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  <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-26-5375-2026</article-id><title-group><article-title>Global atmospheric methanol emissions inferred  from IASI satellite measurements and aircraft data</article-title><alt-title>Top-down methanol emissions</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Müller</surname><given-names>Jean-François</given-names></name>
          <email>jfm@aeronomie.be</email>
        <ext-link>https://orcid.org/0000-0001-5335-2622</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Stavrakou</surname><given-names>Trissevgeni</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Franco</surname><given-names>Bruno</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Clarisse</surname><given-names>Lieven</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8805-2141</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Amelynck</surname><given-names>Crist</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Schoon</surname><given-names>Niels</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Verreyken</surname><given-names>Bert W. D.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5297-8524</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Opacka</surname><given-names>Beata</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Vigouroux</surname><given-names>Corinne</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Guenther</surname><given-names>Alex B.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6283-8288</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Mahieu</surname><given-names>Emmanuel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5251-0286</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Makarova</surname><given-names>Maria</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2469-9250</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Strong</surname><given-names>Kimberly</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9947-1053</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Royal Belgian Institute for Space Aeronomy (BIRA-IASB), Avenue Circulaire 3, 1180 Brussels, Belgium</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Spectroscopy, Quantum Chemistry and Atmospheric Remote Sensing (SQUARES), Brussels Laboratory of the Universe (BLU-ULB), Université libre de Bruxelles (ULB), Brussels, Belgium</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Earth System Science, University of California Irvine, 92697 CA, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Institut d'Astrophysique et de Géophysique, Université de Liège, Liège, Belgium</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Saint Petersburg State University, Atmospheric Physics Department, St. Petersburg, Russia</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Physics, University of Toronto, Toronto, Canada</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jean-François Müller (jfm@aeronomie.be)</corresp></author-notes><pub-date><day>22</day><month>April</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>8</issue>
      <fpage>5375</fpage><lpage>5406</lpage>
      <history>
        <date date-type="received"><day>16</day><month>January</month><year>2026</year></date>
           <date date-type="rev-request"><day>3</day><month>February</month><year>2026</year></date>
           <date date-type="rev-recd"><day>13</day><month>April</month><year>2026</year></date>
           <date date-type="accepted"><day>14</day><month>April</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Jean-François Müller 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/26/5375/2026/acp-26-5375-2026.html">This article is available from https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e227">We employ an updated retrieval of space-based methanol (<inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>) column measurements from the Infrared Atmospheric Sounding Interferometer (IASI) and an emission optimisation framework built on the MAGRITTE chemical transport model to assess terrestrial emissions of methanol to the atmosphere between 2008–2019. We first carry out a IASI <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> validation study based on concentration measurements from three airborne campaigns, using the model and the IASI averaging kernels to compute aircraft-based columns directly comparable to IASI data. IASI is found to underestimate high columns in the considered region. A linear regression gives <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mtext>IASI</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.46</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mtext>airc</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">10.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, with <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mtext>IASI</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mtext>airc</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> the IASI and aircraft-derived columns, respectively. Inverse modelling of terrestrial methanol emissions using MAGRITTE and bias-corrected IASI columns leads to much-improved overall agreement against in situ measurement campaigns and column data at eight FTIR stations. The optimised global biogenic methanol emissions (<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">160</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) are 22 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–60 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> higher than previous top-down estimates, due to (1) column enhancements caused by the IASI bias-correction and (2) higher dry deposition velocities in the model over land, compared to previous model studies, based on a parametrisation constrained by extensive campaign data. The inversion results are less reliable over boreal forests due to shortcomings of both the bias-correction and the dry deposition scheme over these regions. The optimisation suggests large changes in the distribution and seasonality of emissions. Over tropical ecosystems, radiation and temperature appear to exert a stronger control on biogenic emissions than is currently accounted for in the MEGAN model.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>European Space Agency</funding-source>
<award-id>GLANCE</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Directorate-General for Environment</funding-source>
<award-id>grant agreement no. 101185000</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="d2e374">Methanol (<inline-formula><mml:math id="M9" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>) is, besides methane, the most abundant organic compound present in the atmosphere <xref ref-type="bibr" rid="bib1.bibx85" id="paren.1"><named-content content-type="pre">e.g.</named-content></xref>, due to its fairly long atmospheric lifetime, of the order of 5 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>
<xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx92 bib1.bibx16" id="paren.2"/> and to its large global production dominated by an important biogenic emission flux, of magnitude (<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> globally) equivalent to 18 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–23 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the global isoprene source <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx105 bib1.bibx87" id="paren.3"><named-content content-type="pre">e.g.</named-content></xref>. Other methanol sources include minor contributions from vegetation fires and anthropogenic emissions, each of the order of 10 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> globally <xref ref-type="bibr" rid="bib1.bibx47" id="paren.4"><named-content content-type="pre">e.g.</named-content></xref>; photochemical production (<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula>–60 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx53 bib1.bibx16" id="altparen.5"><named-content content-type="pre">e.g.</named-content></xref>) from reactions of <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with organic peroxy radicals <xref ref-type="bibr" rid="bib1.bibx58" id="paren.6"/> and with the hydroxyl radical <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx8" id="paren.7"><named-content content-type="pre">e.g.</named-content></xref>; as well as a large and uncertain marine biospheric source <xref ref-type="bibr" rid="bib1.bibx42" id="paren.8"/> of which global magnitude <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx16" id="paren.9"><named-content content-type="pre">24–85 <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, e.g.</named-content></xref> is more than offset by ocean uptake (38–101 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e581">The importance of methanol for atmospheric chemistry stems primarily from its main atmospheric sink, namely oxidation by <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx63" id="paren.10"><named-content content-type="pre">e.g.</named-content></xref>, which is an important source of carbon monoxide and formaldehyde <xref ref-type="bibr" rid="bib1.bibx62 bib1.bibx45 bib1.bibx105" id="paren.11"/> and has minor impacts on tropospheric ozone and the oxidizing capacity of the atmosphere <xref ref-type="bibr" rid="bib1.bibx94 bib1.bibx80" id="paren.12"/>. Methanol is also removed from the atmosphere through wet scavenging and uptake by oceans (see above) and vegetated areas <xref ref-type="bibr" rid="bib1.bibx47" id="paren.13"/>.</p>
      <p id="d2e606">The terrestrial biogenic emission of methanol is primarily associated with the growth of cell walls in plant leaves <xref ref-type="bibr" rid="bib1.bibx33" id="paren.14"/>, while other processes such as grassland cutting <xref ref-type="bibr" rid="bib1.bibx27" id="paren.15"/> and plant decay <xref ref-type="bibr" rid="bib1.bibx102" id="paren.16"/> also contribute but are considered minor. The emissions are dependent on leaf temperature and light, and are higher in young and growing leaves than in mature and senescent leaves <xref ref-type="bibr" rid="bib1.bibx72" id="paren.17"/>. The estimated global biogenic source of methanol, of the order of 100 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> according to the Model of Emissions of Gases and Aerosols from Nature version 2.1 (MEGANv2.1) <xref ref-type="bibr" rid="bib1.bibx41" id="paren.18"/>, agrees with top-down estimates constrained by in situ (primarily airborne) measurements <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx16" id="paren.19"/> or spaceborne retrievals of <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> columns from the Infrared Atmospheric Sounding Interferometer <xref ref-type="bibr" rid="bib1.bibx79 bib1.bibx92" id="paren.20"><named-content content-type="pre">IASI,</named-content></xref>. These results are also consistent with the total terrestrial surface source of methanol (<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">120</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) estimated based on column data from the Tropospheric Emission Spectrometer <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx105" id="paren.21"><named-content content-type="pre">TES,</named-content></xref>. Nevertheless, the confrontation of models with satellite data suggest substantial deviations from the MEGANv2.1 distributions, such as large underestimations over semi-arid regions (shrubland and savannas), overestimations over rainforests over Central Africa and parts of Amazonia, and a shift of the seasonal peak of biogenic emissions towards the spring at mid-latitudes <xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx104 bib1.bibx105" id="paren.22"/>.</p>
      <p id="d2e695">Top-down emission estimates based on satellite data bear uncertainties for several reasons. Firstly, although the IASI- and TES-based inverse modelling of emissions improved model comparisons against independent data <xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx105" id="paren.23"/>, significant underestimations persisted in comparisons with aircraft and ground-based measurements, suggesting potential biases in the satellite data. Recent studies showed that satellite retrievals may present biases with respect to independent datasets, e.g. for <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi></mml:mrow></mml:math></inline-formula> from UV-Visible sensors <xref ref-type="bibr" rid="bib1.bibx120 bib1.bibx101 bib1.bibx30 bib1.bibx68" id="paren.24"><named-content content-type="pre">e.g.</named-content></xref> and for several organic compounds from IR sensors including acetone and carboxylic acids from IASI <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx36" id="paren.25"/> and methanol and other species from the Cross-track Infrared Sounder <xref ref-type="bibr" rid="bib1.bibx106" id="paren.26"><named-content content-type="pre">CrIS,</named-content></xref>. The characterisation of satellite data biases can be used to derive bias-corrected datasets for use in inverse modelling, as has been done for <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx75 bib1.bibx68 bib1.bibx89" id="paren.27"/>.</p>
      <p id="d2e746">Secondly, potential inconsistencies between the vertical concentration profile from the model and assumed in the satellite retrieval might lead to biases in the comparison of total columns, due to vertical variations in the sensitivity of the chemical compound. This issue can be addressed through the application of averaging kernels <xref ref-type="bibr" rid="bib1.bibx32" id="paren.28"/>, which were however not available in previous works based on methanol IASI retrievals.</p>
      <p id="d2e752">Thirdly, the inverse modelling of terrestrial methanol emissions is sensitive to the representation of other key budget components. Although very uncertain, marine emissions have little relevance due to their very small impact over land <xref ref-type="bibr" rid="bib1.bibx16" id="paren.29"/>. Of higher importance is the production due to the <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> reaction, which was ignored in the earlier studies, including <xref ref-type="bibr" rid="bib1.bibx92" id="text.30"/> and <xref ref-type="bibr" rid="bib1.bibx105" id="text.31"/>. Most importantly, the parametrisation of methanol uptake on land surfaces was based on only few dry deposition data, despite the well-established bidirectional nature of biosphere/atmosphere exchange of methanol <xref ref-type="bibr" rid="bib1.bibx114" id="paren.32"/>. The adopted dry deposition velocities, typically below 0.6 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx63 bib1.bibx92" id="paren.33"/>, are significantly lower than average values reported in many field campaigns <xref ref-type="bibr" rid="bib1.bibx114" id="paren.34"/>. In some cases, the net methanol flux to the atmosphere is close to zero <xref ref-type="bibr" rid="bib1.bibx56" id="paren.35"/> or even negative during a large part of the year <xref ref-type="bibr" rid="bib1.bibx55" id="paren.36"/>.</p>
      <p id="d2e817">The present study aims to address the above issues in several ways. We present a newly developed version of the IASI <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> retrieval, IASIv4, including several methodological advances, among which the provision of averaging kernels. Next, we validate this product using aircraft measurements of methanol from several campaigns, and we use the results to propose a correction formula. The bias-corrected IASI dataset is then used to optimise terrestrial emissions in the global chemistry-transport model MAGRITTE <xref ref-type="bibr" rid="bib1.bibx67" id="paren.37"/>. This model incorporates methanol formation due to <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, as well as a detailed representation of methanol uptake. The deposition scheme over land is adjusted based on field campaign data. Finally, the optimisations are evaluated against a broad range of independent observations, including surface and airborne in situ data as well as Fourier-transform infrared (FTIR) column measurements.</p>
      <p id="d2e856">The manuscript is structured as follows. Sections <xref ref-type="sec" rid="Ch1.S2.SS1"/>–<xref ref-type="sec" rid="Ch1.S2.SS4"/> describe the IASIv4 retrieval, the airborne and surface in situ concentration datasets and the network of FTIR data. Section <xref ref-type="sec" rid="Ch1.S2.SS5"/> provides a brief description of the MAGRITTE model focusing on the parametrisation of methanol sources and sinks; in particular, Sect. <xref ref-type="sec" rid="Ch1.S2.SS5.SSS5"/> and Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/> describe the implementation of methanol dry deposition, including an evaluation of this scheme against observation-based estimates. Sections <xref ref-type="sec" rid="Ch1.S2.SS6"/> and <xref ref-type="sec" rid="Ch1.S2.SS7"/> present the methodology used for IASI validation and for emission optimisation based on either aircraft or satellite data. Section <xref ref-type="sec" rid="Ch1.S3"/> presents the evaluation of IASI biases using aircraft data, and proposes a bias-correction formula for use in inverse modelling. Section <xref ref-type="sec" rid="Ch1.S4"/> presents an assessment of top-down terrestrial emissions based on IASI, while Sect. <xref ref-type="sec" rid="Ch1.S5"/> provides an evaluation of the optimised results against independent data; finally, Sect. 6 presents the conclusions of this study.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>IASI methanol columns</title>
      <p id="d2e895">In this study, we use <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> column measurements retrieved from infrared spectra recorded by IASI, which operates onboard the polar-orbiting MetOp series of meteorological satellites: MetOp-A (operational from 2007 to late 2021), MetOp-B (since 2013), and MetOp-C (since 2019). Each IASI sensor provides global coverage twice per day (<inline-formula><mml:math id="M33" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula>09:30 local solar time, morning and evening overpasses) with a circular footprint of 12 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> diameter at nadir. The dataset used here has been produced with version 4 of the artificial neural network retrieval framework for IASI (ANNI). The IASIv4 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> product builds upon the previous ANNI-based <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> dataset (v3) described in <xref ref-type="bibr" rid="bib1.bibx34" id="text.38"/> and incorporates the methodological advances introduced with the ANNI v4 retrieval framework <xref ref-type="bibr" rid="bib1.bibx25" id="paren.39"/>. While these references provide a full description of the retrieval approach and resulting product, we summarize below the key aspects relevant for the present study.</p>
      <p id="d2e959">First, the ANNI retrieval framework calculates for each IASI observation a hyperspectral range index (HRI), a sensitive metric quantifying the strength of the signature of the target species in the spectrum. In ANNI v4, a regularization procedure in the HRI setup allows suppressing discrepancies that are due to changes in the instrument calibration and post-processing <xref ref-type="bibr" rid="bib1.bibx25" id="paren.40"/>. This ensures HRI consistency throughout the full IASI time series and between the different IASI sounders. In a second step, for each IASI observation, the corresponding HRI is converted into a single-pixel gas total column (and uncertainty) using an artificial feedforward neural network (NN) trained to emulate the non-linear relationships between the HRI, atmospheric and surface conditions, and the gas vertical abundance. The meteorological variables used as NN inputs (e.g. temperature profiles, water vapor content) are sourced from the hourly ERA5 reanalysis of the European Center for Medium-Range Weather Forecasts <xref ref-type="bibr" rid="bib1.bibx44" id="paren.41"><named-content content-type="pre">ECMWF;</named-content></xref>, co-located in space and time with the IASI measurements. Cloudy scenes are excluded from the retrievals, and post-retrieval quality filters reject unphysical results due to poor observational conditions in which IASI cannot reliably measure the target gas <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx25" id="paren.42"/>. The single-pixel cloud flag used by the ANNI v4 framework is the NN-based cloud product developed specifically for IASI <xref ref-type="bibr" rid="bib1.bibx108" id="paren.43"/>.</p>
      <p id="d2e976">The spectral range for the <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> HRI was kept to 960–1080 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> as in the previous versions of the product. Regularization was achieved by removing the vector space associated with the 10 lowest eigenvalues of the covariance matrix in the calculation of the inverse of the covariance matrix. Two remaining small corrections were applied to remove residual biases between the different IASI instruments that were observed in the average <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> HRI timeseries. Between 13 April–7 October 2015, a correction of <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> was applied to the <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> HRIs derived from IASI/Metop-A measurements. In addition, a correction of <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> was applied to the <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> HRIs from IASI/Metop-C measurements.</p>
      <p id="d2e1066">For its baseline retrieval, the ANNI framework assumes constant vertical profile shapes of the target gas, derived from model simulations, with one representative profile over land and another over sea <xref ref-type="bibr" rid="bib1.bibx34" id="paren.44"/>. For <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, these profile shapes have been updated in ANNI v4 to better match the average tropospheric <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> vertical distribution inferred from the aircraft measurements described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>. The updated ANNI v4 profile shapes are shown in Fig. <xref ref-type="fig" rid="F1"/> together with the globally averaged <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> profiles from the MAGRITTE a priori simulation. Because these profile shapes can be a source of retrieval errors, particularly when the assumed profile shape differs largely from the true gas vertical distribution, the ANNI v4 framework produces a total-column averaging kernel (AVK) for each retrieved gas column <xref ref-type="bibr" rid="bib1.bibx25" id="paren.45"/>. The mean vertical profiles of the AVK over land and ocean are displayed on Fig. <xref ref-type="fig" rid="F1"/>. The sensitivity of IASI is lowest near the surface (AVK around 0.1–0.2) and highest in the upper troposphere and stratosphere (around 2–3). The spatial and seasonal distribution of the AVK is displayed on Fig. S1 in the Supplement. These AVKs are useful for harmonizing vertical-profile assumptions when comparing IASI retrievals with independent observations or atmospheric model outputs. This can be achieved by applying the IASI AVKs to the external dataset to simulate what ANNIv4 would retrieve if it were to observe the modelled distributions. This is the approach adopted in this study. Another way to use AVKs is by adjusting the IASI retrievals to match the vertical profile shape from the external dataset <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx117" id="paren.46"><named-content content-type="pre">see, e.g.</named-content></xref>. In addition, the ANNI v4 framework provides random and systematic uncertainty estimates associated with each retrieved column <xref ref-type="bibr" rid="bib1.bibx25" id="paren.47"/>. It is worth noting that, as applying the AVKs removes the uncertainties on the assumed vertical <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> distribution, the final product includes single-pixel uncertainty values both with and without accounting for the vertical-profile uncertainty terms. In this study, only the daytime measurements of the IASIv4 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> product are used, as these offer enhanced sensitivity to weak infrared absorbers such as <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e1172"> Average profile shapes of the methanol volume mixing ratio (VMR) and IASI total column averaging kernel (AVK) <bold>(a)</bold> over land, and <bold>(b)</bold> over sea. Red curves: <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratio profile shape used in the IASI retrieval. Black solid lines: globally-averaged profiles from the MAGRITTE model, for year 2008 (a priori simulation, see Sect. <xref ref-type="sec" rid="Ch1.S2.SS5"/>). Dotted line: globally-averaged IASI averaging kernel.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Aircraft concentration data</title>
      <p id="d2e1210">Table <xref ref-type="table" rid="T1"/> lists the aircraft data used in this study. Three datasets from campaigns conducted over the US in 2012–2013 are used to evaluate the IASI <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> columns, as described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS6"/>. Additional campaign datasets spanning 2008–2018 are used to evaluate the global inverse modelling results constrained by IASI. The campaigns are detailed below.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1233">Aircraft campaign datasets in this work. The first three datasets are used to determine the <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> biases through aircraft-based inversion (Sect. <xref ref-type="sec" rid="Ch1.S2.SS6"/>). All datasets are used to evaluate the emission inversions constrained by IASI. PTR-Q-MS: Proton Transfer Reaction  –  Quadrupole Mass Spectrosopy; PTR-ToF-MS: Proton Transfer Reaction  –  Time-of-Flight Mass Spectrosopy; TOGA: Trace Organic Gas Analyzer.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Aircraft dataset</oasis:entry>
         <oasis:entry colname="col2">Period</oasis:entry>
         <oasis:entry colname="col3">Measurement technique</oasis:entry>
         <oasis:entry colname="col4">Reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">SEAC<sup>4</sup>RS</oasis:entry>
         <oasis:entry colname="col2">August–September 2013</oasis:entry>
         <oasis:entry colname="col3">PTR-Q-MS</oasis:entry>
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx111" id="text.48"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SENEX</oasis:entry>
         <oasis:entry colname="col2">June–July 2013</oasis:entry>
         <oasis:entry colname="col3">PTR-Q-MS</oasis:entry>
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx28" id="text.49"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">DC3 (DC8)</oasis:entry>
         <oasis:entry colname="col2">May–June 2012</oasis:entry>
         <oasis:entry colname="col3">PTR-Q-MS</oasis:entry>
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx111" id="text.50"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">DC3 (GV)</oasis:entry>
         <oasis:entry colname="col2">May–June 2012</oasis:entry>
         <oasis:entry colname="col3">TOGA</oasis:entry>
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx6 bib1.bibx7" id="text.51"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ARCTAS</oasis:entry>
         <oasis:entry colname="col2">June–July 2008</oasis:entry>
         <oasis:entry colname="col3">PTR-Q-MS</oasis:entry>
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx28" id="text.52"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ARCTAS</oasis:entry>
         <oasis:entry colname="col2">June–July 2008</oasis:entry>
         <oasis:entry colname="col3">TOGA</oasis:entry>
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx6 bib1.bibx7" id="text.53"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GoAmazon IOP1</oasis:entry>
         <oasis:entry colname="col2">February–March 2014</oasis:entry>
         <oasis:entry colname="col3">PTR-Q-MS</oasis:entry>
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx57" id="text.54"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">KORUS-AQ</oasis:entry>
         <oasis:entry colname="col2">May–June 2016</oasis:entry>
         <oasis:entry colname="col3">PTR-ToF-MS</oasis:entry>
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx69" id="text.55"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ATom 1-4</oasis:entry>
         <oasis:entry colname="col2">July–August 2016</oasis:entry>
         <oasis:entry colname="col3">TOGA</oasis:entry>
         <oasis:entry colname="col4">
                    <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx6 bib1.bibx7" id="text.56"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">January–February 2017</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">September–October 2017</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">April–May 2018</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e1495">The DC3 (Deep Convective Clouds and Chemistry) mission took place over the Central US in May–June 2012 <xref ref-type="bibr" rid="bib1.bibx15" id="paren.57"/>. Methanol was measured from two aircraft, the NASA DC8 and the NSF/NCAR Gulfstream V (GV). Proton Transfer Reaction  –  Quadrupole Mass Spectrosopy (PTR-Q-MS) was employed on the DC8, whereas the Trace Organic Gas Analyzer (TOGA) from NCAR was used on the GV. SEAC<sup>4</sup>RS (Studies of Emissions, Atmospheric Composition, Clouds and Climate Coupling by Regional Surveys) was conducted over the southeastern US in August–September 2013 on board the NASA DC8 aircraft <xref ref-type="bibr" rid="bib1.bibx95" id="paren.58"/>. SENEX (Southeast Nexus) <xref ref-type="bibr" rid="bib1.bibx103" id="paren.59"/> used the NOAA WP-3D aircraft to sample the lower troposphere (below ca. 6 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude) over the southeast USA in June 2013. ARCTAS (Arctic Research of the Composition of the Troposphere from Aircraft and Satellites) took place in 2008 <xref ref-type="bibr" rid="bib1.bibx48" id="paren.60"/>. Two instruments, PTR-Q-MS and TOGA, were used to measure <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> on the same platform. We used the June 2008 campaign, which mostly took place over California and surrounding oceanic regions, and the July 2008 campaign which mainly took place above Canada (Fig. <xref ref-type="fig" rid="F2"/>). GoAmazon (Observations and Modeling of the Green Ocean Amazon) was conducted around Manaus, Brazil, in the central Amazon basin in 2014–2015. It included ground measurements at several sites as well as aircraft observations from a G-159 Gulfstream I (G-1) mostly operated in the boundary layer and a Gulfstream G550 in the free troposphere. <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> was measured on board the G-1 during the first Intensive Operating Period (IOP1) between 22 February and 23 March 2014. KORUS-AQ (Korea–US Air quality) investigated air composition with the NASA DC8 aircraft over Korea and surrounding areas in May–June 2016 <xref ref-type="bibr" rid="bib1.bibx26" id="paren.61"/>. The ATom (Atmospheric Tomography) mission <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx113" id="paren.62"/> consisted of four separate campaigns, in July–August 2016, January–February 2017, September–October 2017, and April–May 2018. In each deployment, the NASA DC8 aircraft flew through the full lengths of the Pacific and Atlantic Oceans, between ca. 200 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude. TOGA was used to measure <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> during these flights.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1605"> (Left) Flight tracks of the SENEX, DC3 (DC8), and SEAC<sup>4</sup>RS aircraft missions, used as constraints in the aircraft-based inversion over the US (Right) Flight tracks of the additional aircraft campaigns used for model evaluation: DC3 (GV), GoAmazon, KORUS-AQ, ARCTAS, and ATom,  cf. Table <xref ref-type="table" rid="T1"/>.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f02.png"/>

        </fig>

      <p id="d2e1625">More details on the instrumental techniques are found in the references listed in Table <xref ref-type="table" rid="T1"/>. In all campaigns, we exclude data from urban plumes (identified as <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) and biomass burning plumes (<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">CN</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">225</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">pptv</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>). These filters remove only few data for most campaigns, e.g. 2 <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, 1 <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, and 6 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of measurements from SEAC<sup>4</sup>RS, SENEX and DC3, respectively, whereas a larger proportion of measurements (26 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) was excluded due to fires from the ARCTAS-July campaign over Canada. The rationale for this filtering is that the missions often deliberately target urban or fire plumes <xref ref-type="bibr" rid="bib1.bibx48" id="paren.63"><named-content content-type="pre">e.g.</named-content></xref>, leading to potential biases in comparisons with low-resolution model results. Measurements over ocean are also excluded, except for the ATom mission. The reported accuracy of <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> measurements is <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–25 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> for PTR-Q-MS <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx111" id="paren.64"/>, <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> for TOGA <xref ref-type="bibr" rid="bib1.bibx5" id="paren.65"/>, and <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> for PTR-ToF-MS <xref ref-type="bibr" rid="bib1.bibx69 bib1.bibx18" id="paren.66"/>. The measurements are publicly available via data archive centers (see “Data availability” section). The flight tracks are shown in Fig. <xref ref-type="fig" rid="F2"/>.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Other in situ methanol data</title>
      <p id="d2e1844">The averaged in situ methanol mixing ratios from measurement campaigns reported in 41 literature studies are listed in Table S1 in the Supplement. The locations of the observations are provided in the Table and displayed on Fig. S2. Measurements conducted after 2019 or before 2008 are compared to climatological monthly values based on 2008–2019 optimisation results, whereas measurements performed within the study period (2008– 2019) are used for evaluation of IASI-based optimisation for the same year. Various instrumental techniques were used to measure <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios, among which PTR-Q-MS is the most common.</p>
      <p id="d2e1860">In addition to the sites of Table S1, we also use monthly <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations measured by PTR-Q-MS at two sites in Belgium: the forested site of Vielsalm (50.305° N, 5.998° E) <xref ref-type="bibr" rid="bib1.bibx55" id="paren.67"/> and the cropland site of Lonzée (50.552° N, 4.746° E) <xref ref-type="bibr" rid="bib1.bibx11" id="paren.68"/>. The datasets of half-hourly mixing ratios and error estimates are publicly available (see “Data availability” section). The 2-<inline-formula><mml:math id="M81" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> uncertainties (including statistical and systematic errors) are typically of the order of <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>FTIR column data</title>
      <p id="d2e1916">The Network for the Detection of Atmospheric Composition Change (NDACC) Infrared Working Group (IRWG) operates a distributed set of more than twenty high-resolution FTIR spectrometers that record mid-infrared solar absorption spectra at high spectral resolution <xref ref-type="bibr" rid="bib1.bibx29" id="paren.69"/>. Total columns and low-vertical-resolution profiles of many gases are extracted from each spectrum by fitting modelled absorption to observed features using a radiative transfer forward model and an inversion (optimal estimation) retrieval.</p>
      <p id="d2e1922">Since methanol is not a mandatory NDACC target species, it is currently retrieved at only eight sites, listed in Table S2. This work uses data from all sites, namely Eureka, Canada, between 2008–2019; St Petersburg, Russia (2009–2019); Toronto, Canada (2008–2019); Jungfraujoch (2008–2019); St Denis, Reunion Island (2009–2011); Maïdo, Reunion Island (2013–2019); Porto Velho, Brazil (2019); and Kitt Peak Observatory where methanol columns were measured between 1985–2003 <xref ref-type="bibr" rid="bib1.bibx81" id="paren.70"/>. Unlike the official NDACC gases for which harmonized retrieval parameters are used within the network, individual sites have their own settings for methanol. Details on the retrieval methodology for each station can be found in <xref ref-type="bibr" rid="bib1.bibx81" id="text.71"/> for Kitt Peak, <xref ref-type="bibr" rid="bib1.bibx100" id="text.72"/> for St Denis (same settings used at Maïdo and Porto Velho), <xref ref-type="bibr" rid="bib1.bibx99" id="text.73"/> and <xref ref-type="bibr" rid="bib1.bibx112" id="text.74"/> for Eureka (same settings used at St Petersburg), <xref ref-type="bibr" rid="bib1.bibx115" id="text.75"/> for Toronto, and <xref ref-type="bibr" rid="bib1.bibx12" id="text.76"/> for Jungfraujoch. In addition to total columns, the FTIR retrievals provide vertical profiles. For methanol, the degrees of freedom for signal ranges between 1.0–1.8, with a good sensitivity from the ground up to 15–20 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> depending on the site (see above references). The estimated random and systematic uncertainties for an individual methanol retrieval amount to 4 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–10 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> and 7 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–15 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, respectively, also depending on the site.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Chemistry-transport model</title>
<sec id="Ch1.S2.SS5.SSS1">
  <label>2.5.1</label><title>General model description</title>
      <p id="d2e2004">We use the Model of Atmospheric composition at Global and Regional scales using Inversion Techniques for Trace gas Emissions (MAGRITTE v1.1), which calculates the distribution of 182 chemical species <xref ref-type="bibr" rid="bib1.bibx67" id="paren.77"/>. The model is run globally at <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>  resolution, with 40 vertical (<inline-formula><mml:math id="M90" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>-pressure) levels distributed between the surface and the lower stratosphere. The model incorporates a detailed description of the oxidation mechanism of biogenic volatile organic compounds <xref ref-type="bibr" rid="bib1.bibx67" id="paren.78"/>. The chemical mechanism of anthropogenic and pyrogenic compounds is obtained from the IMAGES model <xref ref-type="bibr" rid="bib1.bibx90 bib1.bibx17" id="paren.79"/>. The photolysis rates are interpolated from tabulated values calculated  using the TUV photolysis estimation package <xref ref-type="bibr" rid="bib1.bibx59" id="paren.80"/>. Meteorological fields are obtained from the ERA5 ECMWF reanalysis <xref ref-type="bibr" rid="bib1.bibx44" id="paren.81"/>. The effect of diurnal variation on the photolysis rates and kinetic rate constants are considered through correction factors calculated from model simulations with a 20 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> time step. These correction factors are used to calculate the diurnal cycle of <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations required for comparisons with atmospheric measurements.</p>
      <p id="d2e2067">Anthropogenic emissions of CO, NOx, <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, organic carbon and black carbon aerosols are taken from the HTAPv2 (Hemispheric Transport of Air Pollution version 2) inventory <xref ref-type="bibr" rid="bib1.bibx49" id="paren.82"/>. The speciated emissions of volatile organic compounds (VOCs) are obtained from the EDGARv4.3.2 inventory <xref ref-type="bibr" rid="bib1.bibx46" id="paren.83"/> between 2005–2012, and are taken equal to their 2012 values afterwards. The anthropogenic methanol emission is taken equal to 67 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the HTAPv2 total emission of alcohols. The resulting global flux is 10.5 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Vegetation fire emissions are provided from the GFED4s database <xref ref-type="bibr" rid="bib1.bibx98" id="paren.84"/>, with vertical injection profiles from <xref ref-type="bibr" rid="bib1.bibx88" id="text.85"/> and emission factors from <xref ref-type="bibr" rid="bib1.bibx4" id="text.86"/>. Biogenic VOC emissions of isoprene, monoterpenes and methanol are calculated using the MEGAN model <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx92" id="paren.87"/> embedded in the MOHYCAN canopy environment model <xref ref-type="bibr" rid="bib1.bibx65" id="paren.88"/> driven by ERA5 meteorological fields and Leaf Area Index (LAI) data from MODIS Collection 6 reprocessed as described in <xref ref-type="bibr" rid="bib1.bibx116" id="text.89"/>.</p>
      <p id="d2e2131">Figure <xref ref-type="fig" rid="F3"/> displays the distribution of the major sources and sinks of methanol. Their estimation and implementation in MAGRITTE are described in the following subsections. Wet deposition, a minor methanol sink, is parametrised based on the cloud and precipitation ERA5 fields <xref ref-type="bibr" rid="bib1.bibx91" id="paren.90"/>. This scheme distinguishes washout by convective precipitation, included in the convective transport scheme, from scavenging in and below large-scale stratiform clouds, which is represented as a first-order process. As in previous modelling studies, in-cloud oxidation of methanol is ignored, as it is considered very small <xref ref-type="bibr" rid="bib1.bibx47" id="paren.91"/>.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2145"> <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> sources and sinks (a priori simulation, 2008–2019 average), in <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>. <bold>(a)</bold> Biomass burning, <bold>(b)</bold> biogenic source, <bold>(c)</bold> anthropogenic source, <bold>(d)</bold> marine source (gross flux), <bold>(e)</bold> photochemical production, <bold>(f)</bold> photochemical loss, and <bold>(g)</bold> dry deposition flux. The global emission or sink is given inset in each panel.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f03.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS5.SSS2">
  <label>2.5.2</label><title>Photochemical production and sink</title>
      <p id="d2e2232">Methanol photochemical production proceeds primarily through the reactions of the methylperoxy radical with itself (<inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), with other (primary or secondary) organic peroxy radicals (<inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) or with the hydroxyl radical (<inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>): 

                  <disp-formula specific-use="align" content-type="numbered reaction"><mml:math id="M101" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.R1"><mml:mtd><mml:mtext>R1</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>→</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R2"><mml:mtd><mml:mtext>R2</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R3"><mml:mtd><mml:mtext>R3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">ROH</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R4"><mml:mtd><mml:mtext>R4</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">R</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R5"><mml:mtd><mml:mtext>R5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R6"><mml:mtd><mml:mtext>R6</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.R7"><mml:mtd><mml:mtext>R7</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>→</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OOOH</mml:mi></mml:mrow><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            </p>
      <p id="d2e2536">The rate and branching ratios of the self-reaction (Reactions <xref ref-type="disp-formula" rid="Ch1.R1"/> and <xref ref-type="disp-formula" rid="Ch1.R2"/>) are temperature-dependent <xref ref-type="bibr" rid="bib1.bibx21" id="paren.92"/>. For the reactions with other peroxy radicals (Reactions <xref ref-type="disp-formula" rid="Ch1.R3"/> and <xref ref-type="disp-formula" rid="Ch1.R4"/>), we follow <xref ref-type="bibr" rid="bib1.bibx67" id="text.93"/>, the cross reaction rates being taken as twice the geometric mean of the self-reaction rates. The methanol-forming branching ratio usually ranges between 0.2–0.5 for primary and secondary peroxy radicals, and is equal to zero for tertiary and acyl peroxy radicals.</p>
      <p id="d2e2554">The reaction of <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> (Reactions <xref ref-type="disp-formula" rid="Ch1.R5"/>–<xref ref-type="disp-formula" rid="Ch1.R7"/>) is very fast <xref ref-type="bibr" rid="bib1.bibx9" id="paren.94"><named-content content-type="pre">total rate of <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">molec</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>,</named-content></xref>. It generates an activated trioxide that, for the most part, promptly decomposes into either methoxy and hydroperoxy radicals (Reaction <xref ref-type="disp-formula" rid="Ch1.R5"/>) or methanol and <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (Reaction <xref ref-type="disp-formula" rid="Ch1.R6"/>). A small fraction of the trioxide is stabilised (Reaction <xref ref-type="disp-formula" rid="Ch1.R7"/>). The stabilised trioxide (denoted <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OOOH</mml:mi></mml:mrow></mml:math></inline-formula>) undergoes atmospheric transport and further reactions, which might partly lead to secondary methanol formation <xref ref-type="bibr" rid="bib1.bibx66 bib1.bibx67" id="paren.95"/>, although its fate is very uncertain. The stabilised fraction (Reaction <xref ref-type="disp-formula" rid="Ch1.R7"/>) is <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> near the Earth's surface, and decreases rapidly with altitude, due to an expected quadratic dependence on atmospheric pressure <xref ref-type="bibr" rid="bib1.bibx66" id="paren.96"/>. The experimental determinations of the Reaction (<xref ref-type="disp-formula" rid="Ch1.R5"/>) yield (0.9) at low pressure <xref ref-type="bibr" rid="bib1.bibx10" id="paren.97"/> and of the methanol yield (0.06) at near-atmospheric pressure <xref ref-type="bibr" rid="bib1.bibx23" id="paren.98"/> are consistent with the best theoretical estimate of the yields determined in <xref ref-type="bibr" rid="bib1.bibx66" id="text.99"/>. For further details on the yields and chemical mechanism, we refer to <xref ref-type="bibr" rid="bib1.bibx67" id="text.100"/>. At global scale, the MAGRITTE-calculated direct and indirect methanol yields from <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> are 7.5 <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> and 3.9 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. The total average yield, 11.4 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, is only slightly lower than the optimal value of 13 <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> determined by <xref ref-type="bibr" rid="bib1.bibx16" id="text.101"/> using a global model and airborne methanol measurements from the ATom campaign. This discrepancy is very small in view of the large uncertainties, notably the possible role of water complexation on the reactions of <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> radicals <xref ref-type="bibr" rid="bib1.bibx54" id="paren.102"/> and the fate of the stabilised trioxide <xref ref-type="bibr" rid="bib1.bibx23" id="paren.103"/>.</p>
      <p id="d2e2776">Reaction with <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> is by far the main chemical sink of methanol in the atmosphere, proceeding at a rate <xref ref-type="bibr" rid="bib1.bibx21" id="paren.104"><named-content content-type="pre"><inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">2.9</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:msup><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">345</mml:mn><mml:mo>/</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">molec</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>,</named-content></xref> resulting in a global lifetime against this process of about 10 <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>. Reaction of methanol with chlorine atoms is also considered <xref ref-type="bibr" rid="bib1.bibx21" id="paren.105"><named-content content-type="pre"><inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">molec</mml:mi><mml:msup><mml:mo>.</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>,</named-content></xref> but is only a very minor sink globally <xref ref-type="bibr" rid="bib1.bibx66 bib1.bibx16" id="paren.106"/>. The model-calculated OH levels are a significant source of uncertainty for both the secondary production and the photochemical sink of methanol. For example, the representation of halogen chemistry <xref ref-type="bibr" rid="bib1.bibx84" id="paren.107"/>, lightning NOx <xref ref-type="bibr" rid="bib1.bibx39" id="paren.108"/>, biogenic VOC emissions <xref ref-type="bibr" rid="bib1.bibx110" id="paren.109"/> and their degradation mechanisms <xref ref-type="bibr" rid="bib1.bibx74" id="paren.110"/> are potential causes of biases in the calculated OH concentrations. On the global scale, the MAGRITTE-calculated, mass-weighted tropospheric OH concentration average is <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mn mathvariant="normal">11.8</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, very similar to a recently reported multi-model average (<inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">11.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx70" id="paren.111"/>.</p>
</sec>
<sec id="Ch1.S2.SS5.SSS3">
  <label>2.5.3</label><title>Biogenic emission</title>
      <p id="d2e3010">The exchange of methanol between the terrestrial biosphere and the atmosphere is bidirectional. The biosphere is generally a net source under warm and sunny conditions, especially during springtime, while it is often a net sink under cold and humid conditions, e.g. during nighttime <xref ref-type="bibr" rid="bib1.bibx114" id="paren.112"><named-content content-type="pre">e.g.</named-content></xref>. The net flux <inline-formula><mml:math id="M120" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) into the atmosphere above the canopy is expressed as

                  <disp-formula id="Ch1.E8" content-type="numbered"><label>1</label><mml:math id="M122" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mi>E</mml:mi><mml:mo>-</mml:mo><mml:mi>L</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M123" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> the is emission rate, estimated using the MEGANv2.1 algorithm <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx92" id="paren.113"/>, and <inline-formula><mml:math id="M124" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> is the  uptake of methanol by vegetation. The uptake is calculated from the MAGRITTE-calculated above-canopy methanol concentration and a parametrisation of the dry deposition velocity (Sect. <xref ref-type="sec" rid="Ch1.S2.SS5.SSS5"/>).</p>
      <p id="d2e3093">The emission rate is calculated in MEGANv2.1 as

                  <disp-formula id="Ch1.E9" content-type="numbered"><label>2</label><mml:math id="M125" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>E</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mtext>CE</mml:mtext></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>age</mml:mtext></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>PT</mml:mtext></mml:msub><mml:mo>⋅</mml:mo><mml:mtext>LAI</mml:mtext><mml:mo>⋅</mml:mo><mml:mi mathvariant="italic">ϵ</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            
            where <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>CE</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is a normalization factor (<inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.58</mml:mn></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>age</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>PT</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are dimensionless activity factors accounting for the emission dependence on respectively leaf age and environmental conditions, LAI is the leaf area index (<inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M131" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula> is the emission factor at standard conditions as defined in <xref ref-type="bibr" rid="bib1.bibx40" id="text.114"/>. On the basis of whole ecosystem flux measurements, <inline-formula><mml:math id="M132" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula> has been set to 800 <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for northern temperate and boreal broadleaf trees, needleleaf trees, shrubs and crops, and 400 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for grasses and other broadleaf trees. The distribution of Plant Functional Types (PFTs) is obtained from <xref ref-type="bibr" rid="bib1.bibx40" id="text.115"/>. <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>age</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is highest for young leaves, by a factor 3–3.5 relative to mature leaves <xref ref-type="bibr" rid="bib1.bibx92" id="paren.116"/>, and is parametrised as function of LAI temporal variations <xref ref-type="bibr" rid="bib1.bibx40" id="paren.117"/>. The temperature and light response function <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>PT</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> includes the dependence of the emissions on leaf level temperature and visible radiation fluxes. It is expressed as

                  <disp-formula id="Ch1.E10" content-type="numbered"><label>3</label><mml:math id="M137" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>PT</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mtext>LDF</mml:mtext><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>T-li</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mtext>LDF</mml:mtext><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>T-ld</mml:mtext></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where the LDF is the light-dependent fraction of the emissions at standard conditions, taken equal to 0.8 for methanol, <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>T-li</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>T-ld</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are the temperature responses for respectively the light-independent and light-dependent fractions of the flux, and <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the dependence on visible radiation of the light-dependent part. The activity factors for the light-dependent part are calculated using the isoprene algorithm of the MEGANv2.1 model, except that they do not incorporate a dependence on past temperatures. Since leaf temperature and radiation fluxes are variable within the canopy, <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>PT</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is a weighted average of the expression given in Eq. (<xref ref-type="disp-formula" rid="Ch1.E10"/>), for all leaves. Leaf temperature and radiative fluxes are calculated separately for sunlit and shaded leaves at each of the 8 layers of the multi-layer canopy environmental model <xref ref-type="bibr" rid="bib1.bibx65" id="paren.118"/>. For further details on biogenic methanol emission estimation, we refer to <xref ref-type="bibr" rid="bib1.bibx65" id="text.119"/> and <xref ref-type="bibr" rid="bib1.bibx92" id="text.120"/>.</p>
      <p id="d2e3420">The global biogenic methanol emission flux is here estimated at 130 <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, on average between 2008–2019. This agrees well with the MEGAN-MACC estimation <xref ref-type="bibr" rid="bib1.bibx86" id="paren.121"/>, but is significantly higher than other MEGAN-based estimations including <xref ref-type="bibr" rid="bib1.bibx92" id="text.122"/> (105 <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the year 2009) and the CAMS-GLOB-BIOv3.1 dataset <xref ref-type="bibr" rid="bib1.bibx87" id="paren.123"><named-content content-type="pre">103 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for 2000–2019,</named-content></xref>. Possible reasons include the higher LAI values of the reprocessed MODIS dataset <xref ref-type="bibr" rid="bib1.bibx116" id="paren.124"/> (also adopted in CAMS-GLOB-BIO) compared to the dataset used by <xref ref-type="bibr" rid="bib1.bibx92" id="text.125"/> and the higher surface areas of low-emitting PFTs (grassland and tropical broadleaf forests) in CAMS-GLOB-BIOv3.1, compared to the MEGANv2.1 dataset <xref ref-type="bibr" rid="bib1.bibx40" id="paren.126"/> used here.</p>
</sec>
<sec id="Ch1.S2.SS5.SSS4">
  <label>2.5.4</label><title>Oceanic emission and oceanic uptake</title>
      <p id="d2e3503">As for the biosphere, the ocean-atmosphere exchange of methanol is bidirectional. The net flux (<inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) is written as a difference between a (gross) emission (<inline-formula><mml:math id="M146" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula>) and an uptake (<inline-formula><mml:math id="M147" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>):

                  <disp-formula id="Ch1.E11" content-type="numbered"><label>4</label><mml:math id="M148" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mi>E</mml:mi><mml:mo>-</mml:mo><mml:mi>U</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi>w</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>w</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>C</mml:mi><mml:mi>g</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msup><mml:mi>H</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) are the methanol concentrations in water and in air, respectively,

                  <disp-formula id="Ch1.E12" content-type="numbered"><label>5</label><mml:math id="M152" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msup><mml:mi>H</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi>R</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>T</mml:mi></mml:mrow></mml:math></disp-formula>

            with <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">M</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">atm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) the Henry's law constant for methanol <xref ref-type="bibr" rid="bib1.bibx82" id="paren.127"/>,

                  <disp-formula id="Ch1.E13" content-type="numbered"><label>6</label><mml:math id="M155" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">200</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>exp</mml:mtext><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">5600</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>T</mml:mi></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">298</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            <inline-formula><mml:math id="M156" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> the ideal gas constant (<inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.08205</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">atm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">mol</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M158" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> the water temperature (in <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>). The conductance <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is calculated by

                  <disp-formula id="Ch1.E14" content-type="numbered"><label>7</label><mml:math id="M161" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msup><mml:msub><mml:mi>K</mml:mi><mml:mi>w</mml:mi></mml:msub><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:msub><mml:mi>k</mml:mi><mml:mi>w</mml:mi></mml:msub><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi>g</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>H</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the liquid phase and gas phase transfer velocity, respectively. As in <xref ref-type="bibr" rid="bib1.bibx92" id="text.128"/>, <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is calculated as function of wind speed following <xref ref-type="bibr" rid="bib1.bibx73" id="text.129"/>. The gas-phase transfer velocity is calculated using

                  <disp-formula id="Ch1.E15" content-type="numbered"><label>8</label><mml:math id="M165" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>k</mml:mi><mml:mi>g</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:msup><mml:mo>)</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the aerodynamic and quasi-laminar layer resistances (<inline-formula><mml:math id="M168" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), parametrised as discussed in Sect. <xref ref-type="sec" rid="Ch1.S2.SS5.SSS5"/>. Note that the choice of Eq. (<xref ref-type="disp-formula" rid="Ch1.E15"/>) in place of the parametrisation of <xref ref-type="bibr" rid="bib1.bibx51" id="text.130"/> that was used in several previous global model studies <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx92 bib1.bibx16" id="paren.131"/> has little impact on the calculated fluxes, as the globally-averaged <inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> calculated using Eq. (<xref ref-type="disp-formula" rid="Ch1.E15"/>) is only about 3 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> lower than the corresponding value based on <xref ref-type="bibr" rid="bib1.bibx51" id="text.132"/>.</p>
      <p id="d2e4025">The gross oceanic emission is proportional to the assumed oceanic subsurface concentration of methanol (<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), for which we adopt the same value (118 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) as in several previous model studies <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx92 bib1.bibx105" id="paren.133"/>. This value was based on a single field study over the tropical Atlantic <xref ref-type="bibr" rid="bib1.bibx109" id="paren.134"/>. As discussed by <xref ref-type="bibr" rid="bib1.bibx16" id="text.135"/>, however, several recent field studies suggest significantly lower values. Furthermore, an average oceanic concentration of 61 <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was inferred from an analysis of airborne <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> measurements from the ATom campaign using the GEOS-Chem model <xref ref-type="bibr" rid="bib1.bibx16" id="paren.136"/>, supporting the view that the concentration reported by <xref ref-type="bibr" rid="bib1.bibx109" id="text.137"/> was likely not the most representative. This will have to be kept in mind when analyzing the methanol budget based on MAGRITTE.</p>
      <p id="d2e4102">As for biosphere-atmosphere exchanges, the oceanic uptake term (<inline-formula><mml:math id="M175" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>) is calculated from the modelled near-surface <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentration and a deposition velocity (<inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) calculated (see Eq. <xref ref-type="disp-formula" rid="Ch1.E11"/>) using

                  <disp-formula id="Ch1.E16" content-type="numbered"><label>9</label><mml:math id="M178" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>v</mml:mi><mml:mi>d</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi>w</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msup><mml:mi>H</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
</sec>
<sec id="Ch1.S2.SS5.SSS5">
  <label>2.5.5</label><title>Dry deposition</title>
      <p id="d2e4185">The dry deposition velocity is expressed <xref ref-type="bibr" rid="bib1.bibx107" id="paren.138"/> as

                  <disp-formula id="Ch1.E17" content-type="numbered"><label>10</label><mml:math id="M179" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>V</mml:mi><mml:mi>d</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

            with <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the aerodynamic resistance between the surface and the first model level, <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the quasi-laminar sublayer resistance, and <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the bulk surface resistance. The parametrisations of the resistances <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>b</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are obtained from the ECMWF Integrated Forecasting System (IFS) <xref ref-type="bibr" rid="bib1.bibx31" id="paren.139"/>, as detailed in Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/>. The surface resistance (<inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) is expressed <xref ref-type="bibr" rid="bib1.bibx119" id="paren.140"/> using

                  <disp-formula id="Ch1.E18" content-type="numbered"><label>11</label><mml:math id="M186" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ac</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>cut</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.125em" linebreak="nobreak"/></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the stomatal resistance, <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the mesophyll resistance, <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ac</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> the resistance to transfer in the canopy, and <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the resistance to soil uptake. Stomatal resistance being strongly radiation-dependent <xref ref-type="bibr" rid="bib1.bibx38" id="paren.141"/>, the conductance <inline-formula><mml:math id="M191" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:math></inline-formula> is calculated as a sum of contributions from each of the 8 layers of the canopy environmental model <xref ref-type="bibr" rid="bib1.bibx65" id="paren.142"/>. The parametrisation of stomatal resistance is detailed in Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/>. The parametrisation of the resistance <inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>ac</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> depends on friction velocity, LAI and the plant functional type <xref ref-type="bibr" rid="bib1.bibx119" id="paren.143"/>.</p>
      <p id="d2e4476">The parametrisation of the other resistances of Eq. (<xref ref-type="disp-formula" rid="Ch1.E18"/>) is adapted from <xref ref-type="bibr" rid="bib1.bibx107" id="text.144"/> and <xref ref-type="bibr" rid="bib1.bibx118" id="text.145"/>. The conductances are expressed as linear combinations of the conductances for <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (template for water-soluble species) and <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (for very reactive species):

                  <disp-formula specific-use="align" content-type="numbered"><mml:math id="M195" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E19"><mml:mtd><mml:mtext>12</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mn mathvariant="normal">3000</mml:mn></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mo>⋅</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E20"><mml:mtd><mml:mtext>13</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi>R</mml:mi><mml:mi>g</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi>g</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E21"><mml:mtd><mml:mtext>14</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>cut</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi>R</mml:mi><mml:mtext>cut</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mtext>cut</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            where <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are species-dependent parameters, while <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi>g</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>,  <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi>g</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mtext>cut</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mtext>cut</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>  are soil uptake and cuticular resistances for <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (see Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/>). <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is equal to 1 for very reactive species (e.g. ozone), and takes low values for weakly reactive compounds. In the original formulation of <xref ref-type="bibr" rid="bib1.bibx107" id="text.146"/>, the <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> factor was absent, i.e. their <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>. The formulation of <xref ref-type="bibr" rid="bib1.bibx118" id="text.147"/> implies a value of <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">300</mml:mn></mml:mrow></mml:math></inline-formula> for methanol at 298 <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, whereas their <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula>. Note that the precise values of <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are unimportant for the mesophyll resistance, as long as <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is not much lower than 1.</p>
      <p id="d2e4947">Field measurements of methanol fluxes over vegetated areas generally indicate strong deposition in humid conditions, indicating that methanol is consumed in water films present in the soil and/or on leaves, even though the precise mechanisms responsible for methanol degradation in water are not fully elucidated <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx114" id="paren.148"/>. This suggests that the high water-solubility of methanol plays a key role in determining its deposition, i.e. that the <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> term is dominant in the resistance expressions of Eqs. (<xref ref-type="disp-formula" rid="Ch1.E19"/>)–(<xref ref-type="disp-formula" rid="Ch1.E21"/>). Here, we adopt a high value of <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula>) based on an evaluation of the dry deposition scheme against deposition velocities estimated from flux measurement campaigns at 13 sites, among which 8 temperate or boreal forest sites, 2 tropical forest sites, and 3 sites at other temperate ecosystems (Table S3). We adopt <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, but as expected, this parameter has only a very minor impact within its expected range (0–1).</p>
      <p id="d2e5005">At 9 out of the 13 studies, night-time deposition velocities are reported, while 24 <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> averages are estimated at the other sites. The meteorological fields used in the deposition scheme are obtained from hourly ERA5 fields for the months and years of the campaign measurements, except at one site (Blodgett in 1999) for which 2003–2013 averages are used. We use the LAI values reported for each site, when available, or from the MODIS Collection 6 dataset (at 0.5° spatial resolution) used in MAGRITTE. Table S3 and Fig. <xref ref-type="fig" rid="F4"/> summarize the model evaluation. On average, the model performs very well, with a negative bias of only 7 <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> against the average observed <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for all sites  (0.82 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The model correlates well with the observations (Pearson's coefficient of 0.72) and most model predictions fall within 40 <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the measurements. One notable exception is a coniferous forest site in Finland, where the model value (1.34 <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) overestimates the measurement-based <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (0.3 <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx78" id="paren.149"/> by a large factor, for reasons unclear. Part of the discrepancy might be due to the model calculating <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> at the first model layer (<inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> above the surface), i.e. well below the highest measurement altitude (<inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mn mathvariant="normal">67</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>). More work would be needed to investigate the reasons for this difference. At the other sites, part of the variability between the sites appears related to the role of humidity: the highest <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>d</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) are observed (and modelled) at very humid forest sites (Vielsalm, Blodgett and Duke forest), whereas very low <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>d</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values (<inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) are found at drier locations (Bosco Fontana, Italy and Ozarks, Missouri). The distribution and seasonal variation of the calculated deposition velocities for 2013 are displayed on Fig. S3.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e5216"> Scatter plot of observed and modelled <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> dry deposition velocity in <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The locations of the dry deposition measurement campaigns, dominant plant functional types, site coordinates, leaf area index, observed and simulated dry deposition velocities, and the corresponding references are summarised in Table S3. The symbols refer to the type of biome, coniferous (red circles), broadleaf deciduous (brown triangles), tropical forests (green triangles) and grasslands and wetlands (blue diamonds). The mean observed and modelled deposition velocities are also given, as well as Pearson's correlation coefficient (<inline-formula><mml:math id="M233" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>).</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f04.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Inversion based on aircraft data</title>
      <p id="d2e5271">Similar to our previous work aimed at validating spaceborne <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi></mml:mrow></mml:math></inline-formula> columns using aircraft in situ data, the MAGRITTE model and its inverse modelling capability are used to generate <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> model distribution closely approximating aircraft observations from three campaign datasets over the US (Table <xref ref-type="table" rid="T1"/>). The methanol emissions used in the model are adjusted in order to minimise a cost function (<inline-formula><mml:math id="M236" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula>) quantifying the discrepancy between model and data, 

                <disp-formula id="Ch1.E22" content-type="numbered"><label>15</label><mml:math id="M237" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>J</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">f</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mfenced open="[" close="]"><mml:mrow><mml:mo>(</mml:mo><mml:mi>H</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">f</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mi mathvariant="bold-italic">y</mml:mi><mml:msup><mml:mo>)</mml:mo><mml:mi>T</mml:mi></mml:msup><mml:msup><mml:mi mathvariant="bold">E</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>(</mml:mo><mml:mi>H</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">f</mml:mi><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="bold-italic">f</mml:mi><mml:mi>T</mml:mi></mml:msup><mml:msup><mml:mi mathvariant="bold">B</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant="bold-italic">f</mml:mi></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M238" display="inline"><mml:mi mathvariant="bold-italic">f</mml:mi></mml:math></inline-formula> is the vector of emission parameters, <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">f</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the model operator acting on <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">f</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="bold-italic">y</mml:mi></mml:mrow></mml:math></inline-formula> is the observation vector, and <inline-formula><mml:math id="M241" display="inline"><mml:mi mathvariant="bold">E</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M242" display="inline"><mml:mi mathvariant="bold">B</mml:mi></mml:math></inline-formula> are the covariance matrices of the errors on the observations and the emission parameters, respectively. <inline-formula><mml:math id="M243" display="inline"><mml:mi mathvariant="bold-italic">y</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mi>H</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">f</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are campaign-averaged mixing ratios at each model pixel (<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>) for which observations are available. The model averages are based on model values at the same times and locations as the measurements.</p>
      <p id="d2e5485">The monthly averaged emission from either anthropogenic, pyrogenic or biogenic category is expressed as

                <disp-formula id="Ch1.E23" content-type="numbered"><label>16</label><mml:math id="M246" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi>G</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="bold-italic">f</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>m</mml:mi></mml:munderover><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes the a priori emission at a single pixel and month. The emission at a given pixel is not optimised when its maximum value over the course of the year is lower than a threshold of <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, which is sufficiently low that the emission of most pixels are optimised over the contiguous US.</p>
      <p id="d2e5599">The matrix <inline-formula><mml:math id="M249" display="inline"><mml:mi mathvariant="bold">E</mml:mi></mml:math></inline-formula> is assumed diagonal. The total uncertainty is obtained by quadratically adding a <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> relative uncertainty corresponding to the instrumental uncertainty (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>) and a 200 <inline-formula><mml:math id="M251" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pptv</mml:mi></mml:mrow></mml:math></inline-formula> absolute error. The latter is higher than the limit of detection <xref ref-type="bibr" rid="bib1.bibx111" id="paren.150"><named-content content-type="pre">100 <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">pptv</mml:mi></mml:mrow></mml:math></inline-formula>,</named-content></xref> but gives more weight to higher <inline-formula><mml:math id="M253" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> abundances in the cost function.</p>
      <p id="d2e5658">The errors on all emission parameters are assumed to be a factor of 3. Anthropogenic emission parameters from pixels in the same country are weakly correlated (coefficient of 0.1), whereas parameters for different countries are not correlated. For biogenic and pyrogenic emissions, a decorrelation length of 500 <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> is used. The cost function is minimised using an quasi-Newton optimisation algorithm involving the calculation of the gradient of the cost function by the adjoint of the model. The iterative search for the minimum is stopped when the norm of the gradient of the cost <inline-formula><mml:math id="M255" display="inline"><mml:mi>J</mml:mi></mml:math></inline-formula> is decreased by a factor of 30. This criterion is generally reached after 20 iterations.</p>
      <p id="d2e5677">Simulations start on 1 July 2011 and last 2.5 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula>. The optimised <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> distributions are used to calculate, for each campaign, a campaign-average gridded column distribution accounting for the sampling times and averaging kernels of the IASI retrievals. Those columns are evaluated against the corresponding IASI columns at the locations of the aircraft measurements aggregated onto the model grid. Model pixels with less than 30 IASI measurements, or less than 10 aircraft measurements are excluded from analysis.</p>
</sec>
<sec id="Ch1.S2.SS7">
  <label>2.7</label><title>Inversion based on satellite data</title>
      <p id="d2e5709">methodology presented in the previous section is used to optimise terrestrial methanol emissions at the global scale, based on monthly-average bias-corrected <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> columns gridded at the model resolution (<inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>). Since our focus is on terrestrial emissions, we exclude IASI data over oceans. In addition, we filter out very uncertain data (relative retrieval error larger than 100 <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) as well as low <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> monthly columns (<inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">16</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> after bias correction) for which the IASI bias is not well characterised (see Sect. <xref ref-type="sec" rid="Ch1.S3"/>). Although the fluxes from three emission categories are inferred simultaneously, their distinction is uncertain. The biogenic flux being strongly dominant, the optimisation is not expected to provide much constraint on the other categories (anthropogenic and pyrogenic), except at few locations/times such as large fire events. Another limitation of the framework stems from uncertainties in methanol losses, in particular the dry deposition sink of which the spatial distribution over land resembles that of the biogenic emission (Fig. <xref ref-type="fig" rid="F3"/>). Marine methanol exchanges and the photochemical production have also their uncertainties, but their impact on top-down terrestrial emissions should be limited due to their minor relevance for methanol columns over source regions <xref ref-type="bibr" rid="bib1.bibx16" id="paren.151"/>.</p>
      <p id="d2e5798">Separate inversions are performed for each year between 2008–2019, and each simulation starts on 1 July of the year preceding the target  year. For consistency between the different years and with the validation exercise, we use only IASI data from MetOp-A. The IASI column uncertainty is obtained by quadrature addition of the IASI retrieval uncertainty and an absolute error taken to be <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mn mathvariant="normal">15</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>. The retrieval error (for monthly averaged columns at the model resolution) falls typically within the 5 <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–15 <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> range in tropical regions and in summer at mid-latitudes, but reaches <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> at mid-latitudes during winter and even higher values over snow-covered areas. The MAGRITTE monthly-averaged columns are calculated from daily values accounting for the number of measurements and averaging kernels for each day and for the sampling time (<inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">09</mml:mn></mml:mrow></mml:math></inline-formula>:30 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">LT</mml:mi></mml:mrow></mml:math></inline-formula>) of observations. Figure <xref ref-type="fig" rid="F5"/> illustrates the impact of averaging kernels on the modelled columns. Since the total column averaging kernel (AVK) increases steeply with altitude (Fig. <xref ref-type="fig" rid="F1"/>), application of the AVK to the model profiles increases the columns wherever the model profile shape shows higher values in the mid- and upper troposphere, compared to the methanol profile used as a priori in the retrievals. Over tropical regions, the application of averaging kernels increases the columns, by up to 70 <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, likely due to the mixing of lower tropospheric methanol to higher altitudes promoted by deep convection. The opposite effect is evident at mid-latitudes during boreal winter, where decreases reaching a factor of 2 are found in remote continental areas.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e5894"> Ratio of the seasonally-averaged methanol columns from the prior simulation (2008–2019 average), calculated with averaging kernels, by the values calculated without averaging kernels. <bold>(a)</bold> December–January–February, <bold>(b)</bold> June–July–August.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f05.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>IASIv4 <inline-formula><mml:math id="M270" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> evaluation against aircraft-constrained model columns</title>
      <p id="d2e5932">Here we evaluate IASI against aircraft data, using MAGRITTE as transfer standard. Figure <xref ref-type="fig" rid="F6"/> illustrates the geographical distribution of vertically-averaged <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios from the three campaigns. By far the highest values were observed during SENEX, largely because of the higher proportion of low-altitude measurements in this campaign (72 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> below 1.5 <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) compared to DC3 (15 <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) and SEAC<sup>4</sup>RS (35 <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>). The vertical distribution of methanol (Fig. <xref ref-type="fig" rid="F7"/>) shows indeed a maximum (ca. 4–7 <inline-formula><mml:math id="M277" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:mrow></mml:math></inline-formula>) in the boundary layer, and a substantial decline in the free troposphere, down to 1–2 <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppbv</mml:mi></mml:mrow></mml:math></inline-formula> above 6 <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, a feature well reproduced by the model. However, the simulation using a priori emissions underestimates the observations by <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>–50 <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> during SENEX and DC3. During SEAC<sup>4</sup>RS, model overestimations are seen over the southeast, and underestimations elsewhere. The largest underestimations are found over the US. midwest, reaching a factor of <inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> during DC3 and SEAC<sup>4</sup>RS (Fig. <xref ref-type="fig" rid="F6"/>). Similar, or even larger underestimations were obtained in previous model evaluations against aircraft campaigns over western US <xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx105 bib1.bibx24" id="paren.152"/>.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e6077"> Campaign-averaged distributions of observed <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (average below 9 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude) from the aircraft campaigns <bold>(a)</bold> DC3 (DC8), <bold>(b)</bold> SENEX, and <bold>(c)</bold> SEAC<sup>4</sup>RS, and corresponding model distributions <bold>(d–f)</bold> from the a priori model simulation and <bold>(g–i)</bold> from the aircraft-constrained inversion. Pearson's coefficients of correlation (<inline-formula><mml:math id="M288" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) of the modelled with the observed mixing ratios are also given.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f06.png"/>

      </fig>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e6142"> Campaign-averaged vertical profiles of observed <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (symbols) from 4 airborne measurement datasets over the US: <bold>(a)</bold> DC3 (DC8), <bold>(b)</bold> DC3 (GV), <bold>(c)</bold> SENEX, and <bold>(d)</bold> SEAC<sup>4</sup>RS. Dotted lines: corresponding profiles from the a priori model simulation; red lines: aircraft-constrained inversion. The error bars denote the standard deviation of the observations. The number of data per altitude bin is shown on the right of each plot. The average observed and modelled mixing ratios below 8 <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude are given for each campaign. Data from panel <bold>(b)</bold> (DC3 GV) were not used as constraint in the emission optimisation.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f07.png"/>

      </fig>

      <p id="d2e6197">The optimised model using adjusted <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> emissions reproduces very well the observations (Figs. <xref ref-type="fig" rid="F6"/> and <xref ref-type="fig" rid="F7"/>), with spatial correlation coefficients of 0.97–0.98 for all campaigns, and negative biases of 1 <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–3 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> for SENEX and SEAC<sup>4</sup>RS, and 7.5 <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> for DC3. This agreement is achieved through a substantial increase of summertime methanol emissions over the western US, reaching factors of 2–3 between western Texas and Wyoming (Fig. S4). Small decreases are inferred over large parts of eastern US. Since the emission parameters are under-constrained by the inversion due to the poor coverage of the observations, the optimised emissions have limited reliability and are strongly dependent on the a priori inventories and inversion setup. Nevertheless, the excellent agreement of the optimised model with not only the observational datasets used as constraint in the inversion (Fig. <xref ref-type="fig" rid="F7"/>a, c, and d), but also with the TOGA <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> measurements on board the GV aircraft during the DC3 campaign (Fig. <xref ref-type="fig" rid="F7"/>b) demonstrates that the optimisation successfully derived a methanol distribution closely reproducing the airborne observations.</p>
      <p id="d2e6268">The linear regression of the observed and simulated concentrations yields a slope of almost 1 (0.98) and a correlation coefficient of 0.98. However, the comparison of IASI and co-located aircraft-constrained model columns (Fig. <xref ref-type="fig" rid="F8"/>) shows significant biases. High IASI columns (<inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">25</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) are underestimated by up to a factor of <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula>. This underestimation of high columns is consistent across the three campaigns. The statistics of the comparison are improved when the averaging kernels are applied to the model profiles: in particular, the correlation coefficient increases from <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.81</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.85</mml:mn></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e6339"> Scatter plots of modelled and observed <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> columns from three aircraft campaigns (SENEX, SEAC<sup>4</sup>RS and DC3 (DC8)). The modelled values are constrained by the aircraft measurements through an emission optimisation as described in the main text. In panel <bold>(a)</bold>, the model columns are calculated without applying the averaging kernels (AKs), whereas in <bold>(b)</bold>, the AKs are applied to the model vertical profiles to compute the columns. Each symbol represents campaign-averaged methanol columns at a model pixel. The correlation coefficients and regression parameters using the Theil-Sen estimator are given in each panel, as well as the median normalized bias (MNB), defined as the median of (<inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mtext>IASI</mml:mtext></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mtext>Model</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula>.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f08.png"/>

      </fig>

      <p id="d2e6404">An ordinary linear regression of IASI and aircraft-constrained model columns yields

              <disp-formula id="Ch1.E24" content-type="numbered"><label>17</label><mml:math id="M305" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mtext>IASI</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.46</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mtext>airc</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">10.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mtext>IASI</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mtext>airc</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are the <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> columns (<inline-formula><mml:math id="M309" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) from IASI and from the aircraft-constrained model simulation, respectively. The 1–<inline-formula><mml:math id="M310" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> uncertainty is 0.03 for the slope and <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the intercept. The regression suggests a moderate overestimation of IASI columns in the range <inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, although the data is too limited to draw firm conclusions. Below that range, the bias remains uncharacterised by the aircraft data used in this study.</p>
      <p id="d2e6588">The reasons for the IASI biases with respect to aircraft in situ data and for their dependence on the magnitude of the columns are yet unclear. Qualitatively similar biases were derived from the evaluation of OMI and TROPOMI <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> columns against aircraft and FTIR data <xref ref-type="bibr" rid="bib1.bibx101 bib1.bibx68" id="paren.153"/>. The estimated in situ measurement uncertainties are clearly too low (<inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, see Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>) to fully account for the biases derived above, although they could contribute; furthermore, the model biases against the PTR-Q-MS data of the DC3 campaign are validated by the good consistency between the model evaluation against PTR-Q-MS (DC8) and TOGA (GV) measurements from this campaign (Fig. <xref ref-type="fig" rid="F7"/>a and b). We verified that the above results are only minimally affected by the filtering of urban and pyrogenic plumes mentioned in Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>. Without these filters, the slope (0.45) and intercept (<inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:mn mathvariant="normal">10.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) of the above relationship are essentially unchanged. Evaluation against measurements in other regions and using other techniques would be needed to confirm and refine the biases derived in this work.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>The methanol budget and distribution based on bias-corrected IASI data</title>
      <p id="d2e6651">Here, we derive top-down methanol emissions based on bias-corrected IASI columns (<inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mrow><mml:mtext>IASI</mml:mtext><mml:mo>,</mml:mo><mml:mtext>BC</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) calculated (see Eq. <xref ref-type="disp-formula" rid="Ch1.E24"/>) with

              <disp-formula id="Ch1.E25" content-type="numbered"><label>18</label><mml:math id="M320" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mtext>IASI,BC</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">Ω</mml:mi><mml:mtext>IASI</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">0.46</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e6713">Figure <xref ref-type="fig" rid="F9"/> displays the seasonally averaged <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> columns from IASI (bias-corrected), the a priori model simulation and the IASI-based emission optimisation. The seasonal cycle of the columns over large regions is shown on Fig. S5. The a priori model succeeds in reproducing the general features of the satellite observations, such as high columns (<inline-formula><mml:math id="M322" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:mn mathvariant="normal">90</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) throughout the year over tropical continents, and a pronounced summertime peak at extratropical latitudes, consistent with previous spaceborne methanol distributions <xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx22 bib1.bibx106" id="paren.154"/>. Both the a priori model and the IASI data display a substantial longitudinal gradient of methanol columns over northern Eurasia during summer, with low values over western Europe and a broad maximum over eastern Siberia. There are also important differences between IASI and the a priori model, most notably a large model underestimation at extratropical northern latitudes during all seasons, reaching a factor of about 2 over Central Asia, Siberia and Canada during summer, and an overestimation of the columns over Amazonia near the end of the wet season (May–July, see Fig. S5). Furthermore, although the a priori model columns peak at the same month as the satellite data at mid-latitudes (most often July), the model underestimations are more pronounced during spring and early summer (i.e. May–July) than in the following months (August–October), in particular over the US, China and Europe (Fig. S5).</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e6785"> 2008–2019 average of <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> columns (<inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) from <bold>(a)</bold> IASI (bias-corrected as described in the text), <bold>(b)</bold> the a priori model and <bold>(c)</bold> the model with optimised emissions, for December–January–February. Panels <bold>(d–f)</bold>, <bold>(g–i)</bold>, and <bold>(j–l)</bold> are as <bold>(a–c)</bold> but for March–April–May, June–July–August and September–October–November, respectively.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f09.png"/>

      </fig>

      <p id="d2e6856">The emission optimisation successfully closes the gap between the model and the observations, in particular over tropical regions and at extratropical latitudes during summer (Figs. <xref ref-type="fig" rid="F9"/> and S5). During winter at high northern latitudes, however, the large a priori model underestimation remains unchanged after optimisation. This is explained by the weakness of methanol emissions and by the low number of IASI measurements used in the optimisation at these latitudes during winter, compared to other latitudes and seasons (Fig. S6). Similar results were obtained by <xref ref-type="bibr" rid="bib1.bibx105" id="text.155"/> in their emission optimisation based on <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> column data from TES. Interestingly, although the focus of our study is on continental areas, the agreement of MAGRITTE methanol columns with IASI is also substantially improved over oceanic areas (Fig. S5p–s) after inversion, especially at extratropical latitudes (except in winter).</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e6879"> Ratio of top-down to a priori emissions (2008–2019 averages) for <bold>(a)</bold> pyrogenic and <bold>(b)</bold> biogenic <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> emissions.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f10.png"/>

      </fig>

      <p id="d2e6907">This improved agreement with IASI data is primarily achieved through changes in the distribution of biogenic methanol emissions (Fig. <xref ref-type="fig" rid="F10"/>). The biogenic emissions are strongly enhanced over North America and most of Eurasia after inversion, while biogenic emissions due to tropical forests are generally decreased, in particular over Amazonia and Indonesia, and emissions due to tropical savanna over Africa, Australia and eastern Brazil are increased (Fig. <xref ref-type="fig" rid="F3"/>). As in previous inversion studies <xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx105" id="paren.156"/>, the strongest enhancements (up to a factor 5) are derived over arid and semi-arid landscapes such as Central Asia, Western US and the Sahel region (Figs. <xref ref-type="fig" rid="F10"/> and <xref ref-type="fig" rid="F11"/>). This underestimation might partly result from the neglect of soil emissions in MEGAN. Soils (including litter decomposition) are indeed a known methanol source <xref ref-type="bibr" rid="bib1.bibx102" id="paren.157"/>, and although their contribution is generally considered to be small, typically 1–2 orders of magnitude lower than foliage emissions <xref ref-type="bibr" rid="bib1.bibx77" id="paren.158"/>, they might be more significant over sparsely vegetated areas characterised by low LAI.</p>
      <p id="d2e6928">The biogenic emission enhancement at mid-latitudes is highest in spring (Fig. S7), and especially in May (Fig. <xref ref-type="fig" rid="F11"/>). The underestimation of springtime emissions was previously noted by e.g. <xref ref-type="bibr" rid="bib1.bibx104" id="text.159"/>. The resulting top-down biogenic emissions peak earlier than in the MEGAN inventory, in particular over Europe, Eastern US, China and Central Asia. Boreal regions do not follow this trend, with emission enhancements of similar magnitudes being derived over spring, summer and fall over these regions (Fig. S7). However, the large emission increase during fall (and to a lesser extent during summer) inferred over boreal forests is partly explained by the strong deposition sink (Fig. S3). Since the deposition velocities might be overestimated over boreal forests (Sect. <xref ref-type="sec" rid="Ch1.S2.SS5.SSS5"/>), the top-down emissions might be also too high, especially during fall. In fact, in spite of the large emission enhancement derived over Siberia, the net emission flux over this region (Fig. <xref ref-type="fig" rid="F11"/>) is lower than the a priori (MEGAN) gross flux.</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e6942"> Seasonal cycle of emissions (<inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) over large regions (2008–2019 averages). Black and red solid lines: gross total emission fluxes from the a priori and optimised runs (sum of biogenic, pyrogenic, oceanic and anthropogenic contributions); black and red dotted lines: net emission fluxes, i.e. dry deposition (including ocean uptake) is subtracted from the gross fluxes; dash-dotted and solid blue lines: a priori and top-down biomass burning fluxes.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f11.png"/>

      </fig>

      <p id="d2e6969">The seasonal cycle of terrestrial emissions undergoes important changes after optimisation over tropical ecosystems (Fig. <xref ref-type="fig" rid="F11"/>). Over both Northern Hemisphere (NH) Africa and southern Hemisphere (SH) Africa, the biogenic emissions are decreased (by <inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) at the start of the biomass burning season (November–December in NH, June–July in SH), while these emissions are strongly enhanced (by up to 70 <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–100 <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) in the following months (February–June in NH, August–January in SH), until after the end of the burning season. The optimisation also shifts by one month the seasonal peak of pyrogenic emission over SH Africa (from July in the a priori to August in the optimisation, see Fig. <xref ref-type="fig" rid="F11"/>), although, as explained above (Sect. <xref ref-type="sec" rid="Ch1.S2.SS7"/>), the dominance of the biogenic flux makes the top-down results uncertain for biomass burning emissions.</p>
      <p id="d2e7013">The top-down biogenic emissions over tropical ecosystems are strongly correlated with temperature and especially solar radiation. Over each of the 5 tropical regions shown on Fig. <xref ref-type="fig" rid="F11"/>f–g, the two least-emitting months according to the inversion are the months with the lowest visible radiation fluxes, based on the ERA5 reanalysis. For example, over Amazonia, the lowest monthly biogenic fluxes (0.54 and 0.61 <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">month</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, about a factor of two below the annual average) are derived in May and June, which are the months with the lowest visible radiation fluxes (<inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">85</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, 12 <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> below the annual average). The same holds for S.-E. Asia and NH Africa (panels f–g), for which the minimum occurs in November–December, and for Equatorial and Southern Africa (h–i), which have their minimum in June–July.  At all 5 tropical regions, the top-down monthly biogenic emissions correlate strongly with solar visible radiation fluxes, with Pearson's correlation coefficients ranging between 0.79 (Amazonia) and 0.94 (SH Africa). A strong correlation is also found between biogenic emissions and near-surface temperature over NH Africa (0.92) and SH Africa (0.84). At the other regions (panels f, h, and j), the temperature variations are weak (standard deviation of <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>) and therefore likely less relevant for biogenic emission variability.</p>
      <p id="d2e7080">Radiation fluxes and temperature appear to exert a stronger control on biogenic emissions of methanol than is currently accounted for in MEGAN. This control is likely indirect, i.e. phenological changes associated with the seasonal cycle of meteorological variables likely cause variations in the emissions that are currently not represented in the model parametrisations. Over Amazonia, leaf flushing during the wet-to-dry transition period has been suggested to explain a strong reduction of isoprene emissions around May every year <xref ref-type="bibr" rid="bib1.bibx14" id="paren.160"/>, and was also proposed to decrease methanol emissions in July <xref ref-type="bibr" rid="bib1.bibx106" id="paren.161"/>. The growth of new leaves after the wet-to-dry transition period might cause an enhancement of methanol emissions, since young leaves are known to emit at higher rates than mature leaves. However, the MODIS LAI dataset indicates only a moderate and progressive increase of LAI during this period, from <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4.2</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5.2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> between February and September. Since the parametrisation of the leaf age response factor in MEGAN (<inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>age</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) relies on the temporal variation of LAI between time steps, the proportion of new or growing leaves calculated in this way is very small, and <inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">γ</mml:mi><mml:mtext>age</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is close to unity. More work is needed to understand the impact of phenological changes on methanol emissions, and how these changes can be represented in emission models.</p>
      <p id="d2e7148">The global top-down biogenic emission flux is 160 <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, i.e. 23 <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> higher than our a priori from MEGAN (130 <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), and almost 60 <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> higher than previous top-down estimates based on in situ data <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx16" id="paren.162"/> or spaceborne IASI columns <xref ref-type="bibr" rid="bib1.bibx92" id="paren.163"/> (Table <xref ref-type="table" rid="T2"/>). The total terrestrial emissions, amounting to 178 <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> globally, are also 46 <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> higher than the top-down best estimate of 122 <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> based on TES column retrievals <xref ref-type="bibr" rid="bib1.bibx105" id="paren.164"/>. The optimisation leads to very small changes in the anthropogenic and pyrogenic emission categories, not exceeding a few percent at the global scale (Table <xref ref-type="table" rid="T2"/>).</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e7261">Global methanol  budget (<inline-formula><mml:math id="M348" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>)</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) averaged over 2008–2019 in the a priori simulation and after optimisation of emissions based on bias-corrected IASI data, and comparison with previous budget studies constrained by atmospheric observations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Millet et al.</oasis:entry>
         <oasis:entry colname="col3">Stavrakou et al.</oasis:entry>
         <oasis:entry colname="col4">Wells et al.</oasis:entry>
         <oasis:entry colname="col5">Bates et al.</oasis:entry>
         <oasis:entry colname="col6">This study</oasis:entry>
         <oasis:entry colname="col7">This study</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(2008)</oasis:entry>
         <oasis:entry colname="col3">(2011)</oasis:entry>
         <oasis:entry colname="col4">(2014)</oasis:entry>
         <oasis:entry colname="col5">(2021)</oasis:entry>
         <oasis:entry colname="col6">(a priori)</oasis:entry>
         <oasis:entry colname="col7">(optimisation)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col7" align="center"><italic>Sources</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Total source</oasis:entry>
         <oasis:entry colname="col2">242</oasis:entry>
         <oasis:entry colname="col3">187</oasis:entry>
         <oasis:entry colname="col4">225</oasis:entry>
         <oasis:entry colname="col5">205</oasis:entry>
         <oasis:entry colname="col6">243</oasis:entry>
         <oasis:entry colname="col7">271</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Biogenic</oasis:entry>
         <oasis:entry colname="col2">103</oasis:entry>
         <oasis:entry colname="col3">100</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">101</oasis:entry>
         <oasis:entry colname="col6">131</oasis:entry>
         <oasis:entry colname="col7">160</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Anthropogenic</oasis:entry>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">9.3</oasis:entry>
         <oasis:entry colname="col4">122<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">6.3</oasis:entry>
         <oasis:entry colname="col6">10.5</oasis:entry>
         <oasis:entry colname="col7">10.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Biomass burning</oasis:entry>
         <oasis:entry colname="col2">12</oasis:entry>
         <oasis:entry colname="col3">4.3</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">13</oasis:entry>
         <oasis:entry colname="col6">7.8</oasis:entry>
         <oasis:entry colname="col7">7.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Oceanic</oasis:entry>
         <oasis:entry colname="col2">85</oasis:entry>
         <oasis:entry colname="col3">43</oasis:entry>
         <oasis:entry colname="col4">66</oasis:entry>
         <oasis:entry colname="col5">24</oasis:entry>
         <oasis:entry colname="col6">47</oasis:entry>
         <oasis:entry colname="col7">47<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Secondary production</oasis:entry>
         <oasis:entry colname="col2">37</oasis:entry>
         <oasis:entry colname="col3">31</oasis:entry>
         <oasis:entry colname="col4">37</oasis:entry>
         <oasis:entry colname="col5">60</oasis:entry>
         <oasis:entry colname="col6">46</oasis:entry>
         <oasis:entry colname="col7">46<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col7" align="center"><italic>Sinks</italic></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Atmospheric oxidation</oasis:entry>
         <oasis:entry colname="col2">88</oasis:entry>
         <oasis:entry colname="col3">108</oasis:entry>
         <oasis:entry colname="col4">70</oasis:entry>
         <oasis:entry colname="col5">116</oasis:entry>
         <oasis:entry colname="col6">119</oasis:entry>
         <oasis:entry colname="col7">132</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Ocean uptake</oasis:entry>
         <oasis:entry colname="col2">101</oasis:entry>
         <oasis:entry colname="col3">48</oasis:entry>
         <oasis:entry colname="col4">73</oasis:entry>
         <oasis:entry colname="col5">38</oasis:entry>
         <oasis:entry colname="col6">59</oasis:entry>
         <oasis:entry colname="col7">61</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wet deposition</oasis:entry>
         <oasis:entry colname="col2">13</oasis:entry>
         <oasis:entry colname="col3">3</oasis:entry>
         <oasis:entry colname="col4">9.5</oasis:entry>
         <oasis:entry colname="col5">11</oasis:entry>
         <oasis:entry colname="col6">6.3</oasis:entry>
         <oasis:entry colname="col7">6.5</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Dry deposition to land</oasis:entry>
         <oasis:entry colname="col2">40</oasis:entry>
         <oasis:entry colname="col3">28</oasis:entry>
         <oasis:entry colname="col4">26</oasis:entry>
         <oasis:entry colname="col5">41</oasis:entry>
         <oasis:entry colname="col6">59</oasis:entry>
         <oasis:entry colname="col7">72</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Burden <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="unit"><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Tg</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">3.1</oasis:entry>
         <oasis:entry colname="col3">2.9</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">3.0</oasis:entry>
         <oasis:entry colname="col6">3.1</oasis:entry>
         <oasis:entry colname="col7">3.4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lifetime <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="unit"><mml:mo>(</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">4.7</oasis:entry>
         <oasis:entry colname="col3">5.7</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">5.3</oasis:entry>
         <oasis:entry colname="col6">4.7</oasis:entry>
         <oasis:entry colname="col7">4.5</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e7293">Notes:  <sup>a</sup>: Sum of biogenic, anthropogenic and  biomass burning sources in <xref ref-type="bibr" rid="bib1.bibx105" id="text.165"/>. <sup>b</sup>: The oceanic source and atmospheric photochemical production are not optimised in this study.</p></table-wrap-foot></table-wrap>

      <p id="d2e7750">Despite the large enhancement of methanol emissions inferred in this study, the global atmospheric burden of methanol, 3.4 <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi></mml:mrow></mml:math></inline-formula> in our optimisation, is only slightly higher (by 9 <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–17 <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) than in previous modelling studies constrained by observations (Table <xref ref-type="table" rid="T2"/>). The larger methanol loading (by 17 <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) compared to the IASI-based inversion by <xref ref-type="bibr" rid="bib1.bibx92" id="text.166"/> is largely due to the bias correction of IASI data (Eq. <xref ref-type="disp-formula" rid="Ch1.E25"/>), leading to column increases of the order of 30 <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> over source regions (Sect. <xref ref-type="sec" rid="Ch1.S3"/>). The main reason for the larger enhancement of terrestrial emissions, compared to previous inversion studies, is the sink due to dry deposition over land, 72 <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> globally, about a factor of 2.6 larger than in the inversion studies of <xref ref-type="bibr" rid="bib1.bibx92" id="text.167"/> and <xref ref-type="bibr" rid="bib1.bibx105" id="text.168"/>, but very close to a global sink estimate based on in situ <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> measurements and a dry deposition velocity of 0.4 <inline-formula><mml:math id="M363" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (70 <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <xref ref-type="bibr" rid="bib1.bibx42" id="altparen.169"/>). The global lifetime of atmospheric methanol with respect to dry deposition over land is <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>, well below the range of reported values, 26–38 <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx63 bib1.bibx92 bib1.bibx16" id="paren.170"/>. Due to this strong sink, the net terrestrial source of methanol inferred here is only slightly (<inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) larger than in the inversion studies of <xref ref-type="bibr" rid="bib1.bibx92" id="text.171"/> and <xref ref-type="bibr" rid="bib1.bibx105" id="text.172"/>. As seen on Fig. <xref ref-type="fig" rid="F11"/>, the gross top-down emission fluxes over forested regions such as Amazonia, Equatorial Africa and Siberia (14.7, 7.3, and 9.4 <inline-formula><mml:math id="M370" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively) are up to a factor of 3 higher than the net surface fluxes accounting for dry deposition (5.4, 2.6, and 3.2 <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Over less productive ecosystems, including regions with large biomass burning fluxes, the gross and net fluxes are more similar, but still significantly different, e.g. by factors of 1.4–1.6 for Central Asia, North Africa and South Africa. At global scale, dry deposition over land offsets about 45 <inline-formula><mml:math id="M372" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the biogenic emission flux (Table <xref ref-type="table" rid="T2"/>).</p>
      <p id="d2e7978">The deposition velocities computed in this work, typically between 0.2–1.6 <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> over vegetated areas (Fig. S3) are well-supported by measurement-based estimates (Fig. <xref ref-type="fig" rid="F4"/>), except for a large overestimation at a boreal forest site (Hyytiälä) (Sect. <xref ref-type="sec" rid="Ch1.S2.SS5.SSS5"/>). The large dry deposition sink inferred by the model over boreal forests is therefore likely overestimated, and the biogenic emission enhancement at high latitudes (Fig. <xref ref-type="fig" rid="F10"/>) might also be too high. Elsewhere, however, the strong dry deposition sink is consistent with available data. Over the tropical forests of Amazonia, Central Africa, Indonesia and southeast Asia, and even over Europe and eastern US, dry deposition is found to be a stronger sink of methanol than chemical oxidation due to reaction with <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F3"/>).</p>
      <p id="d2e8015">The optimised methanol budget presented in Table <xref ref-type="table" rid="T2"/> bears uncertainties due to potential errors in the IASI data used as constraints and because, while terrestrial emissions are optimised, the other productions and the sinks of methanol have their own uncertainties. In particular, oceanic emissions depend on assumed seawater methanol concentrations for which available field campaign data show a very strong variability <xref ref-type="bibr" rid="bib1.bibx16" id="paren.173"/>. Replacing the seawater concentration adopted in the model (Sect. <xref ref-type="sec" rid="Ch1.S2.SS5.SSS4"/>) by the value of 61 <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nmol</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">L</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> determined by <xref ref-type="bibr" rid="bib1.bibx16" id="text.174"/> based on an analysis of ATom data would decrease the oceanic emission flux from 47 <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> globally to 24 <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, in excellent agreement with <xref ref-type="bibr" rid="bib1.bibx16" id="text.175"/>. The photochemical production of methanol due to the <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> reaction is also uncertain; for example, adoption of a fixed methanol yield of 13 <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> from the reaction <xref ref-type="bibr" rid="bib1.bibx16" id="paren.176"/>, in place of the current model assumptions (Sect. <xref ref-type="sec" rid="Ch1.S2.SS5.SSS2"/>), would increase the global <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> production by <inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>. However, the impact of these uncertainties on the optimisation of continental emissions is very small. A sensitivity inversion performed for one year (2017) for which the marine source and the methanol yield from <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> both follow the recommendations of <xref ref-type="bibr" rid="bib1.bibx16" id="text.177"/> leads to negligible impacts on top-down terrestrial emissions (<inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> compared to the standard inversion) and on dry deposition fluxes over land (<inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>), in spite of more sizeable impacts on the global <inline-formula><mml:math id="M385" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> burden (<inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.9</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, to 3.25 <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and on global oceanic uptake (<inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">19</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>, to 4.9 <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Model evaluation against in situ and ground-based remote sensing data</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Evaluation against in situ airborne data</title>
      <p id="d2e8296">Since the emission optimisations are constrained by IASI columns that are bias-corrected using aircraft data (Sect. <xref ref-type="sec" rid="Ch1.S3"/>), the model evaluation against aircraft observations is expected to improve after optimisation. Figure <xref ref-type="fig" rid="F12"/> and Table S4 show that this is indeed the case: on average for all campaigns over land (weighted by the number of data below 8 <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude), the bias is decreased from <inline-formula><mml:math id="M391" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23 <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> in the a priori simulation to <inline-formula><mml:math id="M393" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8 <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> after optimisation, and the root-mean-square-deviation (RMSD) is also decreased (Table S4). The comparison statistics are improved for all but one campaign (ARCTAS-July, see further below). Over oceans as well, the optimisation of terrestrial emissions improves the model agreement with in situ measurements from the ATom campaigns (Fig. <xref ref-type="fig" rid="F2"/>), especially at northern latitudes (<inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">25</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>, see Fig. S8). The comparisons with GoAmazon and SEAC<sup>4</sup>RS measurements support the biogenic emissions decrease over Amazonia as well as over southeastern US in late summer/early fall (Fig. S7), while the comparisons against the DC3, SENEX, ARCTAS-June and KORUS-AQ campaigns support the springtime enhancement of methanol emissions over terrestrial ecosystems at mid-latitudes (Figs. <xref ref-type="fig" rid="F11"/> and S7).</p>

      <fig id="F12" specific-use="star"><label>Figure 12</label><caption><p id="d2e8369"> Averaged vertical profiles of observed <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (symbols) from aircraft campaigns: <bold>(a)</bold> ARCTAS June, <bold>(b)</bold> ARCTAS July, <bold>(c)</bold> DC3 (DC8), <bold>(d)</bold> DC3 (GV), <bold>(e)</bold> SENEX, <bold>(f)</bold> SEAC<sup>4</sup>RS, <bold>(g)</bold> GoAmazon, and <bold>(h)</bold> KORUS. Dotted lines: corresponding profiles from the prior model simulation; red lines: IASI-based optimisation. The error bars denote the standard deviation of the observations. The number of measurements per altitude bin is indicated on the right of each plot. The average observed and modelled mixing ratios below 8 <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude are given for each campaign. Data over ocean are excluded from all averages. Only measurements over Canada (<inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">49</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>) are retained in the ARCTAS-July profile.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f12.png"/>

        </fig>

      <p id="d2e8448">The improved model agreement against KORUS-AQ is realized through substantial increases of biogenic emissions, by factors of up to 3 over Korea and up to 6 over northeastern China. The a priori anthropogenic emissions being very weak (Fig. <xref ref-type="fig" rid="F3"/>), these emissions are essentially unchanged by the inversion (<inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> increase over Beijing). <xref ref-type="bibr" rid="bib1.bibx18" id="text.178"/> showed that elevated methanol and ethanol near-surface concentrations in urban areas of South Korea and China are likely largely due to anthropogenic Volatile Chemical Products (VCPs) from the residential sector, currently missing in global emission inventories. <xref ref-type="bibr" rid="bib1.bibx18" id="text.179"/> estimated the anthropogenic <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> emissions from China alone to be 9.3 <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in 2016, two orders of magnitude above the inventory estimate used in MAGRITTE. VCP-related methanol emissions are much lower in the US due to regulations of their usage as a result of their toxicity. Part of the methanol emission increase inferred by our inversion might therefore be wrongly attributed to biogenic emissions. In the free troposphere during KORUS-AQ, the strong correlation of methanol with acetone suggested an important  biogenic contribution, however. Furthermore, the seasonal variation of top-down methanol emissions over northern China (Fig. <xref ref-type="fig" rid="F11"/>d) shows a much stronger enhancement in spring than in fall, similar to other regions at mid-latitudes and consistent with a predominantly biogenic source. Incorporation of VCP emissions in methanol emission inventories will be needed to improve the assessment of biogenic emissions over East Asia.</p>
      <p id="d2e8512">In contrast with all other campaigns, for which the model performance improves after optimisation (Table S4), the model agreement with respect to the July ARCTAS dataset deteriorates when optimised emissions are used. The emission increase inferred by the inversion reaches a factor of <inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> in the region, due to the high (bias-corrected) IASI columns (<inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">16</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) typical of Central Canada during summer (Fig. <xref ref-type="fig" rid="F9"/>). This leads to overestimated concentrations below 4<inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> altitude in comparison with both TOGA and PTR-MS measurements (Fig. <xref ref-type="fig" rid="F12"/>b). Important fire events took place in this area during this campaign, and the <inline-formula><mml:math id="M408" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">CN</mml:mi></mml:mrow></mml:math></inline-formula>-based criterion used to filter out pyrogenic influences removed <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">26</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> of the data, while also reducing the average observed mixing ratio by <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mn mathvariant="normal">21</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. A test evaluation without this filter (not shown) leads however to similar conclusions. The model overestimation for the entire methanol column below 10 <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, calculated from the vertical profiles shown on Fig. <xref ref-type="fig" rid="F12"/>b, amounts to a factor of <inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn></mml:mrow></mml:math></inline-formula>. This factor is similar to the enhancement of the IASI column due to the bias correction (factor of <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula>, see Eq. <xref ref-type="disp-formula" rid="Ch1.E25"/>). Therefore, an emission optimisation constrained by uncorrected IASI columns would likely lead to a closer agreement with the ARCTAS-July campaign, although it would worsen the comparison with all other campaigns. The reason for the singularity of ARCTAS-July is unknown.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Evaluation against in situ surface data</title>
      <p id="d2e8652">The emission optimisation also significantly improves the model comparison with surface concentrations data, as seen on Fig. <xref ref-type="fig" rid="F13"/> (also Fig. S2). The Pearson's correlation coefficient is increased from 0.66 to 0.89 after emission inversion, while Spearman's rank coefficient is increased from 0.86 to 0.89, and the median bias becomes very small. As detailed in Table S5, the large positive bias of the a priori run at the sites located in tropical forests (<inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">56</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> on average for 10 measurement campaigns) is strongly reduced, to 15 <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> after optimisation, providing additional support to the emission decrease inferred over tropical forests. Over Europe, USA, East Asia and marine sites as well, the biases are generally reduced, from respectively <inline-formula><mml:math id="M417" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16 <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M419" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17 <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M421" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>44 <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M423" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17 <inline-formula><mml:math id="M424" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> in the a priori simulations, to <inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M426" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M428" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M429" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19 <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M431" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7 <inline-formula><mml:math id="M432" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> with optimised emissions.</p>

      <fig id="F13"><label>Figure 13</label><caption><p id="d2e8814">  Scatter plots of averaged modelled and observed in situ <inline-formula><mml:math id="M433" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios at the sites listed in Table S1. Blue: model results using a priori emissions; red: IASI-based simulations. Pearson's correlation coefficient (<inline-formula><mml:math id="M434" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) and the median bias over all sites are also given.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f13.png"/>

        </fig>

      <p id="d2e8843">A further illustration of the model performance against in situ data over temperate ecosystems is provided by the comparison of modelled methanol against PTR-MS measurements at Vielsalm and Lonzée in 2009–2013 (Fig. <xref ref-type="fig" rid="F14"/>). At both sites, only a small bias remains after emission optimisation (7 <inline-formula><mml:math id="M435" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> at Vielsalm and <inline-formula><mml:math id="M436" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14 <inline-formula><mml:math id="M437" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> at Lonzée), and the model generally succeeds in reproducing the shape of the seasonal cycle (overall Pearson correlation <inline-formula><mml:math id="M438" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> of 0.84).</p>

      <fig id="F14" specific-use="star"><label>Figure 14</label><caption><p id="d2e8881"> Time series of monthly-averaged observed <inline-formula><mml:math id="M439" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> concentrations (symbols) and corresponding model results from the a priori run (dotted) and from the IASI-based optimisation (red) at <bold>(a)</bold> Vielsalm (50.305° N, 5.999° E) in 2009–2010 and <bold>(b)</bold> Lonzée (50.552° N, 4.745° E) in 2012–2013. The relative bias and root-mean squared deviation (RMS) are given for each site. The error bars denote the standard deviation of the monthly averaged data.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f14.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Evaluation against FTIR column data</title>
      <p id="d2e8917">Figure <xref ref-type="fig" rid="F15"/> displays the observed and modelled average seasonal cycle of methanol columns at the 8 FTIR stations, whereas Fig. S9 shows the full time series of monthly columns and Table S6 in the Supplement provides the summary of comparison statistics. The averaging kernels and sampling times of the measurements are accounted for in the calculation of model columns. At Porto Velho, the standard optimisation leads to an unrealistic large peak in September 2019 (Fig. <xref ref-type="fig" rid="F15"/>f) due to the monthly resolution of emission increments and to a large temporal variability of methanol columns in the course of the month. The FTIR measurements for September having been all recorded during the first 12 <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> of the month, an additional emission inversion was performed for year 2019, identical to the standard run except that IASI data between 13–30 September were excluded. The result of this inversion (dotted red line on Fig. <xref ref-type="fig" rid="F15"/>f) differs from the standard run only in September, and leads to a much improved seasonal cycle against FTIR data.</p>

      <fig id="F15" specific-use="star"><label>Figure 15</label><caption><p id="d2e8936"> Monthly <inline-formula><mml:math id="M441" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> FTIR columns (<inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) averaged over 2008–2019 (black lines and diamonds) and corresponding averages from the a priori simulation (dotted blue) and optimised model (red) at <bold>(a)</bold> Eureka, <bold>(b)</bold> St Petersburg, <bold>(c)</bold> Jungfraujoch, <bold>(d)</bold> Toronto, <bold>(e)</bold> Porto Velho, <bold>(f)</bold> St Denis, and <bold>(g)</bold>, Maïdo. The FTIR averaging kernels and sampling times are accounted for in the calculation of the model columns. The dotted red line in panel <bold>(e)</bold> denotes model columns from a test optimisation in which IASI data between 13–30 September 2019 were excluded. Panel <bold>(h)</bold> displays the average seasonal cycle of FTIR columns (2.09–14 <inline-formula><mml:math id="M443" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">a</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">s</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">l</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula>) recorded at Kitt Peak between 1985–2003 <xref ref-type="bibr" rid="bib1.bibx81" id="paren.180"/>, compared with the 2008–2019 climatological average from the model. The daily FTIR averages <xref ref-type="bibr" rid="bib1.bibx81" id="paren.181"><named-content content-type="pre">Fig. 5 of</named-content></xref> are also shown. The error bars denote the standard deviations of the monthly data.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/5375/2026/acp-26-5375-2026-f15.png"/>

        </fig>

      <p id="d2e9042">At all sites except St Petersburg, the optimisation reduces the model biases and RMSD (Table S6). Furthermore, the optimised model correlates very well with the data at all sites, with Pearson's correlation coefficients ranging from 0.78 (Eureka) to <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn></mml:mrow></mml:math></inline-formula> (Porto Velho and Kitt Peak). At the three mid-latitudes sites (Toronto, Jungfraujoch and Kitt Peak), the negative biases of the a priori run with respect to the data (between 20 <inline-formula><mml:math id="M445" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–30 <inline-formula><mml:math id="M446" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) are replaced by moderate biases (<inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> or better) and the improved seasonal cycle at Kitt Peak supports the large emission enhancement in spring and early summer at these latitudes. The low biases at Kitt Peak and Jungfraujoch contrast with the evaluation of a previous inverse modelling study constrained by IASI data at these sites <xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx12" id="paren.182"/>. At both stations, the optimised model underestimated the summertime FTIR columns by up to a factor of 1.5. The probable reasons for the improvement are multiple, including the IASI retrieval updates, the bias-correction of IASI columns, and the higher spatial resolution and longer time series considered in this work.</p>
      <p id="d2e9089">At St Petersburg, the optimised model overestimate the data (<inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M449" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>), especially during summer when the columns are high. The overestimation reaches a factor of 1.44 during May–August, when the bias correction of IASI columns (Eq. <xref ref-type="disp-formula" rid="Ch1.E25"/>, for IASI columns of <inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>) enhances the columns by a factor <inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.41</mml:mn></mml:mrow></mml:math></inline-formula>. Therefore, as for the model comparison with in situ measurements of the ARCTAS-July campaign (Sect. <xref ref-type="sec" rid="Ch1.S5.SS1"/>), an optimisation constrained by uncorrected IASI columns would have yielded a better agreement with the FTIR observations than the optimisation presented above. The similar conclusions drawn from FTIR and airborne campaign data obtained in similar environments, namely the vast area of high columns within the boreal land masses at around 60<inline-formula><mml:math id="M452" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> N during summer (Fig. <xref ref-type="fig" rid="F9"/>), strongly suggest that the bias correction derived from airborne data in Sect. <xref ref-type="sec" rid="Ch1.S3"/> is inappropriate in such environments.</p>
      <p id="d2e9170">Large model biases are also found at Porto Velho (24 <inline-formula><mml:math id="M453" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> for the 5 month average), especially in September (39 <inline-formula><mml:math id="M454" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) and October (59 <inline-formula><mml:math id="M455" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>). However, when taking into account the number of FTIR data recorded per month, lowest in September–October (46 and 7, respectively) and highest in July (286), the relative bias amounts to only 13 <inline-formula><mml:math id="M456" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, down from 37 <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> in the a priori simulation. This small remaining bias is consistent with the model evaluation against surface in situ data in tropical ecosystems (<inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M459" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> bias, Sect <xref ref-type="sec" rid="Ch1.S5.SS2"/>) and the GoAmazon campaign (negligible bias, Sect. <xref ref-type="sec" rid="Ch1.S5.SS1"/>). The comparisons at the two Reunion island stations (St Denis and Maïdo) show also small positive biases (4 <inline-formula><mml:math id="M460" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–11 <inline-formula><mml:math id="M461" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>).</p>
</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e9261">Twelve years of IASIv4 global methanol column data are used in an inverse modelling framework built on the MAGRITTEv1.2 model to propose an updated assessment of <inline-formula><mml:math id="M462" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> global distribution and terrestrial emissions. The IASIv4 dataset is generated using the ANNI version 4 retrieval framework, which incorporates several methodological advances compared to previous versions. In particular, the dataset includes total-column averaging kernels, essential to minimise the impact of vertical-profile differences in the comparisons between IASI retrievals and MAGRITTE outputs.</p>
      <p id="d2e9277">In a first step, in situ methanol observations from three extensive aircraft campaigns over the US (DC3, SENEX and SEAC<sup>4</sup>RS) are assimilated into the model to derive aircraft-constrained model distributions used to evaluate the IASI columns. The results suggest an underestimation of large IASI columns, reaching a factor of 1.41 for IASI columns of <inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mo>.</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>. The in situ measurement uncertainties are too low to account for these biases, which therefore remain unexplained.</p>
      <p id="d2e9321">The bias of IASI with respect to aircraft data is tentatively corrected through a linear relationship, and the bias-corrected IASI columns are used as constraints to optimise the terrestrial <inline-formula><mml:math id="M465" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> emissions in the MAGRITTE global model over 2008–2019. Model evaluation against nine aircraft datasets spanning 2008–2018 shows that the emission optimisation leads to a large reduction of the average bias against aircraft observations over land, from <inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">23</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> in the prior simulation to <inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8.4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> in the optimisation; the model agreement is also improved over oceans.  Similarly, the model performance against a broad compilation of surface in situ data (67 campaigns) is greatly improved, as seen from the resulting high correlation and low biases globally and regionally (less than 20 <inline-formula><mml:math id="M468" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> bias over tropical forests, US, Europe, East Asia and marine areas). The model performance (bias and RMSD) is also improved at seven of the eight FTIR stations.</p>
      <p id="d2e9373">Nevertheless, closer examination of the comparisons points to important regional differences. Most noticeably, the optimisation leads to substantial model overestimations (by 40 <inline-formula><mml:math id="M469" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) against summertime measurements over the Canadian boreal forest (ARCTAS-July campaign) and in northern European Russia (St Petersburg), suggesting that the bias correction of IASI columns is unwarranted at these latitudes. Over tropical ecosystems, the comparisons with in situ data (10 campaigns) and FTIR data (at Porto Velho and Reunion island) suggests a small positive bias (<inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>), despite a substantial reduction of biases, in comparison to the prior simulation. Future work should aim at a  better characterisation of IASI biases using aircraft and surface in situ data (especially over boreal and tropical ecosystems, poorly represented in the present study) and FTIR data (in all environments), considering the small number of stations where methanol is being retrieved.</p>
      <p id="d2e9399">The emission inversion suggests largely increased biogenic emissions over North America and most of Eurasia as well as decreased emissions over tropical forests. Strong enhancements, by up to a factor 5, are found over semi-arid ecosystems, consistent with previous inversion studies and possibly due to soil emissions currently overlooked in MEGAN. The seasonal cycle of biogenic emissions undergoes significant changes. At mid-latitudes, the optimised emissions peak earlier than in the MEGAN inventory. Over tropical ecosystems, emission increases are inferred during warm and sunny periods, while decreases are derived during colder, less sunny months. Temperature and visible radiation fluxes appear to exert a stronger control of biogenic emissions than can be accounted for in MEGAN, for reasons still unclear. A revision of the parametrisation of the leaf age response factor is likely needed for tropical environments.</p>
      <p id="d2e9402">The global top-down biogenic emission flux (160 <inline-formula><mml:math id="M471" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) is almost 60 <inline-formula><mml:math id="M472" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> higher than previous top-down estimates <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx92 bib1.bibx16" id="paren.183"/>, due to mainly two reasons. The first reason is the bias correction of IASI columns, corroborated by the improved model performance against a wide range of observations, except over boreal continental regions, as noted above. The total biogenic flux due to boreal forests is increased by a factor of 2.4, from 9.4 to 22.8 <inline-formula><mml:math id="M473" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Even without the contribution of boreal forests, the global top-down biogenic flux would therefore still be much higher than previous estimates. The second reason is the stronger sink due to dry deposition in our model, with a global lifetime with respect to this process of 17 <inline-formula><mml:math id="M474" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>, well below the range of estimates from previous modelling studies. Dry deposition is estimated here to offset 45 <inline-formula><mml:math id="M475" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> of the global biogenic emission flux. The deposition velocities are calculated using a Wesely-type parametrisation adjusted based on estimates from 13 field campaign studies. The calculated values range typically between 0.2–1.6 <inline-formula><mml:math id="M476" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> over vegetated areas, in generally good agreement with the field studies. A notable exception is the boreal forest site of Hyytiälä, where the deposition velocity is largely overestimated. Therefore, the dry deposition sink (and also the top-down biogenic gross flux) might be similarly overestimated over these forests. Clearly, more field campaign data are needed to provide a better assessment of both methanol abundances and dry deposition velocities in this environment, and more generally over terrestrial ecosystems.</p>
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    <back><app-group>

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Details on the dry deposition scheme</title>
<sec id="App1.Ch1.S1.SS1">
  <label>A1</label><title>Aerodynamic resistance</title>
      <p id="d2e9502">The aerodynamic resistance (<inline-formula><mml:math id="M477" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) is expressed <xref ref-type="bibr" rid="bib1.bibx31" id="paren.184"/> as

                <disp-formula id="App1.Ch1.S1.E26" content-type="numbered"><label>A1</label><mml:math id="M478" display="block"><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>R</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mfenced close="]" open="["><mml:mrow><mml:mtext>ln</mml:mtext><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mtext>0M</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow class="chem"><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">Ψ</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mtext>0M</mml:mtext></mml:msub></mml:mrow><mml:mi>L</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">Ψ</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow class="chem"><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi>L</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula>

          with <inline-formula><mml:math id="M479" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> von Karman's constant (0.41), <inline-formula><mml:math id="M480" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> the friction velocity (<inline-formula><mml:math id="M481" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M482" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the reference height (here, the altitude of the first model level), <inline-formula><mml:math id="M483" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mtext>0M</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M484" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow class="chem"><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the roughness lengths for heat and momentum, respectively, <inline-formula><mml:math id="M485" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ψ</mml:mi><mml:mi mathvariant="normal">H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> a stability profile for momentum, and <inline-formula><mml:math id="M486" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M487" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) the Obukhov length calculated using

                <disp-formula id="App1.Ch1.S1.E27" content-type="numbered"><label>A2</label><mml:math id="M488" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>L</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>u</mml:mi><mml:mo>*</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:msubsup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>T</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="italic">ν</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          with <inline-formula><mml:math id="M489" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M490" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>) the near-surface air temperature, <inline-formula><mml:math id="M491" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M492" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) the gravitational acceleration, and <inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="italic">ν</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M494" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) the virtual temperature flux in the surface layer. The latter depends on the sensible heat flux <inline-formula><mml:math id="M495" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M496" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and evaporation <inline-formula><mml:math id="M497" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M498" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>):

                <disp-formula id="App1.Ch1.S1.E28" content-type="numbered"><label>A3</label><mml:math id="M499" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="italic">ν</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>S</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.61</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>C</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>C</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          with <inline-formula><mml:math id="M500" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the heat capacity of air (<inline-formula><mml:math id="M501" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">J</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M502" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> the air density (<inline-formula><mml:math id="M503" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Hourly distributions at 0.25<inline-formula><mml:math id="M504" display="inline"><mml:mrow><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula> resolution of near-surface temperature, wind, sensible heat flux and evaporation are obtained from the ERA5 reanalysis <xref ref-type="bibr" rid="bib1.bibx44" id="paren.185"/>. Friction velocity is calculated using

                <disp-formula id="App1.Ch1.S1.E29" content-type="numbered"><label>A4</label><mml:math id="M505" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msubsup><mml:mi>u</mml:mi><mml:mi>l</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>v</mml:mi><mml:mi>l</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi>w</mml:mi><mml:mo>*</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:mfenced><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mtext>ln</mml:mtext><mml:mfenced close=")" open="("><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mtext>0M</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mtext>0M</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">Ψ</mml:mi><mml:mi mathvariant="normal">M</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mtext>0M</mml:mtext></mml:msub></mml:mrow><mml:mi>L</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">Ψ</mml:mi><mml:mi mathvariant="normal">M</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mtext>0M</mml:mtext></mml:msub></mml:mrow><mml:mi>L</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          with <inline-formula><mml:math id="M506" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M507" display="inline"><mml:mrow><mml:msub><mml:mi>v</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the horizontal wind components at 10 <inline-formula><mml:math id="M508" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M509" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mo>*</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> a free convection velocity scale,

                <disp-formula id="App1.Ch1.S1.E30" content-type="numbered"><label>A5</label><mml:math id="M510" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>w</mml:mi><mml:mo>*</mml:mo></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>g</mml:mi><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="italic">ν</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>

          with <inline-formula><mml:math id="M511" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. Since <inline-formula><mml:math id="M512" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> depends on <inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> (Eq. <xref ref-type="disp-formula" rid="App1.Ch1.S1.E27"/>) which is dependent on <inline-formula><mml:math id="M514" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> (Eq. <xref ref-type="disp-formula" rid="App1.Ch1.S1.E29"/>), these quantities are calculated iteratively. The stability profiles for heat and momentum follow <xref ref-type="bibr" rid="bib1.bibx31" id="text.186"/>.</p>
      <p id="d2e10305">The roughness lengths over oceans are calculated <xref ref-type="bibr" rid="bib1.bibx31" id="paren.187"/> using

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M515" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="App1.Ch1.S1.E31"><mml:mtd><mml:mtext>A6</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>z</mml:mi><mml:mtext>0M</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.11</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="italic">ν</mml:mi><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>u</mml:mi><mml:mo>*</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow><mml:mi>g</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="App1.Ch1.S1.E32"><mml:mtd><mml:mtext>A7</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>z</mml:mi><mml:mrow class="chem"><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.4</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="italic">ν</mml:mi><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          with <inline-formula><mml:math id="M516" display="inline"><mml:mi mathvariant="italic">ν</mml:mi></mml:math></inline-formula> the kinematic viscosity (<inline-formula><mml:math id="M517" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> at 288 <inline-formula><mml:math id="M518" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M519" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the Charnock dimensionless coefficient provided by the ERA5 reanalysis. Over land, the estimation of <inline-formula><mml:math id="M520" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mtext>0M</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> follows <xref ref-type="bibr" rid="bib1.bibx119" id="text.188"/>, i.e. minimum and maximum values are defined for each plant functional type. The seasonal evolution of the roughness length is based on LAI obtained from monthly averaged Moderate Resolution Imaging Spectroradiometer (MODIS 15A2H collection 6). <inline-formula><mml:math id="M521" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mrow class="chem"><mml:mn mathvariant="normal">0</mml:mn><mml:mi mathvariant="normal">H</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is assumed equal to <inline-formula><mml:math id="M522" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>⋅</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mtext>0M</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx31" id="paren.189"/>.</p>
</sec>
<sec id="App1.Ch1.S1.SS2">
  <label>A2</label><title>Quasi-laminar sublayer resistance</title>
      <p id="d2e10515">Following <xref ref-type="bibr" rid="bib1.bibx96" id="text.190"/>, the quasi-laminar sublayer resistance (<inline-formula><mml:math id="M523" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) is written as

                <disp-formula id="App1.Ch1.S1.E33" content-type="numbered"><label>A8</label><mml:math id="M524" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mi>b</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:mi>B</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="italic">ν</mml:mi><mml:mrow><mml:mn mathvariant="normal">0.72</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>

          where the empirical factor <inline-formula><mml:math id="M525" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> is taken equal to <inline-formula><mml:math id="M526" display="inline"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi mathvariant="italic">κ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle></mml:math></inline-formula> and <inline-formula><mml:math id="M527" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the gas-phase diffusivity of methanol, obtained from <xref ref-type="bibr" rid="bib1.bibx93" id="text.191"/> (<inline-formula><mml:math id="M528" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.66</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> at 298 <inline-formula><mml:math id="M529" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>). The temperature dependence of the diffusivity follows <xref ref-type="bibr" rid="bib1.bibx93" id="text.192"/>.</p>
</sec>
<sec id="App1.Ch1.S1.SS3">
  <label>A3</label><title>Stomatal resistance</title>
      <p id="d2e10697"><inline-formula><mml:math id="M530" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is related to the stomatal resistance to the diffusion of water (<inline-formula><mml:math id="M531" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>):

                <disp-formula id="App1.Ch1.S1.E34" content-type="numbered"><label>A9</label><mml:math id="M532" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>R</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>⋅</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M533" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the gas-phase diffusivity of water <xref ref-type="bibr" rid="bib1.bibx61" id="paren.193"><named-content content-type="pre"><inline-formula><mml:math id="M534" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.18</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> at 298 <inline-formula><mml:math id="M535" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>,</named-content></xref>. The dependence of the stomatal resistance for <inline-formula><mml:math id="M536" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> on environmental parameters is given <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx83" id="paren.194"/> by

                <disp-formula id="App1.Ch1.S1.E35" content-type="numbered"><label>A10</label><mml:math id="M537" display="block"><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>Q</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo mathsize="1.5em">/</mml:mo><mml:mo>(</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>e</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>f</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M538" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> is the visible radiation flux (<inline-formula><mml:math id="M539" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M540" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M541" display="inline"><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> are stress factors for temperature (<inline-formula><mml:math id="M542" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and the leaf water potential (<inline-formula><mml:math id="M543" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ψ</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M544" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the water vapour deficit (<inline-formula><mml:math id="M545" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>). The stress functions for every plant functional type are detailed in <xref ref-type="bibr" rid="bib1.bibx65" id="text.195"/>. The values of parameters <inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:msub><mml:mi>a</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M548" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M549" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are given in Table S7. <inline-formula><mml:math id="M550" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is minimum during daytime, typically of the order of 100 <inline-formula><mml:math id="M551" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for ozone <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx76 bib1.bibx97" id="paren.196"><named-content content-type="pre">e.g.</named-content></xref>.</p>
</sec>
<sec id="App1.Ch1.S1.SS4">
  <label>A4</label><title>Cuticular and soil uptake resistances for <inline-formula><mml:math id="M552" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M553" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></title>
      <p id="d2e11200">The cuticular resistances for <inline-formula><mml:math id="M554" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M555" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are calculated <xref ref-type="bibr" rid="bib1.bibx119" id="paren.197"/> with

                <disp-formula id="App1.Ch1.S1.E36" content-type="numbered"><label>A11</label><mml:math id="M556" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>R</mml:mi><mml:mtext>cut</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mtext>wet</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>cutd</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>wet</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>cutw</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mspace width="0.125em" linebreak="nobreak"/></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>

          
          where <inline-formula><mml:math id="M557" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>wet</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the frequency of wet conditions, due to either dew or rain, and

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M558" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="App1.Ch1.S1.E37"><mml:mtd><mml:mtext>A12</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mtext>cutd</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>fr</mml:mtext></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>cutd0</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mi mathvariant="normal">e</mml:mi><mml:mrow><mml:mn mathvariant="normal">0.03</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>RH</mml:mtext></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mtext>LAI</mml:mtext><mml:mn mathvariant="normal">0.25</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="App1.Ch1.S1.E38"><mml:mtd><mml:mtext>A13</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>R</mml:mi><mml:mtext>cutw</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>fr</mml:mtext></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mtext>cutw0</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msup><mml:mtext>LAI</mml:mtext><mml:mn mathvariant="normal">0.5</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          with LAI being relative humidity (in <inline-formula><mml:math id="M559" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M560" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>fr</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> a function of temperature, equal to 1 above <inline-formula><mml:math id="M561" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1 <inline-formula><mml:math id="M562" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, and given by

                <disp-formula id="App1.Ch1.S1.E39" content-type="numbered"><label>A14</label><mml:math id="M563" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>f</mml:mi><mml:mtext>fr</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mtext>min</mml:mtext><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>,</mml:mo><mml:msup><mml:mi mathvariant="normal">e</mml:mi><mml:mrow><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi>C</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>

          below that temperature. The reference values for dry and wet conditions (<inline-formula><mml:math id="M564" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>cutd0</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M565" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>cutw0</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) are provided in Table S7 for <inline-formula><mml:math id="M566" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M567" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, except <inline-formula><mml:math id="M568" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mtext>cutw0</mml:mtext><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>, which is equal to 50 <inline-formula><mml:math id="M569" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for rain and 100 <inline-formula><mml:math id="M570" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for dew conditions. Dew presence is assumed to occur when <inline-formula><mml:math id="M571" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> falls below a threshold value dependent on specific humidity and cloud cover <xref ref-type="bibr" rid="bib1.bibx19" id="paren.198"/>. Rain frequency is estimated from the ERA5 cloud and precipitation fields <xref ref-type="bibr" rid="bib1.bibx91" id="paren.199"/>.</p>
      <p id="d2e11601">The ground resistance for <inline-formula><mml:math id="M572" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is taken equal to 50 <inline-formula><mml:math id="M573" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for rain and 100 <inline-formula><mml:math id="M574" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for dew conditions, and is multiplied by the factor <inline-formula><mml:math id="M575" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>fr</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. In absence of dew or rain, the ground resistance <inline-formula><mml:math id="M576" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mi>g</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> depends on RH and soil pH <xref ref-type="bibr" rid="bib1.bibx52" id="paren.200"/>. In humid conditions (above 60 <inline-formula><mml:math id="M577" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> RH), the resistance, <inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mo>,</mml:mo><mml:mi>h</mml:mi></mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> is taken equal to 115, 65 and 25 <inline-formula><mml:math id="M579" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M580" display="inline"><mml:mrow><mml:mtext>pH</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">404</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M581" display="inline"><mml:mrow><mml:mn mathvariant="normal">5.5</mml:mn><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">7.3</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M582" display="inline"><mml:mrow><mml:mtext>pH</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">7.3</mml:mn></mml:mrow></mml:math></inline-formula>, respectively. The soil pH distribution is obtained from <xref ref-type="bibr" rid="bib1.bibx43" id="text.201"/>. Below 60 <inline-formula><mml:math id="M583" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> RH, the resistance (<inline-formula><mml:math id="M584" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) is calculated by modifying the values for humid conditions (<inline-formula><mml:math id="M585" display="inline"><mml:mrow><mml:msubsup><mml:mi>R</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mo>,</mml:mo><mml:mi>h</mml:mi></mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula>) according to

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M586" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msubsup><mml:mi>R</mml:mi><mml:mi>g</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>=</mml:mo><mml:mtext>max</mml:mtext><mml:mo mathsize="1.1em">(</mml:mo><mml:mn mathvariant="normal">25</mml:mn><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">3.4</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msubsup><mml:mi>R</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mo>,</mml:mo><mml:mi>h</mml:mi></mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msubsup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">85</mml:mn><mml:mo>+</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="App1.Ch1.S1.E40"><mml:mtd><mml:mtext>A15</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>⋅</mml:mo><mml:mtext>max</mml:mtext><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">40</mml:mn><mml:mo>-</mml:mo><mml:mtext>RH</mml:mtext><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mn mathvariant="normal">40</mml:mn><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mo>⋅</mml:mo><mml:msup><mml:mi mathvariant="normal">e</mml:mi><mml:mrow><mml:mn mathvariant="normal">269</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:msup><mml:mo mathsize="1.1em">)</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          with <inline-formula><mml:math id="M587" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the soil temperature (<inline-formula><mml:math id="M588" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e11958">The ground resistance for <inline-formula><mml:math id="M589" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is assumed equal to respectively 200 <inline-formula><mml:math id="M590" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>  under vegetation and 500 <inline-formula><mml:math id="M591" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for non-vegetated surfaces <xref ref-type="bibr" rid="bib1.bibx119" id="paren.202"/>. These values are multiplied by <inline-formula><mml:math id="M592" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mtext>fr</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Eq. <xref ref-type="disp-formula" rid="App1.Ch1.S1.E39"/>) at low temperatures.</p>
      <p id="d2e12024">Over snow, the ground and cuticular resistance for <inline-formula><mml:math id="M593" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are assumed equal to 2000 <inline-formula><mml:math id="M594" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; the ground resistance for <inline-formula><mml:math id="M595" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is calculated as function of temperature following <xref ref-type="bibr" rid="bib1.bibx52" id="text.203"/>. The snow fraction is calculated from the ERA5 snow depth (SD) as the ratio

                <disp-formula id="App1.Ch1.S1.E41" content-type="numbered"><label>A16</label><mml:math id="M596" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>f</mml:mi><mml:mtext>snow</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mtext>min</mml:mtext><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mtext>SD</mml:mtext><mml:mrow><mml:msub><mml:mtext>SD</mml:mtext><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M597" display="inline"><mml:mrow><mml:msub><mml:mtext>SD</mml:mtext><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is taken equal to <inline-formula><mml:math id="M598" display="inline"><mml:mrow><mml:mtext>max</mml:mtext><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>⋅</mml:mo><mml:mtext>LAI</mml:mtext></mml:mrow></mml:math></inline-formula>).</p>
</sec>
</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e12142">The NASA aircraft campaign datasets are available from the Langley Research Center at <uri>https://www-air.larc.nasa.gov/missions/merges</uri> (last access: 16 January 2026). The Vielsalm dataset for 2009 and 2010 is available at  <ext-link xlink:href="https://doi.org/10.18758/h659pdrv" ext-link-type="DOI">10.18758/h659pdrv</ext-link> <xref ref-type="bibr" rid="bib1.bibx1" id="paren.204"/>, while the Lonzée dataset is available at <ext-link xlink:href="https://doi.org/10.18758/7V20VH47" ext-link-type="DOI">10.18758/7V20VH47</ext-link> <xref ref-type="bibr" rid="bib1.bibx2" id="paren.205"/> (for 2012) and  <ext-link xlink:href="https://doi.org/10.18758/87DE2ABL" ext-link-type="DOI">10.18758/87DE2ABL</ext-link> (for 2013) <xref ref-type="bibr" rid="bib1.bibx3" id="paren.206"/>. The MEGAN-MOHYCAN methanol emissions and the top-down methanol emissions generated in this study are available at <ext-link xlink:href="https://doi.org/10.18758/5FMK39FW" ext-link-type="DOI">10.18758/5FMK39FW</ext-link> <xref ref-type="bibr" rid="bib1.bibx64" id="paren.207"/>. The monthly LAI distributions from MODIS15A2H collection 6 are available at <uri>https://lpdaac.usgs.gov</uri> (last access: 15 January 2026).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e12176">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-26-5375-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-26-5375-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e12185">JFM and TS designed the inversions, performed the optimisations and the data analysis and wrote the manuscript. BO contributed to data analysis. BF and LC provided the IASI methanol retrievals and advice on their use. CA, NS, and BWDV provided the Vielsalm and Lonzée data. CV, EM, MM, and KS provided the FTIR data and advice on their use. All co-authors read and commented on the manuscript and provided feedback.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e12191">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="d2e12197">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e12203">Lieven Clarisse is Senior Research Associate supported by the Belgian F.R.S.-FNRS. Emmanuel Mahieu is Research Director with the F.R.S.-FNRS. The FTIR measurements at Jungfraujoch were primarily supported by the F.R.S.-FNRS (Brussels, BE), the GAW-CH program of MeteoSwiss (Zürich, CH) and the HFSJG.ch Foundation (Bern, CH). Maria Makarova is supported by a SPbU research project 132392751 (GZ_MDF_2026). The Eureka FTIR measurements were made at the Polar Environment Atmospheric Research Laboratory (PEARL), primarily supported by ECCC, CSA, and NSERC. The Toronto FITR measurements were made at the University of Toronto Atmospheric Observatory, primarily supported by NSERC and ECCC.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e12209">This study was supported by the GLANCE project funded by the European Space Agency (ESA) under the “eo science for society” programme and by the CONCERTO project funded by the European Commission under the Horizon Europe programme (grant agreement no. 101185000).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e12215">This paper was edited by Kelvin Bates and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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