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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"><?xmltex \bartext{Research article}?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-23-2315-2023</article-id><title-group><article-title>Pandemic restrictions in 2020 highlight the significance of non-road NO<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> sources in central London</article-title><alt-title>The significance of non-road NO<inline-formula><mml:math id="M2" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> sources in central London</alt-title>
      </title-group><?xmltex \runningtitle{The significance of non-road NO${}_{{x}}$ sources in central London}?><?xmltex \runningauthor{S. J. Cliff et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Cliff</surname><given-names>Samuel J.</given-names></name>
          <email>samcliff1@googlemail.com</email>
        <ext-link>https://orcid.org/0000-0002-1078-3972</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Drysdale</surname><given-names>Will</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>Lee</surname><given-names>James D.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5397-2872</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Helfter</surname><given-names>Carole</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5773-4652</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Nemitz</surname><given-names>Eiko</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1765-6298</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Metzger</surname><given-names>Stefan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4201-852X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Barlow</surname><given-names>Janet F.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Wolfson Atmospheric Chemistry Laboratories, Department of Chemistry, <?xmltex \hack{\break}?> University of York, YO105DD York, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>UK Centre for Ecology and Hydrology, Bush Estate, EH260QB Penicuik, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Battelle, National Ecological Observatory Network, 1685 38th Street, 80301 Boulder, CO, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Atmospheric and Oceanic Sciences, University of Wisconsin-Madison, <?xmltex \hack{\break}?> 1225 W Dayton St, 53711 Madison, WI, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Meteorology, University of Reading, RG66BB Reading, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Samuel J. Cliff (samcliff1@googlemail.com)</corresp></author-notes><pub-date><day>17</day><month>February</month><year>2023</year></pub-date>
      
      <volume>23</volume>
      <issue>4</issue>
      <fpage>2315</fpage><lpage>2330</lpage>
      <history>
        <date date-type="received"><day>20</day><month>September</month><year>2022</year></date>
           <date date-type="rev-request"><day>1</day><month>November</month><year>2022</year></date>
           <date date-type="rev-recd"><day>26</day><month>January</month><year>2023</year></date>
           <date date-type="accepted"><day>27</day><month>January</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 </copyright-statement>
        <copyright-year>2023</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e186">Fluxes of nitrogen oxides (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>) and carbon dioxide (<inline-formula><mml:math id="M4" 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>) were measured using eddy covariance at the British Telecommunications (BT) Tower in central London during the coronavirus pandemic. Comparing fluxes to those measured in 2017 prior to the pandemic restrictions and the introduction of the Ultra-Low Emissions Zone (ULEZ) highlighted a 73 % reduction in <inline-formula><mml:math id="M5" 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> emissions between the two periods but only a 20 % reduction in <inline-formula><mml:math id="M6" 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> emissions and a 32 % reduction in traffic load. Use of a footprint model and the London Atmospheric Emissions Inventory (LAEI) identified transport and heat and power generation to be the two dominant sources of <inline-formula><mml:math id="M7" 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> and <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> but with significantly different relative contributions for each species. Application of external constraints on <inline-formula><mml:math id="M9" 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> and <inline-formula><mml:math id="M10" 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> emissions allowed the reductions in the different sources to be untangled, identifying that transport <inline-formula><mml:math id="M11" 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> emissions had reduced by <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">73</mml:mn></mml:mrow></mml:math></inline-formula> % since 2017. This was attributed in part to the success of air quality policy in central London but crucially due to the substantial reduction in congestion that resulted from pandemic-reduced mobility. Spatial mapping of the fluxes suggests that central London was dominated by point source heat and power generation emissions during the period of reduced mobility. This will have important implications on future air quality policy for <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> which, until now, has been primarily focused on the emissions from diesel exhausts.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e333">Air pollution is thought to be the world's largest environmental risk to human health, causing an estimated 7 million premature deaths every year <xref ref-type="bibr" rid="bib1.bibx51" id="paren.1"/>. One species of pollutants of particular concern, especially in the UK, is <inline-formula><mml:math id="M14" 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>. Formed as a byproduct of high-temperature combustion, <inline-formula><mml:math id="M15" 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> is commonly emitted from the tailpipe exhaust of internal combustion engine vehicles and through the use of fossil fuels to generate heat and energy in the residential, commercial and industrial sectors. The major component of <inline-formula><mml:math id="M16" 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> is nitrogen dioxide (<inline-formula><mml:math id="M17" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), direct exposure to which is known to contribute to respiratory infections such as bronchitis and pneumonia <xref ref-type="bibr" rid="bib1.bibx6" id="paren.2"/>. Indirectly, <inline-formula><mml:math id="M18" 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> is a key component to the photochemical formation of ozone and fine particulate matter (PM<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula>). Exposure to ozone and PM<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> has additional adverse effects on the respiratory and cardiovascular systems <xref ref-type="bibr" rid="bib1.bibx53" id="paren.3"/>. Consequentially, <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and PM<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:math></inline-formula> were estimated to cost the UK's National Health Service (NHS) and social care GBP 1.6 billion between 2017 and 2025, rising to GBP 5.6 billion if diseases with less robust evidence for an association are included <xref ref-type="bibr" rid="bib1.bibx44" id="paren.4"/>. This<?pagebreak page2316?> has become particularly relevant since the start of the coronavirus pandemic, whereby long-term exposure to air pollution has been associated with the severity of COVID-19 cases <xref ref-type="bibr" rid="bib1.bibx26" id="paren.5"/>.</p>
      <p id="d1e446">In 2008, countries in the EU were set legally binding limits for <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations in line with the World Health Organisation (WHO) recommendations. These are 40 <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for the annual mean, with no more than 18 exceedances of the 200 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M27" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> hourly limit every year <xref ref-type="bibr" rid="bib1.bibx14" id="paren.6"/>. This target was expected to be met by 2010. In 2021, the WHO reduced the recommended annual mean limit by 75 % to 10 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M29" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx52" id="paren.7"/>.</p>
      <p id="d1e527">London is a megacity in the UK with extensive <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> air quality issues. Almost all roadside locations exceeded the European limit value for <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> every year between 2010 and 2016 <xref ref-type="bibr" rid="bib1.bibx16" id="paren.8"/>. Being in a highly developed position with significant resources, it has acted as a testing bed for policy intervention to try and curb emissions and to achieve these air quality targets. These have been focused largely on traffic pollution and congestion charging and have the primary goal of reducing <inline-formula><mml:math id="M32" 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> concentrations via reduced road transport emissions, either through reduced traffic numbers or through reduced average emission per vehicle per unit distance. Most notable is the introduction of the world's first Ultra-Low Emissions Zone (ULEZ), launched on 8 April 2019 with the zone spatially shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>a. This operates 24 h d<inline-formula><mml:math id="M33" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, 364 d a year (excludes Christmas Day) and requires a daily payment if the vehicle driven inside the zone does not meet the most stringent emissions standards (currently Euro III for motorbikes, Euro IV for petrol cars and Euro VI for diesel cars and larger vehicles) in addition to the congestion-charging payment within the same area. The ULEZ was expanded on 25 October 2021 up to the north and south circular roads in an 18-fold increase in size. In addition to policy, the coronavirus pandemic had significant implications on <inline-formula><mml:math id="M34" 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> emissions in the UK through reduced mobility. During 2020 and 2021, the UK staged three lockdowns with “stay-at-home” orders. Full details on the timings and the severity of lockdown restrictions in London can be found in Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F7"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e597"><bold>(a)</bold> The average footprint climatology for the September 2020–September 2021 time period, with the 30 %, 60 % and 90 % contribution contours and the location of the 24 ATC sites and the BT Tower site overlaid. <bold>(b)</bold> Spatial boundary of the ULEZ (red) and ULEZ expansion (blue) with the same footprint contribution contours presented in <bold>(a)</bold> overlaid as black lines and the BT Tower site marked as a black dot. Maps produced from Google Maps (© Google Maps 2022), accessed using an API in R.</p></caption>
        <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2315/2023/acp-23-2315-2023-f01.jpg"/>

      </fig>

      <p id="d1e614">Assessment of the impact of policy intervention and other external stimuli like the coronavirus pandemic on <inline-formula><mml:math id="M35" 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> emissions is crucial for the future design and implementation of air quality policy in the UK. Eddy covariance is a technique used to quantify the surface–atmosphere exchange of an atmospheric pollutant. The calculated flux coupled with a footprint model provides information on surface emissions, allowing for changes to be studied and for direct comparison to the emissions inventories used in policy development. Whilst most frequently used for measuring carbon dioxide exchange with ecosystems from stationary towers <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx21 bib1.bibx3" id="paren.9"/>, the technique has been extended to the urban canopy for both greenhouse gases and air pollutants <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx36 bib1.bibx25 bib1.bibx28" id="paren.10"/>, as well as to airborne measurements for the assessment of fluxes at a much greater spatial extent <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx41 bib1.bibx49" id="paren.11"/>. Recently, <xref ref-type="bibr" rid="bib1.bibx32" id="text.12"/> used long-term air pollutant emissions measurements to understand how COVID-19 restrictions impacted different sources of <inline-formula><mml:math id="M36" 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> in the small European city of Innsbruck, Austria. We undertake a similar analysis but for the megacity of London. This offers the perspective of a different location where not only are emissions much higher but where contributions from different sources can vary significantly due to the nature of the activity required to support both greater population size and density. With the number of megacities consistently increasing and being expected to reach 43 in 2030 (up from 31 in 2018), improving our understanding of the air pollutant sources in them is as critical as ever <xref ref-type="bibr" rid="bib1.bibx48" id="paren.13"/>.</p>
      <p id="d1e655">Here, we present the first year of data from the long-term <inline-formula><mml:math id="M37" 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> flux measurement programme at the BT Tower (London, UK). As the only long-term measurements of <inline-formula><mml:math id="M38" 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> emissions from a megacity in the world, this is a highly unique and potentially informative data set. The <inline-formula><mml:math id="M39" 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> emissions measurements are combined with additional <inline-formula><mml:math id="M40" 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> emissions measurements, a footprint model and the London Atmospheric Emissions Inventory (LAEI) and are compared to previous measurements in 2017 to source apportion changes in emissions due to the coronavirus pandemic and the ULEZ. Resulting policy implications are inferred.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Experimental</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Measurement site</title>
      <p id="d1e717">Instruments for measuring fluxes of urban air pollutants and greenhouse gases are situated in a small laboratory atop the BT Tower located in central London, UK (51<inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>31<inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>17.4<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> N, 0<inline-formula><mml:math id="M44" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>8<inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula>20.04<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> W). The measurement height is 190 m above street level, with a mean building height of <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.8</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3.0</mml:mn></mml:mrow></mml:math></inline-formula> m in the 10 km radius surrounding the tower <xref ref-type="bibr" rid="bib1.bibx36" id="paren.14"/>. The gas inlet and ultrasonic anemometer are attached to a solid mast that extends 3 m above the top of the tower. Air is pumped down a 45 m Teflon tube (<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">8</mml:mn><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> OD) in a turbulent flow of 20–25 L min<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to the gas instruments, which are situated in a small air-conditioned room inside the tower on the 35th floor.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><?xmltex \opttitle{NO${}_{{x}}$ measurements}?><title>NO<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> measurements</title>
      <p id="d1e844">Long-term measurements of NO and <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> fluxes began in September 2020 with data presented here up to September 2021. Data are compared to previous measurements made by <xref ref-type="bibr" rid="bib1.bibx11" id="text.15"/> from March–August 2017. Both chemical species were measured using a dual-channel chemiluminescence analyser (Air Quality Design Inc., Boulder Colorado, USA; 5 Hz), as described previously by <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx11" id="text.16"/>. The number of photons<?pagebreak page2317?> measured by the photomultiplier tube was converted into a part-per-trillion (ppt) mixing ratio using a five-point calibration curve produced through dilutions of a 5 ppm NO in <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> calibration standard (BOC Ltd., UK; traceable to the scale of the UK National Physical Laboratory, NPL) into <inline-formula><mml:math id="M53" 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>-free air (generated from an external Sofnofil and activated charcoal trap). <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was calculated by conversion of <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> into NO using a photolytic blue-light converter (BLC). Here, both NO and <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were measured, from which <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:mrow></mml:math></inline-formula> can be quantified by subtracting the NO mixing ratio and applying a correction factor for the conversion efficiency of the BLC. The instrument was calibrated every 37 h in addition to an hourly zero measurement to subtract the temperature-dependent background signal of each channel. The uncertainty of the NO measurement is given as <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> %, resulting from uncertainties in the sample mass flow controller, calibration gas mass flow controller and calibration gas certification. The uncertainty for the <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> measurement is given as <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.7</mml:mn></mml:mrow></mml:math></inline-formula> % due to the additional uncertainty in the conversion efficiency calculation, determined in the laboratory via variation in repeated tests. The precision for each channel is calculated as 53 and 184 ppt for NO and <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> respectively from the standard deviation in all the hourly zeros during the measurement period.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><?xmltex \opttitle{CO${}_{{2}}$ measurements}?><title>CO<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> measurements</title>
      <p id="d1e992">Long-term measurements of <inline-formula><mml:math id="M63" 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> have been ongoing at the BT Tower since 2011 as part of UKCEH's National Capability programme. Dry mass fractions (<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> precision <inline-formula><mml:math id="M65" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 300 ppb) were measured initially using a cavity ringdown spectrometer (Model 1301-f, Picarro Inc., Santa Clara, California, USA; 10 Hz) as described by <xref ref-type="bibr" rid="bib1.bibx25" id="text.17"/>. Unfortunately, instrumental failure means data are not available between February and June 2021, after which a closed-path infrared gas analyser (Li-7000, LI-COR Environmental, Lincoln, Nebraska, USA; 10 Hz) took over the <inline-formula><mml:math id="M66" 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> flux measurement.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Meteorological measurements</title>
      <p id="d1e1045">Meteorological measurements were made at the BT Tower as described by <xref ref-type="bibr" rid="bib1.bibx33" id="text.18"/>. Wind speed, wind direction and sonic temperature were measured using an ultrasonic anemometer (Gill R3-50, Gill Instruments, Lymington, UK; 20 Hz) along with pressure and relative humidity measurements using a weather station (WXT520, Vaisala Corp. Helsinki, Finland; 1 Hz). For ease of processing, each chemical species is logged separately at its maximum measurement frequency into a file with the sonic-anemometer data averaged to the same measurement frequency.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page2318?><sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Flux calculations</title>
      <p id="d1e1061">The flux, <inline-formula><mml:math id="M67" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>, is defined in this context as the vertical transport of a chemical species per unit area per unit time. Hourly fluxes were calculated using eddy covariance theory as described by Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>), where <inline-formula><mml:math id="M68" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula> is equal to the covariance between the instantaneous change in vertical wind speed, <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, and the instantaneous change in species concentration, <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msup><mml:mi>c</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, averaged over the hour.
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M71" display="block"><mml:mrow><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>c</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></disp-formula>
          Eddy covariance calculations were performed using the modular software packages in eddy4R, adopting the same processing settings described in <xref ref-type="bibr" rid="bib1.bibx11" id="text.19"/>, as adapted from <xref ref-type="bibr" rid="bib1.bibx46" id="text.20"/>. This was to allow a direct comparison to be made to the previous measurements made in 2017. The lag time correction was determined by maximisation of the cross-covariance between the pollutant concentration and the vertical wind component, with an additional application of a high-pass filter which improves the precision of the determined lag time by an order of magnitude <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx46" id="paren.21"/>. This resulted in median lag times of 7.2 s for NO, 7.6 s for <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and 21 s for <inline-formula><mml:math id="M73" 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>. Data were filtered such that the friction velocity (<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msup><mml:mi>u</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) is <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> to ensure sufficiently developed turbulence and using eddy4R's quality control flagging scheme. The QA/QC process is described in detail by <xref ref-type="bibr" rid="bib1.bibx45" id="text.22"/> and <xref ref-type="bibr" rid="bib1.bibx42" id="text.23"/>. Data are flagged as either valid or invalid based on the combination of individual flags for input data validation, homogeneity and stationarity, and development of turbulence.</p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Flux uncertainties</title>
<sec id="Ch1.S2.SS6.SSS1">
  <label>2.6.1</label><?xmltex \opttitle{NO${}_{{x}}$ chemistry}?><title>NO<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> chemistry</title>
      <p id="d1e1211">Eddy covariance has traditionally only been used for relatively unreactive greenhouse gases with long atmospheric lifetimes such as <inline-formula><mml:math id="M77" 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>. Attempting the calculation of <inline-formula><mml:math id="M78" 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> fluxes is potentially problematic due to the greater reactivity and hence shorter lifetime of the species. If the loss rates of the reactive species are of a similar timescale to the vertical transport to the measurement height, the measured flux would be an underestimate and would not be representative of those emitted at the ground. In the case of <inline-formula><mml:math id="M79" 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>, the major loss route to the atmosphere is via the reaction between <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and OH. The rate constant for this simple association reaction can be calculated for the BT-Tower-specific conditions from Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) using mean values of temperature (<inline-formula><mml:math id="M81" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, 289 K) and pressure (<inline-formula><mml:math id="M82" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>, 989 hPa) <xref ref-type="bibr" rid="bib1.bibx27" id="paren.24"/>. This is derived from the low-pressure limiting rate constant (<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) and the high-pressure limiting rate constant (<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) using location-specific total gas concentrations ([<inline-formula><mml:math id="M85" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>]). <inline-formula><mml:math id="M86" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M87" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> are simple exponents for the given reaction, in this case 3 and 0 respectively.
<?xmltex \hack{\newpage}?><?xmltex \hack{\vspace*{-6mm}}?>
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M88" display="block"><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{8.8}{8.8}\selectfont$\displaystyle}?><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mo>[</mml:mo><mml:mi>M</mml:mi><mml:mo>]</mml:mo><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mfenced open="{" close="}"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>[</mml:mo><mml:mi>M</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>[</mml:mo><mml:mi>M</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:msup><mml:mn mathvariant="normal">0.6</mml:mn><mml:mrow><mml:msup><mml:mfenced close="}" open="{"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:msup><mml:mfenced close="]" open="["><mml:mrow><mml:msub><mml:mi>log⁡</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub><mml:mfenced close=")" open="("><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>[</mml:mo><mml:mi>M</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:msup><?xmltex \hack{$\egroup}?><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M89" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>k</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msubsup><mml:mi>k</mml:mi><mml:mn mathvariant="normal">0</mml:mn><mml:mn mathvariant="normal">298</mml:mn></mml:msubsup><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">298</mml:mn><mml:mi>T</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mi>n</mml:mi></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msubsup><mml:mi>k</mml:mi><mml:mi mathvariant="normal">∞</mml:mi><mml:mn mathvariant="normal">298</mml:mn></mml:msubsup><mml:msup><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">298</mml:mn><mml:mi>T</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mi>m</mml:mi></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>[</mml:mo><mml:mi>M</mml:mi><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>P</mml:mi><mml:msub><mml:mi>A</mml:mi><mml:mi>v</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi>R</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d1e1607">Assuming a simple first-order loss rate, the level of <inline-formula><mml:math id="M90" 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> loss to the atmosphere can then be estimated from Eq. (<xref ref-type="disp-formula" rid="Ch1.E6"/>) using the previously determined rate constant (<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mo>[</mml:mo><mml:mi>M</mml:mi><mml:mo>]</mml:mo><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.973</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), the concentration of OH ([OH]) and the transport time to the measurement height (<inline-formula><mml:math id="M92" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>).
              <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M93" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:msub><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi>k</mml:mi><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow><mml:mo>]</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>
            Since [OH] is not routinely measured in London, a typical midday summer value of <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is used from London measurements in 2012, which would represent the maximum loss rate observed throughout the year <xref ref-type="bibr" rid="bib1.bibx37" id="paren.25"/>. <xref ref-type="bibr" rid="bib1.bibx2" id="text.26"/> estimate a typical transport time of <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> min for the BT Tower, although under stable conditions this could increase to 20–50 min. This results in a loss of 2 %, increasing up to 11 % for a 50 min transport time. The 11 % loss represents the maximum loss observed at the BT Tower, since it occurs under the most stable conditions during peak OH concentrations for London in summer. In reality, this level of loss will not be observed in the data, since stable conditions are filtered out in the QA/QC process, and the majority of the OH concentration present throughout the year is less than that used in this calculation. Since it is much more likely to be at or below the 2 % threshold, we consider <inline-formula><mml:math id="M96" 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> reactivity to be a minor uncertainty in the flux calculations, and a correction is not applied.</p>
</sec>
<sec id="Ch1.S2.SS6.SSS2">
  <label>2.6.2</label><title>Vertical flux divergence</title>
      <?pagebreak page2319?><p id="d1e1767">Another source of uncertainty is the size of the measurement height relative to the boundary layer. At 191 m, the sample inlet and sonic anemometer are often an appreciable portion of the boundary layer and can extend above the constant flux layer. On occasion, this results in concentration enhancements below the measurement height and an underestimation of the surface flux through vertical flux divergence (VFD). The impact of storage and vertical flux divergence at the BT Tower has been discussed previously by <xref ref-type="bibr" rid="bib1.bibx25" id="text.27"/> and <xref ref-type="bibr" rid="bib1.bibx11" id="text.28"/> and, in the absence of concentrations and wind measurements at different heights up the tower, remains a notable source of uncertainty in the measurement. <xref ref-type="bibr" rid="bib1.bibx25" id="text.29"/> speculate that venting after the onset of turbulence would capture some, if not most, of the material stored below the measurement height. <xref ref-type="bibr" rid="bib1.bibx11" id="text.30"/> demonstrate a correction for vertical flux divergence as a function of effective measurement height and effective entrainment height. The correction was typically around 20 % for 2017 but is not applied to the data due to uncertainties in the boundary layer height data. Since this work studies relative magnitudes between two periods, the impact of vertical flux divergence will likely cancel out, provided the meteorology is similar. Boundary layer height was on average 8 % lower in 2020–2021 compared to the 2017 measurement period. As such, a comparison between the VFD correction presented in <xref ref-type="bibr" rid="bib1.bibx11" id="text.31"/> for both periods was conducted. The lower boundary layer height in 2020–2021 meant that the correction was slightly higher at 24 %. A discussion on the impact this had on the results of this paper is given in Sect. <xref ref-type="sec" rid="Ch1.S3"/>.</p>
</sec>
<sec id="Ch1.S2.SS6.SSS3">
  <label>2.6.3</label><title>High- and low-frequency loss</title>
      <p id="d1e1796">Due to the height of the measurement and the large eddy size above the urban roughness layer, the high-frequency contributions to the fluxes are expected to be small. <xref ref-type="bibr" rid="bib1.bibx11" id="text.32"/> calculated high-frequency loss for NO and <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at the BT Tower via co-spectra relative to temperature measured at 20 Hz. Correction factors above 1 Hz were shown to be of the order of 2 %–3 %. Losses due to low frequency can occur due to an insufficient length of averaging period. Previous studies at the BT Tower for 30 min flux averaging periods have calculated losses due to high-pass filtering to be <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> % <xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx35" id="paren.33"/>. Since a 60 min averaging period is used here, loss will be even lower. Both of these errors are considered minor, and as a result, no correction has been applied.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS7">
  <label>2.7</label><title>Footprint modelling</title>
      <p id="d1e1835">A parameterised version of the backwards Lagrangian stochastic particle dispersion model implemented in eddy4R was used to estimate the footprint for each hourly flux measurement at the BT Tower. The model is described by <xref ref-type="bibr" rid="bib1.bibx29" id="text.34"/> and has been parameterised for a range of meteorological conditions and receptor heights to reduce the computational expense of running it. The original model aims to produce a cross-wind-integrated footprint function as a function of its along-wind distance, which has now been further extended into two dimensions using a Gaussian distribution driven by the standard deviation in the cross-wind component <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx30" id="paren.35"/>. Meteorology statistics from the eddy covariance calculations are used in combination with modelled boundary layer height from ERA5 <xref ref-type="bibr" rid="bib1.bibx5" id="paren.36"/> and a surface roughness length of 1.1 m to produce a weighted matrix of <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mn mathvariant="normal">100</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> m grid cells. Each output-weighted matrix was then scaled and aligned to an appropriate coordinate reference system to allow each matrix to be plotted onto a map.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page2320?><sec id="Ch1.S2.SS8">
  <label>2.8</label><title>Traffic data</title>
      <p id="d1e1868">Hourly traffic loads surrounding the BT Tower were calculated by summing the traffic load from each of the 24 automatic traffic counters (ATCs) within the flux footprint, as shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. This gave an indication of the magnitude of traffic load for both measurement periods and allowed relative changes to be studied between the two years. In addition, daily vehicle length breakdown was examined, from which vehicles were separated into three length classes: <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5.2</mml:mn></mml:mrow></mml:math></inline-formula> m, indicating the number of passenger cars; 5.2–12 m, indicating the number of vans and rigid lorries; and <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> m, indicating the number of buses and articulated lorries. As the LAEI estimates that almost all lorry emissions in central London are due to the rigid class, the <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> m class is assumed to solely be made up of buses. Data were provided by the Operational Analysis Department, Transport for London (TFL) via a freedom-of-information request <xref ref-type="bibr" rid="bib1.bibx47" id="paren.37"/>.</p>
</sec>
<sec id="Ch1.S2.SS9">
  <label>2.9</label><title>Emissions inventories</title>
      <p id="d1e1914">The London Atmospheric Emissions Inventory (LAEI) is a spatially disaggregated 1 km<inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> gridded map of the annual emissions of various air pollutants for the London area up to the M25 motorway ring road <xref ref-type="bibr" rid="bib1.bibx19" id="paren.38"/>. Annual emissions are estimated using emission factors and activity factors for the different sources. For example, emissions from domestic combustion in tonnes per year would be calculated as gas consumption (GW h per year) <inline-formula><mml:math id="M104" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> emission factor (tonnes of pollutant per GW h). The inventory is produced roughly every 3 years by TFL and the Greater London Authority (GLA). At the time of writing, there were no inventory estimates for the pandemic-affected years of 2020 and 2021. We therefore use the most recent version produced in 2016, which relates to a “normal” year unaffected by lockdowns, to understand how emissions have changed since the 2017 measurements.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1938">Time series from September 2020 to September 2021 for daily time-averaged <inline-formula><mml:math id="M105" 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> flux, <inline-formula><mml:math id="M106" 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> flux, traffic load around the tower and stringency index in the UK. Also shown are monthly averages for each variable as red dots centred around the centre of each month. Average median diurnal profiles with error bars (calculated as the combination of random and systematic errors in the flux calculations, as described by <xref ref-type="bibr" rid="bib1.bibx39" id="text.39"/>) for the data are shown to the right in blue for 2020–2021 in comparison to those generated from the 2017 data in red.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2315/2023/acp-23-2315-2023-f02.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
      <p id="d1e1981">Of the 8760 h in the year, 7034 h of <inline-formula><mml:math id="M107" 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> fluxes were calculated. Data loss was largely due to instrument or sample pump failure. Of these 7034 h, a further 3621 h were removed by the quality control flagging to leave 3413 h of <inline-formula><mml:math id="M108" 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> fluxes to be analysed. These data are displayed in Fig. <xref ref-type="fig" rid="Ch1.F2"/> along with measured <inline-formula><mml:math id="M109" 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> flux, traffic load around the tower and the UK's restrictions stringency index as calculated by the Oxford COVID-19 Government Response Tracker <xref ref-type="bibr" rid="bib1.bibx22" id="paren.40"/>. Traffic load around the tower was strongly anti-correlated with stringency index, as expected. However, there was no obvious correlation of <inline-formula><mml:math id="M110" 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> flux with traffic load. In fact, <inline-formula><mml:math id="M111" 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> flux displays an anti-correlation with traffic flow and stringency index from April to August. This is likely due to a reduction in heat and power generation emissions due to the warmer weather, which is a first indication that traffic may not be the dominant source of <inline-formula><mml:math id="M112" 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> flux during this period. Traffic loads had not recovered to pre-pandemic levels either (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F9"/>) despite the fact that all lockdown restrictions were fully removed on 21 June 2021, hinting at a more long-term change in behaviour. This is not unexpected, as the stringency index remained at 40 %, mainly due to self-isolation requirements and international travel restrictions, which were still present at this stage. In the absence of a long-term time series from which a number of studies have used boosted regression models to predict normal emission scenarios, we compare data to that previously measured from March–August 2017 by <xref ref-type="bibr" rid="bib1.bibx11" id="text.41"/>. This is an ideal time period for comparison, since the measurement footprint was very similar (see Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F8"/>), and meteorological conditions meant minimal bias was expected between the years (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS6.SSS2"/>). Average diurnal <inline-formula><mml:math id="M113" 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> fluxes were down by 73 % (3.45 mg m<inline-formula><mml:math id="M114" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M115" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. 12.88 mg m<inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). However, only a corresponding 20 % reduction in <inline-formula><mml:math id="M118" 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> flux (2455 mg m<inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. 3062 mg m<inline-formula><mml:math id="M121" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> h<inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) and a 32 % reduction in traffic load (16 540 vehicles per day vs. 24 405 vehicles per day) around the measurement site were observed. These changes can be clearly seen in the diurnal profiles in Fig. <xref ref-type="fig" rid="Ch1.F2"/>. These % changes were calculated after application of the different vertical flux divergence corrections discussed in Sect. <xref ref-type="sec" rid="Ch1.S2.SS6.SSS2"/>, and they exhibited a negligible variation of <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> %.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2202">Inventory-estimated breakdown of emissions for <inline-formula><mml:math id="M124" 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> <bold>(a)</bold> and <inline-formula><mml:math id="M125" 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> <bold>(b)</bold> in tonnes for March through August of 2017, as determined from the inventory emissions extraction for our 1-hourly measurement footprints. LGV <inline-formula><mml:math id="M126" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> light-goods vehicles; HGV <inline-formula><mml:math id="M127" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> heavy-goods vehicles; NRMM <inline-formula><mml:math id="M128" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> non-road mobile machinery.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2315/2023/acp-23-2315-2023-f03.png"/>

      </fig>

<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Calculation of inventory-estimated emissions</title>
      <p id="d1e2268">Estimated emissions from the London Atmospheric Emissions Inventory (LAEI) for the measurement footprint were calculated to aid understanding of these observations. The hourly-footprint-weighted matrix output from eddy4R was used to select the relevant areas of the LAEI. The theoretical contribution to the flux was extracted from each footprint grid cell and scaled for hour of day, day of week and month of year for each emissions sector using a set of anthropogenic scaling factors described by <xref ref-type="bibr" rid="bib1.bibx11" id="text.42"/>. An excellent agreement between the diurnal profiles and measurement footprint (shown in Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F8"/>) for the 2017 and 2020–2021 measurement periods was seen. This gave us confidence that any changes in emissions were not to do with sampling in different times of year or sampling in different areas of central London. The source breakdown of the 2017 inventory-generated time series for both <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M130" 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> is shown in Fig. <xref ref-type="fig" rid="Ch1.F3"/>. Emissions of both species are almost entirely made up from combustion of fossil fuels to generate heat and power in the domestic, commercial and industrial sectors and the transport sector, which is dominated by various forms of road transport. However, each species has a significantly different relative contribution from each sector. A total of 75 % of <inline-formula><mml:math id="M131" 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> emissions are estimated to arise from heat and power generation, but only 42 % of <inline-formula><mml:math id="M132" 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> emissions are estimated to arise from the same source.</p>
</sec>
<?pagebreak page2322?><sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Source apportionment of emissions reduction</title>
      <p id="d1e2332">The inventory breakdown for each species and the different percentage reductions in measured emissions since 2017 were used to disentangle changes in emissions of each sector. This was done simultaneously using a number of assumptions.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e2338">A summary of the data used in the formation of simultaneous Eqs. (<xref ref-type="disp-formula" rid="Ch1.E7"/>) and (<xref ref-type="disp-formula" rid="Ch1.E8"/>).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M133" 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></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M134" 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></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">% measured reduction in emissions since 2017</oasis:entry>
         <oasis:entry colname="col2">73 %</oasis:entry>
         <oasis:entry colname="col3">20 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">% contribution from heat and power generation</oasis:entry>
         <oasis:entry colname="col2">0 %–50 % (<inline-formula><mml:math id="M135" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">75 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">% contribution from transport</oasis:entry>
         <oasis:entry colname="col2">50 %–100 % (<inline-formula><mml:math id="M136" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">25 %</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">% reduction in heat and power generation emissions</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M137" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M138" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">% reduction in transport emissions</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msup><mml:mi>y</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M140" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e2489"><xref ref-type="bibr" rid="bib1.bibx25" id="text.43"/> highlight the excellent agreement of <inline-formula><mml:math id="M141" 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> emissions measured at the BT Tower with those estimated by the LAEI, and thus, the source contributions of 75 % from heat and power generation and 25 % from transport for <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are taken as accurate here. On the other hand, previous observations have shown a significant underestimation of <inline-formula><mml:math id="M143" 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> emissions in central London <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx11" id="paren.44"/>. This is most likely due to an underrepresentation of road transport <inline-formula><mml:math id="M144" 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> emissions, in line with a poor representation of diesel vehicle emissions and/or congestion. Therefore, rather than using the inventory-predicted <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mn mathvariant="normal">42</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">58</mml:mn></mml:mrow></mml:math></inline-formula> split for heat and power generation:transport, the relative contributions were varied. Labelled as <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="italic">β</mml:mi></mml:mrow></mml:math></inline-formula>, different scenarios between <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mn mathvariant="normal">50</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> (where <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> %) were chosen to represent all possible levels of <inline-formula><mml:math id="M150" 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> underestimation. The percentage reduction in heat and power generation emissions for both species is labelled as <inline-formula><mml:math id="M151" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> with the assumption that any reduction in this sector's emissions would have the same reduction in measured flux for both species. With minimal legislation for the sector introduced between 2017 and 2020–2021 and a failure to address <inline-formula><mml:math id="M152" 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> emissions from boilers in the UK's Clean Air Strategy, this assumption is considered reasonable <xref ref-type="bibr" rid="bib1.bibx7" id="paren.45"/>. However, this is likely to be untrue for transport. Policy implemented between the two measurement periods specifically targeted <inline-formula><mml:math id="M153" 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> emissions, and <inline-formula><mml:math id="M154" 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> emissions are disproportionately higher in higher traffic loads due to the ineffectiveness of exhaust treatment systems in that environment. Additionally, the modernisation of the vehicle fleet will have introduced more vehicles with lower <inline-formula><mml:math id="M155" 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> emission ratios. Therefore, the relative change in the emissions of <inline-formula><mml:math id="M156" 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> and <inline-formula><mml:math id="M157" 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> from traffic sources may not have been the same, and different values are given here as <inline-formula><mml:math id="M158" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msup><mml:mi>y</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. This information is all summarised in Table <xref ref-type="table" rid="Ch1.T1"/>, with the two independent constraints displayed in Eq. (<xref ref-type="disp-formula" rid="Ch1.E7"/>) for <inline-formula><mml:math id="M160" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and Eq. (<xref ref-type="disp-formula" rid="Ch1.E8"/>) for <inline-formula><mml:math id="M161" 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>:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M162" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E7"><mml:mtd><mml:mtext>7</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="italic">δ</mml:mi><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:mo>=</mml:mo><mml:mn mathvariant="normal">0.75</mml:mn><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mo>[</mml:mo><mml:mn mathvariant="normal">32</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">100</mml:mn><mml:mo>]</mml:mo></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">20</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E8"><mml:mtd><mml:mtext>8</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="italic">δ</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow><mml:mo>=</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:msubsup><mml:mi>y</mml:mi><mml:mrow><mml:mo>[</mml:mo><mml:mn mathvariant="normal">73</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mn mathvariant="normal">100</mml:mn><mml:mo>]</mml:mo></mml:mrow><mml:mo>′</mml:mo></mml:msubsup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">73</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">%</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

            The different scenarios are visualised in Fig. <xref ref-type="fig" rid="Ch1.F4"/> to aid understanding of the possible solutions. Two bounding conditions drawn as dashed lines are applied to constrain the solutions. These are as follows: (1) a reduction in transport emissions greater than 100 % is not possible, and (2) <inline-formula><mml:math id="M163" 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> emissions from transport must have decreased by at least 32 % in line with the 32 % reduction in traffic load. In reality, <inline-formula><mml:math id="M164" 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> emissions will have decreased by more than 32 % as a result of the fleet modernisation which has lead to a decrease in the average <inline-formula><mml:math id="M165" 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> emissions per new vehicle registration <xref ref-type="bibr" rid="bib1.bibx13" id="paren.46"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2899">A plot showing the external constraints on <inline-formula><mml:math id="M166" 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> and <inline-formula><mml:math id="M167" 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> emissions. Equation (<xref ref-type="disp-formula" rid="Ch1.E7"/>) is shown as the solid black line, and Eq. (<xref ref-type="disp-formula" rid="Ch1.E8"/>) is shown as the coloured solid lines, with each colour reflecting a different value of <inline-formula><mml:math id="M168" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>. The two horizontal dashed lines represent the two discussed constraints, and the vertical dashed line shows the constraint that the minimum reduction of 32 % in traffic <inline-formula><mml:math id="M169" 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> emissions places on the <inline-formula><mml:math id="M170" 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> scenarios. All possible solutions when the constraints are applied are highlighted by the shaded green area.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2315/2023/acp-23-2315-2023-f04.png"/>

        </fig>

      <p id="d1e2964">Highlighted in green are all the resulting possible solutions where, crucially, to achieve the observed reductions in <inline-formula><mml:math id="M171" 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> flux, there must have been a 73 %–100 % reduction in transport <inline-formula><mml:math id="M172" 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> emissions, with transport contributing <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula> % to total <inline-formula><mml:math id="M174" 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> emissions. This transport contribution percentage demonstrates the underestimation in the inventory of transport emissions, in agreement with <xref ref-type="bibr" rid="bib1.bibx28" id="text.47"/> and <xref ref-type="bibr" rid="bib1.bibx11" id="text.48"/>. However, the most interesting observation is that a 73 %–100 % decrease in transport <inline-formula><mml:math id="M175" 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> emissions is seen for only a 32 % decrease in traffic load since 2017.</p>
      <?pagebreak page2323?><p id="d1e3028">When compared to concentrations, we found that <inline-formula><mml:math id="M176" 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> concentrations at Marylebone Road, a kerbside monitoring site within the flux footprint, had declined by 62 % between the two periods (248 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M178" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. 95 <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M180" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). This is increased to 69 % (214 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M182" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. 67 <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) when looking at the roadside increment concentration (roadside – urban background) as determined from Marylebone Road and London North Kensington monitoring sites. Whilst this was slightly lower in magnitude than the measured change in flux, the concentration data will have been heavily influenced by meteorology, and so some disagreement was expected. There are a number of plausible explanations for the large decrease in <inline-formula><mml:math id="M185" 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> fluxes. The introduction of the ULEZ is thought to have resulted in a pre-pandemic 31 % reduction in <inline-formula><mml:math id="M186" 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> emissions from road transport in central London <xref ref-type="bibr" rid="bib1.bibx20" id="paren.49"/>; this is likely to be an upper estimate for our measurements due to the fact of a significant proportion of our flux footprint being situated outside of the ULEZ zone. With average traffic loads between April and November 2019 after the ULEZ was introduced only being down 1.8 % on 2018 levels for the same period, the vast majority of the reduction is due to a clean-up of the fleet, which reduces the emissions per vehicle per unit distance. The remaining emissions are further reduced by 32 % due to there being 32 % less vehicles on the roads surrounding the BT tower during the pandemic. This leaves <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> %–45 % of unaccounted-for emissions reduction. A small portion of this unaccounted-for reduction may be due to a 40 % reduction in the number of buses on the roads surrounding the BT Tower during 2020–2021. The <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> m class of the vehicle length breakdown in Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F10"/> represents the bus classification. With buses making up 17 % of the total <inline-formula><mml:math id="M189" 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> emissions from road transport, the decrease in relative proportion between 2017 and 2020–2021 could result in a maximum of 7 % extra reduction in <inline-formula><mml:math id="M190" 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> emissions. It is likely to be less than 7 % due to the small increase in the relative proportion of the 5.2–12 m class.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3195">Comparison of the measured <inline-formula><mml:math id="M191" 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> flux with hourly traffic load (sum of the 24 surrounding ATCs) for March through August 2017 (red) and September 2020–September 2021 (blue). The data are split by wind direction: north (315–45<inline-formula><mml:math id="M192" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), east (45–135<inline-formula><mml:math id="M193" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), south (135–225<inline-formula><mml:math id="M194" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) and west (225–315<inline-formula><mml:math id="M195" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>). In the top left of each facet is the Spearman correlation coefficient for each year for the corresponding wind direction.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2315/2023/acp-23-2315-2023-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Flux correlations with traffic load</title>
      <p id="d1e3259">Examining how the <inline-formula><mml:math id="M196" 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> flux correlated with traffic load for both measurement time periods gives further insight into the unaccounted emissions reduction. Figure <xref ref-type="fig" rid="Ch1.F5"/> generally shows significantly enhanced <inline-formula><mml:math id="M197" 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> emissions in 2017 above 25 000 vehicles per hour. With road transport being the dominant source during these measurements, it is highlighting what is thought to be the effect of congestion on <inline-formula><mml:math id="M198" 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> emissions.</p>
      <p id="d1e3297">During periods of high congestion, increased emissions are expected due to increased length in journey time, a greater number of accelerations in the stop–start nature of traffic and the reduced effectiveness of exhaust gas <inline-formula><mml:math id="M199" 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> treatment systems in diesel vehicles at low engine temperatures <xref ref-type="bibr" rid="bib1.bibx4" id="paren.50"/>. The effect of congestion on <inline-formula><mml:math id="M200" 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> emissions is highly dependent on several variables, including the fleet composition, type of exhaust treatment system and the actual level of congestion <xref ref-type="bibr" rid="bib1.bibx31" id="paren.51"/>. It is thought that, for individual roads, excess emissions from congestion can be anything up to 75 % greater than those from non-congested roads <xref ref-type="bibr" rid="bib1.bibx18" id="paren.52"/>. Therefore, it is thought that reducing the peak-traffic load below 25 000 vehicles per hour has had a large impact on traffic <inline-formula><mml:math id="M201" 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> emissions, more than accounting for the remaining emissions reduction.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Spatial mapping</title>
      <p id="d1e3351">This change in emissions is clearly seen in the spatial mapping of the <inline-formula><mml:math id="M202" 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> fluxes in Fig. <xref ref-type="fig" rid="Ch1.F6"/>. <xref ref-type="bibr" rid="bib1.bibx11" id="text.53"/> assigned the heightened emissions to the northeast of the BT Tower in Fig. <xref ref-type="fig" rid="Ch1.F6"/>a to Euston station, including not only the train station but also the large Euston bus station, taxi ranks and busy roads feeding the station. In addition, the high fluxes measured to the southwest are assigned to highly congested streets such as Oxford Street, Regent Street and Piccadilly. Both areas are associated with high traffic volumes and congestion and support the notion that road transport emissions dominated in central London in 2017. However, these areas have almost an order of magnitude smaller emissions and are barely visible for 2020–2021 when shown on the same scale. This adds additional support to the conclusion that reduced traffic load and thus reduced congestion in 2020–2021 have been a major cause of the reduced <inline-formula><mml:math id="M203" 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> flux.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e3385"><inline-formula><mml:math id="M204" 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> flux surfaces as a function of along-wind distance to the footprint maximum contribution and wind direction, as derived by <xref ref-type="bibr" rid="bib1.bibx11" id="text.54"/>, for <bold>(a)</bold> March through August 2017 and <bold>(b)</bold> September 2020 to September 2021, displayed on the same scale for ease of visual comparison. Also shown in <bold>(c)</bold>: September 2020 to September 2021 on its own scale with the border for the University of London overlaid in white. The location of the BT Tower site is displayed as a red dot in each spatial map. Maps are produced using Google Maps (© Google Maps 2022), accessed using an API in R.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2315/2023/acp-23-2315-2023-f06.jpg"/>

        </fig>

      <p id="d1e3416">The spatial map for 2020–2021 in Fig. <xref ref-type="fig" rid="Ch1.F6"/>c) on its own scale identified a shift in the dominant <inline-formula><mml:math id="M205" 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> emissions source between 2017 and 2020–2021. Whilst Euston station and the previously congested southwesterly area are still noticeable, the major stand-out area is to the east. Depicted as a white box is the outline of the University of London point source as documented by the National Atmospheric Emissions Inventory, a similar inventory to the LAEI but for the whole of the UK <xref ref-type="bibr" rid="bib1.bibx9" id="paren.55"/>. The University of London is the largest university in the UK, and its Bloomsbury Campus appears directly under the heightened emissions area. This site is made up of much of the University College London (UCL) central administration, the UCL hospital and Bloomsbury Heat and Power, a number of combined heat and power (CHP) sites to power the university. CHP systems simultaneously generate heat and electrical power from a single source of energy. By capturing and utilising the heat that is generated as a byproduct of the electricity generation process, efficiency is increased, which can reduce carbon emissions by up to 30 % compared to conventional separate generation <xref ref-type="bibr" rid="bib1.bibx10" id="paren.56"/>. However, the requirement for CHP to be in urban areas risks an increase in air pollution. Indeed, it has<?pagebreak page2324?> been shown that CHP can “substantially” impact air quality due to <inline-formula><mml:math id="M206" 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>, the highest criteria judged by Environment Protection UK and the Institute of Air Quality Management <xref ref-type="bibr" rid="bib1.bibx17" id="paren.57"/>. Here, the heat and power generation source stands out and dominates over transport but is only seen due to the drastic reduction in transport <inline-formula><mml:math id="M207" 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> emissions during the period of pandemic-reduced mobility. The Spearman correlation coefficients presented in Fig. <xref ref-type="fig" rid="Ch1.F5"/> give further evidence that the dominant source between the two periods has changed. Correlations between <inline-formula><mml:math id="M208" 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> flux and traffic load are reduced in 2020–2021, particularly in the easterly direction. Here, the lowest correlation is observed, and high <inline-formula><mml:math id="M209" 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> fluxes are seen even at low traffic loads. These observations are in agreement with the spatial-mapping interpretation in that heat and power generation is the dominant source from this direction.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e3497">Eddy covariance emissions measurements at the unique BT Tower site in central London provide an opportunity to study the evolution of air pollutant emissions in a megacity and the part that policy and other external stimuli play in improving air quality. Here, the direct emissions measurements have shown that reducing congestion could be an even more effective way of reducing <inline-formula><mml:math id="M210" 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> emissions from road transport than the ULEZ. However, this is not the direction in which the UK is heading. With much cheaper mileage, the continued uptake of electric vehicles is predicted to increase congestion.  Reducing the number of vehicles on the road by improving infrastructure for other greener methods of travel such as cycling would not only achieve reduced congestion but give additional benefits to health, further reducing costs of treatment at health services <xref ref-type="bibr" rid="bib1.bibx15" id="paren.58"/>. A more targeted approach to simultaneously reduce congestion, as well as emissions per vehicle per unit distance, is therefore recommended to other cities looking to implement policies to tackle high traffic <inline-formula><mml:math id="M211" 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> emissions.</p>
      <p id="d1e3525">The observation that <inline-formula><mml:math id="M212" 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> emissions in central London during this continuing period of reduced mobility were thought to be dominated by heat and power generation is an important one. This is a transition which was expected to occur in the coming years but was brought forward in time by the pandemic, providing a glimpse into future air quality. As of 2020, there were 2659 CHP sites in the UK, with additional widespread usage in Europe <xref ref-type="bibr" rid="bib1.bibx10" id="paren.59"/>. Due to their increased efficiency and the push towards net-zero economies, they are expected to increase in popularity. Despite this period of drastically reduced transport emissions, all air quality monitoring sites (urban background, urban traffic and kerbside) in London far exceeded the new WHO <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> air quality target. To achieve these targets, it is therefore clear that legislation is required to reduce <inline-formula><mml:math id="M214" 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> emissions from heat and power generation. The heat and power generation source has been somewhat neglected due to the prominence of<?pagebreak page2325?> issues with diesel vehicle emissions. But with the planned use of hydrogen combustion in decarbonisation, which currently has major uncertainties due to a lack of experimental data, now is the critical time to start thinking about policy intervention for this sector <xref ref-type="bibr" rid="bib1.bibx38" id="paren.60"/>. This makes the lack of acknowledgement for gas combustion in boilers in the UK's Clean Air Strategy highly disappointing. This is the first indication from a megacity which shows that heat and power emissions will need to be regulated to achieve the new air quality <inline-formula><mml:math id="M215" 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> targets. As more and more of the world's population is expected to live in urban areas, it is essential that compliance with WHO targets is achieved to minimise health and economic impacts. The conclusions derived from this work will therefore be of interest to other nations, especially with air quality improvements being increasingly sought in the developing world.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <?xmltex \currentcnt{A}?><label>Appendix A</label><title/>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F7"><?xmltex \currentcnt{A1}?><?xmltex \def\figurename{Figure}?><label>Figure A1</label><caption><p id="d1e3592">A timeline of COVID restrictions in England from the start of the COVID-19 pandemic until January 2022. Coloured  bars represent the weekly change in Google mobility across the UK.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2315/2023/acp-23-2315-2023-f07.png"/>

      </fig>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F8"><?xmltex \currentcnt{A2}?><?xmltex \def\figurename{Figure}?><label>Figure A2</label><caption><p id="d1e3606">Comparison of <bold>(a)</bold> the diurnal profile of the inventory-generated time series and <bold>(b)</bold> the 30 %, 60 % and 90 % footprint contribution contours for the 2017 data set in black and the 2020/2021 data set in red. Map in <bold>(b)</bold> produced from Google Maps (© Google Maps 2021), accessed using an API in R.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2315/2023/acp-23-2315-2023-f08.png"/>

      </fig>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F9"><?xmltex \currentcnt{A3}?><?xmltex \def\figurename{Figure}?><label>Figure A3</label><caption><p id="d1e3629">Daily average traffic load from 1 January 2017–1 September 2021. The date of the introduction of the ULEZ is marked as a vertical red line.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=284.527559pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2315/2023/acp-23-2315-2023-f09.png"/>

      </fig>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F10"><?xmltex \currentcnt{A4}?><?xmltex \def\figurename{Figure}?><label>Figure A4</label><caption><p id="d1e3642">Pie chart for the 2017 and 2020–2021 measurement periods displaying the distribution of vehicle length classes measured by the 24 ATCs surrounding the BT Tower.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2315/2023/acp-23-2315-2023-f10.png"/>

      </fig>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F11"><?xmltex \currentcnt{A5}?><?xmltex \def\figurename{Figure}?><label>Figure A5</label><caption><p id="d1e3656">Boundary layer height comparison.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2315/2023/acp-23-2315-2023-f11.png"/>

      </fig>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F12"><?xmltex \currentcnt{A6}?><?xmltex \def\figurename{Figure}?><label>Figure A6</label><caption><p id="d1e3669">Diurnal profiles comparing uncorrected and vertical-flux-divergence-corrected <inline-formula><mml:math id="M216" 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> flux for the 2017 and 2020–2021 measurement periods.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/2315/2023/acp-23-2315-2023-f12.png"/>

      </fig>

</app>
  </app-group><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d1e3695">The eddy4R v.0.2.0 software framework used to generate eddy covariance flux estimates can be freely accessed at <uri>https://github.com/NEONScience/eddy4R</uri> <xref ref-type="bibr" rid="bib1.bibx43" id="paren.61"/>. The eddy4R turbulence v0.0.16 software module was accessed under the terms of use for this study (<uri>https://www.eol.ucar.edu/content/cheesehead-code-policy-appendix</uri>; <xref ref-type="bibr" rid="bib1.bibx12" id="altparen.62"/>) and are available upon request.</p>
  </notes><?xmltex \hack{\newpage}?><?xmltex \hack{\vspace*{175mm}}?><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e3715">Automatic Urban and Rural Network data used in the analysis were obtained from <uri>https://uk-air.defra.gov.uk/networks/network-info?view=aurn</uri> <xref ref-type="bibr" rid="bib1.bibx8" id="paren.63"/> under “Open Government Licence v3.0”. The London Atmospheric Emissions Inventory is available at <uri>https://data.london.gov.uk/dataset/london-atmospheric-emissions-inventory--laei--2016</uri> <xref ref-type="bibr" rid="bib1.bibx19" id="paren.64"/> (© Crown 2022 copyright Defra &amp; BEIS, licensed under the Open Government Licence – OGL). For the measurement data in this paper, the calculated fluxes are not available in any repository due to the intensity of the processing and interpretation required. We are happy to make this available<?pagebreak page2328?> upon request; 15 min aggregated concentrations are available on the Centre for Environmental Data Analysis database, but these were not directly used here. The ERA5 boundary layer height data can be accessed at <uri>http://cds.climate.copernicus.eu/cdsapp#!/home</uri> <xref ref-type="bibr" rid="bib1.bibx5" id="paren.65"/>. The traffic count data used in this article were provided by Transport for London (2021) (Automatic Traffic Counter data; original source data provided by Operational Analysis department, Transport for London).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3740">SJC made the <inline-formula><mml:math id="M217" 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> measurements, calculated the fluxes and performed the analyses. SJC wrote the paper and produced the figures with input from the co-authors. WD provided support with the measurements, flux calculations and interpretation of the data. JDL provided support for the measurements and interpretation of the data. CH and EN provided supporting measurements from the site and aided in interpretation of the data. SM provided training on the eddy4R software and aided in interpretation of the data. JFB provided meteorological data for the site.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3757">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="d1e3763">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3769">The authors thank the National Ecological Observatory Network, a programme sponsored by the National Science Foundation and operated under cooperative agreement by Battelle. This material is based in part upon work supported by the National Science Foundation through the NEON Programme. The authors also thank Neil Mullinger and Karen Yeung (UK Centre for Ecology and Hydrology) for instrument and sample line maintenance; Ally Lewis and Rhianna Evans for help in paper preparation; and British Telecom (BT) for granting use of the tall tower for research purposes, particularly Karen Ahern and Guille Parada for arranging work permits and facilitating access to the site.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3774">This research has been supported by the UK Natural Environment Research Council and the Integrated Research Observation System for Clean Air project (grant nos. NE/T001917/1, NE/T001798/2) as well as through UKCEH's UK-SCAPE programme delivering National Capability (grant no. NE/R016429/1). Samuel Cliff was supported by the Panorama Natural Environment Research Council (NERC) Doctoral Training Partnership (DTP) (grant no. NE/S007458/1).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3780">This paper was edited by Thomas Karl and reviewed by two anonymous referees.</p>
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