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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</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/acp-26-7789-2026</article-id><title-group><article-title>Quantifying meteorological impacts on local landfill methane emissions by using field measurements  and machine learning</article-title><alt-title>Quantifying meteorological impacts on local landfill methane emissions</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kim</surname><given-names>Donghee</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Jeong</surname><given-names>Sujong</given-names></name>
          <email>sujong@snu.ac.kr</email>
        <ext-link>https://orcid.org/0000-0003-4586-4534</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Chang</surname><given-names>Dong Yeong</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2614-0397</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Joo</surname><given-names>Jaewon</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Environmental Management, Graduate School of Environmental Studies, Seoul National University, Seoul, Republic of Korea</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Sujong Jeong (sujong@snu.ac.kr)</corresp></author-notes><pub-date><day>2</day><month>June</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>11</issue>
      <fpage>7789</fpage><lpage>7802</lpage>
      <history>
        <date date-type="received"><day>13</day><month>July</month><year>2025</year></date>
           <date date-type="rev-request"><day>15</day><month>September</month><year>2025</year></date>
           <date date-type="rev-recd"><day>19</day><month>January</month><year>2026</year></date>
           <date date-type="accepted"><day>20</day><month>January</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Donghee Kim 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://acp.copernicus.org/articles/26/7789/2026/acp-26-7789-2026.html">This article is available from https://acp.copernicus.org/articles/26/7789/2026/acp-26-7789-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/7789/2026/acp-26-7789-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/7789/2026/acp-26-7789-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e109">Landfills are a major anthropogenic source of methane (CH<sub>4</sub>), contributing up to 20 % of global CH<sub>4</sub> emissions. Although CH<sub>4</sub> emissions from landfills are highly sensitive to meteorological conditions, their response to climate variations remains not fully understood, leading to substantial uncertainty in emission projections under climate change. This study evaluated the impact of meteorological factors on landfill CH<sub>4</sub> generation, using a site-specific machine-learning-based model optimized for temperature and precipitation. The model optimized for meteorological conditions performed better than conventional models such as LandGEM and the IPCC model, with a root mean squared error (RMSE) of 6.57 million m<sup>3</sup> CH<sub>4</sub>, a mean absolute error (MAE) of 4.91 million m<sup>3</sup> CH<sub>4</sub>, and Pearson correlation coefficients of 0.89, when compared with field measurements. Sensitivity analysis and OLS regression showed that simulated CH<sub>4</sub> generation had strong positive association with temperature (0.8–1.0 % per 1 °C, <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>), while precipitation exhibited inverted-U response, peaking at intermediate levels (9–10 mm d<sup>−1</sup>, <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>). Quantification of the contributions of the meteorological variables, revealed that temperature accounted for 5.96 <inline-formula><mml:math id="M13" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.06 %, and precipitation for 7.38 <inline-formula><mml:math id="M14" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.58 % of the total modeled CH<sub>4</sub> generation. These results highlight the high importance of incorporating meteorological variability into landfill CH<sub>4</sub> estimation to improve predictive accuracy, and emphasize the need for stronger and faster CH<sub>4</sub> mitigation efforts under climate change.</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>
<award-group id="gs2">
<funding-source>Ministry of Trade, Industry and Energy</funding-source>
<award-id>2410000450</award-id>
<award-id>RS-2023-00267529</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="d2e281">Methane (CH<sub>4</sub>) is a major greenhouse gas (GHG) emitted into the atmosphere from various natural and anthropogenic sources  (Saunois et al., 2025). CH<sub>4</sub> has a high global warming potential (GWP), 28 times greater than that of carbon dioxide (CO<sub>2</sub>) over a 100-year period (Myhre et al., 2013). It accounts for approximately 16 % of anthropogenic GHG emissions  (US-EPA, 2012), and has contributed to approximately 30 % to global warming since the Industrial Revolution (IEA, 2022; Masson-Delmotte et al., 2021). Owing to its relatively short atmospheric lifetime (approximately 9–12 years) (Prather et al., 2012; Solomon et al., 2007). and strong GWP, reducing anthropogenic CH<sub>4</sub> emissions is one of the most effective strategies for mitigating climate change  (Montzka et al., 2011). Consequently, the number of countries participating in the Global Methane Pledge has increased from about 100 to 159, with all committing to a 30 % reduction in CH<sub>4</sub> emissions from 2020 levels by 2030   (European Commission and United States of America, 2021). To achieve this goal, it is essential that a considerable number of countries accurately monitor, estimate and verify their CH<sub>4</sub> emissions.</p>
      <p id="d2e339">Approximately 60 % of global CH<sub>4</sub> emissions originate from anthropogenic sources, including natural gas facilities, agriculture and waste management  (Saunois et al., 2025). Of these, landfills represent a significant source, accounting for approximately 19 % of anthropogenic CH<sub>4</sub> emissions, making them the third-largest source after agriculture and the fossil fuel sector  (Saunois et al., 2025). Moreover, rapid population growth, industrialization, and urbanization have led to the accumulation of large amounts of waste in landfills, and the contribution is even greater at the urban scale  (Kumar et al., 2016). For example, in certain megacities, including Buenos Aires and Seoul, the contribution of landfills to total CH<sub>4</sub> emissions is up to 50 % (Maasakkers et al., 2022; SCNSC, 2024), which is as high as the CH<sub>4</sub> emissions from the oil and gas industry  (Wang et al., 2024). Furthermore, it has been estimated that future CH<sub>4</sub> emissions from landfills in urban areas will increase considerably due to ongoing waste generation, rapid urbanization, and population growth (Kaza et al., 2018).</p>
      <p id="d2e387">Landfill gas (LFG) is generated via the anaerobic decomposition of organic waste by microorganisms (Kim and Townsend, 2012; Themelis and Ulloa, 2007). The produced LFG typically contains 40 %–60 % CH<sub>4</sub>, which is used as an energy source or burned in flares  (Tchobanoglous et al., 1993; Themelis and Ulloa, 2007). However, some gases escape into the atmosphere through soil pores, contributing to CH<sub>4</sub> emissions (Fjelsted et al., 2020). Owing to the low efficiency of LFG collection systems, as well as inadequate landfill site management, an estimated 12.4 % to 74.1 % of CH<sub>4</sub> emissions can be released into the atmosphere (Bian et al., 2021). Even after landfill closure, the decomposition process continues until the major organic materials are completely degraded (Mønster et al., 2019). Therefore, an accurate estimation of LFG generation, collection efficiency, and fugitive CH<sub>4</sub> emissions is required for effective landfill management and GHG regulation  (Amini et al., 2013).</p>
      <p id="d2e426">Various measurement methods have been used to quantify landfill CH<sub>4</sub> emissions, including the flux chamber method (Jeong et al., 2019; Reinhart et al., 1992; Yilmaz et al., 2021), differential absorption light detection and ranging (LiDAR/DIAL)     (Innocenti et al., 2017; Robinson et al., 2011), unmanned aerial vehicles (UAVs/drones) (Daug<inline-formula><mml:math id="M34" display="inline"><mml:mover accent="true"><mml:mi mathvariant="normal">e</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula>la et al., 2020; Kim et al., 2021), airborne  (Cusworth et al., 2024) and satellite technologies (Maasakkers et al., 2022; Nesser et al., 2024). These methods have been shown to directly measure CH<sub>4</sub> emissions from landfills, thereby providing more accurate estimates through measurement-based quantification  (Mønster et al., 2019). Recent studies have demonstrated significant improvements in the quantification of CH<sub>4</sub> emissions by using observation-based methods (Fosco et al., 2024; Tyagi et al., 2025). For example, satellite observations have identified substantial CH<sub>4</sub> emission hotspots at major landfill sites worldwide, contributing to more comprehensive emission assessments  (Maasakkers et al., 2022). Furthermore, the use of multiple field measurement techniques has proven beneficial, as each method complements another  (Cambaliza et al., 2017). However, accessibility limitations, labor requirements, and financial constraints make the continuous monitoring of landfill measurements difficult (Kormi et al., 2018; Mønster et al., 2019).</p>
      <p id="d2e476">To address this measurement difficulty, numerous studies have been conducted on numerical models for estimating CH<sub>4</sub> generation. First-order decay (FOD) models have been developed to estimate LFG and CH<sub>4</sub> generated in landfills. These models assume that the degradable organic matter in waste decays at a relatively slow rate over several decades. Because of their easy applicability and user-friendliness, FOD models, including the Intergovernmental Panel on Climate Change (IPCC) Waste Model, Landfill Gas Emission Model (LandGEM), and Capturing Landfill Emissions for Energy Needs (CLEEN) models, are the most widely adopted approaches  (Vu et al., 2017). The IPCC guidelines proposed an IPCC waste model, which is based on the FOD, to support countries in estimating landfill CH<sub>4</sub> emissions. The model's individual values for the CH<sub>4</sub> generation potential and CH<sub>4</sub> generation rate constants are derived from the degradable organic carbon (DOC) contained in various waste fractions  (Eggleston et al., 2006). The LandGEM model was developed by the United States Environmental Protection Agency (US EPA) for the estimation of landfill emissions and is typically applied using information on the amount and composition of municipal solid waste (MSW), as well as its treatment methods. LandGEM provides an estimate of the evolution of cumulative LFG emissions over time    (Alexander et al., 2005). Meanwhile, the CLEEN model is an experiment-based model that estimates CH<sub>4</sub> generation as a function of waste composition, the ambient temperature, and landfill precipitation in the landfill. Based on microbial degradation reactions observed in municipal solid waste experiments, the CLEEN model proposes an equation that links the rate of waste decomposition in landfills to meteorological conditions (Karanjekar et al., 2015).</p>
      <p id="d2e534">Although previous models have been useful for estimating landfill CH<sub>4</sub> emissions, they are insufficient for predicting future emissions under changing climate conditions. Landfill CH<sub>4</sub> generation is driven by the anaerobic microbial degradation, and meteorological conditions strongly influence the extent and rate of these biological processes. (Bai et al., 2025; Scheutz et al., 2009; Sacramento et al., 2024). In regions with pronounced seasonality, such as Korea, microbial decomposition rates vary substantially with seasonal changes in temperature and moisture (Kang et al., 2024; Park  and Shin, 2001). In the FOD models, the CH<sub>4</sub> generation rate constants (<inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> represents the biodegradation rate of organic matter in landfills (Purmessur and Surroop, 2019), however the IPCC and LandGEM models remain too simplified to consider climate impacts, using default <inline-formula><mml:math id="M48" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values based on climate zones     (Alexander et al., 2005; Eggleston et al., 2006). As climate change is expected to intensify landfill CH<sub>4</sub> emissions, accurately representing and quantifying the impacts of meteorological drivers on CH<sub>4</sub> generation is becoming increasingly important  (Fei et al., 2021). By contrast, the CLEEN model, which explicitly incorporates temperature and precipitation, appears to reproduce field-based emissions well. However, further calibration and optimization of these parameters are required before the model can be applied to other regions (Karanjekar et al., 2015).</p>
      <p id="d2e600">In this study, we aim to assess the impacts of meteorological conditions on landfill CH<sub>4</sub> generation and to evaluate their implications for future climate change. Existing models simplify the application of meteorological factors, thereby limiting their ability to fully reflect actual landfill emission dynamics. To address this limitation, we propose a machine-learning-based methodology that optimizes an effective emission factor using field measurement data from the Sudokwon Landfill Site, one of the largest landfills in the world. The optimized model is then applied to quantify the effects of meteorological conditions on landfill CH<sub>4</sub> emissions, identify site-specific features and suggest mitigation strategies.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methodology and Data</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Site description</title>
      <p id="d2e636">The study area was the SLS, the largest sanitary landfill located on the west coast of Incheon, Korea (Fig. 1). It is in a temperate climate zone with an average annual temperature and precipitation of 12.5 °C (<inline-formula><mml:math id="M53" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>18.2  to 37.2 °C) and 1219.7 mm (652 to 1777.7 mm), respectively, during 1991–2023. From February 1992, SLS received about 20 000 t of solid waste daily generated by 5.3 million people in the Seoul metropolitan area, representing the largest amount globally (Owlcation, 2024). The SLS contains two separate closed landfill sites. The Table 1 provides an overview of these two sites. The first landfill site (SLS 1) received approximately 64.25 Mt of waste in an area of 2.5 km<sup>2</sup> between February 1992 and October 2000, while the second landfill site (SLS 2) received 80.18 Mt of waste in an area of 2.6 km<sup>2</sup> from October 2000 to October 2018.</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e666">The Sudokwon landfill site description. The background map is sourced from Basemap in QGIS: Google Satellite; Imagery © 2025 Google, Map data © 2025 Google.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/7789/2026/acp-26-7789-2026-f01.jpg"/>

        </fig>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e678">Landfill operational conditions.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="6cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="6.2cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2" align="left">SLS 1</oasis:entry>
         <oasis:entry colname="col3" align="left">SLS 2</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Operation Period</oasis:entry>
         <oasis:entry colname="col2" align="left">February 1992–October 2000</oasis:entry>
         <oasis:entry colname="col3" align="left">October 2000–October 2018</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Landfilled area/Site area (m<sup>2</sup>)</oasis:entry>
         <oasis:entry colname="col2" align="left">2 500 000/4 088 832</oasis:entry>
         <oasis:entry colname="col3" align="left">2 620 000/3 778 881</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Total waste (t)</oasis:entry>
         <oasis:entry colname="col2" align="left">64 250 000</oasis:entry>
         <oasis:entry colname="col3" align="left">80 180 000</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Average waste intake (t d<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col2" align="left">19 560</oasis:entry>
         <oasis:entry colname="col3" align="left">11 540</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Type of waste</oasis:entry>
         <oasis:entry colname="col2" align="left">Combustible (91.3 %); food (34.1 %), paper (27 %), plastics (18.7 %), textile (4.7 %), yard (1.4 %) and Others (5.4 %)</oasis:entry>
         <oasis:entry colname="col3" align="left">Combustible (93 %); food (11.8 %), paper (41.4 %), plastics (26.6 %), textile (5 %), yard (1.2 %) and Others (7 %)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Data</title>
      <p id="d2e802">Data on the amount of waste deposited monthly from 1998 to 2021 were acquired from the Sudokwon Landfill Site Management Corporation (SLC) platform (<uri>https://dream-ics.slc.or.kr/</uri>, last access: 1 July 2025). According to a long-term monitoring reports, the yearly composition of waste was examined and collected for the period from 1998 to 2021 (SLC, 2024). The typical MSW composition, along with the mean values, in SLS 1 was: food (34.1 <inline-formula><mml:math id="M58" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.8 %), paper (27 <inline-formula><mml:math id="M59" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.4 %), plastic (18.7 <inline-formula><mml:math id="M60" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3 %), textile (4.7 <inline-formula><mml:math id="M61" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 %), and wood (1.4 <inline-formula><mml:math id="M62" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 %), while the composition in SLS 2 was: food (14.5 <inline-formula><mml:math id="M63" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.8 %), paper (40.2 <inline-formula><mml:math id="M64" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7 %), plastic (26.1 <inline-formula><mml:math id="M65" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.7 %), textile (5.0 <inline-formula><mml:math id="M66" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1 %), and wood (1.2 <inline-formula><mml:math id="M67" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 %).</p>
      <p id="d2e879">The Biochemical Methane Potential (BMP) values were used to ascertain the CH<sub>4</sub> generation potential (L<sub>0</sub>) of the SLS. The BMP assay is a widely used method for predicting the CH<sub>4</sub> generation rate and potential of MSW  (Sil et al., 2014). SLS 1 had 40.2 m<sup>3</sup> CH<sub>4</sub> Mg<sup>−1</sup>, median value of 33.7–46.7 m<sup>3</sup> CH<sub>4</sub> Mg<sup>−1</sup>  (Park et al., 2019), while SLS 2 had 47.5 m<sup>3</sup> CH<sub>4</sub> Mg<sup>−1</sup>, with a median value of 37–58 m<sup>3</sup> CH<sub>4</sub> Mg<sup>−1</sup>  (Jeon et al., 2007).</p>
      <p id="d2e1031">The field measurement data for CH<sub>4</sub> generation were provided by the SLC (SLC, 2020; SLC, 2022). Observations were conducted on a seasonal basis from 2005 to 2021, along the major LFG emission path: gas recovery, gas flaring, and surface emissions (Figs. S1 and S2 in the Supplement). The SLS operates an electricity generation plant that captures LFG with a 50 MW steam turbine, with an average daily collection rate of 501.5 m<sup>3</sup> min<sup>−1</sup>. Some of the gas that was not injected into the power generation process was transported to a centralized combustion facility for flaring. The gas incinerator at SLS 1 has not been operational since its final decommissioning in 2004, and SLS 2 was operated for a short period between 2004 and 2007, after which it was restarted in 2011. The landfill surface emissions were quantified using the flux chamber method, which offers the advantages of accuracy, simplicity, and flexibility compared to other measurement techniques  (Reinhart et al., 1992). The measurements were conducted using the open-flux chamber method, with 39 measurement points at SLS 1 and 130 measurement points at SLS 2. Quantification of oxidized CH<sub>4</sub> is challenging because it was estimated based on stable carbon isotope ratios. Therefore, this model used the fraction of CH<sub>4</sub> oxidized at 10 %, which is the value recommended by the IPCC guidelines  (Eggleston et al., 2006).</p>
      <p id="d2e1082">Meteorological data were obtained from the Korea Meteorological Administration (<uri>https://data.kma.go.kr/</uri>, last access: 1 July 2025). To align the temporal resolution of the weather data with the field measurement period, the monthly temperature and precipitation values were aggregated into three-month seasonal periods. Specifically, December–February was defined as winter, March–May as spring, June–August as summer, and September–November as autumn. For each season, the average temperature and precipitation across the three months were used as representative seasonal values. This seasonal aggregation allowed for a consistent comparison with the CH<sub>4</sub> emission measurements, which were available on a seasonal basis</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Method used to estimate CH<sub>4</sub> generation</title>
      <p id="d2e1115">The proposed landfill CH<sub>4</sub> generation estimation model, CLEEN<sub>opt</sub>, is a locally optimized model that reflects local landfill environments. The model is based on the FOD equation, which has two critical factors: <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M93" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>. <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> depends on the composition and degradable organic content of the waste, while <inline-formula><mml:math id="M95" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> depends on the waste composition, waste particle size, temperature, moisture, and pH (Amini et al., 2012; Machado et al., 2009). The CLEEN<sub>opt</sub> model calibrates the laboratory-based <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to reflect individual landfill characteristics, including field measurements and meteorological data. The flowchart in Fig. 2 describes the main steps used to implement the improved method for calculating landfill emissions.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e1195">The CLEEN<sub>opt</sub> model flow chart.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/7789/2026/acp-26-7789-2026-f02.png"/>

        </fig>

<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Estimating laboratory-based <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e1231">The CLEEN model is a FOD–based model that estimates CH<sub>4</sub> generation by using the waste amount, waste composition, ambient temperature, and annual rainfall (Karanjekar et al., 2015). According to a statistical experimental design, the model proposed a multiple linear regression equation relating temperature, precipitation, and waste composition to microbial waste decomposition, as shown in Eq. (1).

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M101" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">Log</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>a</mml:mi><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi>c</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>R</mml:mi><mml:mo>×</mml:mo><mml:mi mathvariant="normal">FD</mml:mi></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:mi>d</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mi>e</mml:mi><mml:mi mathvariant="normal">FD</mml:mi><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mi mathvariant="normal">TX</mml:mi><mml:mo>+</mml:mo><mml:mi>g</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the laboratory-scale FOD constant (yr<sup>−1</sup>), <inline-formula><mml:math id="M104" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the average annual rainfall (mm d<sup>−1</sup>), <inline-formula><mml:math id="M106" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is the ambient temperature (K), TX is the proportion of textiles in the landfilled waste (%), <inline-formula><mml:math id="M107" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula> is the proportion of yards in the landfilled waste (%), and FD is the proportion of food in the landfilled waste (%). The value of <inline-formula><mml:math id="M108" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> is <inline-formula><mml:math id="M109" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.02658, <inline-formula><mml:math id="M110" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> is <inline-formula><mml:math id="M111" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0067282, <inline-formula><mml:math id="M112" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> is 0.00172807, <inline-formula><mml:math id="M113" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula> is 0.01046, <inline-formula><mml:math id="M114" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula> is <inline-formula><mml:math id="M115" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.01152, <inline-formula><mml:math id="M116" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> is 0.00418, and <inline-formula><mml:math id="M117" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> is 0.00598.</p>
      <p id="d2e1448">To reflect the relationship between climatic conditions and microbial decomposition, the CLEEN<sub>opt</sub> model uses the laboratory-based <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. However, the values obtained under idealized laboratory conditions are generally higher than those in actual landfill sites  (Barlaz, 2006; Ress et al., 1998). The CLEEN model presents a correction factor (<inline-formula><mml:math id="M120" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>) to calibrate <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to the field <inline-formula><mml:math id="M122" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values based on the annual temperature and precipitation. However, the field measurement data have been used at selected landfills in the United States and Israel, and its applicability to landfills in other regions is limited. Therefore, we propose the CLEEN<sub>opt</sub> model, which can be calibrated using landfill-specific field measurements. </p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Estimating field-based <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">actual</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e1527">The CLEEN<sub>opt</sub> model calibrates <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">adj</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, using landfill field measurements. CH<sub>4</sub> generation was calculated as the sum of the recovered CH<sub>4</sub> and CH<sub>4</sub> surface emissions, as shown in Eq. (2) (Eggleston et al., 2006)

              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M131" display="block"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">CH</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>generated</mml:mtext><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">CH</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>recovered</mml:mtext><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">CH</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>emitted</mml:mtext></mml:mrow><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">CH</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mtext>oxidized</mml:mtext></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

            The amount of CH<sub>4</sub> recovered was determined based on flow rate and CH<sub>4</sub> concentration data obtained from an LFG recovery system. Sanitary landfills are typically equipped with vertical or horizontal wells that collect LFG, which is used as fuel to generate electricity or combusted and released as CO<sub>2</sub>. Uncaptured CH<sub>4</sub> gas is oxidized to CO<sub>2</sub> by soil microorganisms or emitted directly into the atmosphere through cracks and pores on the landfill surface. These pathways are referred to as CH<sub>4</sub> oxidation and CH<sub>4</sub> emission, respectively. Landfill surface emissions can be measured using various techniques, including remote methods (e.g., dynamic tracer gas dispersion, differential absorption Lidar [DiAL], and radial plume mapping) and surface-based methods such as flux chambers (Babilotte et al., 2010; Fjelsted et al., 2020; Mønster et al., 2019; US-EPA, 2006). In this study, CH<sub>4</sub> surface emissions were quantified using the flux chamber method because of its high spatial resolution, which is suitable for site–scale monitoring.</p>
      <p id="d2e1718">To estimate actual CH<sub>4</sub> generation, we applied inverse modeling to derive <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">actual</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: by reversing the predictive process of the FOD equation (Eq. 3).

              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M142" display="block"><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">actual</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">actual</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>ln⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">CH</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">actual</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the FOD constant that best fits the observed data, <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the CH<sub>4</sub> generation estimated from field measurements, <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the amount of waste disposed of, and <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the methane generation potential. However, <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">actual</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can only be determined when field measurement data are available. For periods without field measurements, we introduced a scale-up factor, <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">RF</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which calibrates the relationship between <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">actual</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, accounting for laboratory-based microbial degradation and landfill environmental conditions.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Improvement of factor <inline-formula><mml:math id="M152" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula></title>
      <p id="d2e1910">We selected the random forest RF regression model to estimate the scale-up factors, <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">RF</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. RF provides high accuracy and strong generalization, as it does not assume linearity between the predictor and response variables and it is insensitive to outliers. Additionally, RF is a non-parametric model, that is, it does not estimate distributions based on parameters, allowing it to capture complex associations between parameters and observations (Breiman, 2001). Therefore, RF is used in the CLEEN<sub>opt</sub> model to achieve a good performance across various applications.</p>
      <p id="d2e1933">The establishment of a variable was based on the factors related to the landfill organic–degradation environment. The dependent variable, <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">RF</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, indicates the calibrated laboratory–based <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, used to reflect the field characteristics. The explanatory variables consisted of factors directly related to the landfill field environment. <italic>Precipitation</italic> and <italic>temperature</italic> represent the landfill meteorological conditions that affects microbial degradation. <italic>Waste amount</italic> is the amount of waste disposed of that entered the landfill over time. <italic>Lifespan</italic> is the time elapsed from the start of landfilling to the time of the estimation, reflecting the time required for landfilled waste to decompose. <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the CH<sub>4</sub> generation potential, which represents the amount of organic matter that can be decomposed per landfill.</p>
      <p id="d2e1991">The <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">RF</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> derived from the trained RF model was applied in Eq. (4) to calculate <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">adj</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> which reflects the specific landfill environment, as follows:

              <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M161" display="block"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">adj</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">RF</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">RF</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the scale-up factor and <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was calculated using Eq. (1). <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be used to calculate an optimized <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">adj</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which reflects the field conditions of the landfill.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS4">
  <label>2.3.4</label><title>Estimation of CH<sub>4</sub> generation</title>
      <p id="d2e2104">The FOD equation used to estimate the CH<sub>4</sub> generation in the CLEEN<sub>opt</sub> model is as follows:

              <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M169" display="block"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">CH</mml:mi></mml:mrow><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow><mml:mi>a</mml:mi></mml:munderover><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">adj</mml:mi></mml:msub><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mi>a</mml:mi></mml:mfrac></mml:mstyle><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">adj</mml:mi></mml:msub><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the amount of CH<sub>4</sub> generated (m<sup>3</sup> yr<sup>−1</sup>), <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the mass of MSW landfilled in year <inline-formula><mml:math id="M175" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> within the landfill (Mg), <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">adj</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the calibrated FOD constant (yr<sup>−1</sup>), <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the potential CH<sub>4</sub> generation per waste (m<sup>3</sup> Mg<sup>−1</sup>), <inline-formula><mml:math id="M182" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is the total number of landfilling years, <inline-formula><mml:math id="M183" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> is <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:math></inline-formula>th of the waste deposited in the year, <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the age of the <inline-formula><mml:math id="M186" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>th section of waste mass <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the <inline-formula><mml:math id="M188" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> year.</p>
      <p id="d2e2402">To estimate CH<sub>4</sub> generation according to the resolution of the field data, we propose dividing a year into <inline-formula><mml:math id="M190" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> month and applying the formula. For example, monthly data can be calculated by applying 12 to <inline-formula><mml:math id="M191" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>. Unlike the existing CLEEN model, this method uses the value calibrated to the landfill by applying <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">adj</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by Eq. (4).</p>
      <p id="d2e2439"><inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is one of the main factors in the FOD and is defined as the amount of CH<sub>4</sub> that can be produced per unit mass of waste under ideal conditions for CH<sub>4</sub> formation  (Krause et al., 2016). It can be estimated in various ways, using formulas such as those in the stoichiometric method, the IPCC method, or experiments such as the BMP test (Eggleston et al., 2006; Symons and Buswell, 1933).</p>
</sec>
<sec id="Ch1.S2.SS3.SSS5">
  <label>2.3.5</label><title>Monte Carlo uncertainty</title>
      <p id="d2e2478">In this study, the Monte Carlo Simulation method was used to evaluate the model uncertainty of the output values for each year. The Monte Carlo method is a sampling-based approach that uses random samples of input parameters to simulate the probabilities of random variables (Herrador and Gonzalez, 2004; Kalos and Whitlock, 2008; Papadopoulos and Yeung, 2001). The probability distribution function of the model uncertainty was obtained from randomly sampled input variables within a range of possible values. The detailed input variables (<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and their distributions are summarized in Table S1 in the Supplement. A random experiment was repeated according to the selected number of trials (<inline-formula><mml:math id="M197" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>), and the output of the corresponding function (<inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mi>M</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) was determined using the estimation model. To obtain a sufficiently precise sampling distribution, 1000 random samples were utilized. The calculation for uncertainty is shown in Eqs. (S1) and  (S2) in the Supplement. In addition, to obtain a conservative coverage probability for <inline-formula><mml:math id="M199" display="inline"><mml:mi>Y</mml:mi></mml:math></inline-formula>, which has a discrete distribution, a 95 % confidence interval was chosen (Fig. S3).</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Model evaluation</title>
      <p id="d2e2526">To evaluate the model performance, we compared the simulated seasonal landfill CH<sub>4</sub> generation with field measurements. Because seasonal chamber-based CH<sub>4</sub> surface emission data were only available for the period from 2005 to 2021, the model outputs were assessed over this same period. Three performance metrics were used: the root mean square error (RMSE), mean absolute error (MAE), and Pearson correlation coefficients (<inline-formula><mml:math id="M202" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>). Low RMSE and MAE values indicate better predictive accuracy achieved by capturing underlying emission patterns, while a high Pearson's <inline-formula><mml:math id="M203" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> reflects a stronger correlation between the model predictions and observations. In addition, for comparison with conventional models such as the CLEEN, IPCC, and LandGEM models, which estimate annual CH<sub>4</sub> emissions, we aggregated the seasonal outputs to annual scales. This allowed for a direct comparison between the field measurements and existing model estimates.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Quantifying the impact of meteorological conditions</title>
      <p id="d2e2579">To assess the individual and synergistic effects of temperature and precipitation on CH<sub>4</sub> generation in landfills, we designed four input scenarios, while all other model conditions were kept constant: (a) using observed temperature and precipitation, (b) using a fixed mean temperature (12.5 °C) and observed precipitation, (c) using observed temperature and a fixed mean precipitation (3.2 mm d<sup>−1</sup>), and (d) using both fixed mean temperature and precipitation. The influence of each variable was quantified based on the absolute difference in the predicted CH<sub>4</sub> generation between the baseline scenario (a) and each counterfactual scenario (b–d). The mean absolute difference was then normalized according to the total predicted generation under the baseline and expressed as a percentage, representing the relative absolute contribution of the given variable to CH<sub>4</sub> generation.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Optimization of model parameters</title>
      <p id="d2e2637">The RF model was developed using landfill field measurement data from the SLS, with the training dataset including seasonal precipitation, temperature, lifespan, waste amount, and <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from 2005 to 2021. A total of 128 data points was used, with 80 % allocated for training and the remainder allocated for 10-fold cross-validation. The hyperparameters were optimized using a grid search. The model demonstrated an <inline-formula><mml:math id="M210" 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> value of 0.86 when evaluated against the <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">RF</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and landfill conditions. The significance of each feature indicates the statistical importance of each parameter in the dataset and its impact on the model performance. Among the variables, L<sub>0</sub>, precipitation, and temperature were identified as the statistically significant and key predictors, indicating their substantial influence on CH<sub>4</sub> generation. The results demonstrated that CH<sub>4</sub> generation in landfills was primarily determined by waste composition and environmental factors, particularly precipitation and temperature, which affect the waste decomposition process  (Krause et al., 2016; Warith and Sharma, 1998).</p>
      <p id="d2e2701">The estimated <inline-formula><mml:math id="M215" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values for each model were compared with those of <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">actual</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, as summarized in Table 2. The laboratory-based <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, calculated using Eq. (1), was adjusted to <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">adj</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> using the field refinement factor (<inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">RF</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). For comparison, Table 2 also provides the <inline-formula><mml:math id="M220" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values used in the LandGEM and IPCC models with country-specific emission factors for South Korea. Among all models, <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> exhibited by far the largest discrepancy from <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">actual</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with errors ranging from 2585 % to 7269 %. This overestimation arises because <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is derived under idealized laboratory conditions, which do not fully represent the heterogeneous and often less favorable conditions in actual landfills. Regarding this, Karanjekar et al. (2015) emphasized that laboratory-derived <inline-formula><mml:math id="M224" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values must be calibrated against field data before applied to real landfill systems. The optimized <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">adj</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> provided the closest approximation to the <inline-formula><mml:math id="M226" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> value derived from the actual field data, with an average error of 25 %. However, the <inline-formula><mml:math id="M227" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values for the IPCC and LandGEM models deviated from <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">actual</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> by 84 % and 112 % on average, respectively. These results showed that the substantial overestimation of the laboratory-based <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be effectively addressed by the <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">adj</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e2865">Comparison of actual and modeled <inline-formula><mml:math id="M231" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Landfill</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col6" align="center"><inline-formula><mml:math id="M232" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values (yr<sup>−1</sup>) (% difference from <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">actual</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">actual</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">lab</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">adj</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">LandGEM</oasis:entry>
         <oasis:entry colname="col6">IPCC</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">SLS 1</oasis:entry>
         <oasis:entry colname="col2">0.034 <inline-formula><mml:math id="M238" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>
         <oasis:entry colname="col3">0.913 <inline-formula><mml:math id="M239" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.539 (<inline-formula><mml:math id="M240" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula> 2585 %)</oasis:entry>
         <oasis:entry colname="col4">0.036 <inline-formula><mml:math id="M241" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.003 (<inline-formula><mml:math id="M242" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula> 6 %)</oasis:entry>
         <oasis:entry colname="col5">0.04 (<inline-formula><mml:math id="M243" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula> 17 %)</oasis:entry>
         <oasis:entry colname="col6">0.046 <inline-formula><mml:math id="M244" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05 (<inline-formula><mml:math id="M245" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula> 35 %)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SLS 2</oasis:entry>
         <oasis:entry colname="col2">0.016 <inline-formula><mml:math id="M246" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>
         <oasis:entry colname="col3">1.179 <inline-formula><mml:math id="M247" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.336 (<inline-formula><mml:math id="M248" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula> 7269 %)</oasis:entry>
         <oasis:entry colname="col4">0.023 <inline-formula><mml:math id="M249" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.013 (<inline-formula><mml:math id="M250" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula> 43 %)</oasis:entry>
         <oasis:entry colname="col5">0.04 (<inline-formula><mml:math id="M251" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula> 150 %)</oasis:entry>
         <oasis:entry colname="col6">0.046 <inline-formula><mml:math id="M252" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05 (<inline-formula><mml:math id="M253" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula> 188 %)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Evaluation of model performance</title>
      <p id="d2e3165">To evaluate model performance, CH<sub>4</sub> generation estimates from the CLEEN<sub>opt</sub> model were compared with the observed seasonal CH<sub>4</sub> generation at two landfill sites (SLS 1 and SLS 2) (Table 3). The model showed strong correlations with field measurements at both sites, with a particularly high correlation at SLS 1 (RMSE <inline-formula><mml:math id="M257" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.22 million CH<sub>4</sub> m<sup>3</sup>, MAE <inline-formula><mml:math id="M260" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.78 million CH<sub>4</sub> m<sup>3</sup>, <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.96</mml:mn></mml:mrow></mml:math></inline-formula>). In contrast, the model performance for SLS 2 was relatively low (RMSE <inline-formula><mml:math id="M264" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6.48 million CH<sub>4</sub> m<sup>3</sup>, MAE <inline-formula><mml:math id="M267" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.81 million CH<sub>4</sub> m<sup>3</sup>, <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.64</mml:mn></mml:mrow></mml:math></inline-formula>), likely because of the greater variability in field measurements caused by ongoing landfilling activities.</p>

<table-wrap id="T3"><label>Table 3</label><caption><p id="d2e3324">The evaluation of the seasonal simulation of the CLEEN<sub>opt</sub> model for SLS 1 and SLS 2.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">SLS1</oasis:entry>
         <oasis:entry colname="col3">SLS 2</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">RMSE (million CH<sub>4</sub> m<sup>3</sup>)</oasis:entry>
         <oasis:entry colname="col2">2.22</oasis:entry>
         <oasis:entry colname="col3">6.48</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MAE (million CH<sub>4</sub> m<sup>3</sup>)</oasis:entry>
         <oasis:entry colname="col2">1.78</oasis:entry>
         <oasis:entry colname="col3">4.81</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pearson <inline-formula><mml:math id="M276" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.96</oasis:entry>
         <oasis:entry colname="col3">0.63</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3442">To compare the performance with conventional models such as the CLEEN, IPCC, and LandGEM models, which estimate CH<sub>4</sub> emissions on an annual basis, the annual CLEEN<sub>opt</sub> model CH<sub>4</sub> generation values were used. As shown in Fig. 3, the CLEEN<sub>opt</sub> model achieved the lowest RMSE and MAE (values of 12.7 and 9.8 million CH<sub>4</sub> m<sup>3</sup>, respectively), demonstrating superior accuracy in simulating observed data. In terms of predictive error, the models ranked in ascending order, were IPCC, CLEEN, and LandGEM, with LandGEM exhibiting the highest RMSE and MAE values.</p>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e3503">Comparisons of RMSE and MAE between observed and model estimated CH<sub>4</sub> generation.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/7789/2026/acp-26-7789-2026-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Simulation of model estimates</title>
      <p id="d2e3529">Figure 4 shows the simulated seasonal CH<sub>4</sub> generation from the CLEEN<sub>opt</sub> and CLEEN models for SLS 1 and SLS 2. The results indicated that CH<sub>4</sub> generation increased during the active landfilling phase and gradually declined after site closure in both landfills. For SLS 1, the CLEEN<sub>opt</sub> model estimated the peak CH<sub>4</sub> generation in 2002 at 52.7 million m<sup>3</sup>, followed by a gradual decline (Fig. 4a). By contrast, the CLEEN model estimated an earlier peak in 1998 at 86.6 million m<sup>3</sup>. For SLS 2, the CLEEN<sub>opt</sub> model showed a peak in 2007 at 47.5 million m<sup>3</sup>, while the CLEEN model estimated a peak in 2005 at 67.5 million m<sup>3</sup> (Fig. 4b). The sharp drop in the SLS 2 model-estimated <inline-formula><mml:math id="M294" 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> generation during the summer of 2011 was likely due to extreme precipitation events, particularly in July, when the monthly total rainfall reached 864.2 mm, more than twice the climatological average. This anomaly likely caused the model to underestimate the CH<sub>4</sub> generation during this period.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e3646">Seasonal CH<sub>4</sub> generation of CLEEN<sub>opt</sub>, CLEEN, and actual field observation for <bold>(a)</bold> the SLS 1 and <bold>(b)</bold> the SLS 2.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/7789/2026/acp-26-7789-2026-f04.png"/>

        </fig>

      <p id="d2e3679">The CLEEN model showed significant overestimation and variability in the simulated <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> generation. This overestimation likely resulted from the use of non-calibrated emission factors despite the incorporation of identical meteorological inputs. In contrast, the CLEEN<sub>opt</sub> model demonstrated improved reproducibility and alignment with CH<sub>4</sub> generation trends. These results highlight the importance of the site-specific calibration of model parameters with meteorological conditions to accurately estimate emissions.</p>
      <p id="d2e3712">The model uncertainty was assessed using the Monte Carlo method by randomly sampling input variables within their specified value ranges (Fig. S3). Uncertainty was defined as the 95 % confidence interval of the average annual CH<sub>4</sub> generation calculated from 1000 simulation runs. The estimated uncertainty in CH<sub>4</sub> generation at SLS 1 ranged from 75 % to 145 %, whereas that at the SLS 2 ranged from 51 % to 67 %.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Model results based on meteorological condition</title>
      <p id="d2e3741">To examine the response of CH<sub>4</sub> generation to meteorological variability, the CLEEN<sub>opt</sub> model was applied under an idealized landfill scenario, with a fixed waste input of 600 000 t per month and an <inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of 100 m<sup>3</sup> Mg<sup>−1</sup>. The ambient temperature and precipitation were varied independently across ranges representative of seasonal conditions in South Korea (<inline-formula><mml:math id="M308" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>5 to 39 °C and 0 to 16 mm d<sup>−1</sup>, respectively). For each temperature and precipitation scenario, the model simulated CH<sub>4</sub> generation over a 30-year period, and the total CH<sub>4</sub> generation was compared across all scenarios to assess the relative impact of each variable. The analysis aimed to reflect conditions similar to those of the Sudokwon landfill, using the same modeling period for consistency.</p>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e3834">Heatmap of simulated methane generation as a function of temperature and precipitation.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/7789/2026/acp-26-7789-2026-f05.png"/>

        </fig>

<table-wrap id="T4"><label>Table 4</label><caption><p id="d2e3846">Assessment of climate-induced CH<sub>4</sub> generation using OLS regression analysis.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5">CH<sub>4</sub> Generation <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi>T</mml:mi></mml:msub><mml:mi>T</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi>P</mml:mi></mml:msub><mml:mi>P</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">TP</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mi mathvariant="normal">TP</mml:mi></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mrow><mml:mi>P</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:msup><mml:mi>P</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ε</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Variables</oasis:entry>
         <oasis:entry colname="col2">Coefficient</oasis:entry>
         <oasis:entry colname="col3">std err</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M315" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>-value</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M316" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-value</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Intercept</oasis:entry>
         <oasis:entry colname="col2">5756. 8</oasis:entry>
         <oasis:entry colname="col3">51.7</oasis:entry>
         <oasis:entry colname="col4">111.2</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M317" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M318" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">47.8</oasis:entry>
         <oasis:entry colname="col3">1.9</oasis:entry>
         <oasis:entry colname="col4">24.6</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M319" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M320" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">38.5</oasis:entry>
         <oasis:entry colname="col3">6.6</oasis:entry>
         <oasis:entry colname="col4">5.9</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M321" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mo>×</mml:mo><mml:mi>P</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M323" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.0</oasis:entry>
         <oasis:entry colname="col3">0.4</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M324" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.7</oasis:entry>
         <oasis:entry colname="col5">0.008</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msup><mml:mi>P</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M326" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>36.3</oasis:entry>
         <oasis:entry colname="col3">1.5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M327" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.3</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M328" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e4154">Figure 5 shows a 2D heatmap of simulated CH<sub>4</sub> generation as a function of temperature and precipitation. As temperature increases, CH<sub>4</sub> generation consistently rises across the full range of precipitation. In case of precipitation, CH<sub>4</sub> generation increases up to approximately 9–10 mm d<sup>−1</sup>, but declines at higher precipitation level.</p>
      <p id="d2e4196">To statistically quantify these relationships, we applied ordinary least squares (OLS) using centered predictors to mitigate multicollinearity (Iacobucci et al., 2016; Kraemer and Blasey, 2004). The regression results summarized in Table 4 shows a strong positive association with temperature (<inline-formula><mml:math id="M333" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M334" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001). Under average conditions, the OLS coefficient for temperature (47.8 units per 1 °C) corresponds to an increase of approximately 0.8 %–1.0 % in simulated CH<sub>4</sub> generation per 1 °C warming. In contrast, precipitation indicates a significant nonlinear effect: the combination of a positive linear and negative quadratic term (both <inline-formula><mml:math id="M336" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M337" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.001) produce the inverted-U shaped relationship, with emissions peaking at intermediate precipitation levels around 9–10 mm d<sup>−1</sup>. In addition, the temperature–precipitation interaction term is statistically significant (<inline-formula><mml:math id="M339" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M340" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.008), indicating that increasing precipitation reduces the effect of temperature on CH<sub>4</sub> generation. In other words, under dry conditions, the effect of temperature on CH<sub>4</sub> generation is relatively more pronounced, whereas under moist conditions, the influence of precipitation becomes comparatively more important.</p>
      <p id="d2e4281">Previous studies have reported peak CH<sub>4</sub> emissions at subsurface soil temperatures between 25  and 40 °C (Scheutz et al., 2009; Spokas and Bogner, 2011; Whalen et al., 1990), which closely correlate with ambient temperatures   (Yesiller and Hanson, 2003). Elevated ambient temperatures provide a favorable environment for the bacterial degradation of waste   (Rachor et al., 2013; Wang et al., 2012). Precipitation influences CH<sub>4</sub> emissions by affecting both soil moisture content and water diffusion within the landfill. Although moderate moisture levels support microbial activity and enhance CH<sub>4</sub> production, excessive precipitation can saturate landfill pores, thereby inhibiting gas diffusion and reducing CH<sub>4</sub> emissions   (Rachor et al., 2013; Scheutz et al., 2009). These results suggested that optimal CH<sub>4</sub> generation occurred under high temperatures and moderate precipitation, whereas excessive rainfall could suppress emissions owing to pore saturation and limited gas transportation.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Analysis of meteorological impacts</title>
      <p id="d2e4338">The absolute contributions of temperature and precipitation variability to the modeled CH<sub>4</sub> emissions across the two landfill sites are shown in Fig. 6. The contrasting sensitivities observed between the two landfill sites suggested that the landfill operational status played a key role in mediating climate-driven CH<sub>4</sub> generation. SLS 1, which reached the post-closure phase and was undergoing stabilization, showed a lower response to both temperature (2.90 %) and combined variability of temperature and precipitation (4.59 %), although precipitation still exhibited a strong influence (7.96 %). In contrast, SLS 2, which remained in an active state with ongoing waste placement, showed greater sensitivity to temperature (9.02 %) and combined variability (13.11 %).</p>

      <fig id="F6"><label>Figure 6</label><caption><p id="d2e4361">The contribution of temperature and precipitation to CH<sub>4</sub> generation in SLS 1 and SLS 2.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/7789/2026/acp-26-7789-2026-f06.png"/>

        </fig>

      <p id="d2e4379">These differences were likely due to the dynamic microbial and hydrological conditions present in active landfills. The continuous deposition of waste in SLS 2 maintained high levels of organic loading and microbial activity. Given the ongoing operation, the surface has not yet been fully covered, leaving it more exposed to external environmental factors. Conversely, in closed landfills with stable conditions, such as SLS 1, the application of a final cover likely reduces environmental variability at the surface, thereby mitigating the impact of meteorological conditions.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d2e4391">In this study, we showed that incorporating site-specific meteorological conditions significantly improved the accuracy of CH<sub>4</sub> generation estimates at the SLS. We further evaluated the influence of meteorological conditions on CH<sub>4</sub> generation at the SLS. The results indicated that CH<sub>4</sub> generation increased with rising temperature, whereas the effect of precipitation increased up to a certain threshold and then decreased. Prior research has also reported such relationships between meteorological variables and landfill CH<sub>4</sub> generation. For instance,   Fei et al. (2016) found that higher temperatures were associated with increased waste decomposition, as reflected by elevated <inline-formula><mml:math id="M355" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> values based on laboratory and field monitoring data. Similarly, Jain et al. (2021) examined 114 closed landfills in the US and found that landfills in regions with adequate annual precipitation emitted more CH<sub>4</sub> than those in arid regions. However, excessive soil moisture has been reported to reduce CH<sub>4</sub> emissions by impeding gas exchange owing to water-filled pore spaces  (Rachor et al., 2013). In contrast, some studies have reported a negative relationship between temperature and CH<sub>4</sub> emissions  (Rachor et al., 2013), which was attributed to reduced moisture availability under high-temperature conditions   (Sacramento et al., 2024; Visvanathan et al., 1999). In the SLS, the positive correlation between temperature and CH<sub>4</sub> generation was likely due to the availability of sufficient moisture during the summer months when temperatures were high.</p>
      <p id="d2e4474">We quantified the relative contributions of temperature and precipitation to CH<sub>4</sub> generation in the SLS and highlighted the site-specific differences in climate sensitivity based on the operational status of the landfill. Climate sensitivity can vary depending on the physical and biochemical conditions of landfills, particularly whether active or closed (Barlaz et al., 1990; Karanjekar et al., 2015). Closed landfills are typically capped with cover layers, which reduce exposure to external environmental influences and stabilize organic waste over time  (Duan et al., 2022). By contrast, active landfills continue to receive degradable organic waste and remain open to the atmosphere, making them more susceptible to fluctuations in meteorological conditions  (Przydatek et al., 2024). Quantifying the effects of meteorological factors can contribute to more accurate estimation of future CH<sub>4</sub> emissions from landfills. In regions where the temperature and precipitation are expected to change under future climate change, the CLEEN<sub>opt</sub> model can be applied to estimate potential CH<sub>4</sub> emissions. These projections can serve as a scientific basis for informed policy decisions, enabling more effective landfill CH<sub>4</sub> measurements that are tailored to the operational status of landfills and site-specific climatic conditions.</p>
      <p id="d2e4522">The CLEEN<sub>opt</sub> model estimated CH<sub>4</sub> generation by accounting for key variables, including waste input, waste composition, ambient temperature, and precipitation. However, other environmental and meteorological factors that may influence CH<sub>4</sub> generation – such as soil moisture, atmospheric pressure, wind direction, and pH   (Amini et al., 2013; Scheutz et al., 2009) – were not explicitly represented in this study. Furthermore, the CH<sub>4</sub> generated in landfills undergoes microbial oxidation in the cover soil before being released into the atmosphere   (Duan et al., 2022; Scheutz et al., 2009). To ensure consistency with national inventory practice, we applied a default oxidation rate of 10 %, following the IPCC guidelines  (Eggleston et al., 2006). However, this value represents a major assumption and an important source of uncertainty in our emission estimates. In reality, CH<sub>4</sub> oxidation is also strongly influenced by climatic conditions, particularly temperature and precipitation (Christophersen et al., 2000). To achieve more accurate and policy-relevant estimates of atmospheric CH<sub>4</sub> emissions, future studies should aim to use oxidation rates that reflect local environmental variability, rather than relying on a default value   (Chanton et al., 2009; Scheutz et al., 2009). It is therefore imperative to obtain long-term, site-specific field measurements to enhance model calibration and validation. Expanding field-based monitoring across diverse landfill types and environmental conditions would improve both the accuracy and generalizability of landfill CH<sub>4</sub> emission models  (Mønster et al., 2019).</p>
      <p id="d2e4589">To extend the CLEEN<sub>opt</sub> framework to landfills with different climates, waste compositions, and operational practices, sufficient site-specific data are required for model calibration. The most critical inputs are field measurements of landfill gas (including surface emissions, gas collection, and gas flaring), along with detailed records of the amount of waste disposal and local temperature and precipitation. To adequately capture seasonal dynamics, these datasets should ideally have at least monthly or seasonal temporal resolution over several years. In addition, <inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> should be carefully constrained based on the amount and composition of degradable organic matter at the target landfill. In data-limited cases, one might use parameter sets derived from SLS for landfills that share similar conditions and waste management practices. However, such a parameter transfer would likely introduce substantial additional uncertainty, and parameter sets should be rigorously evaluated against local field measurements before being applied. Overall, the transferability of CLEEN<sub>opt</sub> to other regions depends strongly on the availability of long-term, temporally resolved landfill gas and activity data. Where such data exist, the framework can provide high-resolution and locally optimized CH<sub>4</sub> generation estimates, thereby enabling more robust applications across diverse climatic and waste management contexts.</p>
      <p id="d2e4631">Optimization of the emission factor within the CLEEN<sub>opt</sub> framework provides a facility-specific approach that is consistent with an IPCC Tier 3 methodology. By calibrating constant <inline-formula><mml:math id="M377" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> under site-specific meteorological conditions, the model yields facility-level emission factors that can be used to refine Tier 3 parameterization in national landfill CH<sub>4</sub> inventory methods. When combined with reliable, high-resolution activity data, CLEEN<sub>opt</sub> can enhance both the accuracy and transparency of landfill CH<sub>4</sub> emission estimates and support a more explicit quantification of inventory uncertainties. Systematically application of this framework at the national scale would enable country-specific, higher-tier emission estimates, aligning with IPCC guidelines. In turn, this could directly inform the improvement of national GHG inventory systems, support the design of effective CH<sub>4</sub> mitigation strategies, and provide a scientific basis for assessing progress toward national NDC (Nationally Determined Contribution) targets.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e4696">This study demonstrated that integrating site-specific meteorological conditions into landfill CH<sub>4</sub> generation modeling significantly improves estimation accuracy. Our results showed that CH<sub>4</sub> generation responded strongly to both temperature and precipitation, indicating an enhanced accuracy of the CLEEN<sub>opt</sub> model compared to that of conventional models that do not fully account for meteorological variability. The response of CH<sub>4</sub> generation to meteorological variations showed a linear response with temperature and a parabolic response with precipitation. Furthermore, the findings indicated that CH<sub>4</sub> generation increased with precipitation up to approximately 10 mm d<sup>−1</sup>, but decreased beyond this point, likely due to excessive soil moisture, which inhibited gas exchange. Using the CLEEN<sub>opt</sub> model, we quantified the relative contributions of temperature (5.96 <inline-formula><mml:math id="M389" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.06 %) and precipitation (7.38 <inline-formula><mml:math id="M390" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.58 %) to CH<sub>4</sub> generation at the SLS. These results highlight the importance of climate-sensitive modeling approaches that account for both seasonal variability and site-specific landfill characteristics. Quantifying the influence of meteorological conditions provides valuable insights into CH<sub>4</sub> mitigation strategies tailored to landfill type, operational phase, and regional climate. Long-term field observations in diverse landfill environments are essential to further enhance the reliability and applicability of landfill emission models.</p>
</sec>

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

      <p id="d2e4802">The data used in this study could be available upon request from the corresponding author.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e4805">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-26-7789-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-26-7789-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e4814">DHK, SJJ and DYC conceived and designed the study. DHK collected and performed the data analysis. SJJ, DYC, and JWJ discussed the results. All authors contributed to the manuscript writing.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e4820">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="d2e4826">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><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d2e4832">This article is part of the special issue “Greenhouse gas monitoring in the Asia–Pacific region (ACP/AMT/GMD inter-journal SI)”. It is not associated with a conference.</p>
  </notes><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e4838">This work was supported by Korea Environmental Industry and 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) and the Carbon Neutrality Core Technology Development Program (RS-2023-00267529, 2410000450) funded by the Ministry of Trade, Industry and Energy (MOTIE, Korea) and Korea Planning and Evaluation Institute of Industrial Technology (KEIT, Korea).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e4844">This paper was edited by Tanja Schuck and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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