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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-26-4359-2026</article-id><title-group><article-title>The lapse rate and the cold point tropopause in the Asian Summer Monsoon anticyclone</article-title><alt-title>Tropopause and Monsoon</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Müller</surname><given-names>Rolf</given-names></name>
          <email>ro.mueller@fz-juelich.de</email>
        <ext-link>https://orcid.org/0000-0002-5024-9977</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Vogel</surname><given-names>Bärbel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9763-3055</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Krämer</surname><given-names>Martina</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2888-1722</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rolf</surname><given-names>Christian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5329-0054</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Spelten</surname><given-names>Nicole</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Ravegnani</surname><given-names>Fabrizio</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0735-9297</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Climate and Energy Systems (ICE-4), Forschungszentrum Jülich, 52425 Jülich, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>National Research Council – Institute for Atmospheric Sciences and Climate (ISAC-CNR), 40129 Bologna, Italy</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Rolf Müller (ro.mueller@fz-juelich.de)</corresp></author-notes><pub-date><day>27</day><month>March</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>6</issue>
      <fpage>4359</fpage><lpage>4376</lpage>
      <history>
        <date date-type="received"><day>26</day><month>November</month><year>2025</year></date>
           <date date-type="rev-request"><day>17</day><month>December</month><year>2025</year></date>
           <date date-type="rev-recd"><day>8</day><month>February</month><year>2026</year></date>
           <date date-type="accepted"><day>28</day><month>February</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Rolf Müller 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://acp.copernicus.org/articles/26/4359/2026/acp-26-4359-2026.html">This article is available from https://acp.copernicus.org/articles/26/4359/2026/acp-26-4359-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/4359/2026/acp-26-4359-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/4359/2026/acp-26-4359-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e135">Tropospheric and stratospheric airmasses are separated by the tropopause. Here we investigate the lapse rate tropopause and the cold point tropopause in the Asian summer monsoon anticyclone (ASMA) based on high-altitude airborne measurements in summer 2017. We find that the lapse rate tropopause, and not the cold point, constitutes a good estimate of the upper boundary of the well mixed tropospheric air for many species. There is slow, diabatic, upward transport in the vicinity of the lapse rate tropopause and above. The cold point is located on average about 1 km above the lapse rate tropopause and is about 3 K colder (pressure lower by about 12 hPa). The cold point is in particular important for water vapour. Above the cold point in the ASMA molar water vapour mixing ratios (including hydration patches) range between <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> and 10 ppm. In the observations, no indication of substantial dehydration above the cold point was found. Ozone mixing ratios increase substantially with altitude; between the lapse rate and the cold point tropopause molar ozone mixing ratios are in the range of 50–200 ppb. For strong convection (flight on 10 August 2017) there is substantial dehydration at the cold point tropopause (indicated by high values of total water, ice particle occurrence, and strong supersaturation). Above the cold point, under such conditions, neither ice particle occurrence, nor enhanced molar mixing ratios of water vapour (above about 6 ppm) are observed.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e157">In the tropics, atmospheric composition in general and the temperature profile in particular are rather different above and below the tropopause <xref ref-type="bibr" rid="bib1.bibx30 bib1.bibx63 bib1.bibx55 bib1.bibx9 bib1.bibx53 bib1.bibx54 bib1.bibx38" id="paren.1"><named-content content-type="pre">e.g.,</named-content></xref>. Below the tropical tropopause the atmosphere is of tropospheric nature and is vertically strongly mixed, above the tropopause the air is more of stratospheric nature; in particular the air shows lower mixing ratios of water vapour and higher mixing ratios of ozone <xref ref-type="bibr" rid="bib1.bibx31" id="paren.2"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e170">The tropopause is classically defined by the atmospheric lapse rate <xref ref-type="bibr" rid="bib1.bibx95" id="paren.3"/> (i.e., the location of a significant change in the atmospheric temperature lapse rate); the lapse rate tropopause is also referred to as the thermal tropopause. Overshoots of convection across the lapse rate tropopause occur <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx13" id="paren.4"><named-content content-type="pre">e.g.,</named-content></xref>, in particular in the monsoon regions. This leads to transport of water vapour across the tropopause into the lowermost stratosphere. The transport of water vapour into the lowermost stratosphere and the abundance of water vapour in the lower stratosphere are important for tropospheric climate and dynamics; processes in this regard are often not well simulated in models <xref ref-type="bibr" rid="bib1.bibx78 bib1.bibx12 bib1.bibx58" id="paren.5"/>. Lower stratospheric water vapour is a key radiative agent in the Earth's climate system; in particular, the regional Pacific moist bias in stratospheric models can be reduced through a Lagrangian transport scheme, which could be important for improving the simulation of regional circulation systems in the Asian monsoon region <xref ref-type="bibr" rid="bib1.bibx58" id="paren.6"/>.</p>
      <p id="d2e187">The tropopause as the separation between the troposphere and the stratosphere is a notion that has long been established <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx4 bib1.bibx8 bib1.bibx28" id="paren.7"><named-content content-type="pre">e.g.,</named-content></xref>. However, the tropopause is still a topic of current research <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx53 bib1.bibx54 bib1.bibx45 bib1.bibx27 bib1.bibx81 bib1.bibx99 bib1.bibx97 bib1.bibx85 bib1.bibx62 bib1.bibx6 bib1.bibx64" id="paren.8"><named-content content-type="pre">e.g.,</named-content></xref>. There are different ways to determine the location of the tropopause <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx88 bib1.bibx28 bib1.bibx40 bib1.bibx45 bib1.bibx54 bib1.bibx85 bib1.bibx62 bib1.bibx6" id="paren.9"><named-content content-type="pre">e.g.,</named-content></xref>. There are also variations over long time scales (decades) of tropopause height and temperature <xref ref-type="bibr" rid="bib1.bibx99" id="paren.10"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e210">The role of the ASMA in transport across the tropopause has been discussed since many years and relevant things have been discovered. Already early model studies predicted the role of the ASMA in the entry of water vapour into the stratosphere <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx4" id="paren.11"/>. <xref ref-type="bibr" rid="bib1.bibx68" id="text.12"/> and <xref ref-type="bibr" rid="bib1.bibx15" id="text.13"/> showed early evidence for the large-scale transport of moist air across the subtropical jet stream in association with upper level monsoon anticyclones. And exchange between the upper tropical troposphere and the lower stratosphere (and vice versa) was investigated in aircraft observations of water, ozone, wind, and temperature in the potential temperature range of <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">360</mml:mn></mml:mrow></mml:math></inline-formula> to 420 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> potential temperature <xref ref-type="bibr" rid="bib1.bibx83 bib1.bibx84" id="paren.14"/>.</p>
      <p id="d2e245">The tropical tropopause is observed <xref ref-type="bibr" rid="bib1.bibx83" id="paren.15"><named-content content-type="post">see also Table <xref ref-type="table" rid="T1"/></named-content></xref> at potential temperature values greater than the maximum moist static surface energies <xref ref-type="bibr" rid="bib1.bibx83" id="paren.16"><named-content content-type="pre">about 355 K,</named-content></xref> indicating that adiabatic transport of potentially warm air from the midlatitude stratosphere to the tropics occurs <xref ref-type="bibr" rid="bib1.bibx83" id="paren.17"/>. Here potential temperature <inline-formula><mml:math id="M4" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> is defined as

          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M5" display="block"><mml:mrow><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>=</mml:mo><mml:mi>T</mml:mi><mml:mo>⋅</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow><mml:mi>p</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mi mathvariant="italic">κ</mml:mi></mml:msup></mml:mrow></mml:math></disp-formula>

        with <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:mo>=</mml:mo><mml:mi>R</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M7" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the gas constant for dry air, <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the specific heat capacity at constant pressure, and <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is a reference pressure (1000 hPa for the calculations reported here).</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e349">Overview of the StratoClim science flights 2017 from Kathmandu. Shown is information on the lapse rate (LR) and the cold point (CP) tropopause for selected parts of the flight (i.e. the first three hours of the flight; except F1, 1.9–3 h of the flight and F7, 1–2.5 h of the flight – in other words vertical profiles crossing the tropopause on ascent). (Note that F6 did not substantially cross the tropopause and is therefore not listed.)</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="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right" colsep="1"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <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">Flight No.</oasis:entry>
         <oasis:entry colname="col2">Date</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">Temp. (K)</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">Alt. (km)</oasis:entry>
         <oasis:entry rowsep="1" colname="col5">Theta (K)</oasis:entry>
         <oasis:entry rowsep="1" colname="col6">Press. (hPa)</oasis:entry>
         <oasis:entry rowsep="1" colname="col7">Temp. (K)</oasis:entry>
         <oasis:entry rowsep="1" colname="col8">Alt. (km)</oasis:entry>
         <oasis:entry rowsep="1" colname="col9">Theta (K)</oasis:entry>
         <oasis:entry rowsep="1" colname="col10">Press. (hPa)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry namest="col3" nameend="col6" align="center" colsep="1">Lapse rate (LR) </oasis:entry>
         <oasis:entry namest="col7" nameend="col10" align="center">Cold point (CP) </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">F1</oasis:entry>
         <oasis:entry colname="col2">27 July 2017</oasis:entry>
         <oasis:entry colname="col3">198.2</oasis:entry>
         <oasis:entry colname="col4">15.6</oasis:entry>
         <oasis:entry colname="col5">372.7</oasis:entry>
         <oasis:entry colname="col6">109.6</oasis:entry>
         <oasis:entry colname="col7">194.6</oasis:entry>
         <oasis:entry colname="col8">17.4</oasis:entry>
         <oasis:entry colname="col9">337.7</oasis:entry>
         <oasis:entry colname="col10">82.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">F2</oasis:entry>
         <oasis:entry colname="col2">29 July 2017</oasis:entry>
         <oasis:entry colname="col3">198.6</oasis:entry>
         <oasis:entry colname="col4">15.5</oasis:entry>
         <oasis:entry colname="col5">372.6</oasis:entry>
         <oasis:entry colname="col6">110.6</oasis:entry>
         <oasis:entry colname="col7">194.4</oasis:entry>
         <oasis:entry colname="col8">16.8</oasis:entry>
         <oasis:entry colname="col9">383.2</oasis:entry>
         <oasis:entry colname="col10">90.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">F3</oasis:entry>
         <oasis:entry colname="col2">31 July 2017</oasis:entry>
         <oasis:entry colname="col3">192.9</oasis:entry>
         <oasis:entry colname="col4">17.0</oasis:entry>
         <oasis:entry colname="col5">386.7</oasis:entry>
         <oasis:entry colname="col6">87.7</oasis:entry>
         <oasis:entry colname="col7">192.7</oasis:entry>
         <oasis:entry colname="col8">17.0</oasis:entry>
         <oasis:entry colname="col9">388.1</oasis:entry>
         <oasis:entry colname="col10">87.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">F4</oasis:entry>
         <oasis:entry colname="col2">2 August 2017</oasis:entry>
         <oasis:entry colname="col3">192.7</oasis:entry>
         <oasis:entry colname="col4">17.7</oasis:entry>
         <oasis:entry colname="col5">398.9</oasis:entry>
         <oasis:entry colname="col6">78.3</oasis:entry>
         <oasis:entry colname="col7">191.7</oasis:entry>
         <oasis:entry colname="col8">17.9</oasis:entry>
         <oasis:entry colname="col9">398.7</oasis:entry>
         <oasis:entry colname="col10">76.5</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">F5</oasis:entry>
         <oasis:entry colname="col2">4 August 2017</oasis:entry>
         <oasis:entry colname="col3">191.5</oasis:entry>
         <oasis:entry colname="col4">15.9</oasis:entry>
         <oasis:entry colname="col5">371.8</oasis:entry>
         <oasis:entry colname="col6">104.6</oasis:entry>
         <oasis:entry colname="col7">191.5</oasis:entry>
         <oasis:entry colname="col8">16.2</oasis:entry>
         <oasis:entry colname="col9">368.0</oasis:entry>
         <oasis:entry colname="col10">99.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">F7</oasis:entry>
         <oasis:entry colname="col2">8 August 2017</oasis:entry>
         <oasis:entry colname="col3">192.9</oasis:entry>
         <oasis:entry colname="col4">16.3</oasis:entry>
         <oasis:entry colname="col5">374.8</oasis:entry>
         <oasis:entry colname="col6">97.9</oasis:entry>
         <oasis:entry colname="col7">187.5</oasis:entry>
         <oasis:entry colname="col8">17.4</oasis:entry>
         <oasis:entry colname="col9">382.6</oasis:entry>
         <oasis:entry colname="col10">82.6</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">F8</oasis:entry>
         <oasis:entry colname="col2">10 August 2017</oasis:entry>
         <oasis:entry colname="col3">194.3</oasis:entry>
         <oasis:entry colname="col4">15.7</oasis:entry>
         <oasis:entry colname="col5">366.7</oasis:entry>
         <oasis:entry colname="col6">108.3</oasis:entry>
         <oasis:entry colname="col7">186.7</oasis:entry>
         <oasis:entry colname="col8">17.1</oasis:entry>
         <oasis:entry colname="col9">375.8</oasis:entry>
         <oasis:entry colname="col10">86.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">mean</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">194.4</oasis:entry>
         <oasis:entry colname="col4">16.2</oasis:entry>
         <oasis:entry colname="col5">377.6</oasis:entry>
         <oasis:entry colname="col6">99.6</oasis:entry>
         <oasis:entry colname="col7">191.3</oasis:entry>
         <oasis:entry colname="col8">17.1</oasis:entry>
         <oasis:entry colname="col9">376.3</oasis:entry>
         <oasis:entry colname="col10">86.6</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e704">Often, the location of the tropopause is considered as a cold point (the point in the profile showing the lowest temperature) or as the lapse rate tropopause <xref ref-type="bibr" rid="bib1.bibx95" id="paren.18"/>. These two different ways of locating the tropopause lead to different conclusions on the properties of air masses in the vicinity of the tropopause <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx54" id="paren.19"/>. Observations in the vicinity of the tropopause were also made earlier in flights between the surface and 18 km in late January 2004 from Costa Rica <xref ref-type="bibr" rid="bib1.bibx63" id="paren.20"><named-content content-type="pre">10° N,</named-content></xref>. The cold point and the lapse rate tropopause are sometimes collocated, but often the tropical cold point is located substantially above the lapse rate tropopause <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx54" id="paren.21"/>. Both the cold point and the lapse rate tropopause were analysed based on aircraft measurements in January–March 2014 in the western Pacific <xref ref-type="bibr" rid="bib1.bibx54" id="paren.22"/>; finding that the air is drier on average at the cold point than at the lapse rate tropopause. Further, <xref ref-type="bibr" rid="bib1.bibx54" id="text.23"/> found a significant air mass discontinuity at the lapse rate tropopause. They conclude that there is no local barrier for transport across the lapse rate tropopause, but rather that this boundary reflects the with altitude diminishing role of convectively driven transport and mixing. This is important as the tropical west Pacific in winter is a key entry region for tropospheric air into the stratosphere. <xref ref-type="bibr" rid="bib1.bibx80" id="paren.24"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e733">Likewise, the ASMA is an important entry region to the stratosphere, which will be the focus here. We use measurements on board of a high flying research aircraft (Geophysica) in July and August 2017 (that is during the Asian summer monsoon peak season), during the StratoClim campaign based in Kathmandu/Nepal <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx38 bib1.bibx76" id="paren.25"><named-content content-type="pre">e.g.,</named-content></xref>. There were eight science flights out of Kathmandu during this period and the flights covered the altitude range from the ground to about 475 K. Trace gas, water vapour, and particle measurements during this campaign have been analysed before <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx38 bib1.bibx42 bib1.bibx93 bib1.bibx5 bib1.bibx76 bib1.bibx37 bib1.bibx91" id="paren.26"><named-content content-type="pre">e.g.,</named-content></xref>. Also, the moistening of the lower stratosphere in the ASMA observed in a specific flight (8 August 2017) during the StratoClim campaign was investigated <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx34" id="paren.27"/>. Here we focus on tropopause characteristics in the ASMA region during the StratoClim campaign in Kathmandu in summer 2017.</p>
      <p id="d2e749">The ASMA exists in Northern hemisphere summer in the upper troposphere and lower stratosphere <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx23 bib1.bibx19" id="paren.28"><named-content content-type="pre">e.g.,</named-content></xref>. The ASMA stretches over a large area, between the Eastern Mediterranean and Northern India and the Tibetan plateau <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx90 bib1.bibx46 bib1.bibx7 bib1.bibx33" id="paren.29"><named-content content-type="pre">e.g.,</named-content></xref>. In the Asian monsoon region and season, the lapse rate tropopause is typically located at greater altitudes (i.e. at lower pressures) than the tropopause outside the monsoon region <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx9 bib1.bibx57 bib1.bibx89" id="paren.30"><named-content content-type="pre">by about 0.5 to 1 km or 20 K in potential temperature;</named-content></xref>. Further, there is a strong year-to-year variability in the altitude and the temperature of the lapse rate tropopause in the Asian monsoon region <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx99" id="paren.31"/>.</p>
      <p id="d2e771">Upward transport in the Asian summer monsoon is dominated by convective activity. The fact that thunderstorms may inject substantial amounts of water vapour into the lowermost stratosphere was already found in early airborne measurements <xref ref-type="bibr" rid="bib1.bibx74" id="paren.32"><named-content content-type="pre">aircraft flights around a thunderstorm top near Amarillo, Texas, in 1972,</named-content></xref>. There are sources of tropospheric perturbations at lower altitudes (e.g., ozone, ozone depleting substances, water vapour, CO, and <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) which are detectable in the ASMA at greater altitudes, above about 370 K potential temperature <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx56 bib1.bibx70 bib1.bibx48 bib1.bibx86 bib1.bibx42 bib1.bibx38 bib1.bibx93 bib1.bibx1 bib1.bibx76 bib1.bibx91 bib1.bibx92 bib1.bibx14 bib1.bibx7" id="paren.33"/>. When investigating the impact of convection on the stratospheric composition in the ASMA it is important to consider the influence of transport across the lapse rate tropopause <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx13" id="paren.34"/>.</p>
      <p id="d2e796">The impact of convective activity in the North American and Asian Monsoon regions on stratospheric humidity has been investigated based on satellite observations <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx94" id="paren.35"/>; it is concluded that stronger convection leads to a drier stratosphere, whereas weaker convection leads to a more humid stratosphere <xref ref-type="bibr" rid="bib1.bibx60" id="paren.36"/>. Dehydration in the upper troposphere and lower stratosphere over the Asian summer monsoon caused by tropical cyclones has also been observed <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx44" id="paren.37"/>. Further, moistening of the global lower stratosphere through sublimating ice particles (a process showing a substantial regional variability) can be detected as an isotopic enhancement of the <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HDO</mml:mi><mml:mo>/</mml:mo><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> ratio <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx76 bib1.bibx34" id="paren.38"/>.</p>
      <p id="d2e828">Moreover, the altitude of the tropopause and its characteristics are very different in the extra-tropics and in the tropics; in the tropics the transition from the troposphere to the stratosphere occurs in a layer, rather than at a sharply defined point referred to as “tropopause”. This fact has led to the concept of a tropical tropopause layer <xref ref-type="bibr" rid="bib1.bibx20" id="paren.39"><named-content content-type="pre">TTL,</named-content></xref>; with a bottom at <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">150</mml:mn></mml:mrow></mml:math></inline-formula> hPa, 355 K, 14 km (pressure, potential temperature, and altitude) and a top at <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula> hPa, 425 K, 18.5 km <xref ref-type="bibr" rid="bib1.bibx20" id="paren.40"/>. The existence of a TTL (but not using this term) was discussed earlier based on observations <xref ref-type="bibr" rid="bib1.bibx82 bib1.bibx63" id="paren.41"/>. There is further a longitudinal variation of the tropopause altitude, in particular associated with the ASMA and with El Niño-southern oscillation events <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx26 bib1.bibx9 bib1.bibx85" id="paren.42"/>.</p>
      <p id="d2e866">In the upper troposphere and lower stratosphere, temperature (<inline-formula><mml:math id="M14" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>) altitude (<inline-formula><mml:math id="M15" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>), pressure (<inline-formula><mml:math id="M16" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>) and potential temperature (<inline-formula><mml:math id="M17" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>) are related <xref ref-type="bibr" rid="bib1.bibx38" id="paren.43"><named-content content-type="pre">e.g.,</named-content></xref>. Pressure decreases with altitude and potential temperature increases with altitude <xref ref-type="bibr" rid="bib1.bibx38" id="paren.44"><named-content content-type="post">see also Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/></named-content></xref>. The relation in detail can be different above and below the tropical tropopause, where the tropical tropopause temperature is close to the minimum in temperature <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx27 bib1.bibx76" id="paren.45"><named-content content-type="pre">e.g.,</named-content></xref>. In any case, in discussions of Asian monsoon issues, altitude, pressure and potential temperature are all used frequently; therefore we provide here relations between these quantities based on in-situ measurements in the ASMA in 2017 (see Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/>).</p>
      <p id="d2e916">We focus here on airborne observations of water vapour, ozone, temperature, other meteorological parameters, and cloud occurrence (total water); all these quantities are accessible also through balloon-borne observations. Obviously, the measurements during StratoClim in 2017 provide a wealth of further information, which will be valuable for an extension of the present work.</p>
      <p id="d2e919">Here we find that the lapse rate tropopause in the Asian summer monsoon anticyclone constitutes a good estimate for the upper boundary of the well mixed tropospheric air mass and that the lapse rate tropopause and the cold point tropopause are often not co-located; these two “tropopauses” are different. The cold point tropopause is in particular important for water vapour; in the ASMA, above the cold point tropopause, mixing ratios of water vapour are <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>≲</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> ppm. For strong convection there is substantial dehydration at the cold point tropopause and no indication of particle occurrence or enhanced mixing ratios of water vapour (<inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mo>≳</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> ppm) above the altitude of the cold point tropopause.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Measurements during the StratoClim campaign in the Asian Summer Monsoon from Kathmandu in 2017</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Temperature, Altitude and Pressure</title>
      <p id="d2e957">We use measurements of temperature on board the research aircraft Geophysica in 2017 by the scientific Rosemount probe <xref ref-type="bibr" rid="bib1.bibx75" id="paren.46"><named-content content-type="pre">TDC,</named-content></xref>. We use the Mach number corrected version of the TDC temperature measurements <xref ref-type="bibr" rid="bib1.bibx76" id="paren.47"/>. Temperature accuracy and precision are 0.5 and 0.1 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, respectively <xref ref-type="bibr" rid="bib1.bibx76" id="paren.48"/>. The altitude of the aircraft is deduced from the aircraft system <xref ref-type="bibr" rid="bib1.bibx79" id="paren.49"><named-content content-type="pre">UCSE,</named-content></xref>; likewise pressure measurements are taken from UCSE, but there is no significant difference in the pressure measurements of the UCSE and TDC systems. The UCSE altitude is consistently used for all analyses throughout the paper.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Gas-phase water vapour, total water vapour and ozone</title>
      <p id="d2e992">Gas-phase water vapour aboard the Geophysica was measured by the FLASH instrument <xref ref-type="bibr" rid="bib1.bibx77 bib1.bibx34" id="paren.50"/>, a Lyman-<inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> photofragment fluorescence instrument with 1 s time resolution, a precision of 0.2 ppm, and a measurement range of 1–1000 ppm. Total water vapour on board the aircraft is measured by the FISH instrument, which is also a Lyman-<inline-formula><mml:math id="M22" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> photofragment fluorescence instrument using a forward facing inlet <xref ref-type="bibr" rid="bib1.bibx98 bib1.bibx47 bib1.bibx71" id="paren.51"/>. Overall, in the range from 4 to 1000 ppm, the total accuracy of FISH is 6 %–8 %; for lower mixing ratios down to 1 ppm, the uncertainty reaches a lower limit of 0.3 ppm <xref ref-type="bibr" rid="bib1.bibx47" id="paren.52"/>. Considering the enhanced sampling of cloud particles caused by the forward facing inlet of the FISH instrument, an estimate of the cloud ice water content in the atmosphere is possible <xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx73 bib1.bibx71 bib1.bibx2" id="paren.53"/>.</p>
      <p id="d2e1022">Gas-phase water vapour in clouds is taken from the FLASH measurements; because of the design of the inlet, FLASH only measures gas-phase water vapour in the atmosphere. If FLASH measurements are not available, gas-phase water vapour in ice clouds is approximated as saturation over ice <xref ref-type="bibr" rid="bib1.bibx63" id="paren.54"><named-content content-type="pre">see also the discussion in</named-content></xref>. Outside of clouds FISH also reports gas-phase water vapour. A detailed comparison of gas-phase water vapour measurements of the FISH and FLASH instruments during the campaign in 2017 is reported elsewhere <xref ref-type="bibr" rid="bib1.bibx76" id="paren.55"/>. Overall, gas-phase measurements (outside clouds) of the FISH instrument have shown good agreement with a number of independent aircraft hygrometers <xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx76" id="paren.56"/>.</p>
      <p id="d2e1036">We further use the relative humidity over ice based on the aircraft measurements. First, the water vapour saturation mixing ratio over ice is calculated from pressure and temperature aboard the aircraft. Second, the measured gas-phase mixing ratio (here from the FLASH measurements) is used to calculate the ratio of gas-phase water vapour mixing ratio to the water vapour saturation mixing ratio over ice, in other words the relative humidity over ice.</p>
      <p id="d2e1039">Ozone on board the aircraft is measured by FOZAN-II, a dual-channel automatic fast-response (1 <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">s</mml:mi></mml:mrow></mml:math></inline-formula>) chemiluminescent ozone analyser <xref ref-type="bibr" rid="bib1.bibx87" id="paren.57"/>. The measured ozone concentration range is 10–500 <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, the relative error is less than 10 % and the measurement range is from the ground to 22 km altitude <xref ref-type="bibr" rid="bib1.bibx87" id="paren.58"/>. At 30 hPa (and 200 K) a range of 10–500 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> corresponds to a range in molar mixing ratio of ozone of 116 to 5776 ppb. The lower limit of the ozone concentration measured by FOZAN-II (10 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) means that the instrument can measure increasingly lower values of the molar mixing ratio of ozone with increasing pressure; for example, at 1000 hPa a value of 10 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> corresponds to 3.5 ppb.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Water vapour isotopologues</title>
      <p id="d2e1141">In the StratoClim campaign, an indication of water vapour enhancements through sublimating ice particles is provided by measurements of the <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HDO</mml:mi><mml:mo>/</mml:mo><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> ratio, which is provided by the Chicago Water Isotope Spectrometer <xref ref-type="bibr" rid="bib1.bibx76" id="paren.59"><named-content content-type="pre">ChiWIS,</named-content></xref>. An isotopic enhancement of the <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HDO</mml:mi><mml:mo>/</mml:mo><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> ratio (i.e., heavy water vapour) indicates gas-phase water resulting from the sublimation of ice particles <xref ref-type="bibr" rid="bib1.bibx24" id="paren.60"/>. The ChiWIS measurements are not directly used here, but conclusions in the literature on water vapour originating from sublimating ice particles <xref ref-type="bibr" rid="bib1.bibx34" id="paren.61"/> are used. Values of the <inline-formula><mml:math id="M30" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D of about <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">450</mml:mn></mml:mrow></mml:math></inline-formula> in ‰ are indicative of sublimating ice particles, where the ratio of <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HDO</mml:mi><mml:mo>/</mml:mo><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> is given in the <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> notation <xref ref-type="bibr" rid="bib1.bibx24" id="paren.62"/>: <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi mathvariant="normal">D</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="normal">‰</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1000</mml:mn><mml:mo>×</mml:mo><mml:mo>(</mml:mo><mml:mo>(</mml:mo><mml:mrow class="chem"><mml:mi mathvariant="normal">HDO</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mtext>RVSMOW</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (RVSMOW is the ratio of <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HDO</mml:mi><mml:mo>/</mml:mo><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 Vienna standard mean ocean water).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d2e1308">Here we focus on three specific flights during the StratoClim campaign in 2017 based in Kathmandu, Nepal <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx38 bib1.bibx76" id="paren.63"><named-content content-type="pre">e.g.,</named-content></xref>. We focus on measurements of temperature, ozone mixing ratios, gas-phase water vapour mixing ratios and water vapour in the particle phase. Flight F2 on 29 July 2017 was designed as an ATAL flight, no particles were observed. Flight F7 on 8 August, designed as an ASMA survey, showed few particles and some enhancement of gas-phase water vapour at greater altitudes. Flight F8, on 10 August 2017, was probing fresh convection.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Deducing the location of the tropopause</title>
      <p id="d2e1323">There is a variety of methods to determine the location of the tropopause <xref ref-type="bibr" rid="bib1.bibx28" id="paren.64"/>; here we focus on two specific methods: the lapse rate tropopause and the cold point tropopause. Both methods require only a measurement of the atmospheric temperature profile.</p>
      <p id="d2e1329">The lapse rate tropopause, is defined as the lowest level at which the temperature lapse rate decreases to 2 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> or less, provided that the average lapse rate between that level and all higher levels within 2 km does not exceed 2 <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx95" id="paren.65"/>. That is, a layer of 2 km above a candidate tropopause is required by this definition; so that the lapse rate tropopause is designed for a vertical profile measurement. Thus, to determine the lapse rate tropopause, we select a part of the flight, here the first three hours of the flight (i.e., the ascent of the aircraft, see Table <xref ref-type="table" rid="T1"/> for details). For the same part of the flight, to facilitate a comparison, we report values for the cold point tropopause (the point in the profile showing the lowest temperature; Table <xref ref-type="table" rid="T1"/>). Values for the last part of the flight (descent into Kathmandu crossing the tropopause region) and the cold point tropopause considering the <italic>entire</italic> flight are reported elsewhere <xref ref-type="bibr" rid="bib1.bibx49" id="paren.66"><named-content content-type="post">see also Supplement</named-content></xref>.</p>
      <p id="d2e1382">Examples of observed temperature profiles in the Asian monsoon region versus altitude and versus potential temperature on 29 July 2017 (as well as the location of the cold point and lapse rate tropopause) are shown in Fig. <xref ref-type="fig" rid="F1"/> (top and bottom). Temperature decreases almost linearly with altitude (Fig. <xref ref-type="fig" rid="F1"/>, top) up to the lapse rate tropopause and thus constitutes an example of a polytropic temperature profile <xref ref-type="bibr" rid="bib1.bibx18" id="paren.67"><named-content content-type="pre">a temperature profile with a constant lapse rate;</named-content></xref>. The lapse rate tropopause is also noticeable as a discontinuity in the vertical gradient of potential temperature (Fig. <xref ref-type="fig" rid="F1"/>, bottom), consistent with <xref ref-type="bibr" rid="bib1.bibx36" id="text.68"/>, who defined the lapse rate tropopause by this property of potential temperature.</p>

      <fig id="F1"><label>Figure 1</label><caption><p id="d2e1402">The temperature profile versus altitude (top) and potential temperature (bottom) in the vicinity of the tropopause for the scientific flight on 29 July 2017. The dashed line shows the altitude of the lapse rate tropopause (15.5 km and 372.6 K, respectively) and the dotted line the altitude of the cold point tropopause (16.8 km and 383.2 K, respectively). Tropopause and temperature information is for the first three hours of the flight (see Table <xref ref-type="table" rid="T1"/>).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/4359/2026/acp-26-4359-2026-f01.png"/>

        </fig>

      <p id="d2e1413">Note that locating the tropopause always constitutes an approximation because air parcels do not ascend vertically (as a balloon ascent does) and aircraft measurements always cover a certain horizontal area. Tropopause information at a particular point can be interpolated from gridded data, e.g. using meteorological reanalyses, but are subject to interpolation uncertainties. It would be better, considering the evolution of an air parcel in a Lagrangian sampling, when interpreting measurements at a particular point in the lower stratosphere <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx96 bib1.bibx66 bib1.bibx86 bib1.bibx42 bib1.bibx34 bib1.bibx37 bib1.bibx94" id="paren.69"><named-content content-type="pre">e.g.</named-content></xref>; however this view is only accessible in model simulations (see also Sect. <xref ref-type="sec" rid="Ch1.S3.SS3"/>).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Cold point and lapse rate tropopause</title>
      <p id="d2e1432">For the first part of each StratoClim flight (the first three hours), Table <xref ref-type="table" rid="T1"/> lists the location of the lapse rate tropopause. The mean lapse rate tropopause is located at 16.2 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (or 377.6 <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, pressure 99.6 <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>); the mean temperature at the lapse rate tropopause is 194.4 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>. Also, the cold point tropopause for the same flight segment (i.e., the first three hours) measured by the aircraft is listed in Table <xref ref-type="table" rid="T1"/>, as well as the altitude, the potential temperature and the pressure at the cold point. The cold point measured by the aircraft instruments for the entire flight is reported elsewhere <xref ref-type="bibr" rid="bib1.bibx49" id="paren.70"/>. The range of the potential temperature for the ascent flight segments at the cold point is 337.7 to 398.7 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx34" id="paren.71"><named-content content-type="pre">approximately consistent with</named-content></xref>. The mean cold point temperature for these parts of the flights is 191.3 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>, the mean altitude of the cold point is 17.1 <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and 376.3 <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> and 86.6 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> for potential temperature and pressure, respectively. The example of the temperature profile measured during StratoClim in the scientific flight on 29 July 2017 is shown in Fig. <xref ref-type="fig" rid="F1"/>.</p>
      <p id="d2e1523">The observations shown here indicate that, for the Asian summer monsoon, the cold point is frequently located above the lapse rate tropopause (Table <xref ref-type="table" rid="T1"/>) although occasionally the lapse rate tropopause and the cold point may be located very closely in altitude and pressure (e.g., F5, 4 August 2017). On average the cold point is located 0.9 km above the lapse rate tropopause and the cold point tropopause is about 3.1 K colder than the lapse rate tropopause (Table <xref ref-type="table" rid="T1"/>).</p>
      <p id="d2e1530">Up to the lapse rate tropopause, temperature is decreasing rapidly with potential temperature (Fig. <xref ref-type="fig" rid="F1"/>. bottom) or with altitude (Fig. <xref ref-type="fig" rid="F1"/>, top). Above the lapse rate tropopause, the temperature varies little up to the cold point. Above the cold point, with increasing altitude and potential temperature, temperature increases again (Fig. <xref ref-type="fig" rid="F1"/>).</p>
      <p id="d2e1539">However, vertical ascent through layers of constant potential temperature occurs according to the heating rate per unit mass <inline-formula><mml:math id="M47" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> where the isentropic vertical velocity <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">θ</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> is given by the first law of thermodynamics

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M49" display="block"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi mathvariant="italic">θ</mml:mi><mml:mi>T</mml:mi></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>Q</mml:mi><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          (here <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi>Q</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> has units of <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Thus, the slow vertical ascent on time scales of several days is not affected by any local transport barriers. Therefore, there cannot be a local control of the slow upward transport in the vicinity of the tropopause.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Ozone and Water Vapour in the vicinity of the tropopause</title>
      <p id="d2e1641">The chemical composition of air masses in the vicinity of the tropopause in the ASMA is investigated here using in-situ air-borne measurements of ozone and water vapour in the Asian monsoon anticyclone in 2017 in the frame of the StratoClim campaign <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx38 bib1.bibx76" id="paren.72"><named-content content-type="pre">e.g.,</named-content></xref>. Flights were selected for which both water vapour and ozone measurements are available. Throughout this work, ozone and water vapour are expressed in molar mixing ratios reported as ppb and ppm. (Note that for an ideal gas molar mixing ratios are identical to volume mixing ratios.)</p>
      <p id="d2e1649">The aircraft measurements discussed here cannot measure a profile in the Lagrangian sense (the Lagrangian point of view can be reached in model simulations), in other words the sampled air masses will be from downwind, i.e. from regions having in general other properties than the air masses during the ascent or descent of the aircraft <xref ref-type="bibr" rid="bib1.bibx86 bib1.bibx34 bib1.bibx37 bib1.bibx94" id="paren.73"><named-content content-type="pre">i.e.,</named-content></xref>.</p>
      <p id="d2e1657">For the water vapour and ozone measurements considered here, it is important that the tropopause is a different entity for different species. In contrast to practically all other species of tropospheric origin, gas-phase water vapour may freeze out (cirrus particle formation) at low atmospheric temperatures. Thus, for gas-phase water vapour, the cold point is most important, as temperature is relevant here and not transport.</p>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Hydration and dehydration of the stratosphere through sublimating and sedimenting ice particles</title>
      <p id="d2e1669">The presence of ice particles in an air mass in the vicinity of the tropopause can be indicative of either hydration or dehydration. Ice particles present in subsaturated air are indicative of sublimation of ice leading to hydration of the air mass, whereas ice particles in supersaturated air will to grow and tend to sediment, thus leading to dehydration of the air mass <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx34" id="paren.74"/>.</p>
      <p id="d2e1675">The sedimentation velocity of particles of moderate size in the stratosphere is small; a particle with a radius <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at 30 km falls about 108 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and at 20 km about 90 <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx50" id="paren.75"/>. The fall speed is <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>∝</mml:mo><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> so that a smaller particle will fall substantially slower, whereas a particle with a radius <inline-formula><mml:math id="M57" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> of 100 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> will fall about 7 <inline-formula><mml:math id="M59" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at 30 km or 3 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at 20 km <xref ref-type="bibr" rid="bib1.bibx50" id="paren.76"/>.</p>
      <p id="d2e1805">However, small and large ice particles in the same air mass do not develop independently. It was suggested <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx63" id="paren.77"/> that the ablation of small ice particles by solar near-infrared radiation plays a role in the production of the lowest, unsaturated water vapour values; the vapour molecules from the ablated small particles distil over to the larger particles that have significant fall speeds <xref ref-type="bibr" rid="bib1.bibx50" id="paren.78"/>.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>The scientific flight on 29 July 2017</title>
      <p id="d2e1822">The air masses sampled during the scientific flight on 29 July 2017 were influenced by convection several days <italic>before</italic> the measurement <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx37" id="paren.79"/>. But during this flight, no occurrence of particles was observed above 13 km and in particular above the lapse rate tropopause (Fig. <xref ref-type="fig" rid="F2"/>, top right). There are two layers of enhanced water vapour of about 10 ppm between 16.5 and 17.5 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, at and above the cold point tropopause (Fig. <xref ref-type="fig" rid="F2"/>, top right). The convective origin of these layers of enhanced water vapour at about 16.5 and 17.5 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> is confirmed by a strong enhancement in the <inline-formula><mml:math id="M63" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">HDO</mml:mi><mml:mo>/</mml:mo><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> ratio (see also Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>) indicating that the water vapour enhancement was produced by sublimation of ice <xref ref-type="bibr" rid="bib1.bibx34" id="paren.80"/>. On this day, water vapour measurements above the cold point tropopause show a decline of <inline-formula><mml:math id="M64" 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> with altitude, with no indication of dehydration above the cold point (Fig. <xref ref-type="fig" rid="F2"/>, top right).</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1891">Measurements of molar mixing ratios of ozone (top left) and water vapour (top right) versus altitude in the vicinity of the tropopause for the scientific flight on 29 July 2017. The dashed line shows the altitude of the lapse rate tropopause and the dotted line the altitude of the cold point tropopause. Bottom panel shows a scatter plot of the aircraft measurements of ozone and water vapour on 29 July 2017. The red symbol indicates the location of the lapse rate tropopause; the blue symbol the location of the cold point tropopause. Tropopause information is for the first three hours of the flight (see Table <xref ref-type="table" rid="T1"/>), ozone and water vapour measurements are for the entire flight. In the top right and bottom panel, grey symbols indicate the FISH total water vapour measurements and black points show the FLASH gas-phase water vapour measurements. Note that for this flight the FISH and FLASH water vapour measurements are very similar (top right and bottom panel), in other words no cloud particles were observed.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/4359/2026/acp-26-4359-2026-f02.png"/>

          </fig>

      <p id="d2e1902">Ozone mixing ratios stay approximately constant with altitude up to about 12 km, with a moderate increase above. A substantial ozone increase starts above the lapse rate tropopause, increasing substantially with altitude, especially above the cold point (Fig. <xref ref-type="fig" rid="F2"/>, top left).</p>
      <p id="d2e1908">These findings are corroborated by investigating the ozone-<inline-formula><mml:math id="M65" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> scatter plot (Fig. <xref ref-type="fig" rid="F2"/>, bottom); which shows the well known “L-shape” <xref ref-type="bibr" rid="bib1.bibx54" id="paren.81"/> and, further, the water vapour enhancements of about 10 ppm for ozone mixing ratios between <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">150</mml:mn></mml:mrow></mml:math></inline-formula> to 200 ppb. Measurements below the lapse rate tropopause are of tropospheric character (poor in ozone and enhanced in water vapour).</p>
</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <label>3.3.3</label><title>The scientific flight on 8 August 2017</title>
      <p id="d2e1947">In contrast to flight F2 (on 29 July), which stayed in the airspace of Nepal, F7 (on 8 August) reached deep into Indian airspace and almost reached the Bay of Bengal <xref ref-type="bibr" rid="bib1.bibx76" id="paren.82"/>. During F7, air masses were sampled that show an approximately constant ozone mixing ratio with altitude up to 14 km; the ozone mixing ratio increases somewhat above. Ozone mixing ratios increase substantially above the lapse rate tropopause (Fig. <xref ref-type="fig" rid="F3"/>, top left).</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1957">Measurements of ozone (top left) and water vapour (top right) versus altitude in the vicinity of the tropopause for the scientific flight on 8 August 2017. The dashed line shows the altitude of the lapse rate tropopause and the dotted line the altitude of the cold point tropopause. Tropopause information is for the first three hours of the flight (see Table <xref ref-type="table" rid="T1"/>), ozone and water vapour measurements are for the entire flight. In top right panel and in the scatter plot in the bottom panel, grey symbols indicate the FISH total water vapour measurements and black points show the gas-phase water vapour measurements by the FLASH instrument. The red symbol in the bottom panel indicates the location of the lapse rate tropopause; the blue symbol the location of the cold point tropopause.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/4359/2026/acp-26-4359-2026-f03.png"/>

          </fig>

      <p id="d2e1968">Below the lapse rate tropopause, on 8 August 2017, ice particles occur (Fig. <xref ref-type="fig" rid="F3"/>, top right, Fig. <xref ref-type="fig" rid="F4"/>). This is obvious as the grey symbols (total water) clearly show – at the same altitude or potential temperature – higher values than the black symbols (gas-phase water vapour). The same is true (but with lower values of total water) for the vertical range between the lapse rate tropopause and the cold point tropopause (Fig. <xref ref-type="fig" rid="F4"/>). Slightly above the cold point tropopause, at about 390 K (17 km), ice particles are observed (Fig. <xref ref-type="fig" rid="F4"/>), but no clear indication of particle occurrence is found above 390 K. The measurements show enhancement of water vapour to mixing ratios up to <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> ppm (Fig. <xref ref-type="fig" rid="F4"/>) above the cold point tropopause between 400 and 410 K.</p>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e1995">Water vapour versus altitude (top) and versus potential temperature (bottom) in the vicinity of the tropopause for the scientific flight on 8 August 2017 (similar as in Fig. <xref ref-type="fig" rid="F3"/>, top right), but for a reduced range of observed water vapour values. The dotted line shows the cold point for this flight (17.4 km, top, and 382.6 K, bottom) and the dashed line the lapse rate tropopause (16.3 km, top, and 374.8 K, bottom). Grey symbols indicate the FISH total water vapour measurements and black points show the gas-phase water vapour measurements by the FLASH instrument. The aircraft measurements extend to about 440 K.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/4359/2026/acp-26-4359-2026-f04.png"/>

          </fig>

      <p id="d2e2006">The ozone-<inline-formula><mml:math id="M68" 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> scatterplot for 8 August (Fig. <xref ref-type="fig" rid="F3"/>, bottom) corroborates the findings deduced from the observed profiles. The air below the lapse rate tropopause is of tropospheric character. Particles occur for ozone mixing ratios of 100–150 ppb and the <inline-formula><mml:math id="M69" 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> enhancement with mixing ratios below about 7 ppm is noticeable for ozone mixing ratios of 200–350 ppb.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS4">
  <label>3.3.4</label><title>The scientific flight on 10 August 2017</title>
      <p id="d2e2045">The scientific flight on 10 August 2017 was conducted under conditions of strong convection <xref ref-type="bibr" rid="bib1.bibx37" id="paren.83"/> for about the first two hours of the flight. The entire flight duration was 3.7 h.</p>
      <p id="d2e2051">Clearly noticeable in the water vapour measurements on 10 August (Fig. <xref ref-type="fig" rid="F5"/>, top right) is the very strong total water enhancement, which indicates the occurrence of ice particles (enhanced FISH water vapour measurements reaching up to <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">250</mml:mn></mml:mrow></mml:math></inline-formula> ppm). These ice particles are closely collocated with the altitude of the cold point tropopause (Fig. <xref ref-type="fig" rid="F5"/>, top right, and Fig. <xref ref-type="fig" rid="F6"/>, top). There is also occurrence of particles below the cold point as well as at and below the lapse rate tropopause (Fig. <xref ref-type="fig" rid="F5"/>, top right). Further, cloud particles (i.e., high total water values) occur below the lapse rate tropopause in the troposphere. Ice particles are observed during the first two hours of the flight. No ice particles were detected by FISH for the flight section between about 17.1 km (375 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>) and the top altitude of the flight (<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">18.5</mml:mn></mml:mrow></mml:math></inline-formula> km, 420 K). Thus, the flight section between <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">17.1</mml:mn></mml:mrow></mml:math></inline-formula> km and the top altitude of the flight was conducted in cloud free air (Fig. <xref ref-type="fig" rid="F6"/>).</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e2105">Measurements of ozone (top left) and water vapour (top right) versus altitude in the vicinity of the tropopause for the scientific flight on 10 August 2017. The dashed line shows the altitude of the lapse rate tropopause and the dotted line the altitude of the cold point tropopause. Tropopause information is for the first three hours of the flight (see Table <xref ref-type="table" rid="T1"/>), ozone and water vapour measurements are for the entire flight. In top right panel and in the scatter plot in the bottom panel, grey symbols indicate the FISH total water vapour measurements and black points show the gas-phase water vapour measurements by the FLASH instrument. The red symbol in the bottom panel indicates the location of the lapse rate tropopause; the blue symbol the location of the cold point tropopause.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/4359/2026/acp-26-4359-2026-f05.png"/>

          </fig>

      <fig id="F6"><label>Figure 6</label><caption><p id="d2e2119">Water vapour versus altitude (top) and versus potential temperature (bottom) in the vicinity of the cold point and the lapse rate tropopause for the scientific flight on 10 August 2017 (similar as in Fig. <xref ref-type="fig" rid="F5"/>, top right, but for a reduced range of observed water vapour values). The dotted line shows the cold point for this flight (17.1 km, top, and 375.8 K, bottom) and the dashed line the lapse rate tropopause (15.7 km, top, and 366.7 K, bottom). Grey symbols indicate the FISH total water vapour measurements and black points show the gas-phase water vapour measurements by the FLASH instrument. The aircraft measurements extend to about 420 K.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/4359/2026/acp-26-4359-2026-f06.png"/>

          </fig>

      <p id="d2e2130">The part of the flight on 10 August 2017 between 09:45 and 11:10 local time (local time is used throughout the paper) was conducted close to the pressure level of the cold point tropopause (not shown). Thus, the particle occurrence (i.e., the enhanced water vapour measured by FISH) close to the cold point tropopause (Fig. <xref ref-type="fig" rid="F5"/>, top right) consists of a series of peaks of enhanced water vapour sampled between 09:45 and 11:10.</p>
      <p id="d2e2135">Ozone mixing ratios on 10 August 2017 are low and not very variable between 12 and 14 km; they increase slightly between 14 km and the lapse rate tropopause (Fig. <xref ref-type="fig" rid="F5"/>, top left panel). Ozone mixing ratios increase above the lapse rate tropopause and are much more variable than below. Ozone increases further above the cold point tropopause and there is a large variability of ozone at the cold point tropopause, with mixing ratios ranging between <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> and 350 ppb.</p>
      <p id="d2e2150">The ozone-<inline-formula><mml:math id="M75" 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> scatterplot for 10 August 2017 (see Fig. <xref ref-type="fig" rid="F5"/>, bottom) corroborates the findings deduced from the observed profiles (Fig. <xref ref-type="fig" rid="F5"/>, top); the scatterplot shows in general an “L-shape” with an enhancement of gas-phase water vapour at about 60–170 ppb ozone. Very low water vapour mixing ratios (below about 3 ppm) are observed during this flight (for ozone mixing ratios of about 100–150 ppb).</p>
      <p id="d2e2170">These water vapour observations indicate that (under the conditions of strong convection) dehydration occurs at altitudes close to the cold point tropopause (Figs. <xref ref-type="fig" rid="F5"/>, top right, and <xref ref-type="fig" rid="F6"/>), where there is supersaturation (Fig. <xref ref-type="fig" rid="F7"/>). However, using potential temperature as the vertical coordinate (Fig. <xref ref-type="fig" rid="F6"/>, bottom) indicates that particle occurrence under conditions of strong convection extends to about 390 K.</p>

      <fig id="F7"><label>Figure 7</label><caption><p id="d2e2184">Saturation ratio of <inline-formula><mml:math id="M76" 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> over ice versus altitude for the scientific flight on 10 August 2017 in the vicinity of the cold point and the lapse rate tropopause. Gas-phase <inline-formula><mml:math id="M77" 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> measurements are from the FLASH instrument; these measurements are used to calculate the water vapour saturation ratio. The dotted line shows the cold point for this flight (17.1 km) and the dashed line the lapse rate tropopause (15.7 km). The top altitude for which FISH observed ice particles is 17.1 km. (See Supplement for a figure showing potential temperature as the vertical axis.)</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/4359/2026/acp-26-4359-2026-f07.png"/>

          </fig>

      <p id="d2e2219">Importantly, the particles for conditions of strong convection (the first two hours of the flight) occur in strongly supersaturated air (Fig. <xref ref-type="fig" rid="F7"/>). Thus these particles will grow and therefore likely sediment. Sedimenting ice particles will dehydrate the air mass they occur in; thus for the flight on 10 August, supersaturated air in the vicinity of the cold point should lead to dehydrating the air mass at the cold point tropopause.</p>
      <p id="d2e2224">However, particles and supersaturated air masses occur between the cold point and the lapse rate tropopause, indicating further dehydration occurring at these altitudes. Particles also occur in the troposphere, below the lapse rate tropopause (Fig. <xref ref-type="fig" rid="F5"/>, top right).</p>
</sec>
<sec id="Ch1.S3.SS3.SSS5">
  <label>3.3.5</label><title>General properties of the cold point and the lapse rate tropopause in the Asian summer monsoon anticyclone</title>
      <p id="d2e2237">Up to the lapse rate tropopause, ozone mixing ratios are relatively low, the air is humid and frequent occurrence of cloud particles is observed. Water vapour mixing ratios decrease with increasing altitude and with slightly increasing ozone mixing ratios. Thus we conclude that the lapse rate tropopause in the Asian summer monsoon anticyclone constitutes a good estimate for the upper boundary of the well mixed tropospheric air mass.</p>
      <p id="d2e2240">Between the lapse rate tropopause and the cold point, the air masses show no longer a tropospheric character, ozone mixing ratios increase with altitude. Further, convection may penetrate the lapse rate tropopause and humidify the region above the lapse rate tropopause. Water vapour mixing ratios in the ASMA in 2017 above the cold point tropopause (i.e., also above the lapse rate tropopause) range up to <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>–6 ppm. Moister patches with enhancements in water vapour mixing ratios up to <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> ppm are occasionally observed. However, for strong convection, severe dehydration is indicated by the occurrence of ice particles in supersaturated air very close to the cold point tropopause.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d2e2273">Here, with a focus on the Asian Monsoon; we confirm earlier reports for the tropical west Pacific in winter <xref ref-type="bibr" rid="bib1.bibx54" id="paren.84"/> that the lapse rate tropopause identifies the transition from tropospheric air masses to stratospheric air masses. We also find that in the Asian monsoon the air is generally drier at and above the cold point tropopause than below; again consistent with earlier reports for winter in the west Pacific <xref ref-type="bibr" rid="bib1.bibx54" id="paren.85"/> and near tropical central America at 10° N <xref ref-type="bibr" rid="bib1.bibx63" id="paren.86"/>. It should be noted that an early stratosphere-troposphere model already predicted the role of monsoonal circulation in air entry to the stratosphere <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx4" id="paren.87"/>. However, the air above the cold point tropopause in the Asian summer monsoon is more humid (mixing ratios of <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>–10 ppm) than in the west Pacific in winter <xref ref-type="bibr" rid="bib1.bibx54" id="paren.88"><named-content content-type="pre"><inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> ppm,</named-content></xref>.</p>
      <p id="d2e2313">Ozone mixing ratios in the ASMA, increase moderately with altitude in the upper troposphere (below the lapse rate tropopause) and increase substantially above the lapse rate tropopause <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx11 bib1.bibx19" id="paren.89"><named-content content-type="pre">e.g.,</named-content></xref>. Ozone mixing ratios between the cold point tropopause and the lapse rate tropopause range between 50 and 200 ppb, consistent with measurements in the west Pacific in winter <xref ref-type="bibr" rid="bib1.bibx54" id="paren.90"/>.</p>
      <p id="d2e2324">In the Asian monsoon region, penetration of deep convective systems to above the lapse rate tropopause <xref ref-type="bibr" rid="bib1.bibx13" id="paren.91"/> and also (but to a lesser extent) above the cold point tropopause occurs. If ice particles reach the lowermost stratosphere and sublimate there (before the particles sediment) this process may cause local hydration. Indeed, layers of enhanced gas-phase water vapour (below <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> ppm) above the lapse rate and the cold point tropopause were observed on 29 July and 8 August 2017 <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx34" id="paren.92"><named-content content-type="post">see also Figs. <xref ref-type="fig" rid="F2"/>, <xref ref-type="fig" rid="F3"/>, and <xref ref-type="fig" rid="F6"/></named-content></xref>. There are also observations of enhanced water vapour mixing ratios of <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> ppm in the lowermost stratosphere over North America during and before the American monsoon <xref ref-type="bibr" rid="bib1.bibx65" id="paren.93"/>. However, such conditions of enhanced water vapour are not observed frequently.</p>
      <p id="d2e2363">On the flight on 8 August 2017 (Fig. <xref ref-type="fig" rid="F4"/>), the occurrence of ice particles was observed at <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">390</mml:mn></mml:mrow></mml:math></inline-formula> K (17 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) and an enhancement in gas-phase water vapour at <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula>–410 K (18–19 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) above the cold point tropopause in agreement with earlier reports <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx34" id="paren.94"/>. In moist, supersaturated air parcels, prevailing above the cold point tropopause, formation of ice particles is possible. However, it is not obvious that these ice clouds cause substantial dehydration because of a limited spatial and temporal extent of such air parcels and because of a limited size (causing a low sedimentation velocity) of the ice particles <xref ref-type="bibr" rid="bib1.bibx34" id="paren.95"/>.</p>
      <p id="d2e2412">Overall, we observe a certain variability of gas-phase water vapour in the Asian summer monsoon region as both dehydration of air caused by freeze drying (water vapour mixing ratios below about 3 ppm) and hydration caused by convective overshoots (water vapour mixing ratios <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>≲</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> ppm) of the cold point tropopause occurs <xref ref-type="bibr" rid="bib1.bibx17" id="paren.96"><named-content content-type="pre">consistent with the findings of</named-content></xref>.</p>
      <p id="d2e2430">The scientific flight on 10 August 2017 allowed the tropopause conditions of strong convection to be investigated. <xref ref-type="bibr" rid="bib1.bibx39" id="text.97"/> report that the cold point tropopause under such conditions is strongly tied to the convective cooling maximum. This is consistent with substantial ice particle occurrence around the cold point tropopause as observed during the flight on 10 August 2017 (Figs. <xref ref-type="fig" rid="F5"/> and <xref ref-type="fig" rid="F6"/>). The ice particles at the cold point exist in strongly supersaturated air (Fig. <xref ref-type="fig" rid="F7"/>) and will thus likely sediment. This would lead to dehydration at the cold point tropopause until a saturation of one is reached, again consistent with the conclusions of <xref ref-type="bibr" rid="bib1.bibx39" id="text.98"/>. The findings by <xref ref-type="bibr" rid="bib1.bibx39" id="text.99"/> that the cold point tropopause is strongly tied to convection suggests that dehydration processes at the cold point can be assumed as abrupt.</p>
      <p id="d2e2449">Our analysis for the flight on 10 August indicates that stratospheric water vapour mixing ratios in the Asian summer monsoon region are regulated by cold point temperatures, and that deep convection overshooting the lapse rate tropopause plays a relatively minor role in moistening the stratosphere <xref ref-type="bibr" rid="bib1.bibx60" id="paren.100"><named-content content-type="pre">supporting conclusions in earlier work based on remote sensing observations,</named-content></xref>. Further, the conclusion of very rapid transport from the ground up to the cold point on 10 August 2017 is also supported by the <inline-formula><mml:math id="M89" 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> measurements during this flight: <inline-formula><mml:math id="M90" 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> mixing ratios in the vicinity of the cold point (about 375 K, Fig. <xref ref-type="fig" rid="F6"/>) are of lower tropospheric character <xref ref-type="bibr" rid="bib1.bibx92" id="paren.101"><named-content content-type="pre">mixing ratios below about 400 ppm,</named-content><named-content content-type="post">their Fig. A3</named-content></xref>.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e2497">The lapse rate tropopause, in the ASMA, marks the top boundary of tropospheric air. Tropospheric air is vertically mixed, humid and relatively low in ozone; insofar, the lapse rate tropopause in the Asian summer monsoon constitutes an air mass boundary. Further, the lapse rate tropopause (in contrast to the cold point tropopause) constitutes a clear discontinuity in the profile of temperature against potential temperature (Fig. <xref ref-type="fig" rid="F1"/>, bottom, and electronic supplement). Nonetheless, the demarcation between the troposphere and the stratosphere is different for different trace species, for example there is freeze out of water vapour at the lowest temperatures, chemical production of ozone in the stratosphere and limited inmixing of aged lower stratospheric air into tropospheric air ascending into the lowermost stratosphere. Vertical ascent (<inline-formula><mml:math id="M91" display="inline"><mml:mover accent="true"><mml:mi mathvariant="italic">θ</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula>) in the ASMA through layers of constant potential temperature <inline-formula><mml:math id="M92" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> occurs according to the atmospheric heating rate (Eq. <xref ref-type="disp-formula" rid="Ch1.E2"/>) with no local (long-term) obstacle for vertical transport. The location of the lapse rate tropopause in the Asian summer monsoon is thus <italic>not</italic> determined by local processes.</p>
      <p id="d2e2524">Thus, the air masses below and above the lapse rate tropopause are very different. In other words, the lapse rate tropopause and the cold point tropopause are two different things (in spite of both being referred to as “tropopause”); they constitute boundaries of different air masses. Commonly, the cold point is located substantially (about 1 km) above the lapse rate tropopause. Above the cold point tropopause in the Asian Monsoon, the air is largely stratospheric; i.e., the air is dry and ozone mixing ratios increase with altitude.</p>
      <p id="d2e2527">Therefore, it is necessary to specify, whether convective systems are <italic>overshooting</italic> the lapse rate or the cold point tropopause. On some occasions, deep convective systems may penetrate the cold point tropopause. Under such conditions, sublimating cloud particles can humidify the air above the cold point tropopause. Such conditions were observed during the flight on 8 August 2017 (Fig. <xref ref-type="fig" rid="F4"/>) with total water mixing ratios of <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>≲</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> ppm <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> km (<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> K) above the cold point tropopause.</p>
      <p id="d2e2565">Moist plumes caused by convection above the cold point tropopause may reach a layer characterised by radiatively driven upward motion of <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx42" id="paren.102"/>. Thus, such moist air parcels – as long as they remain unmixed – will rise to greater potential temperatures (altitudes). This type of air parcels was also detected in balloon measurements in the ASMA above the cold point tropopause in 2016 and 2017 <xref ref-type="bibr" rid="bib1.bibx11" id="paren.103"/>. However, a hydration of the lowermost stratosphere is not regularly observed. Further, in such moist air parcels, new ice cloud formation is possible <xref ref-type="bibr" rid="bib1.bibx34" id="paren.104"/>.</p>
      <p id="d2e2605">When convection is strong (flight on 10 August 2017), particle occurrence and oversaturation is observed in close proximity of the cold point tropopause (Figs. <xref ref-type="fig" rid="F5"/>, top right, <xref ref-type="fig" rid="F6"/>, and <xref ref-type="fig" rid="F7"/>). A very strong enhancement of total water (i.e., ice particle occurrence) is noticeable close to the cold point tropopause at about 17.1 km (about <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> m around the cold point, Fig. <xref ref-type="fig" rid="F6"/>). The coincidence of the cold point tropopause and the ice particle occurrence at an altitude of <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">17.1</mml:mn></mml:mrow></mml:math></inline-formula> km leads to the hypothesis that the same processes are responsible for the formation of the cold point and for the formation of cloud particles. Thus strong convection should lead to dehydration at the cold point tropopause and not to a moistening of the stratosphere.</p>
      <p id="d2e2637">Further, a clear enhancement of ozone mixing ratios (up to about 250 ppb) is visible at the location of the cold point tropopause (Fig. <xref ref-type="fig" rid="F5"/>, top left). There is no indication in the Geophysica measurements in the Asian summer monsoon in 2017 of humidification of stratospheric air exceeding mixing ratios of <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> ppm of water vapour above the cold point tropopause. Overall, the air in the lower stratosphere above the Asian monsoon anticyclone is moister (water vapour mixing ratios of <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>–10 ppm) than in winter over the west Pacific (water vapour mixing ratios of <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> ppm).</p>
      <p id="d2e2672">Here we investigate solely measurements in the Asian monsoon anticyclone in 2017. However there is a substantial interannual variability of the monsoon (e.g., <xref ref-type="bibr" rid="bib1.bibx33" id="altparen.105"/>). To address this variability, the analysis of measurements in other years is required. Moreover, it will be possible to further exploit the aircraft measurements in 2017 by extending the analysis to other measurements on the plane.</p>
      <p id="d2e2678">Measurements of the species and quantities considered here (namely ozone, water vapour, temperature and cloud occurrence) are in principle also accessible through balloon-borne measurements <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx61 bib1.bibx22 bib1.bibx11 bib1.bibx10 bib1.bibx25 bib1.bibx19 bib1.bibx14" id="paren.106"><named-content content-type="pre">e.g.,</named-content></xref>. Measurements of cloud occurrence are not straightforward as it is difficult to cover the entire size range of cloud particles occurring in the atmosphere in measurements. In the future, when fewer satellite observations will be available <xref ref-type="bibr" rid="bib1.bibx69" id="paren.107"/> networks of balloon-borne observations might become increasingly important <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx10 bib1.bibx19" id="paren.108"/>. Therefore, in future work, an extension of the present analysis for the Asian monsoon will be possible (based on balloon-borne measurements), which will feature more profiles (and thus a better statistics) and will allow inter-annual as well as intra-seasonal variability to be addressed.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>The relation between altitude, potential temperature and pressure in the Asian summer monsoon</title>
      <p id="d2e2703">Frequently, there is the question regarding the relation between altitude, potential temperature and pressure in the upper troposphere and lower stratosphere <xref ref-type="bibr" rid="bib1.bibx38" id="paren.109"><named-content content-type="post">Fig. 2</named-content></xref> and in particular in the ASMA. Therefore, empirical fits <xref ref-type="bibr" rid="bib1.bibx79 bib1.bibx75" id="paren.110"><named-content content-type="pre">based on the aircraft measurements,</named-content><named-content content-type="post">in the Asian summer monsoon in 2017</named-content></xref> for the relations in question are provided here. The empirical (polynominal) fits are given below, the coefficients used for the fits are listed in Table <xref ref-type="table" rid="TA1"/>. For altitude and potential temperature one may use the ansatz:

          <disp-formula id="App1.Ch1.S1.E3" content-type="numbered"><label>A1</label><mml:math id="M103" display="block"><mml:mrow><mml:mtext>Altitude (km)</mml:mtext><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>⋅</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mo>⋅</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi>c</mml:mi><mml:mo>⋅</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi>d</mml:mi><mml:mo>⋅</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi>e</mml:mi><mml:mo>⋅</mml:mo><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mi>f</mml:mi></mml:mrow></mml:math></disp-formula>

        and likewise for pressure and potential temperature

          <disp-formula id="App1.Ch1.S1.E4" content-type="numbered"><label>A2</label><mml:math id="M104" display="block"><mml:mrow><mml:mtext>Pressure (hPa)</mml:mtext><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>⋅</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">5</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mo>⋅</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi>c</mml:mi><mml:mo>⋅</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi>d</mml:mi><mml:mo>⋅</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mi>e</mml:mi><mml:mo>⋅</mml:mo><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

        where <inline-formula><mml:math id="M105" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> is potential temperature for values greater than 350 K (see also Figs. <xref ref-type="fig" rid="FA1"/> and <xref ref-type="fig" rid="FA2"/>).</p>

<table-wrap id="TA1"><label>Table A1</label><caption><p id="d2e2870">Parameters for the empirical fits.</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>
         <oasis:entry colname="col1">Parameter</oasis:entry>
         <oasis:entry colname="col2">Value</oasis:entry>
         <oasis:entry colname="col3">Value</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(altitude fit)</oasis:entry>
         <oasis:entry colname="col3">(pressure fit)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M106" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mn mathvariant="normal">4.30</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.09</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M109" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">9.22</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.98</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M112" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.90</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.72</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M115" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.38</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">0</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.44</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">1</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M118" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.21</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.61</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M121" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.15</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.39</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e3204">The relation between altitude and potential temperature for all science flights from Kathmandu (dark). Measurements above the (mean) cold point tropopause are shown in light blue. Red line shows an empirical fit to the data for potential temperature greater than 350 K.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/4359/2026/acp-26-4359-2026-f08.png"/>

      </fig>

      <fig id="FA2"><label>Figure A2</label><caption><p id="d2e3216">The relation between pressure and potential temperature for all science flights from Kathmandu (dark). Measurements above the (mean) cold point tropopause are shown in light blue. Red line shows an empirical fit to the data for potential temperature greater than 350 K.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/4359/2026/acp-26-4359-2026-f09.png"/>

      </fig>

      <p id="d2e3225">The relation between pressure <inline-formula><mml:math id="M124" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> and altitude <inline-formula><mml:math id="M125" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> (for an altitude range 8–20 <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) is described well by an exponential dependence (not shown)

          <disp-formula id="App1.Ch1.S1.E5" content-type="numbered"><label>A3</label><mml:math id="M127" display="block"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mtext>fit</mml:mtext></mml:msub><mml:mo>⋅</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mi>z</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>H</mml:mi><mml:mtext>fit</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>

        with <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mtext>fit</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1242</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mtext>fit</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">6.42</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M131" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and where there is little variation of the relation above and below the tropopause (note that the values <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mtext>fit</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mtext>fit</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> are only fitting parameters, the relation is valid for 8–20 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>). The approximate values derived from Eq. (<xref ref-type="disp-formula" rid="App1.Ch1.S1.E5"/>) are shown in Table <xref ref-type="table" rid="TA2"/>.</p>

<table-wrap id="TA2"><label>Table A2</label><caption><p id="d2e3371">Approximate pressure (Eq. <xref ref-type="disp-formula" rid="App1.Ch1.S1.E5"/>) and potential temperature (Eq. <xref ref-type="disp-formula" rid="App1.Ch1.S1.E3"/>) at aircraft altitude for the Geophysica flights in 2017.</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">Alti. (km)</oasis:entry>
         <oasis:entry colname="col2">Press. (hPa)</oasis:entry>
         <oasis:entry colname="col3">Theta (K)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">5.</oasis:entry>
         <oasis:entry colname="col2">570</oasis:entry>
         <oasis:entry colname="col3">342</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6.</oasis:entry>
         <oasis:entry colname="col2">487</oasis:entry>
         <oasis:entry colname="col3">344</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7.</oasis:entry>
         <oasis:entry colname="col2">417</oasis:entry>
         <oasis:entry colname="col3">346</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">8.</oasis:entry>
         <oasis:entry colname="col2">357</oasis:entry>
         <oasis:entry colname="col3">348</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">9.</oasis:entry>
         <oasis:entry colname="col2">305</oasis:entry>
         <oasis:entry colname="col3">350</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">10.</oasis:entry>
         <oasis:entry colname="col2">261</oasis:entry>
         <oasis:entry colname="col3">352</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">11.</oasis:entry>
         <oasis:entry colname="col2">224</oasis:entry>
         <oasis:entry colname="col3">355</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">12.</oasis:entry>
         <oasis:entry colname="col2">191</oasis:entry>
         <oasis:entry colname="col3">358</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">13.</oasis:entry>
         <oasis:entry colname="col2">164</oasis:entry>
         <oasis:entry colname="col3">361</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">14.</oasis:entry>
         <oasis:entry colname="col2">140</oasis:entry>
         <oasis:entry colname="col3">365</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">15.</oasis:entry>
         <oasis:entry colname="col2">120</oasis:entry>
         <oasis:entry colname="col3">369</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">16.</oasis:entry>
         <oasis:entry colname="col2">103</oasis:entry>
         <oasis:entry colname="col3">376</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">17.</oasis:entry>
         <oasis:entry colname="col2">88</oasis:entry>
         <oasis:entry colname="col3">385</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">18.</oasis:entry>
         <oasis:entry colname="col2">75</oasis:entry>
         <oasis:entry colname="col3">409</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">19.</oasis:entry>
         <oasis:entry colname="col2">64</oasis:entry>
         <oasis:entry colname="col3">444</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">20.</oasis:entry>
         <oasis:entry colname="col2">55</oasis:entry>
         <oasis:entry colname="col3">480</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

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

      <p id="d2e3605">The code to calculate the location of the lapse rate tropopause is available at <uri>https://gitlab.physik.uni-muenchen.de/LDAP_ag-birner/tropopause/-/blob/master/tropopause.py</uri> (last access: 24 March 2026).</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e3614">The measurements used here were obtained during the scientific flights of the StratoClim aircraft campaign in summer 2017; the data are available on the HALO database at <uri>https://halo-db.pa.op.dlr.de/mission/101</uri> (last access: 24 March 2026) <xref ref-type="bibr" rid="bib1.bibx16" id="paren.111"/>.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e3623">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-26-4359-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-26-4359-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e3632">MK, CR and NS provided the FISH measurements used here; FR provided the ozone measurements used here. All co-authors discussed the results of the study and helped formulating the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e3638">At least one of the (co-)authors is a member of the editorial board of <italic>Atmospheric Chemistry and Physics</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e3647">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="d2e3653">We thank Fred Stroh very much for help with data processing and for comments on the quality of the measurements used here. We further gratefully acknowledge Matthias Riße and Gebhard Günther for help with the python code used for this study. We thank the TDC and the UCSE team very much for producing thermodynamic measurements, A. Lykov, V. Yushkov and the FLASH team for the gas-phase water vapour measurements, A. Ulanovsky, V. Yushkov and the FOZAN team for measurements of ozone on the high-flying laboratory Geophysica. Not being included as coauthors of the present work does not reflect any limitation in the scientific contribution of the TDC, UCSE, FLASH, and FOZAN teams. Two anonymous reviewers provided comments on the original manuscript, which helped improving the paper. We thank A. Tuck and P. Konopka for helpful comments and discussions.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e3658">The article processing charges for this open-access publication were covered by the Forschungszentrum Jülich.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e3665">This paper was edited by Jayanarayanan Kuttippurath and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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