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  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</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/amt-19-4313-2026</article-id><title-group><article-title>Enhanced methane monitoring: a globally harmonized daily 0.1<bold>°</bold> XCH<sub>4</sub> through machine learning-based fusion of GOSAT, GOSAT-2, and TROPOMI</article-title><alt-title>A globally harmonized daily 0.1<inline-formula><mml:math id="M2" display="inline"><mml:mi mathvariant="italic">°</mml:mi></mml:math></inline-formula> XCH<sub><bold>4</bold></sub></alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" equal-contrib="yes" corresp="no" rid="aff1">
          <name><surname>Keya</surname><given-names>Jebun Naher</given-names></name>
          
        <ext-link>https://orcid.org/0009-0007-4575-6775</ext-link></contrib>
        <contrib contrib-type="author" equal-contrib="yes" corresp="no" rid="aff1">
          <name><surname>Kim</surname><given-names>Yejin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6043-3957</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Choi</surname><given-names>Hyunyoung</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5913-4607</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Im</surname><given-names>Jungho</given-names></name>
          <email>ersgis@unist.ac.kr</email>
        <ext-link>https://orcid.org/0000-0002-4506-6877</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Civil, Urban, Earth, &amp; Environmental Engineering, Ulsan National Institute of Science and Technology, Ulsan, 44919, Republic of Korea</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Graduate School of Carbon Neutrality, Ulsan National Institute of Science and Technology, Ulsan, 44919, Republic of Korea</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Artificial Intelligence Graduate School, Ulsan National Institute of Science and Technology,  Ulsan, 44919, Republic of Korea</institution>
        </aff><author-comment content-type="econtrib"><p>These authors contributed equally to this work.</p></author-comment>
      </contrib-group>
      <author-notes><corresp id="corr1">Jungho Im (ersgis@unist.ac.kr)</corresp></author-notes><pub-date><day>30</day><month>June</month><year>2026</year></pub-date>
      
      <volume>19</volume>
      <issue>12</issue>
      <fpage>4313</fpage><lpage>4334</lpage>
      <history>
        <date date-type="received"><day>23</day><month>February</month><year>2026</year></date>
           <date date-type="rev-request"><day>16</day><month>March</month><year>2026</year></date>
           <date date-type="rev-recd"><day>26</day><month>May</month><year>2026</year></date>
           <date date-type="accepted"><day>29</day><month>May</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Jebun Naher Keya 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://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026.html">This article is available from https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e157">Accurate global monitoring of atmospheric methane (<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is essential for tracking progress toward climate mitigation targets such as the Global Methane Pledge (GMP). Ground-based measurement networks are too sparse to provide sufficient spatial coverage, while satellite-derived retrievals are hindered by systematic biases and uncertainties, limiting their reliability for consistent global monitoring. We present the first global fusion of GOSAT, GOSAT-2, and TROPOMI to generate a globally consistent daily 0.1° land dataset for 2020–2023 for enhanced global column-averaged dry-air mole fraction of atmospheric methane (<inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) mapping. The framework employs a three-step machine-learning (ML) approach: (1) sensor-specific bias correction using TCCON observations, (2) cross-sensor harmonization to GOSAT-2, the sensor with the strongest post-correction TCCON agreement, and (3) priority-based fusion. Tree-based ensemble regressors were trained with satellite retrieval parameters to reduce systematic biases and inter-sensor discrepancies. Independent validation at three withheld TCCON stations demonstrates robust generalization of the Fused product (<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M7" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.81, RMSE <inline-formula><mml:math id="M8" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10.78 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>), outperforming standard and operational bias-corrected satellite products and previously reported ML-based approaches. Regional assessments show that fusion substantially improves data availability and reduces systematic errors, delivering up to 9.5 % relative coverage gains compared to TROPOMI operational products in challenging regions (South Asia, Amazon Basin, Eastern Siberia). The Fused dataset reveals intensifying positive <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies (<inline-formula><mml:math id="M11" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>60 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>) over South Asia, East Asia, and Central Africa during 2020–2023, linked to MODIS-derived agricultural and urban land classes as well as known oil and gas fields. The dataset provides a scalable resource for regional <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions assessment and continuous monitoring, with the framework extendable to upcoming satellite missions (GOSAT-GW, CO2M) for long-term GMP progress tracking.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Korea Environmental Industry and Technology Institute</funding-source>
<award-id>RS-2023-00232066</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e262">Methane (<inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is a potent greenhouse gas (GHG), contributing approximately 0.6 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> of global warming since the pre-industrial era and accounting for nearly 30 % of the observed increase in global mean surface temperature (Naik et al., 2021; IEA, 2025). Despite lower atmospheric concentrations than <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, its global warming potential is 28 times higher over a 100-year horizon (Myhre et al., 2013; IPCC, 2014). Its high radiative efficiency, combined with a relatively short atmospheric lifetime due to oxidation by hydroxyl radicals (OH), makes <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> an especially effective target for near-term climate mitigation (Prather et al., 2012; Nisbet et al., 2020). Recent observations show that <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels have been rising at an unprecedented rate, with 2020–2022 marking the fastest growth since systematic monitoring began (Saunois et al., 2025). Major <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sources include anthropogenic activities (livestock farming, rice cultivation, fossil-fuel exploitation, and waste management) and natural wetland emissions (Saunois et al., 2025). Reflecting the urgency of mitigation, the Global Methane Pledge (GMP), launched at the 26th Conference of the Parties (COP26), aims to reduce global <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions by at least 30 % from 2020 levels by 2030 (IEA, 2022). Accurate quantification of the column-averaged dry-air mole fraction of atmospheric methane (<inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is therefore essential for identifying emission sources and evaluating progress toward climate goals.</p>
      <p id="d2e353">Ground-based monitoring systems such as the Total Carbon Column Observing Network (TCCON) provide high-precision <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements and serve as key reference data for satellite validation and bias correction. Despite their accuracy, TCCON sites are limited in number and spatially sparse (Lorente et al., 2021), leaving large observational gaps across Africa, South America, and large parts of Asia. Satellite platforms help address these limitations by providing broad spatial coverage. The Greenhouse gases Observing SATellite (GOSAT), GOSAT-2, and the TROPOspheric Monitoring Instrument (TROPOMI) have enabled global-scale mapping of <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and have been widely used for emission estimation and inverse modeling (Qu et al., 2021; Worden et al., 2022; Nesser et al., 2024; Maasakkers et al., 2019; Janardanan et al., 2020). However, these instruments exhibit distinct trade-offs in spatial resolution, revisit frequency, and retrieval accuracy. GOSAT and GOSAT-2 provide high spectral resolution (0.06 nm) but limited spatial and temporal coverage with <inline-formula><mml:math id="M24" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> circular footprints and multi-day revisit intervals (Kuze et al., 2016; Suto et al., 2021). In contrast, TROPOMI offers near-daily global coverage at finer spatial resolution (5.5 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M27" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 7 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) but suffers from larger retrieval uncertainties due to lower spectral sensitivity and greater vulnerability to clouds and aerosols (Jacob et al., 2022; Hasekamp et al., 2022; Umezawa et al., 2025). As a result, no single satellite can offer both the accuracy and coverage desirable for robust global-scale <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> monitoring, making multi-sensor data fusion necessary. However, merging multiple sources first requires addressing the systematic biases inherent to each sensor to ensure inter-sensor consistency.</p>
      <p id="d2e428">Previous bias correction studies have relied on statistical regression approaches that account for factors such as surface albedo, aerosol loading, and viewing geometry (Inoue et al., 2016), as well as small-area approximation methods that derive surface albedo-related biases directly from satellite observations (Lorente et al., 2021). However, such methods can struggle to capture nonlinear, sensor-specific bias structures. Machine learning (ML) approaches, including Random Forest (RF), Light Gradient Boosting Machine (LightGBM), and eXtreme Gradient Boosting (XGBoost), have demonstrated improved bias correction performance by learning complex relationships between retrieval errors and environmental or observational predictors (Balasus et al., 2023; Schneising et al., 2023; Li et al., 2024).</p>
      <p id="d2e431">Despite these advances, several limitations remain. Some studies improve spatial coverage but retain substantial residual bias (Li et al., 2024), whereas others reduce systematic bias by applying global offsets to match TCCON means (Balasus et al., 2023; Parker et al., 2020), an approach that can ignore regional variations in sensor bias. Moreover, most prior work has focused on single-sensor enhancement or limited dual-sensor combinations (e.g., GOSAT <inline-formula><mml:math id="M30" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> TROPOMI), leaving the potential of multi-sensor fusion underexplored (Fan et al., 2024; Balasus et al., 2023; Li et al., 2024). In contrast, <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> research has increasingly adopted multi-platform fusion (e.g., OCO-2, OCO-3, GOSAT, and GOSAT-2) as a standard approach (Chen et al., 2024; Wang et al., 2022), while comprehensive global <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fusion products remain comparatively scarce. To the best of our knowledge, GOSAT-2 has not yet been incorporated into a global <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fusion product, despite its improved spectral performance and expanded coverage relative to GOSAT.</p>
      <p id="d2e475">To address these gaps and enable consistent global <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> monitoring, we develop an ML-based multi-sensor harmonization and fusion framework that (1) corrects sensor-specific biases using TCCON observations, (2) harmonizes all satellite retrievals to the most accurate sensor (GOSAT-2), and (3) fuses the harmonized retrievals to maximize daily spatial coverage while preserving accuracy. The resulting product provides global daily <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over land (60° S–80° N) at 0.1° resolution for 2020–2023, with improved accuracy and spatiotemporal coverage, compared to individual sensor retrievals. This enhanced dataset enables more reliable regional emission analysis, hotspot identification, and source characterization.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e502">Study domain and TCCON sites (GGG2020 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) used during 2020–2023. Cyan circles denote sites used for model training/validation. Green stars indicate independent test sites held out from training and used only for evaluation of the Fused <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product. Red boxes (A–E) denote regions of interest used for regional analyses in Sect. 4.3. The background map shows the 2020–2023 mean SWIR surface albedo from TROPOMI.</p></caption>
        <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f01.png"/>

      </fig>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e536">TCCON (GGG2020 version) sites used for evaluation of satellite <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and machine learning based bias correction.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">TCCON site (site ID)</oasis:entry>
         <oasis:entry colname="col2">Latitude, Longitude (°)</oasis:entry>
         <oasis:entry colname="col3">Elevation (<inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">Data reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Bremen<sup>a,b</sup> (bremen01)</oasis:entry>
         <oasis:entry colname="col2">53.10, 8.85</oasis:entry>
         <oasis:entry colname="col3">30</oasis:entry>
         <oasis:entry colname="col4">Notholt et al. (2022)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Burgos (burgos01)</oasis:entry>
         <oasis:entry colname="col2">18.53, 120.65</oasis:entry>
         <oasis:entry colname="col3">35</oasis:entry>
         <oasis:entry colname="col4">Morino et al. (2022a)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Darwin (darwin01)</oasis:entry>
         <oasis:entry colname="col2">12.46, 130.93</oasis:entry>
         <oasis:entry colname="col3">37</oasis:entry>
         <oasis:entry colname="col4">Deutscher et al. (2023)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">East Trout Lake (easttroutlake01)</oasis:entry>
         <oasis:entry colname="col2">54.35, <inline-formula><mml:math id="M44" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>104.99</oasis:entry>
         <oasis:entry colname="col3">501.8</oasis:entry>
         <oasis:entry colname="col4">Wunch et al. (2022)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Edwards<sup>c</sup> (edwards01)</oasis:entry>
         <oasis:entry colname="col2">34.96, <inline-formula><mml:math id="M46" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>117.88</oasis:entry>
         <oasis:entry colname="col3">888</oasis:entry>
         <oasis:entry colname="col4">Iraci et al. (2022)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Garmisch<sup>c</sup> (garmisch01)</oasis:entry>
         <oasis:entry colname="col2">47.48, 11.06</oasis:entry>
         <oasis:entry colname="col3">743</oasis:entry>
         <oasis:entry colname="col4">Sussmann et al. (2025)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Hefei (hefei01)</oasis:entry>
         <oasis:entry colname="col2">31.90, 117.17</oasis:entry>
         <oasis:entry colname="col3">30</oasis:entry>
         <oasis:entry colname="col4">Liu et al. (2023)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Karlsruhe (karlsruhe01)</oasis:entry>
         <oasis:entry colname="col2">49.10, 8.44</oasis:entry>
         <oasis:entry colname="col3">119</oasis:entry>
         <oasis:entry colname="col4">Hase et al. (2024)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lamont (lamont01)</oasis:entry>
         <oasis:entry colname="col2">36.60, <inline-formula><mml:math id="M48" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>97.49</oasis:entry>
         <oasis:entry colname="col3">320</oasis:entry>
         <oasis:entry colname="col4">Wennberg et al. (2025)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lauder (lauder03)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M49" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>45.04, 169.68</oasis:entry>
         <oasis:entry colname="col3">370</oasis:entry>
         <oasis:entry colname="col4">Pollard et al. (2022)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Nicosia<sup>a</sup> (nicosia01)</oasis:entry>
         <oasis:entry colname="col2">35.14, 33.38</oasis:entry>
         <oasis:entry colname="col3">185</oasis:entry>
         <oasis:entry colname="col4">Petri et al. (2024)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Orléans (orleans01)</oasis:entry>
         <oasis:entry colname="col2">47.97, 2.11</oasis:entry>
         <oasis:entry colname="col3">130</oasis:entry>
         <oasis:entry colname="col4">Warneke et al. (2024)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Paris  (paris01)</oasis:entry>
         <oasis:entry colname="col2">48.85, 2.36</oasis:entry>
         <oasis:entry colname="col3">60</oasis:entry>
         <oasis:entry colname="col4">Té et al. (2022)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Park Falls (parkfalls01)</oasis:entry>
         <oasis:entry colname="col2">45.95, <inline-formula><mml:math id="M51" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>90.27</oasis:entry>
         <oasis:entry colname="col3">442</oasis:entry>
         <oasis:entry colname="col4">Wennberg et al. (2022b)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pasadena (pasadena01)</oasis:entry>
         <oasis:entry colname="col2">34.14, <inline-formula><mml:math id="M52" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>118.13</oasis:entry>
         <oasis:entry colname="col3">210</oasis:entry>
         <oasis:entry colname="col4">Wennberg et al. (2022a)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rikubetsu<sup>a</sup> (rikubetsu01)</oasis:entry>
         <oasis:entry colname="col2">43.46, 143.77</oasis:entry>
         <oasis:entry colname="col3">380</oasis:entry>
         <oasis:entry colname="col4">Morino et al. (2022b)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Saga (saga01)</oasis:entry>
         <oasis:entry colname="col2">33.24, 130.29</oasis:entry>
         <oasis:entry colname="col3">7</oasis:entry>
         <oasis:entry colname="col4">Shiomi et al. (2022)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sodankylä (sodankyla01)</oasis:entry>
         <oasis:entry colname="col2">67.37, 26.63</oasis:entry>
         <oasis:entry colname="col3">188</oasis:entry>
         <oasis:entry colname="col4">Kivi et al. (2026)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tsukuba (tsukuba02)</oasis:entry>
         <oasis:entry colname="col2">36.05, 140.12</oasis:entry>
         <oasis:entry colname="col3">31</oasis:entry>
         <oasis:entry colname="col4">Morino et al. (2022c)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Xianghe<sup>c</sup> (xianghe01)</oasis:entry>
         <oasis:entry colname="col2">39.75, 116.96</oasis:entry>
         <oasis:entry colname="col3">36</oasis:entry>
         <oasis:entry colname="col4">Zhou et al. (2022)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e550"><sup>a</sup> Sites excluded from the GOSAT evaluation under the GOSAT colocation criteria. <sup>b</sup> Sites excluded from the GOSAT-2 evaluation under the GOSAT-2 colocation criteria. <sup>c</sup> Independent test sites not used for training/validation of the machine learning based bias-correction model.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Datasets</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Ground XCH<sub>4</sub> observations</title>
      <p id="d2e1050">TCCON is a global network of ground-based Fourier transform spectrometers (FTSs) that record direct solar spectra in the near-infrared (NIR) region (Wunch et al., 2011). TCCON serves as a benchmark dataset for validating satellite-derived <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> because its measurements are minimally affected by aerosol loading, airmass uncertainty, and surface-reflectance variability compared with SWIR satellite retrievals (Dils et al., 2014; Malina et al., 2022). We obtained the latest TCCON GGG2020 dataset from the TCCON data archive hosted by CaltechDATA (<uri>https://tccondata.org/</uri>, last access: 26 December 2025) spanning January 2020 to December 2023, covering the overlapping observation period of TROPOMI, GOSAT, and GOSAT-2. Stations used in this study are shown in Fig. 1 and listed in Table 1.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e1070">Key specifications of GOSAT, GOSAT-2, and Sentinel-5P/TROPOMI <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> products used in this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GOSAT</oasis:entry>
         <oasis:entry colname="col3">GOSAT-2</oasis:entry>
         <oasis:entry colname="col4">TROPOMI</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Local overpass time</oasis:entry>
         <oasis:entry colname="col2">13:00 LST</oasis:entry>
         <oasis:entry colname="col3">13:00 LST</oasis:entry>
         <oasis:entry colname="col4">13:30 LST</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pixel size</oasis:entry>
         <oasis:entry colname="col2">10.5 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> diameter</oasis:entry>
         <oasis:entry colname="col3">9.7 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> diameter</oasis:entry>
         <oasis:entry colname="col4">5.5 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M63" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 7 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pixel separation</oasis:entry>
         <oasis:entry colname="col2">260–280 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">260–280 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">None</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Coverage</oasis:entry>
         <oasis:entry colname="col2">global</oasis:entry>
         <oasis:entry colname="col3">global</oasis:entry>
         <oasis:entry colname="col4">global</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Revisit time</oasis:entry>
         <oasis:entry colname="col2">3 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">6 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">Sub-daily</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Spectral resolution</oasis:entry>
         <oasis:entry colname="col2">0.06 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">0.06 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.25 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Retrieval type</oasis:entry>
         <oasis:entry colname="col2">full physics</oasis:entry>
         <oasis:entry colname="col3">full physics</oasis:entry>
         <oasis:entry colname="col4">full physics</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Retrieval version</oasis:entry>
         <oasis:entry colname="col2">v03.05</oasis:entry>
         <oasis:entry colname="col3">v02.00</oasis:entry>
         <oasis:entry colname="col4">version 02.04.00</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Number of retrievals per day (pixel)<sup>∗</sup></oasis:entry>
         <oasis:entry colname="col2">360</oasis:entry>
         <oasis:entry colname="col3">908</oasis:entry>
         <oasis:entry colname="col4">386,233</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e1084"><sup>∗</sup> The number of <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals per day represents the average soundings calculated per day over the full study period from 1 January 2020 to 31 December 2023.LST: Local Solar Time.</p></table-wrap-foot></table-wrap>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1376">Spatial distribution of daily <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals over land on 1 January 2020 from GOSAT, GOSAT-2, and TROPOMI. Red markers indicate native pixel locations of individual soundings and are enlarged for visualization purposes.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f02.png"/>

        </fig>


</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Satellite XCH<sub>4</sub> products</title>
      <p id="d2e1416">This study used <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> products from TROPOMI, GOSAT, and GOSAT-2. These satellite platforms have been widely used for regional and global GHG monitoring, emission estimation, and multi-sensor <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> data integration (Balasus et al., 2023; Fan et al., 2024; Bao et al., 2025; Wang et al., 2025; Liu et al., 2026; Lee et al., 2025: Choi and Jeong, 2026). All three missions retrieve <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> using full-physics algorithms that simultaneously estimate surface albedo, atmospheric scattering, and trace-gas concentrations from SWIR and NIR spectra (Butz et al., 2011). However, full-physics retrievals are sensitive to clouds, aerosols, and surface heterogeneity, increasing retrieval bias and reducing data availability in high-aerosol regions and complex terrain (Jacob et al., 2022; Umezawa et al., 2025). GOSAT and GOSAT-2 provide high-precision measurements with spectral resolution approximately four times finer than that of TROPOMI (Kuze et al., 2009, 2016; Suto et al., 2021; Jacob et al., 2022; Noël et al., 2021; Table 2), whereas TROPOMI offers daily global mapping, which increases data density despite higher susceptibility to atmospheric interference (Hu et al., 2018; Qu et al.,2021). These contrasting characteristics reflect an inherent trade-off between sampling density and retrieval accuracy. Table 2 summarizes mission specifications, and Fig. 2 illustrates daily sampling patterns for 1 January 2020.</p>
<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>GOSAT</title>
      <p id="d2e1459">GOSAT (also known as <italic>Ibuki</italic>), launched in 2009, carries the Thermal And Near infrared Sensor for carbon Observation Fourier Transform Spectrometer (TANSO-FTS) and the TANSO Cloud and Aerosol Imager (CAI) in a sun-synchronous orbit at 666 <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (Kuze et al., 2009). TANSO-FTS measures high-resolution spectra in the SWIR and thermal infrared bands, which are used to retrieve column abundances of <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Yoshida et al., 2011). We used the NIES SWIR L2 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product (v03.05) from GOSAT Data Archive Service (GDAS: <uri>https://data2.gosat.nies.go.jp/</uri>, last access: 26 December 2025), which provides both bias-uncorrected (hereafter standard) and bias-corrected retrievals calibrated against TCCON GGG2014 (Inoue et al., 2016). The standard product was used as ML model input, while the bias-corrected product was used for comparison.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>GOSAT-2</title>
      <p id="d2e1518">GOSAT-2, the successor to GOSAT, was launched in 2018, carries upgraded TANSO-FTS-2 and CAI-2 with an intelligent cloud-avoidance pointing strategy, enabling enhanced sensitivity and expanded spatial coverage (Suto et al., 2021; Imasu et al., 2023; Park et al., 2024). GOSAT-2 extends Band 3 spectral coverage to 2.33 <inline-formula><mml:math id="M82" 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> (compared to 2.08 <inline-formula><mml:math id="M83" 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> for GOSAT), capturing additional <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> absorption features. We used the SWIR Level-2 full-physics <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product (v02.00; hereafter standard) from the GOSAT-2 archive (<uri>https://data2.gosat.nies.go.jp/</uri>, last access: 26 December 2025). To ensure high data reliability, only retrievals with quality flag <inline-formula><mml:math id="M86" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0 were retained for bias-correction modeling.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1576">Overview of the machine learning (ML)-based bias correction (BC) and data fusion framework used to generate the Fused <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product.</p></caption>
            <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f03.png"/>

          </fig>


</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>TROPOMI</title>
      <p id="d2e1607">TROPOMI, the sole payload on ESA's Sentinel-5 Precursor (S5P) mission launched in 2017, is a nadir-viewing push-broom hyperspectral imaging spectrometer that measures radiance from the ultraviolet (UV) to the SWIR (Veefkind et al., 2012). <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals are derived using the RemoTeC algorithm (Hasekamp et al., 2022), and the sun-synchronous orbit with an approximately 2,600 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> swath width enables near-daily global mapping of atmospheric <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. We used the S5P Level-2 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product (S5P_L2__CH4____HiR) from NASA Goddard Earth Sciences Data and Information Services Center (GES DISC; <uri>https://disc.gsfc.nasa.gov/datasets/S5P_L2__CH4____HiR_2/summary?keywords=methane</uri>, last access: 22 June 2026). This dataset provides both uncorrected <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (hereafter standard) and the posteriori albedo-dependent bias corrected <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Lorente et al., 2021), along with associated retrieval parameters. For consistency with GOSAT and GOSAT-2, we selected standard <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals with a quality assurance flag qa_value <inline-formula><mml:math id="M95" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 as model input, while the official bias-corrected product was used for comparison.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methodology</title>
      <p id="d2e1706">To address limitations of single-sensor <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals and inter-satellite inconsistencies, we developed an integrated ML framework that combines bias correction, cross-sensor harmonization, and multi-sensor fusion of <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals from TROPOMI, GOSAT, and GOSAT-2. The framework produces a globally harmonized daily 0.1° land <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product for 2020–2023 through three hierarchical steps (Fig. 3): <list list-type="bullet"><list-item>
      <p id="d2e1744"><italic>Step 1:</italic> Sensor-specific bias correction using TCCON as the calibration standard.</p></list-item><list-item>
      <p id="d2e1750"><italic>Step 2:</italic> Inter-satellite harmonization by aligning all datasets to the most accurate sensor (bias-corrected GOSAT-2).</p></list-item><list-item>
      <p id="d2e1756"><italic>Step 3:</italic> Multi-sensor fusion to maximize daily spatial coverage while preserving accuracy.</p></list-item></list></p>
      <p id="d2e1761">We define the systematic retrieval bias for a given satellite observation as:

          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M99" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>Bias</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">Satellite</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">Reference</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula>

        where <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Satellite</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> denotes the standard (uncorrected) satellite retrieval and <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">Reference</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> denotes the reference value (TCCON in Step 1; bias-corrected GOSAT-2 in Step 2). For BC, we used ensemble tree-based regressors (RF and XGBoost) due to their strong performance and stability in tabular regression with nonlinear interactions (Hwang and Song, 2023; Shwartz-Ziv and Armon, 2022). For GOSAT and GOSAT-2, the predictor set additionally included co-retrieved <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-related variables because <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are retrieved simultaneously from the same SWIR spectra using a shared full-physics forward model (Butz et al., 2010). Scattering-induced light-path errors often affect both gases in a correlated manner (Oshio et al., 2020). As TROPOMI does not retrieve <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, only <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrieval parameters were selected based on established practice (Balasus et al., 2023). Using these parameters, mission-specific BC models were trained to predict bias (<inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mtext>Bias</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and the predicted bias was subtracted from the original retrieval:

          <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M108" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">BC</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Satellite</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mover accent="true"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mtext>Bias</mml:mtext></mml:msub></mml:mrow></mml:math></disp-formula></p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e1951">Colocation criteria used for TCCON-based bias correction (Step 1) and inter-satellite harmonization (Step 2). All thresholds were chosen based on satellite-specific characteristics and standard validation practices.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Step</oasis:entry>
         <oasis:entry colname="col2">Reference</oasis:entry>
         <oasis:entry colname="col3">Satellite</oasis:entry>
         <oasis:entry colname="col4">Radius (<inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col5">Time window</oasis:entry>
         <oasis:entry colname="col6">Altitude difference (<inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Step 1</oasis:entry>
         <oasis:entry colname="col2">TCCON</oasis:entry>
         <oasis:entry colname="col3">GOSAT, GOSAT-2</oasis:entry>
         <oasis:entry colname="col4">200</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M111" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 30 <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M113" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 250</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">TROPOMI</oasis:entry>
         <oasis:entry colname="col4">100</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M114" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Step 2</oasis:entry>
         <oasis:entry colname="col2">Bias-corrected GOSAT-2</oasis:entry>
         <oasis:entry colname="col3">GOSAT</oasis:entry>
         <oasis:entry colname="col4">20</oasis:entry>
         <oasis:entry colname="col5">Same date</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M116" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 200</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">TROPOMI</oasis:entry>
         <oasis:entry colname="col4">5</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M117" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6">–</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Data preprocessing and colocation</title>
      <p id="d2e2170">Reliable colocation between satellite retrievals and reference observations is essential for bias correction and validation. The sparse global distribution of TCCON sites prevents perfectly coincident measurements (Zhou et al., 2016). We therefore constructed collocated training pairs using satellite-specific spatiotemporal and elevation constraints, adopting criteria from previous studies and official validation strategies (Balasus et al., 2023; Yoshida et al., 2023). Using the criteria in Table 3, we first established Step 1 between each satellite and TCCON. To ensure adequate temporal representation across 2020–2023 and sufficient training samples, TCCON site with fewer than 20 collocated observations (i.e., eureka01) was excluded. We then constructed Step 2 inter-satellite colocations, pairing GOSAT and TROPOMI observations with TCCON calibrated GOSAT-2 using the thresholds in Table 3.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>ML-based bias correction and harmonization</title>
      <p id="d2e2181">While GOSAT and TROPOMI provide official bias-corrected products (Inoue et al., 2016; Lorente et al., 2021), GOSAT-2 does not. To treat all sensors consistently, we developed a unified ML framework using TCCON as the calibration standard. Previous studies improved TROPOMI <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> by aligning to GOSAT official (Fan et al., 2024) or GOSAT proxy data (Balasus et al., 2023; Li et al., 2024), which applies a single global offset to force mean bias to zero and is available only through 2021 (Parker et al., 2020). Our approach directly calibrates each sensor against TCCON, enabling spatially and temporally adaptive bias correction throughout 2020–2023 and data-driven harmonization reference selection.</p>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Step 1: TCCON-based bias correction</title>
      <p id="d2e2202">For each satellite, we trained ML models using satellite–TCCON collocated pairs to predict the systematic bias between raw satellite retrievals and TCCON:

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M120" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mtext>Bias</mml:mtext><mml:mo>,</mml:mo><mml:mtext>step1</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Satellite</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">TCCON</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e2248">Satellite-specific retrieval parameters were used as predictors to model systematic error in the raw <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals. Because each mission provides a large number of candidate retrieval parameters (<inline-formula><mml:math id="M122" display="inline"><mml:mo lspace="0mm">&gt;</mml:mo></mml:math></inline-formula> 100), we applied a three-stage feature selection procedure: <list list-type="custom"><list-item><label>1.</label>
      <p id="d2e2271">Correlation screening: Pearson and Spearman analyses to rank predictors based on linear and monotonic associations with <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mtext>Bias</mml:mtext><mml:mo>,</mml:mo><mml:mtext>step1</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>.</p></list-item><list-item><label>2.</label>
      <p id="d2e2291">Recursive feature elimination (RFE): RFE with cross-validation to identify a compact predictor subset.</p></list-item><list-item><label>3.</label>
      <p id="d2e2295">Refinement: final adjustment using feature-importance rankings from preliminary models.</p></list-item></list></p>
      <p id="d2e2298">The final predictor lists are provided in Tables S1–S3 in the Supplement. The trained model predicts <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mrow><mml:mtext>Bias</mml:mtext><mml:mo>,</mml:mo><mml:mtext>step1</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and the bias-corrected product is computed using Eq. (2).</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Step 2: Inter-sensor harmonization</title>
      <p id="d2e2328">To select a harmonization reference, we evaluated the Step 1 bias-corrected outputs from all three sensors against common TCCON observations. GOSAT-2 exhibited the highest agreement with TCCON and was therefore selected as the harmonization reference (detailed results in Sect. 4.2). Using inter-satellite collocations, we developed ML models to reduce sensor-to-sensor discrepancies relative to calibrated GOSAT-2:

              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M125" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mrow><mml:mtext>Bias</mml:mtext><mml:mo>,</mml:mo><mml:mtext>step2</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Satellite</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BC</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">GOSAT</mml:mi><mml:mtext>-</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">Satellite</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the standard retrieval from the target sensor (GOSAT or TROPOMI) and <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">BC</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">GOSAT</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the Step-1 bias-corrected GOSAT-2 retrieval. Feature selection followed the same three-stage procedure as in Sect. 3.2.1 (correlation screening, RFE, and importance refinement). Final predictor lists are provided in Tables S3 and S4. We trained ML models to predict <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo stretchy="false" mathvariant="normal">^</mml:mo></mml:mover><mml:mrow><mml:mtext>Bias</mml:mtext><mml:mo>,</mml:mo><mml:mtext>step2</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and generated GOSAT-2-like harmonized products by subtracting the predicted bias:

              <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M129" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Harmonized</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Satellite</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mover accent="true"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo mathvariant="normal" stretchy="false">^</mml:mo></mml:mover><mml:mrow><mml:mtext>Bias</mml:mtext><mml:mo>,</mml:mo><mml:mtext>step2</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula></p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Step 3: Data Fusion</title>
      <p id="d2e2497">The fusion step integrates harmonized satellite datasets into a single daily 0.1° gridded product. We adopted a hierarchical priority-based fusion strategy (Chen et al., 2024), ranking datasets by their validation performance against TCCON and inter-sensor consistency. Because GOSAT-2 was selected as the harmonization reference and exhibits the strongest independent agreement with TCCON, it was assigned the highest priority. Based on the Step-2 evaluation, the final ranking used for fusion was:

                <disp-formula specific-use="gather"><mml:math id="M130" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>GOSAT-2</mml:mtext><mml:mo>(</mml:mo><mml:mtext>BC</mml:mtext><mml:mo>)</mml:mo><mml:mo>→</mml:mo><mml:mtext>TROPOMI</mml:mtext><mml:mo>(</mml:mo><mml:mtext>GOSAT-2-like</mml:mtext><mml:mo>)</mml:mo><mml:mo>→</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>GOSAT</mml:mtext><mml:mo>(</mml:mo><mml:mtext>GOSAT-2-like</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e2541">For each day and each 0.1° grid cell <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the Fused product was defined as:

            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M132" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">Fused</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mfenced open="{" close=""><mml:mtable columnspacing="1em" class="cases" rowspacing="0.2ex" columnalign="left left" framespacing="0em"><mml:mtr><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">GOSAT</mml:mi><mml:mtext>-</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>if  available</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">TROPOMI</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>else  if  available</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">GOSAT</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>,</mml:mo><mml:mi>y</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mtext>else  if  available</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">NaN</mml:mi></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow class="chem"><mml:mi mathvariant="normal">otherwise</mml:mi></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e2705">This rule retains the highest-priority valid observation at each location and time, thereby improving both spatial coverage and precision of the Fused daily <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Model evaluation</title>
      <p id="d2e2727">The spatial and temporal generalization performance of the BC was quantitatively evaluated using step-specific validation strategies. In Step 1, spatial generalization was assessed using leave-one-site-out cross-validation (LOSOCV) to account for site-to-site differences in background <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels and spatial heterogeneity. Temporal generalization was evaluated using leave-one-month-out cross-validation (LOMOCV) and leave-one-year-out cross-validation (LOYOCV) to account for interannual variability and growth trends (Jang et al., 2024). In Step 2, leave-one-band-out cross-validation (LOBOCV) was applied across 11 latitudinal zones (60° S–80° N; Fig. S1 in the Supplement) to account for latitudinal gradients in <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (Maasakkers et al. 2019; Hwang et al., 2026), with temporal validation using LOMOCV and LOYOCV. Model performance was evaluated using three standard metrics: coefficient of determination (<inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>), root mean square error (RMSE) and mean absolute error (MAE) (Eqs. S1–S3 in the Supplement).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2765">Site-wise scatterplots of column-averaged dry-air methane (<inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) between Total Carbon Column Observing Network (TCCON) and satellite products; <bold>(a–c)</bold> TROPOMI <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(d–f)</bold> GOSAT <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(g–h)</bold> GOSAT-2 <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for the operational standard and operational bias-corrected products, and machine learning (ML) based bias-corrected result (under leave-one-site-out cross-validation), respectively. Each marker represents the mean <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at one TCCON site over the study period (2020–2023), with horizontal and vertical error bars indicating one standard deviation of TCCON and satellite <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, respectively. Red lines denote least-squares linear regression fits.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f04.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results and discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Overall validation against TCCON</title>
      <p id="d2e2866">We evaluated the spatiotemporal generalization performance of official satellite products and ML-based bias-correction against TCCON. In Fig. 4, LOSOCV results and TCCON observations were aggregated at each TCCON site to examine site-level mean bias, within-site variability, and station-to-station consistency. The standard products systematically deviated from the <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line, with pronounced negative biases at low-<inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sites such as darwin01, lauder03, and sodankyla01 (Fig. 4a, d, and g; see Fig. 1 for site locations). These sites are located in the Southern Hemisphere or high latitudes, where challenging retrieval conditions (e.g., high solar zenith angle and high surface albedo) and limited TCCON sampling can amplify errors. In addition, operational bias corrections tuned around typical global <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> levels (<inline-formula><mml:math id="M146" display="inline"><mml:mo lspace="0mm">≈</mml:mo></mml:math></inline-formula> 1850–1900 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>) can leave larger residual deviations at the low and high tails.</p>
      <p id="d2e2918">In contrast, the ML-based correction tightened site-level agreement for all sensors, reducing both RMSE and MAE. This correction used sensor-specific models selected based on CV performance (Table S5; XGBoost for TROPOMI, RF for GOSAT and GOSAT-2). For TROPOMI, the RMSE decreased from 14.26 <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> (standard) and 5.49 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> (operational bias-corrected) to 3.79 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> (ML), corresponding to reduction of 73 % and 31 %, respectively (Fig. 4a–c). For GOSAT, RMSE reductions of 54 % and 45 % were achieved relative to the operational standard and bias-corrected products, respectively, while GOSAT-2 showed a 41 % reduction relative to the operational standard (Fig. 4d–h). Site-wise error statistics (Figs. S2–S4) confirmed these improvements, with ML-based correction reducing both station-wise mean bias (<inline-formula><mml:math id="M151" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula>) and variability (<inline-formula><mml:math id="M152" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>), indicating more uniform performance under spatially heterogeneous conditions. Given a global <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> growth rate of <inline-formula><mml:math id="M154" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 8–14 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> during the study period (NOAA GML; <uri>https://gml.noaa.gov/ccgg/trends_ch4/</uri>, last access: 26 December 2025), these reductions are large enough to influence long-term trend interpretation.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3000">Monthly and seasonally aggregated <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> bias distributions under leave-one-month-out cross-validation (LOMOCV). Box-and-whisker plots show bias distributions (Satellite <inline-formula><mml:math id="M157" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> TCCON) for each calendar month and their seasonal aggregations for <bold>(a)</bold> TROPOMI, <bold>(b)</bold> GOSAT, and <bold>(c)</bold> GOSAT-2. The compared datasets include the uncorrected operational standard products, operational bias-corrected products, and ML-based bias-corrected results. Boxes indicate the interquartile range (IQR) with the median shown as a horizontal white line. The shaded band marks the <inline-formula><mml:math id="M158" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8 <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> range around zero bias.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f05.png"/>

        </fig>

      <p id="d2e3053">The LOMOCV results further highlighted differences in temporal generalization (Fig. 5). Across sensors, the standard products showed negative biases and broad interquartile ranges (IQRs) throughout the year, with strong negative shifts from June to September. The seasonal aggregation confirmed that this negative bias was most pronounced in June–July–August (JJA). This seasonal pattern is consistent with known sensitivities of SWIR-based <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals to surface albedo and atmospheric scattering by aerosols and cirrus (Inoue et al., 2016; Hu et al., 2016; Lorente et al., 2021; Oshio et al., 2020). These factors can modify the effective light path and vary seasonally with vegetation, humidity, cloud conditions, and solar geometry. Operational bias correction shifted the median bias toward zero but still exhibited larger seasonal dispersion than the ML-based correction. The ML-based correction maintained seasonal medians near zero and reduced both the IQRs and non-outlier spread, with most IQRs remaining within <inline-formula><mml:math id="M161" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>, indicating more stable performance under seasonal variability.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3084">Dependence of <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios (<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mtext>TCCON</mml:mtext><mml:mo>/</mml:mo><mml:mtext>Satellite</mml:mtext></mml:mrow></mml:math></inline-formula>) on key retrieval variables and its reduction after bias correction. <bold>(a, b)</bold> (<inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:mtext>TCCON</mml:mtext><mml:mo>/</mml:mo><mml:mtext>TROPOMI</mml:mtext></mml:mrow></mml:math></inline-formula>) <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio as a function of SWIR surface albedo for the standard product <bold>(a)</bold> and after bias correction <bold>(b)</bold>. <bold>(c–f)</bold> Same as <bold>(a)</bold>, <bold>(b)</bold> but for GOSAT and GOSAT-2 as a function of surface pressure difference (<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>Ps</mml:mtext></mml:mrow></mml:math></inline-formula>): standard product in <bold>(c)</bold>, <bold>(e)</bold> and bias-corrected results in <bold>(d)</bold>, <bold>(f)</bold>. Solid lines denote the fitted least-squares regressions, and the dashed horizontal line indicates the unbiased reference level (ratio <inline-formula><mml:math id="M168" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1). The Pearson correlation coefficient (<inline-formula><mml:math id="M169" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) and regression equation are reported in each panel.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f06.png"/>

        </fig>

      <p id="d2e3195">Figure 6 further illustrates condition-dependent biases by relating the <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio (<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mtext>TCCON</mml:mtext><mml:mo>/</mml:mo><mml:mtext>satellite</mml:mtext></mml:mrow></mml:math></inline-formula>) to key retrieval variables. For TROPOMI, the standard product shows a strong negative dependence on SWIR surface albedo (<inline-formula><mml:math id="M172" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M173" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M174" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.49; Fig. 6a), consistent with known sensitivity to scattering-related light-path errors under low-albedo conditions (Lorente et al., 2021; Balasus et al., 2023; Li et al., 2024). Bias correction substantially reduces this dependence (Fig. 6b), yielding near-zero correlation (<inline-formula><mml:math id="M175" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M176" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M177" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.02) and indicating that albedo-driven bias is largely mitigated. For the GOSAT series, operational bias correction is implemented as a multiple linear regression using explanatory variables (e.g., <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>Ps</mml:mtext></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, airmass, and <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>) (Inoue et al., 2016; Yoshida et al., 2023). Consistently, <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>Ps</mml:mtext></mml:mrow></mml:math></inline-formula> dependence is weak for GOSAT (<inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.22</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. 6c) and more evident for GOSAT-2 (<inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.35</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. 6e) in the standard products, and it is reduced after correction (Fig. 6d and f). Overall, the ML-based correction reduces not only mean bias but also bias sensitivity to key retrieval conditions across sensors.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Inter-satellite harmonization</title>
      <p id="d2e3340">Multi-sensor fusion requires minimizing inter-sensor inconsistencies by defining a common reference scale. Table 4 compares the ML-based bias-corrected products from all three sensors evaluated against TCCON using common collocated samples under LOSOCV, ensuring that the reference selection is based on independent out-of-site performance. GOSAT-2 achieved the highest accuracy (<inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M185" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.67; RMSE <inline-formula><mml:math id="M186" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10.67 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>) and was therefore selected as harmonization reference.</p>

<table-wrap id="T4"><label>Table 4</label><caption><p id="d2e3379">Accuracy comparison of machine learning (ML) based bias-corrected <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from three satellite sensors (TROPOMI, GOSAT, GOSAT-2), evaluated against TCCON using common collocated samples (<inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">309</mml:mn></mml:mrow></mml:math></inline-formula>) under leave-one-site-out cross-validation. Boldface indicates the satellite with the best performance for each error metric.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Metrics</oasis:entry>
         <oasis:entry colname="col2">TROPOMI</oasis:entry>
         <oasis:entry colname="col3">GOSAT</oasis:entry>
         <oasis:entry colname="col4">GOSAT-2</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.60</oasis:entry>
         <oasis:entry colname="col3">0.60</oasis:entry>
         <oasis:entry colname="col4"><bold>0.67</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MAE (<inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">9.49</oasis:entry>
         <oasis:entry colname="col3">9.21</oasis:entry>
         <oasis:entry colname="col4"><bold>8.38</bold></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">RMSE (<inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">11.78</oasis:entry>
         <oasis:entry colname="col3">11.92</oasis:entry>
         <oasis:entry colname="col4"><bold>10.67</bold></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e3515">Inter-satellite harmonization to the ML bias-corrected GOSAT-2 ML BC scale. Distributions of <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> bias relative to the ML-based bias-corrected GOSAT-2 product (<bold>a</bold>: TROPOMI <inline-formula><mml:math id="M194" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> GOSAT-2; <bold>b</bold>: GOSAT <inline-formula><mml:math id="M195" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> GOSAT-2) before and after cross-satellite harmonization. Solid vertical lines denote the mean bias for each distribution, and the legend reports the corresponding mean and standard deviation (SD).</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f07.png"/>

        </fig>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e3558">Retrieval-parameter dependency of harmonized <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> relative to the final target. Scatter density plots show the ratio of the final target (i.e.,ML-based bias-corrected GOSAT-2 XCH<sub>4</sub>) to satellite XCH<sub>4</sub>, as a function of key retrieval parameters using satellite co-location samples. The upper panels show the dependency of TROPOMI <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on SWIR surface albedo, and the lower panels show the dependency of GOSAT <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> on the surface pressure difference, <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>Ps</mml:mtext></mml:mrow></mml:math></inline-formula>. For each sensor, the left panels show the standard products, while the right panels compare the operational bias-corrected products and the ML-based harmonized results.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f08.png"/>

        </fig>

      <p id="d2e3629">To improve cross-sensor consistency, the GOSAT and TROPOMI products were calibrated to the ML-based bias-corrected GOSAT-2 scale (i.e., generating “GOSAT-2-like” <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). Across the evaluated algorithms, XGBoost yielded the best harmonization performance (Table S6). Figure 7 shows distributional shifts before and after harmonization: after harmonization, bias distributions for GOSAT and TROPOMI moved toward near-zero mean bias relative to GOSAT-2 and their spread was reduced. This inter-sensor harmonization further assessed the major retrieval-parameter dependencies identified in the TCCON-based analysis over broader parameter ranges (Fig. 8). After ML-based harmonization, the SWIR surface albedo dependency of TROPOMI and the <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>Ps</mml:mtext></mml:mrow></mml:math></inline-formula> dependency of GOSAT were nearly removed, indicating improved consistency with the ML-based bias-corrected GOSAT-2 scale.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e3655">Independent validation of the Fused <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at three TCCON test stations and comparison with a Blended product (Balasus et al., 2023). <bold>(a)</bold> Scatter plot of Fused <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> versus TCCON <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at three independent sites (Xianghe01, Edwards01, and Garmisch01); colors indicate individual stations. The red line denotes the fitted regression. <bold>(b)</bold> Time series of station-mean <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> averaged across the three test stations (equal-weight mean), comparing TCCON, Fused, and the standard products from GOSAT, GOSAT-2, and TROPOMI. <bold>(c)</bold> Comparison against TCCON for 2022 at the same test stations, contrasting the Fused <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (blue) with the Blended <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product based on TROPOMI and GOSAT (orange). The solid-colored lines denote fitted regressions, respectively.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f09.png"/>

        </fig>

      <p id="d2e3740">After harmonization, TROPOMI exhibited slightly higher agreement with GOSAT-2 (Table S6) than GOSAT and provided approximately 6 times more collocated observations (183 550 for TROPOMI vs. 32 244 for GOSAT). Accordingly, the fusion priority was set to GOSAT-2 <inline-formula><mml:math id="M210" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> TROPOMI <inline-formula><mml:math id="M211" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> GOSAT to balance reference consistency and sampling density and to enhance robustness of the Fused <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product. Finally, we generated a daily 0.1° Fused <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product by integrating the harmonized observations from the three satellites.</p>
      <p id="d2e3779">Figure 9 evaluates the Fused <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product at three independent TCCON sites (xianghe01, edwards01, and garmisch01) and includes a comparison with the Blended TROPOMI <inline-formula><mml:math id="M215" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> GOSAT <inline-formula><mml:math id="M216" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product of Balasus et al. (2023). These sites were excluded from the TCCON-based bias correction in Step 1 to assess generalization under independent conditions. The three stations represent distinct environments: a peri-urban site influenced by strong anthropogenic emissions (Xianghe, China; mean <inline-formula><mml:math id="M217" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1903.16 <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>), an arid high-desert site with high surface albedo (Edwards, USA; mean <inline-formula><mml:math id="M219" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1880.37 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>), and a mountainous site (Garmisch, Germany; mean <inline-formula><mml:math id="M221" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1872.98 <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>). Across all sites, the Fused <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> showed strong agreement with TCCON (<inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M225" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.81, RMSE <inline-formula><mml:math id="M226" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10.78 <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>; Fig. 9a). The time series further indicates that the Fused product reproduces temporal variability, while reducing inter-sensor offsets relative to the individual satellite products (Fig. 9b). For 2022, the Fused product achieved higher accuracy than the Blended <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product at the same locations, (<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M230" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.74, RMSE <inline-formula><mml:math id="M231" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10.38 <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> vs. <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M234" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.67, RMSE <inline-formula><mml:math id="M235" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 11.82 <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>; Fig. 9c), which may reflect the use of a harmonized multi-sensor framework that incorporates the higher-accuracy GOSAT-2 product.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Coverage improvements from multi-satellite fusion</title>
      <p id="d2e3988">The Fused <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product achieved annual global land coverage of 87.1 %, 86.9 %, 86.8 %, and 88.1 % for 2020–2023, corresponding to improvements of 0.45–0.74 percentage points over TROPOMI alone (Fig. S5a). Although global annual averages show modest gains, multi-sensor fusion yields substantial regional enhancements where individual sensors face systematic retrieval limitations.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e4004">Regional assessment of multi-sensor <inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fusion benefits in 2023 across five regions representing distinct retrieval challenges. <bold>(a)</bold> Coverage enhancement relative to TROPOMI showing absolute gain in percentage points (bars, left axis) and relative improvement (line, right axis). <bold>(b)</bold> Annually dominant sensor per pixel based on valid retrieval frequency in 2023 for each ROI (GOSAT: blue, GOSAT-2: orange, TROPOMI: grey, missing data: white). Orange and blue pixels indicate locations where TROPOMI data are unavailable but coverage is provided by GOSAT-2 or GOSAT.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f10.png"/>

        </fig>

      <p id="d2e4030">To quantify fusion benefits under challenging retrieval conditions for TROPOMI, we examined five case-study regions (ROIs; see Fig. 1) in 2023 representing diverse environments and emission regimes: South Asia (ROI-A) and the Amazon Basin (ROI-B) as cloudy tropical regions with aerosol impacts; Eastern Siberia (ROI-C) as high-latitude wetlands with seasonal snow/ice constraints; the Pacific Northwest (ROI-D) as complex coastal terrain; and Central Europe (ROI-E) as Alpine topography (Fig. 10). Compared with TROPOMI, coverage improvements ranged from <inline-formula><mml:math id="M239" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.8 % to <inline-formula><mml:math id="M240" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 9.6 %, with the largest gain in South Asia (Fig. 10a). Source attribution maps illustrate how the GOSAT series spatially complements TROPOMI coverage in 2023 (Fig. 10b): GOSAT-2 provides the majority of additional observations, particularly filling monsoon-related gaps in South Asia and cloudy tropical regions, while GOSAT supplements coverage over Alpine terrain, where complex topography challenges both TROPOMI and GOSAT-2 retrievals.</p>
      <p id="d2e4048">Fusion also improves temporal resilience during periods of single-mission data loss. Missing VIIRS cloud-screening information in July–August 2022 and August 2023 (Borsdorff et al., 2024) led to substantial gaps in TROPOMI <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, which were partially filled by overlapping GOSAT and GOSAT-2 observations (Fig. S5b). This multi-sensor complementarity highlights the importance of global-scale fusion for comprehensive <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> monitoring.</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e4075">Spatiotemporal characteristics and growth of Fused <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> during 2020–2023. <bold>(a)</bold> Monthly latitudinal distribution of Fused <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at 0.1° spatial resolution from 2020 to 2023. <bold>(b)</bold> Comparison of monthly global mean methane time series from the Fused <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product (orange), NOAA marine surface <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements (blue), and TCCON ground-based <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations (green). Values in the legend indicate mean annual growth rates over 2020–2023 with associated uncertainties. <bold>(c)</bold> Monthly hemispheric year-over-year differences (solid lines) and annual mean growth rates (markers) for the Northern Hemisphere (NH; 0–80° N, red), Southern Hemisphere (SH; 0–60° S, blue), and high-emission zone (0–40° N, orange). Error bars represent the standard deviation of monthly growth rates within each year. All trends shown in panels <bold>(b)</bold> and <bold>(c)</bold> were statistically significant (<inline-formula><mml:math id="M248" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M249" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001).</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f11.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Global <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mapping and spatiotemporal analysis</title>
      <p id="d2e4190">The Fused dataset reveals distinct spatiotemporal patterns across 2020–2023. Time–latitude diagrams (Fig. 11a) show a persistent interhemispheric gradient of 30–40 <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> between the Northern Hemisphere (NH) and Southern Hemisphere (SH). Elevated <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is consistently observed in the northern subtropical belt (0–40° N), where mean concentrations increased from 1872.72 <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> to 1906.98 <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> over the study period (<inline-formula><mml:math id="M255" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>34.26 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>), exceeding the global mean increase. While the highest concentrations remained in the north, the Fused product captured a progressive southward expansion in <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increases beginning in 2021, consistent with recent findings (Umezawa et al., 2025).</p>
      <p id="d2e4255">To quantify global growth rates, we compared the monthly global average of the Fused <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dataset with independent observations from TCCON ground-based <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements and NOAA marine surface <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> records (<uri>https://gml.noaa.gov/ccgg/trends_ch4/</uri>, last access: 26 December 2025). Mean annual growth rates were calculated from the monthly time series over 2020–2023, while uncertainties represent the variability of monthly growth rates within each year. The Fused product captures a sustained increase from approximately 1850 <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> in early 2020 to nearly 1900 <inline-formula><mml:math id="M262" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> by late 2023, corresponding to a mean global growth rate of 12.28 <inline-formula><mml:math id="M263" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.00 <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. 11b). This agrees well with TCCON (13.56 <inline-formula><mml:math id="M265" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.25 <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and NOAA (14.77 <inline-formula><mml:math id="M267" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.64 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), supporting the ability of the Fused dataset to represent large-scale atmospheric <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> variability and interannual trends.</p>
      <p id="d2e4395">Interannual growth rates exhibited strong regional variability (Fig. 11c). The NH (0–80° N), SH (60° S–0), and the high-emission zone (0–40° N) all peaked in 2021 at 14.3 <inline-formula><mml:math id="M270" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.2, 15.4 <inline-formula><mml:math id="M271" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.7, and 15.5 <inline-formula><mml:math id="M272" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.1 <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively, consistent with record global <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increases reported for that period (Saunois et al., 2025). Following this peak, growth rates generally declined during 2022–2023, reaching approximately 6.0 <inline-formula><mml:math id="M275" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.8 <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the NH, 11.4 <inline-formula><mml:math id="M277" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.9 <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the SH, and 6.4 <inline-formula><mml:math id="M279" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.0 <inline-formula><mml:math id="M280" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the high-emission zone by 2023, consistent with recent inverse modeling estimates (Pendergrass et al., 2025).</p>

      <fig id="F12" specific-use="star"><label>Figure 12</label><caption><p id="d2e4523">Annual <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomaly maps for <bold>(a)</bold> 2020, <bold>(b)</bold> 2021, <bold>(c)</bold> 2022, and <bold>(d)</bold> 2023 relative to the four-year mean. Parentheses show global mean anomalies (<inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>). Positive (red) and negative (blue) shading indicate regions with <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> above and below the four-year baseline, respectively.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f12.png"/>

        </fig>

      <p id="d2e4575">To highlight emission hotspots relative to the global baseline, we computed annual anomalies by subtracting the 4-year mean (1869.95 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>) from each year's <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field (Fig. 12). By 2023, positive anomalies exceeding <inline-formula><mml:math id="M286" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>60 <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> were apparent over South Asia, East Asia, and Central Africa, with maxima over the Indo-Gangetic Plain and the Ganges–Brahmaputra delta (Fig. 12d). The shift in global mean anomaly from <inline-formula><mml:math id="M288" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.74 <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> (2020) to <inline-formula><mml:math id="M290" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>14.16 <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> (2023) indicates increasing <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> accumulation over the study period.</p>

      <fig id="F13" specific-use="star"><label>Figure 13</label><caption><p id="d2e4656">Regional <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission hotspots and corresponding land-cover characteristics for 2023. The central map displays the global distribution of Fused <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations with six representative high-emission regions marked <bold>(a–f)</bold>. Each regional panel pair shows <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations (left) and MODIS MCD12Q1 land-cover classifications (right) for the Niger Delta <bold>(a)</bold>, Ganges–Brahmaputra Delta <bold>(b)</bold>, Indo–Gangetic Plain <bold>(c)</bold>, Yangtze River Delta <bold>(d)</bold>, Congo Basin <bold>(e)</bold>, and Barnett Shale region <bold>(f)</bold>. Land-cover legend follows the MODIS MCD12Q1 LC_Type1 classification.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f13.jpg"/>

        </fig>

      <p id="d2e4720">To interpret drivers of elevated concentrations, we examined high-anomaly regions in 2023 using MODIS MCD12Q1 land-cover information (Fig. 13). Hotspots showed distinct land-cover signatures: the Niger Delta (Fig. 13a) exhibited strong anomalies over a mix of croplands, evergreen broadleaf forests, coastal wetlands, and urban areas associated with petroleum infrastructure (Olukaejire et al., 2024); the Ganges–Brahmaputra Delta (Fig. 13b) showed the largest anomaly over rice paddies and permanent wetlands; the Indo-Gangetic Plain (Fig. 13c) and Yangtze River Delta (Fig. 13d) displayed persistent enhancements over irrigated croplands and expanding metropolitan areas; the Congo Basin (Fig. 13e) showed elevated concentrations over tropical peatlands and evergreen forests; and the southern United States (Fig. 13f) showed enhancements over the Barnett Shale region in Texas, consistent with documented oil-and-gas emissions (Harriss et al., 2015; Lan et al., 2015). The spatial correspondence between enhanced <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and wetland/cropland/urban land classes demonstrates the Fused product's ability to resolve regional emission patterns.</p>

      <fig id="F14" specific-use="star"><label>Figure 14</label><caption><p id="d2e4736">Seasonal distributions of Fused <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations and latitudinal gradients in 2023. Left panels <bold>(a, c, e, g)</bold> show seasonal mean <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations at 0.1° resolution for March–April–May (MAM), June–July–August (JJA), September–October–November (SON), and December–January–February (DJF). Right panels <bold>(b, d, f, h)</bold> display corresponding zonal mean profiles (solid purple line) with shaded regions representing spatial variability (<inline-formula><mml:math id="M299" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1<inline-formula><mml:math id="M300" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> standard deviation) across each latitude band. Latitudes with data coverage below 2 % were excluded from zonal mean calculations to ensure statistical robustness. Regional definitions and seasonal statistics are detailed in Table S7.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4313/2026/amt-19-4313-2026-f14.png"/>

        </fig>

      <p id="d2e4789">Finally, we examined seasonal patterns of global <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in 2023. To preserve localized <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancements, zonal-mean profiles were calculated at native 0.1° latitude resolution (Fig. 14), and seasonal statistics were summarized for major latitude zones (Table S7). The NH (0–80° N) exhibited the largest seasonal amplitude (32.14 <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>), peaking in winter (DJF; 1915.36 <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>) and reaching a minimum in spring (MAM; 1883.22 <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>). Within the NH, the high-emission zone (0–40° N) remained consistently elevated throughout the year, ranging from approximately 1901 <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> in JJA to approximately 1918 <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> in SON/DJF, with a moderate seasonal amplitude of 16.50 <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>. In contrast, the SH (60° S–0) showed a smaller amplitude (6.77 <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>), varying between 1850.66 <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> in MAM and 1857.43 <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> in JJA. The pronounced NH seasonality reflects strong source variability from wetland and agricultural emissions, whereas the smoother SH cycle is more strongly governed by the OH sink than by local emissions (East et al., 2024).</p>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><title>Limitations</title>
      <p id="d2e4896">While the framework substantially improves retrieval accuracy across sensors, several limitations should be noted. First, the ML-based bias correction relies on TCCON as the primary reference dataset. Although TCCON provides high-precision ground-based <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations, its spatial distribution is limited and does not fully represent the diverse retrieval conditions encountered globally, particularly high-surface-albedo conditions. We partly addressed this limitation through LOSOCV strategy and additional satellite match-up analyses over broader surface albedo ranges, but independent validation under underrepresented retrieval conditions remains necessary. Second, the Fused dataset uses a fixed sensor-priority strategy (GOSAT-2 <inline-formula><mml:math id="M313" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> TROPOMI <inline-formula><mml:math id="M314" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula> GOSAT) based on overall accuracy and sampling density, which may introduce regional bias because local observing conditions can favor a non-prioritized sensor. Third, although the fusion framework improves robustness, global annual coverage gains are modest (0.45–0.74 percentage points over TROPOMI). Fourth, ML-based correction in this study relies primarily on retrieval parameters to model systematic biases; incorporating external environmental covariates (e.g., temperature, humidity, and wind) may further reduce regional biases and improve generalization (Qu et al., 2025). Finally, the 0.1° resolution supports regional-scale analyses but remains insufficient for resolving fine-scale emission sources detectable by emerging high-resolution missions (e.g., EMIT or GHGSat). Future work could address these limitations via adaptive sensor weighting, uncertainty quantification, and integration of additional environmental covariates.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusion</title>
      <p id="d2e4934">This study presents the first global multi-sensor fusion framework that integrates <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> retrievals from GOSAT, GOSAT-2, and TROPOMI. Using a three-step ML strategy – (1) TCCON-calibrated bias correction, (2) inter-sensor harmonization, and (3) fusion – we produced a globally harmonized daily 0.1° land <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dataset for 2020–2023. Independent evaluation at withheld TCCON sites demonstrates strong generalization (<inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M318" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.81, RMSE <inline-formula><mml:math id="M319" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10.78 <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>), outperforming the standard and operationally bias-corrected satellite products.</p>
      <p id="d2e4993">A key outcome is that GOSAT-2 provides an effective anchor for cross-sensor harmonization, offering high agreement with TCCON while maintaining broader sampling than GOSAT. The bias-correction and harmonization analyses also revealed and mitigated sensor-specific residual bias structures, including the SWIR surface albedo dependency in TROPOMI and the <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>Ps</mml:mtext></mml:mrow></mml:math></inline-formula> dependency in GOSAT. These results indicate that the proposed framework not only improves the final Fused product but also provides diagnostic insight into retrieval-condition-dependent limitations of the individual satellite products.</p>
      <p id="d2e5006">Regional assessments show that fusion improves data availability in retrieval-limited environments, increasing coverage by <inline-formula><mml:math id="M322" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.8 % to <inline-formula><mml:math id="M323" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 9.6 % depending on the region compared to the TROPOMI operational product. Although the overall global coverage gain is modest, the Fused product provides complementary <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> information in regions or conditions where TROPOMI retrievals are limited.</p>
      <p id="d2e5034">The Fused product reproduces key spatiotemporal characteristics of atmospheric <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, including interannual hemispheric variability and persistent emission hotspots in tropical and subtropical regions associated with wetlands, agriculture, and fossil-fuel infrastructure. The dataset can support downstream applications such as <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> gap filling, multi-sensor intercomparison and harmonization, regional methane assessment, hotspot identification, and the development of advanced fusion strategies. The sensor-specific corrected and harmonized products can also serve as reference-scale benchmarks for future <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> bias-correction studies. The proposed framework is extensible to upcoming missions (GOSAT-GW, CO2M), enabling enhanced monitoring. Continued advances in multi-sensor harmonization and uncertainty characterization will be crucial for supporting progress toward the GMP target of a 30 % <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission reduction by 2030.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e5085">The publicly available dataset includes the daily globally harmonized Fused <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">XCH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> product at 0.1° spatial resolution for 2020–2023, individual harmonized gridded products used in the fusion process (TCCON bias-corrected GOSAT-2, GOSAT-2-like harmonized TROPOMI, and GOSAT-2-like harmonized GOSAT), and source sensor identifiers indicating which satellite contributed each valid observation in the Gused product. All products are provided in HDF5 format and are available on Zenodo at <ext-link xlink:href="https://doi.org/10.5281/zenodo.20304047" ext-link-type="DOI">10.5281/zenodo.20304047</ext-link> (Keya et al., 2026). The fusion pipeline and example usage code are available at <uri>https://github.com/jnkeya/Fused_XCH4</uri> (last access: 22 June 2026). All input datasets used in this study are publicly available as described in Sect. 2.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e5105">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-19-4313-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-19-4313-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5114">J.K.: Writing – original draft, Visualization, Validation, Methodology, Investigation, Formal analysis, Conceptualization. Y.K.: Writing – original draft, Visualization, Validation, Methodology, Investigation, Formal analysis, Conceptualization. H.C.: Writing – review and editing. J.I.: Writing – review and editing, Supervision, Methodology, Funding acquisition, Conceptualization.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5120">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="d2e5126">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="d2e5132">The authors gratefully acknowledge the financial support of the Korea Ministry of Environment (MOE) and the Ministry of Education.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5137">This work was supported by Korea Environment Industry &amp; Technology Institute (KEITI) through Project for developing an observation-based GHG emissions geospatial information map, funded by Korea Ministry of Environment (MOE) (RS-2023-00232066). Yejin Kim was partially supported by Basic Science Research Program through the National Research Foundation of Korea (NRF), funded by the Ministry of Education (RS-2024-00408905).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5143">This paper was edited by Andre Butz and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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