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  <front>
    <journal-meta><journal-id journal-id-type="publisher">AMT</journal-id><journal-title-group>
    <journal-title>Atmospheric Measurement Techniques</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1867-8548</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-13-85-2020</article-id><title-group><article-title>First data set of <inline-formula><mml:math id="M1" 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>/HDO columns from the Tropospheric Monitoring Instrument (TROPOMI)</article-title><alt-title><inline-formula><mml:math id="M2" 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>/HDO from TROPOMI</alt-title>
      </title-group><?xmltex \runningtitle{{$\chem{H_{{2}}O}$}/HDO from TROPOMI}?><?xmltex \runningauthor{A. Schneider et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Schneider</surname><given-names>Andreas</given-names></name>
          <email>a.schneider@sron.nl</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Borsdorff</surname><given-names>Tobias</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4421-0187</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>aan de Brugh</surname><given-names>Joost</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Aemisegger</surname><given-names>Franziska</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4 aff5">
          <name><surname>Feist</surname><given-names>Dietrich G.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5890-6687</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Kivi</surname><given-names>Rigel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8828-2759</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Hase</surname><given-names>Frank</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Schneider</surname><given-names>Matthias</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8452-0035</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Landgraf</surname><given-names>Jochen</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Earth science group, SRON Netherlands Institute for Space Research, Utrecht, the Netherlands</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Atmospheric Dynamics group, Department of Environmental Systems Science, ETH Zürich, Zürich, Switzerland</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Ludwig-Maximilians-Universität München, Lehrstuhl für Physik der Atmosphäre, Munich, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Deutsches Zentrum für Luft- und Raumfahrt, Institut für Physik der Atmosphäre, Oberpfaffenhofen, Germany</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Max Planck Institute for Biogeochemistry, Jena, Germany</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Greenhouse Gases and Satellite Methods group, Finnish Meteorological Institute, Sodankylä, Finland</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Institute of Meteorology and Climate Research (IMK-ASF), Karlsruhe Institute of Technology, Karlsruhe, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Andreas Schneider (a.schneider@sron.nl)</corresp></author-notes><pub-date><day>13</day><month>January</month><year>2020</year></pub-date>
      
      <volume>13</volume>
      <issue>1</issue>
      <fpage>85</fpage><lpage>100</lpage>
      <history>
        <date date-type="received"><day>11</day><month>June</month><year>2019</year></date>
           <date date-type="rev-request"><day>19</day><month>June</month><year>2019</year></date>
           <date date-type="rev-recd"><day>27</day><month>November</month><year>2019</year></date>
           <date date-type="accepted"><day>30</day><month>November</month><year>2019</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 Andreas Schneider et al.</copyright-statement>
        <copyright-year>2020</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020.html">This article is available from https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e220">Global measurements of atmospheric water vapour isotopologues aid to better understand the hydrological cycle and improve global circulation models.
This paper presents a new data set of vertical column densities of <inline-formula><mml:math id="M3" 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> and HDO retrieved from short-wave infrared (2.3 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m) reflectance measurements by the Tropospheric Monitoring Instrument (TROPOMI) onboard the Sentinel-5 Precursor satellite. TROPOMI features daily global coverage with a spatial resolution of up to <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mn mathvariant="normal">7</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. The retrieval utilises a profile-scaling approach. The forward model neglects scattering, and strict cloud filtering is therefore necessary. For validation, recent ground-based water vapour isotopologue measurements by the Total Carbon Column Observing Network (TCCON) are employed. A comparison of TCCON <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> with ground-based measurements by the Multi-platform remote Sensing of Isotopologues for investigating the Cycle of Atmospheric water (MUSICA) project for data prior to 2014 (where MUSICA data are available) shows a bias in TCCON <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> estimates. As TCCON HDO is currently not validated, an overall correction of recent TCCON HDO data is derived based on this finding. The agreement between the corrected TCCON measurements and co-located TROPOMI observations is good with an average bias of <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">21</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec cm<inline-formula><mml:math id="M9" 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> (<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> %) in <inline-formula><mml:math id="M11" 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> and <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec cm<inline-formula><mml:math id="M13" 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> (<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> %) in HDO, which corresponds to a mean bias of <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> ‰ in a posteriori <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>. The bias is lower at low- and mid-latitude stations and higher at high-latitude stations. The use of the data set is demonstrated with a case study of a blocking anticyclone in northwestern Europe in July 2018 using single-overpass data.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e444">Atmospheric water vapour represents the strongest natural greenhouse gas and transports a large amount of energy via latent heat; thus, it plays a fundamental role in shaping weather and climate <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx24" id="paren.1"/>. However, uncertainties in the quantification of the two abovementioned effects are still large and represent one of the key uncertainties in current climate prediction <xref ref-type="bibr" rid="bib1.bibx65" id="paren.2"/>. Improvement upon current climate prediction requires new observations on a global scale and with a long-term perspective. To this end, satellite observations from space are considered to be the most promising approach <xref ref-type="bibr" rid="bib1.bibx49" id="paren.3"/>.</p>
      <p id="d1e456">Constraints for the hydrological cycle are offered by observations of isotopologues of water vapour. Different equilibrium vapour pressures and diffusion constants of different isotopologues lead to isotopic fractionation whenever a phase change occurs. Isotopic fractionation occurs at the point of<?pagebreak page86?> phase change, partitioning the heavier and lighter isotopologues, depending on the thermodynamic conditions of the environment. The relative abundance of a heavy isotopologue with respect to the light isotopologue in an air parcel is therefore dependent on the source region's temperature and relative humidity, the source water's isotopic composition as well as the entire transport history of the air parcel, including all evaporation, condensation and mixing events <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx12" id="paren.4"><named-content content-type="pre">e.g.</named-content></xref>. This makes measurements of water vapour isotopologues a unique diagnostic of the hydrological cycle <xref ref-type="bibr" rid="bib1.bibx13" id="paren.5"/> and a valuable benchmark for the evaluation and further development of global and regional circulation models <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx28 bib1.bibx83 bib1.bibx52 bib1.bibx47" id="paren.6"><named-content content-type="pre">e.g.</named-content></xref>.</p>
      <p id="d1e472">The usual notation to describe the isotopological abundance variations is the relative difference of the ratio of the heavy and the light isotopologues, here HDO and <inline-formula><mml:math id="M17" 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>, <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">HDO</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, to a standard abundance ratio <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">D</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">std</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>,
          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M20" display="block"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">D</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">std</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">D</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">std</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>
        <xref ref-type="bibr" rid="bib1.bibx11" id="paren.7"/>.
The commonly used standard ratio is Vienna Standard Mean Ocean Water (VSMOW), <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mrow><mml:mi mathvariant="normal">D</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">std</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.1152</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e613">Measurements of atmospheric water vapour isotopologues are not very common.
In situ observations are performed from aircrafts and balloons <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx16 bib1.bibx17 bib1.bibx27 bib1.bibx63" id="paren.8"><named-content content-type="pre">e.g.</named-content></xref> and on the ground <xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx3 bib1.bibx6" id="paren.9"><named-content content-type="pre">e.g.</named-content></xref> using laser spectrometers or cryogenic trapping techniques. Remote sensing instruments exist on the ground and on space- or balloon-based platforms. The former are usually Fourier transform infrared (FTIR) spectrometers. Ground stations are often organised in networks. The largest networks are the Total Carbon Column Observing Network (TCCON, <xref ref-type="bibr" rid="bib1.bibx80" id="altparen.10"/>) and the Network for the Detection of Atmospheric Composition Change (NDACC, <xref ref-type="bibr" rid="bib1.bibx14" id="altparen.11"/>). The data product of the former includes <inline-formula><mml:math id="M22" 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> and HDO, whereas the latter involves water vapour isotopologue measurements retrieved by the Multi-platform remote Sensing of Isotopologues for investigating the Cycle of Atmospheric water (MUSICA) project <xref ref-type="bibr" rid="bib1.bibx60" id="paren.12"/>. With respect to satellites, <inline-formula><mml:math id="M23" 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> and <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HDO</mml:mi></mml:mrow></mml:math></inline-formula> were first retrieved by <xref ref-type="bibr" rid="bib1.bibx84" id="text.13"/> using thermal infrared measurements from the Interferometric Monitor for Greenhouse gases (IMG) sensor onboard the Advanced Earth Observing Satellite (ADEOS). Later, this was followed by the Tropospheric Emission Spectrometer (TES) on the Earth Observing System (EOS) Aura satellite <xref ref-type="bibr" rid="bib1.bibx77" id="paren.14"/>, the Michelson Interferometer for Passive Atmospheric Sounding (MIPAS) onboard the European Space Agency (ESA)'s environmental satellite (ENVISAT) <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx45" id="paren.15"/>, the SCanning Imaging Absorption spectroMeter for Atmospheric CHartographY (SCIAMACHY) instrument on ENVISAT <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx55 bib1.bibx57" id="paren.16"/>, the Infrared Atmospheric Sounding Interferometer (IASI) onboard the MetOP satellites <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx58 bib1.bibx60 bib1.bibx36" id="paren.17"/>, the Greenhouse Gases Observing Satellite (GOSAT) <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx8" id="paren.18"/> and the Atmospheric Infrared Sounder (AIRS) onboard the NASA Aqua satellite <xref ref-type="bibr" rid="bib1.bibx79" id="paren.19"/>.
The sensitivity of instruments observing in the thermal infrared (IMG, TES, MIPAS, IASI and AIRS) is very different from that of instruments measuring in the short-wave infrared, such as SCIAMACHY and GOSAT. While the former are mainly sensitive in the stratosphere and free troposphere, the latter have good sensitivity in the lower troposphere, including the boundary layer.
On 13 October 2017, the Tropospheric Monitoring Instrument (TROPOMI) onboard the Sentinel-5 Precursor (S5P) satellite <xref ref-type="bibr" rid="bib1.bibx69" id="paren.20"/> was launched. It has a short-wave infrared band in heritage of SCIAMACHY with a spectral range of 2305–2385 nm and a spectral resolution of 0.25 nm, although its signal-to-noise ratio is much better than SCIAMACHY and it has an unprecedented spatial resolution of <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mn mathvariant="normal">7</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">7</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> (in the centre of the swath). This work presents a new <inline-formula><mml:math id="M26" 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> and HDO column  data set from TROPOMI observations starting at first light of the instrument on 9 November 2017.
Section <xref ref-type="sec" rid="Ch1.S2"/> introduces the retrieval method. Section <xref ref-type="sec" rid="Ch1.S3"/> presents a ground-based data set to validate the satellite observations against, and the comparison between both data sets is shown in Sect. <xref ref-type="sec" rid="Ch1.S4"/>. Section <xref ref-type="sec" rid="Ch1.S5"/> provides a first insight into the data set's use with respect to studying synoptic-scale variability in the atmospheric branch of the water cycle. Finally, the summary of the results and the conclusions are given in Sect. <xref ref-type="sec" rid="Ch1.S6"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e742"><bold>(a)</bold> Measured radiance (blue) with its precision (light blue shading) and the spectral fit (red) for ground pixel 149 129 in orbit 3969 located near Wollongong, Australia on 20 July 2018. <bold>(b)</bold> Corresponding residuals (defined as measured minus modelled radiances, in blue) and its root mean square (rms, in cyan), precision of the radiance (in red) and its rms (in purple). <bold>(c)</bold> Simulated absorption by <inline-formula><mml:math id="M27" 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> (red), <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HDO</mml:mi></mml:mrow></mml:math></inline-formula> (green) and <inline-formula><mml:math id="M29" 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> (yellow).</p></caption>
        <?xmltex \igopts{width=426.791339pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Retrieval method</title>
      <p id="d1e799">The retrievals are performed with SICOR (short-wave infrared <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> retrieval algorithm), which utilises a profile-scaling approach and is described in detail by <xref ref-type="bibr" rid="bib1.bibx56" id="text.21"/>, <xref ref-type="bibr" rid="bib1.bibx38" id="text.22"/> and <xref ref-type="bibr" rid="bib1.bibx9" id="text.23"/>. In the following, the most important features are summarised and the specific setup is given.</p>
      <?pagebreak page87?><p id="d1e819">Using the spectral window from 2354.0 to 2380.5 nm <xref ref-type="bibr" rid="bib1.bibx56" id="paren.24"/>, the algorithm fits the total columns of <inline-formula><mml:math id="M31" 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>, <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HDO</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">CO</mml:mi></mml:mrow></mml:math></inline-formula> as well as a Lambertian surface albedo in the form of a Legendre polynomial of order 1. The isotopologue <inline-formula><mml:math id="M35" 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:mrow></mml:math></inline-formula><inline-formula><mml:math id="M36" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is included in the forward model but not fitted.
A priori profiles of water vapour are adapted from the European Centre for Medium-Range Weather Forecasts (ECMWF) analysis product. As the ECMWF data product does not distinguish between individual isotopologues, <inline-formula><mml:math id="M37" 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>, <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HDO</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M39" 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:mrow></mml:math></inline-formula><inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> profiles are obtained from the water vapour profile by scaling it with the respective average relative natural abundances. That implicitly corresponds to a prior of <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> of 0 ‰. A priori profiles of <inline-formula><mml:math id="M42" 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 CO are taken from TM5 simulations <xref ref-type="bibr" rid="bib1.bibx35" id="paren.25"/>.
Scattering cross-sections are taken from HITRAN 2016 <xref ref-type="bibr" rid="bib1.bibx21" id="paren.26"/>.
The forward model ignores scattering, so that strict filtering for clear-sky scenes is necessary. To this end, co-located measurements from the Visible Infrared Imaging Radiometer Suite (VIIRS) instrument onboard the Suomi National Polar-orbiting Partnership (S-NPP) satellite, which flies in formation with S5P, are used <xref ref-type="bibr" rid="bib1.bibx62" id="paren.27"/>. The cloud cover threshold is 1 % for both the inner field of view and the outer field of view.
Moreover, soundings with a high aerosol load are filtered out by a two-band filter as introduced by <xref ref-type="bibr" rid="bib1.bibx56" id="text.28"/> and  <xref ref-type="bibr" rid="bib1.bibx29" id="text.29"/>, which in the present configuration requires that the ratio of retrieved methane in bands with weak and strong absorption (2310–2315 and 2363–2373 nm respectively) is between 0.94 and 1.06.
Furthermore, scenes with a solar zenith angle greater than 75<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> are discarded because they are prone to errors due to more scattering and diffraction effects, which are not covered well by the forward model, and due to typically low radiances, meaning low signal-to-noise ratios.</p>
      <p id="d1e978">An exemplary spectral fit and the resulting residuals (which are defined as measured minus modelled radiances) are shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. The root-mean-square (rms) residual (cyan horizontal line in Fig. 1b) is in the order of the rms uncertainty of the radiance (purple horizontal line in Fig. 1b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e986">Examples of column averaging kernels for <bold>(a)</bold> <inline-formula><mml:math id="M44" 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> and <bold>(b)</bold> HDO for different solar zenith angles in orbit 4924 on 25 September 2018.</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020-f02.png"/>

      </fig>

      <p id="d1e1014">The sensitivity of a retrieved column to changes in a given altitudinal region is described by the column averaging kernel <xref ref-type="bibr" rid="bib1.bibx53" id="paren.30"/>. The ideal averaging kernel is unity at all altitudes, but in practice the sensitivity changes with height. Figure <xref ref-type="fig" rid="Ch1.F2"/> depicts examples of column averaging kernels for different solar zenith angles.
The sensitivity for the two isotopologues are significantly different. For <inline-formula><mml:math id="M45" 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>, the highest sensitivity is in the lowest layer (where most water vapour typically resides) and decreases with increasing altitude. The sensitivity in the stratosphere is small; however, the amount of water vapour in this altitudinal region is very small and contributes little to the total column. The sensitivity of HDO does not deviate as much from unity as that of <inline-formula><mml:math id="M46" 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>. In the<?pagebreak page88?> lower troposphere it increases slightly with increasing altitude before reaching a maximum depending on the solar zenith angle, above which it decreases.
The differences in the column averaging kernel are due to the different absorption strengths of the two isotopologues and mean that a posteriori <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> is sensitive to the profile shapes, particularly of the main isotopologue <inline-formula><mml:math id="M48" 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>; this is due to the fact that the averaging kernel for <inline-formula><mml:math id="M49" 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> deviates considerably from unity at higher altitudes.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1088">List of TCCON stations used for the validation.</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="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Station</oasis:entry>
         <oasis:entry colname="col2">Latitude</oasis:entry>
         <oasis:entry colname="col3">Longitude</oasis:entry>
         <oasis:entry colname="col4">Altitude</oasis:entry>
         <oasis:entry colname="col5">Data available from/to</oasis:entry>
         <oasis:entry colname="col6">Reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Eureka</oasis:entry>
         <oasis:entry colname="col2">80.1<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">86.4<inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col4">610 m</oasis:entry>
         <oasis:entry colname="col5">24 Jul 2010–15 Aug 2019</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx66" id="text.31"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Sodankylä</oasis:entry>
         <oasis:entry colname="col2">67.4<inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">26.6<inline-formula><mml:math id="M53" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">190 m</oasis:entry>
         <oasis:entry colname="col5">16 May 2009–24 Jun 2019</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx34" id="text.32"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">East Trout Lake</oasis:entry>
         <oasis:entry colname="col2">54.4<inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">105.0<inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col4">500 m</oasis:entry>
         <oasis:entry colname="col5">7 Oct 2016–4 Jul 2019</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx82" id="text.33"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bialystok</oasis:entry>
         <oasis:entry colname="col2">53.2<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">23.0<inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">190 m</oasis:entry>
         <oasis:entry colname="col5">1 Mar 2009–1 Oct 2018</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx15" id="text.34"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Bremen</oasis:entry>
         <oasis:entry colname="col2">53.1<inline-formula><mml:math id="M58" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">8.9<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">30 m</oasis:entry>
         <oasis:entry colname="col5">22 Jan 2010–19 Oct 2018</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx43" id="text.35"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Karlsruhe</oasis:entry>
         <oasis:entry colname="col2">49.1<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">8.4<inline-formula><mml:math id="M61" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">110 m</oasis:entry>
         <oasis:entry colname="col5">19 Apr 2010–31 Jul 2019</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx25" id="text.36"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Paris</oasis:entry>
         <oasis:entry colname="col2">48.8<inline-formula><mml:math id="M62" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">2.4<inline-formula><mml:math id="M63" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">60 m</oasis:entry>
         <oasis:entry colname="col5">23 Sep 2014–25 Oct 2018</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx67" id="text.37"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Orléans</oasis:entry>
         <oasis:entry colname="col2">48.0<inline-formula><mml:math id="M64" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">2.1<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">130 m</oasis:entry>
         <oasis:entry colname="col5">29 Aug 2009–30 Oct 2018</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx70" id="text.38"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Park Falls</oasis:entry>
         <oasis:entry colname="col2">45.9<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">90.3<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col4">440 m</oasis:entry>
         <oasis:entry colname="col5">2 Jun 2004–4 Jul 2019</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx76" id="text.39"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Rikubetsu</oasis:entry>
         <oasis:entry colname="col2">43.5<inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">143.8<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">380 m</oasis:entry>
         <oasis:entry colname="col5">16 Nov 2013–30 Oct 2018</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx41" id="text.40"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lamont</oasis:entry>
         <oasis:entry colname="col2">36.6<inline-formula><mml:math id="M70" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">97.5<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col4">320 m</oasis:entry>
         <oasis:entry colname="col5">6 Jul 2008–2 Jul 2019</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx75" id="text.41"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tsukuba</oasis:entry>
         <oasis:entry colname="col2">36.0<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">140.1<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">30 m</oasis:entry>
         <oasis:entry colname="col5">4 Aug 2011–30 Oct 2018</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx39" id="text.42"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Edwards</oasis:entry>
         <oasis:entry colname="col2">35.0<inline-formula><mml:math id="M74" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">117.9<inline-formula><mml:math id="M75" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col4">700 m</oasis:entry>
         <oasis:entry colname="col5">20 Jul 2013–4 Jul 2019</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx30" id="text.43"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">JPL</oasis:entry>
         <oasis:entry colname="col2">34.2<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">118.2<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col4">390 m</oasis:entry>
         <oasis:entry colname="col5">19 May 2011–14 May 2018</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx73" id="text.44"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pasadena</oasis:entry>
         <oasis:entry colname="col2">34.1<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">118.1<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W</oasis:entry>
         <oasis:entry colname="col4">240 m</oasis:entry>
         <oasis:entry colname="col5">20 Sep 2012–3 Jul 2019</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx74" id="text.45"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Saga</oasis:entry>
         <oasis:entry colname="col2">33.2<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">130.3<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">10 m</oasis:entry>
         <oasis:entry colname="col5">28 Jul 2011–3 May 2019</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx32" id="text.46"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Burgos</oasis:entry>
         <oasis:entry colname="col2">18.5<inline-formula><mml:math id="M82" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N</oasis:entry>
         <oasis:entry colname="col3">120.7<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">40 m</oasis:entry>
         <oasis:entry colname="col5">03 Mar 2017–26 Oct 2018</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx40" id="text.47"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wollongong</oasis:entry>
         <oasis:entry colname="col2">34.4<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col3">150.9<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">30 m</oasis:entry>
         <oasis:entry colname="col5">25 Jun 2008–30 Oct 2018</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx22" id="text.48"/>
                </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Lauder</oasis:entry>
         <oasis:entry colname="col2">45.0<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S</oasis:entry>
         <oasis:entry colname="col3">169.7<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E</oasis:entry>
         <oasis:entry colname="col4">370 m</oasis:entry>
         <oasis:entry colname="col5">2 Feb 2010–3 May 2019</oasis:entry>
         <oasis:entry colname="col6">
                  <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx48" id="text.49"/>
                </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Ground-based FTIR data sets</title>
      <p id="d1e1965">To validate the TROPOMI retrievals, ground-based Fourier transform infrared (FTIR) measurements are used. HDO is a product of NDACC-MUSICA <xref ref-type="bibr" rid="bib1.bibx5" id="paren.50"/> and TCCON <xref ref-type="bibr" rid="bib1.bibx81" id="paren.51"/>.
NDACC-MUSICA provides two products: type 1 is the direct retrieval output, and type 2 contains a posteriori processed output that reports the optimal estimation of (<inline-formula><mml:math id="M88" 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>, <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) pairs; here the type 2 product is used because it is recommended for isotopologue analyses <xref ref-type="bibr" rid="bib1.bibx5" id="paren.52"/>.
Seven stations exist in both networks: Eureka <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx66" id="paren.53"/>, Ny Ålesund <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx44" id="paren.54"/>, Bremen <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx43" id="paren.55"/>, Karlsruhe <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx25" id="paren.56"/>, Izaña <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx7" id="paren.57"/>, Wollongong <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx22" id="paren.58"/> and Lauder <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx61 bib1.bibx48" id="paren.59"/>. This allows for comparison of the TCCON and NDACC-MUSICA (here type 2) data products, which reveals a large difference in <inline-formula><mml:math id="M90" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> of 58 ‰ on average (which corresponds to a mean relative difference of <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> %) when co-locating with a maximal time difference of 1 h. An example for Wollongong is plotted in Fig. <xref ref-type="fig" rid="Ch1.F3"/>.
A comparison between MUSICA and TCCON was also performed by <xref ref-type="bibr" rid="bib1.bibx71" id="text.60"/>, who compared the MUSICA type 1 product with TCCON and found a bias in <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> of 40 ‰ on average.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e2060">Time series of daily averages of <inline-formula><mml:math id="M93" 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> <bold>(a)</bold>, HDO <bold>(b)</bold> and a posteriori <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(c)</bold> of the NDACC-MUSICA type 2 (blue crosses) and TCCON (red pluses) data products at Wollongong, Australia. The bias in <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> without daily averaging is 65.8 ‰ (<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">47.4</mml:mn></mml:mrow></mml:math></inline-formula> %).</p></caption>
        <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020-f03.png"/>

      </fig>

      <p id="d1e2122">MUSICA is explicitly created for isotopologue studies, and <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> profiles have been validated against aircraft measurements in an altitudinal range between 2 and 7 km during a dedicated campaign in summer 2013 <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx60 bib1.bibx17" id="paren.61"/>. However, data are only available until 2014; thus, there is no temporal overlap with TROPOMI which was launched in October 2017.
TCCON <inline-formula><mml:math id="M98" 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> total columns are calibrated with in situ measurements (mainly radiosondes); a so-called aircraft correction factor of 1.0183 is applied to match the reference <xref ref-type="bibr" rid="bib1.bibx81" id="paren.62"/>. However, TCCON HDO is currently not verified; thus, no correction factor is applied to it.
Therefore, it is assumed that TCCON HDO has to be corrected.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e2157"><bold>(a)</bold> Exemplary correlation histogram of TCCON <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> vs. MUSICA <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> for Wollongong, Australia. The blue line shows the result of a fit of Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>), giving the correction factor for TCCON HDO. The red line shows a linear fit of slope and intercept, and the red shading represents the confidence interval computed using the bootstrap method. <bold>(b)</bold> Number of co-located measurements for all stations in both networks. <bold>(c)</bold> Fit results of correction factors for individual stations. The red line corresponds to the error-weighted average over all stations, <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.0778</mml:mn></mml:mrow></mml:math></inline-formula>.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020-f04.png"/>

      </fig>

      <?pagebreak page89?><p id="d1e2209">In order to correct for the discrepancy, the idea is to scale TCCON HDO to match MUSICA <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>. Scaling HDO by a factor <inline-formula><mml:math id="M103" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, i.e. <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">HDO</mml:mi></mml:msub><mml:mo>↦</mml:mo><mml:mi>a</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">HDO</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, is equivalent to the linear transformation
          <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M105" display="block"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi><mml:mo>↦</mml:mo><mml:mi>a</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi><mml:mo>+</mml:mo><mml:mi>a</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></disp-formula>
        in <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>. Figure <xref ref-type="fig" rid="Ch1.F4"/>a depicts a correlation histogram of TCCON <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> vs. MUSICA <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> for the Wollongong station. Here, the relation between MUSICA and TCCON is described to a large degree by a simple scaling of the column. The result of a fit of Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) to the data is plotted as a blue line, giving the scaling factor for the TCCON HDO column. To demonstrate that this approach does not involve intercept issues, a linear fit of slope and intercept (red line) as well as the confidence interval computed using the bootstrap method (i.e. by fitting a randomly reduced data set 10 000 times, shown using red shading) has also been plotted in the figure. Both the slope and the offset are similar to the approach using Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>), and the latter lies within the confidence band of the former.
The bar chart in Fig. <xref ref-type="fig" rid="Ch1.F4"/>c visualises fit results for all stations in both networks. It shows that the correction factor does not change much between stations. The large difference in fit error is mostly due to the large difference in the amount of data (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b). Thus, it is meaningful to scale HDO at all TCCON stations by the error-weighted average correction factor <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.0778</mml:mn></mml:mrow></mml:math></inline-formula> in order to correct TCCON's bias in HDO and, in turn, <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e2343">Time series of daily averages of corrected TCCON measurements (blue crosses) and co-located TROPOMI observations (red pluses) at Edwards station (35.0<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 117.9<inline-formula><mml:math id="M112" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, 700 m a.s.l.). Shown are <bold>(a)</bold> the number of individual observations per day, <bold>(b)</bold> the reduced <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, <bold>(c)</bold> the <inline-formula><mml:math id="M114" 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> columns, <bold>(d)</bold> the HDO columns and <bold>(e)</bold> the a posteriori <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>.</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020-f05.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e2422">Correlation plot of corrected TCCON measurements and co-located TROPOMI observations for Edwards station for daily averages of <inline-formula><mml:math id="M116" 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> columns <bold>(a)</bold>, HDO columns <bold>(b)</bold> and <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(c)</bold>. The dashed lines mark equality, and the solid lines give linear fits to the data.</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020-f06.png"/>

      </fig>

</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Validation of TROPOMI retrievals</title>
      <p id="d1e2471">For validation, TROPOMI observations are co-located with TCCON measurements with a radius of 30 km, a maximal altitude difference of 500 m, a field of view of 45<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> in the FTIR viewing direction and a maximal time difference of 2 h.
Here, the TCCON HDO data are corrected according to the approach presented in the previous section.
Table <xref ref-type="table" rid="Ch1.T1"/> gives an overview of all stations used. Other stations have too few (less than 5 d) co-located measurements and have therefore not been included in the validation study.
No altitude correction is applied here. The mentioned co-location criterion for altitude is used to ensure that no bias due to the large height difference between the station and satellite ground pixel is introduced <xref ref-type="bibr" rid="bib1.bibx57" id="paren.63"><named-content content-type="pre">cf.</named-content></xref>.
For each station, daily averages are computed over all co-located measurements.
Figure <xref ref-type="fig" rid="Ch1.F5"/> shows an exemplary time series for Edwards station. The co-located observations of <inline-formula><mml:math id="M119" 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> and HDO agree very well, and the agreement in <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> is also good, with more scatter and a small bias.
Corresponding correlation plots are depicted in Fig. <xref ref-type="fig" rid="Ch1.F6"/>.
Figure 6a and b confirm the excellent agreement in <inline-formula><mml:math id="M121" 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> and HDO with Pearson correlation coefficients of 0.98 and 0.99 respectively, and a corresponding correlation coefficient of 0.96 for <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>. The average difference between TROPOMI and TCCON defines the bias. In <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>, a small bias is plain in the correlation plot and amounts to <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">22</mml:mn></mml:mrow></mml:math></inline-formula> ‰.</p>
      <?pagebreak page90?><p id="d1e2561">Figure <xref ref-type="fig" rid="Ch1.F7"/> depicts the validation statistics for all TCCON stations. The correlation in <inline-formula><mml:math id="M125" 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> and HDO is high for all stations. In <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>, the correlation is high except for a low correlation of 0.37 at Saga station, where the amount of data is very small, the variability in <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> is small, but <inline-formula><mml:math id="M128" 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> and HDO vary considerably.
Figure <xref ref-type="fig" rid="Ch1.F8"/> shows the biases. At low- and mid-latitude (<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">54</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) stations the bias is as low as <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">21</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec cm<inline-formula><mml:math id="M132" 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> (corresponding to a relative bias of <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5.7</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> %) in <inline-formula><mml:math id="M134" 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> and <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">8</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec cm<inline-formula><mml:math id="M136" 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> (<inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> %) in HDO, which corresponds to <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">11</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> ‰ (<inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.8</mml:mn></mml:mrow></mml:math></inline-formula> %) in a posteriori <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>. At these stations the bias in <inline-formula><mml:math id="M141" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> ranges between about <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> ‰. At high-latitude stations it can be as high as <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> ‰. Possible reasons for these high biases are higher relative biases in <inline-formula><mml:math id="M146" 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> and/or HDO at these relatively dry locations. At high-latitude, retrievals are generally challenging due to high solar zenith angles and low albedos which lead to low signal-to-noise ratios.
The average bias over all stations is <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">21</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M148" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> % in <inline-formula><mml:math id="M149" 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>, <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">17</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">molec</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">cm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> % in HDO, and <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> ‰ or <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.7</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> % in a posteriori <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>. This is good considering that <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> is very sensitive to small errors in <inline-formula><mml:math id="M156" 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> or HDO.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e3053">Statistics of the validation for all TCCON stations. <bold>(a)</bold> Number of days with co-located measurements. <bold>(b)</bold> Average number of co-located TROPOMI observations per day and its standard deviation. <bold>(c)</bold> Pearson correlation coefficient for <inline-formula><mml:math id="M157" 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> (red), HDO (green) and <inline-formula><mml:math id="M158" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> (yellow). <bold>(d)</bold> Average reduced <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and its standard error; the blue line visualises the average over all stations.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020-f07.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e3112">Biases for all TCCON stations. <bold>(a)</bold> Bias in <inline-formula><mml:math id="M160" 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> and its standard error. <bold>(b)</bold> Relative bias in <inline-formula><mml:math id="M161" 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> and its standard error. <bold>(c)</bold> Bias in HDO and its standard error. <bold>(d)</bold> Relative bias in HDO and its standard error. <bold>(e)</bold> Bias in a posteriori <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> and its standard error. <bold>(f)</bold> Relative bias in a posteriori <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> and its standard error. The horizontal line in all panels visualises the average over all stations.</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020-f08.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e3188">Dependence of the difference (TROPOMI – TCCON) of <inline-formula><mml:math id="M164" 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> <bold>(a)</bold>, HDO <bold>(b)</bold> and a posteriori <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(c)</bold> on the TROPOMI <inline-formula><mml:math id="M166" 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> column. Data from the high-latitude stations Eureka (Eu), Sodankylä (So) and East Trout Lake (ET) are marked using red, and those from the other stations are marked using blue.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020-f09.png"/>

      </fig>

      <p id="d1e3243">Figure <xref ref-type="fig" rid="Ch1.F9"/> shows how differences in TROPOMI observations and corrected TCCON measurements depend on the <inline-formula><mml:math id="M167" 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> column. For <inline-formula><mml:math id="M168" 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> and HDO there is no such dependence, and the Pearson correlations are very low: 0.06 and 0.08 respectively. In a posteriori <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> there is no dependence for low- and mid-latitude stations (correlation coefficient of 0.28). At the high-latitude stations Eureka, Sodankylä and East Trout Lake (marked using red in Fig. <xref ref-type="fig" rid="Ch1.F9"/>), a large range of <inline-formula><mml:math id="M170" 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> columns show no dependence, but at <inline-formula><mml:math id="M171" 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> columns below <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">21</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec cm<inline-formula><mml:math id="M173" 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> (i.e. in dry conditions), the differences between TROPOMI and TCCON increase and do depend on the <inline-formula><mml:math id="M174" 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> column. This is the main reason for the high biases at these stations, as discussed in the previous paragraph. As mentioned above, retrievals at low albedos and<?pagebreak page91?> high solar zenith angles are generally challenging. Whether the dependence of the difference in <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> on the <inline-formula><mml:math id="M176" 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> column in dry conditions at high latitudes is due to co-location errors or due to the retrieval is still unclear and has to be examined in future research.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e3381">Global plots of <inline-formula><mml:math id="M177" 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> <bold>(a)</bold> and <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(b)</bold> averaged over September 2018 on a <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grid. The average of <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> is weighted with the <inline-formula><mml:math id="M181" 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> column for mass conservation purposes.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020-f10.png"/>

      </fig>

<?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Demonstration of applications of the data set</title>
      <p id="d1e3472">An illustration of the TROPOMI retrievals on the global and monthly scale is depicted in Fig. <xref ref-type="fig" rid="Ch1.F10"/> for September 2018. There are no data over the oceans because water is too dark in the short-wave infrared and glint measurements are not taken into account. The data gaps in tropical regions are due to persistent clouds. The data quality in terms of noise is significantly better than for a multiyear average of SCIAMACHY observations <xref ref-type="bibr" rid="bib1.bibx57" id="paren.64"><named-content content-type="pre">cf.</named-content><named-content content-type="post">Fig. 7</named-content></xref>.
In the spatial distribution shown in Fig. <xref ref-type="fig" rid="Ch1.F10"/> the major isotopic effects formulated by <xref ref-type="bibr" rid="bib1.bibx13" id="text.65"/> can be recognised. The general latitudinal gradient due to the temperature dependence of the fractionation effects and progressive rain out of heavy isotopologues, the so-called latitudinal effect, is clearly visible. The continental effect of depletion due to the rain out of the heavy isotopologue is visible on all continents, including Australia. The altitude effect, which describes depletion above high ground due to lower temperature and increasing<?pagebreak page92?> rain out, can be seen, for example, over the Andes and the Himalayas.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><label>Figure 11</label><caption><p id="d1e3491">TROPOMI single-overpass results for <inline-formula><mml:math id="M182" 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> column <bold>(a)</bold> and <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(b)</bold> over Europe on 30 July 2018; VIIRS cloud fraction on the same day <bold>(c)</bold>; specific humidity <bold>(d)</bold>, relative humidity <bold>(e)</bold>, and potential temperature <bold>(f)</bold> at 700 hPa from the ECMWF analysis product over Europe at 12:00 UTC on 30 July 2018. The 700 hPa level is chosen for the thermodynamic variables because it reflects the large-scale conditions in the lower troposphere above the continental boundary layer. The overlaying contours in all panels show mean sea-level pressure from ECMWF at 12:00 UTC with a contour line distance of 2 hPa.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020-f11.png"/>

      </fig>

      <?pagebreak page95?><p id="d1e3542">To demonstrate the quality and the possibilities of the new data set of water vapour isotopologues from TROPOMI, a case study using single-overpass results over Europe on 30 July 2018 is presented in Fig. <xref ref-type="fig" rid="Ch1.F11"/>.
The summer 2018 was one of the hottest and driest in central and northern Europe <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx23" id="paren.66"/> with forest fires in Scandinavia, dry fields and low river stages all over the central and northern parts of the continent. The reason for this exceptionally hot and dry summer was the presence of a high-pressure system over northern Europe that blocked the otherwise predominant westerly moist flow from the North Atlantic. Synoptic-scale atmospheric blocking situations can lead to hot temperature extremes due to adiabatic warming of the descending air in the core of the anticyclone <xref ref-type="bibr" rid="bib1.bibx46" id="paren.67"/>. The descending vertical motion favours clear-sky conditions and, thus, further contributes to surface warming via radiative effects in the centre of the anticyclone <xref ref-type="bibr" rid="bib1.bibx68" id="paren.68"/>. In particular, the end of July 2018 was characterised by a stationary blocking anticyclone extending over the entire troposphere over northwestern Russia and Scandinavia. This blocking led to large-scale descent and to a divergent flow near the surface in its core, resulting in clear-sky conditions over northwestern Russia and Finland (see Fig. <xref ref-type="fig" rid="Ch1.F11"/>c). The isotopic signature of the blocking anticyclone in Fig. <xref ref-type="fig" rid="Ch1.F11"/>b reflects this synoptic flow configuration with low <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> signals of between <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">250</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> ‰ in the centre of the anticyclone. The depleted total column vapour in this region is due to the large-scale subsidence transporting depleted (Fig. <xref ref-type="fig" rid="Ch1.F11"/>b) and dry (Fig. <xref ref-type="fig" rid="Ch1.F11"/>d) upper tropospheric air towards lower levels. The near-surface divergent wind exports more enriched freshly evaporated moisture that is taken up near the surface towards the edges of the blocking. The anticyclone area is characterised by clear skies (Fig. <xref ref-type="fig" rid="Ch1.F11"/>c) with low specific humidity (1–3 g kg<inline-formula><mml:math id="M187" 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> at 700 hPa, Fig. <xref ref-type="fig" rid="Ch1.F11"/>d), low relative humidity (10 %–30 % at 700 hPa, Fig. <xref ref-type="fig" rid="Ch1.F11"/>e) and high potential temperature associated with the dry subsiding (adiabatically warming) air masses (Fig. <xref ref-type="fig" rid="Ch1.F11"/>f). The dry low-level outflow encounters moister and warmer air at the edge of the surface anticyclone, leading to a very strong horizontal gradient of specific and relative humidity (Fig. <xref ref-type="fig" rid="Ch1.F11"/>d, e) in the lower troposphere. As a consequence, the warm moist air is forced to rise, localised instabilities occur, and isolated convective cells develop leading to condensation and the formation of a ring of clouds around the blocking anticyclone. A distinct arc-like feature of enriched total column water vapour at the edge of the anticyclone can be distinguished and is slightly displaced from the first clouds in the northwest (Fig. <xref ref-type="fig" rid="Ch1.F11"/>b). Turbulent mixing and convection that inject more enriched, freshly evaporated moisture advected with the large-scale flow from marine environments (Barents Sea, North Sea and Black Sea) could be the reason for this interesting enriched ring-like water vapour isotopologue pattern. A very depleted cloud-free area south of the Ob River with <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> values below <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">250</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (Fig. <xref ref-type="fig" rid="Ch1.F11"/>b) might be connected to anomalously strong subsidence of northerly continental air masses.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><?xmltex \currentcnt{12}?><label>Figure 12</label><caption><p id="d1e3646">Two-dimensional histogram of all TROPOMI observations in the 50–70<inline-formula><mml:math id="M190" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 20–60<inline-formula><mml:math id="M191" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E area on 30 July 2018 (colour-coded). The black contours show the 25 %, 50 % and 75 % levels of the cumulative density. The dashed green curve represents a Rayleigh fractionation process, and the solid green, blue and cyan curves represent idealised mixing processes as specified by the legend.</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/13/85/2020/amt-13-85-2020-f12.png"/>

      </fig>

      <p id="d1e3673">The large range of measured <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M193" 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> mixing ratios during the northeastern European blocking on 30 July 2018 (Fig. <xref ref-type="fig" rid="Ch1.F11"/>a, b) becomes apparent in Fig. <xref ref-type="fig" rid="Ch1.F12"/>, where a two-dimensional histogram and the cumulative density of the TROPOMI data in the 50–70<inline-formula><mml:math id="M194" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 20–60<inline-formula><mml:math id="M195" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E region is shown along with two different types of idealised air mass transformation scenarios (coloured lines). These simple idealised scenarios are frequently used in the literature to guide the interpretation of stable isotope measurements in (<inline-formula><mml:math id="M196" 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>, <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) diagrams <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx78 bib1.bibx42" id="paren.69"><named-content content-type="pre">e.g.</named-content></xref>. The first scenario, illustrated by the dashed green line in Fig. <xref ref-type="fig" rid="Ch1.F12"/>, is that an air parcel with a humidity of 15 000 ppm and <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> ‰ <xref ref-type="bibr" rid="bib1.bibx6" id="paren.70"><named-content content-type="pre">typical for the continental boundary layer in this northerly continental region,</named-content></xref> experienced moist adiabatic ascent with condensation following a Rayleigh process <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx13" id="paren.71"><named-content content-type="pre">dashed green line;</named-content></xref>. The progressive decrease of <inline-formula><mml:math id="M199" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> with a decreasing water vapour mixing ratio would thus be due to preferential condensation of HDO compared with <inline-formula><mml:math id="M200" 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> and the subsequent removal of hydrometeors by precipitation. The dashed green Rayleigh curve in Fig. <xref ref-type="fig" rid="Ch1.F12"/> shows a behaviour that is different from the TROPOMI data points. Given the clear-sky conditions and the subsidising movement of the air masses within the blocking anticyclone, the assumptions needed for a Rayleigh distillation process are hardly fulfilled. The second scenario, illustrated by the solid green, blue, and cyan lines in Fig. <xref ref-type="fig" rid="Ch1.F12"/>, is that two air parcels with distinct humidity and <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> are mixed due to turbulent and convective mixing to yield different blends that follow the so-called mixing lines in the (<inline-formula><mml:math id="M202" 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>, <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) space. The highest density of observed blocking anticyclone points retrieved by TROPOMI is located in the region spanned by the green and the cyan mixing lines in the (<inline-formula><mml:math id="M204" 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>, <inline-formula><mml:math id="M205" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>) space. The 25 %, 50 % and 75 % contours of the cumulative density of points are aligned with the blue mixing line. This suggests that a two end-member mixing process describes the data much better than an idealised Rayleigh process (dashed green line in Fig. <xref ref-type="fig" rid="Ch1.F12"/>). In this particular synoptic situation, this corresponds to the moistening of a subsidising air mass from the mid troposphere.</p>
      <p id="d1e3865">In future work, the nature and occurrence of these features should be analysed in more detail, including a catalogue of different continental blocking events with observations from TROPOMI.</p>
      <p id="d1e3868">Apart from investigations on the water cycle dynamics associated with continental blockings, many other dynamically interesting contexts exist where TROPOMI could present an important added value for further investigations. These comprise, among others, the region of the heat low over the Sahara <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx20 bib1.bibx37" id="paren.72"><named-content content-type="pre">e.g.</named-content></xref> or continental regions upstream of cold air surges leading to events of strong ocean evaporation along the warm ocean western boundary currents <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx2" id="paren.73"/>.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Summary and conclusions</title>
      <p id="d1e3887">This work presents a new data set of <inline-formula><mml:math id="M206" 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> and HDO columns retrieved from TROPOMI short-wave infrared observations. Scattering is ignored in the forward model so that a strict cloud filtering is necessary, which is performed with co-located VIIRS measurements. The data quality is such that single overpasses yield meaningful results, which is a huge step forward compared with previous missions like SCIAMACHY.</p>
      <p id="d1e3903">For validation of the TROPOMI data product, particular attention must be paid to the reference data sets. At this stage, there are two data products of ground-based observations of the HDO total column available, provided by the TCCON and NDACC-MUSICA networks. Comparing these two data products for stations in both networks reveals a large bias between the ground-based products of 58 ‰ on average in <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>. NDACC-MUSICA was decidedly developed for water vapour isotopologue studies and is validated in <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> with aircraft measurements; however, data are only available until 2014. TCCON provides recent data with temporal overlap with TROPOMI observations, and its <inline-formula><mml:math id="M209" 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> total column data product is validated against in situ measurements; however,<?pagebreak page96?> its HDO data product is not verified. In order to obtain a suitable validation data set, TCCON HDO columns are scaled by a factor of 1.0778 to match the MUSICA <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> over the common observation time period.</p>
      <p id="d1e3949">Using a co-location radius of 30 km, a maximal altitude difference of 500 m, a field of view of 45<inline-formula><mml:math id="M211" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and a maximal time difference of 2 h, a good agreement is found between corrected TCCON measurements and co-located TROPOMI observations. The mean bias is <inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">21</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec cm<inline-formula><mml:math id="M213" 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> (<inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> %) for <inline-formula><mml:math id="M215" 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>, <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7</mml:mn><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">17</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> molec cm<inline-formula><mml:math id="M217" 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> (<inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">7.3</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> %) for HDO and <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">14</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">17</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> ‰ (<inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mn mathvariant="normal">5.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">6.7</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> %) for <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula>. At low- and mid-latitude stations the bias in <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi></mml:mrow></mml:math></inline-formula> ranges between about <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> ‰, whereas at high-latitude stations it can be as high as <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">45</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">60</mml:mn></mml:mrow></mml:math></inline-formula> ‰. Retrievals at high latitudes are challenging due to long light paths and low albedos.</p>
      <p id="d1e4178">The use of the new data set is demonstrated in a case study of an atmospheric blocking event with a single TROPOMI overpass over northeastern Europe on 30 July 2018. Depleted air masses are found in the core of the anticyclone due to subsidence transporting upper tropospheric air towards lower levels. At the edge of the anticyclone a ring of enriched air is observed. A climatological study on the water vapour isotopic signature of continental summer blocking events could provide promising insights into the atmospheric water cycling associated with such systems that frequently lead to heat waves and hot temperature extremes.
This case study shows the quality of the new data set and the added value for isotopologue studies, enabling studies on a day-by-day basis with high spatial resolution over continental regions.</p>
      <p id="d1e4182">Due to the restrictive filter for clear-sky scenes, the data coverage is limited. To improve on this, cloudy-sky retrievals over low clouds will be considered in a future study by using a forward model that accounts for scattering.
Moreover, a calibration and validation of the TCCON HDO product is necessary. Additionally, it would be beneficial if recent NDACC-MUSICA data became available. Finally, an improvement in the consistency between the networks would be very valuable.</p>
</sec>

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

      <p id="d1e4189">The TROPOMI HDO data set from this study is available for download at <uri>ftp://ftp.sron.nl/open-access-data-2/TROPOMI/tropomi/hdo/9_1/</uri> (last access: 20 December 2019). MUSICA data are available from <uri>ftp://ftp.cpc.ncep.noaa.gov/ndacc/MUSICA/</uri> (last access: 20 December 2019) and via <ext-link xlink:href="https://doi.org/10.5281/zenodo.48902" ext-link-type="DOI">10.5281/zenodo.48902</ext-link> <xref ref-type="bibr" rid="bib1.bibx4" id="paren.74"/>.
TCCON data are available from the TCCON Data Archive as follows:
<list list-type="bullet"><list-item>
      <p id="d1e4206"><ext-link xlink:href="https://doi.org/10.14291/tccon.ggg2014.izana01.r1" ext-link-type="DOI">10.14291/tccon.ggg2014.izana01.r1</ext-link> <xref ref-type="bibr" rid="bib1.bibx7" id="paren.75"/>;</p></list-item><list-item>
      <p id="d1e4215"><ext-link xlink:href="https://doi.org/10.14291/tccon.ggg2014.bialystok01.r1/1183984" ext-link-type="DOI">10.14291/tccon.ggg2014.bialystok01.r1/1183984</ext-link> <xref ref-type="bibr" rid="bib1.bibx15" id="paren.76"/>;</p></list-item><list-item>
      <p id="d1e4224"><ext-link xlink:href="https://doi.org/10.14291/tccon.ggg2014.wollongong01.r0/1149291" ext-link-type="DOI">10.14291/tccon.ggg2014.wollongong01.r0/1149291</ext-link> <xref ref-type="bibr" rid="bib1.bibx22" id="paren.77"/>;</p></list-item><list-item>
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  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4389">AS, TB, JadB and JL undertook the TROPOMI HDO retrievals and the analysis. FA carried out the case study in Sect. <xref ref-type="sec" rid="Ch1.S5"/>. DGF aided in the search for the cause of discrepancies between (uncorrected) TCCON HDO and TROPOMI HDO. RK and FH provided TCCON data. MS provided MUSICA data and TCCON data.
All authors discussed the results and commented on the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4397">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e4403">Plots/data contain modified Copernicus Sentinel data, processed by SRON.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4409">This work was supported by the ESA Living Planet Fellowship project Water vapour Isotopologues from TROPOMI (WIFT).
The TROPOMI data processing was carried out on the Dutch National e-infrastructure with the support of the SURF Cooperative.
The MUSICA project has been funded by the European Research Council under the European Community's Seventh Framework Programme (FP7/2007–2013)/ERC under grant agreement number 256961.
Karlsruhe Institute of Technology acknowledges BMWi for funding TCCON data analysis and delivery via a DLR project (grant no 50EE1711A).
The TCCON project for the Tsukuba site is supported in part by the GOSAT series project.
Nicholas Deutscher, David Griffith, Laura T. Iraci, Isamu Morino, Justus Notholt, Christof Petri, Dave Pollard, Kei Shiomi, Kimberly Strong, Yao Té, Thorsten Warneke, Paul Wennberg and Debra Wunch provided TCCON data.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4414">This research has been supported by the European Space Agency; SRON Netherlands Institute for Space Research (grant no. 4000125587/18/I-NS).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4420">This paper was edited by John Worden and reviewed by Christian Frankenberg and one anonymous referee.</p>
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    <!--<article-title-html>First data set of H<sub>2</sub>O/HDO columns from the Tropospheric Monitoring Instrument (TROPOMI)</article-title-html>
<abstract-html><p>Global measurements of atmospheric water vapour isotopologues aid to better understand the hydrological cycle and improve global circulation models.
This paper presents a new data set of vertical column densities of H<sub>2</sub>O and HDO retrieved from short-wave infrared (2.3&thinsp;µm) reflectance measurements by the Tropospheric Monitoring Instrument (TROPOMI) onboard the Sentinel-5 Precursor satellite. TROPOMI features daily global coverage with a spatial resolution of up to 7 km × 7 km. The retrieval utilises a profile-scaling approach. The forward model neglects scattering, and strict cloud filtering is therefore necessary. For validation, recent ground-based water vapour isotopologue measurements by the Total Carbon Column Observing Network (TCCON) are employed. A comparison of TCCON <i>δ</i>D with ground-based measurements by the Multi-platform remote Sensing of Isotopologues for investigating the Cycle of Atmospheric water (MUSICA) project for data prior to 2014 (where MUSICA data are available) shows a bias in TCCON <i>δ</i>D estimates. As TCCON HDO is currently not validated, an overall correction of recent TCCON HDO data is derived based on this finding. The agreement between the corrected TCCON measurements and co-located TROPOMI observations is good with an average bias of ( − 0.2±3) × 10<sup>21</sup>&thinsp;molec&thinsp;cm<sup>−2</sup> ((1.1±7.2)&thinsp;%) in H<sub>2</sub>O and ( − 2±7) × 10<sup>17</sup>&thinsp;molec&thinsp;cm<sup>−2</sup> (( − 1.1±7.3)&thinsp;%) in HDO, which corresponds to a mean bias of ( − 14±17)&thinsp;‰ in a posteriori <i>δ</i>D. The bias is lower at low- and mid-latitude stations and higher at high-latitude stations. The use of the data set is demonstrated with a case study of a blocking anticyclone in northwestern Europe in July 2018 using single-overpass data.</p></abstract-html>
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