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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-22-6151-2022</article-id><title-group><article-title>Tropospheric ozone production and chemical regime analysis during the COVID-19 lockdown over Europe</article-title><alt-title>Changes in upper tropospheric ozone production</alt-title>
      </title-group><?xmltex \runningtitle{Changes in upper tropospheric ozone production}?><?xmltex \runningauthor{C. M. Nussbaumer et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Nussbaumer</surname><given-names>Clara M.</given-names></name>
          <email>clara.nussbaumer@mpic.de</email>
        <ext-link>https://orcid.org/0000-0002-5662-8476</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Pozzer</surname><given-names>Andrea</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2440-6104</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Tadic</surname><given-names>Ivan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4419-2502</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Röder</surname><given-names>Lenard</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Obersteiner</surname><given-names>Florian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7327-8893</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Harder</surname><given-names>Hartwig</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6868-714X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Lelieveld</surname><given-names>Jos</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6307-3846</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Fischer</surname><given-names>Horst</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Atmospheric Chemistry, Max Planck Institute for Chemistry, 55128 Mainz, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute of Meteorology and Climate Research – Atmospheric Trace Gases and Remote Sensing (IMK-ASF), Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Climate and Atmosphere Research Center, The Cyprus Institute, Nicosia, Cyprus</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Clara M. Nussbaumer (clara.nussbaumer@mpic.de)</corresp></author-notes><pub-date><day>11</day><month>May</month><year>2022</year></pub-date>
      
      <volume>22</volume>
      <issue>9</issue>
      <fpage>6151</fpage><lpage>6165</lpage>
      <history>
        <date date-type="received"><day>9</day><month>December</month><year>2021</year></date>
           <date date-type="rev-request"><day>21</day><month>December</month><year>2021</year></date>
           <date date-type="rev-recd"><day>12</day><month>April</month><year>2022</year></date>
           <date date-type="accepted"><day>15</day><month>April</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Clara M. Nussbaumer et al.</copyright-statement>
        <copyright-year>2022</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/22/6151/2022/acp-22-6151-2022.html">This article is available from https://acp.copernicus.org/articles/22/6151/2022/acp-22-6151-2022.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/22/6151/2022/acp-22-6151-2022.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/22/6151/2022/acp-22-6151-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e159">The COVID-19 (coronavirus disease 2019) European lockdowns have led to a significant reduction in the emissions of primary pollutants such as NO (nitric oxide) and NO<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (nitrogen dioxide). As most photochemical processes are related to nitrogen oxide (<inline-formula><mml:math id="M2" 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></mml:math></inline-formula> NO <inline-formula><mml:math id="M3" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> NO<inline-formula><mml:math id="M4" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) chemistry, this event has presented an exceptional opportunity to investigate its effects on air quality and secondary pollutants, such as tropospheric ozone (O<inline-formula><mml:math id="M5" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>). In this study, we present the effects of the COVID-19 lockdown on atmospheric trace gas concentrations, net ozone production rates (NOPRs) and the dominant chemical regime throughout the troposphere based on three different research aircraft campaigns across Europe. These are the UTOPIHAN (Upper Tropospheric Ozone: Processes Involving HO<inline-formula><mml:math id="M6" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M7" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>) campaigns in 2003 and 2004, the HOOVER (HO<inline-formula><mml:math id="M8" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> over Europe) campaigns in 2006 and 2007, and the BLUESKY campaign in 2020, the latter performed during the COVID-19 lockdown. We present in situ observations and simulation results from the ECHAM5 (fifth-generation European Centre Hamburg general circulation model, version 5.3.02)/MESSy2 (second-generation Modular Earth Submodel System, version 2.54.0) Atmospheric Chemistry (EMAC), model which allows for scenario calculations with business-as-usual emissions during the BLUESKY campaign, referred to as the “no-lockdown scenario”. We show that the COVID-19 lockdown reduced NO and NO<inline-formula><mml:math id="M9" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios in the upper troposphere by around 55 % compared to the no-lockdown scenario due to reduced air traffic. O<inline-formula><mml:math id="M10" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production and loss terms reflected this reduction with a deceleration in O<inline-formula><mml:math id="M11" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> cycling due to reduced mixing ratios of NO<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, while NOPRs were largely unaffected. We also study the role of methyl peroxyradicals forming HCHO (<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>) to show that the COVID-19 lockdown shifted the chemistry in the upper-troposphere–tropopause region to a NO<inline-formula><mml:math id="M14" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime during BLUESKY. In comparison, we find a volatile organic compound (VOC)-limited regime to be dominant during UTOPIHAN.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e313">COVID-19 (coronavirus disease 2019) describes the disease accompanying an infection with the SARS-CoV-2 (severe acute respiratory syndrome coronavirus-2) virus. The disease is highly infectious and can have severe health consequences, including premature death, particularly for the elderly and people with pre-existing conditions <xref ref-type="bibr" rid="bib1.bibx72" id="paren.1"/>. On 11 March 2020, COVID-19 was declared a pandemic by the World Health Organization <xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx71" id="paren.2"/>. As a response, in many countries worldwide – including the European continent – governments initiated a shutdown of the daily life for minimizing the spread of the virus, which is referred to as a COVID-19 lockdown. Among others, this included a reduction in vehicular and industrial activities as well as sharp restrictions on air travel accompanied by a reduction in atmospheric pollutants such as nitrogen oxides (<inline-formula><mml:math id="M15" 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:mi mathvariant="normal">NO</mml:mi><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>) <xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx32 bib1.bibx9 bib1.bibx50 bib1.bibx59 bib1.bibx41 bib1.bibx17" id="paren.3"/>.</p>
      <p id="d1e349">NO and NO<inline-formula><mml:math id="M16" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are important atmospheric trace gases as they are involved in almost all photochemical processes taking place in the earth's atmosphere. NO<inline-formula><mml:math id="M17" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> directly impacts the production of tropospheric ozone (O<inline-formula><mml:math id="M18" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>), which is a hazard to human and plant health <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx44" id="paren.4"/>. Together with volatile organic compound (VOC) oxidation, NO forms NO<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> within the HO<inline-formula><mml:math id="M20" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> cycle, catalyzed by an OH radical. Under the influence of sunlight, NO<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> can subsequently form O<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> through the reaction with molecular oxygen, as shown in Reaction (<xref ref-type="disp-formula" rid="Ch1.R1"/>) <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx13 bib1.bibx36 bib1.bibx53 bib1.bibx54 bib1.bibx47" id="paren.5"/>.</p>
      <p id="d1e424">
          <disp-formula id="Ch1.R1" content-type="numbered reaction"><label>R1</label><mml:math id="M23" display="block"><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mover accent="true"><mml:mo>⟶</mml:mo><mml:mrow><mml:mi>h</mml:mi><mml:mi mathvariant="italic">ν</mml:mi></mml:mrow></mml:mover><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">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e466">Various termination reactions such as the formation of HNO<inline-formula><mml:math id="M24" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> from OH and NO<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or other radical recombinations cause ozone chemistry to be non-linear, which means that a reduction in ambient NO<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> can either increase or decrease O<inline-formula><mml:math id="M27" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production  <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx54" id="paren.6"/>. For low ambient NO<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels, a NO<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> reduction usually causes a decrease in O<inline-formula><mml:math id="M30" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production, which is referred to as a NO<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited chemical regime. In contrast, a NO<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> reduction increases O<inline-formula><mml:math id="M33" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production when a VOC-limited chemical regime is dominant – usually at high ambient NO<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> levels <xref ref-type="bibr" rid="bib1.bibx63 bib1.bibx46 bib1.bibx53" id="paren.7"/>. In the transition region between the two regimes, changes in NO<inline-formula><mml:math id="M35" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> do not (or only slightly) impact O<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production rates <xref ref-type="bibr" rid="bib1.bibx69" id="paren.8"/>. Earlier studies on evaluating correlations of NO<inline-formula><mml:math id="M37" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and O<inline-formula><mml:math id="M38" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the troposphere include <xref ref-type="bibr" rid="bib1.bibx39" id="text.9"/>, <xref ref-type="bibr" rid="bib1.bibx40" id="text.10"/> and <xref ref-type="bibr" rid="bib1.bibx38" id="text.11"/>, reporting a non-linear dependence that varies with ambient levels of hydrocarbons and NO<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>.</p>
      <p id="d1e635">Many different methods enable the determination of the dominant chemical regime, such as the use of the weekend ozone effect, which considers the response of O<inline-formula><mml:math id="M40" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to NO<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> reductions on weekends, or the ratio of HCHO to NO<inline-formula><mml:math id="M42" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, with various approaches from in situ observations, remote sensing and model simulations (e.g.,  <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx53 bib1.bibx47 bib1.bibx15" id="altparen.12"/>). We have recently shown that the fraction <inline-formula><mml:math id="M43" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> of methyl peroxyradicals (CH<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) forming formaldehyde (HCHO) in correlation with ambient NO concentrations is capable of indicating the dominant chemical regime based on three different field campaigns across Europe in Finland (HUMPPA 2012), Germany (HOPE 2012) and Cyprus (CYPHEX 2014) <xref ref-type="bibr" rid="bib1.bibx48" id="paren.13"/>. CH<inline-formula><mml:math id="M46" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> formed from, for example, the oxidation of acetaldehyde (CH<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>CHO) or methane (CH<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) can either react with NO or OH radicals to form HCHO or undergo the competing reaction with HO<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to form methyl hydroperoxide (CH<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>OOH). For more details, please see Fig. 1 in <xref ref-type="bibr" rid="bib1.bibx48" id="text.14"/>. <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> consequently depends on the ambient concentrations of NO, OH and HO<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and the respective rate constants for the reaction with CH<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, the latter of which were taken from the <xref ref-type="bibr" rid="bib1.bibx24" id="text.15"/>. Self-reaction of CH<inline-formula><mml:math id="M56" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> as a contributor to CH<inline-formula><mml:math id="M58" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> loss forming HCHO is negligible. The calculation of <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is presented in Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>).

          <disp-formula id="Ch1.E2" content-type="numbered"><label>1</label><mml:math id="M61" display="block"><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{8.2}{8.2}\selectfont$\displaystyle}?><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr></mml:mtable><?xmltex \hack{$\egroup}?></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e1052">Low values for <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with a high response to NO are an indicator for a NO<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime, whereas high values for <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> with little response to changing NO represent a VOC limitation (Fig. 11 in <xref ref-type="bibr" rid="bib1.bibx48" id="altparen.16"/>). Investigating the dominant chemical regime is an important method for analyzing photochemical processes and air quality.</p>
      <p id="d1e1107">Previous studies have explored changes in air quality, trace gas emissions and the dominant chemical regime during the COVID-19 lockdown in Europe. <xref ref-type="bibr" rid="bib1.bibx42" id="text.17"/> reported NO<inline-formula><mml:math id="M65" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reductions between 30 % and 50 % for various western European countries in the course of March 2020, with both decreasing and increasing O<inline-formula><mml:math id="M66" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in response, depending on the location, based on surface in situ observations and model simulations. <xref ref-type="bibr" rid="bib1.bibx51" id="text.18"/> observed decreased NO<inline-formula><mml:math id="M67" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and increased O<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in central Europe in March and April 2020 based on in situ observations compared to 2015–2019. While they found NO<inline-formula><mml:math id="M69" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reductions to be mainly attributed to the COVID-19 lockdown, O<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> enhancements were predominantly affected by meteorological changes. <xref ref-type="bibr" rid="bib1.bibx9" id="text.19"/> presented evidence of NO<inline-formula><mml:math id="M71" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reductions during the COVID-19 lockdown in Europe and O<inline-formula><mml:math id="M72" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> changes dependent on the dominant chemical regime through investigation of <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCHO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ratios based on in situ and satellite observations. Similar studies were performed by <xref ref-type="bibr" rid="bib1.bibx41" id="text.20"/>, <xref ref-type="bibr" rid="bib1.bibx43" id="text.21"/>, <xref ref-type="bibr" rid="bib1.bibx1" id="text.22"/>, <xref ref-type="bibr" rid="bib1.bibx19" id="text.23"/> and many more.</p>
      <p id="d1e1220">Besides the changes within the dominant chemical regime through NO<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> reductions, i.e., increasing ozone within a VOC-limited regime and decreasing ozone within a NO<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime, the COVID-19 lockdown could have potentially changed the dominant chemical regime from VOC- to NO<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited as pointed out by <xref ref-type="bibr" rid="bib1.bibx32" id="text.24"/> and <xref ref-type="bibr" rid="bib1.bibx18" id="text.25"/>. <xref ref-type="bibr" rid="bib1.bibx7" id="text.26"/> found a lockdown-induced change from a VOC- to a NO<inline-formula><mml:math id="M77" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime in Quito (Ecuador) based on the share of precursor loss to HNO<inline-formula><mml:math id="M78" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and H<inline-formula><mml:math id="M79" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M80" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. The latter is dominant for NO<inline-formula><mml:math id="M81" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited chemistry <xref ref-type="bibr" rid="bib1.bibx29" id="paren.27"/>. A change from a VOC- to a NO<inline-formula><mml:math id="M82" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime was also reported by <xref ref-type="bibr" rid="bib1.bibx76" id="text.28"/> in China based on HCHO-to-NO<inline-formula><mml:math id="M83" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratios (NO<inline-formula><mml:math id="M84" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> limitation for ratios above 2 according to <xref ref-type="bibr" rid="bib1.bibx15" id="altparen.29"/>).</p>
      <p id="d1e1342">Most of the literature on pollutant reductions during the COVID-19 lockdown focuses on near-surface air quality, and only few studies consider the free troposphere. <xref ref-type="bibr" rid="bib1.bibx64" id="text.30"/>, <xref ref-type="bibr" rid="bib1.bibx8" id="text.31"/> and <xref ref-type="bibr" rid="bib1.bibx2" id="text.32"/> reported decreases in O<inline-formula><mml:math id="M85" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations in the free troposphere based on in situ observations and modeling studies in the Northern Hemisphere. <xref ref-type="bibr" rid="bib1.bibx2" id="text.33"/> found that reduced air traffic – a unique incidence after strongly increasing aircraft activities over the past decades, as shown by <xref ref-type="bibr" rid="bib1.bibx34" id="text.34"/> – can explain around a third of the observed O<inline-formula><mml:math id="M86" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> decrease in 2020, the remaining contributions coming from ground-level reductions and meteorological differences. Reduced O<inline-formula><mml:math id="M87" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the free troposphere was also reported by <xref ref-type="bibr" rid="bib1.bibx10" id="text.35"/> around Frankfurt airport. <xref ref-type="bibr" rid="bib1.bibx12" id="text.36"/> reported lower O<inline-formula><mml:math id="M88" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> concentrations above the planetary boundary layer (PBL) in 2020 compared to the 1996–2019 average at Monte Cimone in Italy, which is in line with findings by the <xref ref-type="bibr" rid="bib1.bibx73" id="text.37"/>, extended to include two mountain sites in Germany.</p>
      <p id="d1e1407">In this study, we present atmospheric trace gas concentrations, net ozone production rates and an analysis on the dominant chemical regime based on in situ observations during the research aircraft campaign BLUESKY, which took place in May and June 2020 over Europe, and model simulations. During this time period, aircraft activity was still strongly limited due to the COVID-19 lockdown. We compare the results to model simulations assuming business-as-usual emissions not impacted by government restrictions, which we refer to as the “no-lockdown scenario”.
Additionally, we present results of two previous aircraft campaigns, which are UTOPIHAN (Upper Tropospheric Ozone: Processes Involving HO<inline-formula><mml:math id="M89" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M90" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>) in 2003/04 and HOOVER (HO<inline-formula><mml:math id="M91" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> over Europe) in 2006/07.
While many studies have been published on emissions reductions and the effect on secondary pollutants during the COVID-19 lockdown, only a few studies have investigated changes in the dominant chemical regime, and to our knowledge we are the first to report a shift to NO<inline-formula><mml:math id="M92" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited chemistry in the upper troposphere. This can demonstrate the consequences of emission changes in VOCs (including methane) and NO<inline-formula><mml:math id="M93" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> for tropospheric ozone.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Observations and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Calculations of net ozone production rates (NOPRs)</title>
      <p id="d1e1470">Besides the chemical regime, production and loss processes of O<inline-formula><mml:math id="M94" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> are effective tools in exploring relevant photochemistry. As already demonstrated in Reaction (<xref ref-type="disp-formula" rid="Ch1.R1"/>), O<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is formed via NO<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> photolysis. Under the assumption of photostationary state, this term can be equated with the reactions of NO with O<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, HO<inline-formula><mml:math id="M98" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and RO<inline-formula><mml:math id="M99" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx23" id="paren.38"/>. The resulting term for O<inline-formula><mml:math id="M100" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production <inline-formula><mml:math id="M101" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) is shown in Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) <xref ref-type="bibr" rid="bib1.bibx66 bib1.bibx35" id="paren.39"/>; <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the photolysis frequency of NO<inline-formula><mml:math id="M104" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, and <inline-formula><mml:math id="M105" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> describes the respective rate constant (for this work taken from the <xref ref-type="bibr" rid="bib1.bibx24" id="altparen.40"/>).
            <disp-formula id="Ch1.E3" content-type="numbered"><label>2</label><mml:math id="M106" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>P</mml:mi><mml:mfenced open="(" close=")"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mfenced close="]" open="["><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:mfenced><mml:mo>×</mml:mo><mml:mi>j</mml:mi><mml:mfenced open="(" close=")"><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:mfenced><mml:mo>=</mml:mo><mml:mfenced open="[" close="]"><mml:mi mathvariant="normal">NO</mml:mi></mml:mfenced><mml:mo>×</mml:mo><mml:mfenced open="(" close=""><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mfenced close="]" open="["><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:mfenced></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mfenced open="[" close="]"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>z</mml:mi></mml:munder><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">R</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">R</mml:mi><mml:mi>z</mml:mi></mml:msub><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo mathsize="1.1em">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d1e1747">We assume R<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mi>z</mml:mi></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M108" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (the sum of all peroxy radicals) to be represented by CH<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M110" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, which we find to be a reasonable approximation when comparing modeled CH<inline-formula><mml:math id="M111" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> to the overall modeled RO<inline-formula><mml:math id="M113" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> as shown in Fig. S1 in the Supplement, exemplarily for the BLUESKY campaign. Above 800 hPa, CH<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> represents more than 90 % of RO<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Below 800 hPa, it still accounts for more than 70 % on average. CH<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M118" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> can be calculated via Eq. (<xref ref-type="disp-formula" rid="Ch1.E4"/>) as derived by <xref ref-type="bibr" rid="bib1.bibx3" id="text.41"/>. While the model can simulate CH<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios, Eq. (<xref ref-type="disp-formula" rid="Ch1.E4"/>) is required when working with experimental data as CH<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was not directly measured.</p>
      <p id="d1e1904"><disp-formula id="Ch1.E4" content-type="numbered"><label>3</label><mml:math id="M123" display="block"><mml:mrow><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mi mathvariant="normal">CO</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">CO</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e1988">O<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss occurs via the reaction with NO, OH and HO<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and via photolysis and can be calculated as presented in Eq. (<xref ref-type="disp-formula" rid="Ch1.E5"/>). The photolysis of O<inline-formula><mml:math id="M126" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> first yields O<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>D, which reacts back to O<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> through collision with O<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or N<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and causes an O<inline-formula><mml:math id="M131" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss through reaction with H<inline-formula><mml:math id="M132" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O. The share of O<inline-formula><mml:math id="M133" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> that is effectively lost through O<inline-formula><mml:math id="M134" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> photolysis is described by <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in Eq. (<xref ref-type="disp-formula" rid="Ch1.E6"/>) <xref ref-type="bibr" rid="bib1.bibx3" id="paren.42"/>. Additional loss due to reactions of O<inline-formula><mml:math id="M136" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> with alkenes and the loss of NO<inline-formula><mml:math id="M137" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> due to formation of HNO<inline-formula><mml:math id="M138" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> or peroxy nitrates are negligibly small, particularly in the upper troposphere.

                <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M139" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>L</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E6"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><?xmltex \hack{\hbox\bgroup\fontsize{9}{9}\selectfont$\displaystyle}?><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mo>+</mml:mo><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:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><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:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr></mml:mtable><?xmltex \hack{$\egroup}?></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d1e2482">Net ozone production rates (NOPRs) are then calculated from the difference in <inline-formula><mml:math id="M140" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) and <inline-formula><mml:math id="M142" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M143" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>), whereas <inline-formula><mml:math id="M144" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) can be expressed via either NO<inline-formula><mml:math id="M146" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> or NO reaction terms. The term <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> can be neglected for the latter as it is equally present in <inline-formula><mml:math id="M148" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M149" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) and <inline-formula><mml:math id="M150" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M151" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>).</p>
      <p id="d1e2615"><disp-formula id="Ch1.E7" content-type="numbered"><label>6</label><mml:math id="M152" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">NOPR</mml:mi></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mi>L</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>×</mml:mo><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>-</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">NO</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>]</mml:mo><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">NO</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>]</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:msub><mml:mo>×</mml:mo><mml:mi>j</mml:mi><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:mi mathvariant="normal">D</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Field experiments</title>
      <p id="d1e3016">We have investigated in situ trace gas observations from three different research aircraft campaigns, which are the UTOPIHAN campaigns in 2003/04, the HOOVER campaigns in 2006/07 and the BLUESKY campaign in 2020. Figure <xref ref-type="fig" rid="Ch1.F1"/> shows an overview of the flight tracks over Europe. We have filtered the data for the tropospheric region with the help of the modeled tropopause pressure (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>) and south of 60<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N as there were no data points for the BLUESKY campaign further north. Dashed lines show the complete flight tracks during each campaign, and solid lines show the data which we have considered in this study. The experimental data were obtained with a time resolution of 1 min and subsequently adjusted to fit the model resolution of 6 min. For this, each sixth experimental data point (which fit the model timescale) and the data points from <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> min were averaged. The remaining data points were discarded.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e3044">Overview of the flight tracks of the considered aircraft campaigns: UTOPIHAN (2003 and 2004) in green, HOOVER (2006 and 2007) in blue and BLUESKY (2020) in red. Solid lines present the data considered in this study (filtered for troposphere and south of 60<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N), and dashed lines show the complete flight tracks.</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/6151/2022/acp-22-6151-2022-f01.png"/>

        </fig>

<sec id="Ch1.S2.SS2.SSS1">
  <label>2.2.1</label><title>UTOPIHAN 2003/04</title>
      <p id="d1e3069">The UTOPIHAN (Upper Tropospheric Ozone: Processes Involving HO<inline-formula><mml:math id="M156" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and NO<inline-formula><mml:math id="M157" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>) campaigns took place in June/July 2003 and March 2004 starting from Oberpfaffenhofen airport in Germany (48.08<inline-formula><mml:math id="M158" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 11.28<inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) with the GFD (Gesellschaft für Flugzieldarstellung, Hohn, Germany) research aircraft Learjet 35A <xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx30 bib1.bibx65" id="paren.43"/>. NO and O<inline-formula><mml:math id="M160" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> were measured via chemiluminescent detection (CLD 790 SR, ECO Physics, Dürnten, Switzerland). NO data have a precision of 6.5 %, an accuracy of <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> % and a detection limit of <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> ppbv. O<inline-formula><mml:math id="M163" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> data have a precision of 1 % and an accuracy of 5 %; <inline-formula><mml:math id="M164" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M165" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) was determined via filter radiometers (Meterologie Consult GmbH, Königstein, Germany) with a precision of 1 % and an accuracy of 15 %. CO measurements were obtained from a tunable diode laser absorption spectrometer with a detection limit of 0.26 ppbv (30 s time resolution) and an accuracy of 3.6 % (6 s time resolution) <xref ref-type="bibr" rid="bib1.bibx31" id="paren.44"/>.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS2">
  <label>2.2.2</label><title>HOOVER 2006/07</title>
      <p id="d1e3179">The HOOVER (HO<inline-formula><mml:math id="M166" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> over Europe) campaigns took place in October 2006 and July 2007 using the GFD research aircraft Learjet 35A with the campaign base in Hohn, Germany (54.31<inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 9.53<inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E) <xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx4 bib1.bibx3 bib1.bibx55" id="paren.45"/>. NO and O<inline-formula><mml:math id="M169" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> measurements were performed via chemiluminescence (CLD 790 SR, ECO Physics, Dürnten, Switzerland) with a precision of 7 % and 4 %, an accuracy of 12 % and 2 %, and a detection limit of 0.2 and 2 ppbv, respectively (30 s time resolution) <xref ref-type="bibr" rid="bib1.bibx23" id="paren.46"/>. CO and CH<inline-formula><mml:math id="M170" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> were measured via quantum cascade laser absorption spectroscopy with an accuracy of 1.1 % and 0.6 % and detection limits of 0.2 and 6 ppbv, respectively (2 s time resolution) <xref ref-type="bibr" rid="bib1.bibx60" id="paren.47"/>. OH and HO<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> measurements were performed via laser-induced fluorescence with the HORUS (HydrOxyl Radical measurement Unit based on fluorescence Spectroscopy) instrument with an accuracy of 18 % and detection limits of 0.016 and 0.33 pptv, respectively (1 min time resolution) <xref ref-type="bibr" rid="bib1.bibx55" id="paren.48"/>. Photolysis frequencies were measured using filter radiometers (Meterologie Consult GmbH, Königstein, Germany) with a precision of 1 % and an accuracy of 15 % (1 s time resolution). H<inline-formula><mml:math id="M172" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O was measured via IR absorption with a typical accuracy of 1 % (modified LI-6262, LI-COR Inc., Lincoln, USA) <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx37" id="paren.49"/>.</p>
</sec>
<sec id="Ch1.S2.SS2.SSS3">
  <label>2.2.3</label><title>BLUESKY 2020</title>
      <p id="d1e3270">The BLUESKY campaign took place in May and June 2020 over Europe. Eight flights were carried out using the HALO (High Altitude Long Range) research aircraft starting from the campaign base in Oberpfaffenhofen, Germany. The goal of the campaign was to examine the effects of the COVID-19 lockdown on the troposphere and lower stratosphere over European cities, rural areas and the transatlantic flight corridor. More details can be found in <xref ref-type="bibr" rid="bib1.bibx56" id="text.50"/> and <xref ref-type="bibr" rid="bib1.bibx68" id="text.51"/>. While most restrictions across Europe were in place in March and April 2020, May and June emissions, particularly from air travel but also from ground-based sources such as on-road traffic, were still affected by the COVID-19 lockdowns <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx5 bib1.bibx21 bib1.bibx16" id="paren.52"/>. NO was measured via chemiluminescence (CLD 790 SR, ECO Physics, Dürnten, Switzerland) with a total uncertainty of 15 % and a detection limit of 5 pptv (1 min time resolution) <xref ref-type="bibr" rid="bib1.bibx66" id="paren.53"/>.</p>
      <p id="d1e3285">O<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> measurements were performed with the FAIRO (Fast AIRborne Ozone) instrument, which allows fast detection via chemiluminescence that is calibrated in situ by UV photometry (2.5 % combined uncertainty, 5 Hz time resolution) <xref ref-type="bibr" rid="bib1.bibx75" id="paren.54"/>. CO was measured via  the quantum cascade laser spectrometer TRISTAR (Tracer In Situ TDLAS for Atmospheric Research) with an uncertainty of 3 % (1 min time resolution) <xref ref-type="bibr" rid="bib1.bibx60" id="paren.55"/>.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Modeling study</title>
      <p id="d1e3312">The modeled data were obtained from the ECHAM5 (fifth-generation European Centre Hamburg general circulation model, version 5.3.02)/MESSy2 (second-generation Modular Earth Submodel System, version 2.54.0) Atmospheric Chemistry (EMAC) model, which is described in <xref ref-type="bibr" rid="bib1.bibx26" id="text.56"/> and <xref ref-type="bibr" rid="bib1.bibx56" id="text.57"/>.</p>
      <p id="d1e3321">We use data of NO, NO<inline-formula><mml:math id="M174" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, O<inline-formula><mml:math id="M175" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, OH, HO<inline-formula><mml:math id="M176" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, CO, CH<inline-formula><mml:math id="M177" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, CH<inline-formula><mml:math id="M178" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M179" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, H<inline-formula><mml:math id="M180" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M181" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>), <inline-formula><mml:math id="M183" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M184" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>D) temperature and pressure, modeled along the flight tracks of the described research aircraft campaigns UTOPIHAN, HOOVER and BLUESKY. The data were filtered for the troposphere using the modeled tropopause pressure. Stratospheric data were discarded. In order to evaluate the impact of reduced emissions during the COVID-19 lockdown, the model was used to simulate a scenario with usual emissions for the BLUESKY campaign, which we refer to as the “no-lockdown scenario”. For details of the model setup please see the paper by <xref ref-type="bibr" rid="bib1.bibx56" id="text.58"/>.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
      <p id="d1e3433">This analysis is structured as follows: as a full set of in situ observations necessary for a regime analysis and calculating net ozone production rates, which includes NO, O<inline-formula><mml:math id="M185" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, OH, HO<inline-formula><mml:math id="M186" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, CO, CH<inline-formula><mml:math id="M187" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, H<inline-formula><mml:math id="M188" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, <inline-formula><mml:math id="M189" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) and <inline-formula><mml:math id="M191" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M192" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>D), is only available for the HOOVER campaign, we first show that the model and experimental data are in close agreement for this campaign. We conclude from this finding that the model is generally capable of reproducing the experimental data and therefore use the model data in our following analysis. In the second step, we provide a comparison between the three campaigns as well as the no-lockdown scenario regarding the individual trace gases and net ozone production rates. We finally present our results of the analysis of the dominant chemical regime, based on <inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Comparison of the model and experiment</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e3534">Vertical profiles of in situ observations and model data of the atmospheric trace gases <bold>(a)</bold> NO, <bold>(b)</bold> O<inline-formula><mml:math id="M194" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, <bold>(c)</bold> CO, <bold>(d)</bold> HO<inline-formula><mml:math id="M195" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, <bold>(e)</bold> OH, <bold>(f)</bold> CH<inline-formula><mml:math id="M196" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> and <bold>(g)</bold> CH<inline-formula><mml:math id="M197" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M198" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and the photolysis rates <bold>(h)</bold> <inline-formula><mml:math id="M199" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M200" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) and <bold>(i)</bold> <inline-formula><mml:math id="M201" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M202" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>D) during the HOOVER campaign for estimating the model performance. Blue colors show modeled data by EMAC along the HOOVER campaign flight track (model) and orange colors show experimental data (experiment). The orange trace in panel <bold>(g)</bold> shows the calculation of CH<inline-formula><mml:math id="M203" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M204" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> from experimental CH<inline-formula><mml:math id="M205" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, CO and HO<inline-formula><mml:math id="M206" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> via Eq. (<xref ref-type="disp-formula" rid="Ch1.E4"/>). The shaded areas represent the <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> standard deviation from averaging the data points at each altitude bin. The numbers of data points averaged per altitude bin are displayed in Tables S1 and S2 in the Supplement.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/6151/2022/acp-22-6151-2022-f02.png"/>

        </fig>

      <p id="d1e3702">Figure <xref ref-type="fig" rid="Ch1.F2"/> shows a comparison of in situ observations (orange) and model simulations (blue) for the HOOVER campaign as vertical profiles. The shaded areas present the <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> standard deviations, and the numbers of data points available for each altitude bin are shown in Tables S1 and S2 in the Supplement.</p>
      <p id="d1e3717">Figure <xref ref-type="fig" rid="Ch1.F2"/>a presents the vertical profile of NO, which shows the typical tropospheric C-shape distribution with the highest values at the surface (e.g., vehicle and industrial emissions) and the upper troposphere (e.g., aircraft and lightning emissions). Ground-level mixing ratios (0–1000 m) were around 0.4 ppbv and decreased with altitude to values of <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mn mathvariant="normal">37</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) pptv and <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mn mathvariant="normal">47</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></inline-formula> pptv for the model and the experiment, respectively, between 3 and 9 km altitude. The only relevant deviation between the model and experiment was between 10 and 11 km altitude with mixing ratios of <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> ppbv and <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.39</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn></mml:mrow></mml:math></inline-formula> ppbv, respectively.</p>
      <p id="d1e3782">Figure <xref ref-type="fig" rid="Ch1.F2"/>b shows the measured and modeled O<inline-formula><mml:math id="M214" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios, which were lowest at ground level, with <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mn mathvariant="normal">43.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">14.5</mml:mn></mml:mrow></mml:math></inline-formula> ppbv and <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mn mathvariant="normal">36.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.8</mml:mn></mml:mrow></mml:math></inline-formula> ppbv for the model and experiment and increased with altitude up to 128.1 <inline-formula><mml:math id="M217" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 22.7 ppbv and 97.5 <inline-formula><mml:math id="M218" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15.6 ppbv, respectively. Model values were approximately 20 % higher compared to the measured data but showed the same vertical shape. The observed positive O<inline-formula><mml:math id="M219" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> bias of the modeled data is an issue almost all global models suffer from in the Northern Hemisphere and which has not been entirely understood yet <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx74 bib1.bibx26 bib1.bibx52" id="paren.59"/>.</p>
      <p id="d1e3847">CO vertical profiles are shown in Fig. <xref ref-type="fig" rid="Ch1.F2"/>c and were highest at the surface, with 146.4 <inline-formula><mml:math id="M220" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 63.2 ppbv and 128.0 <inline-formula><mml:math id="M221" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 42.3 ppbv for the model and experiment, respectively, and decreased with altitude to around 70 ppbv in the upper troposphere. HO<inline-formula><mml:math id="M222" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> (<inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mo>≡</mml:mo><mml:mi mathvariant="normal">OH</mml:mi><mml:mo>+</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">HO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:math></inline-formula>) is presented in Fig. <xref ref-type="fig" rid="Ch1.F2"/>d and e. HO<inline-formula><mml:math id="M224" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios showed a maximum value of around 20 pptv between 2 and 3 km altitude and decreased aloft to values of around 2 pptv in the upper troposphere. The model and experiment showed close agreement. OH mixing ratios were mostly below 1 pptv. Similar to NO, the main deviation between the model and experiment was between 10 and 11 km altitude, where measured values were higher by around 0.5 pptv. Nevertheless, the error bars representing the <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> standard deviation of the averages overlapped at all altitudes.</p>
      <p id="d1e3915">Figure <xref ref-type="fig" rid="Ch1.F2"/>f shows the vertical profiles of CH<inline-formula><mml:math id="M226" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>, which did not show any particular gradient with altitude. Mixing ratios were 1809 <inline-formula><mml:math id="M227" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 19 ppbv for the model simulation and 1815 <inline-formula><mml:math id="M228" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 40 ppbv for the experiment throughout the campaign. CH<inline-formula><mml:math id="M229" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> is needed for calculating CH<inline-formula><mml:math id="M230" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M231" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> via Eq. (<xref ref-type="disp-formula" rid="Ch1.E4"/>), which we show in Fig. <xref ref-type="fig" rid="Ch1.F2"/>g in orange compared to the model simulation of CH<inline-formula><mml:math id="M232" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>O<inline-formula><mml:math id="M233" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. Figure <xref ref-type="fig" rid="Ch1.F2"/>h and i present the photolysis frequencies <inline-formula><mml:math id="M234" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(NO<inline-formula><mml:math id="M235" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>) and <inline-formula><mml:math id="M236" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M237" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:math></inline-formula>D), which show close agreement for the model and experiment. We show the vertical profiles for H<inline-formula><mml:math id="M238" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O, temperature and pressure in Fig. S2. Again, model simulation can represent the experimental data well.</p>
      <p id="d1e4037">For the UTOPIHAN and the BLUESKY campaigns only a limited number of observations are available. Similar to the HOOVER campaigns, NO, O<inline-formula><mml:math id="M239" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and CO can be well approximated by the model simulations, which we present in Figs. S3 and S4. Tropospheric ozone is slightly overestimated, which we attribute to the simplified representation of multiphase chemistry (clouds) in the present model version, which underpredicts chemical ozone loss <xref ref-type="bibr" rid="bib1.bibx58" id="paren.60"/>. Based on these results, we conclude that the model is generally capable of representing the in situ observations well and use the model data for all following analyses.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Campaign comparison</title>
<sec id="Ch1.S3.SS2.SSS1">
  <label>3.2.1</label><title>Trace gases</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e4069">Vertical profiles of the atmospheric trace gases <bold>(a)</bold> NO, <bold>(b)</bold> O<inline-formula><mml:math id="M240" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, <bold>(c)</bold> CO, <bold>(d)</bold> NO<inline-formula><mml:math id="M241" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, <bold>(e)</bold> HO<inline-formula><mml:math id="M242" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and <bold>(f)</bold> OH for the campaigns UTOPIHAN (green), HOOVER (blue) and BLUESKY (red) and the no-lockdown (NL) scenario (yellow). All data shown here are from EMAC model simulations along the flight track of each research campaign. Two separate simulations were run on the flight path of BLUESKY, one with lockdown and one with business-as-usual emissions. The shaded areas represent the <inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> standard deviation from averaging the data points at each altitude bin. The numbers of data points averaged per altitude bin are displayed in Table S2.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/6151/2022/acp-22-6151-2022-f03.png"/>

          </fig>

      <p id="d1e4134">Figure <xref ref-type="fig" rid="Ch1.F3"/> presents the vertical profiles of some selected trace gases during the research aircraft campaigns UTOPIHAN (green), HOOVER (blue) and BLUESKY (red) which were obtained from model simulations. Yellow lines show the no-lockdown (NL) scenario for the BLUESKY campaign in 2020.</p>
      <p id="d1e4139">The vertical profiles of NO are presented in Fig. <xref ref-type="fig" rid="Ch1.F3"/>a. For all campaigns, we observe the typical C shape as described for the HOOVER campaigns in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>. Surface (0–1000 m) mixing ratios were similar for UTOPIHAN and HOOVER, with <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.45</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.37</mml:mn></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) ppbv and 0.43 <inline-formula><mml:math id="M246" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.74 ppbv, respectively. In comparison, the ground-level concentration of NO during BLUESKY was 0.12 <inline-formula><mml:math id="M247" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.11 ppbv. The differences in NO mixing ratios between the campaigns are the outcome of the general emission reduction due to legislative limitation of nitrogen oxides and other hazardous pollutants over the past decades as the campaigns took place 15–20 years apart. We show the decrease in NO<inline-formula><mml:math id="M248" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions in the model over the past 2 decades in Fig. S5. Assuming the no-lockdown scenario during BLUESKY, NO ground-level mixing ratios were 0.15 <inline-formula><mml:math id="M249" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.14 ppbv and therefore 25 % higher compared to actual mixing ratios (20 % emission reduction). This difference between lockdown and no-lockdown mixing ratios is slightly lower compared to the findings by other studies, for example by <xref ref-type="bibr" rid="bib1.bibx14" id="text.61"/>, who found a NO decrease of 35 %–65 % in Valencia, Spain, or by <xref ref-type="bibr" rid="bib1.bibx22" id="text.62"/>, who reported a NO decrease of 55 % in the UK compared to 2019. A possible reason can be that the BLUESKY aircraft campaign took place in May and June 2020, whereas the main lockdown period across Europe occurred rather in March and April. Emissions were still reduced in the following months, but likely to a smaller extent. NO was low and similar for all campaigns between 3 and 8 km altitude, a region without any particular NO sources, with most values below 50 pptv. Above 10 km, NO mixing ratios were 0.29 <inline-formula><mml:math id="M250" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.19 ppbv for UTOPIHAN, 0.21 <inline-formula><mml:math id="M251" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03 ppbv for HOOVER and 0.08 <inline-formula><mml:math id="M252" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04 ppbv for BLUESKY. In comparison, NO mixing ratios for the no-lockdown scenario were 0.17 <inline-formula><mml:math id="M253" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08 ppbv above 10 km altitude. This corresponds to an emission reduction of 55 % and results in both absolute and relative NO reductions in the upper troposphere being much higher compared to ground-level reductions. The observed NO reduction in the upper troposphere can be attributed to reduced air traffic, which we show in Fig. <xref ref-type="fig" rid="Ch1.F4"/>. In addition to the vertical profiles of NO for BLUESKY (red) and BLUESKY-NL (yellow), we present the modeled BLUESKY-NL scenario without aircraft emissions in blue. In the lower troposphere, where aircraft emissions do not play a significant role, this profile is identical to the BLUESKY-NL scenario. In the upper troposphere, it is very similar to the BLUESKY scenario (including the air travel restrictions), showing that reduced air traffic causes the observed NO decrease.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e4239">NO vertical profiles for BLUESKY (red), for the BLUESKY no-lockdown scenario (yellow) and for the BLUESKY no-lockdown scenario without aircraft emissions (blue) (model data). Upper-tropospheric NO reductions observed for BLUESKY can be attributed to reduced air traffic during the COVID-19 lockdowns.</p></caption>
            <?xmltex \igopts{width=207.705118pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/6151/2022/acp-22-6151-2022-f04.png"/>

          </fig>

      <p id="d1e4248">Figure <xref ref-type="fig" rid="Ch1.F3"/>b presents the O<inline-formula><mml:math id="M254" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> vertical profiles. For all campaigns, O<inline-formula><mml:math id="M255" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios were lowest at ground level, with values of around 50 ppbv, and increased with increasing altitude up to around 140 ppbv above 10 km altitude. No significant differences between the campaigns can be observed. While ozone concentrations are dependent on various effects such as precursor levels (including NO<inline-formula><mml:math id="M256" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> and VOCs) or meteorology, seasonal variations with a maximum around summertime and a minimum during winter months are also of importance <xref ref-type="bibr" rid="bib1.bibx40" id="paren.63"/>. The campaigns shown here include different seasons: the HOOVER campaigns took place in October and July, and the UTOPIHAN campaigns include data from July and March. Figure S6 shows the vertical profiles of ozone separated into different seasons, for both modeled and measured data. Comparing late spring/early summer data of the three field campaigns reveals that O<inline-formula><mml:math id="M257" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> levels during BLUESKY were lower compared to HOOVER and UTOPIHAN, which is in line with findings from <xref ref-type="bibr" rid="bib1.bibx10" id="text.64"/>, <xref ref-type="bibr" rid="bib1.bibx8" id="text.65"/>, <xref ref-type="bibr" rid="bib1.bibx2" id="text.66"/> and <xref ref-type="bibr" rid="bib1.bibx45" id="text.67"/>.</p>
      <p id="d1e4305">CO vertical profiles can be seen in Fig. <xref ref-type="fig" rid="Ch1.F3"/>c. Ground-level mixing ratios were 181.4 <inline-formula><mml:math id="M258" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 39.4 ppbv for UTOPIHAN, 146.4 <inline-formula><mml:math id="M259" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 63.2 ppbv for HOOVER and slightly lower with 103.2 <inline-formula><mml:math id="M260" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.2 ppbv for BLUESKY. Mixing ratios slightly decreased with altitude. Above 3 km altitude, CO for HOOVER was lower compared to the other campaigns (mostly between 70 and 80 ppbv). Mixing ratios for UTOPIHAN were slightly higher up to 11 km altitude (between 90 and 110 ppbv) compared to BLUESKY (between 80 and 100 ppbv), but generally, significant differences are not evident.</p>
      <p id="d1e4331">Figure <xref ref-type="fig" rid="Ch1.F3"/>d shows the vertical profiles of NO<inline-formula><mml:math id="M261" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios. Similar to NO, ground-level NO<inline-formula><mml:math id="M262" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios were highest for UTOPIHAN and HOOVER, with 1.57 <inline-formula><mml:math id="M263" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.77 ppbv and 2.58 <inline-formula><mml:math id="M264" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.72 ppbv, respectively. In contrast, mixing ratios for BLUESKY were 0.39 <inline-formula><mml:math id="M265" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.30 ppbv and 0.49 <inline-formula><mml:math id="M266" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.38 ppbv considering the no-lockdown scenario, which yields a 20 % NO<inline-formula><mml:math id="M267" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> lockdown reduction, as observed for NO. We show the NO<inline-formula><mml:math id="M268" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> range 0–1 ppbv for enabling the campaign distinction at low mixing ratios and present the full range in Fig. S7. As expected for NO<inline-formula><mml:math id="M269" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, mixing ratios decreased with increasing altitude. No differences between the campaigns can be observed for mid-range altitudes. In the upper troposphere, NO<inline-formula><mml:math id="M270" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios for the individual campaigns showed the same behavior as for NO. Above 10 km altitude, NO<inline-formula><mml:math id="M271" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> was on average 100.6 <inline-formula><mml:math id="M272" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 93.2 pptv for UTOPIHAN, 70.5<inline-formula><mml:math id="M273" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 13.5 pptv for HOOVER and 43.1 <inline-formula><mml:math id="M274" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 23.1 pptv for the no-lockdown scenario for BLUESKY. In comparison, BLUESKY NO<inline-formula><mml:math id="M275" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios were 19.9 <inline-formula><mml:math id="M276" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 9.8 pptv, which corresponds to a 55 % reduction. In contrast to NO, NO<inline-formula><mml:math id="M277" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> reductions were relatively higher in the upper troposphere but absolutely higher at the surface.</p>
      <p id="d1e4476">Figure <xref ref-type="fig" rid="Ch1.F3"/>e and f show the vertical profiles of HO<inline-formula><mml:math id="M278" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>. HO<inline-formula><mml:math id="M279" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios were highest at mid-range altitudes (2–6 km), with values up to 20 pptv, and decreased aloft. OH mixing ratios were lowest at the surface (0.1–0.2 pptv) and increased with altitude. Above 10 km altitude, OH mixing ratios were 0.62 <inline-formula><mml:math id="M280" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.38 pptv for UTOPIHAN, 0.40 <inline-formula><mml:math id="M281" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.24 pptv for HOOVER, 0.30 <inline-formula><mml:math id="M282" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06 pptv for BLUESKY and 0.39 <inline-formula><mml:math id="M283" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08 pptv for the no-lockdown scenario.</p>
</sec>
<sec id="Ch1.S3.SS2.SSS2">
  <label>3.2.2</label><title>Net ozone production rates</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e4538">Vertical profiles of <bold>(a)</bold> net ozone production rates, <bold>(b)</bold> O<inline-formula><mml:math id="M284" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production via NO<inline-formula><mml:math id="M285" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> photolysis, <bold>(c)</bold> O<inline-formula><mml:math id="M286" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss via reaction with NO, <bold>(d)</bold> O<inline-formula><mml:math id="M287" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss via photolysis, <bold>(e)</bold> O<inline-formula><mml:math id="M288" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss via reaction with HO<inline-formula><mml:math id="M289" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and <bold>(f)</bold> O<inline-formula><mml:math id="M290" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss via reaction with OH for the campaigns UTOPIHAN (green), HOOVER (blue) and BLUESKY (red) and the no-lockdown (NL) scenario (yellow). The number of data points averaged per altitude bin are displayed in Table S2.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/6151/2022/acp-22-6151-2022-f05.png"/>

          </fig>

      <p id="d1e4630">Figure <xref ref-type="fig" rid="Ch1.F5"/> shows the vertical profiles of O<inline-formula><mml:math id="M291" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production and loss terms. All calculations were performed using model data (justified by the findings from Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>) as a full set of in situ observations is only available for HOOVER, but not for UTOPIHAN and BLUESKY. Figure <xref ref-type="fig" rid="Ch1.F5"/>a presents net ozone production rates, which were highest at the surface, with values between 1 and 2 ppbv h<inline-formula><mml:math id="M292" 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>, but had large atmospheric variabilities, represented by the <inline-formula><mml:math id="M293" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> variability shades from the vertical bin averaging. NOPRs then decreased with increasing altitude. For the HOOVER campaigns, O<inline-formula><mml:math id="M294" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss dominated between 3 and 6 km altitude, with NOPRs of <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">58.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">73.4</mml:mn></mml:mrow></mml:math></inline-formula> pptv h<inline-formula><mml:math id="M296" 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>. Negative NOPRs were also found for BLUESKY between 4 and 7 km, with <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12.9</mml:mn></mml:mrow></mml:math></inline-formula> pptv h<inline-formula><mml:math id="M298" 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 for UTOPIHAN as well as the no-lockdown BLUESKY scenario between 5 and 6 km. NOPRs were mostly positive and constant aloft. Above 10 km altitude, NOPRs were 91.7 <inline-formula><mml:math id="M299" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 260.9 pptv h<inline-formula><mml:math id="M300" 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> for UTOPIHAN (51 data points), 71.2 <inline-formula><mml:math id="M301" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 151.5 pptv h<inline-formula><mml:math id="M302" 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> for HOOVER (25 data points), 60.7 <inline-formula><mml:math id="M303" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 39.7 pptv h<inline-formula><mml:math id="M304" 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> for BLUESKY (130 data points) and 61.4 <inline-formula><mml:math id="M305" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 99.8 pptv h<inline-formula><mml:math id="M306" 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> for the no-lockdown scenario. The error ranges are large and overlapping, and therefore significant differences between the campaigns cannot be observed.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e4812">Modeled and experimental vertical profiles of <inline-formula><mml:math id="M307" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M308" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) for HOOVER. Modeled <inline-formula><mml:math id="M309" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M310" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) was calculated via NO<inline-formula><mml:math id="M311" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> photolysis, and experimental <inline-formula><mml:math id="M312" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M313" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) was calculated via the extended Leighton ratio as shown in Eq. (2).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/6151/2022/acp-22-6151-2022-f06.png"/>

          </fig>

      <p id="d1e4880">Figure <xref ref-type="fig" rid="Ch1.F5"/>b shows O<inline-formula><mml:math id="M314" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> production. We calculated the <inline-formula><mml:math id="M315" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M316" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) via the photolysis of NO<inline-formula><mml:math id="M317" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>. In contrast, NO<inline-formula><mml:math id="M318" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is not available experimentally for the HOOVER campaign, in which case the approximation via the extended Leighton ratio as shown in Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) is necessary. Modeled <inline-formula><mml:math id="M319" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M320" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) via NO<inline-formula><mml:math id="M321" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> photolysis and measured <inline-formula><mml:math id="M322" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M323" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) via reaction of NO with O<inline-formula><mml:math id="M324" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, OH and HO<inline-formula><mml:math id="M325" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> are in good agreement, which we show in Fig. <xref ref-type="fig" rid="Ch1.F6"/>. The only relevant deviation is observed at ground level, where the experimental value is significantly higher compared to the modeled value. However, only three data points were available for the calculation, with a <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> standard deviation of the averaging of <inline-formula><mml:math id="M327" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> %. Similar to NOPRs in Fig. <xref ref-type="fig" rid="Ch1.F5"/>a, ground-level <inline-formula><mml:math id="M328" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M329" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) shows large variability, with absolute values of around 10 ppbv h<inline-formula><mml:math id="M330" 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> for BLUESKY and values of around 20 ppbv h<inline-formula><mml:math id="M331" 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> for UTOPIHAN and HOOVER. The production term then decreased with altitude for each campaign. Significant differences between the campaigns can only be observed at high altitudes. Above 10 km, <inline-formula><mml:math id="M332" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) was 4.55 <inline-formula><mml:math id="M334" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.82 ppbv h<inline-formula><mml:math id="M335" 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> for UTOPIHAN (51 data points) and 2.68 <inline-formula><mml:math id="M336" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.90 ppbv h<inline-formula><mml:math id="M337" 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> for HOOVER (25 data points). For BLUESKY with the no-lockdown scenario, <inline-formula><mml:math id="M338" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M339" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) was 2.17 <inline-formula><mml:math id="M340" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.95 ppbv h<inline-formula><mml:math id="M341" 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> (130 data points), and in comparison, lockdown values were on average 0.97 <inline-formula><mml:math id="M342" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.41 ppbv h<inline-formula><mml:math id="M343" 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>, which corresponds to a 55 % reduction in ozone production. We observed the same relative reduction as for NO and NO<inline-formula><mml:math id="M344" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> mixing ratios.</p>
      <p id="d1e5175">Figure <xref ref-type="fig" rid="Ch1.F5"/>c presents the vertical profiles of O<inline-formula><mml:math id="M345" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss via the reaction with NO, which show a similar course compared to the <inline-formula><mml:math id="M346" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>(O<inline-formula><mml:math id="M347" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>) profiles. Above 10 km, O<inline-formula><mml:math id="M348" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> loss via reaction with NO was largest for UTOPIAN, with 4.37 <inline-formula><mml:math id="M349" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.82 ppbv h<inline-formula><mml:math id="M350" 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>, followed by HOOVER, with 2.56 <inline-formula><mml:math id="M351" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.87 ppbv h<inline-formula><mml:math id="M352" 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>. For BLUESKY, a loss of 0.86 <inline-formula><mml:math id="M353" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.42 ppbv h<inline-formula><mml:math id="M354" 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> was observed during the lockdown and a loss of 2.05 <inline-formula><mml:math id="M355" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.02 ppbv h<inline-formula><mml:math id="M356" 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> for the no-lockdown scenario. Figure <xref ref-type="fig" rid="Ch1.F5"/>d–f present additional considered loss pathways for O<inline-formula><mml:math id="M357" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> via photolysis and via the reactions with HO<inline-formula><mml:math id="M358" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and OH. It can be seen that these O<inline-formula><mml:math id="M359" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> losses are negligibly small in comparison to the loss via NO, and no significant differences between the campaigns were present.</p>
      <p id="d1e5321">Consequently, net production of ozone was dominated by NO<inline-formula><mml:math id="M360" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> chemistry for all campaigns, and variations in production and loss terms corresponded to the mixing ratios of NO and NO<inline-formula><mml:math id="M361" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> as presented in Fig. <xref ref-type="fig" rid="Ch1.F3"/>. In the campaign comparison, higher NO<inline-formula><mml:math id="M362" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> concentrations (as for example for UTOPIHAN) lead to higher production and loss terms of O<inline-formula><mml:math id="M363" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and vice versa. For the BLUESKY campaign, this analysis shows that the lockdown did not affect net ozone production rates but instead impacted the cycling of O<inline-formula><mml:math id="M364" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> such that both production and loss rates were decreased through the reduced availability of NO and NO<inline-formula><mml:math id="M365" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> in the upper troposphere.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Chemical regime</title>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e5392"><inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for the campaigns UTOPIHAN (green), HOOVER (blue) and BLUESKY (red) and the no-lockdown (NL) scenario (yellow) <bold>(a)</bold> as a vertical profile, <bold>(b)</bold> in correlation with NO below 2 km and <bold>(c)</bold> in correlation with NO above 10 km.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/6151/2022/acp-22-6151-2022-f07.png"/>

        </fig>

      <p id="d1e5429">As described above, the share of methyl peroxyradicals forming formaldehyde <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> can be a measure for the dominant chemical regime when correlated with NO mixing ratios. We have previously validated this method in a comparison to the established method of analyzing the HCHO<inline-formula><mml:math id="M368" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula>NO<inline-formula><mml:math id="M369" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratio <xref ref-type="bibr" rid="bib1.bibx48" id="paren.68"/>. HCHO can be formed by almost any hydrocarbon and is therefore a proxy for VOCs, which are often not measured in their entirety. Likewise, <inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> – representing the HCHO yield from methyl peroxy radicals – is capable of revealing the dominant chemical regime without the knowledge of ambient VOC levels. Figure <xref ref-type="fig" rid="Ch1.F7"/>a shows the vertical profiles of <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for all available data points for all campaigns based on the model simulation. <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> values were close to 1 at the surface and decreased with altitude up to around 5 km, where values of around 0.6 were observed, with no significant differences between the campaigns. <inline-formula><mml:math id="M373" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> increased again aloft, whereas it was lowest for the BLUESKY campaign. Above 10 km, <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was 0.97 <inline-formula><mml:math id="M375" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03 for UTOPIHAN, 0.98 <inline-formula><mml:math id="M376" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01 for HOOVER and 0.96 <inline-formula><mml:math id="M377" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04 for the no-lockdown scenario for BLUESKY. In comparison, <inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was lower for BLUESKY, with 0.90 <inline-formula><mml:math id="M379" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06.</p>
      <p id="d1e5623">Figure <xref ref-type="fig" rid="Ch1.F7"/>b and c present <inline-formula><mml:math id="M380" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> in correlation with NO mixing ratios below 2 km altitude and above 10 km altitude, respectively, based on model results. Below 2 km altitude, <inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> ranged between 0.5 and 1.0 over the NO range of 0–1 ppbv. No significant trends or differences can be observed. We show <inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> between 2 and 10 km altitude in Fig. S8, which does not present any differences between the campaigns either. In contrast, above 10 km altitude, tropospheric <inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> showed a different behavior for each campaign. For an easier distinction, we show each campaign in an individual panel in Fig. S9. For UTOPIHAN, <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> was high and almost non-responsive to changing NO mixing ratios, with a slope of <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">α</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow></mml:math></inline-formula>NO <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.09</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula> ppbv<inline-formula><mml:math id="M387" 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>. In contrast, <inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> for BLUESKY was between 0.75 and 1. Small changes in NO mixing ratios caused large changes in <inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, with a slope of 1.12 <inline-formula><mml:math id="M390" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08 ppbv<inline-formula><mml:math id="M391" 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>. For the no-lockdown scenario the response of <inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> to NO was intermediate between UTOPIHAN and BLUESKY with a slope of 0.37 <inline-formula><mml:math id="M393" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03 ppbv<inline-formula><mml:math id="M394" 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>. These observations suggest that a VOC-limited chemical regime was present during the UTOPIHAN campaign in the upper troposphere and a transition regime during the BLUESKY no-lockdown scenario, likely due to emission control over time. For BLUESKY, we observe a distinct NO<inline-formula><mml:math id="M395" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> limitation in the upper troposphere, which is related to the lockdown conditions. Aircraft NO<inline-formula><mml:math id="M396" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions are much larger than aircraft VOC emissions <xref ref-type="bibr" rid="bib1.bibx62" id="paren.69"/>. We can therefore expect reduced air traffic to effect lower NO<inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula>VOC ratios, shifting chemistry towards a NO<inline-formula><mml:math id="M398" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime. <xref ref-type="bibr" rid="bib1.bibx33" id="text.70"/> reported ground-level reductions in several aromatic VOCs during the COVID-19 lockdown to be comparable to NO<inline-formula><mml:math id="M399" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> reductions in Europe, implicating a steady NO<inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula>VOC level and therefore no changes in the dominating chemical regime, which is in line with our findings for the lower troposphere. Only few data points were available for HOOVER, which were observed at similar NO levels, and the response of <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> to NO can therefore not be investigated. While the NOPRs did not change under lockdown conditions due to compensating effects in the NO<inline-formula><mml:math id="M402" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> chemistry, we can expect impacts on tropospheric ozone from changes in VOCs (including CH<inline-formula><mml:math id="M403" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) relevant for future emission scenarios. The effects of NO<inline-formula><mml:math id="M404" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> aircraft emissions on O<inline-formula><mml:math id="M405" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and CH<inline-formula><mml:math id="M406" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> have been previously discussed for pre-lockdown conditions in <xref ref-type="bibr" rid="bib1.bibx27" id="text.71"/> and <xref ref-type="bibr" rid="bib1.bibx28" id="text.72"/>, who present increased methane loss rates and a shorter lifetime as a response to increased OH concentrations from aviation as well as higher ozone production rates. Having investigated NOPRs in this study, lockdown effects on CH<inline-formula><mml:math id="M407" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> loss in the upper troposphere induced by reduced air traffic could be subject to future studies.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d1e6026">In this study, we present in situ observations of atmospheric trace gases and model simulations from the EMAC model for three different aircraft campaigns across Europe: the UTOPIHAN campaigns in 2003/04, the HOOVER campaigns in 2006/07 and the BLUESKY campaign in 2020, including a modeled “no-lockdown scenario” with business-as-usual emissions for the latter. We found that model results can reproduce in situ observations well and thus could be used for further analysis which benefits from a more complete set of parameters and a higher data coverage. While observations for O<inline-formula><mml:math id="M408" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, CO and HO<inline-formula><mml:math id="M409" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> were very similar for all campaigns, NO<inline-formula><mml:math id="M410" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> showed significant differences, particularly in the upper troposphere, where mixing ratios were highest for UTOPIHAN and HOOVER, followed by the no-lockdown scenario for BLUESKY. Observed NO and NO<inline-formula><mml:math id="M411" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> emissions during the BLUESKY campaign were approximately 55 % lower compared to the modeled no-lockdown scenario, which are attributed to reduced aircraft activity at these altitudes due to the COVID-19 travel restrictions. We found a similar trend in production and loss terms of O<inline-formula><mml:math id="M412" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula>, which were dominated by NO<inline-formula><mml:math id="M413" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> chemistry. The COVID-19 lockdown caused a significant deceleration in O<inline-formula><mml:math id="M414" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> cycling, whereas net ozone production rates were not affected by the emission reductions. Finally, we showed that chemistry in the upper troposphere was VOC-limited during the UTOPIHAN campaign, NO<inline-formula><mml:math id="M415" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited during the BLUESKY campaign and in a transition regime for the BLUESKY no-lockdown scenario. While ground-level chemistry regimes were not found to be affected, the COVID-19 lockdown caused the predominant chemistry to shift from a transition regime to a clear NO<inline-formula><mml:math id="M416" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited regime at high altitudes.</p>
      <p id="d1e6111">We found that the three aircraft campaigns, performed over a period of 17 years, represent the range from VOC- to NO<inline-formula><mml:math id="M417" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>-limited tropospheric ozone chemistry, which can help analyze the impacts of anthropogenic emission scenarios. We encourage future studies to investigate the dominating chemical regime in the upper troposphere, a topic which has not received much attention in the literature so far, in order to get a deeper understanding of photochemical processes and the dominant ozone chemistry in a range of the atmosphere which receives its main NO<inline-formula><mml:math id="M418" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> emissions from air traffic and lightning. The COVID-19 lockdown has been a unique opportunity to examine the effect of sharp reductions in primary pollutants on our atmosphere and could be a guidepost for future air policy in an effort to decrease anthropogenic emissions and to decelerate global warming.</p>
</sec>

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

      <p id="d1e6137">Data measured during the flight campaigns BLUESKY, UTOPIHAN and HOOVER are available upon request at <uri>https://keeper.mpdl.mpg.de/</uri> (last access: 9 May 2022) to all scientists agreeing to the respective data protocols. The model results used in this study are available upon request to the author.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e6143">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-22-6151-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-22-6151-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e6152">CMN and HF had the idea and designed the study. CMN analyzed the data and wrote the manuscript. AP provided the modeling data. IT provided NO data for BLUESKY. CO data for BLUESKY were received from LR. O<inline-formula><mml:math id="M419" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> data for BLUESKY were obtained from FO. HH provided HO<inline-formula><mml:math id="M420" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> data for HOOVER. JL and HF were significantly involved in planning and operating the research campaign.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e6176">At least one of the (co-)authors is a member of the editorial board of <italic>Atmospheric Chemistry and Physics</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e6185">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e6191">This article is part of the special issue “BLUESKY atmospheric composition measurements by aircraft during the COVID-19 lockdown in spring 2020”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e6197">We acknowledge Simon Reifenberg for preparing the input data for EMAC. This work was supported by the Max Planck Graduate Center (MPGC) with the Johannes Gutenberg-Universität Mainz.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e6202">The article processing charges for this open-access  publication were covered by the Max Planck Society.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e6208">This paper was edited by Stefania Gilardoni and reviewed by two anonymous referees.</p>
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