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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-19-4459-2026</article-id><title-group><article-title>Fugitive natural gas emissions in York, United Kingdom: updating the parameters of existing algorithms to be based on instrumental limitations</article-title><alt-title>Fugitive natural gas emissions in York, United Kingdom</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Moore</surname><given-names>Thomas C.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9765-323X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Hopkins</surname><given-names>James R.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0447-2633</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Drysdale</surname><given-names>Will S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7114-7144</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Young</surname><given-names>Stuart</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Budisulistiorini</surname><given-names>Sri Hapsari</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5715-9157</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Shaw</surname><given-names>Marvin D.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9954-243X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>LeVernois</surname><given-names>Mackenzie</given-names></name>
          
        <ext-link>https://orcid.org/0009-0006-1399-8596</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>France</surname><given-names>James L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8785-1240</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Lowry</surname><given-names>David</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8535-0346</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Lee</surname><given-names>James D.</given-names></name>
          <email>james.lee@york.ac.uk</email>
        <ext-link>https://orcid.org/0000-0001-5397-2872</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Wolfson Atmospheric Chemistry Laboratories, University of York, York YO10 5DD, United Kingdom</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Centre for Atmospheric Science, University of York, York YO10 5DD, United Kingdom</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Royal Holloway, University of London, Earth Sciences, Egham, United Kingdom</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Environmental Defence Fund Europe, Avenue des Arts 47–49, Brussels, Belgium</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">James D. Lee (james.lee@york.ac.uk)</corresp></author-notes><pub-date><day>6</day><month>July</month><year>2026</year></pub-date>
      
      <volume>19</volume>
      <issue>13</issue>
      <fpage>4459</fpage><lpage>4475</lpage>
      <history>
        <date date-type="received"><day>29</day><month>October</month><year>2025</year></date>
           <date date-type="rev-request"><day>27</day><month>November</month><year>2025</year></date>
           <date date-type="rev-recd"><day>1</day><month>June</month><year>2026</year></date>
           <date date-type="accepted"><day>10</day><month>June</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Thomas C. Moore et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026.html">This article is available from https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e185">Reducing methane (<inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) emissions has become increasingly important in recent years due to its importance for radiative forcing. Fugitive emissions of <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from natural gas distribution infrastructure are of particular interest as a mitigation target within the oil and gas sector. Previous studies have shown the ability to detect these emissions by use of mobile surveys measuring <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, with some studies using ratios to secondary co-emitted compounds as a means of predicting the source of emission. This study aims to adapt existing algorithm parameters by investigating the limitations of equipment within the platform used for mobile surveys. These changes suggest that previous methods may underpredict the number of Leak Indications (LIs) by 53.5 % with 27 LIs detected with the old methodology compared to 58 LIs detected with the new methodology. The majority of these LIs were found to be emitting in a leak rate category of 0–2 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</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>.  Source determination was included as a core step within the algorithm, which was shown to reduce the misassignment of LIs, suggesting when not using this step, emissions from pyrogenics and biogenics are included within LI assignments.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Natural Environment Research Council</funding-source>
<award-id>NE/S007458/1</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="d2e249">Following COP26 and the Global Methane Pledge (European Commission and United States of America, 2021), <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and its emissions have received increased attention. The pledge states that the signatories will attempt to reduce their <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions by 30 % of their 2020 levels by 2030.  This was brought about due to increasing concern over the potency of <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as a greenhouse gas, with its warming potential 28 times greater than <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over a 100 year timescale and 84 times greater over a 20 year timescale (IPCC, 2021). Anthropogenic sources are estimated to contribute to 65 % of all <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">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, with atmospheric <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> seeing a consistent growth rate of <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> since 2007, with 2021 and 2022 seeing growth rates of 17.8 and 14 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> respectively (Saunois et al., 2025). Therefore, understanding and mitigating anthropogenic <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is a key step in complying with the Global Methane Pledge.</p>
      <p id="d2e374">Of anthropogenic emissions, the agricultural sector has the largest contribution towards atmospheric emissions (Saunois et al., 2025). Although there are means of reducing these emissions, such as changes to cattle, crop and land management as well as changing the feedstock of the cattle, from grass silage to maize silage (Bačėninaitė et al., 2022; Nisbet et al., 2025). These changes may still require time to implement, so this sector cannot be the sole focus in order to reach the 2030 deadline.</p>
      <p id="d2e377">After agriculture, the largest contributor to anthropogenic emissions is the energy sector, with oil, natural gas and coal having relatively similar contributions to <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions. Natural gas is of particular importance to the United Kingdom (UK), which is the 19th largest country emitter of <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the natural gas network (Scarpelli et al., 2022).</p>
      <p id="d2e403">One of the major sources 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">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions from the natural gas network is fugitive emissions. A fugitive emission is an unexpected or unwanted emission of gas from a pressurised network that is not detected by standard means (Sotoodeh, 2021). Within the natural gas network, fugitive emissions are commonly referred to as “gas leaks”. However, the stigma surrounding this term, both from industrial operators and the public, means the term fugitive emission is preferable to be used where possible.</p>
      <p id="d2e418">In the UK in 2023, <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mn mathvariant="normal">63.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of natural gas was consumed (Energy Institute, 2024). This is used in a range of applications, including industrial use, electricity generation and domestic use. Of the UK's natural gas consumption, 33.8 % is from the domestic sector (DESNZ, 2024), with 73.8 % of households in England and Wales using mains gas for either heating or cooking purposes (Stewart and Bolton, 2024). In 2022, it was estimated that 117 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kT</mml:mi></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was emitted as a result of fugitive emissions related to natural gas distribution (NAEI, 2025).</p>
      <p id="d2e466">Within the UK, after natural gas is either produced or imported, it is first transported through National Gas' National Transmission System (NTS), a network of over 8000 km of high-pressure steel pipes and more than 500 above ground installations. Natural gas is then transported by one of the UK's Gas Distribution Networks (GDNs), a GDN first reduces the pressure from the NTS then oversees the pipework for pre-meter distribution of natural gas to homes and businesses. The GDN responsible for York covers 2.7 million homes and businesses across the northeast of England and northern Cumbria, resulting in tens of thousands of kilometres of pipework and therefore large uncertainties in the locations of fugitive emissions. To combat this, previous studies have implemented mobile measurement approaches centred around the detection of areas with elevated <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
<sec id="Ch1.S1.SS1">
  <label>1.1</label><title>Previous Mobile Measurement Methodology</title>
      <p id="d2e487">Multiple previous studies have attempted to design algorithms to detect fugitive emissions of natural gas, all of which focus on locating enhancements in <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the major component of natural gas. These algorithms define an enhancement based on whether <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios are higher than a certain value (Phillips et al., 2013), above a certain percentile in measured readings (Hopkins et al., 2016, Chamberlain et al., 2016) or by using an outlier detection model (Keyes et al., 2020).</p>
      <p id="d2e512">The paper upon which our methodology is based (von Fischer et al. 2017), defines Observed Peaks (OPs) as <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancements <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">110</mml:mn></mml:mrow></mml:math></inline-formula> % of a 2.5 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> rolling background of the mean <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations two minutes before and after each measured point. Additionally, OPs must not cover a distance greater than 160 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Enhancements occurring within 5 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> of each other are grouped together. Mobile surveys are repeated multiple times and Leak Indications (LIs) are determined by grouping OPs that occur within 20 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of one another and determining which of these grouped clusters contain OPs from more than one mobile survey. The LIs are then quantified into emission rates in <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</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>, using an equation derived from the results of a controlled release experiment, shown in Eq. (1).

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M33" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mo>(</mml:mo><mml:mtext>release rate</mml:mtext></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>/</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1178</mml:mn><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.08267</mml:mn><mml:mo>×</mml:mo><mml:mi>M</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.005175</mml:mn><mml:mo>×</mml:mo><mml:mi>A</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.08626</mml:mn><mml:mo>×</mml:mo><mml:mi>K</mml:mi></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          where: <list list-type="bullet"><list-item>
      <p id="d2e662"><inline-formula><mml:math id="M34" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> is the maximum <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">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reading</p></list-item><list-item>
      <p id="d2e683"><inline-formula><mml:math id="M36" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is the peak area in <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula></p></list-item><list-item>
      <p id="d2e703"><inline-formula><mml:math id="M38" display="inline"><mml:mi>K</mml:mi></mml:math></inline-formula> is the ratio of <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> to maximum <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></p></list-item></list> This methodology was further developed in Weller et al. (2019), where the baseline became the median <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">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value over 2.5 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>, the spatial grouping of OPs to LIs changed from 20–30 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and the quantification equation changed to Eq. (2).

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M44" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mtext>excess</mml:mtext></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>/</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.988</mml:mn></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.817</mml:mn><mml:mo>×</mml:mo><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mtext>emission rate</mml:mtext><mml:mo>/</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          Where the excess <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> term is the mean of all <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">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancements associated with the resulting LI.</p>
      <p id="d2e853">In Maazallahi et al. (2020), it was proposed that the existing methodology categorised certain burning emissions as fugitive emissions. To counter this, an additional stage using <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios with <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">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was introduced to filter out burning emissions.</p>
      <p id="d2e878">Source attribution was also used in Fernandez et al. (2022), using isotopic measurements of <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in addition to ethane <inline-formula><mml:math id="M50" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> methane (<inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) ratios.</p>
      <p id="d2e918">Most recently in Tettenborn et al. (2025), the approach was changed further, adapting the quantification equation to be based on peak area as opposed to peak height, resulting in the quantification equation shown in Eq. (3),

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M52" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mo>(</mml:mo><mml:mtext>release rate</mml:mtext></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>/</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi>exp⁡</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.292</mml:mn><mml:mo>×</mml:mo><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mtext>peak area</mml:mtext><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2.377</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mtext>peak area</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the mean ln(peak area) of all OPs within the LI cluster.</p>
      <p id="d2e994">Variations of this algorithm have been used in many major cities across the USA and Canada (Ars et al., 2020; Weller et al., 2022), Europe (Defratyka et al., 2021; Fernandez et al., 2022; Wietzel and Schmidt, 2023; Vogel et al., 2024) and Asia (Joo et al., 2024, Ueyama et al., 2025, Umezawa et al., 2025). This paper attempts to detect smaller enhancements of methane by adapting detection and clustering parameters to be specific to the limitations of the instrumentation used. The paper also explores the effect of introducing a source attribution filter at the OP stage of the algorithm and how this affects the number and the magnitude of LIs.</p>
</sec>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methodology</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Instrumentation</title>
      <p id="d2e1013">The Wolfson Atmospheric Chemistry Laboratories (WACL) Air Sampling Platform (WASP) detailed in Wagner et al. (2021) is the base for these measurements.  The sampling inlet for the WASP is located at the front of the van on the driver's side, meaning that the vehicle will sample the centre of the road regardless of direction of travel. Since publication of Wagner et al. (2021), the WASP has been updated to include a Quark-Elec QK-AS07-0183 for GPS readings. For the measurements surrounding natural gas, the WASP was equipped with a Los Gatos Microportable Greenhouse Gas Analyser (MGGA) for measurements of <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, Iterative CAvity enhanced Differential optical absorption spectrometer (ICAD) for measurements of <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M57" 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:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:math></inline-formula>), and an Aerodyne Tuneable Infrared Laser Direct Absorption Spectrometer (TILDAS) laser trace gas analyser for measurements of ethane (<inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (Yacovitch et al., 2014). Measurements of <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were calibrated using a three point calibration of a high standard (17.5 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>), medium (2.5 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>) and a zero, where calibration standard concentrations were confirmed via GC-MS. For each mobile survey a calibration was performed before and after the mobile survey itself, a linear regression was performed to find the slope and intercept of the calibration concentrations versus measured concentrations. The average of the two calibrations was taken to account for instrument drift during the mobile survey and the resulting equation, Eq. (4), was used to apply a correction to <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations,

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M63" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mrow><mml:mn mathvariant="normal">6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">corrected</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mrow><mml:mn mathvariant="normal">6</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">uncorrected</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>⋅</mml:mo><mml:mi>m</mml:mi><mml:mo>+</mml:mo><mml:mi>c</mml:mi></mml:mrow></mml:math></disp-formula>

          Where: <list list-type="bullet"><list-item>
      <p id="d2e1177"><inline-formula><mml:math id="M64" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> = Gradient of calibration concentration vs. mean response averaged over the two calibrations</p></list-item><list-item>
      <p id="d2e1187"><inline-formula><mml:math id="M65" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> = Intercept of calibration concentration vs. mean response averaged over the two calibrations</p></list-item></list></p>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Instrument Response Time</title>
      <p id="d2e1203">Response time of the MGGA is reported as <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> from the manufacturer's specification. The response rate of the TILDAS however was unknown. The TILDAS is capable of recording measurements at a rate of 10 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula>, however, the flow rate through the instrument needed to be altered to make these measurements true to the 10 <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> values. Originally, the inlet to the TILDAS had two valves in series, a stainless steel integral bonnet needle valve, 0.37 Cv, 1/4 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">in</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> #SS-1RS4 and an electronic upstream flow control valve, 10 000 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">sccm</mml:mi></mml:mrow></mml:math></inline-formula>, 0.25 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">in</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></inline-formula> tube, viton seal #0248A-10000SV which allows small changes to maintain the internal pressure at 70 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Torr</mml:mi></mml:mrow></mml:math></inline-formula>. With the two valves in series, the instrument was unable to achieve a high enough flow rate for true 10 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> measurements. Moving the valves to be parallel, the instrument was able to achieve a flow rate close to 5 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula>, which indicated that the pump was the limiting factor for the flow rate of the instrument.</p>
      <p id="d2e1293">These changes to increase the flow rate of the instrument were made to allow for a response time as close to that of the MGGA as possible. To find the accurate response time of the TILDAS, an experiment was devised whereby a high concentration of <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mn mathvariant="normal">17.630</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.715</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M78" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>, measured via GC-MS) was flowed through the TILDAS and switched to ambient air 10 times, on 2 separate valve setups, for a total of 20 repeats of low-high-low transitions in the concentration of <inline-formula><mml:math id="M79" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The transition times were located by eye and then the transition time to go from 90 % of the maximum value to 10 % of the maximum value was calculated (Symonds, 2017). An example of the high to low transition with the 90 % and 10 % limits is shown in Fig. 1. The transition time on the first valve ranged from 0.7–1.1 <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> with a mean value of 0.9 <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>, the second valve had responses ranging from 0.7–1.4 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>, also with a mean response of 0.9 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>, giving confidence in a sub 1 <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> response rate from the TILDAS and therefore showing the capability of a sub 1 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> response in both instruments. The data however was still averaged to 1 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> with a 1 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> clustering time due to the data being limited by the data acquisition rate of the WASP's GPS.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1416">Example response transition of TILDAS high concentration to low concentration, normalised to maximum recorded response.</p></caption>
            <graphic xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026-f01.png"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Variation in methane measurements</title>
      <p id="d2e1433">Previous algorithms define an enhancement as being higher than 1.1 times a 2.5 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> rolling median background. This work however seeks to understand if this parameter holds true for the specific instrumentation used in the mobile surveys. To understand what this parameter may be, a variance experiment was undertaken. The standard deviation of <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurements over a 2 <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> period was calculated to understand the minimum detectable enhancement for the <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> detection algorithm.</p>
      <p id="d2e1474">For 2 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> compressed air flowed through the Los Gatos MGGA, with an observed median measured value of 7.2 <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:math></inline-formula> and a standard deviation of 0.006 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppm</mml:mi></mml:mrow></mml:math></inline-formula>. An enhancement criteria was proposed as 5 times this standard deviation divided by the median baseline, resulting in an enhancement criteria of 1.005 times the baseline. However, this assumes a stable baseline that is replicated in the field. In reality, when applying this enhancement criteria, it led to the detection of enhancements that were too small to be reliably quantified. Instead, the <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios measured during each mobile survey were collated and the standard deviation was calculated for each mobile survey. Enhancement criteria was calculated as anything larger than 5 times the standard deviation divided by the median <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios. This was repeated for each mobile survey and resulted in a median enhancement criteria of 1.01 times the baseline. However, as this could result in detection of very small, diffuse, or non-natural gas emission enhancements, a larger enhancement criteria of 1.05 times the background was selected. This ensured there was still a large difference from the original methodologies criteria, while still remaining within the known variation of the instrumentation.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Driving Route</title>
      <p id="d2e1532">York is a city in the north-east of England with a population over 200 000.  A driving campaign took place over two separate weeks in May and June 2024 resulting in 18 mobile surveys of a “flower petal” route, shown in Fig. 2, staying within the outer ring roads of the A64 and A1237 and focused primarily on sampling residential areas of the city. The majority of the roads sampled on the route were only driven in one direction, but due to the position of the sampling inlet this allowed the middle of the road to be sampled regardless of the direction of travel. The route was driven 18 times as, in order to capture <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula> % of emissions, a route should be driven at least 5–8 times over separate days (Luetschwager et al., 2021). The route was chosen as it covers multiple different neighbourhoods within York, but was not intended to be used to compare measurements to the cities emissions inventory as it only covers a small fraction of the total miles of road within the York urban area, 27 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mi</mml:mi></mml:mrow></mml:math></inline-formula> of a total 507 administered by the local authority (Department for Transport, 2025).</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1555">Map of the route taken in WASP surveys. Produced using leaflet (Cheng et al., 2025) with tiles taken from OpenStreetMap (© OpenStreetMap contributors <uri>https://www.openstreetmap.org/copyright</uri>, last access: June 2026).</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Enhancement Detection Algorithm</title>
      <p id="d2e1575">The original algorithm, used in Weller et al. (2019), was adapted following the findings in Sects. 2.1.1 and 2.1.2. OPs were clustered within 1 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> as opposed to 5 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>. With a faster instrument response, it was expected that the measurements would more readily distinguish between two separate enhancements that occurred spatially close to one another. By clustering over a time of 5 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>, assuming an average speed of 20 <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mi</mml:mi><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> (8.9 <inline-formula><mml:math id="M103" 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">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), this would mean the potential to cluster together enhancements 44.5 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> apart, whereas a cluster time of 1 <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> would at most be clustering enhancements 8.9 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> apart, the reason for this change was discussed in Sect. 2.1.1. Enhancement criteria was also changed, instead of an enhancement needing to be more than 110 % of the baseline, it must be 105 % of the baseline.  This allows detection of smaller enhancements, this change was discussed in Sect. 2.1.2. LI determination occurred after identifying the source type of each OP, ensuring LI analysis occurred only on OPs of the thermogenic source type, to further reduce the chance of comparing long standing thermogenic fugitive emissions with possible nearby single occurrence pyrogenic or biogenic emissions.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Controlled Release Experiment</title>
      <p id="d2e1670">To obtain a quantification equation specific to the equipment used in York, a controlled release experiment was conducted at the Bedford Aerodrome over 5 <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> in May 2024. A MiniCRF was deployed to manage releases of <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">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and ammonia (<inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), while a MidiCRF was deployed for releases of <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. In total, there were 41 releases lasting an average of 30 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> each. Releases consisted of varying amounts of <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (0.2–70.48 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</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="M114" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (0–7.01 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</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="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (0–7.87 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</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>) to reflect a range of <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission sources, including natural gas and farm emissions. Releases were from a mixture of linear vertical releases, a multi emission point ring, multi point source emissions and single point releases, occurring at heights ranging from ground level to 3 <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> elevation. Over the course of the experiment wind speeds were measured using four Gill Met Pak Pro instruments deployed at 3, 6, 9 and 12 <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> elevation, winds were recorded as 1 <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> vector averages. Average wind speed over the 5 <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> was 3.87 <inline-formula><mml:math id="M123" 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">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> with wind speeds ranging from 0–9.75 <inline-formula><mml:math id="M124" 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">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. During each release, an initial period was spent locating the plume before sampling the plume at set distances for 10 repeats, the platform then moved further away in distance for another set of 10 repeats.  This continued until the plume was either lost, or a lack of driveable ground was left available. It was noted that larger releases were detectable further away, however, as the data from the controlled release was intended to be used in quantifying under-road and near-road fugitive emissions of natural gas, a maximum distance of 30 <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> from the point of release was applied for data analysis to reflect the maximum road widths typically found within a city like York (Essex Planning Officers Association, 2018).</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1906">Density plot of number of detected enhancements during the controlled release campaign against distance from release point.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026-f03.png"/>

        </fig>

      <p id="d2e1915">Of the 41 releases conducted in the controlled release, only 26 releases were able to be used for data analysis due to several reasons, including that some releases did not have detectable enhancements. Within these 26 releases, 3525 <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancements were detected over distances between 5.8 and 382.1 <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> from the release point; the majority of releases detected further away from the release point were from higher emission rate releases.  When enhancements were filtered to a maximum distance of 30 <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> from the release point, this resulted in 1226 enhancements from 23 releases. Density plots of the number of detected enhancements against distance from source are shown in Fig. 3 for all detected enhancements and Fig. 4 for enhancements detected within 30 <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> from the source.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e1956">Density plot of number of detected enhancements during the controlled release campaign against distance from release point (Limited to 0–30 <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>).</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026-f04.png"/>

        </fig>

<sec id="Ch1.S2.SS4.SSS1">
  <label>2.4.1</label><title>Quantification equation</title>
      <p id="d2e1980">There has been much development and advancement in the last few years on the use and application of “advanced mobile leak detection” systems for natural gas emissions detection and reporting. The original methodologies, where algorithms were developed to convert peak height maxima of measured methane plumes to estimated emission rates (Weller et al., 2019) have been superseded with plume area algorithms (Tettenborn et al., 2025) which are instrument and vehicle speed agnostic. However, this is still not a precise conversion and can only be treated as a generalised guide to emissions estimation due to external factors such as wind, instrument inlet location and local variability due to buildings and unknown source locations.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1985">Peak area vs. actual release rate for plume transects within 30 <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of release. Data shown is an average of multiple transects (at least 10) for each release.</p></caption>
            <graphic xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026-f05.png"/>

          </fig>

      <p id="d2e2002">In order to reduce the uncertainty for the WASP as much as possible, we present the results of a 1 week controlled release experiment conducted under variable wind conditions in a simple open field environment. Whilst this does not replicate the complex conditions of an urban setting, previous work in Tettenborn et al. (2025) shows that combined results from both urban and open field settings can be combined to give a generalised trend to create a plume area emission algorithm. For the WASP, the setup is slightly different to the work in Tettenborn et al. (2025), with the WASP's inlet located on the driver's side at low elevation. This may influence the impact of vehicle turbulence on the measurements and the difference in elevation will lead to a different vertical section of the plume being sampled. A comparison between the results of the Bedford controlled release, and the Tettenborn et al. (2025) methodology averages are shown below in Fig. 5.  All data shown is for downwind transects, where the plume was intercepted at a maximum of 30 <inline-formula><mml:math id="M132" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> from the controlled release location. The plume area is calculated as a function of distance travelled (as opposed to time), to correct for vehicle speed differences as done in the original Tettenborn et al. (2025) work.</p>
      <p id="d2e2014">Whilst the general trend of increasing plume area with release rate is adhered to, as can be seen in Fig. 5, the gradient of the trend is steeper, implying that a near-ground based inlet is potentially more capable of ascribing differences in emission rates.</p>
      <p id="d2e2017">One of the expected limitations of the algorithmic methods is that the effect of wind speed is ignored. Given the importance of wind speed in emissions modelling (e.g. Gaussian plume modelling from vehicles, Dowd et al., 2024), it would appear to have the potential for significant uncertainty in the resultant emissions quantification. To test this, 1 <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> wind data (averaged to 1 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> data) was taken from the 3 <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> mast located on site at the controlled release and incorporated into the analysis according to Eq. (5).

              <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M136" display="block"><mml:mrow><mml:mtext>wind speed</mml:mtext><mml:mo>×</mml:mo><mml:msubsup><mml:mo>∫</mml:mo><mml:mtext>plume start</mml:mtext><mml:mtext>plume end</mml:mtext></mml:msubsup><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></disp-formula>

            The results of the integration of wind speed into the algorithm are shown below in Fig. 6. Possibly somewhat surprisingly, there is a slight decrease in the goodness of fit to the relationship, potentially due to plume dynamics close to source not being immediately controlled by the atmospheric conditions, but the dynamics of the emission. This may also provide evidence as to the reasons why the results of previous studies have ended up with metrics that would at first seem unlikely to be able to produce reliable results from atmospheric dispersion principles. Given this result, that it seems to be as robust to consider wind as to not, it may be prudent for future controlled release experiments to focus on recreating the conditions of gas migration prior to emission to the atmosphere to see if this result still holds true.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2073">Peak area multiplied by wind speed vs. actual release rate for plume transects within 30 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of release. As with Fig. 5, data shown is an average of multiple transects (at least 10) for each release.</p></caption>
            <graphic xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026-f06.png"/>

          </fig>

      <p id="d2e2090">Due to these findings, the quantification equation used within York mobile surveys is shown in Eq. (6).

              <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M138" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mtext>release rate</mml:mtext><mml:mo>/</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mn mathvariant="normal">0.9167</mml:mn><mml:mo>×</mml:mo><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mtext>Peak Area</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.7359</mml:mn></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e2148">Additionally, leak rates were then reported within bins, similar to Tettenborn et al. (2025), where three possible bins were assigned; high (<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</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>), medium (6–40 <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</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 small (<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). This was adapted for the York surveys, the small category was changed to 2–6 <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</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 a new category, very small, was introduced which contained leak rates of 0–2 <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This change was introduced due to the lower enhancement criteria within the York methodology which allowed for detection of much smaller fugitive emissions.</p>
      <p id="d2e2258">It is important to note that these results are only suitable for the specific setup utilised here and should not be more widely applied without corroboration with other instruments or platform packages.</p>
</sec>
<sec id="Ch1.S2.SS4.SSS2">
  <label>2.4.2</label><title>Instrument Lag Time</title>
      <p id="d2e2269">For each of the releases, the lag time between detecting <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancements was calculated. Due to the response times of the instruments, it was expected that the TILDAS would respond to an enhancement before the MGGA, however, this assumes that both instruments receive the same packet of air at the same time, while, in reality, the packet of air will take a different amount of time to flow through the manifold to each instrument. To determine a more accurate lag time for the instruments, the maximum <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancement for each transect was identified along with the maximum <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancement occurring within 5 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> of the <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancement. The resulting 10 <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> window was selected based on vehicle speeds during the controlled release, where the WASP travelled at roughly 20 <inline-formula><mml:math id="M153" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mi</mml:mi><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>. Over the course of 10 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> (5 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> either side of the methane maximum) this would result in a distance of 85 <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> covered (the average length of a transect being 180 <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>). The time lag between <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M159" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> showed that in most cases (88.1 %), maximum <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration preceded maximum <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration with a mean of 2.7 <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> before and a median of 3.8 <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> before. Observing a window of time of maximum <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to 5 <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> before maximum <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> resulted in a mean lag of 3.3 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> from <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and a median lag of 3.9 <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>. This helped inform the detection algorithm to look for maximum <inline-formula><mml:math id="M171" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> within a window only up to 5 <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> before the maximum <inline-formula><mml:math id="M173" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Density plots showing the time lag of maximum <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from maximum <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are shown in Fig. S2 in the Supplement for the full 10 <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> time window and Fig. S3 in the Supplement for up to 5 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> before the time of maximum measured <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e2641">Relationship between <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for three OPs of different source types located during the sampling campaign.</p></caption>
            <graphic xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026-f07.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Source Appointment</title>
      <p id="d2e2687">Source determination using ethane <inline-formula><mml:math id="M181" display="inline"><mml:mo>:</mml:mo></mml:math></inline-formula> methane (<inline-formula><mml:math id="M182" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) ratios has been shown to be effective, due in part to the knowledge that <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is present in measurable quantities in thermogenic gas but not biogenic gas (Fernandez et al., 2022). These ratios can be used in order to determine the source of a <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emission. Demonstrated in Yacovitch et al. (2014), Lowry et al. (2020), Defratyka et al. (2021), and Fernandez et al. (2022), <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.005</mml:mn></mml:mrow></mml:math></inline-formula> may be associated with biogenic sources, <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.005</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> are thermogenic and <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> are considered pyrogenic or combustion. Ideal examples of these relationships are shown in Fig. 7. In order to calculate these ratios, <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values must first be aligned in time, due to them being measured on separate instruments, the criterion for time alignment was discussed in Sect. 2.4.2. Additionally, enhancements are removed where the <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> of <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is greater than 0.9 to ensure no combustion sources are wrongly assigned as thermogenic.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Results of York mobile surveys</title>
      <p id="d2e2869">18 mobile surveys were conducted across the route of York, the raw data was taken from 10 <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> files for <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (MGGA) and <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (TILDAS) and time averaged to 1 <inline-formula><mml:math id="M196" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> data to be of the same response time as the WASPs other internal components (e.g. GPS), a colour map of the measured <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration is shown in Fig. 8. The data was then processed to remove measurements taken when vehicle speeds were 0 or <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mi</mml:mi><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> as well as removing data within the area of WACL, as calibrations and other instrument tests were conducted in this location. A rolling 2.5 <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> median background of <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was then applied and enhancements were determined as any <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurement taken that was greater than 1.05 times the calculated background. The enhanced readings were then clustered such that any elevated reading within one second of another were assumed to correspond to the same enhancement. These enhancements were then spatially averaged such that 468 OPs were detected over the course of the 18 mobile surveys.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e2986">Colour map of <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentration from one of the York mobile surveys. Produced using Leaflet (Cheng et al., 2025) with tiles taken from OpenStreetMap (© OpenStreetMap contributors <uri>https://www.openstreetmap.org/copyright</uri>, last access: June 2026).</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026-f08.png"/>

        </fig>

      <p id="d2e3009">For each of these OPs the maximum <inline-formula><mml:math id="M204" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value was found from the time of maximum <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> to 5 <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> prior. The two instruments' data were then aligned for each OP such that time of maximum <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurement was equal to time of maximum <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurement. A linear regression was then taken of values from 5 <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> prior to the maximum methane measurement to 5 <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> after and a source type was assigned such that <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.005</mml:mn></mml:mrow></mml:math></inline-formula> is associated with biogenic sources, <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.005</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn></mml:mrow></mml:math></inline-formula> are thermogenic and <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> are considered pyrogenic or combustion.</p>
      <p id="d2e3145">Of the 468 OPs, 177 (37.8 %) were found to be thermogenic in origin. All thermogenic OPs were then spatially clustered using a 30 <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> threshold, with the resulting clusters filtered to ensure that each cluster contained OPs occurring on at least two separate mobile surveys, removing any OPs occurring from an event observed during only one mobile survey. The remaining clusters were then averaged into LIs such that the latitude and longitude were calculated as a weighted spatial average, resulting in 24 thermogenic LIs from the 177 thermogenic OPs. Leak rate was determined using the equation present in Sect. 2.4.1 using the mean <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mtext>peak area</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> of all OPs within each LI cluster. The smallest leak rate was determined to be 0.01 <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</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 the largest being 4.13 <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</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>, when assigned to bins 2 were classified as small (2–6 <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</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 22 were very small (0–2 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</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>). When the source determination step was omitted, it resulted in 58 LIs with leak rates ranging from 0.01–4.70 <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</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>, when assigned to bins 9 were small (2–6 <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</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 49 were very small (0–2 <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</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 id="Ch1.S3.SS1.SSSx1" specific-use="unnumbered">
  <title>Industry applicability</title>
      <p id="d2e3295">As many gas distribution companies have signed up to voluntary emission reporting programmes, such as the Oil and Gas Methane Partnership (OGMP) 2.0, they are now obligated to report emissions through measurement based methods. One of the most popular methods for such a reporting programme is through comprehensive, repeated vehicle based measurement surveys of an operator's gas network. Here, we have a repeated route of measurements where thermogenic emissions have been reported at certain locations throughout the campaign. It is therefore interesting from a mitigation perspective to investigate how many times each thermogenic emission was detected over the course of the campaign.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e3300">Wind direction consistency and number of OPs per thermogenic leak indication detected during the York campaign.</p></caption>
            <graphic xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026-f09.png"/>

          </fig>

      <p id="d2e3309">The effect of wind on detection of LIs was initially investigated by calculating the mean resultant length of wind directions when a thermogenic OP was detected. This was calculated using Eq. (7).

              <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M224" display="block"><mml:mrow><mml:mi mathvariant="italic">ρ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>n</mml:mi></mml:mfrac></mml:mstyle><mml:msqrt><mml:mrow><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mi>cos⁡</mml:mi><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mi>sin⁡</mml:mi><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula>

            Where: <list list-type="bullet"><list-item>
      <p id="d2e3382"><inline-formula><mml:math id="M225" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is mean resultant length</p></list-item><list-item>
      <p id="d2e3392"><inline-formula><mml:math id="M226" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> is number of data points</p></list-item><list-item>
      <p id="d2e3402"><inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the angle in radians</p></list-item></list></p>
      <p id="d2e3415">For this analysis <inline-formula><mml:math id="M228" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is close to 1 when the wind directions are concentrated (similar) and close to 0 when more dispersed. Figure 9 shows that for the majority of LIs detected in York, <inline-formula><mml:math id="M229" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is close to 1, suggesting that most LIs occur away from the road and require correct wind direction to be detected.</p>
      <p id="d2e3433">The number of mobile surveys is a large factor in the probability of detecting an LI. Each LI requires the enhancement to be detected on at least 2 separate mobile surveys. Of the 24 LIs detected over the course of this campaign, 12 LIs were detected on 2 mobile surveys, 6 were detected on 3 mobile surveys, 4 on 5 mobile surveys and 2 on 7, resulting in an average probability of detection of 0.18. Detection versus non detection for each LI is demonstrated in Fig. 10. This low probability of detection highlights the need for surveys with multiple repeats.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e3438">Pie charts of each LI detected during the York campaign showing detection frequency of its respective OPs.</p></caption>
            <graphic xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026-f10.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Emissions from other sources</title>
      <p id="d2e3456">While 177 of the 468 OPs were determined to be thermogenic, 39 were assigned as biogenic (8.3 %), 199 were pyrogenic (41.8 %) and 53 were not able to be assigned a source type. <inline-formula><mml:math id="M230" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios were investigated for the pyrogenic OPs using the same methodology used for <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> source assignment. 115 of the 199 pyrogenic OPs were able to be analysed in this way, 87 of these 115 OPs (75.7 %) had a <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>:</mml:mo><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratio <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.88</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This implied that the majority of pyrogenic emissions did not originate from traffic, but were more likely emissions from domestic heat and power generation (such as emissions from domestic boilers, Cliff et al., 2025).</p>
      <p id="d2e3533">Emissions from pyrogenic and biogenic sources were compared to thermogenic emissions at the OP stage on a mobile survey by mobile survey basis due to the high unlikelihood of pyrogenics and biogenics being persistent emission sources, the number of times each source type was detected per mobile survey is shown in Fig. 11.</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e3539">Total number of enhancements from each source type detected during each mobile survey of the York campaign.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026-f11.png"/>

        </fig>

      <p id="d2e3549">Thermogenics were the most frequently located source type on 13 of the 18 surveys, with mobile surveys 7, 18, 19, 21 and 22, finding pyrogenic emissions related to heating and cooking were the most frequently occurring source type.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Comparison to previous methods</title>
      <p id="d2e3560">The main alterations to this methodology from that presented in Weller et al. (2019) (and other studies that were based off this method) was the decrease in enhancement criteria from 1.1 times the baseline to 1.05 times the baseline, a decrease in the clustering time window from 5–1 <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> and the addition of a source determination stage as a core step in the algorithm, as opposed to previous iterations that either had no source determination stage, or one that came later in the analysis. Table 1 shows the effect of each of these changes on the resulting detection of OPs and LIs.</p>

<table-wrap id="T1"><label>Table 1</label><caption><p id="d2e3574">Number of detected OPs and LIs depending on algorithm parameters.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="45pt"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1" align="left">Enhancement</oasis:entry>

         <oasis:entry colname="col2">Time</oasis:entry>

         <oasis:entry colname="col3">Source</oasis:entry>

         <oasis:entry colname="col4">Number</oasis:entry>

         <oasis:entry colname="col5">Number</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" align="left">Criteria</oasis:entry>

         <oasis:entry colname="col2">Clustering</oasis:entry>

         <oasis:entry colname="col3">Determination</oasis:entry>

         <oasis:entry colname="col4">of OPs</oasis:entry>

         <oasis:entry colname="col5">of LIs</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2">Criteria / s</oasis:entry>

         <oasis:entry colname="col3">Included?</oasis:entry>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1" morerows="1" align="left">110 % of  baseline</oasis:entry>

         <oasis:entry colname="col2">5</oasis:entry>

         <oasis:entry colname="col3">No</oasis:entry>

         <oasis:entry colname="col4">179</oasis:entry>

         <oasis:entry colname="col5">27</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">Yes</oasis:entry>

         <oasis:entry colname="col4">66</oasis:entry>

         <oasis:entry colname="col5">6</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2">1</oasis:entry>

         <oasis:entry colname="col3">No</oasis:entry>

         <oasis:entry colname="col4">216</oasis:entry>

         <oasis:entry colname="col5">29</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">Yes</oasis:entry>

         <oasis:entry colname="col4">79</oasis:entry>

         <oasis:entry colname="col5">7</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="1" align="left">105 % of  baseline</oasis:entry>

         <oasis:entry colname="col2">5</oasis:entry>

         <oasis:entry colname="col3">No</oasis:entry>

         <oasis:entry colname="col4">357</oasis:entry>

         <oasis:entry colname="col5">58</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">Yes</oasis:entry>

         <oasis:entry colname="col4">144</oasis:entry>

         <oasis:entry colname="col5">23</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2">1</oasis:entry>

         <oasis:entry colname="col3">No</oasis:entry>

         <oasis:entry colname="col4">468</oasis:entry>

         <oasis:entry colname="col5">58</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" align="left"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">Yes</oasis:entry>

         <oasis:entry colname="col4">177</oasis:entry>

         <oasis:entry colname="col5">24</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3785">These results show the new methodology could locate more LIs. Binning into the leak rate categories of very small (0–2 <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</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>), small (2–6 <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</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>), medium (6–40 <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</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 high (<inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">min</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>) showed that of the 24 LIs in the new source filtered methodology, 2 were small and 22 were very small. For the 58 LIs of the new non filtered methodology, 9 were small and 49 were very small. For the 27 LIs detected in the original unaltered methodology 10 were small and 17 were very small. Finally, for the 6 LIs detected when applying the source determination step to the original unaltered methodology, 1 was small and 5 were very small. This shows the original methodology, requiring an enhancement of 1.1 times the baseline with 5 <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> time clustering, misses a large proportion of LIs that the newer methodology, requiring an enhancement of 1.05 times the baseline with 1 <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> time clustering, detects. A large proportion of these missed LIs occur in the very small category as expected with a smaller enhancement criteria. Source filtering shows that regardless of criteria used, less LIs will be detected with this included in the method. This suggests previous methodologies that do not use this stage may be mischaracterising some thermogenic enhancements as being permanent, as they may instead be detecting methane enhancements of differing source types that occur within the same vicinity of one another.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Comparison of alternate quantification approaches</title>
      <p id="d2e3891">As previously described, the quantification equation used within this body of work is based on the Tettenborn et al. (2025) approach of using peak area to calculate the leak rate of LIs. However, previous works have used the quantification equation present in Weller et al. (2019) which quantifies release rate based on peak height. This campaign's results were reprocessed using each of these previous quantification equations in order to compare the effects of the updated parameters in the York quantification equation to the original, present in Tettenborn et al. (2025) but also to explore the difference in quantified leak rates from a peak height approach. As previously mentioned, the results of the York quantification approach resulted in the 24 LIs being assigned to leak rate bins such that 2 were small and 22 were very small, the Tettenborn et al.  (2025) equation results in 1 medium, 1 small and 22 very small and the Weller et al. (2019) equation results in 1 small and 23 very small. The specific leak rates of LIs calculated with these three equations are presented in box-plots in Fig. 12.</p>

      <fig id="F12" specific-use="star"><label>Figure 12</label><caption><p id="d2e3896">Comparison of calculated leak rates of LIs detected during the York campaign, using each of the 3 quantification equations previously discussed.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/4459/2026/amt-19-4459-2026-f12.png"/>

        </fig>

      <p id="d2e3905">This shows that both the peak area approaches result in a much larger range of calculated leak rates from the LIs than from the peak height approach present in Weller et al. (2019). This suggests that the instrumentation used to detect <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> enhancements may result in low, wide peaks as opposed to higher, sharper peaks, thus explaining why leak rates are weighted much lower from this method. The Tettenborn et al. (2025) equation appears to be mostly consistent with the equation determined from the York methodology, however there is slightly higher weighting of leak rates with the Tettenborn et al. (2025) equation, resulting in the 24 LIs changing from the assignments of 5 small and 19 very small to 1 medium, 5 small and 18 very small.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e3929">This study focused on using the limitations of instrumentation to better inform a detection algorithm. Enhancement criteria was determined by investigating the variance of the MGGA, although laboratory experiments suggested the instrumentation was capable of detecting enhancements at a minimum of 1.005 times the baseline, in-field experiments showed that an enhancement criteria of 1.01 times the baseline was more likely the lower limit for detection. However, for the surveys a criteria of 1.05 times the background was selected so as to not incorporate small, diffuse emissions within the analysis. Response rate of the instruments was calculated to inform the time window for clustering, with both MGGA and TILDAS having sub 1 <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> response rate, the time clustering was limited to 1 <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> due to the limitations of GPS data collection speed. Employing the parameters used in previous methodologies, resulted in the detection of 27 LIs compared to the 58 LIs detected using updated parameters (53.5 % less), the parameter change has also shown the ability to detect more LIs in all leak rate categories, but in particular, the very small (0–2 <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">L</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">min</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>) category, where 17 of 27 LIs were located in the previous methodology, but 46 of the 58 were located in the new methodology.</p>
      <p id="d2e3965">Source determination proved to be a useful tool for predicting emissions directly related to natural gas, when source filtering was introduced at the OP stage of detection, it resulted in only 41.4 % of LIs still being detected as opposed to the non-source filtered method.</p>
      <p id="d2e3968">Additionally, source determination has helped to highlight that although thermogenic emissions from natural gas are the highest contributor to <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions, pyrogenic emissions related to domestic heat and power generation also provide a high, but often overlooked contribution to a city's <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions.</p>
      <p id="d2e3993">Updating the quantification equation from a peak height approach to a peak area approach resulted in a much wider range of leak rates being calculated in the study. However, these values were not as high as when quantified using the original equation presented in Tettenborn et al. (2025).</p>
      <p id="d2e3997">This new method has shown that by changing enhancement criteria and time clustering parameters, it is possible to detect many more LIs, but that by applying a source determination step at the OP detection stage there is a reduction in the number of detected LIs due to the reduction in the incorrect assignment of OPs. However, the methodology has the ability to improve further, primarily by employing instrumentation that is capable of detecting both <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> so as to remove uncertainty related to time lag between two instruments. Secondly, improvement can be made by having all instrumentation and hardware able to operate at a sub 1 <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> response rate in order to reduce the time clustering parameter limit and further improve spatial resolution.</p>
</sec>

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

      <p id="d2e4039">Code and survey data is available at:  <ext-link xlink:href="https://doi.org/10.5281/zenodo.20411639" ext-link-type="DOI">10.5281/zenodo.20411639</ext-link> (Moore, 2026).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e4045">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/amt-19-4459-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/amt-19-4459-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e4054">Contributed to conception: TCM, JRH, WSD, JDL. Contributed to data acquisition: TCM, JRH, WDS, SY, SHB, MDS, JDL. Contributed to analysis and interpretation of data: TCM, JRH, WSD, SY, JLF, JDL. Initial draft of paper: TCM. Subsequent drafts and/or revisions to paper: TCM, JRH, WSD, SY, MDL, DL, JLF, JDL. Approved the submitted version of this paper for publication: TCM, JRH, WSD, SY, SHB, MDS, ML, JLF, DL, JDL.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e4060">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="d2e4066">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="d2e4072">We would like to thank the NERC PANORAMA Doctoral Training Programme (NE/S007458/1), INGENIOUS (UnderstandING the sourcEs, traNsformations and fates of IndOor air pollUtantS) project, NERC grant number NE/W002256/1, for providing access to their data in the early stages of the method development. Additionally, we would like to thank both the National Physical Laboratory (NPL) and the MOMENTUM (Mobile Observations and quantification of Methane Emissions to inform National Targeting, Upscaling and Mitigation) project, NERC grant number NE/X014649/1, for organising and providing access to the controlled release experiment.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e4077">This research has been supported by the Natural Environment Research Council (grant no. NE/S007458/1).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e4083">This paper was edited by Daniela Famulari and reviewed by Hossein Maazallahi and one anonymous referee.</p>
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