9</day><month>September</month><year>2026</year></pub-date>
      
      <volume>18</volume>
      <issue>9</issue>
      <fpage>6565</fpage><lpage>6588</lpage>
      <history>
        <date date-type="received"><day>4</day><month>March</month><year>2026</year></date>
           <date date-type="rev-request"><day>13</day><month>March</month><year>2026</year></date>
           <date date-type="rev-recd"><day>27</day><month>August</month><year>2026</year></date>
           <date date-type="accepted"><day>27</day><month>August</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Makoto Saito 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://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026.html">This article is available from https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026.html</self-uri><self-uri xlink:href="https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026.pdf">The full text article is available as a PDF file from https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e212">Methane (CH<sub>4</sub>) is a key greenhouse gas with a strong climate impact and a relatively short atmospheric lifetime, making accurate monitoring essential for mitigation strategies. Satellite observations provide global coverage and independent constraints on CH<sub>4</sub> emission estimates, and GOSAT-2, launched in 2018 as the successor to GOSAT, was designed to improve retrieval accuracy and enhance flux estimation. This study presents an evaluation of the GOSAT-2 Level 4 (G2L4) CH<sub>4</sub> flux product, supported by analysis of the underlying Level 2 (L2) XCH<sub>4</sub> retrievals, and summarizes key findings on global and regional CH<sub>4</sub> budgets. Using an atmospheric inversion framework, we generated G2L4 posterior CH<sub>4</sub> fluxes and assessed their consistency by comparing them with inversions constrained by alternative observational datasets, including GOSAT L2 retrievals and ground-based and aircraft measurements. GOSAT-2 achieved substantial improvements in observational coverage and data density compared to its predecessor, particularly in tropical and high-latitude regions. Posterior flux estimates derived from G2L4 are broadly consistent with global CH<sub>4</sub> budgets reported in synthesis studies, while prior-to-posterior differences reveal positive corrections in tropical regions and negative adjustments in several mid-latitude industrial areas. A preliminary sector-focused assessment further demonstrates the potential of GOSAT-2 to inform anthropogenic CH<sub>4</sub> emission evaluations in regions where such sources dominate. These findings highlight the value of GOSAT-2 observations for improving regional and global CH<sub>4</sub> emission estimates and underscore priorities for future improvements in retrieval algorithms, observation strategies, and integration with complementary datasets. The analysis-ready subsets of the GOSAT and GOSAT-2 data used in this study are available from Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.18883060" ext-link-type="DOI">10.5281/zenodo.18883060</ext-link>, <xref ref-type="bibr" rid="bib1.bibx42" id="altparen.1"/>).</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e312">Methane (CH<sub>4</sub>) is one of the most important greenhouse gases and a major contributor to anthropogenic climate forcing, the atmospheric amount of which has increased to more than 2.5 times its pre-industrial level. This rapid increase has made CH<sub>4</sub> a major contributor to climate change, ranking just behind carbon dioxide (CO<sub>2</sub>) in terms of radiative forcing <xref ref-type="bibr" rid="bib1.bibx52" id="paren.2"/>. Its concentration is now increasing faster than at any time since the 1980s <xref ref-type="bibr" rid="bib1.bibx30" id="paren.3"/>. CH<sub>4</sub> is a short-lived climate forcer with an atmospheric lifetime of roughly a decade, which means that taking action now can quickly reduce atmospheric concentrations and lead to similarly rapid reductions in climate forcing. Moreover, CH<sub>4</sub> contributes to the formation of ground-level ozone, so mitigation would also help decrease ozone-related air pollution. A better understanding of the CH<sub>4</sub> budget at various scales from local to global is essential to constrain atmospheric concentrations and to design effective mitigation strategies that limit global warming to 1.5 °C this century.</p>
      <p id="d2e376">However, efforts to understand the CH<sub>4</sub> budgets remain challenging because atmospheric variability reflects a complex interplay of anthropogenic sources, natural emissions such as wetlands, and chemical sinks. For instance, the renewed increase in the global CH<sub>4</sub> burden since 2007, accompanied by a significant shift toward more depleted <sup>13</sup>C in atmospheric CH<sub>4</sub>, has yet to be fully explained, with multiple contributing factors still under debate <xref ref-type="bibr" rid="bib1.bibx69 bib1.bibx30 bib1.bibx20" id="paren.4"><named-content content-type="pre">e.g.,</named-content></xref>. These uncertainties highlight the need for comprehensive observations. However, existing ground-based and aircraft observations are unevenly distributed and provide limited coverage in regions where CH<sub>4</sub> emissions are large or highly variable. Capturing the full spatial and temporal variability of CH<sub>4</sub> therefore requires observational systems that can deliver consistent measurements at the global scale. Consequently, satellite measurements potentially provide a unique opportunity to deliver global coverage and independent constraints on CH<sub>4</sub> emissions.</p>
      <p id="d2e448">Instruments aboard Earth-observing satellites retrieve CH<sub>4</sub> concentrations by measuring solar radiation reflected from the Earth's surface and attenuated by gas absorption at specific wavelengths. Instruments are designed to target absorption bands of CO<sub>2</sub> and CH<sub>4</sub> in the shortwave infrared (SWIR) region, which provides sensitivity to variations in column abundance, including contributions from the lower troposphere that are relevant for surface flux estimation. To reduce uncertainties caused by scattering from clouds and aerosols, absorption bands of oxygen (O<sub>2</sub>), whose atmospheric abundance is nearly constant, are also observed to correct for variations in optical path length. Satellite-based CH<sub>4</sub> monitoring began with the SCIAMACHY (SCanning Imaging Absorption spectroMeter for Atmospheric CHartographY) instrument aboard ENVISAT, which was launched in 2002 and provided the first global measurements of greenhouse gases from space <xref ref-type="bibr" rid="bib1.bibx12" id="paren.5"/>. This was followed by the launch of GOSAT (Greenhouse gases Observing SATellite) in 2009, the world's first dedicated greenhouse gas observation satellite, which delivered high-precision column-averaged dry-air mole fraction of CO<sub>2</sub> and CH<sub>4</sub> (XCO<sub>2</sub> and XCH<sub>4</sub>) and enabled robust global CH<sub>4</sub> budget assessments <xref ref-type="bibr" rid="bib1.bibx71" id="paren.6"/>. Subsequent missions, such as the TROPOMI (TROPOspheric Monitoring Instrument) instrument aboard Sentinel-5P offering wide coverage and frequent observations, have further advanced CH<sub>4</sub> monitoring <xref ref-type="bibr" rid="bib1.bibx21" id="paren.7"/>.</p>
      <p id="d2e561">These satellite-based CH<sub>4</sub> observations have significantly advanced our understanding of CH<sub>4</sub> sources and sinks. Early studies demonstrated that XCO<sub>2</sub> and XCH<sub>4</sub> data can be retrieved with high precision from SWIR measurements <xref ref-type="bibr" rid="bib1.bibx74" id="paren.8"/>, and validation frameworks using ground truth provided by TCCON (Total Carbon Column Observing Network) were established to ensure data accuracy <xref ref-type="bibr" rid="bib1.bibx70" id="paren.9"/>. Building on these capabilities, atmospheric inversion ensembles incorporating satellite observations have contributed to constraining both natural and anthropogenic CH<sub>4</sub> emissions, particularly in regions with sparse ground-based coverage such as developing countries <xref ref-type="bibr" rid="bib1.bibx6" id="paren.10"/>. Satellite data have also provided essential measurements that support the quantification of regional and sectoral contributions to the global CH<sub>4</sub> budget <xref ref-type="bibr" rid="bib1.bibx77" id="paren.11"/> and evaluation of national emissions from anthropogenic activities <xref ref-type="bibr" rid="bib1.bibx4" id="paren.12"/>. Beyond large-scale assessments, satellite observations have revealed critical events and natural source dynamics, including extreme CH<sub>4</sub> leakage from a natural gas well blowout <xref ref-type="bibr" rid="bib1.bibx40" id="paren.13"/> and the spatial and temporal distribution of global wetland emissions <xref ref-type="bibr" rid="bib1.bibx3" id="paren.14"/>. These advances underscore the pivotal role of satellite measurements in improving CH<sub>4</sub> emission inventories and guiding mitigation strategies.</p>
      <p id="d2e660">Motivated by the successful achievements of space-based XCH<sub>4</sub> measurements and the need for continuous long-term monitoring of greenhouse gases, GOSAT-2 was launched in 2018 as the successor to GOSAT <xref ref-type="bibr" rid="bib1.bibx14" id="paren.15"/>. The mission was designed to improve the accuracy of greenhouse gas flux estimates and to enable more robust assessments of anthropogenic emissions, including those from large urban areas. To meet these objectives, GOSAT-2 introduced several enhancements: improved signal-to-noise ratio (SNR) for higher retrieval precision, an expansion of the spectral coverage to include absorption by carbon monoxide (CO) to better characterize fossil fuel emissions, and expanded target observation strategies to increase the number of quality-screened measurements for national-scale emission estimates. Following its initial public release, the GOSAT-2 XCH<sub>4</sub> data product has been continuously improved through updates to spectral radiance data and retrieval algorithms. These continuous enhancements and the growing long-term record enable the use of GOSAT-2 XCH<sub>4</sub> data for estimating CH<sub>4</sub> sources and sinks at both regional and global scales.</p>
      <p id="d2e702">This study focuses on two key GOSAT-2 data products. The Level 2 SWIR XCH<sub>4</sub> product (version V02.10) provides an updated long-term record of satellite-based CH<sub>4</sub> columns with improved retrieval performance and substantially expanded spatial coverage compared to GOSAT. In addition, we present the first public release of the GOSAT-2 Level 4 CH<sub>4</sub> flux product, which delivers monthly CH<sub>4</sub> surface fluxes at 1° resolution derived exclusively from GOSAT-2 observations. Together, these datasets offer a new basis for evaluating global and regional CH<sub>4</sub> budgets using the enhanced capabilities of the GOSAT-2 mission.</p>
      <p id="d2e750">Building on these datasets, this paper provides an overview of the GOSAT-2 mission and evaluates its XCH<sub>4</sub> data product and CH<sub>4</sub> flux estimates. Section 2 describes the sensor specifications of GOSAT-2 as well as the data and modeling system used in this study, while Sect. 3 presents key findings on the global distribution of XCH<sub>4</sub> and CH<sub>4</sub> budgets. Finally, we discuss the implications of these results for regional source and sink estimates and for assessments of anthropogenic emissions.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>GOSAT-2 satellite system and instruments</title>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Satellite bus design</title>
      <p id="d2e811">The GOSAT-2 satellite bus system follows the basic design of the first mission, GOSAT, with several modifications introduced based on operational experience. Key enhancements include an enlarged solar array and increased power generation capacity, enabling stable full-operation even under partial system failure. The sensor was repositioned to reduce stray light from the solar array, and the overall bus configuration was adjusted accordingly to maintain thermal stability and instrument performance. These design updates contribute to the broader observational coverage provided by GOSAT-2 compared with its predecessor.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Orbital configuration</title>
      <p id="d2e822">A major change from the GOSAT mission is the adoption of a six-day repeat cycle for GOSAT-2, compared with the three-day cycle of GOSAT. This configuration reduces the spacing between adjacent ground tracks at the equator, providing denser spatial sampling along the orbit. The improved sampling supports more uniform global coverage for SWIR observations of CH<sub>4</sub>, especially in low-latitude regions where cloudiness often limits data availability. The repeat cycle is determined by the satellite's altitude and inclination, and for GOSAT-2 the orbit was set to 613 km, corresponding to 89 revolutions in six days. The local solar time at the descending node is maintained at 13:00 <inline-formula><mml:math id="M56" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15 min. In addition, the orbit was designed to pass directly over the Lamont TCCON site to enable regular cross-validation under frequent clear-sky conditions.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><title>Primary instruments</title>
      <p id="d2e849">GOSAT-2 is equipped with two primary instruments: <list list-type="bullet"><list-item>
      <p id="d2e854">TANSO-FTS-2 (Thermal And Near infrared Sensor for carbon Observation-Fourier Transform Spectrometer-2)</p></list-item><list-item>
      <p id="d2e858">TANSO-CAI-2 (Cloud and Aerosol Imager-2)</p></list-item></list> Similar to the TANSO-FTS instrument onboard GOSAT, TANSO-FTS-2 performs spectroscopic measurements using a Fourier Transform Spectrometer (FTS). It is equipped with five detector bands covering wavelengths from SWIR to thermal infrared (TIR), enabling the observation of atmospheric concentrations of CO<sub>2</sub>, CH<sub>4</sub>, water vapor (H<sub>2</sub>O), O<sub>2</sub>, ozone (O<sub>3</sub>), and CO. A detailed summary of the wavelength coverage for each band is provided in Table <xref ref-type="table" rid="T1"/>.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e913">Summary of TANSO-FTS-2 instrument.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Band 1</oasis:entry>
         <oasis:entry colname="col3">Band 2</oasis:entry>
         <oasis:entry colname="col4">Band 3</oasis:entry>
         <oasis:entry colname="col5">Band 4</oasis:entry>
         <oasis:entry colname="col6">Band 5</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Wavelength range</oasis:entry>
         <oasis:entry colname="col2">12 950–13 250</oasis:entry>
         <oasis:entry colname="col3">5900–6400</oasis:entry>
         <oasis:entry colname="col4">4200–5200</oasis:entry>
         <oasis:entry colname="col5">1188–1800</oasis:entry>
         <oasis:entry colname="col6">700–1188</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(cm<sup>−1</sup>) [<inline-formula><mml:math id="M63" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>]</oasis:entry>
         <oasis:entry colname="col2">[0.75–0.77]</oasis:entry>
         <oasis:entry colname="col3">[1.56–1.69]</oasis:entry>
         <oasis:entry colname="col4">[1.92–2.33]</oasis:entry>
         <oasis:entry colname="col5">[5.5–8.4]</oasis:entry>
         <oasis:entry colname="col6">[8.4–14.3]</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Out-of-band</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">750</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5100</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">4100</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">characteristics (cm<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">13</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">450</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">6800</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">5500</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3800</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1300</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Polarization</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M75" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M76" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M77" display="inline"><mml:mo>○</mml:mo></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">–</oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Spectral resolution (cm<sup>−1</sup>)</oasis:entry>
         <oasis:entry namest="col2" nameend="col6" align="center">0.2 (Double-sides scan) (MOPD <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> cm) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FWHM of instrument</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry namest="col3" nameend="col6" align="center"><inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.27</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">function (cm<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e1295">TANSO-FTS-2 employs a double-pendulum interferometer. In this configuration, the intersection of the flexure blades serves as the rotation axis, and the scanner arm moves in either the clockwise (forward) or counterclockwise (backward) direction. Each forward or backward movement constitutes one scan, during which a single observation dataset is acquired. Because the instrument characteristics differ between forward and backward scans, the data processing algorithm identifies the scan direction and handles the data accordingly. In addition, the forward/backward viewing geometry is used in coordination with TANSO-CAI-2 to avoid sun-glint over the ocean and to improve cloud discrimination, contributing to increased numbers of usable ocean observations.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS4">
  <label>2.1.4</label><title>Observation geometry and Intelligent Pointing</title>
      <p id="d2e1306">The detector employs a circular point sensor, producing a footprint with a diameter of 9.7 km at nadir. This field of view can be steered using mirrors within <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">40</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula> in the along-track (AT) direction and <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">35</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula> in the cross-track (CT) direction using a two-axis pointing mirror.</p>
      <p id="d2e1333">To increase the number of successful observations, TANSO-FTS-2 incorporates an “Intelligent Pointing” function that uses an onboard field-of-view camera to capture visible images of the area surrounding the planned observation points. When clouds are detected at the nominal footprint, the system automatically searches for nearby cloud-free locations within the camera's imaging area and adjusts the pointing direction toward these clear-sky targets. If a clear-sky target cannot be identified, the instrument observes the center of the scene.</p>
      <p id="d2e1336">Observations are conducted at 1246 discrete points along each orbit, with 4.024 s allocated for interferogram acquisition and approximately 0.65 s for the turnaround phase during which the pointing mirror is reoriented toward the next observation target.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS5">
  <label>2.1.5</label><title>Performance improvement</title>
      <p id="d2e1348">TANSO-FTS-2 performs routine on-orbit calibration operations, including solar irradiance, blackbody, nighttime, deep-space, instrument-function, lunar, and electrical calibration. Vicarious calibration using actual observation data is also applied <xref ref-type="bibr" rid="bib1.bibx18" id="paren.16"/>.</p>
      <p id="d2e1354">To fully utilize the available dynamic range and suppress quantization noise, TANSO-FTS-2 employs an adaptive gain-control system that adjusts detector gain according to signal intensity and observational conditions. This mechanism ensures appropriate sensitivity across diverse surface types, including bright desert regions and sun-glint areas. Detailed description of the gain-control architecture and its operational configurations are provided in <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx57" id="text.17"/>.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS6">
  <label>2.1.6</label><title>Data downlink and processing</title>
      <p id="d2e1368">Data acquired in orbit are downlinked to a ground station located in the Svalbard Islands. The downlinked data are then transmitted to the Japan Aerospace Exploration Agency (JAXA) Tsukuba Space Center, where Level 0 and Level 1 processing are performed. <list list-type="bullet"><list-item>
      <p id="d2e1373">Level 0 processing: involves unpacking the data packets received from the satellite and arranging them in sequence.</p></list-item><list-item>
      <p id="d2e1377">Level 1A: conversion of Level 0 data into interferograms.</p></list-item><list-item>
      <p id="d2e1381">Level 1B: inverse Fourier transformation to generate radiance spectra, followed by radiometric corrections and related adjustments.</p></list-item></list> The Level 1B product is then transmitted to the National Institute for Environmental Studies (NIES), where higher-level processing, including Level 2 and beyond, is performed.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS7">
  <label>2.1.7</label><title>Level 1B product release and updates</title>
      <p id="d2e1393">The Level 1B product was first made publicly available in 2019 and has since undergone multiple updates to its calibration and processing algorithms. For details on the instrument characteristics and operational aspects of GOSAT-2, see <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx57" id="text.18"/>.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>SWIR Column-averaged dry air mole fraction product</title>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>Input data and lookup tables</title>
      <p id="d2e1415">The XCH<sub>4</sub> retrieval in this study is based on the GOSAT-2 Level 1B radiance product, supplemented by auxiliary information required for the full-physics forward model. These inputs include instrument characterization data, the optical depth of the reference spectrum, solar irradiance, and lookup tables (LUTs) describing gas absorption and aerosol optical properties. Gas absorption cross-sections, aerosol parameters, and solar Fraunhofer lines follow the datasets described in the G2L2 Algorithm Theoretical Basis Document <xref ref-type="bibr" rid="bib1.bibx72" id="paren.19"><named-content content-type="pre">G2L2ATBD;</named-content></xref>, with aerosol information based on the Spectral Radiation-Transport Model for Aerosol Species <xref ref-type="bibr" rid="bib1.bibx58" id="paren.20"><named-content content-type="pre">SPRINTARS;</named-content></xref> and solar spectral data following <xref ref-type="bibr" rid="bib1.bibx63" id="text.21"/>.</p>
      <p id="d2e1440">Although the G2L2 retrieval algorithm is capable of accounting for cirrus cloud scattering, the V02.XX product applies a pre-screening procedure that retains only cloud-free observations. As a result, clouds are not treated explicitly in the radiative transfer calculations for the version used in this study.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>Preprocessing of radiance spectra</title>
      <p id="d2e1451">As part of the preprocessing, radiance correction, wavenumber-interval correction, and polarization synthesis are applied to the Level 1B spectra. Radiance correction accounts for sensitivity variations derived from on-orbit solar, lunar, and vicarious calibration data. The wavenumber axis is adjusted to correct for small variations in the spectral sampling interval contained in the Level 1B product. Polarization synthesis is used to derive the total incident radiance on TANSO-FTS-2 from the two polarized components of the observed spectra.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>Retrieval approach: Full physics method</title>
      <p id="d2e1462">The GOSAT-2 TANSO-FTS-2 SWIR Level 2 column-averaged dry-air mole fraction product (hereinafter referred to as G2L2 product) is retrieved using a full-physics approach in which multiple spectral bands are fitted simultaneously while accounting for scattering by aerosols and surface reflection. Observations are first screened prior to the retrieval to remove soundings with instrumental quality issues or indications of cloud and aerosol contamination. After the retrieval, an additional quality screening based on convergence diagnostics and retrieval quality criteria is applied, and only successful retrievals are included in the final product.</p>
      <p id="d2e1465">The retrieval is formulated as a maximum a posteriori (MAP) optimization <xref ref-type="bibr" rid="bib1.bibx41" id="paren.22"/>, in which the state vector includes concentrations of CO<sub>2</sub>, CH<sub>4</sub>, H<sub>2</sub>O, and CO in 15 vertical layers, aerosol profile parameters, surface pressure, temperature-profile adjustment, surface albedo, and chlorophyll fluorescence. Instrument-related parameters include radiometric offsets and instrument line-shape scaling factors.</p>
      <p id="d2e1498">The forward model combines a radiative-transfer module and an instrument-response module. The radiative-transfer module computes monochromatic radiances using a fast non-polarized radiative-transfer scheme; although the algorithm is capable of treating polarization, polarization is not considered in the operational retrieval. The instrument-response module applies the TANSO-FTS-2 spectral response to generate simulated spectra and Jacobians consistent with the Level 1B product.</p>
      <p id="d2e1501">Further methodological and numerical details of the LUT construction, preprocessing steps, and the full-physics retrieval formulation are documented comprehensively in the G2L2ATBD.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS4">
  <label>2.2.4</label><title>G2L2 product release and updates</title>
      <p id="d2e1512">The G2L2 product was first released as a preliminary version (V01.01) for research announcement users in November 2019, followed by a general release (V01.04) in November 2020. A major update, including improvements to both the retrieval algorithm and input data, was implemented in July 2022 (V02.00). Subsequently, a minor update (V02.10) addressing a bug in the a priori aerosol optical thickness setting and revising post-screening criteria was released in February 2025. This version uses Level 1B product V220.220 as input data. The update from V02.00 to V02.10 significantly improved spatial distribution, particularly over desert regions; therefore, this study employs V02.10 for global surface CH<sub>4</sub> flux estimation. Since then, the product has been updated to V02.21 due to changes in Level 1B inputs, but no further modifications to the processing algorithm have been made since V02.10.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Global surface CH<sub>4</sub> flux estimates</title>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Overview of GOSAT-2 Level 4 CH<sub>4</sub> flux estimation</title>
      <p id="d2e1560">The GOSAT project has provided global surface CO<sub>2</sub> and CH<sub>4</sub> flux estimates as Level 4 (G1L4) products since 2012. GOSAT Level 4 products were generated on a sub-continental scale using the NIES atmospheric tracer transport model (NIES-TM) together with a fixed-lag Kalman smoother <xref ref-type="bibr" rid="bib1.bibx23" id="paren.23"/>. While this framework improved flux accuracy, it relied heavily on in situ observations and could not fully isolate the contribution of satellite data. The GOSAT-2 Level 4 CH<sub>4</sub> flux product (G2L4) was developed to address these limitations. G2L4 differs from G1L4 in two fundamental aspects: (1) it uses the Non-hydrostatic Icosahedral Atmospheric Model (NICAM)-based inversion system described in <xref ref-type="bibr" rid="bib1.bibx33" id="text.24"/>, which provides higher spatial resolution and fully mass-conservative transport, and  (2) it assimilates only the G2L2 product, allowing a satellite-only assessment of global and regional CH<sub>4</sub> budgets. Except for these differences in observational constraints and prior specifications, the inversion framework used in this study follows <xref ref-type="bibr" rid="bib1.bibx33" id="text.25"/>. The key components of the inversion framework are summarized below, and further details are provided in the following subsections.</p>
      <p id="d2e1609">In this study, global surface CH<sub>4</sub> fluxes are estimated using an atmospheric inversion framework based on a Bayesian approach, in which prior information on surface fluxes is optimized by assimilating atmospheric CH<sub>4</sub> observations. The inversion is formulated within a four-dimensional variational (4D-Var) framework, in which the optimal flux vector is obtained by minimizing a cost function that accounts for both prior flux constraints and observation-model mismatch. The cost function <inline-formula><mml:math id="M98" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> is defined as:

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M99" display="block"><mml:mrow><mml:mi>J</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">T</mml:mi></mml:msup><mml:msup><mml:mi mathvariant="bold">B</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mo>(</mml:mo><mml:mi mathvariant="bold">M</mml:mi><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">d</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">T</mml:mi></mml:msup><mml:msup><mml:mi mathvariant="bold">R</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>(</mml:mo><mml:mi mathvariant="bold">M</mml:mi><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">d</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">pri</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, with <inline-formula><mml:math id="M101" display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">pri</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denoting vectors of modeled and a priori source/sink strengths, respectively. <inline-formula><mml:math id="M103" display="inline"><mml:mi mathvariant="bold">M</mml:mi></mml:math></inline-formula> is the linear forward transport operator that maps flux perturbations to concentration changes at observation locations. <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi mathvariant="bold">d</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">M</mml:mi><mml:msub><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mi mathvariant="normal">pri</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> where with <inline-formula><mml:math id="M105" display="inline"><mml:mi mathvariant="bold-italic">y</mml:mi></mml:math></inline-formula> is the vector of observed concentrations. <inline-formula><mml:math id="M106" display="inline"><mml:mi mathvariant="bold">B</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M107" display="inline"><mml:mi mathvariant="bold">R</mml:mi></mml:math></inline-formula> are the error covariance matrices for the a priori flux estimates and the observation-model misfit, respectively. The superscript T denotes the transpose.</p>
      <p id="d2e1813">The control variables consist of adjustments to prior CH<sub>4</sub> fluxes, including anthropogenic emissions, biomass burning, terrestrial biosphere fluxes, and other natural sources. The global surface CH<sub>4</sub> fluxes are estimated on a 1° grid with monthly temporal resolution.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Model system: NISMON-CH<sub>4</sub></title>
      <p id="d2e1851">The inversion system used to generate the G2L4 product is based on the NICAM-based Inverse Simulation for Monitoring CH<sub>4</sub> <xref ref-type="bibr" rid="bib1.bibx33" id="paren.26"><named-content content-type="pre">NISMON-CH<sub>4</sub>;</named-content></xref>. NISMON-CH<sub>4</sub> integrates the NICAM-TM transport model with a 4D-Var inversion system, providing mass-conservative global transport and high-resolution flux estimates on a 1° grid.</p>
      <p id="d2e1886">Because the present study focuses on evaluating the impact of GOSAT-2 observations, only the modifications specific to G2L4 – such as the use of G2L2 as the sole observational constraint and updates to prior fluxes – are summarized in the following sections.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Prior fluxes</title>
      <p id="d2e1897">The prior CH<sub>4</sub> fluxes used in the G2L4 inversion largely follow the framework of <xref ref-type="bibr" rid="bib1.bibx33" id="text.27"/>, with updates specific to this study. Anthropogenic emissions are taken from the Emissions Database for Global Atmospheric Research <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx11" id="paren.28"><named-content content-type="pre">EDGAR version 6.0;</named-content></xref> and prescribed as annual totals for five source sectors: coal mining, oil and gas, landfill and waste, biofuel use, and enteric fermentation and manure management.</p>
      <p id="d2e1917">Monthly biogenic flux components-rice paddies, wetlands, and soil oxidation-are derived from a prognostic biosphere model, the Vegetation Integrative Simulator for Trace gases <xref ref-type="bibr" rid="bib1.bibx16" id="paren.29"><named-content content-type="pre">VISIT;</named-content></xref>, using the <xref ref-type="bibr" rid="bib1.bibx2" id="text.30"/> scheme for wetland and rice-paddy CH<sub>4</sub> production. Biomass-burning emissions are taken from the Global Biomass Burning Emissions Inventory <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx44" id="paren.31"><named-content content-type="pre">GBEI version “2022a”;</named-content></xref> and aggregated to a 1° grid.</p>
      <p id="d2e1943">Natural fluxes include oceanic, termite, and geological emissions, following <xref ref-type="bibr" rid="bib1.bibx68" id="text.32"/>, <xref ref-type="bibr" rid="bib1.bibx15" id="text.33"/>, and <xref ref-type="bibr" rid="bib1.bibx10" id="text.34"/>. Geological emissions are scaled to a global total of 23 Tg CH<sub>4</sub> yr<sup>−1</sup> after <xref ref-type="bibr" rid="bib1.bibx1" id="text.35"/>, as in <xref ref-type="bibr" rid="bib1.bibx33" id="text.36"/>. The global surface CH<sub>4</sub> fluxes are estimated at a spatial resolution of 1.0° and a monthly time step.</p>
      <p id="d2e1992">As in <xref ref-type="bibr" rid="bib1.bibx33" id="text.37"/>, EDGAR v6.0 anthropogenic emissions and VISIT-derived biospheric fluxes were available only through their final release years. For subsequent years, the fluxes from the final available year were used. Consequently, prior fluxes other than biomass-burning emissions do not contain interannual variability during the study period, and interannual variations in posterior flux estimates are primarily driven by observational constraints.</p>
      <p id="d2e1999">The control vector consists of scaling factors and flux adjustments applied to the prior CH<sub>4</sub> flux components. Different optimization approaches are applied depending on the source category. Anthropogenic emissions, biomass-burning emissions, and other natural emissions are optimized using multiplicative scaling factors that preserve their prescribed spatial patterns. In contrast, rice-paddy, wetland, and soil-oxidation fluxes are optimized using additive flux adjustments, allowing both the magnitude and spatial distribution of these biosphere-related fluxes to vary. This treatment reflects the larger uncertainty in the spatial distribution of biospheric CH<sub>4</sub> fluxes and provides greater flexibility for the inversion to adjust these sources in response to atmospheric observations.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS4">
  <label>2.3.4</label><title>Observational and error settings</title>
      <p id="d2e2029">In the G2L4 inversion, the observation-model mismatch error for each GOSAT-2 XCH<sub>4</sub> retrieval is set to 20 ppb, corresponding to the square root of the diagonal elements of the observation-error covariance matrix, following the configuration used in <xref ref-type="bibr" rid="bib1.bibx33" id="text.38"/>. This value is comparable to the uncertainty estimated from validation against TCCON observations. For G2L2, comparisons with TCCON typically show standard deviations of approximately 10–20 ppb depending on site, surface type, and collocation criteria <xref ref-type="bibr" rid="bib1.bibx75 bib1.bibx28" id="paren.39"/>. The use of a uniform value provides a consistent weighting of observations across regions and facilitates direct assessment of the influence of satellite observations on the inversion results. Only G2L2 retrievals that pass all internal pre- and post-screening criteria are assimilated, and an additional selection is applied based on the quality criteria provided in the G2L2 product. Thus, all analyses use XCH<sub>4</sub> data that satisfy both the retrieval-level filters and the product-level quality flags.</p>
      <p id="d2e2056">Prior flux uncertainties follow the sector-dependent settings of <xref ref-type="bibr" rid="bib1.bibx33" id="text.40"/>: anthropogenic emissions are assigned 50 % uncertainty, and biomass burning and natural emissions 100 %. For rice paddies, wetlands, and soil oxidation, prior covariances are derived from a 120-year ensemble using the VISIT terrestrial biosphere model, with spatial localization applied to suppress unrealistic long-range correlations.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS5">
  <label>2.3.5</label><title>Optimization framework</title>
      <p id="d2e2070">The optimization of surface CH<sub>4</sub> fluxes follows the 4D-Var scheme implemented in NISMON-CH<sub>4</sub> <xref ref-type="bibr" rid="bib1.bibx33" id="paren.41"/>. The inversion is solved using the Preconditioned Optimizing Utility for Large-dimensional analyses (POpULar) quasi-Newton method <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx31" id="paren.42"/>, which iteratively updates flux adjustments through forward and adjoint model integrations.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS6">
  <label>2.3.6</label><title>Model implementation details</title>
      <p id="d2e2105">The G2L4 system adopts the standard implementation of NISMON-CH<sub>4</sub> described by <xref ref-type="bibr" rid="bib1.bibx33" id="text.43"/>. The inversion is conducted on the native NICAM icosahedral grid, while posterior fluxes are provided on a regular 1° latitude-longitude grid using the grid-conversion scheme described by <xref ref-type="bibr" rid="bib1.bibx32" id="text.44"/>.</p>
      <p id="d2e2123">To ensure consistency between simulated and retrieved atmospheric CH<sub>4</sub> concentrations, the averaging kernels and a priori profiles distributed with the G2L2 product are applied in the observation operator. In addition, the penalty formulation following <xref ref-type="bibr" rid="bib1.bibx32" id="text.45"/> is incorporated to suppress physically unrealistic negative flux estimates during the optimization.</p>
      <p id="d2e2138">Further methodological and numerical details, including covariance construction, adjoint implementation, grid conversion procedures, and penalty function settings, are documented in <xref ref-type="bibr" rid="bib1.bibx33" id="text.46"/> and the G2L4 Algorithm Theoretical Basis Document <xref ref-type="bibr" rid="bib1.bibx43" id="paren.47"><named-content content-type="pre">G2L4ATBD;</named-content></xref>.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Additional data</title>
      <p id="d2e2158">For comparison with the G2L2 product, we used the GOSAT TANSO-FTS SWIR Level 2 CH<sub>4</sub> column-amount product (version V03.05; hereinafter G1L2). The V03 series provides XCO<sub>2</sub> and XCH<sub>4</sub> retrieved from GOSAT Level 1B spectra using the full-physics method <xref ref-type="bibr" rid="bib1.bibx54" id="paren.48"/>. Version V03.05 corresponds to the bias-corrected product validated against TCCON measurements, and only data meeting the product quality criteria were used in this study.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d2e2200">This section presents the results of the G2L4 CH<sub>4</sub> flux estimates, which constitute the primary objective of this study. To provide the necessary context for interpreting the inversion results, we first summarize key characteristics of the G2L2 XCH<sub>4</sub> product and briefly compare it with the G1L2 product. The flux estimates are evaluated for the period from May 2019 to October 2022, using G2L2 version V02.10 covering March 2019 to December 2022.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Observation coverage and spatial distribution of G2L2 product</title>
      <p id="d2e2228">Following the launch of GOSAT-2 in October 2018 and completion of its initial calibration phase, the G2L2 product has been available since March 2019. Several short interruptions in TANSO-FTS-2 operations occurred during the period, with the full list provided by the EORC-JAXA archive.</p>
      <p id="d2e2231">Monthly variations in the number of quality-screened XCH<sub>4</sub> observations are shown in Fig. <xref ref-type="fig" rid="F1"/>. To ensure comparability between TANSO-FTS and TANSO-FTS-2, repeated soundings over the same location within short time intervals were counted only once per day. Such repeated soundings mainly arise from targeted observation operations, in which the same location may be observed multiple times to increase the likelihood of obtaining cloud-free retrievals. After this adjustment, TANSO-FTS-2 still yielded roughly 2–3 times more valid observations than TANSO-FTS over both land and ocean, reflecting improvements in sensor performance, pointing strategy, and observational coverage.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e2247">Monthly count of XCH<sub>4</sub> observations meeting the quality criteria for <bold>(a)</bold> TANSO-FTS and <bold>(b)</bold> TANSO-FTS-2 in March 2019 and December 2022. Blue and green bars represent observations over ocean and land, respectively.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026-f01.png"/>

        </fig>

      <p id="d2e2272">Figure <xref ref-type="fig" rid="F2"/> shows the spatial distribution of G2L2 observations. TANSO-FTS-2 achieved substantially enhanced global coverage, particularly over the oceans, where nearly all 2.5° grid cells contain valid retrievals. Over land, the Intelligent Pointing system increased the sampling of cloud-free scenes relative to TANSO-FTS, although persistent cloudiness in the deep tropics remains a limiting factor. These improvements reduce spatial sampling gaps and provide a more uniform global dataset, forming a stronger observational basis for the CH<sub>4</sub> flux estimation presented in later sections.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e2288">Spatial distribution of XCH<sub>4</sub> observations meeting the quality criteria, aggregated on a 2.5° grid, and their latitudinal totals for <bold>(a, b)</bold> TANSO-FTS and <bold>(c, d)</bold> TANSO-FTS-2 in March 2019 and December 2022. Blue and green lines in panels <bold>(b)</bold> and <bold>(d)</bold> indicate observations over ocean and land, respectively.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026-f02.png"/>

        </fig>

      <p id="d2e2318">The retrieval counts shown here represent only successful observations included in the GOSAT and GOSAT-2 Level 2 products and therefore reflect the combined effects of orbital sampling, observing strategy, cloud screening, and retrieval performance.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Validation of G2L2 product</title>
      <p id="d2e2329">Uncertainties in GOSAT-2 XCH<sub>4</sub> retrievals arise from surface reflectance, aerosol and cirrus properties, instrument characteristics, and limitations in the forward-model representation. Validation of the G2L2 retrievals has been reported previously. <xref ref-type="bibr" rid="bib1.bibx75" id="text.49"/> evaluated version V02.00 through comparisons with TCCON and the G1L2 product, while the <xref ref-type="bibr" rid="bib1.bibx28" id="text.50"/> provides validation results for the version used in this study, V02.10.</p>
      <p id="d2e2347">According to the <xref ref-type="bibr" rid="bib1.bibx28" id="text.51"/>, validation of the G2L2 V02.10 product against TCCON shows small negative biases over both land and ocean, with larger biases over ocean sites. Typical mean differences fall within a few ppb for land and around <inline-formula><mml:math id="M137" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 to <inline-formula><mml:math id="M138" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8 ppb for ocean, with standard deviations of approximately 10–15 ppb depending on the site and collocation criteria. These results indicate that G2L2 V02.10 generally underestimates XCH<sub>4</sub> relative to TCCON, particularly over ocean scenes. No bias correction is applied in this study; therefore, the flux estimates presented below reflect the original characteristics and remaining retrieval biases of the G2L2 V02.10 product.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Comparison between G1L2 and G2L2 products</title>
      <p id="d2e2384">The comparison of G1L2 and G2L2 products is subject to inherent limitations. First, the observation locations of TANSO-FTS and TANSO-FTS-2 do not perfectly coincide, making a direct one-to-one comparisons challenging. Second, differences in their retrieval algorithms can produce systematic variations in retrieved XCH<sub>4</sub> even when the measurements are taken at nearly the same time and location.</p>
      <p id="d2e2396">Figure <xref ref-type="fig" rid="F3"/> presents two-dimensional histograms comparing XCH<sub>4</sub> retrieved from TANSO-FTS (<inline-formula><mml:math id="M142" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula>-axis) and TANSO-FTS-2 (<inline-formula><mml:math id="M143" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula>-axis). Matchups were selected when the fields of view were within 20 km and the observation times were within 30 min. Repeated soundings at the same location within consecutive time intervals were averaged, and only the closest matchup pair was retained.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2426">Two-dimensional histograms of XCH<sub>4</sub> concentrations (ppb) retrieved from TANSO-FTS and TANSO-FTS-2 for <bold>(a)</bold> land and <bold>(b)</bold> ocean, based on matchup data only.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026-f03.png"/>

        </fig>

      <p id="d2e2451">Over land, the mean difference (G2L2–G1L2) is <inline-formula><mml:math id="M145" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.66 ppb with a standard deviation of 11.53 ppb (<inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">799</mml:mn></mml:mrow></mml:math></inline-formula>), whereas over ocean the mean difference is <inline-formula><mml:math id="M147" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.84 ppb with a standard deviation of 10.74 ppb (<inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3614</mml:mn></mml:mrow></mml:math></inline-formula>). Correlation coefficients exceed 0.93 for both surface types, indicating that the two products show high consistency in XCH<sub>4</sub> variability. Combined with the TCCON validation results in Sect. 3.2, these comparisons confirm that G2L2 XCH<sub>4</sub> is generally slightly lower than G1L2 and TCCON, with the negative bias being more pronounced over the ocean.</p>
      <p id="d2e2514">Figure <xref ref-type="fig" rid="F4"/> shows the spatial distributions of G1L2 and G2L2 XCH<sub>4</sub> on a 2.5° grid, averaged over four consecutive three-month periods from December 2021 to November 2022. G2L2 provides significantly improved coverage, particularly over oceans, high latitudes, and tropical regions where cloud contamination often limits the number of valid GOSAT retrievals. A notable exception is the central-eastern region of South America, where the spatial coverage of G2L2 is degraded. Although the cause has not yet been fully identified, reduced radiance levels in Band 1 have been observed in this region, and a possible influence of the South Atlantic Anomaly has been suggested.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2530">Three-month averaged XCH<sub>4</sub> distributions for G1L2 (left) and G2L2 (center) from December 2021 to November 2022, and their differences (G2L2–G1L2) (right). Color scales represent XCH<sub>4</sub> concentrations (ppb) for G1L2 and G2L2, and differences in ppb for the bottom panels. The rightmost panels additionally show latitudinal mean differences (ppb), with blue and green lines indicating ocean and land regions, respectively.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026-f04.png"/>

        </fig>

      <p id="d2e2557">The seasonal distributions are broadly consistent between G1L2 and G2L2, showing higher XCH<sub>4</sub> values during boreal fall and lower values from spring to early summer, which is likely influenced by the seasonality of Northern Hemisphere wetland emissions <xref ref-type="bibr" rid="bib1.bibx7" id="paren.52"/>. Regions of enhanced XCH<sub>4</sub> include South and East Asia, the Arabian Peninsula, central Africa, and parts of the Americas, and these patterns are largely reproduced across both products.</p>
      <p id="d2e2581">Mean spatial differences (G2L2–G1L2) averaged over three-month periods range from <inline-formula><mml:math id="M156" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.6 to <inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.4 ppb over land and from <inline-formula><mml:math id="M158" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.2 to <inline-formula><mml:math id="M159" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.8 ppb over ocean, with standard deviations of 12–14 ppb across both surface types. A systematic latitudinal pattern is also evident: negative differences are larger in low-latitude regions and diminish toward higher latitudes, implying a reduced north-south contrast within each hemisphere in G2L2 relative to G1L2. To investigate the influence of bias correction, the same analysis was repeated using G1L2 without bias correction (V03.00). In this case, the latitudinal trend largely disappears, suggesting that the G1L2 bias-correction scheme is a major contributor. Therefore, part of the spatial differences between G1L2 and G2L2 may reflect differences in the bias-correction strategy rather than differences in the underlying satellite observations themselves. Accordingly, caution is required when interpreting the spatial differences between the two products. Because assessing this correction is beyond the scope of this  study, no further analysis is conducted, but users should be aware that the presence or absence of bias correction can introduce substantial spatial differences in XCH<sub>4</sub>.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Regional and global CH<sub>4</sub> flux estimates by G2L4 product</title>
      <p id="d2e2640">The global CH<sub>4</sub> budget synthesized by the Global Carbon Project <xref ref-type="bibr" rid="bib1.bibx48" id="paren.53"><named-content content-type="pre">GCP;</named-content></xref> provides the most authoritative benchmark for evaluating top-down CH<sub>4</sub> flux estimates. Against this benchmark, our satellite-only inversion using G2L2 retrievals reproduces the global budget with remarkable accuracy. The posterior global totals are 582.9 and 589.5 Tg CH<sub>4</sub> yr<sup>−1</sup> for 2020 and 2021, respectively. The 2020 estimate lies within the range reported by the Global Methane Budget top-down assessment <xref ref-type="bibr" rid="bib1.bibx48" id="paren.54"><named-content content-type="pre">608 Tg CH<sub>4</sub> yr<sup>−1</sup>, range 581–627 Tg CH<sub>4</sub> yr<sup>−1</sup>;</named-content></xref>. This high level of agreement suggests that GOSAT-2 SWIR observations are capable of reproducing the global-scale CH<sub>4</sub> budget, despite inherent retrieval uncertainties in satellite-based measurements <xref ref-type="bibr" rid="bib1.bibx36" id="paren.55"><named-content content-type="pre">e.g.,</named-content></xref>. However, agreement at the global scale does not necessarily imply uniformly strong observational constraints at regional scales, where the influence of prior assumptions and observational coverage may vary substantially.</p>
      <p id="d2e2749">Figure <xref ref-type="fig" rid="F5"/>a shows the spatial distribution of posterior CH<sub>4</sub> fluxes for 2021. Large emissions appear across regions where elevated XCH<sub>4</sub> was identified in Fig. <xref ref-type="fig" rid="F4"/>, including South and East Asia, the Arabian Peninsula, central Africa, and the Americas. These hotspots reflect contributions from both natural wetlands and anthropogenic activities such as fossil-fuel extraction and waste management. The G2L4 flux distributions broadly align with established global CH<sub>4</sub> source patterns.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2785">Spatial distribution of <bold>(a)</bold> annual posterior CH<sub>4</sub> fluxes for 2021 and <bold>(b)</bold> posterior-minus-prior differences (g CH<sub>4</sub> m<sup>−2</sup> yr<sup>−1</sup>).</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026-f05.png"/>

        </fig>

      <p id="d2e2844">Figure <xref ref-type="fig" rid="F5"/>b displays posterior-prior differences, highlighting regions where the G2L2 product induces substantial adjustments. Positive corrections occur mainly in tropical and subtropical regions – South Asia, central Africa, and northern to central South America – where prior estimates are typically uncertain and where ground-based observations are sparse. Negative adjustments, in contrast, appear over parts of China, the Persian Gulf region, Europe, and central North America. It is important to note that large posterior adjustments do not necessarily indicate strong observational constraints. Substantial corrections may arise either from (i) strong satellite constraints correcting prior biases, or (ii) weak observational constraints in regions with persistent cloud cover or limited viewing opportunities, where the inversion becomes more sensitive to residual retrieval biases or prior uncertainties. The degraded G2L2 coverage over central-eastern South America is one such example.</p>
      <p id="d2e2849">Overall, regions with large adjustments generally coincide with areas where prior uncertainties are large and observational coverage is limited, indicating where GOSAT-2 observations have the potential to provide valuable additional information beyond the prior estimates. These results emphasize both the value of G2L2 for improving flux estimates and the need for continued satellite observations to strengthen constraints in regions where current observational coverage remains limited.</p>
      <p id="d2e2852">Figure <xref ref-type="fig" rid="F6"/> presents monthly CH<sub>4</sub> flux variations for six latitude bands between 70° N and 50° S for the period May 2019–October 2022. Prior fluxes show only weak seasonal variability across all latitude bands, whereas posterior fluxes exhibit pronounced seasonal cycles, particularly north of 10° N. In the high northern latitudes (70°–50° N), posterior fluxes increase from around 2 Tg CH<sub>4</sub> month<sup>−1</sup> during winter to more than 10 Tg CH<sub>4</sub> month<sup>−1</sup> in July–August, reflecting well-known wetland-driven seasonality. Similar enhancements in seasonal amplitude are found in the 50°–30° N band and in the tropics (10° N–10° S), where prior fluxes show only limited variability.</p>

      <fig id="F6"><label>Figure 6</label><caption><p id="d2e2911">Monthly CH<sub>4</sub> flux variations (Tg CH<sub>4</sub> month<sup>−1</sup>) for six latitude bands between 70° N and 50° S, estimated from prior (broken line) and posterior (solid line) fluxes for May 2019–October 2022.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026-f06.png"/>

        </fig>

      <p id="d2e2950">A notable feature in Fig. <xref ref-type="fig" rid="F6"/> is the clear phase shift in the 30° N–10° N latitude band, where the posterior flux peak moves from May–June in the prior to July–August. This change is consistent with independent studies showing that CH<sub>4</sub> emissions from wetlands and rice paddies in South and East Asia tend to peak during the boreal summer monsoon <xref ref-type="bibr" rid="bib1.bibx76 bib1.bibx7" id="paren.56"><named-content content-type="pre">e.g.,</named-content></xref>. Although satellite sampling in this region decreases during the monsoon season due to persistent cloud cover, the available G2L2 retrievals still exhibit enhanced XCH<sub>4</sub> in July–August, suggesting that the inversion adjusts the seasonal phase to align more closely with observational signals and to compensate for known biases in the prior. At the same time, the limited sampling also implies that part of the adjustment may reflect prior uncertainties rather than strong observational constraints. The posterior phase shift therefore likely results from a combination of satellite-derived information and structural uncertainties in the prior representation of wetland and rice-paddy emissions.</p>
      <p id="d2e2979">Overall, posterior fluxes peak in tropical and subtropical regions (30° N–10° S), whereas prior fluxes show maximum emissions in the mid-latitude to tropical Northern Hemisphere. Averaged over 2020 and 2021, posterior fluxes increase by roughly 20–40 Tg CH<sub>4</sub> yr<sup>−1</sup> in the tropics and subtropics relative to the prior, while high-latitude Northern Hemisphere fluxes remain broadly similar. The stronger seasonality and spatial redistribution evident in the posterior estimates suggest that GOSAT-2 observations contribute useful information for adjusting flux patterns in regions where prior constraints are relatively weak, particularly in tropical regions dominated by wetlands and agricultural activity.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Comparison with CH<sub>4</sub> flux estimates derived from other observations</title>
      <p id="d2e3029">To evaluate the impact of the G2L2 product, we compared CH<sub>4</sub> flux estimates derived from inversions using the same model system as G2L4 but based on different observational datasets. Two datasets were employed: (1) fluxes estimated using only the G1L2 V03.05 satellite product, as in the Results section, and (2) fluxes from <xref ref-type="bibr" rid="bib1.bibx33" id="text.57"/>, which were derived from ground-based and aircraft (SURF+AIR) observations. The ground-based data include ObsPack GLOBALVIEWplus version 6.0 <xref ref-type="bibr" rid="bib1.bibx50" id="paren.58"/> and measurements from NIES and collaborative networks <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx62 bib1.bibx45 bib1.bibx46 bib1.bibx59 bib1.bibx26 bib1.bibx34 bib1.bibx35 bib1.bibx39 bib1.bibx66" id="paren.59"/>. Aircraft data consist of flask samples collected through the CONTRAIL program <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx24 bib1.bibx49 bib1.bibx64" id="paren.60"/> and Tohoku University campaigns <xref ref-type="bibr" rid="bib1.bibx65" id="paren.61"/>. Although <xref ref-type="bibr" rid="bib1.bibx33" id="text.62"/> used the same inversion framework as this study, the prior biomass burning emissions differ between the two approaches. The <xref ref-type="bibr" rid="bib1.bibx33" id="text.63"/> dataset provides a benchmark based on dense in situ measurements, offering a complementary perspective to satellite-driven inversions and enabling assessment of consistency and potential biases in regional and seasonal CH<sub>4</sub> flux estimates.</p>
      <p id="d2e3072">We first compared the global annual CH<sub>4</sub> budgets among the three inversions. The G1L2-based inversion yielded 594.3 and 599.2 Tg CH<sub>4</sub> yr<sup>−1</sup>, and SURF+AIR-based inversion produced 593.2 and 595.4 Tg CH<sub>4</sub> yr<sup>−1</sup> for 2020 and 2021, respectively. Differences across datasets remain within <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> Tg CH<sub>4</sub> yr<sup>−1</sup>, indicating that the choice of observational constraint does not materially change the global CH<sub>4</sub> budget in this inversion framework. This cross-dataset convergence provides confidence that the regional analyses below primarily reflect the characteristics of the observational constraints rather than structural instabilities of the inversion system itself.</p>
      <p id="d2e3167">Seasonal patterns of CH<sub>4</sub> fluxes are broadly consistent across the three inversions (Fig. <xref ref-type="fig" rid="FA2"/>), as noted in previous studies <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx33" id="paren.64"><named-content content-type="pre">e.g.,</named-content></xref>. Comparisons between G2L4 and G1L2-based inversions show small mean differences across latitude bands (<inline-formula><mml:math id="M203" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.12 to 0.58 Tg CH<sub>4</sub> month<sup>−1</sup>) and high correlations (<inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.83–0.99), indicating  similar seasonal cycles. Variance ratios (posterior-to-reference standard deviations; values <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> indicate stronger seasonal amplitude) range from 1.05 to 1.99 – largest in 10° N–10° S – reflecting the combined influence of (i) differences in retrieval algorithms and product post-processing (including G1L2 bias-correction), (ii) differences in sampling and viewing geometry between missions (targeting strategies, off-nadir angles, cloud screening), and (iii) mission-dependent L1B radiance characteristics. In contrast, differences relative to the SURF+AIR-based inversion are more pronounced: the mean difference reaches <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.03</mml:mn></mml:mrow></mml:math></inline-formula> Tg CH<sub>4</sub> month<sup>−1</sup> in the tropics, root-mean-square difference exceeds 2.38 Tg CH<sub>4</sub> month<sup>−1</sup>, and variance ratios rise to 4.36, indicating changes in both amplitude and phase. Correlations drop south of 10° S (<inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.55–0.31), consistent with sparse in-situ coverage there.</p>
      <p id="d2e3299">Next, we extend our analysis to the regional scale using the 42 land regions defined in the GOSAT Level 4 product (Fig. <xref ref-type="fig" rid="FA3"/>). This framework enables a systematic comparison of CH<sub>4</sub> flux estimates derived from different observational datasets and helps identify where observational constraints most strongly affect inversion outcomes. At the regional scale (Fig. <xref ref-type="fig" rid="F7"/>), the three inversions show broadly consistent spatial patterns, with all methods identifying similar high-emission regions and capturing the major continental-scale features of the CH<sub>4</sub> budget. This overall agreement indicates that G2L4, G1L2-based, and SURF+AIR-based inversions share a common large-scale structure and that the differences among them reflect regional observational characteristics rather than fundamental inconsistencies. Within this general consistency, regional differences become apparent. For example, in Southern Central Asia (CAS, RGN 30), the annual mean flux from G2L4 (50.5 Tg CH<sub>4</sub> yr<sup>−1</sup>) is <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> % lower than the SURF+AIR-based estimate (60.2 Tg CH<sub>4</sub> yr<sup>−1</sup>). Similar gaps (4–11 Tg CH<sub>4</sub> yr<sup>−1</sup>) appear in Northeastern Siberia (SIB-NE, RGN 28) and the Arabian Peninsula-Western Middle East (WME, RGN 29). While these differences broadly correspond to sparse in-situ observational coverage, we cannot rule out contributions from region-dependent retrieval challenges-such as high aerosol loading, low surface albedo, or large solar zenith angles-that may influence satellite column retrievals. Thus, both observational distribution and potential retrieval systematics likely contribute to the regional spread.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e3400">Mean annual CH<sub>4</sub> fluxes (Tg CH<sub>4</sub> yr<sup>−1</sup>) for 2020 and 2021 across 42 land regions, estimated from prior (purple), G2L4 (orange), G1L2-based inversions (green), and ground-based inversions (blue). The geographical definitions and abbreviations of the regions are provided in Fig. <xref ref-type="fig" rid="FA3"/>.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026-f07.png"/>

        </fig>

      <p id="d2e3441">Beyond differences in regional observational coverage, mission-specific observation strategies and retrieval characteristics also contribute to divergences among inversions. Both the GOSAT and GOSAT-2 missions allocate a considerable fraction of their observations to developed regions in order to target large emission sources such as megacities and power plants <xref ref-type="bibr" rid="bib1.bibx19" id="paren.65"/>. While this targeting strategy enhances the ability to capture urban greenhouse-gas enhancements <xref ref-type="bibr" rid="bib1.bibx38" id="paren.66"/>, it can introduce a sampling bias toward high-concentration areas and may reduce the representativeness of regional fluxes. In addition, the two missions do not necessarily observe identical footprints, leading to differences in spatial sampling even within the same region. The case of Eastern Asia (RGN 32) illustrates this complexity. Although multiple TCCON sites are available in the region <xref ref-type="bibr" rid="bib1.bibx37" id="paren.67"/> and are used in the bias correction of G1L2, its flux estimates still differ substantially from those derived from the SURF+AIR-based inversion. This divergence arises despite both inversions being strongly constrained by extensive observational data. The differences likely reflect the fundamentally distinct nature of the observational datasets-satellite column retrievals versus in-situ and aircraft measurements-as well as differences in coverage, bias-correction approaches, data-selection criteria, and the spatial representativeness of observation sites. These factors can lead to meaningful discrepancies in regional flux estimates even when the overall inversion frameworks are robust. Rather than indicating inconsistencies among the inversions, these results underscore the importance of considering observation-system characteristics when interpreting regional CH<sub>4</sub> budgets. They also highlight the need for a balanced combination of satellite, ground, and aircraft observations to improve representativeness and reduce structural uncertainties in future CH<sub>4</sub> monitoring systems.</p>
      <p id="d2e3471">Figure <xref ref-type="fig" rid="F8"/> also highlights where the three inversion systems show noticeable differences in their regional estimates. While G1L2-based inversions generally show amplitudes and correlations closer to those of G2L4, the SURF+AIR-based inversions display larger differences in regions where observational coverage is limited or where surface networks do not sufficiently capture the dominant emission regimes. This pattern is consistent with previous studies reporting that the performance of ground-based-driven inversions is strongly dependent on the spatial density and placement of in-situ sites <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx6" id="paren.68"><named-content content-type="pre">e.g.,</named-content></xref>. Our results reflect this behavior across several regions, including Pampas (PAM, RGN 14), Central South America (SAM-, RGN 15), Northwestern Northern Africa (AFR-NNW, RGN 19), Maritime Southeast Asia (SEA-MAR, RGN 33), and Southeastern Australia (AUS-SE, RGN 36), where correlations with G2L4 are comparatively low. Amplitude differences also emerge in high-latitude regions such as Southwestern Siberia (SIB-SW, RGN 25) and Northeastern Siberia (SIB-NE, RGN 28), as well as in well-monitored areas like the Nordic Region (NOR, RGN 41) and mid-latitude North America (NAM-SW and NAM-NE; RGNs 5 and 8). These discrepancies do not undermine the overall consistency among the inversions; rather, they show how regional flux estimates respond differently to the distinct observational constraints available in each system. These regions illustrate where satellite observations offer broader spatial sampling that complements limited in-situ coverage. Looking ahead, integrating GOSAT-2 with complementary satellite missions-together with targeted in-situ deployments where feasible-will help reduce regional uncertainty and support the development of a more balanced, globally consistent CH<sub>4</sub>-monitoring framework.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e3492">Correlation coefficients versus ratio of standard deviations for seasonal CH<sub>4</sub> flux variations across 42 land regions. Ratios are computed as the standard deviation of G1L2-based or ground-based (SURF+AIR) inversion divided by that of G2L4, and correlations are calculated between G2L4 and each of other two inversions.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026-f08.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Insights into anthropogenic-dominated regions from satellite observations</title>
      <p id="d2e3518">Recent studies have demonstrated the capability of satellite observations to quantify national-scale CH<sub>4</sub> emissions using atmospheric inversion frameworks and to compare these estimates with national inventories <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx17 bib1.bibx6" id="paren.69"><named-content content-type="pre">e.g.,</named-content></xref>. Inversion-based estimates, however, are generally sensitive to the total atmospheric CH<sub>4</sub> field, which integrates contributions from multiple source sectors, CH<sub>4</sub> sinks, and atmospheric transport processes. This property is not unique to satellite measurements; it is inherent to all top-down inversion systems. As a result, satellite-based inversions primarily optimize the net surface flux and cannot directly isolate sector-specific emissions. To gain insight into sectoral contributions despite this limitation, previous studies have adopted an indirect approach: in regions where the net prior flux is strongly dominated by a limited number of anthropogenic sectors, the direction and magnitude of posterior adjustments can help infer whether emissions from those dominant sectors are likely over- or underestimated. While this approach does not fully resolve sector-specific budgets, it can provide useful qualitative information on sectoral patterns. Building on this concept, we assess whether the G2L4 product offers meaningful constraints on sector-dominated regions. We focus on regions where aggregated anthropogenic emissions account for more than 80 % of prior total net surface flux, allowing us to examine whether posterior adjustments inferred from satellite observations align with expected sectoral contributions. Here, anthropogenic emissions refer to the sum of coal mining, oil and gas, landfill and waste, biofuel, enteric fermentation, manure management, and rice paddy fluxes.</p>
      <p id="d2e3553">Figure <xref ref-type="fig" rid="F9"/> illustrates that the G2L4 product provides useful observational information for anthropogenic-dominated regions, offering new insight into regional CH<sub>4</sub> flux patterns. In East Asia (EAS), where anthropogenic emissions constitute the majority of the prior total flux, the G2L4 posterior suggests a reduction of 12.3 Tg CH<sub>4</sub> yr<sup>−1</sup> relative to the prior. Although this posterior estimate (34.4 Tg CH<sub>4</sub> yr<sup>−1</sup>) is lower than values reported in previous satellite-based studies such as <xref ref-type="bibr" rid="bib1.bibx4" id="text.70"/> and <xref ref-type="bibr" rid="bib1.bibx6" id="text.71"/>, those studies also emphasize that East Asia exhibits large variability across inversion systems due to differences in observational datasets, retrieval configurations, and bias correction methods. The spread among inversion estimates therefore likely reflects this region's well-known sensitivity to differences in observational data sources, rather than any inconsistency among the inversion systems themselves. In this context, the G2L4 result contributes an independent satellite-based constraint that is useful for assessing the plausible range of anthropogenic emissions in East Asia.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e3618">Anthropogenic CH<sub>4</sub> emissions (Tg CH<sub>4</sub> yr<sup>−1</sup>) for nine regions – NAM-SW, AFR-NNW, AFR-NNE, WME, CAS, CAN, EAS, SEA-MAIN, and EUR-C – where anthropogenic sources in the a priori estimates account for more than 80 % of prior fluxes. Bars show prior (blue) and posterior (orange) estimates derived from GOSAT-2 Level 4 product for 2020–2021.</p></caption>
          <graphic xlink:href="https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026-f09.png"/>

        </fig>

      <p id="d2e3658">In the Western Middle East (WME), where emissions are dominated by oil and gas production, the G2L4 posterior (18.2 Tg CH<sub>4</sub> yr<sup>−1</sup>) falls within the range of previous estimates, including the Persian Gulf fossil emissions inferred by <xref ref-type="bibr" rid="bib1.bibx6" id="text.72"/>. This consistency-combined with the region's frequent clear-sky conditions, which enable dense satellite sampling-demonstrates that GOSAT-2 observations provide useful observational information for fossil-fuel-dominated regions. At the same time, the strong influence of dust aerosols on SWIR retrievals <xref ref-type="bibr" rid="bib1.bibx73" id="paren.73"><named-content content-type="pre">e.g.,</named-content></xref> highlights the importance of continued refinement of aerosol correction methods to fully leverage the strengths of satellite data. Overall, the G2L4 results in EAS and WME illustrate how satellite-based inversions can provide valuable and region-specific insight into sectoral emissions, while also identifying observational and algorithmic factors that should be prioritized to further enhance the robustness of future CH<sub>4</sub> flux assessments.</p>
      <p id="d2e3699">Beyond East Asia and the Western Middle East, several other regions-such as Northern Africa and Central Asia-show only modest differences between prior and posterior estimates. Importantly, small posterior adjustments in these regions should not be interpreted as evidence that prior inventories are highly accurate. Rather, these areas are characterized by sparse ground-based observations and limited socioeconomic activity data, making the underlying inventories inherently uncertain <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx60" id="paren.74"><named-content content-type="pre">e.g.,</named-content></xref>. In such contexts, even small satellite-driven adjustments provide independent and valuable constraints that would otherwise be difficult to obtain. These regions also underscore a broader challenge: observational gaps persist in many parts of the world where establishing and maintaining surface networks is logistically difficult and financially costly <xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx25" id="paren.75"><named-content content-type="pre">e.g.,</named-content></xref>. Satellite observations offer spatial coverage that complements limited in-situ measurements and helps identify where additional observations would most improve regional constraints. Looking ahead, expanding the use of multi-satellite datasets-along with targeted deployments of ground-based sensors where feasible-offers a promising pathway for improving the sectoral attribution of CH<sub>4</sub> emissions in regions that have historically been under-constrained.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Limitations and interpretation of the G2L4 product</title>
      <p id="d2e3729">The G2L4 product provides monthly global CH<sub>4</sub> flux estimates derived from a satellite-only atmospheric inversion system. While the results presented in this study suggests that GOSAT-2 observations can improve the spatial and temporal distribution of CH<sub>4</sub> flux estimates, several limitations should be considered when interpreting the data product.</p>
      <p id="d2e3750">First, the current G2L4 release does not include formal posterior uncertainty estimates, posterior covariance matrices, inversion averaging kernels, or degrees-of-freedom-for-signal (DFS) diagnostics <xref ref-type="bibr" rid="bib1.bibx41" id="paren.76"/>. The inversion is performed using a global high-dimensional 4D-Var framework based on NISMON-CH<sub>4</sub> <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx33" id="paren.77"/>, and explicit estimation of posterior covariance matrices would require additional covariance calculations or large ensemble-based experiments that are not included in the operational G2L4 processing system. Consequently, quantitative estimates of uncertainty reduction and observation impact are not presently provided as part of the G2L4 product.</p>
      <p id="d2e3769">Second, it is important to distinguish between retrieval-level and inversion-level diagnostics. Averaging kernels and a priori profiles distributed with the G2L2 product are incorporated into the observation operator in order to account for retrieval smoothing effects and to ensure consistency between modeled and retrieved XCH<sub>4</sub> <xref ref-type="bibr" rid="bib1.bibx41" id="paren.78"/>. However, these retrieval averaging kernels should not be interpreted as inversion averaging kernels, nor do they provide information on posterior uncertainty reduction within the flux inversion framework.</p>
      <p id="d2e3784">Therefore, posterior-minus-prior flux differences presented in this study should primarily be interpreted as inversion adjustments rather than direct quantitative measures of observational constraint or uncertainty reduction. Interpretation of regional flux estimates should also take into account variations in observational coverage, prior uncertainty, retrieval characteristics, and the prescribed inversion error statistics.</p>
      <p id="d2e3788">Despite these limitations, comparisons with independent inversion systems indicate that the G2L4 product reproduces the large-scale characteristics of the global CH<sub>4</sub> budget and provides useful observational information in many regions where conventional surface observations remain sparse. Future developments of the G2L4 framework will investigate practical approaches for characterizing posterior uncertainty and information content while maintaining computational feasibility for global high-resolution inversions.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Data availability</title>
      <p id="d2e3810">The NIES GOSAT-2 products, including the FTS-2 SWIR Level 2 Column-averaged Dry-air Mole Fraction Product and the Level 4A Global CH<sub>4</sub> Flux Product, are available from the NIES GOSAT-2 Product Archive (<uri>https://prdct.gosat-2.nies.go.jp/index.html.en</uri>, <xref ref-type="bibr" rid="bib1.bibx29" id="altparen.79"/>).</p>
      <p id="d2e3828">A detailed description of the variables, units, dimensions, missing-value conventions, and products included in the G2L4 dataset is provided in Appendix (Tables <xref ref-type="table" rid="TA1"/>–<xref ref-type="table" rid="TA3"/>).</p>
      <p id="d2e3835">The NIES FTS SWIR Level 2 Column-averaged Dry-air Mole Fraction Product from GOSAT is available from the GOSAT Data Archive Service (<uri>https://data2.gosat.nies.go.jp/index_en.html</uri>, <xref ref-type="bibr" rid="bib1.bibx27" id="altparen.80"/>).</p>
      <p id="d2e3844">EORC-JAXA Current Status: GOSAT-2 Operation Status is available at <uri>https://www.eorc.jaxa.jp/GOSAT/GOSAT-2/gosat2_operationStatus.html</uri> <xref ref-type="bibr" rid="bib1.bibx9" id="paren.81"/>.</p>
      <p id="d2e3854">As the official GOSAT and GOSAT-2 archives do not assign persistent digital object identifiers (DOIs), the analysis-ready subsets of the data used in this study have been independently archived in a public research data repository. These subsets are openly available through Zenodo at <ext-link xlink:href="https://doi.org/10.5281/zenodo.18883060" ext-link-type="DOI">10.5281/zenodo.18883060</ext-link> <xref ref-type="bibr" rid="bib1.bibx42" id="paren.82"/>.</p>
      <p id="d2e3863">This secondary archiving ensures long-term accessibility, reproducibility, and citability of the exact datasets used to generate the results presented in this study.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e3875">This study provides an overview of the GOSAT-2 mission and evaluates its XCH<sub>4</sub> data product, retrieved using absorption bands in the SWIR region, as well as Level 4 CH<sub>4</sub> flux estimates. Now that GOSAT-2 has been operating for more than seven years, the accumulated data volume enables a series of updates and improvements that were not previously possible.</p>
      <p id="d2e3896">The TANSO-FTS-2 instrument aboard GOSAT-2 incorporates several enhancements, including improved signal-to-noise ratio (SNR) and the Intelligent Pointing function. These improvements have led to a substantial increase in observational coverage and the volume of valid data acquisitions compared to the GOSAT mission. In particular, TANSO-FTS-2 has achieved significant progress in regions where observations were previously challenging, such as tropical areas and high-latitude zones. This expanded coverage and higher data density provide an improved observational basis for estimating national and regional CH<sub>4</sub> emissions through atmospheric inversion frameworks.</p>
      <p id="d2e3908">Using the G2L2 product, we estimated global CH<sub>4</sub> sources and sinks at a spatial resolution of 1.0° and a monthly time step. The global CH<sub>4</sub> budget derived from the posterior estimates is broadly consistent with annual budgets reported by the Global Carbon Project, confirming the reliability of the inversion framework. Compared to the prior estimates, the largest adjustments occur in regions with sparse ground-based coverage: positive corrections in tropical and subtropical areas and negative adjustments in parts of East Asia, the Middle East, and mid-latitude industrial regions. Posterior fluxes also exhibit pronounced seasonal cycles, particularly north of 10° S, reflecting improved representation of surface processes. These results highlight the capability of GOSAT-2 to refine global and regional CH<sub>4</sub> budgets.</p>
      <p id="d2e3938">To evaluate the G2L4 product, we compared posterior flux estimates with inversion results generated using the same model framework but constrained by different observational datasets: G1L2 product and a combination of ground-based and aircraft measurements. At the global and latitudinal scales, these comparisons show broad consistency, indicating that the accuracy of the G2L2 product is well supported. Regional assessments reveal that most areas exhibit good agreement among inversions, although some regions display noticeable differences in annual budgets depending on the observational constraints applied. In addition, we conducted a preliminary evaluation of anthropogenic CH<sub>4</sub> emissions at the regional scale. While this analysis demonstrates the potential of G2L2 for sectoral assessments, it also highlights regions where further investigation and methodological refinement are required.</p>
      <p id="d2e3951">The differences identified among inversion systems in this study indicate several directions for future improvement that directly follow from our regional analyses. First, the large spread observed in East Asia-where posterior estimates are particularly sensitive to the choice of satellite product and bias-correction approach-highlights the need for greater consistency among retrieval algorithms and for systematic cross-validation using independent datasets. Second, the strong agreement across inversions in the Western Middle East suggests that satellite observations can provide useful observational information for fossil-fuel-dominated regions when clear-sky conditions allow dense sampling, while also emphasizing the importance of refining aerosol-related radiance corrections to maximize the utility of SWIR measurements. Third, regions such as Northern Africa, Southeast Asia, and parts of South America, where inventories remain poorly constrained due to sparse ground-based observations, benefit substantially from the spatial coverage of satellite data. Coordinated use of multiple satellite missions, together with targeted in-situ deployments where feasible, would help reduce structural uncertainty in these under-observed areas. Overall, the results presented here highlight the value of GOSAT-2 observations for improving regional and sector-dominated CH<sub>4</sub> flux estimates and identify key areas where methodological harmonization and expanded observational coverage would further enhance confidence in future CH<sub>4</sub> assessments and satellite mission planning.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Description of the G2L4 data product</title>
      <p id="d2e3984">To facilitate reuse of the G2L4 dataset, this appendix summarizes the principal variables included in the product, the associated data conventions, and information that is not currently provided in the operational release.</p><table-wrap id="TA1" specific-use="star"><label>Table A1</label><caption><p id="d2e3990">Principal variables included in the GOSAT-2 Level 4 CH<sub>4</sub> flux product.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="3cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="4cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="7.4cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Variable</oasis:entry>
         <oasis:entry colname="col2">Unit</oasis:entry>
         <oasis:entry colname="col3">Description</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">lon</oasis:entry>
         <oasis:entry colname="col2">degrees_east</oasis:entry>
         <oasis:entry colname="col3">Longitude coordinate</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">lat</oasis:entry>
         <oasis:entry colname="col2">degrees_north</oasis:entry>
         <oasis:entry colname="col3">Latitude coordinate</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">time</oasis:entry>
         <oasis:entry colname="col2">hours since 01-01 00:00:00</oasis:entry>
         <oasis:entry colname="col3">Monthly time coordinate</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">flux_apri_ant_exricep</oasis:entry>
         <oasis:entry colname="col2">mg CH<sub>4</sub> m<sup>−2</sup> d<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col3">A priori anthropogenic emissions excluding rice paddies</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">flux_apri_ricep</oasis:entry>
         <oasis:entry colname="col2">mg CH<sub>4</sub> m<sup>−2</sup> d<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col3">A priori rice-paddy flux</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">flux_apri_wetl</oasis:entry>
         <oasis:entry colname="col2">mg CH<sub>4</sub> m<sup>−2</sup> d<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col3">A priori wetland flux</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">flux_apri_term</oasis:entry>
         <oasis:entry colname="col2">mg CH<sub>4</sub> m<sup>−2</sup> d<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col3">A priori termite flux</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">flux_apri_volc</oasis:entry>
         <oasis:entry colname="col2">mg CH<sub>4</sub> m<sup>−2</sup> d<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col3">A priori geological/volcanic flux</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">flux_apri_soilo</oasis:entry>
         <oasis:entry colname="col2">mg CH<sub>4</sub> m<sup>−2</sup> d<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col3">A priori soil oxidation flux</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">flux_apri_bmb</oasis:entry>
         <oasis:entry colname="col2">mg CH<sub>4</sub> m<sup>−2</sup> d<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col3">A priori biomass-burning flux</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">flux_apri_ocn</oasis:entry>
         <oasis:entry colname="col2">mg CH<sub>4</sub> m<sup>−2</sup> d<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col3">A priori ocean flux</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">flux_apos_tot</oasis:entry>
         <oasis:entry colname="col2">mg CH<sub>4</sub> m<sup>−2</sup> d<sup>−1</sup></oasis:entry>
         <oasis:entry colname="col3">Posterior total surface CH<sub>4</sub> flux</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="TA2"><label>Table A2</label><caption><p id="d2e4477">General conventions used in the G2L4 product.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Item</oasis:entry>
         <oasis:entry colname="col2">Description</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Format</oasis:entry>
         <oasis:entry colname="col2">NetCDF (CF-1.6 compliant)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Horizontal grid</oasis:entry>
         <oasis:entry colname="col2">1.0° latitude-longitude grid</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Temporal resolution</oasis:entry>
         <oasis:entry colname="col2">Monthly</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Missing value</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M289" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9999</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Flux unit</oasis:entry>
         <oasis:entry colname="col2">mg CH<sub>4</sub> m<sup>−2</sup> d<sup>−1</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Product version</oasis:entry>
         <oasis:entry colname="col2">V01.01</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Data source</oasis:entry>
         <oasis:entry colname="col2">GOSAT-2 TANSO-FTS-2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SWIR L2 XCH<sub>4</sub></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="TA3"><label>Table A3</label><caption><p id="d2e4627">Information not included in the current G2L4 release.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Item</oasis:entry>
         <oasis:entry colname="col2">Availability</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Posterior uncertainty estimates</oasis:entry>
         <oasis:entry colname="col2">Not provided</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Posterior covariance matrix</oasis:entry>
         <oasis:entry colname="col2">Not provided</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Inversion averaging kernels</oasis:entry>
         <oasis:entry colname="col2">Not provided</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Degrees of freedom for signal (DFS)</oasis:entry>
         <oasis:entry colname="col2">Not provided</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="FA1" specific-use="star"><label>Figure A1</label><caption><p id="d2e4692">Global map of GOSAT-2 orbital path.</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026-f10.png"/>

      </fig>

      <fig id="FA2" specific-use="star"><label>Figure A2</label><caption><p id="d2e4703">Same as Fig. <xref ref-type="fig" rid="F6"/>, but showing monthly CH<sub>4</sub> flux variations (Tg CH<sub>4</sub> month<sup>−1</sup>) estimated from G2L4 (orange), G1L2-based inversions (green), and ground-based inversions (blue).</p></caption>
        <graphic xlink:href="https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026-f11.png"/>

      </fig>

      <fig id="FA3"><label>Figure A3</label><caption><p id="d2e4746">Global land regions used in this study. The land surface is subdivided into 42 spatial units based on geographic location and broad climatic-biogeographic characteristics, following the regional classification adopted in the GOSAT Level 4 product.</p></caption>
        
        <graphic xlink:href="https://essd.copernicus.org/articles/18/6565/2026/essd-18-6565-2026-f12.png"/>

      </fig>


</app>
  </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e4763">MS conceptualized the study and performed the formal analysis. TM acquired funding. YN provided the model system. YY developed the G2L2 retrieval algorithm. Satellite operations and data acquisition were supported by HS, KS, and FK. The GOSAT-2 mission activities at NIES were supported by MS, YY, AK, IM, HN, HO, TS, YS, HY, and TM. MS wrote the initial draft of the manuscript. All authors contributed to reviewing and editing the final version of the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e4769">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="d2e4775">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="d2e4781">This research has been supported by the GOSAT-2 project of NIES. The model simulations were completed using the NIES supercomputer.</p></ack><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e4786">This paper was edited by Bastiaan van Diedenhoven and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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