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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-19-2601-2026</article-id><title-group><article-title>On the capability of the Changing Atmosphere Infra-Red Tomography explorer (CAIRT) candidate mission to constrain <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="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> in the upper troposphere and lower stratosphere</article-title><alt-title>Evaluation of CAIRT <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M4" 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 UTLS</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Errera</surname><given-names>Quentin</given-names></name>
          <email>quentin.errera@aeronomie.be</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Op de beeck</surname><given-names>Marc</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Bender</surname><given-names>Stefan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8728-053X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Flemming</surname><given-names>Johannes</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4880-5329</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Funke</surname><given-names>Bernd</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0462-4702</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Hoffmann</surname><given-names>Alex</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Höpfner</surname><given-names>Michael</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4174-9531</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Livesey</surname><given-names>Nathaniel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Poli</surname><given-names>Gabriele</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Pieroux</surname><given-names>Didier</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Raspollini</surname><given-names>Piera</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5408-1809</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Sinnhuber</surname><given-names>Björn-Martin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9608-7320</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Royal Belgian Institute for Space Aeronomy (BIRA-IASB), Brussels, Belgium</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Instituto de Astrofísica de Andalucía (CSIC), Granada, Spain</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Research Department, European Centre for Medium-Range Weather Forecasts, Reading, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>European Space Research and Technology Centre, European Space Agency (ESA/ESTEC), Noordwijk, the Netherlands</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Institute of Meteorology and Climate Research – Atmospheric Trace Gases and Remote Sensing (IMKASF), Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California, USA</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Instituto di Fisica Applicata “N. Carrara” (IFAC) del Consiglio Nazionale delle Ricerche (CNR), Firenze, Italy</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Quentin Errera (quentin.errera@aeronomie.be)</corresp></author-notes><pub-date><day>17</day><month>April</month><year>2026</year></pub-date>
      
      <volume>19</volume>
      <issue>7</issue>
      <fpage>2601</fpage><lpage>2620</lpage>
      <history>
        <date date-type="received"><day>9</day><month>December</month><year>2025</year></date>
           <date date-type="rev-request"><day>27</day><month>December</month><year>2025</year></date>
           <date date-type="rev-recd"><day>10</day><month>March</month><year>2026</year></date>
           <date date-type="accepted"><day>29</day><month>March</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Quentin Errera et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026.html">This article is available from https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026.html</self-uri><self-uri xlink:href="https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e272">The Changing Atmosphere Infra-Red Tomography Explorer (CAIRT) is a satellite mission concept that was proposed within ESA's Earth Explorer 11 (EE11) programme. Although it was not selected for implementation in the EE11 competition, the CAIRT concept was assessed as scientifically and technically mature and could be implemented under another ESA framework or through international collaboration. The mission is conceived to achieve a step change in our understanding of the coupling between atmospheric circulation, composition, and regional climate. The CAIRT concept is based on limb infrared tomography of the atmosphere from the troposphere to the lower thermosphere (between <inline-formula><mml:math id="M5" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 and <inline-formula><mml:math id="M6" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 115 km altitude) with a <inline-formula><mml:math id="M7" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 400 km-wide swath, providing a three-dimensional view of atmospheric structure at unprecedented scales.</p>

      <p id="d2e296">This paper investigates the capability of CAIRT to resolve gradients of ozone (<inline-formula><mml:math id="M8" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and water vapour (<inline-formula><mml:math id="M9" 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 upper troposphere and lower stratosphere (UTLS) using an Observing System Simulation Experiment (OSSE). In this experiment, a reference atmosphere – the nature run in OSSE terminology – is built from the Copernicus Atmosphere Monitoring Service (CAMS) control simulation between October 2021 and March 2022. The nature run is used to synthesise CAIRT observations of <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="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>, employing a CAIRT orbit simulator and a simulator that accounts for CAIRT's expected measurement errors, vertical and along-track vertical resolution. Simulated CAIRT observations are then assimilated with the Belgian Assimilation System for Chemical ObsErvations (BASCOE) to produce analyses of <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M13" 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 assimilation run). To quantify the added value of CAIRT data, a BASCOE control run without CAIRT assimilation is also performed. For comparison, simulated Aura Microwave Limb Sounder (MLS) <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M15" 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> observations are also assimilated, allowing the performance of CAIRT to be evaluated relative to this reference instrument.</p>

      <p id="d2e396">The results show that (1) CAIRT <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations are able to constrain BASCOE analyses down to 7 km altitude – several kilometres lower (and thus better) than MLS;  and (2) <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> observations can constrain BASCOE down to the tropopause region, with slightly better performance than MLS at high latitudes. Additional sensitivity tests assess the impact of CAIRT systematic errors, cloud coverage, and reduced swath width.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>European Space Agency</funding-source>
<award-id>4000136480/21/NL/LF CCN1</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Aeronautics and Space Administration</funding-source>
<award-id>80NM0018D0004</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e432">The upper troposphere lower stratosphere (UTLS) region plays a critical role in regulating the Earth's climate. Ozone (<inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and water vapour (<inline-formula><mml:math id="M19" 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>), which are among the most effective greenhouse gases, exert their largest radiative effects in the upper troposphere and around the tropopause <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx37" id="paren.1"/>. Changes in the UTLS composition therefore have a direct impact on surface temperature <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx37" id="paren.2"/>. One of the key processes shaping the distribution of these gases is the Brewer-Dobson circulation (BDC) – the large-scale circulation system that spans the middle atmosphere between roughly 10 and 80 km altitude. Climate models consistently predict that the BDC will accelerate in response to global climate change <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx6" id="paren.3"/>, with significant implications for the distribution of trace gases in the UTLS <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx23" id="paren.4"/>. This includes increased exchange across the tropopause, potentially injecting <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-rich stratospheric air into the upper troposphere <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx1" id="paren.5"/>.</p>
      <p id="d2e486">To better understand these processes, amongst others, the Changing Atmosphere Infra-Red Tomography Explorer (CAIRT) was proposed to the European Space Agency (ESA) as a candidate for Earth Explorer 11 (EE11), the ESA's Earth observation flagship missions. CAIRT was down-selected for Phase 0 pre-definition studies between 2021 and 2023 and then subject to Phase A feasibility studies until mid-2025. Although CAIRT was not selected for implementation in the EE11 competition, the mission concept was assessed as scientifically and technically mature, and could still be implemented under another ESA programme or through international collaboration.</p>
      <p id="d2e489">CAIRT is designed to employ a limb-imaging Fourier Transform Spectrometer (FTS) to observe the atmosphere from 5 to 115 km of altitude in the thermal infrared spectral domain, providing observations of temperature, <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="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>, among numerous other trace gases, with unprecedented spatial resolution relying on a tomographic retrieval approach. If implemented, CAIRT would improve our understanding of how changes in the BDC influence the distribution of <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M24" 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 UTLS by observing small-scale structures and gradients of these gases across the tropopause.</p>
      <p id="d2e540">Moreover, CAIRT UTLS <inline-formula><mml:math id="M25" 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> data would be highly relevant for numerical weather prediction (NWP) systems. Many NWP models exhibit a cold temperature bias in the tropopause region caused by long wave radiative cooling associated with a moist bias in this region <xref ref-type="bibr" rid="bib1.bibx4" id="paren.6"/>. The origin of this moist bias has been linked to excessive numerical diffusion in model transport schemes around the tropopause <xref ref-type="bibr" rid="bib1.bibx7" id="paren.7"/>. Recent updates to the European Centre for Medium-Range Weather Forecasts (ECMWF) Integrated Forecast System (IFS) have reintroduced water vapour data assimilation profiles – particularly those from the Microwave Limb Sounder (MLS) – showing significant improvement in temperature forecasts <xref ref-type="bibr" rid="bib1.bibx40" id="paren.8"/>.</p>
      <p id="d2e566">The present study has two goals. First, it aims to assess whether CAIRT measurement requirements are adequate to support the CAIRT scientific objectives targeting UTLS ozone and water vapour, with emphasis on providing scientific and societal added value via improved constraints on these radiative forcing gases. Second, it aims to compare CAIRT's capabilities with those of the existing MLS instrument, which serves as one of the main references for <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <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> observations in the UTLS <xref ref-type="bibr" rid="bib1.bibx43" id="paren.9"/>. This assessment is performed using an Observing System Simulation Experiment (OSSE).</p>
      <p id="d2e596">OSSEs are typically designed to investigate the potential impacts of prospective observing systems using data assimilation (DA) techniques <xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx46 bib1.bibx10" id="paren.10"/>. They are set up using several numerical experiments: the nature run (NR), the control run (CR), and at least one assimilation run (AR). The nature run corresponds to a model simulation defining the true state of the atmosphere. It is used to simulate observations with the instrument of interest and, if needed, with other existing observing systems used in data assimilation. The control run, being either a free model run or a data assimilation run using only simulated observations of existing instruments, provides the baseline atmospheric state and serves to evaluate the impact of the new instrument. The assimilation run includes the new observations in addition to those assimilated in the CR, if any. The comparison between AR-NR and CR-NR differences quantifies the added value of the new instrument. Additional assimilation runs can also be included to test alternative instrument configurations. To avoid the identical-twin problem, which can lead to over-optimistic results, assimilation and control runs should employ a different model than the nature run. This ensures that improvements in the AR relative to the CR are primarily due to the assimilation of new observations. Although OSSEs have traditionally been used to evaluate meteorological satellite systems, several studies have also applied this technique to instruments measuring atmospheric composition <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx46 bib1.bibx2 bib1.bibx10" id="paren.11"/>.</p>
      <p id="d2e605">This paper is organized as follows. The concept of CAIRT and its capabilities to observe the UTLS composition are briefly introduced in Sect. <xref ref-type="sec" rid="Ch1.S2"/>. The nature run is presented in Sect. <xref ref-type="sec" rid="Ch1.S3"/>. The simulated observations of CAIRT and MLS are described in Sects. <xref ref-type="sec" rid="Ch1.S4"/> and <xref ref-type="sec" rid="Ch1.S5"/>, respectively, followed by a discussion comparing the performance of both instruments in Sect. <xref ref-type="sec" rid="Ch1.S6"/>. The control and assimilation runs are presented in Sect. <xref ref-type="sec" rid="Ch1.S7"/>. Results are provided in Sect. <xref ref-type="sec" rid="Ch1.S8"/>, followed by the conclusions.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>The CAIRT Candidate Mission</title>
      <p id="d2e631">This section provides a concise overview of the CAIRT mission concept; further details are available in <xref ref-type="bibr" rid="bib1.bibx41" id="text.12"/> and in the CAIRT Report for Mission Selection <xref ref-type="bibr" rid="bib1.bibx13" id="paren.13"/>. CAIRT aims to observe temperature and trace gases from infrared emission spectra of the Earth's atmosphere measured from a satellite in limb-viewing geometry. The instrument concept is based on infrared imaging, allowing for simultaneous vertical coverage (approximately 5–115 km altitude) and horizontal across-track coverage (a swath width of about 300–500 km, depending on design trade-offs). Each pixel of the imaging detector provides an interferogram within a finite acquisition time, which can be processed into a line-of-sight limb emission radiance spectrum (Level-1 data).</p>
      <p id="d2e640">By acquiring a new image every <inline-formula><mml:math id="M28" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 7.5 s, arrays of limb line-of-sight spectral radiance measurements would be acquired approximately every 50 km along the satellite track, enabling tomographic retrieval. Spectra from several pixels are typically binned to achieve sampling of about 1 km in the vertical and finer than 50 km in the across-track direction around the tangent point. Furthermore, to facilitate potential synergies with nadir instruments, CAIRT tangent points are designed to be co-registered with MetOp second generation (SG) nadir instruments, particularly with the Infrared Atmospheric Sounding Interferometer New Generation (IASI-NG), allowing both satellites to sample approximately the same air masses simultaneously.</p>
      <p id="d2e650">The CAIRT spectral range is specified in the long- to mid-wave infrared regions (718–2200 cm<sup>−1</sup>) with a spectral resolution better than 0.25 cm<sup>−1</sup> (before apodisation), enabling the retrieval of temperature and numerous trace gases like <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M32" 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="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>, nitrogen and sulfur species, CFCs, <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SF</mml:mi><mml:mn mathvariant="normal">6</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and others  <xref ref-type="bibr" rid="bib1.bibx13" id="paren.14"><named-content content-type="pre">see</named-content><named-content content-type="post">Fig. 4.11 for an example of simulated CAIRT spectra</named-content></xref>. In the UTLS, CAIRT <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observational requirements are specified with a vertical resolution better than 2 km, a horizontal (across-track, ACT) resolution better than 100 km, and a total uncertainty better than 30 ppbv in the upper troposphere and better than 150 ppbv between the lower stratosphere and 30 km altitude (see Table <xref ref-type="table" rid="T1"/>). For <inline-formula><mml:math id="M36" 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 specified spatial resolution is similar, with a total uncertainty better than 10 %. These requirements are designed to ensure sensitivity to stratosphere–troposphere exchange processes, such as stratospheric intrusions. This is illustrated in Fig. <xref ref-type="fig" rid="F9"/>a for ozone. The figure shows ozone at 7 km during a stratospheric intrusion which spans from Scandinavia to Algeria. Average ozone at 7 km is around 50 ppbv and exceeds 100 ppbv in the stratospheric intrusion. An uncertainty of better than 30 ppbv is thus reasonable if one wants to observe such kinds of intrusions. Similarly, if horizontal gradients of water vapour at 12 km like those illustrated in Fig. <xref ref-type="fig" rid="F9"/>e are to be observed, an uncertainty of better (thus smaller) than 10 % seems reasonable.</p>

<table-wrap id="T1"><label>Table 1</label><caption><p id="d2e766">CAIRT Level-2 requirements for <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M38" 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 upper troposphere (UT) and lower stratosphere (LS). Values are given as Goals (Thresholds).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Product</oasis:entry>
         <oasis:entry colname="col2">Region</oasis:entry>
         <oasis:entry colname="col3">Uncertainty</oasis:entry>
         <oasis:entry colname="col4">Vertic.</oasis:entry>
         <oasis:entry colname="col5">Horiz. ACT</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">resolution</oasis:entry>
         <oasis:entry colname="col5">resolution</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">(km)</oasis:entry>
         <oasis:entry colname="col5">(km)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">UT</oasis:entry>
         <oasis:entry colname="col3">15 (30) ppbv</oasis:entry>
         <oasis:entry colname="col4">1 (2)</oasis:entry>
         <oasis:entry colname="col5">100 (200)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">LS</oasis:entry>
         <oasis:entry colname="col3">50 (150) ppbv</oasis:entry>
         <oasis:entry colname="col4">1 (2)</oasis:entry>
         <oasis:entry colname="col5">100 (200)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M40" 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></oasis:entry>
         <oasis:entry colname="col2">UT</oasis:entry>
         <oasis:entry colname="col3">5 (10) %</oasis:entry>
         <oasis:entry colname="col4">1 (2)</oasis:entry>
         <oasis:entry colname="col5">100 (200)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">LS</oasis:entry>
         <oasis:entry colname="col3">5 (10) %</oasis:entry>
         <oasis:entry colname="col4">1 (3)</oasis:entry>
         <oasis:entry colname="col5">100 (200)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e953">The Level-1 limb radiance spectra corresponding to multiple across-track spatial samples are averaged to reduce noise before Level-2 retrievals <xref ref-type="bibr" rid="bib1.bibx13" id="paren.15"><named-content content-type="pre">see Sects. <xref ref-type="sec" rid="Ch1.S4.SS4"/> and <xref ref-type="sec" rid="Ch1.S4.SS5"/>, and</named-content><named-content content-type="post">Sect. 7.2.3</named-content></xref>. For <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M42" 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 UTLS, the spectra are binned across-track to get a spatial resolution of 100 km. Considering a default swath of 400 km, CAIRT would thus retrieve L2 profiles along four orbit tracks spaced out by 100 km for <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="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> in the UTLS (this can change for other species or altitude region).</p>
      <p id="d2e1016">CAIRT builds upon the strong space heritage of infrared limb emission measurements established by the Michelson Interferometer for Passive Atmospheric Sounding (MIPAS) instrument onboard Envisat, which operated between 2002 and 2012 <xref ref-type="bibr" rid="bib1.bibx17" id="paren.16"/>. MIPAS was a FTS scanning instrument with several co-aligned detectors, covering different spectral ranges, providing one retrieved profile approximately every 400 km. Given its 50 km ALT resolution and its four tracks, CAIRT would retrieve <inline-formula><mml:math id="M45" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 32 times more profiles than MIPAS, and <inline-formula><mml:math id="M46" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 12 times more profiles than MLS which provides one profile every 167 km along the orbit track (see Sect. <xref ref-type="sec" rid="Ch1.S5"/>). If implemented, CAIRT would be the first infrared limb imager in space, building on the heritage of the Gimballed Limb Observer for Radiance Imaging of the Atmosphere (GLORIA), which has flown on balloons and aircraft since 2011 <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx20" id="paren.17"/>. Experience with the airborne demonstrator instrument GLORIA provides confidence that the estimated performance of the CAIRT concept are realistic.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>The nature run</title>
      <p id="d2e1049">In this study, a CAMS control simulation is used as the nature run providing the synthetic truth state for ozone, water vapour and cloud. It is based on the Integrated Forecast System for COMPOsition (IFS-COMPO) cycle 47r3. The meteorological upgrade implemented in cycle 47r3 is described in <xref ref-type="bibr" rid="bib1.bibx19" id="text.18"/>, while the chemical scheme is summarized in <xref ref-type="bibr" rid="bib1.bibx3" id="text.19"/> and references therein. This cycle became operational in October 2021 but had been running as an experimental control simulation since March of that year.</p>
      <p id="d2e1058">Unlike the operational CAMS analyses, the control simulation does not assimilate either chemical or meteorological observations. However, its meteorology – including the specific humidity – is reinitialized every 24 h from the operational CAMS analyses at 00:00 UTC. The simulation employs a reduced Gaussian grid at TL511 horizontal resolution (approximately 40 km) with 137 vertical levels, providing a vertical resolution of about 400 m at 50 hPa, 300 m in the UTLS, and getting finer toward the surface.</p>
      <p id="d2e1062">In IFS-COMPO 47r3, ozone is represented using a detailed chemistry scheme in the troposphere and a linearized parameterization in the stratosphere <xref ref-type="bibr" rid="bib1.bibx18" id="paren.20"/>. For water vapour, we use the specific humidity field provided by IFS-COMPO. The control simulation was selected because its output is archived every 3 h, compared to every 6 h for the operational analyses.  In this configuration, ozone is not constrained by any observations, whereas water vapour is indirectly constrained through the daily reinitialization of specific humidity from the CAMS analyses, within which this variable is assimilated in the troposphere.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1071">Comparison of ozone from the nature run (NR) CAMS control simulation against profiles from limb instruments and ozonesonde (see legend for colour code) during October 2021–December 2021 for five latitude bands (see title of each column). Statistical values shown are, from top to bottom: mean bias normalized by the mean of the CAMS profile (NMB), the associated standard deviation (NSD) and the correlation between CAMS and the observations (Corr). Also shown is the statistical comparison of the CAMS control simulation against the mean of all instruments (black line). The number of profiles used in each latitude band are given in the Correlation plots in row 3.</p></caption>
        <graphic xlink:href="https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026-f01.png"/>

      </fig>

      <p id="d2e1080">Ozone from the CAMS control simulation is routinely evaluated against a wide range of observational datasets by the CAMS Evaluation and Quality Control (EQC) service <xref ref-type="bibr" rid="bib1.bibx3" id="paren.21"><named-content content-type="pre">see, e.g.,</named-content><named-content content-type="post">and <uri>https://atmosphere.copernicus.eu/eqa-reports-global-services</uri>, last access 13 November 2025</named-content></xref>. Following the CAMS EQC methodology, ozone from the CAMS control simulation is interpolated at the profile geolocation of ozonesondes and a set of limb-sounding instruments: the Atmospheric Chemistry Experiment Fourier Transform Spectrometer (ACE-FTS) version 5.3 <xref ref-type="bibr" rid="bib1.bibx5" id="paren.22"/>, MLS version 5.0 <xref ref-type="bibr" rid="bib1.bibx29" id="paren.23"/>, the Ozone Mapping and Profiler Suite Limb Profiler (OMPS-LP) onboard the S-NPP satellite, version 2.6 <xref ref-type="bibr" rid="bib1.bibx26" id="paren.24"/>, and the Stratosphere Aerosol and Gas Experiment III onboard ISS (SAGE-III/ISS) version 6.0 <xref ref-type="bibr" rid="bib1.bibx47" id="paren.25"/>. Statistical differences between CAMS interpolated profiles and these observations are displayed in Fig. <xref ref-type="fig" rid="F1"/> in five latitude bands for the period October–December 2021 (see Fig. <xref ref-type="fig" rid="F1"/>). The rationale for selecting this period is provided in the following paragraphs. The statistical indicators shown are the normalized mean bias (NMB) between CAMS and the observations, the associated normalized standard deviation (NSD), and the correlation coefficient (CORR) between CAMS and the observations. NMB and NSD use the mean values of CAMS for normalization.</p>
      <p id="d2e1110">In the stratosphere (above 100 hPa), except over the southern polar region, the agreement between the CAMS control simulation and both ozonesonde and satellite observations is generally good. The mean bias remains within <inline-formula><mml:math id="M47" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 %, the standard deviation of the difference is below 10 %, and the correlation typically exceeds 0.8. In the troposphere, the agreement is less good: comparisons with ozonesondes reveal positive biases between <inline-formula><mml:math id="M48" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>10 % to <inline-formula><mml:math id="M49" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>20 % in the tropics and biases within <inline-formula><mml:math id="M50" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 % at mid-latitudes. The standard deviation increases notably in the tropics, although the correlation remains between 0.5 and 0.8. While ozone from the operational CAMS analysis exhibits better agreement due to the assimilation of multiple satellite ozone retrievals, the quality of the control simulation is considered sufficient for the purposes of this study.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1143">As Fig. <xref ref-type="fig" rid="F1"/> but for water vapour.</p></caption>
        <graphic xlink:href="https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026-f02.png"/>

      </fig>

      <p id="d2e1154">For specific humidity, major upgrades to the moist-physics parameterizations and the assimilation of satellite observations were introduced in IFS-COMPO cycle 47r3 <xref ref-type="bibr" rid="bib1.bibx19" id="paren.26"/>, reducing the stratospheric temperature bias by up to 50 %. Using the same evaluation methodology as for ozone, specific humidity from the CAMS control simulation was compared with measurements from two limb-sounding instruments (see Fig. <xref ref-type="fig" rid="F2"/>). Because the stratospheric water vapour content increased by approximately 10 % following the Hunga eruption in mid-January 2022 <xref ref-type="bibr" rid="bib1.bibx32" id="paren.27"/>, and since this source of water vapour is not represented in CAMS, the comparison was restricted to the October-December 2021 period.</p>
      <p id="d2e1166">In the stratosphere (above 100 hPa), the mean bias in specific humidity is positive, between 0 % and <inline-formula><mml:math id="M51" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>10 %, with a standard deviation below 10 %. In the troposphere, both the mean bias and standard deviation increase with pressure, reaching approximately <inline-formula><mml:math id="M52" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>30 % and 50 %, respectively, at 250 hPa. The correlation remains relatively high above 50 hPa and below 200 hPa, but decreases to around 0.5 between these pressure levels, except in the tropics near 50 hPa where it approaches zero. Nevertheless, as for ozone, the quality of the control simulation is deemed adequate for use in this study.</p>
      <p id="d2e1183">The CAMS control simulation is archived in the ECMWF MARS system, and the corresponding MARS parameters required for data retrieval are provided in the Code and data availability section at the end of this paper.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Simulating CAIRT observations</title>
      <p id="d2e1194">Simulating CAIRT Level-2 (L2) profiles from the nature run involves several steps, illustrated in Fig. <xref ref-type="fig" rid="F3"/>. First, the satellite orbit must be simulated, i.e. the satellite position and velocity vectors are determined at a frequency consistent with the along-track sampling. Second, given the satellite position and velocity and the CAIRT viewing direction, the CAIRT retrieval grid is computed, providing the geolocation of the points observed by CAIRT. Third, the nature run is interpolated at the observed points, yielding the NR@L2 dataset.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1201">Processing chain used to simulate CAIRT and MLS Level-2 profiles. Processes in orange are only done for CAIRT while processes in green are done for CAIRT and MLS.</p></caption>
        <graphic xlink:href="https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026-f03.png"/>

      </fig>

      <p id="d2e1210">The performance characteristics of the L2 products, namely the averaging kernels and observational uncertainties, must also be simulated (step 4). Subsequently (step 5), the simulated L2 profiles are generated by convolving NR@L2 with the L2 performance characteristics. To account for the potential saturation of Level-1 (L1) spectra caused by the presence of clouds, cloud information is incorporated at this stage.</p>
      <p id="d2e1214">Because the number of CAIRT profiles is significantly larger than that of any existing limb-sounding instrument, direct assimilation into the BASCOE-EnKF system would lead to memory overflow. This is a well-known issue in data assimilation (DA), for which a common solution is the generation of superobservations (often referred to as superobbing in DA terminology), obtained by combining observations available at the same time within the same model grid cell.</p>
      <p id="d2e1218">All these steps are described in detail in the following subsections.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>CAIRT orbit simulation</title>
      <p id="d2e1228">As mentioned in Sect. <xref ref-type="sec" rid="Ch1.S2"/>, one of the CAIRT requirements is to provide observations co-registrated with IASI-NG onboard MetopSG. The simulation of the CAIRT orbit (step 1 in Fig. <xref ref-type="fig" rid="F3"/>) was thus performed using the MetOp-SG orbit specifications as a reference, with adjustments to the longitude of the ascending node to ensure that the MetOp-SG Nadir instruments and CAIRT sample the same air masses simultaneously (see Table <xref ref-type="table" rid="T2"/>). ESA's Earth Observation Mission Software was employed for the simulation <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx14" id="paren.28"/>.</p>

<table-wrap id="T2"><label>Table 2</label><caption><p id="d2e1243">Metop-SG and CAIRT orbit specifications.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Specifications</oasis:entry>
         <oasis:entry colname="col2">Metop-SG</oasis:entry>
         <oasis:entry colname="col3">CAIRT</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Mean Local Solar Time at ANX<sup>∗</sup></oasis:entry>
         <oasis:entry colname="col2">21:30</oasis:entry>
         <oasis:entry colname="col3">21:30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Longitude at ANX<sup>∗</sup> [degree]</oasis:entry>
         <oasis:entry colname="col2">0</oasis:entry>
         <oasis:entry colname="col3">1.956721</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Repeat cylce [days]</oasis:entry>
         <oasis:entry colname="col2">29</oasis:entry>
         <oasis:entry colname="col3">29</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Cycle length [orbits]</oasis:entry>
         <oasis:entry colname="col2">412</oasis:entry>
         <oasis:entry colname="col3">412</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Inclination [degree]</oasis:entry>
         <oasis:entry colname="col2">98.677</oasis:entry>
         <oasis:entry colname="col3">98.677</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e1246"><sup>∗</sup> Ascending Node Crossing (the point on an orbit where the spacecraft crosses the Earth's equator from South to North).</p></table-wrap-foot></table-wrap>

      <p id="d2e1363">An Orbit Scenario File was first generated <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx15" id="paren.29"/> to define the CAIRT orbit, which was subsequently used to compute the satellite position and velocity vectors with a propagation step of 7.56 s, corresponding to an along-track sampling step of approximately 50 km. The results of the orbit simulation were stored in an ASCII file (available on the CAIRT Zenodo repository, see Code and data availability section below) containing: the epoch of each propagation step (UTC), satellite position and velocity vectors in the Earth-Fixed Earth-Centered (EFEC) reference frame, latitude and longitude of the sub-satellite point, and the satellite's geodetic height.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>CAIRT L2 geolocation simulation</title>
      <p id="d2e1377">Providing the orbit parameters, the second step is to set up the CAIRT L2 grids, i.e. the time and position where CAIRT L2 profiles will be available (step 2 in Fig. <xref ref-type="fig" rid="F3"/>). This step is subdivided into two tasks. The first one is to estimate the geodetic tangent point (TP) at 30 km of altitude from a limb-viewing instrument looking backward on a polar orbit like CAIRT. An initial estimate is obtained from a spherical-Earth approximation, which provides a simple analytic relationship between spacecraft altitude, viewing geometry, and desired TP altitude. This initial value slightly overestimates the TP altitude when Earth's oblateness is considered, and it is therefore refined iteratively until the resulting TP altitude matches the requested value within a tolerance of 1 meter.</p>
      <p id="d2e1382">CAIRT being an imager, several profiles on parallel tracks will be retrieved at the same time and the second task is to find the geolocation of these profiles. For <inline-formula><mml:math id="M56" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M57" 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 UTLS, the ACT sampling has been set to 100 km (see Sect. <xref ref-type="sec" rid="Ch1.S2"/>, while for temperature, the goal and threshold are, respectively, 25 and 50 km ACT). With a swath of 400 km, this will provide four profiles per image. Their geolocations are computed left and right to the TP at 30 km and in a perpendicular plane to the LoS.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Interpolation of the nature run on the L2 grid</title>
      <p id="d2e1419">The regridding of NR onto the CAIRT L2 grid (step 3 in Fig. <xref ref-type="fig" rid="F3"/>) is performed using a subset of the BASCOE system, namely its BASCOE-MAO mode (Model At Observation). As a data assimilation system, BASCOE includes routines to read model fields and observation files, as well as an observation operator to interpolate model fields to the geolocations of the observations. In its MAO configuration, model fields are taken from snapshot files rather than being simulated by the BASCOE model. In this procedure, the 3-hourly CAMS snapshot fields are linearly interpolated in time and space to the geolocations of the CAIRT tangent points. This is the same procedure used in the CAMS EQC project to validate CAMS stratospheric ozone analyses and forecasts.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>CAIRT L2 Performance Simulation</title>
      <p id="d2e1432">To simulate CAIRT L2 profiles, the L2 performance must be estimated (step 4 in Fig. <xref ref-type="fig" rid="F3"/>), including the averaging kernels and uncertainties under different atmospheric conditions. This simulation should balance computational efficiency with sufficient complexity to provide a realistic representation of the observing system's (including the instrument's) performance.</p>
      <p id="d2e1437">A parametric approach based on linear retrieval simulations is employed, allowing efficient generation of large volumes of emulated L2 data while realistically representing the instrument performance. This approach will be presented in <xref ref-type="bibr" rid="bib1.bibx21" id="text.30"/> and is summarized below.</p>
<sec id="Ch1.S4.SS4.SSS1">
  <label>4.4.1</label><title>Climatology generation</title>
      <p id="d2e1450">A climatology of the atmospheric conditions encountered by CAIRT was created for all relevant parameters that influence spectral signatures in CAIRT's measurement range <xref ref-type="bibr" rid="bib1.bibx11" id="paren.31"/>. This includes <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M59" 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="M60" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, temperature, and other trace gases. To represent variability, the climatology was computed for four representative months corresponding to different seasons (January, April, July, and October), five latitude bands (90–70° S, 55–35° S, 20° S–20° N, 35–55° N, and 70–90° N), the two overpass local times (09:30 and 21:30), and 201 vertical levels (0–200 km with 1 km spacing).</p>
      <p id="d2e1491">Since no single atmospheric model or dataset provides all relevant trace gases across the vertical domain between 5 and 115 km, this climatology was created by blending outputs from multiple simulations from multiple models. For ozone and water vapour in the UTLS, the climatology is based on the Whole Atmosphere Community Climate Model <xref ref-type="bibr" rid="bib1.bibx22" id="paren.32"><named-content content-type="pre">WACCM;</named-content></xref> in its ACOM configuration (Atmospheric Chemistry Observations and Modeling), which has been operational since August 2019. The period considered for climatology generation was October 2019–October 2022, which was the longest available period at the time of the CAIRT Phase 0 project.</p>
</sec>
<sec id="Ch1.S4.SS4.SSS2">
  <label>4.4.2</label><title>Radiative transfer simulations</title>
      <p id="d2e1507">Using the climatology and the Karlsruhe Optimized and Precise Radiative transfer Algorithm <xref ref-type="bibr" rid="bib1.bibx45" id="paren.33"><named-content content-type="pre">KOPRA;</named-content></xref>, an ensemble of radiance spectra and their Jacobians were computed at a fine spectral sampling of 5 <inline-formula><mml:math id="M61" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−4</sup> cm<sup>−1</sup>. Subsequently these spectra were resampled to 0.2 cm<sup>−1</sup> by convolution with a sinc-function representing an ideal Fourier-Transform spectrometer of 2.5 cm<sup>−1</sup> maximum optical path difference. Perturbations were included to account for uncertainties in instrument and atmospheric parameters which are described in <xref ref-type="bibr" rid="bib1.bibx13" id="text.34"/>. The resulting spectra and Jacobians were then vertically and spectrally convolved with representative functions based on instrument specifications, including vertical sampling, the vertical System Energy Distribution Function (SEDF), and spectral apodization using the Norton–Beer–Strong function <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx35" id="paren.35"/>.</p>
</sec>
<sec id="Ch1.S4.SS4.SSS3">
  <label>4.4.3</label><title>L2 performance estimation</title>
      <p id="d2e1586">For each of the different climatological conditions, L2 performance has been diagnosed based on the corresponding radiance spectra and Jacobians. Resulting output files include the two-dimensional (vertical and along-track) averaging kernels, decomposed random error covariance matrices representing measurement noise, and two Monte-Carlo ensembles of systematic error profiles (corresponding to across-track correlated and uncorrelated uncertainties, respectively). This computation employs a tomographic retrieval approach for limb observations as in <xref ref-type="bibr" rid="bib1.bibx44" id="text.36"/>. Instrument specifications based on CAIRT's threshold uncertainty assumptions – including calibration uncertainty, calibration cycle, and systematic uncertainty – were incorporated, along with error propagation from temperature and line-of-sight retrievals in the <inline-formula><mml:math id="M66" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M67" 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> profiles.</p>
      <p id="d2e1616">In this paper, systematic errors are every type of error that are not strictly random. These include radiometric calibration errors ((1) offset and (2) scaling), (3) pointing knowledge, (4) spectral responses function (i.e., the apodized instrumental line shape), (5) system energy distribution function (i.e., the spatial response of the optical system to a spectrally uniform point source), (6) systematic uncertainties due to imperfect knowledge on the CO2 vertical distribution and (7) non-LTE related kinetic rates. Systematic errors (3) to (7) are correlated in the across-track direction, while errors (1) and (2) are uncorrelated in that direction.</p>
</sec>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><title>CAIRT L2 Profiles Simulation</title>
<sec id="Ch1.S4.SS5.SSS1">
  <label>4.5.1</label><title>Profile simulation</title>
      <p id="d2e1636">CAIRT L2 profiles are simulated for a given date using the NR@L2 daily file and the L2 performance file (step 5 in Fig. <xref ref-type="fig" rid="F3"/>). The simulator interpolates the L2-estimated two-dimensional (vertical and along-track) averaging kernels and errors to the time and location of each CAIRT L2 profile. The NR@L2 profiles are then convolved with the interpolated averaging kernel matrices and randomly perturbed in a manner that preserves spatial error correlations as follows:

              <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M68" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mrow><mml:mi mathvariant="normal">l</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="bold">I</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:mo>)</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">ϵ</mml:mi><mml:mi mathvariant="normal">rnd</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">ϵ</mml:mi><mml:mrow><mml:mi mathvariant="normal">sys</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">corr</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">ϵ</mml:mi><mml:mrow><mml:mi mathvariant="normal">sys</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">uncorr</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mrow><mml:mi mathvariant="normal">l</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is a simulated L2 profile, <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a chunk of NR@L2 profiles on the CAIRT grid spanning <inline-formula><mml:math id="M71" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1900 km in the along-track dimension, centered on the tangent point of <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mrow><mml:mi mathvariant="normal">l</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M73" display="inline"><mml:mi mathvariant="bold">A</mml:mi></mml:math></inline-formula> is the CAIRT averaging kernel matrix corresponding to the geolocation of that chunk. The term <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the a priori profile, and <inline-formula><mml:math id="M75" display="inline"><mml:mi mathvariant="bold">I</mml:mi></mml:math></inline-formula> is the identity matrix.</p>
      <p id="d2e1785">The perturbation <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">ϵ</mml:mi><mml:mi mathvariant="normal">rnd</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is obtained by multiplying a Gaussian random number field with the factorized random error covariance matrix. The profiles <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">ϵ</mml:mi><mml:mrow><mml:mi mathvariant="normal">sys</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">corr</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">ϵ</mml:mi><mml:mrow><mml:mi mathvariant="normal">sys</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mi mathvariant="normal">uncorr</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> represent the systematic error contributions, corresponding to the along-track correlated and uncorrelated components, respectively.</p>
      <p id="d2e1831">In our computation, <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> has been set to zero such that the regularization (Tikhonov first order) acts as a simple smoothing constraint without any influence of the a priori profile shape. Moreover, our computation of CAIRT L2 profiles does also store the different terms of Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) allowing to remove the contribution of some of them and test their impact in the OSSE (see Sect. <xref ref-type="sec" rid="Ch1.S7"/>).</p>
</sec>
<sec id="Ch1.S4.SS5.SSS2">
  <label>4.5.2</label><title>Cloud masking</title>
      <p id="d2e1857">The influence of clouds on the simulation of L2 profiles was also taken into account. Clouds can affect spectra and introduce artifacts that can significantly degrade the quality of the L2 products. Therefore, in infrared retrievals, spectra strongly affected by optically thick clouds are typically excluded prior to retrieval in order to avoid instabilities and errors in the retrieval of trace-gas concentrations.</p>
      <p id="d2e1860">CAIRT adopts a two-dimensional (2D, vertical <inline-formula><mml:math id="M80" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> ALT) tomographic retrieval approach. On the one hand, this allows information at a given location to be retrieved from multiple viewing directions. On the other hand, lines of sight with tangent points outside the cloud location may still intersect the cloud along their propagation path and therefore be affected by it.</p>
      <p id="d2e1870">The impact of thick clouds on the number of valid retrieval points has been studied by conducting 2D simulations of retrieval with a cloud in the line of sight. The cloud extends vertically from its top altitude to 5 km, and horizontally along the satellite track for 50 km, which corresponds to the along-track retrieval grid spacing. The procedure consisted of first removing all spectra whose lines of sight intersect the cloud volume, then computing the retrieval averaging kernels and identifying the grid points for which the diagonal elements of the averaging kernel fall below a specified threshold. This was repeated for clouds with different cloud-top heights.</p>
      <p id="d2e1873">Based on this analysis, a set of lookup-table masks was derived for different cloud-top altitudes and applied in the a posteriori filtering of L2 products. A scene is classified as cloudy when the cloud fraction from the CAMS dataset, interpolated at the corresponding L2 geolocation, exceeds 0.2. The L2 simulated profiles are thus filtered a posteriori using the masks derived from the cloud-impact analysis described above. This will be described in more details in <xref ref-type="bibr" rid="bib1.bibx21" id="text.37"/>.</p>
</sec>
<sec id="Ch1.S4.SS5.SSS3">
  <label>4.5.3</label><title>Superobservations</title>
      <p id="d2e1887">As previously mentioned, CAIRT will deliver substantially more profiles than existing limb instruments, e.g., approximately 12 times more than MLS. This number is too large to be handled directly by the BASCOE-EnKF system used in our OSSE. At each model time step, the system must invert a matrix whose size depends on the number of available observations multiplied by the ensemble size. With the default model time step of 30 min and an ensemble size of 20, this corresponds to a matrix with <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mn mathvariant="normal">6.6</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">5</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> points to invert (i.e., <inline-formula><mml:math id="M82" display="inline"><mml:mn mathvariant="normal">240</mml:mn></mml:math></inline-formula> acquisitions <inline-formula><mml:math id="M83" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 4 tracks <inline-formula><mml:math id="M84" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 35 altitude levels from 5 to 40 km <inline-formula><mml:math id="M85" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 20 ensemble members). This exceeds the computational capacity of the BIRA-IASB server.</p>
      <p id="d2e1933">Reducing the model time step to 7.5 min decreases the matrix size by a factor of 4, making the computation feasible. However, this configuration produces noisy analysis increments, degrading the quality of the assimilation. This is a well-known issue in data assimilation, for which one common solution is the construction of <italic>superobservations</italic> <xref ref-type="bibr" rid="bib1.bibx16 bib1.bibx24" id="paren.38"/>. In this approach, observations located within the same model grid cell at the same model time step are combined.</p>
      <p id="d2e1942">In our study, superobservations are computed as follows and illustrated in Fig. <xref ref-type="fig" rid="F4"/>. Let <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> being the longitude and latitude of <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">…</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula> L2 profiles available within a model time step and within the same model grid cell. Let <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the corresponding L2 observations and <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>e</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> the associated L2 uncertainties where <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mi>l</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">…</mml:mi><mml:mi>L</mml:mi></mml:mrow></mml:math></inline-formula> is the vertical level index. Let us define <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the number L2 profiles uncontaminated by cloud at level <inline-formula><mml:math id="M93" display="inline"><mml:mi>l</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>≤</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math></inline-formula>. For each level <inline-formula><mml:math id="M95" display="inline"><mml:mi>l</mml:mi></mml:math></inline-formula>, the L2 superobservation longitude <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, latitude <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>,  value <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and uncertainty <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are computed as follows:

                  <disp-formula specific-use="gather" content-type="numbered"><mml:math id="M100" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="normal">Λ</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:munderover><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E3"><mml:mtd><mml:mtext>3</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="normal">Φ</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:munderover><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi>s</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:munderover><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E5"><mml:mtd><mml:mtext>5</mml:mtext></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msqrt><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mi>M</mml:mi><mml:mi>l</mml:mi></mml:msub></mml:mrow></mml:munderover><mml:msubsup><mml:mi>e</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mi>l</mml:mi></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:msqrt></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e2318">Since only CAIRT L2 observations uncontaminated by clouds are included in this computation, the latitude and longitude of superobservations may vary with altitude.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e2324">Coloured dots represent CAIRT L2 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations at 14 km on 1 January 2022. Gray dots are CAIRT L2 observations obscured  by clouds when CAMS cloud fraction is greater than 0.2. The grid represents the BASCOE spatial resolution used in the control and assimilation runs. Superobservations will be the average values of valid CAIRT L2 observations within the same BASCOE grid point, located at the black crosses. Black dots would be the locations of superobservations if no cloud filtering were used.</p></caption>
            <graphic xlink:href="https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026-f04.png"/>

          </fig>

      <p id="d2e2344">If observation errors and correlations were perfectly represented, the use of individual observations or superobservations in data assimilation would produce identical analyses. In practice, however, superobservations reduce representativeness errors and mitigate the overweighting of dense, correlated data. As a result, the analyses typically differ slightly, often yielding smoother and more balanced fields <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx39" id="paren.39"/>.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Simulating MLS observations</title>
      <p id="d2e2362">The computation of MLS simulated profiles differs from that of CAIRT profiles in that some of the required data are already available. This includes the geolocation of MLS profiles, the a priori profiles, the L2 error profiles, and the vertical averaging kernels. The MLS geolocation, a priori profiles, and L2 error profiles are obtained from MLS v5 daily observation files, while the MLS v5 vertical averaging kernels are provided for five latitudes and are independent of time and longitude.</p>
      <p id="d2e2365">The CAMS nature run is interpolated onto the MLS retrieval grid using BASCOE-MAO, as for CAIRT (see Sect. <xref ref-type="sec" rid="Ch1.S4.SS5"/>, and is then perturbed to produce the L2 profiles <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mrow><mml:mi mathvariant="normal">l</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> as follows:

          <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M103" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mrow><mml:mi mathvariant="normal">l</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="bold">I</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="bold">A</mml:mi><mml:mo>)</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">ϵ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula>

        Here, <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mi mathvariant="normal">n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the nature run interpolated onto the MLS grid; <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes the existing MLS a priori profiles corresponding to the MLS geolocation; <inline-formula><mml:math id="M106" display="inline"><mml:mi mathvariant="bold">A</mml:mi></mml:math></inline-formula> is the MLS vertical averaging kernel matrix; and <inline-formula><mml:math id="M107" display="inline"><mml:mi mathvariant="bold">I</mml:mi></mml:math></inline-formula> is the identity matrix. Note that MLS along-track averaging kernels have not been taken into account. The perturbation profile <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">ϵ</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is a Gaussian random profile multiplied by the MLS L2 error profile provided in the MLS data files.</p>
      <p id="d2e2480">Simulated profiles are only assimilated within the vertical range of validity specified in <xref ref-type="bibr" rid="bib1.bibx29" id="text.40"/>. This report also defines criteria for accepting or discarding profiles based on the variables “estimated precision,” “quality,” “convergence,” and “status” provided in the MLS files. These criteria were used to flag entire profiles or portions of profiles, discarding measurements contaminated by clouds, particularly for <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (see discussion in the next section).</p>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>About Differences Between CAIRT and MLS</title>
      <p id="d2e2505">As previously mentioned, CAIRT will provide substantially higher sampling than MLS (or MIPAS) for <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M111" 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 UTLS, delivering approximately 12 times more profiles. This is illustrated in Figs. <xref ref-type="fig" rid="F5"/> and <xref ref-type="fig" rid="F6"/>e. Figure <xref ref-type="fig" rid="F6"/> compares various performance metrics for CAIRT and MLS: (a) random error, (b) systematic error, (c) vertical resolution, (d) horizontal resolution, and (e) number of available observations. For CAIRT performances discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS4"/>, the displayed values correspond to January in the tropics. This provides a conservative view of the CAIRT performances compared to other latitudes (not shown). MLS performances are taken from the MLS v5 data quality document and are generally independent of latitude and season, except for the number of observations <xref ref-type="bibr" rid="bib1.bibx29" id="paren.41"/>.</p>

      <fig id="F5"><label>Figure 5</label><caption><p id="d2e2546">Illustration of CAIRT sampling for <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M113" 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 UTLS compared to MLS and MIPAS. This is on 16 January 2022 for CAIRT and MLS, for the same day in 2011 for MIPAS.</p></caption>
        <graphic xlink:href="https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026-f05.png"/>

      </fig>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e2581">Performances of CAIRT (blue lines) and MLS (orange lines) for ozone (top line) and water vapour (bottom line). From left to right: random error, systematic error, vertical resolution, horizontal (along track) resolution and average number of valid observations for the period October 2021–February 2022. CAIRT performances are for January in the tropics. MLS performances do not depend on the latitude region or the season. While MLS data quality document provides 2<inline-formula><mml:math id="M114" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> systematic error, 1<inline-formula><mml:math id="M115" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> random and systematic error are given here for both instruments.</p></caption>
        <graphic xlink:href="https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026-f06.png"/>

      </fig>

      <p id="d2e2605">For <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, CAIRT and MLS exhibit comparable random errors, whereas for <inline-formula><mml:math id="M117" 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>, MLS shows slightly smaller (i.e., better) random errors (Fig. <xref ref-type="fig" rid="F6"/>a). For <inline-formula><mml:math id="M118" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, CAIRT systematic errors exceed 50 % below 7 km in the tropics; consequently, CAIRT <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> observations below this altitude have not been assimilated. The vertical resolutions of both instruments are comparable for <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, while MLS generally exhibits better vertical resolution in the stratosphere for <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> (Fig. <xref ref-type="fig" rid="F6"/>c). For both species, CAIRT achieves superior horizontal resolution (Fig. <xref ref-type="fig" rid="F6"/>d). The number of available observations for January is shown in Fig. <xref ref-type="fig" rid="F6"/>e; the decrease with decreasing altitude is due to the presence of clouds.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e2689">(Top panels) Ozone along the first complete CAIRT orbit on 15 December 2021 for track 2. The top line shows the CAMS nature run interpolated on the CAIRT orbit in the stratosphere (left, in ppmv) and the troposphere (right, in ppbv). The second line shows the CAIRT simulated L2 observations and the third lines the difference between L2 observations and the nature run (in %, normalized with the nature run). Gray areas denote observations obscured by clouds or rejected below 7 km due to a too-large systematic error. (Bottom panels) As top for MLS for the closest orbit to CAIRT on the same date. Here, invalid MLS data are indicated by the gray area.</p></caption>
        <graphic xlink:href="https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026-f07.png"/>

      </fig>

      <p id="d2e2698">Figure <xref ref-type="fig" rid="F7"/> compares CAMS ozone with the corresponding L2 simulated observations for CAIRT and MLS along an orbit on 15 December 2021. Note that CAIRT and MLS orbits differ in time and position; therefore, this comparison provides only a qualitative indication of their differences. In the stratosphere, CAIRT and MLS observations closely match the original CAMS data, whereas in the troposphere the agreement is weaker. In the tropics, a large portion of CAIRT data below 15 km is rejected due to clouds, whereas MLS is less affected. This difference arises from the measurement techniques, as microwave observations (MLS) are less sensitive to clouds than infrared (CAIRT). Conversely, CAIRT provides more valid observations than MLS at mid and high latitudes. Similar patterns are observed for <inline-formula><mml:math id="M122" 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> (see Fig. <xref ref-type="fig" rid="F8"/>).</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e2720">As Fig. 4 but for water vapour. Note the logarithmic colour bar in the troposphere.</p></caption>
        <graphic xlink:href="https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026-f08.png"/>

      </fig>

</sec>
<sec id="Ch1.S7">
  <label>7</label><title>Control and assimilation runs</title>
      <p id="d2e2737">Control and assimilation experiments were conducted with the BASCOE system <xref ref-type="bibr" rid="bib1.bibx10" id="paren.42"/>, driven by ERA5 winds and temperatures. The simulations employed a horizontal grid of 91 latitudes by 144 longitudes (approximately 250 km horizontal resolution) and 51 vertical levels, with a vertical resolution of about 1.2 km at 50 hPa, 1 km in the UTLS, and decreasing toward the surface. This spatial resolution is considerably coarser than that of the nature run (see Sect. <xref ref-type="sec" rid="Ch1.S3"/>).</p>
      <p id="d2e2745">In the stratosphere, BASCOE, similarly to CAMS, uses a linearized ozone chemistry scheme, although the two systems are constrained by different climatological data. In the troposphere, BASCOE applies the same linearized chemical formulation as in the stratosphere, whereas CAMS employs a comprehensive tropospheric chemistry scheme (see Sect. <xref ref-type="sec" rid="Ch1.S3"/>).</p>
      <p id="d2e2750">For the experiments presented in this study, BASCOE does not account for any chemical processes involving water vapour. To prevent an unrealistic transport of tropospheric water vapour into the stratosphere, condensation is approximated by limiting the water vapour partial pressure to the saturation vapour pressure of water ice <xref ref-type="bibr" rid="bib1.bibx33" id="paren.43"/>. Consequently, the BASCOE and CAMS configurations and simulations exhibit substantial differences in their treatment of both <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M124" 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>.</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e2784">Summary of model simulations and data assimilation experiments used in this study.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="4">
     <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:thead>
       <oasis:row>
         <oasis:entry colname="col1">Label</oasis:entry>
         <oasis:entry colname="col2">Model</oasis:entry>
         <oasis:entry colname="col3">Model resolution</oasis:entry>
         <oasis:entry colname="col4">Assimilated observations</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M125" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>lat <inline-formula><mml:math id="M126" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M127" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>lon <inline-formula><mml:math id="M128" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M129" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>lev)</oasis:entry>
         <oasis:entry colname="col4"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">NR</oasis:entry>
         <oasis:entry colname="col2">IFS-COMPO 47r3</oasis:entry>
         <oasis:entry colname="col3">512 <inline-formula><mml:math id="M130" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1024 <inline-formula><mml:math id="M131" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 137</oasis:entry>
         <oasis:entry colname="col4">Meteorological observations</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">CR</oasis:entry>
         <oasis:entry colname="col2">BASCOE-CTM</oasis:entry>
         <oasis:entry colname="col3">91 <inline-formula><mml:math id="M132" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 144 <inline-formula><mml:math id="M133" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 51</oasis:entry>
         <oasis:entry colname="col4">None</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">AR<sub>MLS</sub></oasis:entry>
         <oasis:entry colname="col2">BASCOE-EnKF</oasis:entry>
         <oasis:entry colname="col3">91 <inline-formula><mml:math id="M135" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 144 <inline-formula><mml:math id="M136" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 51</oasis:entry>
         <oasis:entry colname="col4">Simulated MLS L2 profiles</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AR<sub>CAIRT</sub></oasis:entry>
         <oasis:entry colname="col2">BASCOE-EnKF</oasis:entry>
         <oasis:entry colname="col3">91 <inline-formula><mml:math id="M138" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 144 <inline-formula><mml:math id="M139" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 51</oasis:entry>
         <oasis:entry colname="col4">Simulated CAIRT L2 superobservation profiles based</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">on CAIRT L2 400 km swath</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">AR<sub>C300km</sub></oasis:entry>
         <oasis:entry colname="col2">BASCOE-EnKF</oasis:entry>
         <oasis:entry colname="col3">91 <inline-formula><mml:math id="M141" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 144 <inline-formula><mml:math id="M142" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 51</oasis:entry>
         <oasis:entry colname="col4">As in AR<sub>CAIRT</sub> but based on CAIRT L2 300 km swath</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">AR<sub>Cnosys</sub></oasis:entry>
         <oasis:entry colname="col2">BASCOE-EnKF</oasis:entry>
         <oasis:entry colname="col3">91 <inline-formula><mml:math id="M145" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 144 <inline-formula><mml:math id="M146" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 51</oasis:entry>
         <oasis:entry colname="col4">As in AR<sub>CAIRT</sub> without systematic error</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AR<sub>Cnocloud</sub></oasis:entry>
         <oasis:entry colname="col2">BASCOE-EnKF</oasis:entry>
         <oasis:entry colname="col3">91 <inline-formula><mml:math id="M149" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 144 <inline-formula><mml:math id="M150" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 51</oasis:entry>
         <oasis:entry colname="col4">As in AR<sub>Cnosys</sub> without cloud filtering</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3157">Six BASCOE experiments were performed, as summarized in Table <xref ref-type="table" rid="T3"/>. The first is a control run (CR) using the BASCOE Chemistry Transport Model (CTM) without data assimilation. The five other experiments are all assimilation runs using the BASCOE Ensemble Kalman Filter (ENKF). The first assimilation run is constrained by the simulated MLS profiles (AR<sub>MLS</sub>). The additional assimilation runs were conducted using different simulations of CAIRT superobservation profiles. One experiment assumes a 400 km swath (AR<sub>CAIRT</sub>), which corresponds to the default CAIRT configuration adopted during the Phase A study, another experiment assumes a 300 km swath (AR<sub>C300km</sub>), representing the threshold value for CAIRT swath. Since the simulated MLS profiles do not include any systematic error, an additional assimilation run was performed with CAIRT simulated superobservation profiles with a 400 km swath where the contribution of systematic errors in the L2 profiles was excluded. Finally, to assess the potential impact of clouds, a fifth assimilation run (AR<sub>Cnocloud</sub>) was carried out using the simulated CAIRT superobservation profiles with a 400 km swath, excluding the contribution of systematic error and cloud filtering.</p>
      <p id="d2e3203">The control run was initialized from the nature run on 15 August 2021, whereas all assimilation runs were initialized on 15 September 2021 from the control run. All simulations are evaluated against the nature run for the period from October 2021 to February 2022, allowing for a 15 d spin-up period for each assimilation experiment.</p>
</sec>
<sec id="Ch1.S8">
  <label>8</label><title>Results</title>
      <p id="d2e3214">CAIRT data help to improve the representation of ozone and water vapour, as illustrated in Fig. <xref ref-type="fig" rid="F9"/>. The ozone distribution is shown at 7 km during a tropopause fold event above Europe, which is well represented by both the AR<sub>CAIRT</sub> and AR<sub>MLS</sub> assimilation runs, effectively correcting the bias present in the control run. One can also see the strong constraint provided by CAIRT observations, which substantially – though not completely – reduces the negative bias of the control run outside the tropopause fold region, and to a greater extent than MLS data. Similarly, CAIRT observations also provide a significant constraint, comparable to that of MLS, in the representation of water vapour at 12 km.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e3239"><bold>(a–d)</bold> Ozone distribution [ppbv] at 7 km of altitude on 3 December 2021 at 0 UT for (from left to right) the reference nature run (NR), the control run (CR), the MLS assimilation run (AR<sub>MLS</sub>) and the CAIRT assimilation run (AR<sub>CAIRT</sub>). <bold>(e–h)</bold> As top but for H<sub>2</sub>O at 12 km of altitude.</p></caption>
        <graphic xlink:href="https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026-f09.png"/>

      </fig>

<sec id="Ch1.S8.SS1">
  <label>8.1</label><title>Ozone</title>
      <p id="d2e3287">Figure <xref ref-type="fig" rid="F10"/> shows the statistical differences between the nature run and the various BASCOE runs for the period October 2021–February 2022 (five months), as a function of latitude and altitude for ozone. The statistics displayed are the normalized mean bias (NMB) between NR and {CR,AR}, the associated normalized standard deviation (NSD), and the correlation coefficient between NR and {CR,AR}. NMB and NSD use the mean values of NR for normalization. Before computing these statistics, the nature run was downgraded to the spatial resolution of the BASCOE runs. Table <xref ref-type="table" rid="T4"/> provides the values of NMB, NSD and the correlations for all the experiments in three atmospheric regions: the lower stratosphere, the tropical upper troposphere and the extra-tropical upper troposphere.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e3296">(Left column) Zonal mean of the mean bias (NR-{CR,AR}) normalized by the mean of NR (NMB, in %) for ozone and the period October 2021–February 2022. Each line corresponds to a different BASCOE experiment labelled at the right. (Middle column) The zonal mean of the associated normalized standard deviation (NSD, in %) of the differences shown in the left column. (Right column) The correlation between the nature run and the BASCOE runs.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026-f10.png"/>

        </fig>

<table-wrap id="T4" specific-use="star"><label>Table 4</label><caption><p id="d2e3308">Mean values of the NMB (%), NSD (%) and CORR for <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in three atmospheric regions of Fig. <xref ref-type="fig" rid="F10"/>: (1) the lower stratosphere defined by altitude between 18 and 20 km at all latitudes, (2) the tropical upper troposphere defined by altitude between 7 and 12 km and latitudes between <inline-formula><mml:math id="M162" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>20°, and (3) in the extra-tropical upper troposphere defined by altitude between 7 and 12 km and latitudes poleward <inline-formula><mml:math id="M163" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>30°.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Label</oasis:entry>
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">Lower Strato. </oasis:entry>
         <oasis:entry namest="col5" nameend="col7" align="center" colsep="1">Tropical Upper Tropo. </oasis:entry>
         <oasis:entry namest="col8" nameend="col10" align="center">Ex.-Tropical Upper </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1"/>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center" colsep="1"/>
         <oasis:entry rowsep="1" namest="col8" nameend="col10" align="center">Tropo. </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">NMB</oasis:entry>
         <oasis:entry colname="col3">NSD</oasis:entry>
         <oasis:entry colname="col4">CORR</oasis:entry>
         <oasis:entry colname="col5">NMB</oasis:entry>
         <oasis:entry colname="col6">NSD</oasis:entry>
         <oasis:entry colname="col7">CORR</oasis:entry>
         <oasis:entry colname="col8">NMB</oasis:entry>
         <oasis:entry colname="col9">NSD</oasis:entry>
         <oasis:entry colname="col10">CORR</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">CR</oasis:entry>
         <oasis:entry colname="col2">14.6</oasis:entry>
         <oasis:entry colname="col3">18.8</oasis:entry>
         <oasis:entry colname="col4">0.74</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M164" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>91.1</oasis:entry>
         <oasis:entry colname="col6">23.3</oasis:entry>
         <oasis:entry colname="col7">0.38</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M165" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>26.5</oasis:entry>
         <oasis:entry colname="col9">27.9</oasis:entry>
         <oasis:entry colname="col10">0.73</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AR<sub>MLS</sub></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M167" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5</oasis:entry>
         <oasis:entry colname="col3">10.9</oasis:entry>
         <oasis:entry colname="col4">0.84</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M168" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>37.8</oasis:entry>
         <oasis:entry colname="col6">24.9</oasis:entry>
         <oasis:entry colname="col7">0.69</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M169" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.5</oasis:entry>
         <oasis:entry colname="col9">18.5</oasis:entry>
         <oasis:entry colname="col10">0.81</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AR<sub>CAIRT</sub></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M171" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.8</oasis:entry>
         <oasis:entry colname="col3">9.7</oasis:entry>
         <oasis:entry colname="col4">0.87</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M172" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.3</oasis:entry>
         <oasis:entry colname="col6">21.2</oasis:entry>
         <oasis:entry colname="col7">0.74</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M173" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.3</oasis:entry>
         <oasis:entry colname="col9">17.0</oasis:entry>
         <oasis:entry colname="col10">0.83</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AR<sub>Cnosys</sub></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M175" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.7</oasis:entry>
         <oasis:entry colname="col3">9.6</oasis:entry>
         <oasis:entry colname="col4">0.87</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M176" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.8</oasis:entry>
         <oasis:entry colname="col6">20.9</oasis:entry>
         <oasis:entry colname="col7">0.75</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M177" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3</oasis:entry>
         <oasis:entry colname="col9">16.9</oasis:entry>
         <oasis:entry colname="col10">0.83</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AR<sub>Cnocloud</sub></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M179" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.6</oasis:entry>
         <oasis:entry colname="col3">9.7</oasis:entry>
         <oasis:entry colname="col4">0.87</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M180" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.9</oasis:entry>
         <oasis:entry colname="col6">17.6</oasis:entry>
         <oasis:entry colname="col7">0.78</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M181" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5</oasis:entry>
         <oasis:entry colname="col9">16.8</oasis:entry>
         <oasis:entry colname="col10">0.84</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AR<sub>C3tracks</sub></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M183" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.9</oasis:entry>
         <oasis:entry colname="col3">9.7</oasis:entry>
         <oasis:entry colname="col4">0.86</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M184" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.8</oasis:entry>
         <oasis:entry colname="col6">21.4</oasis:entry>
         <oasis:entry colname="col7">0.74</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M185" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.5</oasis:entry>
         <oasis:entry colname="col9">17.1</oasis:entry>
         <oasis:entry colname="col10">0.83</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3784">As shown in Fig. <xref ref-type="fig" rid="F10"/>, there are large differences between the control and nature runs: the BASCOE ozone chemistry predicts lower ozone concentrations in the stratosphere and higher ozone in the troposphere. Assimilating MLS data enables the BASCOE system to largely remove the ozone bias in the stratosphere and the tropopause region, accompanied by a strong reduction in the standard deviation and a significant increase in correlation compared to the control run. In the troposphere, while a large part of the control run bias is eliminated and the correlation with the nature run increases, a residual bias of about <inline-formula><mml:math id="M186" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>38 % remains in the tropical upper troposphere (see Table <xref ref-type="table" rid="T4"/>).</p>
      <p id="d2e3798">The situation improves markedly when CAIRT observations are assimilated. The bias in the tropical upper troposphere decreases to <inline-formula><mml:math id="M187" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13 %, representing a clear improvement compared to MLS. The standard deviation of the differences and the correlation coefficients are also slightly improved when assimilating CAIRT rather than MLS data.</p>
      <p id="d2e3808">Since the simulation of MLS data does not include systematic error, an additional assimilation run using CAIRT simulated data without the contribution of systematic error was performed to ensure a fair comparison between both instruments. This configuration shows a substantial improvement in the bias in the tropical upper troposphere (<inline-formula><mml:math id="M188" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>10 %) compared to AR<sub>CAIRT</sub>, with the remaining bias mainly attributable to data scarcity and random error. When the cloud mask is disabled – thus including all profiles, even those excluded by clouds – and excluding the systematic error, the bias further decreases to <inline-formula><mml:math id="M190" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 %, as shown by experiment AR<sub>Cnocloud</sub>. Finally, reducing the swath width to 300 km does not significantly affect CAIRT's capability to observe ozone in the UTLS (see experiment AR<sub>C300km</sub> in Fig. <xref ref-type="fig" rid="F10"/> and Table <xref ref-type="table" rid="T4"/>).</p>
      <p id="d2e3862">These results confirm the capability of CAIRT to provide valuable ozone information from the stratosphere down to about 7 km in the upper troposphere.</p>

<table-wrap id="T5" specific-use="star"><label>Table 5</label><caption><p id="d2e3868">As Table <xref ref-type="table" rid="T4"/> but for <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> where the troposphere differs in the altitude definition: the tropical upper troposphere altitude is defined between 10 and 16 km while the extra-tropical upper troposphere is defined between 8 and 14 km.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Label</oasis:entry>
         <oasis:entry namest="col2" nameend="col4" align="center" colsep="1">Lower Strato. </oasis:entry>
         <oasis:entry namest="col5" nameend="col7" align="center" colsep="1">Tropical Upper Tropo. </oasis:entry>
         <oasis:entry namest="col8" nameend="col10" align="center">Ex.-Tropical Upper </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1"/>
         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center" colsep="1"/>
         <oasis:entry rowsep="1" namest="col8" nameend="col10" align="center">Tropo. </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">NMB</oasis:entry>
         <oasis:entry colname="col3">NSD</oasis:entry>
         <oasis:entry colname="col4">CORR</oasis:entry>
         <oasis:entry colname="col5">NMB</oasis:entry>
         <oasis:entry colname="col6">NSD</oasis:entry>
         <oasis:entry colname="col7">CORR</oasis:entry>
         <oasis:entry colname="col8">NMB</oasis:entry>
         <oasis:entry colname="col9">NSD</oasis:entry>
         <oasis:entry colname="col10">CORR</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">CR</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M194" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>18.6</oasis:entry>
         <oasis:entry colname="col3">6.7</oasis:entry>
         <oasis:entry colname="col4">0.71</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M195" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>68.5</oasis:entry>
         <oasis:entry colname="col6">56.3</oasis:entry>
         <oasis:entry colname="col7">0.52</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M196" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>40.5</oasis:entry>
         <oasis:entry colname="col9">54.4</oasis:entry>
         <oasis:entry colname="col10">0.63</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AR<sub>MLS</sub></oasis:entry>
         <oasis:entry colname="col2">0.2</oasis:entry>
         <oasis:entry colname="col3">4.7</oasis:entry>
         <oasis:entry colname="col4">0.77</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M198" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>36.4</oasis:entry>
         <oasis:entry colname="col6">48.4</oasis:entry>
         <oasis:entry colname="col7">0.62</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M199" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>26.4</oasis:entry>
         <oasis:entry colname="col9">43.8</oasis:entry>
         <oasis:entry colname="col10">0.76</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AR<sub>CAIRT</sub></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M201" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.4</oasis:entry>
         <oasis:entry colname="col3">4.8</oasis:entry>
         <oasis:entry colname="col4">0.77</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M202" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31.0</oasis:entry>
         <oasis:entry colname="col6">49.0</oasis:entry>
         <oasis:entry colname="col7">0.61</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M203" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>23.5</oasis:entry>
         <oasis:entry colname="col9">44.9</oasis:entry>
         <oasis:entry colname="col10">0.79</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AR<sub>Cnosys</sub></oasis:entry>
         <oasis:entry colname="col2">0.6</oasis:entry>
         <oasis:entry colname="col3">4.8</oasis:entry>
         <oasis:entry colname="col4">0.77</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M205" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31.4</oasis:entry>
         <oasis:entry colname="col6">49.0</oasis:entry>
         <oasis:entry colname="col7">0.61</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M206" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.1</oasis:entry>
         <oasis:entry colname="col9">44.9</oasis:entry>
         <oasis:entry colname="col10">0.79</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AR<sub>Cnocloud</sub></oasis:entry>
         <oasis:entry colname="col2">0.6</oasis:entry>
         <oasis:entry colname="col3">4.8</oasis:entry>
         <oasis:entry colname="col4">0.77</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M208" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.4</oasis:entry>
         <oasis:entry colname="col6">47.4</oasis:entry>
         <oasis:entry colname="col7">0.64</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M209" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22.2</oasis:entry>
         <oasis:entry colname="col9">44.4</oasis:entry>
         <oasis:entry colname="col10">0.79</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AR<sub>C3tracks</sub></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M211" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.4</oasis:entry>
         <oasis:entry colname="col3">4.8</oasis:entry>
         <oasis:entry colname="col4">0.77</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M212" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>32.2</oasis:entry>
         <oasis:entry colname="col6">49.5</oasis:entry>
         <oasis:entry colname="col7">0.60</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M213" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>24.4</oasis:entry>
         <oasis:entry colname="col9">45.4</oasis:entry>
         <oasis:entry colname="col10">0.78</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S8.SS2">
  <label>8.2</label><title>Water vapour</title>
      <p id="d2e4328">Figure <xref ref-type="fig" rid="F11"/> and Table <xref ref-type="table" rid="T5"/> shows the statistical differences between the nature run and the other BASCOE runs, this time for water vapour. As for ozone, large discrepancies are observed between NR and CR. The improvements due to data assimilation are comparable in the lower stratosphere for all assimilated datasets: the bias is almost completely eliminated, and the standard deviation and the correlation are substantially enhanced. In the tropical and extra-tropical upper troposphere, all assimilation experiments show a reduction in bias and standard deviation, and a larger correlation, than the control run. Nevertheless, the biases are still significant (e.g. <inline-formula><mml:math id="M214" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>36 % for AR<sub>MLS</sub> and <inline-formula><mml:math id="M216" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>31 % for AR<sub>CAIRT</sub> in the tropics), the standard deviation larger than around 45 %, and correlation remains lower than 0.8 in the tropics. AR<sub>CAIRT</sub> displays a lower bias than AR<sub>MLS</sub> it the tropical and extra-tropical upper troposphere by a few %, both experiments providing comparable standard deviation and correlations. The results of experiments AR<sub>Cnosys</sub> agree very well with those of AR<sub>CAIRT</sub> indicating that the systematic error does not have a large impact on CAIRT <inline-formula><mml:math id="M222" 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> profiles. Comparing the results between AR<sub>Cnocloud</sub> and AR<sub>CAIRT</sub> indicate that the 7 % of negative bias in the tropical upper troposphere is due to the presence of clouds. As for ozone, reducing the CAIRT swath to 300 km does not noticeably reduce the constraint of CAIRT on the BASCOE system.</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e4438">As Fig. <xref ref-type="fig" rid="F10"/> but for water vapour.</p></caption>
          <graphic xlink:href="https://amt.copernicus.org/articles/19/2601/2026/amt-19-2601-2026-f11.png"/>

        </fig>

      <p id="d2e4449">Compared to ozone, the constraint of CAIRT water vapour observations on the BASCOE system is weaker in the troposphere. This is likely due to the limited representation of water vapour physical processes in BASCOE. The condensation scheme implemented in BASCOE successfully produces a dry tropopause but removes too much water vapour in the mid-troposphere, resulting in a dry bias across all BASCOE experiments. Nevertheless, the primary objective of CAIRT water vapour profiles is to reduce the temperature bias in the UTLS in NWP systems, thereby improving forecast quality. In the troposphere, NWP systems already benefit from humidity observations provided by nadir-viewing satellite instruments and radiosondes.</p>
</sec>
</sec>
<sec id="Ch1.S9" sec-type="conclusions">
  <label>9</label><title>Conclusions</title>
      <p id="d2e4461">This study evaluated the added value of ozone and water vapour profiles from the proposed satellite limb instrument CAIRT, designed to observe the temperature and composition of the middle atmosphere. The evaluation was conducted through an Observing System Simulation Experiment (OSSE) using an IFS model simulation as the nature run and the BASCOE system to perform the control and assimilation runs. CAIRT observations were simulated through a comprehensive processing chain starting from the IFS model fields as the synthetic truth, and accounting for CAIRT's orbit, geographical coverage, cloud contamination, spatial and spectral resolution, error budget, and superobservation strategy. For comparison, MLS profiles of ozone and water vapour were also simulated from the same IFS synthetic truth and assimilated by BASCOE, to assess the relative added value of CAIRT against an existing limb sounder.</p>
      <p id="d2e4464">For ozone, the OSSE results show that CAIRT can provide valuable information down to the mid-troposphere. Compared with the nature run, the BASCOE control run exhibits a positive bias above the tropopause and a negative bias in the troposphere exceeding <inline-formula><mml:math id="M225" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>50 %. Assimilating either MLS or CAIRT observations reduces the bias to within <inline-formula><mml:math id="M226" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>2 % in the lower stratosphere.</p>
      <p id="d2e4481">In the troposphere, MLS assimilation significantly reduces the control run bias, but a notable residual remains (<inline-formula><mml:math id="M227" display="inline"><mml:mi mathvariant="normal">−</mml:mi></mml:math></inline-formula>5 % in the extra-tropics to more than <inline-formula><mml:math id="M228" display="inline"><mml:mi mathvariant="normal">−</mml:mi></mml:math></inline-formula>35 % in the tropical lower troposphere). CAIRT data provide a stronger constraint, reducing the bias below <inline-formula><mml:math id="M229" display="inline"><mml:mi mathvariant="normal">−</mml:mi></mml:math></inline-formula>5 % in the extra-tropics and below <inline-formula><mml:math id="M230" display="inline"><mml:mi mathvariant="normal">−</mml:mi></mml:math></inline-formula>15 % in the tropics. Additional runs indicate that the remaining bias in the tropical troposphere is due to the presence of cloud. Furthermore, reducing the CAIRT swath from 400 to 300 km has little impact, suggesting that a narrower swath could be implemented if required by technical constraints without significant loss of performance.</p>
      <p id="d2e4512">For water vapour, CAIRT and MLS provide useful information in the lower stratosphere, reducing the bias and standard deviation to un-significant values. In the upper troposphere, while the bias and standard deviation remains significant (e.g. larger biases than <inline-formula><mml:math id="M231" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 % for both instruments in the tropics), the improvement against the control run is large in all statistical indicator. As for <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, reducing the swath to 300 km does not significantly affect CAIRT's ability to constrain the UTLS. Overall, these results indicate that CAIRT could deliver high-quality water vapour profiles suitable for constraining the UTLS region providing invaluable data to improve NWP systems.</p>
      <p id="d2e4534">This OSSE therefore demonstrates that CAIRT data are capable of meeting the mission's scientific objectives in the UTLS, particularly by improving the characterization of vertical gradients and small-scale structures of ozone and water vapour across the tropopause. Such capabilities directly support CAIRT's overarching goal of advancing our understanding of the coupling between atmospheric composition, circulation, and climate.</p>
</sec>

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

      <p id="d2e4541">CAMS control simulation can be retrieved from the ECMWF MARS archiving system using the following parameters: class=rd, stream=oper, expver=hlqd, type=fc, time=00:00:00, step=3/6/9/12/15/18/21/24, levtype=ml, levelist=all, param=z/t/q/o3/cc/lnsp, grid=F256. Please note that an ECMWF account is required to access this data set.</p>

      <p id="d2e4544">CAIRT orbit file is available here: <ext-link xlink:href="https://doi.org/10.5281/zenodo.10262729" ext-link-type="DOI">10.5281/zenodo.10262729</ext-link> <xref ref-type="bibr" rid="bib1.bibx36" id="paren.44"/>.</p>

      <p id="d2e4553">Simulating the CAIRT L2 grid is done using CAIRT orbit file and the the CAIRT grid simulator python code sim_CAIRT_grid.py v1.0.0 maintained at the Jülich git repository (<uri>https://jugit.fz-juelich.de/cairt-scirec/sim_CAIRT_grid</uri>, last access: 9 April 2026).</p>

      <p id="d2e4559">The CAMS interpolated product on the CAIRT grid are archived at BIRA-IASB and can be obtained by emailing to quentin.errera@aeronomie.be.</p>

      <p id="d2e4562">The simulated CAIRT L2 observations of ozone and water vapour are archived at BIRA-IASB and can be obtained by emailing to quentin.errera@aeronomie.be. They are simulated using the CAMS interpolated product on the CAIRT grid files and the CAIRT L2 simulator. This code and its configuration files are maintained at the Jülich github repository (<uri>https://jugit.fz-juelich.de/cairt-scirec/cairt_fl2s</uri>, last access: 9 April 2026).</p>

      <p id="d2e4569">MLS v5 daily observation files can be downloaded here: <uri>https://mls.jpl.nasa.gov/eos-aura-mls/data.php</uri>, last access: 9 April 2026.</p>

      <p id="d2e4575">BASCOE outputs may be available by emailing to quentin.errera@aeronomie.be.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e4582">QE conducted the study: downloading the CAMS data, producing the simulations of CAIRT and MLS data, running the BASCOE experiments, generating the figures, coordinating the writing of the manuscript, and writing most sections. BMS and AH contributed to Sects. 1 and 2. JF supported QE in writing Sect. <xref ref-type="sec" rid="Ch1.S3"/>. GP simulated the CAIRT orbit and wrote Sect. <xref ref-type="sec" rid="Ch1.S4.SS1"/>. JU and DP contributed to the code used to simulate the CAIRT L2 grid and to writing Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>. MH performed the spectra/Jacobian calculations, developed the instrument simulator and contributed to the writing of Sect. <xref ref-type="sec" rid="Ch1.S4.SS4"/>. BF, with the support of SF, developed the L2 performance estimation and profile-simulation algorithms and generated the L2 performance files. BF contributed to the writing of Sect. <xref ref-type="sec" rid="Ch1.S4.SS5"/>. PR developed the cloud-masking code and contributed to the writing of Sect. <xref ref-type="sec" rid="Ch1.S4.SS5"/>. NL supported QE in the simulation of MLS data. MO supported QE in the analysis of the results. All authors reviewed the full manuscript and approved it prior to submission.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e4601">At least one of the (co-)authors is a member of the editorial board of <italic>Atmospheric Measurement Techniques</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e4610">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e4616">During the preparation of this work the author(s) used ChatGPT in order to revised the wording the manuscript. After, the author(s) reviewed and edited the content as needed and take(s) full responsibility for the content of the publication.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e4621">This work was supported by ESA via the CAIRT Performance and Requirement Consolidation study (PerReC) under the ESA/ESTEC contract 4000136480/21/NL/LF CCN1. Work at the Jet Propulsion Laboratory, California Institute of Technology, was performed under contract with the National Aeronautics and Space Administration (grant no. 80NM0018D0004).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e4627">This paper was edited by Zhao-Cheng Zeng and reviewed by two anonymous referees.</p>
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