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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Research article}?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-23-1369-2023</article-id><title-group><article-title>Airborne glyoxal measurements in the marine and continental atmosphere: comparison with TROPOMI observations and EMAC simulations</article-title><alt-title>Global glyoxal measurements</alt-title>
      </title-group><?xmltex \runningtitle{Global glyoxal measurements}?><?xmltex \runningauthor{F. Kluge et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Kluge</surname><given-names>Flora</given-names></name>
          <email>fkluge@iup.uni-heidelberg.de</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff5">
          <name><surname>Hüneke</surname><given-names>Tilman</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lerot</surname><given-names>Christophe</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0540-187X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Rosanka</surname><given-names>Simon</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5929-163X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rotermund</surname><given-names>Meike K.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Taraborrelli</surname><given-names>Domenico</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2213-6307</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Weyland</surname><given-names>Benjamin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3165-4467</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff4">
          <name><surname>Pfeilsticker</surname><given-names>Klaus</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7851-6029</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Environmental Physics, Heidelberg University, Heidelberg, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Atmospheric Reactive Gases, Royal Belgian Institute for Space Aeronomy (BIRA-IASB), Brussels, Belgium</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute for Energy and Climate Research: Troposphere (IEK-8),
Forschungszentrum Jülich, Jülich, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Heidelberg Center for the Environment, Heidelberg University, Heidelberg, Germany</institution>
        </aff>
        <aff id="aff5"><label>a</label><institution>now at: Encavis AG, Hamburg, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Flora Kluge (fkluge@iup.uni-heidelberg.de)</corresp></author-notes><pub-date><day>25</day><month>January</month><year>2023</year></pub-date>
      
      <volume>23</volume>
      <issue>2</issue>
      <fpage>1369</fpage><lpage>1401</lpage>
      <history>
        <date date-type="received"><day>8</day><month>June</month><year>2022</year></date>
           <date date-type="rev-request"><day>14</day><month>July</month><year>2022</year></date>
           <date date-type="rev-recd"><day>22</day><month>December</month><year>2022</year></date>
           <date date-type="accepted"><day>23</day><month>December</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 </copyright-statement>
        <copyright-year>2023</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e173">We report on airborne limb and nadir measurements of vertical profiles and total vertical column densities (VCDs) of glyoxal (<inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) in the troposphere, which were performed aboard the German research aircraft HALO (High Altitude and LOng Range) in different regions and seasons around the globe between 2014 and 2019. The airborne nadir and integrated limb profiles agree excellently among each other. Our airborne observations are further compared to collocated glyoxal measurements of the TROPOspheric Monitoring Instrument (TROPOMI), with good agreement between both data sets for glyoxal observations in (1) pristine terrestrial, (2) pristine marine, (3) mixed polluted, and (4) biomass-burning-affected air masses with high glyoxal concentrations. Exceptions to the overall good agreement are observations of (1) faint and aged biomass burning plumes over the oceans and (2) of low-lying biomass burning or anthropogenic plumes in the terrestrial or marine boundary layer, both of which contain elevated glyoxal that is mostly not captured by TROPOMI. These differences in airborne and satellite-detected glyoxal are most likely caused by the overall small contribution of plumes of a limited extent to the total glyoxal absorption in the atmosphere and the difficulty in remotely detecting weak absorbers located close to low reflective surfaces (e.g. the ocean in the visible wavelength range) or within dense aerosol layers. Observations of glyoxal in aged biomass burning plumes (e.g. observed over the tropical Atlantic off the coast of West Africa in summer 2018, off the coast of Brazil by the end of the dry season 2019, and the East China Sea in spring 2018) could be traced back to related wildfires, such as a plume crossing over the Drake Passage that originated from the Australian bushfires in late 2019. Our observations of glyoxal in such aged biomass burning plumes confirm recent findings of enhanced glyoxal and presumably secondary organic aerosol (SOA) formation in aged wildfire plumes from yet-to-be-identified, longer-lived organic precursor molecules (e.g. aromatics, acetylene, or aliphatic compounds) co-emitted in the fires. Furthermore, elevated glyoxal (median 44 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> – parts per trillion), as compared to other marine regions (median 10–19 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>), is observed in the boundary layer over the tropical oceans, which is well in agreement with previous reports. The airborne data sets are further compared to glyoxal simulations performed with the global atmosphere chemistry model EMAC (ECHAM/MESSy Atmospheric Chemistry). When using an EMAC set up that resembles recent EMAC studies focusing on complex chemistry, reasonable agreement is found for pristine air masses (e.g. the unperturbed free and upper troposphere), but a notable glyoxal overestimation of the model exists for regions with high emissions of glyoxal and glyoxal-producing volatile organic compounds (VOCs) from the biosphere (e.g. the Amazon). In all other investigated regions, the model underpredicts glyoxal to varying degrees, in particular when probing mixed emissions from anthropogenic activities (e.g. over continental Europe, the Mediterranean, and East China Sea) and potentially from the sea (e.g. the tropical oceans). Also, the model tends to largely underpredict glyoxal in city plumes and aged biomass burning plumes. The potential causes for these differences are likely to be multifaceted, but they all point to missing glyoxal sources from the degradation of the mixture of potentially longer-chained organic compounds emitted from anthropogenic activities, biomass burning, and from the organic microlayer of the sea surface.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e222">Glyoxal (<inline-formula><mml:math id="M4" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), the simplest <inline-formula><mml:math id="M5" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-dicarbonyl, has significant importance in air quality and climate due to its role as an intermediary in the oxidation of hydrocarbons (e.g. <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx117 bib1.bibx26 bib1.bibx73 bib1.bibx122 bib1.bibx75 bib1.bibx58 bib1.bibx15 bib1.bibx129" id="altparen.1"/>) and as an important precursor for secondary organic aerosol (SOA) formation and, thus, for the aerosol forcing of climate (e.g. <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx61 bib1.bibx120 bib1.bibx63 bib1.bibx47 bib1.bibx44" id="altparen.2"/>).</p>
      <p id="d1e259">The global sources of glyoxal are estimated to be 45 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">a</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx26" id="paren.3"/>, and the largest single source (<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">47</mml:mn></mml:mrow></mml:math></inline-formula> %) is believed to be the oxidation of isoprene emitted by vegetation  (e.g. <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx58 bib1.bibx15 bib1.bibx129" id="altparen.4"/>). Precursor molecules of glyoxal that are mostly (but not exclusively) anthropogenically emitted include alkenes, acetylene, various aromatics, monoterpenes, and other volatile organic compounds (VOCs) with different yields <xref ref-type="bibr" rid="bib1.bibx117 bib1.bibx26 bib1.bibx75 bib1.bibx110" id="paren.5"/>. A recent study found that, below 2 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude, the production of glyoxal in the city plume of the Seoul metropolitan area (South Korea) was mainly (<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">59</mml:mn></mml:mrow></mml:math></inline-formula> %) caused by the oxidation of aromatics initiated by hydroxyl radicals <xref ref-type="bibr" rid="bib1.bibx44" id="paren.6"/>. Glyoxal is also directly emitted in considerable amounts by biomass burning, together with a suite of organic glyoxal precursor molecules in seasonally and regionally amounts with large variations  (e.g. <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx1 bib1.bibx104 bib1.bibx134 bib1.bibx135 bib1.bibx46" id="altparen.7"/>).</p>
      <p id="d1e323">The predominant photochemical loss process of glyoxal is photolysis and, to a lesser degree, reactions with <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula> radicals <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx118 bib1.bibx107 bib1.bibx26 bib1.bibx129" id="paren.8"/>. The uptake of glyoxal on aerosols in polluted environments and on cloud particles can eventually compete with its photochemical losses (e.g. <xref ref-type="bibr" rid="bib1.bibx120 bib1.bibx44" id="altparen.9"/>), primarily due to its high water solubility (e.g. <xref ref-type="bibr" rid="bib1.bibx137 bib1.bibx50 bib1.bibx35 bib1.bibx43" id="altparen.10"/>) and oligomerisation potential (e.g. <xref ref-type="bibr" rid="bib1.bibx131 bib1.bibx60 bib1.bibx65 bib1.bibx27" id="altparen.11"/>). While the global mean lifetime of glyoxal is less than a few hours, in the sunlit polluted atmosphere, it can be as short as half an hour due to photolysis, reactions with <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, and heterogeneous uptake <xref ref-type="bibr" rid="bib1.bibx120 bib1.bibx44" id="paren.12"/>.</p>
      <p id="d1e358">Accordingly, due to the varying source strength of glyoxal and its short lifetime, in pristine air its mixing ratios may range from several parts per trillion (<inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>) to a few tens of ppt. For example, 7–23 <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> of glyoxal were found over the South Pacific <xref ref-type="bibr" rid="bib1.bibx53" id="paren.13"/> or up to 10 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> at the Cape Verde Atmospheric Observatory (CVAO; São Vicente island) over the tropical Atlantic <xref ref-type="bibr" rid="bib1.bibx124" id="paren.14"/>. Furthermore, <xref ref-type="bibr" rid="bib1.bibx67" id="text.15"/> reported an average glyoxal mixing ratio of 25 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> from 10 ship missions over the open oceans in different parts of the world. Contrary to the low glyoxal mixing ratios observed in the pristine marine environment, in polluted air, glyoxal mixing ratios may reach several 100 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> (e.g. <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx118 bib1.bibx120 bib1.bibx26 bib1.bibx100 bib1.bibx126 bib1.bibx7 bib1.bibx41 bib1.bibx121 bib1.bibx15 bib1.bibx46 bib1.bibx44" id="altparen.16"/>, and others) or even up to 1.6 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula> (parts per billion), as found over a tropical rainforest with large emissions of isoprene in Southeast Asia <xref ref-type="bibr" rid="bib1.bibx66" id="paren.17"/>.</p>
      <p id="d1e426">Glyoxal is detectable from space by satellites applying a similar technique (differential optical absorption spectroscopy – DOAS; <xref ref-type="bibr" rid="bib1.bibx80" id="altparen.18"/>) to that used for the airborne data in this study. Accordingly, since the first glyoxal observations of UV-Vis nadir-observing spectrometers (e.g. from the SCanning Imaging Absorption spectroMeter for Atmospheric CHartographY – SCIAMACHY; <xref ref-type="bibr" rid="bib1.bibx132" id="altparen.19"/>), numerous studies with ever-increasing observation capabilities and spatial resolution have been reported for spaceborne measurements of vertical column densities (VCDs) of glyoxal (e.g. from the instruments OMI, Ozone Monitoring Instrument, and TROPOMI, TROPOspheric Monitoring Instrument; <xref ref-type="bibr" rid="bib1.bibx101 bib1.bibx122 bib1.bibx56 bib1.bibx123 bib1.bibx14 bib1.bibx3 bib1.bibx2 bib1.bibx57" id="altparen.20"/>, and many others). These spaceborne measurements provided a wealth of new information on the worldwide sources, occurrence, and abundance of glyoxal and its relation to the photochemistry of VOCs and aerosols (e.g. <xref ref-type="bibr" rid="bib1.bibx26" id="altparen.21"/>).</p>
      <p id="d1e441">Simultaneous measurements of formaldehyde (<inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) and glyoxal by satellites and airborne instruments complemented by modelling have been exploited to study its different sources (e.g. <xref ref-type="bibr" rid="bib1.bibx102 bib1.bibx56 bib1.bibx10 bib1.bibx14 bib1.bibx8 bib1.bibx103" id="altparen.22"/>), to elucidate the secondary aerosol formation from carbonyls (typically in the background atmosphere) and its fate in biomass burning plumes (e.g. <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx58 bib1.bibx62" id="altparen.23"/>), and, even more recently, to estimate the organic aerosol abundance <xref ref-type="bibr" rid="bib1.bibx59" id="paren.24"/>. Ground-based, airborne, and spaceborne simultaneous measurements of formaldehyde and glyoxal and of the <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</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:mo>/</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> ratio were further helpful to study the glyoxal yield from isoprene oxidation in relation to formaldehyde, to specify the various hydrocarbon glyoxal precursors, to investigate the anthropogenic impact on rural photochemistry, and, more recently, to investigate the sources of glyoxal and the chemical evolution of VOCs in biomass burning plumes (e.g. <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx132 bib1.bibx123 bib1.bibx22 bib1.bibx66 bib1.bibx41 bib1.bibx8 bib1.bibx58 bib1.bibx15 bib1.bibx134 bib1.bibx32 bib1.bibx9 bib1.bibx3 bib1.bibx46" id="altparen.25"/>).</p>
      <p id="d1e508">Together with respective photochemical model simulations, some of the glyoxal observations point to deficits in our present understanding of atmospheric glyoxal. This includes the observation of unexpected large glyoxal concentrations in the marine boundary layer of the eastern Pacific up to 3000 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> from the continental coast by shipborne (up to 140 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>; <xref ref-type="bibr" rid="bib1.bibx100" id="altparen.26"/>) and airborne measurements (32–36 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>; <xref ref-type="bibr" rid="bib1.bibx121" id="altparen.27"/>). These measurements revealed an as yet unknown marine source of glyoxal, possibly from ozone-driven reactions with the organic microlayer at the sea surface, which, in idealised seawater laboratory experiments, have been shown to produce glyoxal <xref ref-type="bibr" rid="bib1.bibx136" id="paren.28"/> and/or secondary formation from oxidised VOC (OVOC) precursor molecules, such as acetaldehyde, acetylene, and others <xref ref-type="bibr" rid="bib1.bibx125" id="paren.29"/>. Furthermore, unlike for formaldehyde, the models had still varying success in reproducing the glyoxal VCDs <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx101 bib1.bibx56" id="paren.30"/>. Moreover, in comparisons of satellite measurements from SCIAMACHY and the Global Ozone Monitoring Experiment–2 (GOME-2), several studies have found that the models underestimate global glyoxal emissions when not considering additional biogenic sources <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx101 bib1.bibx56" id="paren.31"/>. Finally, a recent study by <xref ref-type="bibr" rid="bib1.bibx3" id="text.32"/> found (unexpected) large amounts of glyoxal (and formaldehyde) in several-days-old air masses originating from Canadian wildfires in August 2018, which can only be reconciled with the source strength and lifetime of glyoxal if considering the secondary formation of glyoxal from OVOCs that were co-emitted from the fires.</p>
      <p id="d1e557">Here, we report on airborne measurements of glyoxal concentrations (limb) and total vertical column densities (nadir) performed during eight missions from the German research aircraft HALO (High Altitude and LOng Range) in different regions of the globe between 2014 and 2019. The measurements are able to provide novel information on the sources and fate of glyoxal in the atmosphere and address aspects on some open issues in glyoxal and VOC research, as outlined above. This includes novel insights into the amount and vertical distribution of glyoxal in the polluted terrestrial (South America, Europe, and East Asia), polluted marine (East China and Mediterranean Sea; South American and West African coastlines), pristine terrestrial (South America), and pristine marine (South and North Atlantic) atmosphere. The observations may thus not only serve for a cross-validation of respective satellite observations but also simulations of atmosphere chemistry models to better assess the global budget of glyoxal, the role of glyoxal for the atmospheric oxidation capacity, and its contribution to secondary aerosol formation. Finally, our glyoxal profiles and VCDs measured in different regions and seasons may also serve as input for air mass calculations necessary to better infer the total atmospheric column densities of glyoxal from the various satellite observations (e.g. GOME-2, SCIAMACHY, OMI, and TROPOMI).</p>
      <p id="d1e560">In the present study, the airborne nadir glyoxal measurements are corroborated and cross-validated by near-collocated observations of the TROPOMI satellite instrument. The limb and nadir measurements are further compared to simulations of the global ECHAM/MESSy Atmospheric Chemistry (EMAC) model. The specific scientific questions addressed in this publication include (1) the marine and terrestrial background of glyoxal and its potential sources, (2) the sources of glyoxal in the polluted atmosphere, (3) secondarily formed glyoxal in biomass burning plumes, and (4) its potential contribution to secondary aerosol formation.</p>
      <p id="d1e563">The paper is organised as follows. Section 2 briefly describes the measurement technique and involved methods used in the present study. Section 3 reports on the deployment and measurements of the mini-DOAS instrument on eight missions of the HALO research aircraft into different regions from 2014 until 2019. Section 4 presents the airborne concentration and VCD measurements of glyoxal. The latter are then compared to collocated total atmospheric column density observations of glyoxal made from the TROPOMI instrument. Finally, both airborne data sets – glyoxal concentrations and VCDs – are compared to simulations of the global atmosphere chemistry model EMAC. Section 5 discusses the major findings and results, and Sect. 6 concludes and summarises the study.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Instruments and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>The airborne mini-DOAS measurements</title>
      <p id="d1e581">The airborne mini-DOAS measurements of ultraviolet, visible, and near-infrared (UV, Vis, and near-IR) absorbing gases involve (1) the simultaneous measurements of limb and nadir scattered skylight, (2) the DOAS analysis of the measured skylight spectra for the target gases <xref ref-type="bibr" rid="bib1.bibx80" id="paren.33"/>, and (3) forward radiative transfer modelling of the observations using the Monte Carlo model McArtim <xref ref-type="bibr" rid="bib1.bibx21" id="paren.34"/>. In a last step, trace gas concentrations are inferred from the limb observations by scaling the measured slant column densities (SCDs), using simultaneously measured SCDs of a scaling gas of a known concentration (e.g. <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) or the calculated (clear-sky) extinction of the collisional complex <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (hereafter <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; e.g. <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx34 bib1.bibx105 bib1.bibx130 bib1.bibx46 bib1.bibx94" id="altparen.35"/>). For the nadir observations, air mass factors are simulated using the same radiative transfer model (McArtim) to infer VCDs from the measured SCDs.</p>
      <p id="d1e634">The presented study focuses on the nadir and limb measurements of <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and glyoxal by the mini-DOAS instrument made aboard the German research aircraft HALO during a total of 72 research flights on eight scientific missions covering different regions of the globe. The processing of the measured data is mainly based on our previous study on <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, formaldehyde, and glyoxal <xref ref-type="bibr" rid="bib1.bibx46" id="paren.36"/>. Since some aspects of the data processing have changed since then, necessary details on these changes and refinements are provided in the following.</p>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>The mini-DOAS instrument</title>
      <p id="d1e669">The mini-DOAS instrument is a UV/Vis/near-IR six-channel optical spectrometer which has been operated on board the HALO research aircraft since 2011. It detects and spectrally analyses nadir and limb scattered sunlight in the UV (310–440 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, full width at half maximum (FWHM) <inline-formula><mml:math id="M29" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.47 <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>), Vis (420–640 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, FWHM <inline-formula><mml:math id="M32" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.0 <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>), and near-IR (1100–1680 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>, FWHM <inline-formula><mml:math id="M35" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>) wavelength ranges <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx34" id="paren.37"/>. The six telescopes (field of view (FOV) 0.5<inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M38" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 3.15<inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) collect the skylight from fixed nadir and limb viewing geometries each in the UV, VIS, and near-IR channel. The limb telescopes can be adjusted to varying elevation angles (<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> to <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">90</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) when commanded but are normally aligned with a rate of 10 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> at <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> below the horizon to compensate for the changing roll angle of the aircraft. Glass fibre bundles transmit the collected skylight to six optical spectrometers assembled in an evacuated (<inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> mbar) and thermostated housing (<inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) in the otherwise unpressurised and uninsulated boiler room of the aircraft. In the limb geometry, the mini-DOAS instrument probes air masses perpendicular to the aircraft's flight direction on the starboard side, with typical photon path lengths in the visible wavelength range ranging from <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (at 2 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude) to about <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> at the maximum flight altitude of the aircraft at around 15 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, depending on the wavelength, aerosol concentration, and cloud cover (see Fig. 2 in <xref ref-type="bibr" rid="bib1.bibx46" id="altparen.38"/>, and below). In the nadir observation mode, the instrument receives light from the surface and atmosphere below the flight altitude (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). It thus preferably measures glyoxal below the aircraft, with a rectangular footprint of <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">600</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> cross-track and several kilometres along-track (FOV 3.15<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M58" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.38<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), depending on the flight altitude, cruising velocity (typically <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> m s<inline-formula><mml:math id="M61" 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 the upper troposphere), and signal integration time (up to 1 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>). Furthermore, an Imaging Development Systems GmbH uEye camera (FOV 46<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) aligned with the limb telescopes provides images of the sampled atmosphere at 1 <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Hz</mml:mi></mml:mrow></mml:math></inline-formula> resolution.</p>
      <p id="d1e1009">More details of the instrument design, its major features, and the deployment on the HALO aircraft, the measurement method, the spectral retrieval, and the data processing can be found in <xref ref-type="bibr" rid="bib1.bibx34" id="text.39"/>.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>The spectral retrieval</title>
      <p id="d1e1023">The measured skylight spectra are analysed using the DOAS technique <xref ref-type="bibr" rid="bib1.bibx80" id="paren.40"/>. The retrieval details such as wavelength ranges, included trace gases, and fitting parameters for each gas are provided in Tables <xref ref-type="table" rid="Ch1.T1"/> and <xref ref-type="table" rid="Ch1.T2"/>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1036">Trace gas absorption cross sections used for the spectral retrieval. For <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, gas phase (g) and liquid phase (l), absorption cross sections are used.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">No.</oasis:entry>
         <oasis:entry colname="col2">Absorber</oasis:entry>
         <oasis:entry colname="col3">Temperature (K)</oasis:entry>
         <oasis:entry colname="col4">Reference</oasis:entry>
         <oasis:entry colname="col5">Uncertainty (%)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1a</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">273</oasis:entry>
         <oasis:entry colname="col4">
                      <xref ref-type="bibr" rid="bib1.bibx111" id="text.41"/>
                    </oasis:entry>
         <oasis:entry colname="col5">4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1b</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">293</oasis:entry>
         <oasis:entry colname="col4">
                      <xref ref-type="bibr" rid="bib1.bibx111" id="text.42"/>
                    </oasis:entry>
         <oasis:entry colname="col5">4</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2a</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M68" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">203</oasis:entry>
         <oasis:entry colname="col4">
                      <xref ref-type="bibr" rid="bib1.bibx98" id="text.43"/>
                    </oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2b</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">223</oasis:entry>
         <oasis:entry colname="col4">
                      <xref ref-type="bibr" rid="bib1.bibx98" id="text.44"/>
                    </oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2c</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M70" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">273</oasis:entry>
         <oasis:entry colname="col4">
                      <xref ref-type="bibr" rid="bib1.bibx98" id="text.45"/>
                    </oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M71" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">294</oasis:entry>
         <oasis:entry colname="col4">
                      <xref ref-type="bibr" rid="bib1.bibx115" id="text.46"/>
                    </oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4a</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M72" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (g)</oasis:entry>
         <oasis:entry colname="col3">293</oasis:entry>
         <oasis:entry colname="col4">
                      <xref ref-type="bibr" rid="bib1.bibx95" id="text.47"/>
                    </oasis:entry>
         <oasis:entry colname="col5">8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4b</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M73" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (g)</oasis:entry>
         <oasis:entry colname="col3">296</oasis:entry>
         <oasis:entry colname="col4">
                      <xref ref-type="bibr" rid="bib1.bibx81" id="text.48"/>
                    </oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4c</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M74" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (l)</oasis:entry>
         <oasis:entry colname="col3">295</oasis:entry>
         <oasis:entry colname="col4">
                      <xref ref-type="bibr" rid="bib1.bibx82" id="text.49"/>
                    </oasis:entry>
         <oasis:entry colname="col5">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M75" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">293</oasis:entry>
         <oasis:entry colname="col4">
                      <xref ref-type="bibr" rid="bib1.bibx16" id="text.50"/>
                    </oasis:entry>
         <oasis:entry colname="col5">10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">296</oasis:entry>
         <oasis:entry colname="col4">
                      <xref ref-type="bibr" rid="bib1.bibx119" id="text.51"/>
                    </oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1447">Details of the DOAS spectral analysis for the target trace gases.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Spectrometer</oasis:entry>
         <oasis:entry colname="col2">Target gas</oasis:entry>
         <oasis:entry colname="col3">Spectral interval (nm)</oasis:entry>
         <oasis:entry colname="col4">Fitted absorbers (see Table <xref ref-type="table" rid="Ch1.T1"/>)</oasis:entry>
         <oasis:entry colname="col5">Polynomial</oasis:entry>
         <oasis:entry colname="col6">Mission (<inline-formula><mml:math id="M79" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Limb</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M80" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">460–490</oasis:entry>
         <oasis:entry colname="col4">1a, 2a, 2c, 3, 4a</oasis:entry>
         <oasis:entry colname="col5">2</oasis:entry>
         <oasis:entry colname="col6">1, 2, 3, 4, 5, 6, 7, 8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Limb</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M81" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">420–439 and 447–465</oasis:entry>
         <oasis:entry colname="col4">1a, 2c, 3, 4a, 6</oasis:entry>
         <oasis:entry colname="col5">2</oasis:entry>
         <oasis:entry colname="col6">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M82" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">435–460</oasis:entry>
         <oasis:entry colname="col4">1b, 2b, 3, 4b, 4c, 6</oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
         <oasis:entry colname="col6">4, 6, 8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M83" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">430–460</oasis:entry>
         <oasis:entry colname="col4">1b, 2b, 3, 4b, 4c, 6</oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
         <oasis:entry colname="col6">2, 3, 5, 7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Nadir</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">435–460</oasis:entry>
         <oasis:entry colname="col4">1b, 2b, 3, 4b, 4c, 6</oasis:entry>
         <oasis:entry colname="col5">3</oasis:entry>
         <oasis:entry colname="col6">3, 4, 5, 6, 7, 8</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d1e1450">Additional parameters for all spectral retrievals are the (a) offset spectrum, (b) ring spectrum, and (c) ring spectrum multiplied by <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M78" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> represents ACRIDICON-CHUVA (1), OMO (2), EMeRGe-EU (3), WISE (4), EMeRGe-Asia (5), CoMet (6), CAFE-Africa (7), and SouthTRAC (8). </p></table-wrap-foot></table-wrap>

      <p id="d1e1720">The spectral retrieval settings of the limb and nadir glyoxal observations are based on the recent TROPOMI glyoxal analysis from <xref ref-type="bibr" rid="bib1.bibx57" id="text.52"/>, in support of better comparability for both data sets (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>). However, since the mini-DOAS measurements were not found to be significantly affected by changing <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> concentrations, only a single <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> absorption cross section (at a warmer temperature) is included in our analysis to account for the tropospheric <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> absorption. A noteworthy difference in our recent glyoxal retrieval of the ACRIDICON (Aerosol, Cloud, Precipitation, and Radiation Interactions and Dynamics of Convective Cloud Systems)–CHUVA (Cloud Processes of the Main Precipitation Systems in Brazil)  data is the use of a continuous fitting window ranging from 430 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> (or 435 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> for missions 4, 6, and 8 (numbering according to Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>) and all nadir observations) to 460 <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> instead of employing two simultaneous retrieval windows from 420 to 439 and 447 to 465 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx46" id="paren.53"/>. The comparison of both approaches (i.e. when performing the spectral analysis for each spectrum, with both based on one continuous and the two discrete wavelength ranges) yields an improvement in the spectral residuum by a factor of 3 when using the continuous retrieval window; however, there are comparable differential slant column density (dSCD) and signal-to-noise ratios from both approaches. For the processing of the data from different missions, minor adjustments to the retrieval settings (e.g. lower end of the analysed wavelength range or temperatures of the included absorption cross sections) are applied when needed. Primarily, these adjustments are necessary to compensate for mechanical modifications of the instrument and hence of the optical imaging (e.g. due to a fibre bundle replacement, which causes changes in the lower wavelength limit of the spectrometers) and due to the largely changing ambient conditions during the different research missions.</p>
      <p id="d1e1799">In particular for nadir observations in a moist atmosphere and above the ocean, the DOAS analysis of glyoxal is challenging due to its low optical density (<inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and the proximity of the main absorption bands to the much stronger <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mn mathvariant="normal">7</mml:mn><mml:mi mathvariant="italic">ν</mml:mi></mml:mrow></mml:math></inline-formula> absorption band of water vapour (optical density of the order of <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; <xref ref-type="bibr" rid="bib1.bibx127" id="altparen.54"/>). Therefore, for such observations, 5–150 consecutively measured skylight spectra are co-added in order to minimise potential spectral interferences, while optimising the signal-to-noise ratio, at the expense of enlarging the footprint of the affected measurements (as discussed in detail below).</p>
      <p id="d1e1845">Since the DOAS method infers a dSCD relative to a solar Fraunhofer reference spectrum (SCD<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ref</mml:mi></mml:msub></mml:math></inline-formula>), the total slant column has to be inferred from the following:
              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M96" display="block"><mml:mrow><mml:mi mathvariant="normal">SCD</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">SCD</mml:mi><mml:mi mathvariant="normal">ref</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="normal">dSCD</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            For the glyoxal retrieval, SCD<inline-formula><mml:math id="M97" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ref</mml:mi></mml:msub></mml:math></inline-formula> is determined from a limb measurement which compromises between minimal solar zenith angle, minimal cloud fraction, and maximal flight altitude (above which insignificant or no glyoxal is expected). If a sufficient flight altitude was not reached during a particular flight (mostly EMeRGe-EU and EMeRGe-Asia missions), then a reference from a different research flight was chosen to fulfil the above conditions. For the retrieval of the <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> extinction, <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SCD</mml:mi><mml:mi mathvariant="normal">ref</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is determined using a high-resolution solar reference spectrum <xref ref-type="bibr" rid="bib1.bibx112" id="paren.55"/>.</p>
      <p id="d1e1913">Based on an exposure time of 300 ms, a saturation of 60 %, and 100 co-added readouts (30 s integration time), the mini-DOAS detection limit for glyoxal is <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx80" id="paren.56"/>. Depending on SCD<inline-formula><mml:math id="M102" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ref</mml:mi></mml:msub></mml:math></inline-formula> and the related air mass factors (Sect. <xref ref-type="sec" rid="Ch1.S2.SS1.SSS3"/>) and hence the flight altitude for limb measurements, this results in a detection limit ranging from 1 <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> (during clear skies and for a light path of about 100 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> at maximum cruising altitude of the aircraft) up to several 100 <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> (for very short line-of-sight photon paths, e.g. in dense clouds; <xref ref-type="bibr" rid="bib1.bibx46" id="altparen.57"/>). For the nadir measurements, the typical SCD detection limit is <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, but depending on the flight altitude and cloud cover and thus the columnar air mass factor, it can be as low as <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.7</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> or as large as <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><title>Retrieval of concentrations (limb) and vertical column densities (nadir)</title>
      <p id="d1e2076">The following section discusses the conversion of the inferred SCDs to mixing ratios (limb measurements) and to total vertical column densities (nadir measurements).</p>
      <p id="d1e2079">The limb-measured slant column densities (SCD<inline-formula><mml:math id="M112" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">limb</mml:mi></mml:msub></mml:math></inline-formula>) are converted into trace gas mixing ratios using the <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> scaling method, as described in detail in <xref ref-type="bibr" rid="bib1.bibx33" id="text.58"/>, <xref ref-type="bibr" rid="bib1.bibx34" id="text.59"/>, <xref ref-type="bibr" rid="bib1.bibx105" id="text.60"/>, <xref ref-type="bibr" rid="bib1.bibx130" id="text.61"/>, and <xref ref-type="bibr" rid="bib1.bibx46" id="text.62"/>. Accordingly, the concentration of a trace gas <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced></mml:mrow></mml:math></inline-formula> at flight altitude <inline-formula><mml:math id="M115" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> is inferred from SCD<inline-formula><mml:math id="M116" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">limb</mml:mi><mml:mo>,</mml:mo><mml:mi>X</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> by comparing the measured optical depth SCD<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">limb</mml:mi><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:math></inline-formula> with the calculated clear-sky extinction <inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msub><mml:mfenced open="[" close="]"><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and taking into account radiative-transfer-based correction factors <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> to quantify the optical characteristics (e.g. aerosol and cloud cover) of the radiative transfer during each single measurement, as follows:
              <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M121" display="block"><mml:mrow><mml:mo>[</mml:mo><mml:mi>X</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi>j</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="normal">SCD</mml:mi><mml:mrow><mml:mi mathvariant="normal">limb</mml:mi><mml:mo>,</mml:mo><mml:mi>X</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="normal">SCD</mml:mi><mml:mrow><mml:mi mathvariant="normal">limb</mml:mi><mml:mo>,</mml:mo><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mo>[</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mo>]</mml:mo><mml:mi>j</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            This approach is justified based on the equivalence theorem in optics <xref ref-type="bibr" rid="bib1.bibx36" id="paren.63"/>, which states that, for a given wavelength, the photon path length distribution and hence the mean photon path lengths are the same for weak absorbers with similar atmospheric distributions. Evidently, this criterion is reasonably well approximated when using <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> as a scaling gas for all trace gases with sources at the ground level and sinks in the troposphere, such as glyoxal. The remaining differences in the profile shapes of the target (<inline-formula><mml:math id="M123" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula>) and scaling gas (<inline-formula><mml:math id="M124" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and their centre wavelengths of absorption are accounted for by the so-called <inline-formula><mml:math id="M125" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> factors. The <inline-formula><mml:math id="M126" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> factors express the fraction of absorption within the line of sight at the measurement altitude relative to the total atmospheric absorption, which may differ slightly for the gas of interest compared to the scaling gas due to their different profile shapes and absorption wavelengths. The <inline-formula><mml:math id="M127" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> factors are simulated using the McArtim radiative transfer model <xref ref-type="bibr" rid="bib1.bibx21" id="paren.64"/>. For the simulation, as a first step, a priori profiles of glyoxal are used based on previous mini-DOAS measurements in similar atmospheric conditions (clean or polluted terrestrial air, remote marine air, etc.) and subsequently iterated until convergence is achieved. In the following, the robustness of this iterative approach is described and tested. As a first step, the radiative transfer (RT) model is run using an a priori glyoxal profile obtained during previous missions and assuming an exponentially decaying profile above the maximum flight altitude. Second, a modelled a priori glyoxal profile is used, which is based on simulations from the global chemical transport model (CTM) MAGRITTE (Model of Atmospheric composition at Global and Regional scales using Inversion Techniques for Trace gas Emissions). This model is used, for example, to calculate air mass factors for the TROPOMI retrieval (e.g. <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx57" id="altparen.65"/>). Here, the simulated MAGRITTE glyoxal a priori profiles are averaged along a research flight track over central Europe on 15 May 2018. Both a priori profiles – simulated and measured – show notable differences in their absolute mixing ratios and in their profile shape (Fig. <xref ref-type="fig" rid="Ch1.F1"/>a and b). In the following, iterations of the radiative transfer simulation are performed for the flight on 15 May 2018 using consecutively resulting profiles from both approaches as new a priori profiles (Fig. <xref ref-type="fig" rid="Ch1.F1"/>a and b). Evidently, even strongly diverging a priori profiles converge well after the first iteration to a common profile constrained by the measured SCDs within the error margins. After four iterations, no notable changes are discernible in the obtained a priori profiles or in the resulting mixing ratios (Fig. <xref ref-type="fig" rid="Ch1.F1"/>c), thus demonstrating the robustness of the iteration with respect to the a priori profile assumptions. This insensitivity of the resulting profiles towards the assumed a priori profile is a direct consequence of the applied scaling method because all a priori profiles of the target gas are evaluated relative to the scaling gas (in this study <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) from which the atmospheric absorption is measured. Without iteration, the scaling method is therefore moderately sensitive to the relative differences in the assumed profile shapes (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b) but not to the absolute concentrations assumed in the a priori profiles. As demonstrated above, this remaining sensitivity can sufficiently be reduced by performing a second iteration of the radiative transfer model when calculating the <inline-formula><mml:math id="M129" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> factors.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e2399">Iterations of different a priori glyoxal profiles in <inline-formula><mml:math id="M130" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-factor calculations, shown here for the HALO flight on 15 May 2018 (CoMet mission). Starting a priori profiles are a mean glyoxal profile inferred from previous mini-DOAS measurements in polluted continental air (<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and an averaged glyoxal profile simulated by the MAGRITTE model (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) for a TROPOMI overpass over Europe at 13:30 UTC on 15 May 2018 <xref ref-type="bibr" rid="bib1.bibx57" id="paren.66"/>. These a priori profiles are used for the first iteration in the <inline-formula><mml:math id="M133" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>-factor calculations. The resulting profiles are then used for the following <inline-formula><mml:math id="M134" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> iterations to obtain the profiles <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, respectively <bold>(a)</bold>. The differences <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the a priori profiles after each iteration step are shown in panel <bold>(b)</bold>. The differences in the resulting mixing ratios from each iteration step (based on the respective <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">α</mml:mi></mml:mrow></mml:math></inline-formula>-factor simulation) are shown in panel <bold>(c)</bold>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1369/2023/acp-23-1369-2023-f01.png"/>

          </fig>

      <p id="d1e2514">For the nadir measurements, the measured slant column densities (SCD<inline-formula><mml:math id="M139" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">nadir</mml:mi></mml:msub></mml:math></inline-formula>) of the trace gas <inline-formula><mml:math id="M140" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> are converted into vertical column densities (VCD<inline-formula><mml:math id="M141" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">X</mml:mi></mml:msub></mml:math></inline-formula>), according to the following:
              <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M142" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="normal">VCD</mml:mi><mml:mrow><mml:mi>X</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">SCD</mml:mi><mml:mrow><mml:mi mathvariant="normal">nadir</mml:mi><mml:mo>,</mml:mo><mml:mi>X</mml:mi><mml:mo>,</mml:mo><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∑</mml:mo><mml:msub><mml:mfenced close="]" open="["><mml:mi>X</mml:mi></mml:mfenced><mml:mi>j</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mo>∑</mml:mo><mml:msub><mml:mfenced close="]" open="["><mml:mi>X</mml:mi></mml:mfenced><mml:mi>j</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            using box air mass factors <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> simulated by the McArtim model for each layer <inline-formula><mml:math id="M144" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> of thickness <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and equal a priori concentrations <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msub><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in each altitude bin <inline-formula><mml:math id="M147" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> as used for the limb measurements.</p>
      <p id="d1e2668">The footprint (nadir) or average atmospheric volume (limb) analysed from each spectrum can be approximated based on the aircraft displacement (vertical and horizontal) during the spectrum integration time and the telescope's rectangular field of view (0.5<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> vertical; 3.15<inline-formula><mml:math id="M149" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> horizontal) and the mean light path length. The latter two processes are considered in the evaluation and respective RT calculations.</p>
      <p id="d1e2689">In the nadir-viewing geometry, for flight altitudes above 8 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in a moderately humid to dry atmosphere, the typical footprint for a signal integration time of 14 <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula> is <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.2</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>. For flights in a moist atmosphere or over the pristine oceans, occasionally up to 150 spectra were co-added (South Atlantic measurements), thus extending the median nadir along-track resolution in extreme cases up to 230 <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. The median nadir along-track resolution over the South Atlantic is 32 <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. While this spectral co-adding may enlarge the footprint, it favours the detection limit, which is helpful for monitoring glyoxal at low VCDs, i.e. far away from distinct sources such as over the open ocean. In the other regions, where less or no spectral co-adding was necessary, the median nadir along-track resolution is 4 <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (Europe, Mediterranean, and East China Sea; tropical and North Atlantic).</p>
</sec>
<sec id="Ch1.S2.SS1.SSS4">
  <label>2.1.4</label><title>Comparison of airborne and spaceborne nadir measurements</title>
      <p id="d1e2762">Quality filters already applied to the TROPOMI L3 data set (see Sects. <xref ref-type="sec" rid="Ch1.S2.SS2"/> and <xref ref-type="sec" rid="Ch1.S3.SS2"/> and <xref ref-type="bibr" rid="bib1.bibx57" id="altparen.67"/>), the different observation geometries of air- and spaceborne instruments, and, finally, the differences in the assumed a priori glyoxal profiles and the radiative transfer modelling may cause differences in the sensitivity of air- and spaceborne instruments when detecting glyoxal at different altitudes <inline-formula><mml:math id="M157" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>. This sensitivity is expressed by the product of the box air mass factors <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the assumed concentration of glyoxal <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mfenced close="]" open="["><mml:mi>X</mml:mi></mml:mfenced><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which expresses the relative contribution of the absorption (or slant column density) of an altitude layer <inline-formula><mml:math id="M160" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> to the total absorption (or slant column density; see Eq. <xref ref-type="disp-formula" rid="Ch1.E3"/> and Fig. <xref ref-type="fig" rid="Ch1.F2"/>). For the intercomparison, the available mini-DOAS data are therefore selected according to the following criteria.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2816">Box air mass factors (<inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; lower <inline-formula><mml:math id="M162" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis of panels <bold>a</bold> and <bold>c</bold>) of two mini-DOAS nadir measurements in the lower <bold>(a, b)</bold> and upper <bold>(c, d)</bold> troposphere for changing surface albedos between 0.1 and 0.5 (colour code). Both simulations were performed for the research flight from Oberpfaffenhofen (Germany) to Sal (Cabo Verde) on 7 August 2018. For the radiative transfer simulations, no clouds but rater aerosol profiles, as described in the text, are assumed (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS1.SSS4"/>). The product of <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the assumed a priori glyoxal concentration <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi>X</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (upper <inline-formula><mml:math id="M165" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis of panels <bold>a</bold> and <bold>c</bold>; black circles) yields the relative contribution of each altitude layer <inline-formula><mml:math id="M166" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> <bold>(b, d)</bold>. Evidently, even airborne nadir measurements at lower altitudes predominantly, but not exclusively, probe the atmosphere below the flight altitude. This causes the necessary restriction to upper tropospheric flight altitudes for the intercomparison of air- and spaceborne measurements, as discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1369/2023/acp-23-1369-2023-f02.png"/>

          </fig>

      <p id="d1e2910">Due to different assumptions for <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the satellite and aircraft retrievals attribute different fractions of the total absorption to each altitude layer <inline-formula><mml:math id="M169" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> (see Eq. <xref ref-type="disp-formula" rid="Ch1.E3"/> and Fig. <xref ref-type="fig" rid="Ch1.F2"/>). In particular, these differences in <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> yield different relative fractions <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>&gt;</mml:mo><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced><mml:mi>j</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the total absorption above the aircraft flight altitude <inline-formula><mml:math id="M173" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F2"/>b and d). For a high-flying aircraft, similar observation geometries of the aircraft and satellite result in a similar sum <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mo>min⁡</mml:mo></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>j</mml:mi><mml:mo>max⁡</mml:mo></mml:msub></mml:mrow></mml:msubsup><mml:msub><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced><mml:mi>j</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and, hence, in a similar detection sensitivity for glyoxal in the nadir direction (even though the products of single-altitude layers <inline-formula><mml:math id="M175" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> may be different). However, for low flight altitudes, the contributions <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mfenced open="[" close="]"><mml:mi>X</mml:mi></mml:mfenced><mml:mi>j</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>B</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are largely different. The latter primarily results from the fact that, for nadir observations, <inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is larger (smaller) for altitudes <inline-formula><mml:math id="M178" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula> smaller (greater) than the aircraft flight altitude <inline-formula><mml:math id="M179" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, compared to those for the satellite, and is less due to differences in the assumed <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mo>[</mml:mo><mml:mi>X</mml:mi><mml:msub><mml:mo>]</mml:mo><mml:mi>j</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Equally, airborne nadir observations from low altitudes tend to be more sensitive regarding the detection of trace gases in the lower atmosphere than those performed from the satellite. Consequently, for an optimal and biased minimised intercomparison between satellite and aircraft nadir observations (which respects the differences in the observation geometry and hence detection sensitivity), nadir observations from a high-flying aircraft need to be preferred over those performed from a low-flying aircraft. Therefore, we restrict the intercomparison of nadir-measured glyoxal to aircraft flight altitudes above 8 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. As a consequence of this altitude restriction, only the data collected during two research flights remain for the intercomparison of the EMeRGe-Asia mission (Figs. <xref ref-type="fig" rid="Ch1.F7"/>a and <xref ref-type="fig" rid="Ch1.F10"/>b).</p>
      <p id="d1e3130">As the TROPOMI L3 data are filtered for observations with solar zenith angles <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M183" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx57" id="paren.68"/>, the same filter is applied to the mini-DOAS data. This mostly affects the measurements over the South Atlantic as a consequence of the high geographic latitude and, consequently, low sun position in this region. Furthermore, provided that the satellite and the aircraft observations have a similarly sized footprint (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS1.SSS3"/>) and technical outline (e.g. FOV and photon-detection sensitivity) due to the largely different cruising velocities (7500 <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for Sentinel-5P versus 200 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the aircraft), the aircraft may observe a specific scene about a factor of 37.5 times longer than the satellite; hence, it integrates over, respectively, more photons. Given that the detection limit of both instruments is determined by the photon shot noise, the aircraft measurements are about 6 times more sensitive for the detection of glyoxal in individual spectra than those of the satellite. Accordingly, to obtain the same limit for glyoxal detection from both instruments, i.e. in order to reduce the noise in the satellite measurements, the TROPOMI glyoxal VCDs are averaged over a 0.25<inline-formula><mml:math id="M186" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M187" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M188" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid (25 individual measurements). Each grid box is centred around the individual footprint of a single mini-DOAS measurement (Fig. <xref ref-type="fig" rid="Ch1.F8"/>b). Even though the footprints of TROPOMI and mini-DOAS geographically overlap well and only observations from the same day are chosen, the exact timing of the measurements may differ significantly, which has to be taken into account when comparing specific emission plumes. Finally, all satellite-detected VCDs are strictly filtered for potential cloud and aerosol interferences <xref ref-type="bibr" rid="bib1.bibx57" id="paren.69"/>. Since, for the airborne measurements, an equivalent filter is neither necessary (for the limb measurements) nor possible (for the nadir measurements), respectively, a larger all-sky albedo of 0.3 and climatological aerosol profiles based on data from SAGE III-ISS (Stratospheric Aerosol and Gas Experiment III on the International Space Station; <xref ref-type="bibr" rid="bib1.bibx74" id="altparen.70"/>) and LIVAS <xref ref-type="bibr" rid="bib1.bibx4" id="paren.71"/> are assumed for the airborne radiative transfer simulations.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>TROPOspheric Monitoring Instrument (TROPOMI)</title>
      <p id="d1e3237">The nadir-viewing TROPOspheric Monitoring Instrument (TROPOMI) was launched on board the Copernicus Sentinel-5 Precursor satellite platform on 13 October 2017 into an early afternoon sun-synchronous orbit, with a local Equator crossing time of 13:30 <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">LT</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx116" id="paren.72"/>. It measures solar irradiance and earthshine radiance spectra in the ultraviolet, visible, and near- and shortwave infrared spectral ranges with a spectral resolution of about 0.5 <inline-formula><mml:math id="M190" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> (0.25 <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula> in the shortwave infrared). TROPOMI is a push broom instrument with a large swath of about 2600 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, which provides daily global coverage of the Earth's atmosphere with an unprecedented spatial resolution (up to 3.5 <inline-formula><mml:math id="M193" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 5.5 <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>). The measurements not only allow the retrieval of vertical column densities (i.e. vertically integrated concentrations) for a series of key trace gases but also derive crucial information on clouds and aerosols. Since the beginning of the mission, TROPOMI has therefore provided essential information for air quality and climate applications, in particular via the distribution of operational products for ozone (<inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), nitrogen dioxide (<inline-formula><mml:math id="M196" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), carbon monoxide (<inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula>), sulfur dioxide (<inline-formula><mml:math id="M198" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), methane (<inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and formaldehyde (<inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>). In addition, TROPOMI measurements can be exploited to infer information on other species, including glyoxal, as recently demonstrated by <xref ref-type="bibr" rid="bib1.bibx57" id="text.73"/>. More details on the satellite glyoxal retrievals are given in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>ECHAM/MESSy Atmospheric Chemistry (EMAC) model</title>
      <p id="d1e3373">The ECHAM/MESSy Atmospheric Chemistry (EMAC) model is a numerical chemistry and climate simulation system that includes submodels describing tropospheric and middle atmospheric processes and their interaction with oceans, land, and human influences <xref ref-type="bibr" rid="bib1.bibx39" id="paren.74"/>. It uses the second version of the Modular Earth Submodel System (MESSy2) to link multi-institutional computer codes. The core atmospheric model is the fifth-generation European Centre Hamburg general circulation model (ECHAM5; <xref ref-type="bibr" rid="bib1.bibx90" id="altparen.75"/>).</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Measurements and simulations</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>The mini-DOAS measurements</title>
      <p id="d1e3399">This study presents airborne glyoxal measurements from eight different research missions performed in the period between fall 2014 and fall 2019. In total, 72 research flights were performed with the German research aircraft HALO operated by the Deutsches Zentrum für Luft- und Raumfahrt (DLR) in Oberpfaffenhofen, Germany. The scientific flights covered a wide range of geographic areas reaching from the southern tip of South America and western Antarctica, over the Amazon Rainforest, the tropical and North Atlantic, and Europe to the East China Sea, Taiwan, and the southern Japanese islands (Fig. <xref ref-type="fig" rid="Ch1.F3"/>). The study combines nadir and limb measurements of glyoxal performed during the following scientific missions: (1) ACRIDICON-CHUVA (Aerosol, Cloud, Precipitation, and Radiation Interactions and Dynamics of Convective Cloud Systems – Cloud Processes of the Main Precipitation Systems in Brazil) over the Amazon in fall 2014 <xref ref-type="bibr" rid="bib1.bibx128" id="paren.76"/>, (2) Oxidation Mechanism Observations (OMO) over the Mediterranean and Arabian seas and Indian Ocean in summer 2015 <xref ref-type="bibr" rid="bib1.bibx55" id="paren.77"/>, (3) the Effect of Megacities on the Transport and Transformation of Pollutants on the Regional to Global Scales in Europe (EMeRGe-EU) in summer 2017 <xref ref-type="bibr" rid="bib1.bibx6" id="paren.78"/>, (4) Wave-driven ISentropic Exchange (WISE) over the North Atlantic and Europe in fall 2017, (5) the Effect of Megacities on the Transport and Transformation of Pollutants on the Regional to Global Scales in Asia (EMeRGe-Asia) in early spring 2018, (6) the Carbon Dioxide and Methane Mission (CoMet) over Europe in late spring 2018 <xref ref-type="bibr" rid="bib1.bibx24" id="paren.79"/>, (7) Chemistry of the Atmosphere: Field Experiment in Africa (CAFE-Africa) over the tropical Atlantic and West Africa in summer 2018, and (8) Transport and Composition of the Southern Hemisphere UTLS (SouthTRAC; where UTLS is the upper troposphere and lower stratosphere) in Patagonia/western Antarctica in fall 2019 <xref ref-type="bibr" rid="bib1.bibx86" id="paren.80"/>.  Detailed descriptions of each mission, the deployed instruments, and research objectives can be found in the respective mission publications.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e3422">The different geographical regions and the flight tracks covered during the eight missions. For simplicity, the missions are numbered according to their chronological order as follows: ACRIDICON-CHUVA (1), OMO (2), EMeRGe-EU (3), WISE (4), EMeRGe-Asia (5), CoMet (6), CAFE-Africa (7), and SouthTRAC (8). The operational bases for the individual missions were Manaus (Brazil) for ACRIDICON-CHUVA, Paphos (Cyprus) for OMO, Oberpfaffenhofen (Germany) for EMeRGe-Europe and CoMet, Shannon (Ireland) for WISE, Tainan (Taiwan) for EMeRGe-Asia, and Rio Grande (Argentina) for SouthTRAC. Only flight sections with mini-DOAS measurements are shown.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1369/2023/acp-23-1369-2023-f03.png"/>

        </fig>

      <p id="d1e3431">ACRIDICON-CHUVA (main operation base in Manaus, Brazil), OMO (operation base in Paphos, Cyprus), and EMeRGe-EU and CoMet (both operated from the home base in Oberpfaffenhofen, Germany) were predominantly conducted over land and the adjacent coastal regions. Most research flights from the other missions focused on remote marine measurements over the South Pacific and South Atlantic/Weddell Sea (SouthTRAC; operation base in Rio Grande, Argentina), the tropical Atlantic (CAFE-Africa; operation base in Sal, Cabo Verde), the North Atlantic (WISE; operation base in Shannon, Ireland), and the East China Sea (EMeRGe-Asia; operation base in Tainan, Taiwan; Fig. <xref ref-type="fig" rid="Ch1.F3"/>).</p>
      <p id="d1e3437">During the eight research missions, air masses of different origins and compositions, and thus largely different glyoxal sources and concentrations, were probed. This included (1) pristine marine air, (2) pristine continental air, (3) biomass-burning-affected air of different ages, and (4) air affected by fresh or aged anthropogenic emissions.
<list list-type="order"><list-item>
      <p id="d1e3442">Pristine marine air was primarily probed over the North, tropical, and South Atlantic during the missions of WISE in 2017, CAFE-Africa in 2018, and SouthTRAC in 2019. During all three missions, long flight sections took place in the upper troposphere over the remote oceans, with occasional dives into the marine boundary layer and to the airports of Shannon (Ireland), Sal (Cabo Verde), or Rio Grande (Argentina). Combined, the three missions covered the Atlantic from Iceland and Scandinavia in the north, over the Azores and the equatorial latitudes, down to the South Atlantic, southeastern Pacific, and the Weddell Sea around the Antarctic Peninsula.</p></list-item><list-item>
      <p id="d1e3446">The most pristine terrestrial air masses were found over Patagonia, southern Argentina, and northern Antarctica during the SouthTRAC mission in austral spring 2019, with vertical profiling mostly performed during landward ascents from and descents into the Rio Grande and Buenos Aires airports (Argentina).</p></list-item><list-item>
      <p id="d1e3450">Air masses affected by biogenic emissions and biomass burning were intensively probed over the Amazon during the ACRIDICON-CHUVA mission in fall 2014, and the measurements of formaldehyde, glyoxal, and <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>*</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> have been discussed in detail in <xref ref-type="bibr" rid="bib1.bibx46" id="text.81"/>. Additionally, aged biomass burning plumes advected from continental Africa and Brazil were detected during several flights of the CAFE-Africa mission over the tropical Atlantic and during several transfer flights of the SouthTRAC mission from Europe along the Brazilian coastline towards Patagonia (Argentina). On 12 November 2019, biomass-burning-affected air masses from the Australian bushfires in austral spring and summer 2019 were detected over the Drake Passage around 57<inline-formula><mml:math id="M202" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and 67<inline-formula><mml:math id="M203" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W in the upper troposphere (e.g. <xref ref-type="bibr" rid="bib1.bibx45" id="altparen.82"/>).</p></list-item><list-item>
      <p id="d1e3501">Air masses affected by recent anthropogenic emissions were probed over the European continent and its northern islands (mostly Ireland and Great Britain) and over the adjacent marine regions (North, Baltic, and Mediterranean seas) during the missions of EMeRGe-EU in summer 2017, WISE in fall 2017, CoMet in spring 2018, and over Taiwan and the East China Sea during EMeRGe-Asia in spring 2018. The research flights targeted the emissions of major European and Asian cities, e.g. London, Paris, Rome, Marseille, Barcelona, Manila, and Osaka, as well as emissions from industrial areas (e.g. the Ruhr valley and the Upper Silesian Coal Basin). During the EMeRGe missions, the research flights focused on fresh pollution plumes in the planetary and marine boundary layer, whereas the CoMet flights provided measurements in the free and upper troposphere over the different cities, Scandinavia, and the Baltic and the Mediterranean seas. In addition to these detailed continental measurements, observations of the northern European coastal regions were completed during the WISE mission, including Ireland, Great Britain, and Iceland, with a special focus on fresh anthropogenic emissions over the Irish Sea and the North Channel.</p></list-item><list-item>
      <p id="d1e3505">Air masses affected by aged pollution were probed in all regions, especially along the coast of the Mediterranean Sea, Egypt, the Arabian Peninsula, and the Arabian Sea during the OMO mission in summer 2015 <xref ref-type="bibr" rid="bib1.bibx55" id="paren.83"/>, as well as in the outflow of mainland China, Japan, Korea, and the Philippines over the East China Sea, during EMeRGe-Asia, and during several flights along the Brazilian coastline.</p></list-item></list></p>
      <p id="d1e3511">During OMO, measurements were not only predominantly conducted in the upper troposphere but also included profiling into the boundary layer, i.e. over Cyprus and Bahrain. Due to operational reasons, during EMeRGe-Asia profiling from the free troposphere into the boundary layer could only be performed over Taiwan, south of Osaka (Japan), and Manila (Philippines), whereas free and upper tropospheric air was probed during flight sections between Taiwan and south Japan.</p>
      <p id="d1e3514">Glyoxal measurements are sometimes only available for a portion of the total flight time. This is mostly a result of (1) flight sections of recorded spectra with unfavourable sunlight conditions causing an oversaturation of the charge-coupled device (CCD) detector (e.g. when flying in and adjacent to bright clouds), (2) research flights during the night (e.g. during SouthTRAC), or (3) spectrometer temperatures being above 3 <inline-formula><mml:math id="M204" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C preventing a stable spectral imaging (e.g. during EMeRGe-Asia).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>TROPOMI measurements</title>
      <p id="d1e3534">Glyoxal tropospheric vertical columns can be retrieved from the satellite TROPOMI observations by exploiting its absorption bands in the visible spectral range using a DOAS approach. Here we use the TROPOMI glyoxal product recently developed by BIRA-IASB (Royal Belgian Institute for Space Aeronomy; <xref ref-type="bibr" rid="bib1.bibx57" id="altparen.84"/>). The algorithm consists of three consecutive steps.
<list list-type="order"><list-item>
      <p id="d1e3542">Glyoxal slant column densities are derived from a DOAS spectral fit of the measured optical depths performed in the window 435–460 <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>. In addition to glyoxal, absorption cross sections are included to account for spectral signatures from ozone, <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, water vapour, liquid water, inelastic scattering, and scene brightness heterogeneity. The glyoxal optical depth is generally weak, which makes the product noisy and sensitive to spectral interferences. The level of noise can be reduced by averaging observations in space and/or time. An empirical correction is also applied to the glyoxal slant columns in case of extreme <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> absorption to reduce the impact of the resulting misfit. As described in detail in <xref ref-type="bibr" rid="bib1.bibx57" id="text.85"/>, this correction is based on a linear regression fit obtained by a representative sensitivity test for glyoxal measurements at <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> SCDs larger than <inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">16</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M211" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.</p></list-item><list-item>
      <p id="d1e3633">The slant column densities are converted into vertical column densities via air mass factor, which are computed by combining weighting functions and a priori glyoxal profile shapes (<xref ref-type="bibr" rid="bib1.bibx79" id="altparen.86"/>). The a priori profiles are provided over land by the CTM MAGRITTE, an update of the IMAGES model (<xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx8" id="altparen.87"/>), while a single profile measured in 2012 over the Pacific Ocean (<xref ref-type="bibr" rid="bib1.bibx121" id="altparen.88"/>) is used over oceanic regions. The impact of clouds is neglected, and a stringent filter is applied to reject cloud-contaminated scenes.</p></list-item><list-item>
      <p id="d1e3646">A background correction based on measurements over the remote Pacific Ocean is applied and aims at reducing the presence of biases originating from interferences with spectral signatures from other absorbers or calibration limitations. For example, this procedure is designed to reduce an identified row-dependent bias. Owing to the empirical nature of the correction, some remnants of this bias may nevertheless still be visible when maintaining the daily time resolution. The quality of this TROPOMI glyoxal product has been assessed in <xref ref-type="bibr" rid="bib1.bibx57" id="text.89"/>, based on comparisons with other glyoxal satellite data sets produced with a similar algorithm and with a series of multi-axis differential optical absorption spectroscopy (MAX-DOAS) data sets. A high level of consistency is found between the satellite data sets (within 20 %), and high correlation coefficients are found between TROPOMI and MAX-DOAS data sets, indicating that the glyoxal variability observed from space and ground level agree well. Enhanced glyoxal columns are also observed by TROPOMI over equatorial oceans. The respective contributions of physical processes and spectral interferences to those elevated columns have remained unclear for years. Additional comparisons with independent measurements, such as those presented in this study, are therefore crucial to provide insight into this issue.</p></list-item></list></p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>EMAC simulations</title>
      <p id="d1e3660">In the present study, EMAC (ECHAM5 version 5.3.02; MESSy version 2.55.0) is used at T63L90MA resolution, i.e. with a spherical truncation of T63 (corresponding to a quadratic Gaussian grid of approximately 1.875<inline-formula><mml:math id="M212" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> by 1.875<inline-formula><mml:math id="M213" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in latitude and longitude) with 90 vertical hybrid pressure levels up to 0.01 <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>. In order to reproduce the actual day-to-day meteorology in the troposphere, the dynamics have been weakly nudged <xref ref-type="bibr" rid="bib1.bibx38" id="paren.90"/> towards the European Centre for Medium-Range Weather Forecasts (ECMWF) Reanalysis v5 (ERA5; <xref ref-type="bibr" rid="bib1.bibx30" id="altparen.91"/>) data.</p>
      <p id="d1e3695">Atmospheric gas-phase chemistry is calculated by employing the Module Efficiently Calculating the Chemistry of the Atmosphere (MECCA; <xref ref-type="bibr" rid="bib1.bibx97" id="altparen.92"/>) using the gas-phase Mainz Organic Mechanism (MOM) recently evaluated by <xref ref-type="bibr" rid="bib1.bibx85" id="text.93"/>. MOM contains an extensive oxidation scheme for isoprene <xref ref-type="bibr" rid="bib1.bibx108 bib1.bibx109 bib1.bibx76 bib1.bibx77" id="paren.94"/>, monoterpenes <xref ref-type="bibr" rid="bib1.bibx29" id="paren.95"/>, and aromatics <xref ref-type="bibr" rid="bib1.bibx13" id="paren.96"/>. In addition, comprehensive reaction schemes are considered for the modelling of the chemistry of NO<inline-formula><mml:math id="M215" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, HO<inline-formula><mml:math id="M216" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, <inline-formula><mml:math id="M217" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and anthropogenic linear hydrocarbons. VOCs are oxidised by <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, whereas <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">RO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> reacts with <inline-formula><mml:math id="M222" display="inline"><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:math></inline-formula>, NO<inline-formula><mml:math id="M223" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>, and <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and undergoes self- and cross-reactions. All in all, MOM considers 43 primarily emitted VOCs and represents more than 600 species and 1600 reactions <xref ref-type="bibr" rid="bib1.bibx97" id="paren.97"/>.</p>
      <p id="d1e3819">The SCAVenging submodel (SCAV; <xref ref-type="bibr" rid="bib1.bibx113" id="altparen.98"/>) is used to simulate the removal of trace gases and aerosol particles by clouds and precipitation. SCAV calculates the transfer of species into and out of rain and cloud droplets using Henry's law in equilibrium, acid dissociation equilibria, oxidation–reduction reactions, heterogeneous reactions on droplet surfaces, and aqueous-phase photolysis reactions. In its basic set-up, SCAV is used to calculate EMAC's standard aqueous-phase mechanism,  including the representation of more than 150 reactions, and even includes a simplified degradation scheme of methane oxidation products <xref ref-type="bibr" rid="bib1.bibx114" id="paren.99"/>. The aqueous-phase representation of formaldehyde (<inline-formula><mml:math id="M225" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) is updated following <xref ref-type="bibr" rid="bib1.bibx25" id="text.100"/>.</p>
      <p id="d1e3844">Anthropogenic emissions are based on the Emissions Database for Global Atmospheric Research (EDGAR, v4.3.2; <xref ref-type="bibr" rid="bib1.bibx20" id="altparen.101"/>) and vertically distributed following <xref ref-type="bibr" rid="bib1.bibx84" id="text.102"/>. The Model of Emissions of Gases and Aerosols from Nature (MEGAN; <xref ref-type="bibr" rid="bib1.bibx28" id="altparen.103"/>) is used to model biogenic VOC emissions. Global isoprene emissions are scaled to the best estimate of <xref ref-type="bibr" rid="bib1.bibx99" id="text.104"/>. Biomass burning emission fluxes are calculated using the MESSy submodel of BIOBURN, which calculates these fluxes based on biomass burning emission factors and dry matter combustion rates. For the latter, Global Fire Assimilation System (GFAS) data are used, which are based on satellite observations of fire radiative power from the Moderate Resolution Imaging Spectroradiometer (MODIS) satellite instruments <xref ref-type="bibr" rid="bib1.bibx42" id="paren.105"/>. The biomass burning emission factors for VOCs are based on <xref ref-type="bibr" rid="bib1.bibx1" id="text.106"/>, excluding direct glyoxal emissions. The MESSy submodel of AIRSEA is used to represent the air–sea exchange of isoprene and methanol, following <xref ref-type="bibr" rid="bib1.bibx83" id="text.107"/>.</p>
      <p id="d1e3870">The applied EMAC modelling set-up is representable for recent studies that have focused on a detailed representation of VOCs (e.g. by using MOM to represent gas-phase chemistry; <xref ref-type="bibr" rid="bib1.bibx77 bib1.bibx91 bib1.bibx110 bib1.bibx25 bib1.bibx92 bib1.bibx85" id="altparen.108"/>). Using MOM in EMAC at a resolution of T63L90MA comes at a high computational demand. Therefore, we perform an EMAC simulation focusing on the years 2017, 2018, and 2019, which covers most airborne missions, except ACRIDICON-CHUVA in 2014 and OMO in 2015. For these missions, simulation results of the year 2017 are used for the climatological comparison with observational data. All simulations were performed at the Jülich Supercomputing Centre using the Jülich Wizard for European Leadership Science (JUWELS) cluster <xref ref-type="bibr" rid="bib1.bibx49" id="paren.109"/>.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Observations</title>
      <p id="d1e3888">Based on the data collected during all research missions, atmospheric glyoxal profiles are inferred in (1) recently polluted air both over continents (Europe, South America, and Southeast Asia) and adjacent marine regions (e.g. Mediterranean Sea, Irish Sea, and East/South China Sea), (2) biomass-burning-affected air (mostly off the coast of Africa and South America), and (3) pristine marine air (South, tropical, and North Atlantic). The following section first discusses the inferred vertical profiles of glyoxal and compares them to previous measurements before the nadir VCDs and integrated profiles are intercompared with collocated TROPOMI glyoxal VCD measurements. Finally, the airborne measurements of glyoxal concentrations and VCDs are compared to respective simulations from the EMAC model.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Glyoxal profiles</title>
      <p id="d1e3898">Figure <xref ref-type="fig" rid="Ch1.F4"/> provides an overview of all glyoxal profiles inferred for the eight investigated regions. This includes glyoxal profiles measured over Patagonia and the Amazon Rainforest (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a), the East China Sea and Taiwan (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b), the European continent and its northern islands (Fig. <xref ref-type="fig" rid="Ch1.F4"/>c), the South Atlantic (Fig. <xref ref-type="fig" rid="Ch1.F4"/>d), the tropical Atlantic (Fig. <xref ref-type="fig" rid="Ch1.F4"/>e), the North Atlantic (Fig. <xref ref-type="fig" rid="Ch1.F4"/>f), and the Mediterranean Sea  (Fig. <xref ref-type="fig" rid="Ch1.F4"/>g). The corresponding flight tracks as a function of altitude are shown in Fig. <xref ref-type="fig" rid="Ch1.F5"/>a, d, g, j, and m, together with the along-track inferred glyoxal mixing ratios (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b, e, h, k, and n) and glyoxal VCDs (Fig. <xref ref-type="fig" rid="Ch1.F4"/>c, f, i, l, and o).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3926">Vertical profiles of glyoxal in the different regions, namely the South American continent in fall 2014 and austral spring in 2019 <bold>(a)</bold>, Taiwan and the East China Sea in spring 2018 <bold>(b)</bold>, the European continent in summer and fall 2017 and 2018 <bold>(c)</bold>, the South Atlantic in austral spring 2019 <bold>(d)</bold>, the tropical Atlantic and around the Cabo Verde islands in summer 2018 and austral spring 2019 <bold>(e)</bold>, the North Atlantic and Irish Sea in fall 2017 <bold>(f)</bold>, and the Mediterranean Sea, English Channel, and North Sea in summer 2015, 2017, and 2018 <bold>(g)</bold>. The various marine environments are indicated in blue, terrestrial in green, and rainforest in yellow, while perturbations due to biomass burning (BB) plumes are indicated in brown and city plumes in grey. The numbers denote encounters with BB plumes and the Roman numerals with plumes of anthropogenic emissions (mostly city plumes). The three largest glyoxal plumes observed are plume 1.2 <bold>(e)</bold>, with up to 3192 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>, plume III, with 2970 <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(f)</bold>, and plumes IV and V, with 845 and 774 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>, respectively <bold>(g)</bold>. All four plumes are not shown in their full scale for better comparability with the other profiles. For better visibility of the different profile shapes, occasional negative measurements are not shown (compare with Fig. <xref ref-type="fig" rid="Ch1.F11"/>).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1369/2023/acp-23-1369-2023-f04.png"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3995">Flight trajectories, measured glyoxal mixing ratios, and VCDs are displayed in the top, middle, and bottom rows, respectively, over South America <bold>(a–c)</bold>, the tropical Atlantic <bold>(d–f)</bold>, the North Atlantic <bold>(g–i)</bold>, continental Europe <bold>(j–l)</bold>, and Southeast Asia <bold>(m–o)</bold>. Note the logarithmic colour scale in the two lower rows of the panels.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1369/2023/acp-23-1369-2023-f05.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e4023">Observed median, median absolute deviation, and maximum (in parentheses) glyoxal mixing ratios (ppt) as a function of different geographic regions, air mass types, and altitude ranges. If available, chemical markers are used for the attribution of the air masses to the different regimes. Polluted air masses are differentiated into fresh or aged biomass burning (<inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>BB-fresh/aged</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">BB</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, in cases where the plume age is not known), anthropogenic pollution (<inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi mathvariant="normal">anthr</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>), and mixed pollution (<inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">mix</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). Further categories consist of air masses rich in biogenic volatile organic compound (bVOC) emissions (labelled “Rainforest”) and pristine air.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Region</oasis:entry>
         <oasis:entry colname="col2">Air mass type</oasis:entry>
         <oasis:entry rowsep="1" namest="col3" nameend="col5" align="center">Glyoxal (ppt) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">Lower</oasis:entry>
         <oasis:entry colname="col4">Free</oasis:entry>
         <oasis:entry colname="col5">Upper</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">troposphere</oasis:entry>
         <oasis:entry colname="col4">troposphere</oasis:entry>
         <oasis:entry colname="col5">troposphere</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">0–3 km</oasis:entry>
         <oasis:entry colname="col4">3–8 km</oasis:entry>
         <oasis:entry colname="col5">8–15 km</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">South Atlantic</oasis:entry>
         <oasis:entry colname="col2">Pristine</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> (139)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> (84)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> (36)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>BB-aged</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:mn mathvariant="normal">33</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> (45)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mn mathvariant="normal">31</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> (187)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tropical Atlantic</oasis:entry>
         <oasis:entry colname="col2">Pristine and <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>BB-aged</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mn mathvariant="normal">44</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:math></inline-formula> (382)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:mn mathvariant="normal">13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:math></inline-formula> (185)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> (246)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M243" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>BB-aged</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:mn mathvariant="normal">58</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> (94)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mn mathvariant="normal">41</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">13</mml:mn></mml:mrow></mml:math></inline-formula> (168)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> (3192)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">North Atlantic</oasis:entry>
         <oasis:entry colname="col2">Pristine</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mn mathvariant="normal">19</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> (144)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mn mathvariant="normal">13</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> (51)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> (191)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi mathvariant="normal">anthr</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mn mathvariant="normal">53</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">54</mml:mn></mml:mrow></mml:math></inline-formula> (2970)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Mediterranean Sea</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">mix</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mn mathvariant="normal">279</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">114</mml:mn></mml:mrow></mml:math></inline-formula> (845)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> (309)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> (87)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>BB-aged</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mn mathvariant="normal">126</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> (147)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi mathvariant="normal">anthr</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:mn mathvariant="normal">182</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">103</mml:mn></mml:mrow></mml:math></inline-formula> (570)</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">South America</oasis:entry>
         <oasis:entry colname="col2">Pristine</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mn mathvariant="normal">23</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> (223)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mn mathvariant="normal">24</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> (204)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> (119)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>BB-aged</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mn mathvariant="normal">96</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> (102)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></inline-formula> (311)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Rainforest</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mn mathvariant="normal">87</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> (476)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mn mathvariant="normal">36</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:math></inline-formula> (593)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> (33)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">East China Sea</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">mix</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mn mathvariant="normal">75</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">42</mml:mn></mml:mrow></mml:math></inline-formula> (323)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mn mathvariant="normal">11</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> (340)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> (418)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mtext>BB-aged</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:mn mathvariant="normal">52</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">21</mml:mn></mml:mrow></mml:math></inline-formula> (301)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M275" display="inline"><mml:mrow><mml:mn mathvariant="normal">29</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> (109)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:mn mathvariant="normal">6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> (234)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi mathvariant="normal">anthr</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:mn mathvariant="normal">77</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">48</mml:mn></mml:mrow></mml:math></inline-formula> (299)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M279" display="inline"><mml:mrow><mml:mn mathvariant="normal">15</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11</mml:mn></mml:mrow></mml:math></inline-formula> (474)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Continental Europe</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">mix</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M281" display="inline"><mml:mrow><mml:mn mathvariant="normal">51</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">24</mml:mn></mml:mrow></mml:math></inline-formula> (580)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:mn mathvariant="normal">14</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> (441)</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M283" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> (493)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">BB</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mn mathvariant="normal">12</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (12)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mrow><mml:mi mathvariant="normal">anthr</mml:mi><mml:mo>.</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:mn mathvariant="normal">399</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">67</mml:mn></mml:mrow></mml:math></inline-formula> (547)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mn mathvariant="normal">204</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">74</mml:mn></mml:mrow></mml:math></inline-formula> (277)</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d1e5060">As can be seen in Fig. <xref ref-type="fig" rid="Ch1.F5"/>, lower altitudes were mostly probed in the vicinity of potential emission sources (e.g. large population centres and biomass burning events), whereas the remote oceans were predominantly probed from the upper troposphere (Fig. <xref ref-type="fig" rid="Ch1.F5"/> and Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>). This sampling was motivated by (1) the mission objectives, which often differed from those necessary for in-depth glyoxal monitoring, (2) flight track restrictions, which prohibited some of the intended soundings (e.g. over the remote South Atlantic), (3) the required aircraft tracks with narrow curves near airports, which prevented a reliable limb sounding, and (4) instrument malfunctions. Consequently, the marine observations in the lower troposphere over the South and tropical Atlantic and over the Mediterranean Sea contain a larger fraction of coastal rather than remote ocean soundings. Also, the vertical soundings over the Mediterranean Sea and North Atlantic were mostly performed near larger pollution sources (e.g. Marseille, Barcelona, and Shannon) rather than over the remote sea, leading to a larger fraction of pollution-affected observations in the planetary boundary layer compared to higher altitudes. However, this bias is expected to be small for vertical soundings in regions of widely polluted air (e.g. over polluted continental areas) and the East China Sea, where vertical profiles were also inferred over the remote ocean.</p>
      <p id="d1e5069">In spite of these observation-related limitations, the glyoxal profiles provide valuable information on the background of glyoxal in various environments around the globe, including marine (Fig. <xref ref-type="fig" rid="Ch1.F4"/>; blue colour) and terrestrial regions (Fig. <xref ref-type="fig" rid="Ch1.F4"/>; green colour) and the Amazon Rainforest (Fig. <xref ref-type="fig" rid="Ch1.F4"/>; yellow colour), as well as perturbations due to biomass burning (BB) plumes (Fig. <xref ref-type="fig" rid="Ch1.F4"/>; brown colour) and city plumes (Fig. <xref ref-type="fig" rid="Ch1.F4"/>; grey colour).</p>
      <p id="d1e5082">The attribution of the different air masses to the respective emission types is based on markers of typical chemicals emitted by anthropogenic activities and biomass burning. For the EMeRGe-EU and EMeRGe-Asia missions, benzene (<inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), isoprene (<inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">8</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and acetonitrile (<inline-formula><mml:math id="M291" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">CN</mml:mi></mml:mrow></mml:math></inline-formula>) are used to detect and differentiate between anthropogenic pollution and biomass burning plumes <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx51" id="paren.110"/>. Biomass burning plumes are further identified based on simultaneous measurements of <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx106" id="paren.111"/> and black carbon <xref ref-type="bibr" rid="bib1.bibx31" id="paren.112"/> during CAFE-Africa and of <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx52" id="paren.113"/>, peroxyacetyl nitrate (PAN), ethane (<inline-formula><mml:math id="M294" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), formic acid (<inline-formula><mml:math id="M295" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HCOOH</mml:mi></mml:mrow></mml:math></inline-formula>), methanol (<inline-formula><mml:math id="M296" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mi mathvariant="normal">OH</mml:mi></mml:mrow></mml:math></inline-formula>), ethylene (<inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx40" id="paren.114"/>, and acetylene (<inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">C</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (Sören Johansson, personal communication, February 2022) during the SouthTRAC mission and by visual inspection and air mass back-trajectory calculations for the ACRIDICON-CHUVA mission <xref ref-type="bibr" rid="bib1.bibx46" id="paren.115"/>.</p>
      <p id="d1e5235">Evidently, not all of the glyoxal observations can unambiguously be assigned to one of the four encountered air mass types (pristine, biogenic, polluted, or biomass burning affected) as described above, since either no markers for the different regimes were measured during individual flights or entire missions (e.g. CoMet) or a mixture of polluted air masses from different sources was probed, e.g. over continental Europe, the Mediterranean Sea, Taiwan, and the East China Sea <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx6" id="paren.116"/>.</p>
      <p id="d1e5241">Table <xref ref-type="table" rid="Ch1.T3"/> provides an overview of glyoxal mixing ratios (median, median absolute deviation, and maximum) inferred in the distinctive regimes in the lower, middle, and upper troposphere in the different global regions. As expected, most glyoxal is observed in the lower and middle troposphere over Europe, the Mediterranean Sea, and eastern Asia, and the smallest concentrations are found over pristine marine (South Atlantic) and terrestrial regions (Patagonia). In the upper troposphere, glyoxal mixing ratios are generally very small (a few ppt) in all regions, if not affected by biomass burning or other emission plumes.</p>
      <p id="d1e5247">Overall, the comparison of our glyoxal measurements with previous findings from varying altitudes, regions, and seasons around the globe shows a reasonable good agreement.</p>
      <p id="d1e5250"><list list-type="bullet">
            <list-item>

      <p id="d1e5255"><italic>Pristine marine air masses.</italic> These were mostly probed over the South Atlantic, with median mixing ratios in the lower, middle, and free troposphere of 10, 3, and 3 <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>, respectively (Figs. <xref ref-type="fig" rid="Ch1.F4"/>d and <xref ref-type="fig" rid="Ch1.F5"/>a–c). Over the South Atlantic, glyoxal mixing ratios larger than 100 <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> are exclusively observed in aged biomass burning plumes or near the South American coastline below 3 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude, where the enhancements very likely resulted from the respective continental outflow of glyoxal and its precursors. Comparable glyoxal mixing ratios of 19 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> (median) are observed in the planetary boundary layer over the North Atlantic, with slight glyoxal enhancements predominantly observed during ascents and descents into the Shannon airport (Ireland; Fig. <xref ref-type="fig" rid="Ch1.F5"/>g–i). Also, in the middle and free troposphere, the range of observed glyoxal mixing ratios above the pristine South and North Atlantic compares well if it not affected by specific emission events (biomass burning for the South Atlantic and mostly anthropogenic emissions for the North Atlantic; see Fig. <xref ref-type="fig" rid="Ch1.F4"/>d and f). Glyoxal observations in the remote marine free troposphere and in particular in the free troposphere over the North Atlantic are still sparse and thus deserve further investigations.</p>

      <p id="d1e5301">In the pristine marine boundary layer, our glyoxal measurements compare well with observations by <xref ref-type="bibr" rid="bib1.bibx67" id="text.117"/>, who found average glyoxal mixing ratios of typically 25 <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> (upper limit 40 <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>), based on 10 oceanic cruises over the open oceans in different parts of the world. For the South Pacific boundary layer, <xref ref-type="bibr" rid="bib1.bibx53" id="text.118"/> reported glyoxal mixing ratios ranging from 7 to 23 <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>, which is slightly smaller than our median observation in the boundary layer over the tropical Atlantic of 44 <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>.</p>

      <p id="d1e5343">In fact, compared to the measurements in pristine marine air (e.g. over the South Atlantic), glyoxal over the tropical Atlantic below 3 <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> is found to be, on average, 4 times larger (Figs. <xref ref-type="fig" rid="Ch1.F4"/>e and <xref ref-type="fig" rid="Ch1.F5"/>d–f). These observations of moderately elevated glyoxal in the marine lower troposphere in the tropics support previous findings of elevated glyoxal elsewhere in the remote marine tropics, e.g. in the lower atmosphere over the eastern Pacific <xref ref-type="bibr" rid="bib1.bibx100 bib1.bibx121" id="paren.119"/>.</p>
            </list-item>
            <list-item>

      <p id="d1e5364"><italic>Pristine terrestrial air masses.</italic> Glyoxal mixing ratios over Patagonia and southern Argentina (21 <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>) are only slightly higher than those inferred for the South Atlantic. In contrast to the other investigated terrestrial regions, in the lower and free troposphere over Patagonia, glyoxal mixing ratios appear approximately constant with altitude. Mixing ratios significantly larger than the median are only observed when approaching population centres, like Buenos Aires or Rio Grande (Argentina). In the upper troposphere, and distant from such emission sources of pollutants, glyoxal mixing ratios decrease further to a median of 5 <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a), which is comparable to all other investigated regions.  The lack of significant ground-based emission sources and thus a rather small emission of glyoxal and its precursors results in a close-to-constant vertical glyoxal profile over southern Argentina, in contrast to the measurements over the Amazon Rainforest (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a). There, glyoxal strongly decreases in the free and upper troposphere due to significant enhancements in the boundary layer and the lower middle troposphere that are caused by large direct emissions of glyoxal and its precursors by biomass burning and secondary formation from longer-lived precursors emitted from the rainforest (mostly isoprene; <xref ref-type="bibr" rid="bib1.bibx46" id="altparen.120"/>). Interestingly, glyoxal in the lower troposphere over the Amazon basin is considerably smaller (median <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:mn mathvariant="normal">87</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> ppt) than reported from the tropical rainforest in a rural region of Southeast Asia (up to 1.6 <inline-formula><mml:math id="M311" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppb</mml:mi></mml:mrow></mml:math></inline-formula>), which is likely due to the large emissions of isoprene there <xref ref-type="bibr" rid="bib1.bibx66" id="paren.121"/>.</p>
            </list-item>
            <list-item>

      <p id="d1e5419"><italic>Air masses affected by biomass burning.</italic> Two of the probed biomass burning plumes (Fig. <xref ref-type="fig" rid="Ch1.F4"/>; brown colour) are documented in the literature. On 12 November 2019, an aged (3–4 d old) biomass burning filament was detected in the upper troposphere and lower stratosphere over the Drake Passage around 57<inline-formula><mml:math id="M312" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S and 67<inline-formula><mml:math id="M313" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W that most probably originated from Australian bushfires <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx70" id="paren.122"/>. On this day, elevated glyoxal up to <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:mn mathvariant="normal">83</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">32</mml:mn></mml:mrow></mml:math></inline-formula> ppt was continuously measured during a 280 <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> long flight section around 11 <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in altitude south of Patagonia (Fig. <xref ref-type="fig" rid="Ch1.F4"/>d; event 3). On 8 September 2019, an extended biomass burning plume was crossed along the southern Brazilian and Uruguayan coastlines towards Buenos Aires (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a and e for events 1.1 and 1.2; Fig. <xref ref-type="fig" rid="Ch1.F9"/>c and d). Within this plume, the largest glyoxal mixing ratios among all biomass burning measurements were observed (up to 3192 <inline-formula><mml:math id="M317" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>). The Fire Information for Resource Management System (FIRMS) fire map and air mass trajectory calculations show that the plume most probably originated from wildfires in southern Brazil, Uruguay, Paraguay, and northern Argentina (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>, Fig. <xref ref-type="fig" rid="Ch1.F9"/>c, and <xref ref-type="bibr" rid="bib1.bibx40" id="altparen.123"/>).</p>

      <p id="d1e5498">Based on the chemical markers, at least five more extended biomass burning plumes can be identified from the measurements over the tropical Atlantic (Fig. <xref ref-type="fig" rid="Ch1.F4"/> for events 4, 5, and 6) and over the East China Sea (Fig. <xref ref-type="fig" rid="Ch1.F4"/> for event 2). Additionally, occasionally smaller plumes were probed over the Mediterranean Sea and continental Europe during several research flights (Fig. <xref ref-type="fig" rid="Ch1.F4"/>c and g). Also, the air masses probed over East Asia were frequently influenced by biomass burning plumes and anthropogenic emissions. This is exemplarily indicated for event 2 (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b), which marks the crossing of polluted air masses off the coast of Taipei (Taiwan) on 19 March 2018. Around the Cabo Verde archipelago, extended biomass burning plumes were crossed,  e.g. 400 <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> southwest of the islands on 17 August 2018 (event 4), later during the same flight between the islands of Sal and Praia (event 5), and <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> off the coast of northeastern Brazil at 1.6 <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude on 12 August 2018 (event 6). For all these encounters (except event 4), significant enhancements in black carbon and <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> were simultaneously detected.</p>
            </list-item>
            <list-item>

      <p id="d1e5555"><italic>Air masses affected by anthropogenic activities.</italic> These were probed over the East China Sea, continental Europe, the English Channel, and the Irish Sea (Figs. <xref ref-type="fig" rid="Ch1.F4"/>b, c, f, and g and  <xref ref-type="fig" rid="Ch1.F5"/>g–o). In these regions, large glyoxal enhancements were observed in predominantly anthropogenic (and occasionally biomass burning) polluted air masses at all altitudes. These most probably originated from fresh anthropogenic emissions of glyoxal and its precursor into the planetary boundary layer (e.g. plume II with up to 547 <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>; Fig. <xref ref-type="fig" rid="Ch1.F4"/>c), which were further transported into the upper troposphere (e.g. plume III with up to 2970 <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>; Fig. <xref ref-type="fig" rid="Ch1.F4"/>f). Plume III was crossed between 10.5 and 12.5 <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in altitude above the Malin Sea, approximately 30 <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> north of Ireland on 28 September 2017 (Fig. <xref ref-type="fig" rid="Ch1.F6"/>a). This plume is remarkable because of its particularly high glyoxal mixing ratios despite the high observation altitude. Air mass trajectory calculations show that, 3 to 4 d prior to the observation, these air masses had been transported in a warm conveyor belt originating from the North American lower troposphere. The monitoring of a plume below 3 <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in altitude above the English Channel on 17 July 2017, which is one of the densest ship routes worldwide, yielded glyoxal mixing ratios up to 774 <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F4"/>g; plume V), which is a factor of 4 times less compared to the glyoxal enhancement in the presumably much older air in plume III. Anthropogenic pollution in the remaining but not categorised observations (Fig. <xref ref-type="fig" rid="Ch1.F4"/>; green) cannot be excluded, as the air masses are expected to be generally affected by pollution or biogenic emissions over Europe and East Asia <xref ref-type="bibr" rid="bib1.bibx6" id="paren.124"/>. These plumes can often not be unambiguously attributed to one of the three regimes, and thus we refrain from a specific categorisation.</p>
            </list-item>
          </list></p>
      <p id="d1e5629">Interestingly, the measurements in the boundary layer over continental Europe and the East China Sea yield smaller medians than those inferred over the Mediterranean Sea, where glyoxal even exceeds the observations over the Amazon Rainforest (Table <xref ref-type="table" rid="Ch1.T3"/>, Fig. <xref ref-type="fig" rid="Ch1.F4"/>a, b, c, and g, and <xref ref-type="bibr" rid="bib1.bibx46" id="altparen.125"/>).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e5641">Examples of glyoxal measurements displayed over select regions of Europe, namely <bold>(a)</bold> over Ireland and Great Britain, with the crossing of plume III during a flight leg between the Irish north coast and Scotland, <bold>(b)</bold> eastern Sicily (Italy) around Catania (C), with Mount Etna (black square), <bold>(c)</bold> the Po Valley (Italy), with Turin (T) and Milan (Mi), <bold>(d)</bold> the Munich (M; Germany) metropolitan area, <bold>(e)</bold> the Berlin (B; Germany) metropolitan area, with the Jänschwalde power plant (J) in the southeast, and <bold>(f)</bold> the Upper Silesian Coal Basin (Poland), with the coal-fired power plants marked by black squares. Note the logarithmic scale of the colour axis. Grey areas mark population centres based on 2002–2003 MODIS satellite images (made with Natural Earth data).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1369/2023/acp-23-1369-2023-f06.png"/>

        </fig>

      <p id="d1e5669">Over continental Europe, the largest mixing ratios of 580 <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> were observed while approaching Munich airport from the west at 671 <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> flight altitude on 20 July 2017. Constantly enhanced glyoxal mixing ratios were observed especially over northern Italy (Fig. <xref ref-type="fig" rid="Ch1.F4"/>c for event II; Fig. <xref ref-type="fig" rid="Ch1.F6"/>c), where glyoxal increased up to 522 <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> at 836 <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> altitude (20 July 2017). Based on all the research flights in this region, we infer a median of <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:mn mathvariant="normal">395</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">71</mml:mn></mml:mrow></mml:math></inline-formula> ppt glyoxal in the lower troposphere in May–July 2017 and 2018. This is much larger than that observed in the boundary layer over other European regions, e.g. Catania or Munich, with a median glyoxal of 78 and 51 ppt, respectively (Fig. <xref ref-type="fig" rid="Ch1.F6"/>b and d). Glyoxal in the boundary layer over northern Italy also exceeded the observations over the Upper Silesian Coal Basin in Poland (<inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mn mathvariant="normal">41</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> ppt; Fig. <xref ref-type="fig" rid="Ch1.F6"/>f), which is known to be a large emitter of anthropogenic pollutants.</p>
      <p id="d1e5738">Apparently, over Europe, the emissions of glyoxal and its precursors from distinctive regional sources of anthropogenic pollutants are, while locally confined, potentially much stronger than those caused by widespread biogenic and biomass burning VOC emissions, e.g. over the Amazon Rainforest (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a). Still, the median background (25 %–75 % of the data range) is 2 times larger over the Amazon Rainforest (4–65 <inline-formula><mml:math id="M335" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>) compared to continental Europe (3–27 ppt), as expected due to the steadily larger number of biogenic emissions there.</p>
      <p id="d1e5751">The anthropogenic emissions from some larger European coastal cities (Barcelona, Marseille, and the Gulf of Venice) were probed during research flights along the Mediterranean coast on 11, 20, and 24 July 2017 (Fig. <xref ref-type="fig" rid="Ch1.F4"/>g). These soundings are the reason for the possible highly biased glyoxal profile in the lower troposphere over the Mediterranean Sea, since lower altitude measurements were not performed over the remote sea but within the plumes of coastal cities. During the measurements over the Gulf of Venice on 20 July 2017, median mixing ratios of <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mn mathvariant="normal">363</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">102</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M337" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> were observed between 0.5 and 3.3 <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in altitude, with a maximum of <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:mn mathvariant="normal">845</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">206</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> at 500 <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in altitude presumably caused by VOC emissions from the nearby oil refinery and the oil rigs in the Adriatic Sea  and/or ship traffic (Fig. <xref ref-type="fig" rid="Ch1.F4"/>g; plume IV). The soundings into the lower troposphere (0.5–3 <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) near Barcelona on 24 July 2017 resulted in glyoxal mixing ratios up to 158 <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> (median 111 <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>). While, in the lower marine troposphere of the Mediterranean Sea, glyoxal mixing ratios are even larger than over continental Europe, the vertical profile decreases quickly over the remote ocean to a few <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> at higher altitudes. This is most likely a result of the limited vertical transport by the shallow convection over the sea and the limited lifetime of glyoxal and its major precursors.</p>
      <p id="d1e5848">The glyoxal profiles over Taiwan and the East China Sea (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b) are dominated by the polluted air masses probed during the ascent/descent into Tainan (Taiwan) airport, the low-altitude soundings over Manila (Philippines), and those performed over the East China Sea between 17 March and 4 April 2018 (Figs. <xref ref-type="fig" rid="Ch1.F4"/>b and <xref ref-type="fig" rid="Ch1.F5"/>m–o). The identification of the various plume origins indicate encounters of both anthropogenic emissions (e.g. plume I) and from biomass burning during the flights (e.g. event 2 and <xref ref-type="bibr" rid="bib1.bibx64" id="altparen.126"/>). On 19 March 2018, while flying towards the remote East China Sea, enhanced mixing ratios of benzene and toluene indicated the growing influence of anthropogenic pollutants in the probed air masses with a simultaneous increase in glyoxal up to 179 <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>. Different to the other marine measurements, lower-altitude observations over the East China Sea were obtained not only close to Taiwan but also over the more remote ocean. Given the larger emissions of pollutants by mainland China and South Korea, it is not surprising that, over the East China Sea, glyoxal mixing ratios in the lower troposphere significantly exceeded those above the South, tropical, and North Atlantic on average by 31 <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> (tropical Atlantic) up to 65 <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> (South Atlantic).</p>
      <p id="d1e5885">Overall, the glyoxal measurements in anthropogenically polluted air masses (Mediterranean Sea, continental Europe, and the East China Sea) fall into the range of previous studies in similarly polluted air masses around the globe (e.g. <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx118 bib1.bibx120 bib1.bibx26 bib1.bibx100 bib1.bibx7 bib1.bibx41 bib1.bibx121 bib1.bibx69 bib1.bibx15 bib1.bibx44" id="altparen.127"/>).</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Comparison of glyoxal VCDs from airborne and TROPOMI observations</title>
      <p id="d1e5899">Vertical column densities of glyoxal were detected with the nadir-observing spectrometers of the mini-DOAS instrument simultaneously to the limb measured glyoxal concentrations. In the following, these nadir observations and the integrated profiles are used for a detailed cross-validation of the mini-DOAS glyoxal measurements and collocated satellite observations from the TROPOMI instrument. The potential of each observation system, and its limitations regarding the detection of glyoxal, is analysed in the different atmospheric source regimes, i.e. (1) in predominantly pristine air, where both instruments operate close to their detection limits, (2) over largely extended emission events (e.g. during the South American biomass burning season), (3) in locally confined trace gas filaments in otherwise pristine air masses (e.g. small biomass burning plumes in the marine atmosphere), and (4) in air masses generally affected by differently aged biogenic and anthropogenic VOC emissions (e.g. over industrial agglomerations of continental Europe, like the Po Valley or Upper Silesian Coal Basin).</p>
      <p id="d1e5902">The airborne mini-DOAS nadir measurements are compared to respective same-day L3 processed glyoxal observations from the TROPOMI satellite instrument. Since the Sentinel-5P spacecraft was launched in October 2017, the comparison has focused on the mini-DOAS measurements from 2018 onward (EMeRGe-Asia, CoMet, and CAFE-Africa, all from 2018, and SouthTRAC in 2019). Additionally, the measurements over the North Atlantic (WISE in fall 2017) are included to extend the latitudinal coverage of the data set.</p>
      <p id="d1e5905">The glyoxal VCDs measured by both instruments generally agree well for all investigated regions (Fig. <xref ref-type="fig" rid="Ch1.F7"/>), even though the inferred VCDs show the expected statistical scatter, including the occurrence of negative VCDs due to the statistical noise of the glyoxal retrieval close to the individual detection limits. In the following, both data sets are more closely compared to highlight their strengths and limitations for the detection of glyoxal in different situations and ranges of VCDs.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e5913">Distribution of individual glyoxal VCD measurements from the TROPOMI (blue) and mini-DOAS (black) instruments, after the latter is filtered for flight altitudes <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, and according to the TROPOMI data for solar zenith angles <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M352" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. The L3 TROPOMI data at a 0.05<inline-formula><mml:math id="M353" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution are averaged on a 0.25<inline-formula><mml:math id="M354" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M355" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M356" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid around the mini-DOAS measurement locations (see Fig. <xref ref-type="fig" rid="Ch1.F8"/>b). Due to low number of airborne measurements above 8 <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> over East Asia, the altitude filter prevents a thorough statistical analysis of the region <bold>(a)</bold>.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1369/2023/acp-23-1369-2023-f07.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e6008">Glyoxal measurements in the pristine marine atmosphere over the South Atlantic between southern Patagonia (Argentina) and the surrounding islands on 9 November 2019. <bold>(a)</bold> Along-track mini-DOAS glyoxal measurements (diamonds with black contours) with the collocated same-day L3 TROPOMI observations at 0.25<inline-formula><mml:math id="M358" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M359" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M360" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution. For better visibility, only every fifth mini-DOAS measurement is shown. <bold>(b)</bold> Spatial gridding of 25 high-resolution TROPOMI measurements around an individual mini-DOAS observation. <bold>(c, d)</bold> Frequency distribution and scatterplot of the inferred glyoxal VCDs from the mini-DOAS instrument versus TROPOMI L3 averaged on 0.25<inline-formula><mml:math id="M361" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M362" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M363" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, according to panel <bold>(b)</bold>.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1369/2023/acp-23-1369-2023-f08.png"/>

        </fig>

      <p id="d1e6080"><?xmltex \hack{\newpage}?><list list-type="bullet">
            <list-item>

      <p id="d1e6086"><italic>The detection of glyoxal in pristine air masses (South Atlantic and southern Argentina)</italic>. This shows a good agreement among both instruments, with a corresponding scatter around zero (Fig. <xref ref-type="fig" rid="Ch1.F7"/>d). In this region, TROPOMI and the mini-DOAS instrument measure slightly elevated median glyoxal VCDs of <inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M366" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, respectively. Compared to TROPOMI, the mini-DOAS distribution shows a slightly larger right-hand-side tail (Fig. <xref ref-type="fig" rid="Ch1.F7"/>d). This is due to elevated glyoxal detected from the aircraft (and not captured by TROPOMI) in aged biomass burning plumes from over 20 smaller wildfires in the Chilean Biobío Region located about 100 <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> northeast of the HALO flight on 15 November 2019. Note that the scatter of TROPOMI data at the high resolution of 0.05<inline-formula><mml:math id="M368" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M369" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.05<inline-formula><mml:math id="M370" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> is significantly larger than of the mini-DOAS measurements, even though both instruments have comparable spatial resolutions. Evidently, this is a consequence of the much shorter observing time and, hence, number of collected photons from an individual pixel for TROPOMI compared to the mini-DOAS instrument (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS1.SSS4"/>). For daily TROPOMI data at 0.25<inline-formula><mml:math id="M371" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M372" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M373" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution, this scatter is largely smoothed out (Fig. <xref ref-type="fig" rid="Ch1.F8"/>a), thus demonstrating the need to spatially degrade the high-resolution TROPOMI glyoxal data in glyoxal intercomparison studies (Fig. <xref ref-type="fig" rid="Ch1.F8"/>c and d). The respective gridding of 25 high-resolution TROPOMI measurements around each mini-DOAS observation is shown for an example measurement in Fig. <xref ref-type="fig" rid="Ch1.F8"/>b.</p>
            </list-item>
            <list-item>

      <p id="d1e6220"><italic>The detection of glyoxal in largely extended biomass burning plumes.</italic> This shows generally good agreement among both instruments, even though the differing overpass times and resulting plume displacements may cause some discrepancy in the along-track comparison. Such large plumes were, for example, detected over the Gulf of Cádiz along the southern Portuguese coast on 7 August 2018 (Fig. <xref ref-type="fig" rid="Ch1.F9"/>a and b) and over southern Uruguay on 7 October 2019 (Fig. <xref ref-type="fig" rid="Ch1.F9"/>c and d). Satellite images from the MODIS instruments on the Terra and Aqua satellite taken over the Gulf of Cádiz on the same day show a well-confined biomass burning plume that was captured by both instruments with a respective increase in glyoxal (Fig. <xref ref-type="fig" rid="Ch1.F9"/>a). While the TROPOMI-detected glyoxal VCDs quickly decrease around the margins of the plume, the mini-DOAS instrument still measured slightly elevated glyoxal VCDs in the vicinity of the plume (Fig. <xref ref-type="fig" rid="Ch1.F9"/>b; data below the 1 : 1 line). This behaviour is especially pronounced towards the open Atlantic west of the plume and might be a result of the apparent degraded sensitivity of TROPOMI in the detection of small glyoxal enhancements in the lower troposphere over dark water surfaces such as the ocean (see Sect. <xref ref-type="sec" rid="Ch1.S5"/>).</p>

      <p id="d1e6235">The glyoxal enhancements over Uruguay on 7 October 2019 cannot be ascribed to one specific plume but instead to more dispersed plumes due to  extended wildfires in central Uruguay and in northeastern Argentina. Here, the large scatter of the data in Fig. <xref ref-type="fig" rid="Ch1.F9"/>d is primarily a result of the temporal mismatch between the observations made over 6 h (overpass mini-DOAS around 10:45 <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> and TROPOMI at 17:00 <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>).</p>
            </list-item>
            <list-item>

      <p id="d1e6259"><italic>The detection of glyoxal in small or aged plumes over the oceans.</italic> This, together with moderately enhanced glyoxal, shows sizeable differences between both instruments. Such plumes predominantly originate from continental wildfires and were frequently observed in all regions during all research missions (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). Over the oceans, such plume encounters can be well distinguished from the pristine surroundings with low glyoxal due to the resulting high local concentration gradients. In contrast, for observations over land with generally higher glyoxal concentration in the background, such plume encounters with only moderately enhanced glyoxal are less distinct (Fig. <xref ref-type="fig" rid="Ch1.F9"/>b, c, and g). During the South Atlantic and tropical Atlantic flights, the various smaller plumes detected from the aircraft in the upper troposphere were mostly not observed by TROPOMI, e.g. along the southern Chilean coast on 15 November 2019 (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>). During the various encounters of biomass burning plumes over the Atlantic, TROPOMI thus detects generally smaller glyoxal VCDs than the mini-DOAS instrument. This causes the right-hand-side tail of the mini-DOAS distribution and, accordingly, a slight increase in the median of the VCD distributions (Fig. <xref ref-type="fig" rid="Ch1.F7"/>c and d). The same behaviour is observed for plume encounters at lower altitudes, e.g. within the marine boundary layer below 2 <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> over the East China Sea south of Kyushu island (Japan) on 30 March 2018 (Fig. <xref ref-type="fig" rid="Ch1.F9"/>e, f, and g) or at 1.6 <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in altitude and <inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> km northeast of the Brazilian coast over the tropical Atlantic on 15 August 2018 (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>), which were both not detected by TROPOMI. Similar observations were made during multiple other occasions, e.g. during biomass burning plume encounters near the Canary Islands, Spain, on 7 and 15 August and 7 September 2018, off the coast of Brazil on 4 November 2019, along the West African coast on 10 and 31 August and 4 September 2018, and along the coast of Japan east of Osaka on 4 April 2018. Very likely, the undetected increase in glyoxal in such small or low-lying biomass burning plumes by TROPOMI is a result of (a) the potentially small vertical extent of some of the low-lying plumes and hence their relatively small contribution to the total atmospheric VCD, (b) the small horizontal extent of the plumes, which may just not be detectable by the satellite due to the lower spatial resolution of TROPOMI, or (c) it is simply missed due to the temporal mismatch with the airborne observations, (d) an incorrect a priori glyoxal profile in the air mass factor calculations, (e) a decreased sensitivity of the TROPOMI instrument to low-lying plumes over surfaces with low reflectivity (e.g. oceans), or a combination of all of these circumstances.</p>
            </list-item>
            <list-item>

      <p id="d1e6306"><italic>The detection of glyoxal in mixed polluted continental or coastal air masses (e.g. over continental Europe)</italic>. This agrees well between both instruments for upper tropospheric measurements, even though glyoxal VCDs are sometimes underestimated by TROPOMI (e.g. over the Upper Silesian Coal Basin). While we generally restrict the comparison to aircraft observations in the upper troposphere, we additionally found the airborne instrument to generally measure more glyoxal than the satellite for measurements closely above and within the polluted boundary layer. This is primarily a consequence of the observation geometry, the different a priori assumptions, and the proximity of the measurements to the pollution. At lower flight altitudes, a relatively larger fraction of photons detected by the aircraft instrument will have travelled through the pollution layer than the photons detected by the satellite (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). Second, the mostly larger assumed a priori glyoxal for the airborne observations, compared to MAGRITTE CTM simulations in polluted environments, leads to a larger detection sensitivity for glyoxal of the aircraft in low altitudes. This elevated sensitivity is particularly noticeable when the aircraft is close to or within the polluted lower atmosphere. For such measurements, the box air mass factors give even more weight to the glyoxal located below the aircraft than to the glyoxal fraction above the aircraft (to which the satellite relatively gives more weight).</p>
            </list-item>
          </list></p>
      <p id="d1e6315">Over continental Europe, both instruments detected median glyoxal VCDs roughly 2 to 5 times larger than over pristine marine environments, such as over the South, tropical, and North Atlantic (Fig. <xref ref-type="fig" rid="Ch1.F10"/>c, d, e, f, and g). When probing distinct (mostly anthropogenic) emissions of glyoxal and its precursors, such as over major population centres (e.g. Bologna) or industrial agglomerations (e.g. the Po Valley or the Upper Silesian Coal Basin), TROPOMI generally measures smaller VCDs than the mini-DOAS instrument (right-hand-side tail in the mini-DOAS distribution in Fig. <xref ref-type="fig" rid="Ch1.F7"/>b). Accordingly, over the Upper Silesian Coal Basin, a factor of 5 times larger glyoxal VCDs are detected by the mini-DOAS instrument (<inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">7.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">4.4</mml:mn></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M380" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) than by TROPOMI (<inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">1.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">2.4</mml:mn></mml:mrow></mml:mfenced><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec. cm<inline-formula><mml:math id="M382" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The smaller VCDs reported by TROPOMI over populated and industrial areas with a correspondingly increased aerosol load in the boundary layer might be caused by the decreased detectability of glyoxal from space. Figure <xref ref-type="fig" rid="Ch1.F10"/> shows the glyoxal VCDs inferred for collocated flight sections in the different regions and seasons, with the median, 25th, and 75th percentiles (box edges), and whiskers indicate the in-range minima and maxima. Additionally, the glyoxal VCDs inferred from the integrated limb profiles are compared to the nadir-inferred VCDs (Fig. <xref ref-type="fig" rid="Ch1.F10"/>; green squares). The VCDs obtained from the integrated vertical glyoxal profiles (IPs) are in good agreement with the nadir-measured VCDs, thus providing confidence in the consistency of the airborne glyoxal measurements. In general, a good agreement is found between the airborne and spaceborne glyoxal measurements for all regions and seasons, with the exceptions discussed above.</p>
      <p id="d1e6393">Even though (aged) biomass burning plumes often only extend over a limited altitude range in the lower and middle troposphere and therefore may only contribute a minor fraction to the total VCDs in background air, they are apparently discernible in airborne observations and in cases of more pronounced pollution or large vertical extent even from space (e.g. Figs. <xref ref-type="fig" rid="Ch1.F9"/>a and b and <xref ref-type="fig" rid="Ch1.F10"/>a and c).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e6403">Collocated glyoxal VCDs from mini-DOAS observations (diamonds with black contours) and 0.25<inline-formula><mml:math id="M383" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <inline-formula><mml:math id="M384" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M385" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution L3 TROPOMI observations (squares) in different regions <bold>(a, c, e,  f)</bold>, with corresponding scatterplots <bold>(b, d, g)</bold>, where each TROPOMI observation is gridded around the mini-DOAS measurements, as shown in Fig. <xref ref-type="fig" rid="Ch1.F8"/>b. For better visibility of the underlying satellite image, the footprints are not to scale. <bold>(a, b)</bold> Monitoring of a glyoxal plume from wildfires in the Serra de Monchique (Algarve, Portugal) detected by TROPOMI and by the mini-DOAS instrument (13 <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> flight altitude) over the Gulf of Cádiz at 13:50 and 11:00 <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>, respectively, on 7 August 2018. <bold>(c, d)</bold> Overpass of extended biomass burning plumes near the Uruguayan coast region observed by TROPOMI (overpass at 17:00 <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula>) and mini-DOAS (8–13 <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> flight altitude) at 10:45 <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 7 October 2019.  <bold>(e, f, g)</bold> Monitoring of a glyoxal plume within the marine boundary layer above the East China Sea, southwest of Japan, on 30 March 2018 at 12:50 <inline-formula><mml:math id="M391" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> (TROPOMI) and 01:40 <inline-formula><mml:math id="M392" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> (mini-DOAS) with the geographic overview <bold>(e)</bold>, magnification of the flight track <bold>(f)</bold>, and respective scatterplot <bold>(g)</bold>. The wildfire data (red circles; not to scale) are derived from MCD14 MODIS observations on the Terra and Aqua satellites. The MODIS satellite images are taken from NASA Worldview, based on the satellite overpasses on 13:48 <inline-formula><mml:math id="M393" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 7 August 2018 <bold>(a)</bold>, 17:23 <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 7 October 2019 <bold>(c)</bold>, and 02:30 <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">UTC</mml:mi></mml:mrow></mml:math></inline-formula> on 30 March 2018 <bold>(e)</bold>.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1369/2023/acp-23-1369-2023-f09.jpg"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e6558">Comparison of inferred glyoxal VCDs for TROPOMI (blue) and mini-DOAS measurements (black) for the different regions, namely the South American continent <bold>(a)</bold>, East China Sea <bold>(b)</bold>, continental Europe and its northern islands <bold>(c)</bold>, South Atlantic <bold>(d)</bold>, tropical Atlantic <bold>(e)</bold>, North Atlantic <bold>(f)</bold>, and the Mediterranean Sea <bold>(g)</bold>. The whiskered boxes indicate the 25th to 75th percentile ranges and respective medians with in-range minima and maxima. For comparison, the integrated glyoxal limb profiles (IPs; see Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>) for the different subsets of data (green squares) are also shown. For the South American continent, mini-DOAS VCD measurements are only available for the Patagonia and Argentina SouthTRAC deployments in fall 2019. For the measurements before 2018, TROPOMI data were not yet available.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1369/2023/acp-23-1369-2023-f10.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Comparison of measured airborne and EMAC simulated glyoxal</title>
      <p id="d1e6599">In the following, the airborne glyoxal measurements are compared to EMAC model simulations. The simulations of glyoxal concentrations and VCDs are performed on a 10 <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> time grid resolution along the flight trajectories, based on the settings described in Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/>. For the measured versus modelled intercomparison, VCDs detected at all flight altitudes are included in the analysis. This comes with the advantage of a larger number of available VCD measurements than for the airborne to satellite comparison (in particular over the East China Sea), but at the same time, the flight medians slightly change from those compiled for the satellite comparison (Figs. <xref ref-type="fig" rid="Ch1.F10"/> and <xref ref-type="fig" rid="Ch1.F12"/>). For the comparison, we distinguish between observations in background air (outside of identified emission events) and observations of elevated glyoxal due to specific emission plumes (see Fig. <xref ref-type="fig" rid="Ch1.F4"/> and Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>). The resulting profiles differentiate the characteristic background glyoxal in each region (green, yellow, and blue in Fig. <xref ref-type="fig" rid="Ch1.F11"/>) from local glyoxal enhancements due to biomass burning or anthropogenic pollution (brown and black colours, respectively, in Fig. <xref ref-type="fig" rid="Ch1.F11"/>).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e6627">Difference in measured airborne and EMAC simulated glyoxal for the different regions. Continental measurements are shown in green, measurements over the rainforest in yellow, and marine observations in blue. For the comparison, only positive valued measurements are considered due to the missing randomness of the model simulations (see the text). Since no EMAC simulations are available for the measurements over the Amazon Rainforest in 2014 and over the Mediterranean and Near East in 2015, simulations performed for the year 2017 are used instead (panel <bold>b</bold> and a minor part of the data in panel <bold>h</bold>). The data are plotted in 1 <inline-formula><mml:math id="M397" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> altitude bins for the 25th to 75th percentiles (whiskered boxes) with respective medians and with in-range minima and maxima. Profiles for identified emission events (see Fig. <xref ref-type="fig" rid="Ch1.F4"/> and Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>) are calculated separately (biomass burning in brown and anthropogenic emissions in black).</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1369/2023/acp-23-1369-2023-f11.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e6656">Comparison of measured airborne (black) and simulated (red) glyoxal VCDs in the different regions and for all flight altitudes of the measured data.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://acp.copernicus.org/articles/23/1369/2023/acp-23-1369-2023-f12.png"/>

        </fig>

      <p id="d1e6666">For the employed EMAC set-up, simulated glyoxal underestimates measured glyoxal to varying degrees, in agreement with previous findings (e.g. <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx26 bib1.bibx101 bib1.bibx124" id="altparen.128"/>; Figs. <xref ref-type="fig" rid="Ch1.F11"/> and <xref ref-type="fig" rid="Ch1.F12"/>). The best agreement between the model and measurement is generally found for the upper troposphere and in pristine regions with only a few surface emissions or expected long-range transport of glyoxal and its precursors, i.e. over Patagonia or the North Atlantic (Figs. <xref ref-type="fig" rid="Ch1.F11"/>a, e, and g and <xref ref-type="fig" rid="Ch1.F12"/>a, d, and f). Larger differences in modelled and measured glyoxal are found for regions with significant biogenic (e.g. tropical rainforests), anthropogenic (e.g. continental Europe, East China, or the Mediterranean Sea; Figs. <xref ref-type="fig" rid="Ch1.F11"/>c, d, and h and <xref ref-type="fig" rid="Ch1.F12"/>b, c, and g), or biomass-burning-related emissions of glyoxal and precursor VOCs (e.g. the tropical Atlantic; Figs. <xref ref-type="fig" rid="Ch1.F11"/>f and <xref ref-type="fig" rid="Ch1.F12"/>e). In the mixed polluted background atmosphere over continental Europe, the comparison shows a relatively small glyoxal underestimation by EMAC (Fig. <xref ref-type="fig" rid="Ch1.F11"/>d;  green), whereas measured and modelled glyoxal differ significantly when probing local emission hotspots (e.g. city plumes; Fig. <xref ref-type="fig" rid="Ch1.F11"/>d; grey) and in the mixed polluted marine boundary layer over both the East China and Mediterranean seas (Fig. <xref ref-type="fig" rid="Ch1.F11"/>c, h).</p>
      <p id="d1e6696">The following three key findings are eminent.
<list list-type="order"><list-item>
      <p id="d1e6701">Over the tropical rainforest, with its significant surface emissions of biogenic VOCs, the model overestimates glyoxal by a factor of 2–3 in the planetary boundary layer and free troposphere (Fig. <xref ref-type="fig" rid="Ch1.F11"/>b). At higher altitudes (<inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>), measured glyoxal exceeds the simulations, as also observed for the other investigated regions. This may indicate too strong emissions of short-lived biogenic VOCs (e.g. isoprene) from the rainforest and/or overestimated emissions of longer-lived glyoxal precursor molecules (e.g. aromatics or aliphatic compounds) within the model. Contrary to short-lived precursors, such longer-lived molecules are potential glyoxal precursors in the free and potentially even in the upper troposphere. In addition, the strong overestimation might point to missing glyoxal loss processes like uptake and oxidation in cloud droplets which have been recently represented in EMAC in the Jülich Aqueous-phase Mechanism of Organic Chemistry (JAMOC; <xref ref-type="bibr" rid="bib1.bibx92 bib1.bibx93" id="altparen.129"/>).</p></list-item><list-item>
      <p id="d1e6728">In distinctive biomass burning or anthropogenic emission plumes (Fig. <xref ref-type="fig" rid="Ch1.F11"/>; brown and grey), the glyoxal underestimation from the model is found to be larger than outside of the plumes. For example, glyoxal enhancements due to city plumes over Europe are mostly reproduced by the model; however, the magnitude is underestimated on average by a factor of 8. Some of the underestimation of these specific plume events is related to the fact that EMAC does not represent any monthly variation in the anthropogenic VOC emissions and does not represent any daily temporal evolution of specific biomass burning events. At the same time, the coarse resolution used (about <inline-formula><mml:math id="M400" display="inline"><mml:mrow><mml:mn mathvariant="normal">209</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">209</mml:mn></mml:mrow></mml:math></inline-formula> km<inline-formula><mml:math id="M401" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>) by EMAC smooths out specific plumes observed by the aircraft observations. Further reasons for the underestimated glyoxal in polluted air masses are presently unclear but may be related to incorrect assumptions regarding the strengths and composition of the anthropogenically emitted mixture of glyoxal-producing VOCs.</p></list-item><list-item>
      <p id="d1e6755">Our findings of enhanced glyoxal in the tropical marine boundary layer are in agreement with previous reports from the tropical Pacific and Atlantic (e.g. <xref ref-type="bibr" rid="bib1.bibx100 bib1.bibx124" id="altparen.130"/>) but are not reproduced by the model (Fig. <xref ref-type="fig" rid="Ch1.F11"/>f). Over the tropical Atlantic, EMAC simulates an approximately constant vertical profile with much smaller median glyoxal mixing ratios (4 <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>) than observed (44 <inline-formula><mml:math id="M403" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>). In the free and upper troposphere, the simulations and observations outside of biomass burning plumes agree better. Again, this discrepancy may point to missing glyoxal sources related to the organic microlayer at the sea surface in the model (e.g. <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx12" id="altparen.131"/>).</p></list-item></list></p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
      <p id="d1e6792">As discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>, the airborne mini-DOAS and satellite TROPOMI observations of glyoxal show a good agreement overall for measurements in (a) pristine air with low glyoxal concentrations near the detection limits of the instruments, (b) polluted air masses with high glyoxal concentrations (e.g. major emission plumes), and (c) continental air of mixed pollution sources. Exceptions to this overall good agreement are observations (a) over land with an increased aerosol load in the boundary layer, (b) of low-lying plumes (mostly biomass burning) over the ocean, with its low reflectivity in the visible wavelengths, and (c) of pollution plumes over the oceans with a limited vertical or horizontal extent irrespective of their altitude. For TROPOMI, this also leads to underestimated glyoxal in the marine surroundings of larger emission plumes.</p>
      <p id="d1e6797">A more systematic comparison of the mini-DOAS glyoxal measurements with previous air- or shipborne measurements in the same regions, seasons, and altitudes is complicated by the limited number of respective studies in the remote marine free and upper troposphere. In this respect, our observations provide a unique and novel data set of glyoxal measurements covering a large number of, so far, little explored (or even unexplored) regions and altitude ranges with different pollution levels around the globe. In particular, the data may provide new insights into the vertical profiles of glyoxal in different pristine marine regions. Moreover, they provide further evidence of elevated glyoxal in aged and long-range transported biomass burning plumes, similar to past studies that reported much larger glyoxal concentrations than expected. These two aspects of our measurements are discussed in more detail in the following.
<list list-type="custom"><list-item><label>1.</label>
      <p id="d1e6802">Our measurements confirm previous reports of (at least) occasionally elevated glyoxal (1–140 <inline-formula><mml:math id="M404" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula>) in the marine boundary layer over the remote ocean (e.g. <xref ref-type="bibr" rid="bib1.bibx137 bib1.bibx100 bib1.bibx19 bib1.bibx67 bib1.bibx53 bib1.bibx121 bib1.bibx17 bib1.bibx124" id="altparen.132"/>).</p>
      <p id="d1e6816">The measurements further confirm observations of elevated glyoxal in the marine boundary layer over tropical oceans compared to the marine boundary layer at higher latitudes. In fact, we observe 2–4 times more glyoxal in the marine boundary layer of the tropics compared to the South or North Atlantic (Fig. <xref ref-type="fig" rid="Ch1.F4"/> and Table <xref ref-type="table" rid="Ch1.T3"/>). The comparable large range of observed glyoxal mixing ratios in different marine regions is indicative of the large variety of the types and transport history of the investigated air masses (Table <xref ref-type="table" rid="Ch1.T3"/>). Yet, given the short lifetime of glyoxal in the sunlit atmosphere of <inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> h <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx118 bib1.bibx107 bib1.bibx26 bib1.bibx129" id="paren.133"/>, the observation of elevated glyoxal in the tropical marine atmosphere requires rather large and potentially variable sources in the range from 0.5 to 70 <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> if glyoxal is derived from the photochemical decay of its organic precursor substances. In the past, two major explanations for the as yet unexplained glyoxal over marine regions have been discussed, i.e. either (a) the transport of longer-lived glyoxal precursor species from land-based sources into the remote marine atmosphere and/or (b) the emissions of glyoxal and/or its organic precursors from the ocean.
<list list-type="custom"><list-item><label>a.</label>
      <p id="d1e6858">Based on co-located measurements of glyoxal and some of its main known precursors like isoprene and the monoterpenes, <xref ref-type="bibr" rid="bib1.bibx53" id="text.134"/> estimated their potential contribution to glyoxal in the marine boundary layer to be of the order of 10 %.  Additional long-lived glyoxal precursor molecules (e.g. aromatics, acetylene, or larger VOCs) have been suggested to explain the discrepancy between observed and expected glyoxal in the pristine marine boundary layer, but conclusive answers have not yet been found (e.g. <xref ref-type="bibr" rid="bib1.bibx100 bib1.bibx88 bib1.bibx19 bib1.bibx67 bib1.bibx53 bib1.bibx17 bib1.bibx124" id="altparen.135"/>). This finding is supported by the inferred vertical glyoxal profiles over the different marine regions. When comparing the vertical glyoxal profiles above the tropical Atlantic to those over the mid- and high-latitude Atlantic, the relative enhancement of glyoxal in the tropics appears restricted to the tropical marine boundary layer. At higher altitudes, the glyoxal profiles over different regions of the Atlantic are similar (see Table <xref ref-type="table" rid="Ch1.T3"/>). This finding strongly points to a marine glyoxal (or glyoxal precursor) source in the tropics rather than the long-range transport of glyoxal and its precursors from terrestrial emissions. If the latter process was the dominant glyoxal source in the observed marine air masses, elevated glyoxal would also be expected at higher altitudes and latitudes and not exclusively in the tropical boundary layer.</p></list-item><list-item><label>b.</label>
      <p id="d1e6870">Direct emissions of significant amounts of glyoxal from the oceans could also be convincingly ruled out, primarily because of its high water solubility (effective Henry's law coefficient of <inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:msup><mml:mi>H</mml:mi><mml:mi mathvariant="normal">cp</mml:mi></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M408" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mol</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">P</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; <xref ref-type="bibr" rid="bib1.bibx96" id="altparen.136"/>) and the observation that the daytime flux of glyoxal is directed from the atmosphere into the ocean <xref ref-type="bibr" rid="bib1.bibx137 bib1.bibx19 bib1.bibx17 bib1.bibx138" id="paren.137"/>. Potentially relevant glyoxal precursor molecules include glycolaldehyde and acetaldehyde. However, their contribution to the atmospheric glyoxal budget is poorly constrained. For instance, acetaldehyde is largely produced in seawater <xref ref-type="bibr" rid="bib1.bibx139" id="paren.138"/>, and a net flux to the atmosphere is expected <xref ref-type="bibr" rid="bib1.bibx138" id="paren.139"/>. Estimates of the global oceanic source of acetaldehyde range from 34 to 57 <inline-formula><mml:math id="M409" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx68 bib1.bibx125" id="paren.140"/>. Usually, global atmospheric models neglect this source, as is the case in the EMAC simulation performed in this study. However, even when this acetaldehyde source is taken into account, atmospheric models still underestimate observations in the boundary layer and free troposphere <xref ref-type="bibr" rid="bib1.bibx125" id="paren.141"/>. The implied that a significant and widespread missing source of acetaldehyde may therefore be relevant for the global glyoxal budget. Direct oceanic emissions of unsaturated aliphatic or additional aromatic glyoxal precursor species besides acetylene (e.g. benzene, toluene, ethylbenzene, or xylenes) have also been found to be insufficient to explain the observed glyoxal concentrations in the marine environment of the tropics <xref ref-type="bibr" rid="bib1.bibx133 bib1.bibx67" id="paren.142"/>, even though their potential source strengths have recently been reported to be larger than previously thought <xref ref-type="bibr" rid="bib1.bibx89" id="paren.143"/>. At night, <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> may oxidise some organic VOCs (e.g. toluene) and thus build up a certain glyoxal level until dawn, but the potential production rate is far too small to explain the observed glyoxal concentrations both at night and during the daytime <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx124" id="paren.144"/>.</p>
      <p id="d1e6971">In contrast, recent laboratory experiments have shown that UV-light-initiated reactions at the sea surface organic microlayer involving DOC (dissolved organic carbon) may lead to the production of significant amounts of VOCs of low solubility, e.g. fatty (heptanoic and octanoic) and nonanoic (NA) acids, and thus of secondarily formed oxidised VOCs like glyoxal and its precursors <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx17" id="paren.145"/>. From their study, <xref ref-type="bibr" rid="bib1.bibx17" id="text.146"/> concluded that the ozonolysis of 2-nonenal is most likely the primary chemical mechanism to produce significant amounts glyoxal in the marine atmosphere and that this source can potentially sustain tens of <inline-formula><mml:math id="M411" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppt</mml:mi></mml:mrow></mml:math></inline-formula> glyoxal over the ocean. In addition, a recent study of <xref ref-type="bibr" rid="bib1.bibx12" id="text.147"/> discusses an abiotic source of organic vapours emitted by photochemical reactions of the amphiphilic compounds forming surfactants at the sea surface. In their study, they determined global emissions to be 23.2–91.9 <inline-formula><mml:math id="M412" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">TgC</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> of these organic vapours due to interfacial photochemistry, of which 1.11 (0.70–1.52) <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Tg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> are attributed to emissions of isoprene. Though potentially relevant for organic aerosol mass over the remote ocean <xref ref-type="bibr" rid="bib1.bibx12" id="paren.148"/>, at this point it is unclear how much this organic vapour may ultimately contribute to the elevated glyoxal observed over the tropical oceans.</p>
      <p id="d1e7029">In conclusion, the low-to-high latitudinal gradient of glyoxal and the comparably low concentrations in the free troposphere also above the biologically active tropics provide some evidence that indeed the emissions of DOC-related VOCs from the oceanic microlayer and their photochemical decay rather than long-range transport of long-lived glyoxal precursors from land are primarily responsible for the elevated glyoxal in the pristine marine atmosphere of the tropics.</p></list-item></list></p></list-item><list-item><label>2.</label>
      <p id="d1e7033">Furthermore, our observations of enhanced glyoxal in aged biomass burning plumes both over land and the ocean confirm recent reports of enhanced glyoxal in aged biomass burning plumes that have been transported for at least several days (e.g. <xref ref-type="bibr" rid="bib1.bibx3" id="altparen.149"/>). Such plumes were observed on multiple occasions over the South (one event), North (one event), and tropical Atlantic (multiple events; see Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>), within the framework of the present study. Again, due to the short atmospheric lifetime of glyoxal during the daytime, the glyoxal detected in these aged biomass burning plumes was necessarily secondarily formed from the direct or multi-generation oxidation of as yet unidentified longer-lived VOC precursor species (e.g. benzene, acetylene, or aromatics) which were co-emitted during the wildfires. Details on how the primary emitted and secondary formed glyoxal-producing VOCs evolve in aged biomass burning plumes still need to be explored before more firm conclusions on the fate of glyoxal and its potential to form secondary aerosols in these aged biomass burning plumes can be drawn. Nevertheless, significant amounts of glyoxal may be produced by the oxidation of aromatic compounds from the evaporation of organic aerosols in such air masses <xref ref-type="bibr" rid="bib1.bibx78" id="paren.150"/>. Accounting for this process could also partially resolve the model underestimation of ozone production by biomass burning emissions <xref ref-type="bibr" rid="bib1.bibx11" id="paren.151"/>. Since biomass burning is much more frequent in the tropics than at higher latitudes, the glyoxal formed in these aged biomass burning plumes from long-lived precursors may also enhance the observed low- to high-latitude gradient of glyoxal in the lower marine atmosphere.</p></list-item></list></p>
      <p id="d1e7047">Our study confirms recent findings on glyoxal in the atmosphere, but it also offers new aspects on how widespread the occurrence of elevated glyoxal is in the atmosphere. This emphasises the potential role glyoxal may play in the oxidation of VOCs, the oxidative capacity of the atmosphere and hence ozone formation, and on its importance in secondary aerosol formation.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d1e7058">We report on spectroscopic glyoxal measurements in nadir and limb geometry performed during 72 research flights all around the globe aboard the German research aircraft HALO between 2014 and 2019. The directly measured and profile-integrated column densities of glyoxal are compared to near-collocated measurements from space by the TROPOMI instrument on the Copernicus Sentinel-5 Precursor satellite. Based on this unique data set with respect to geographical and seasonal coverage, an in-depth evaluation of the strengths and weaknesses of each observation technique is made. Overall, a good agreement is found among the two data sets, with the exception of airborne observations of faint glyoxal plumes occurring over surfaces of low reflectivity and plumes in lower altitudes (i.e. in the marine or planetary boundary layer).</p>
      <p id="d1e7061">The combined airborne nadir and limb data set is the first of its kind and may offer new information on the fate of atmospheric glyoxal in the global atmosphere. The limb measurements further allow us to infer and investigate different glyoxal profiles in the troposphere over different regions of the world. They are, however, not representative of climatological glyoxal studies due to their limited coverage in space and time. The integrals of the limb profiles compare well with the nadir total glyoxal column densities measured from the aircraft and from space.
Both types of airborne measurements, i.e. total atmospheric column densities and the vertical profiles, are further compared to glyoxal simulations of the global atmosphere chemistry model EMAC. The comparison of measured and simulated glyoxal points to several deficits in the current representation of the photochemistry of glyoxal and its precursor species in respective models. The general underestimation of glyoxal found in the simulations over land and oceans has already been recognised in previous studies, most of which were based on past satellite observations (e.g. <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx73 bib1.bibx101" id="altparen.152"/>).</p>
      <p id="d1e7067">Our airborne glyoxal observations confirm key findings related to atmospheric glyoxal reported in recent studies, specifically the occurrence of elevated glyoxal in aged biomass burning plumes <xref ref-type="bibr" rid="bib1.bibx3" id="paren.153"/> and in the marine boundary layer of the tropics <xref ref-type="bibr" rid="bib1.bibx100 bib1.bibx88 bib1.bibx19 bib1.bibx67 bib1.bibx53 bib1.bibx17 bib1.bibx124" id="paren.154"/>. In addition, our measurements provide novel insights into various aspects of atmospheric glyoxal, e.g. its height distribution in rarely or as yet unprobed air mass types and/or those elusive for glyoxal detection from space.</p>
      <p id="d1e7076">Moreover, the study points to some major deficits in our current understanding of atmospheric glyoxal. When combined, these deficits reveal multiple causes for the current glyoxal underestimation, which do not result from the disregard of a single glyoxal precursor molecule, source, or single chemical pathway but potentially from a suite of glyoxal precursor molecules and formation processes. This conjecture is supported by the observed deficits in explaining the measured glyoxal in different types of air masses, i.e. in (a) anthropogenic plumes of larger agglomerations, (b) aged polluted air masses forming the continental glyoxal background, (c) pristine air masses of the marine boundary layer in the tropics, (d) the pristine marine atmosphere (e.g. South and North Atlantic), and (e) aged biomass burning plumes. Our observations provide novel information on the required emission strengths, concentration, and lifetimes of the possible different glyoxal-producing precursors and their intermediates necessary to close the apparent observation-to-model gap.</p>
      <p id="d1e7080">In this respect, it is noteworthy to acknowledge that deficits in understanding atmospheric glyoxal ultimately indicate a more fundamental deficiency in the current knowledge of the photochemistry and emissions of VOCs in the atmosphere, with a variety of consequences for the oxidative capacity and ozone in the atmosphere. Moreover, since glyoxal is known to support secondary organic aerosol (SOA) formation, our finding of overall larger glyoxal in both the polluted and pristine atmosphere provides evidence for an overall larger role that glyoxal may play in global SOA formation. Our study, in addition to previous research on atmospheric glyoxal, thus strongly motivates a re-evaluation of the current understanding of global VOC chemistry and its implications, e.g. for the oxidative capacity of the atmosphere, the formation of ozone and of secondary formed aerosols, both of which impact human health, the atmospheric radiative balance, and hence the global climate.</p>
</sec>

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

      <p id="d1e7087">The mini-DOAS data are archived in the HALO data repository (<uri>https://doi.org/10.17616/R39Q0T</uri>; <xref ref-type="bibr" rid="bib1.bibx87" id="altparen.155"/>) and can be accessed upon signing a data protocol. Access to TROPOMI glyoxal tropospheric column data is possible via the GLYRETRO website (<uri>https://doi.org/10.18758/71021069</uri>; <xref ref-type="bibr" rid="bib1.bibx57" id="altparen.156"/>). The EMAC simulation data are archived at the Jülich Supercomputing Centre (JSC) and are available upon request.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e7105">FK, TH, KP, MKR, and BW operated the mini-DOAS instrument. CL developed the TROPOMI glyoxal product. SR performed the EMAC simulations. CL, KP, SR, and DT contributed to the interpretation of the data analysis. FK performed the data analysis and wrote the paper, with contributions from KP, CL, SR, and DT.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e7111">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e7117">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e7123">This work contains modified Copernicus Sentinel-5 Precursor satellite data (2018–2019). We acknowledge the use of imagery from the NASA Worldview application (<uri>https://worldview.earthdata.nasa.gov/</uri>, last access: 19 May 2022), part of the NASA Earth Observing System Data and Information System (EOSDIS). We thank the Deutsches Zentrum für Luft- und Raumfahrt (DLR), for their support during the certification process of the mini-DOAS instrument. Special thanks are given to Lisa Kaser, Martina Hierle, Frank Probst, Andreas Minikin, Andrea Hausold, Michael Großrubatscher, Stefan Grillenbeck, and Marc Puskeiler, for flight coordination and planning, to Alexander Wolf and Thomas Leder, the flight engineers, and to the BAHAMAS team. We are grateful to our colleagues, for their support and coordination of the different research missions, namely Manfred Wendisch (University of Leipzig, Germany), Ulrich Pöschl, and Meinrat Andreae (both at the Max Planck Institute for Chemistry, Mainz, Germany), for the ACRIDICON-CHUVA mission, Hartwig Harder and Jos Lelieveld (both at the Max Planck Institute for Chemistry, Mainz, Germany), for OMO and CAFE-Africa, Maria Dolores Andrés Hernández and John Burrows (both at the University of Bremen, Germany), for EMeRGe-EU and EMeRGe-Asia, Peter Hoor (University of Mainz, Germany) and Martin Riese (Forschungszentrum Jülich, Germany), for WISE, Andreas Fix (DLR, Germany), for CoMet, and, finally, Martin Riese (Forschungszentrum Jülich, Germany), Peter Hoor (University of Mainz, Germany), and Markus Rapp (DLR, Germany), for SouthTRAC. We are grateful to Ulrich Schumann (DLR, Germany), for compiling and evaluating the measured data from the HALO-FAAM formation flight over southern Germany on 13 July 2017 (<uri>https://doi.org/10.5281/zenodo.4427965</uri>). We are grateful to Eric Förster, Peter Hoor, Heiko Bozem, Sören Johansson, Horst Fischer, Mira Pöhlker, Bruna Holanda, Ovid Krüger, Christopher Pöhlker, Thomas Klimach, Meinrat Andreae, and Ulrich Pöschl, for sharing their data with us. Special thanks are given to former students Dominique Lörks, Niels Leif Bracher, and Sreedev Sreekumar (all formerly at the Institute for Environmental Physics, University of Heidelberg, Germany), for assisting in the missions. We thank the editor Andreas Richter, the two anonymous reviewers, and Mriganka Sekhar Biswas, for their comments, which helped to improve the paper.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e7134">The funding of the HALO aircraft and the contributions to the various missions via the German Research Foundation (DFG; HALO-SPP 1294), the Max Planck Society (MPI), the Helmholtz-Gemeinschaft, and the Deutsches Zentrum für Luft- und Raumfahrt (DLR; all from Germany) are highly acknowledged. The authors have received funding from the Earth System Modelling (ESM) Project for this work through the provision of computing time on the ESM partition of the supercomputer JUWELS at the Jülich Supercomputing Centre. The scientific work of Flora Kluge, Klaus Pfeilsticker, Meike K. Rotermund, and Benjamin Weyland has been supported by the German Research Foundation (DFG; grant nos. PF-384/7-1, PF384/9-1, PF-384/16-1, PF-384/17, and PF-384/19). The S5P/TROPOMI glyoxal product has been supported by the European Space Agency via the GLYRETRO project, part of the Sentinel-5P<inline-formula><mml:math id="M414" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> Innovation programme (contract no. 4000127610/19/INS).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e7147">This paper was edited by Andreas Richter and reviewed by two anonymous referees.</p>
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