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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-26-15405-2026</article-id><title-group><article-title>Characterizing variability and vertical structure of water vapor in the extratropical lower stratosphere</article-title><alt-title>Water vapor in the extratropical lower stratosphere</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Tinney</surname><given-names>Emily Nicole</given-names></name>
          <email>etinney@ucar.edu</email>
        <ext-link>https://orcid.org/0000-0002-0068-2211</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Randel</surname><given-names>William J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5999-7162</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Jun</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2020-9322</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>National Center for Atmospheric Research, Boulder, CO, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Emily Nicole Tinney (etinney@ucar.edu)</corresp></author-notes><pub-date><day>3</day><month>November</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>21</issue>
      <fpage>15405</fpage><lpage>15422</lpage>
      <history>
        <date date-type="received"><day>23</day><month>January</month><year>2026</year></date>
           <date date-type="rev-request"><day>3</day><month>February</month><year>2026</year></date>
           <date date-type="rev-recd"><day>21</day><month>August</month><year>2026</year></date>
           <date date-type="accepted"><day>24</day><month>August</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Emily Nicole Tinney 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/26/15405/2026/acp-26-15405-2026.html">This article is available from https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e96">Stratospheric water vapor strongly affects Earth’s radiative balance, especially in the extratropical lower stratosphere, yet large uncertainties remain regarding its variability, long-term trends and relationships to tropopause behavior. Here we characterize the seasonality, vertical structure, and variability of water vapor near the extratropical tropopause and the extratropical transition layer (ExTL). We analyze 17 years (2005–2021) of satellite observations from the Aura Microwave Limb Sounder (MLS) and the Atmospheric Chemistry Experiment Fourier transform spectrometer (ACE-FTS), with simulations from the Whole Atmosphere Community Climate Model (WACCM) using specified dynamics calculations. Analyses are performed in geometric and tropopause-relative vertical coordinates to assess the influence of coordinate on variability. Tropopause-relative coordinates substantially reduce variance in ExTL water vapor, but artificially enhance variability in the tropical upper troposphere. Tropopause-relative coordinates reveal a clear distinction between variability in the ExTL and the stratospheric overworld approximately 2.5 km above the tropopause. Above this level, there are hemispherically coherent anomalies linked to transport of air originating in the tropics. In contrast, ExTL variability lacks hemispheric coherence and likely reflects smaller-scale stratosphere-troposphere exchange. Interannual changes in ExTL water vapor show a statistically significant negative trend in both hemispheres in MLS data, but that behavior is not reproduced in ACE-FTS measurements or WACCM simulation. Despite this, the datasets agree well on overworld variability and regression responses to climate oscillations. The uncertainty in ExTL trends highlights the need for continued evaluation of long-term satellite records and improved model representation in this climatically sensitive layer.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Earth Sciences Division</funding-source>
<award-id>80NSSC23K1143</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Science Foundation</funding-source>
<award-id>1852977</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e108">Stratospheric water vapor (H<sub>2</sub>O) is a critical component of Earth’s radiative budget, and despite extremely low values relative to the troposphere even small changes in its concentration can have outsized impacts on surface temperatures and stratospheric circulation <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx58 bib1.bibx12" id="paren.1"/>. H<sub>2</sub>O in the extratropical lower stratosphere is especially important for radiative feedbacks <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx34 bib1.bibx2 bib1.bibx11" id="paren.2"/>, although the magnitude of such a feedback is still debated and results can depend on the models and method used in the calculation <xref ref-type="bibr" rid="bib1.bibx20" id="paren.3"/>. The tropopause in the extratropics is a complex transition region between the troposphere and stratosphere, with strong gradients in H<sub>2</sub>O, ozone, and other constituents and an interplay of large- and small-scale circulations and radiative processes; this transition region is often referred to as the Extratropical Transition Layer <xref ref-type="bibr" rid="bib1.bibx15" id="paren.4"><named-content content-type="pre">ExTL; e.g.,</named-content></xref>.</p>
      <p id="d2e153">When studying stratospheric H<sub>2</sub>O it can be useful to separate the stratosphere into different regions due to the underlying controlling processes and modes of transport. Specifically, the stratosphere is frequently divided into the stratospheric overworld and the (extratropical) lowermost stratosphere. The stratospheric overworld is conventionally defined as the region of the stratosphere above the 380 K isosurface of potential temperature, where composition is controlled by a source region near the tropical tropopause and the stratospheric transport circulation <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx22 bib1.bibx26" id="paren.5"/>. The lowermost stratosphere (LMS; also called the “middleworld”) is the region in the extratropics that exists below the 380 K isentrope but above the extratropical tropopause. Isentropes in the extratropical LMS cross into the tropical upper troposphere, but the subtropical jet acts as an effective transport barrier between these regions <xref ref-type="bibr" rid="bib1.bibx19" id="paren.6"/>. Overworld H<sub>2</sub>O is controlled by two main processes: upward transport through the tropical tropopause via the Brewer-Dobson Circulation <xref ref-type="bibr" rid="bib1.bibx7" id="paren.7"><named-content content-type="pre">BDC; e.g.,</named-content></xref> and methane oxidation in the upper stratosphere <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx66 bib1.bibx33" id="paren.8"><named-content content-type="pre">e.g.,</named-content></xref>. Air is freeze dried as it ascends into the stratosphere and the temperature of the tropical tropopause controls H<sub>2</sub>O concentrations. <xref ref-type="bibr" rid="bib1.bibx48" id="text.9"/> demonstrated that tropical cold point temperatures (CPT) explain more than <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> % of the variability in global stratospheric overworld H<sub>2</sub>O concentrations. Variations in CPT then leave a vertically and horizontally propagating imprint on overworld stratospheric H<sub>2</sub>O, commonly referred to as the “atmospheric tape recorder” <xref ref-type="bibr" rid="bib1.bibx43" id="paren.10"/>. In contrast, transport in the LMS is more complex, where stratosphere-troposphere exchange can be facilitated by Rossby wave breaking events, tropospheric intrusions, midlatitude cyclones, and tropopause-overshooting convection <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx62 bib1.bibx23 bib1.bibx24 bib1.bibx46 bib1.bibx44" id="paren.11"><named-content content-type="pre">e.g.,</named-content></xref>. These processes complicate H<sub>2</sub>O variability in the LMS, and their relative contributions are not well understood. A further complicating factor is the large variation in the tropopause structure itself on timescales of days to decades, including a large seasonal cycle in midlatitudes. Global observations of stratospheric water vapor are primarily collected by satellites with relatively low horizontal and vertical resolution, further limiting study of this region. Another complication is that global circulation models routinely overestimate the amount of LMS H<sub>2</sub>O in historical and present climates <xref ref-type="bibr" rid="bib1.bibx9" id="paren.12"><named-content content-type="pre">e.g.,</named-content></xref>, contributing to poor understanding of this region.</p>
      <p id="d2e263">The objective of this work is to analyze the seasonal and interannual variability and vertical structure of stratospheric H<sub>2</sub>O in the LMS and across the ExTL using satellite observations and a global chemistry-climate model. Specifically, we use a 17-year period of observations from the Aura Microwave Limb Sounder (MLS) and SCISAT-1’s Atmospheric Chemistry Experiment Fourier transform spectrometer (ACE-FTS) in conjunction with simulations using the Whole Atmosphere Community Climate Model (WACCM) run in specified dynamics mode with observed meteorological fields. We aim to quantify variability and highlight the role of different sources in shaping the distribution of H<sub>2</sub>O throughout the LMS. A key aspect of this work includes analysis in tropopause-following coordinates, in addition to standard geometric coordinates.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>MLS</title>
      <p id="d2e299">Measurements of water vapor, ozone, and temperature from 2005–2021 are sourced from the Earth Observing System (EOS) MLS aboard the Aura satellite, version 5.0x. While MLS data continue to 2026, our analyses use data to 2021 to avoid impacts of the Hunga Tonga-Hunga Ha'apai eruption in early 2022 <xref ref-type="bibr" rid="bib1.bibx41" id="paren.13"/>. Aura was launched in 2004 into a sun-synchronous satellite orbit with Equator crossing times of 01:30 and 13:30 local time as part of the NASA A-Train satellite constellation. MLS measures <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3600</mml:mn></mml:mrow></mml:math></inline-formula> profiles per day with a 1.5° along-track separation between measurements <xref ref-type="bibr" rid="bib1.bibx39" id="paren.14"/>. The retrieval range of MLS measurements varies by species; water vapor is observed from 316–0.001 hPa, ozone from 261–0.001 hPa and temperature from 261–0.00046 hPa, and the data are quality-controlled following the recommendations of <xref ref-type="bibr" rid="bib1.bibx39" id="text.15"/>. Retrievals are provided on a regular pressure grid, with data at 12 levels per decade of pressure (<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.25</mml:mn></mml:mrow></mml:math></inline-formula> km vertical sampling) for pressures greater than 1 hPa. The precision, accuracy, horizontal resolution, and vertical resolution of each species vary by altitude and are described in detail in <xref ref-type="bibr" rid="bib1.bibx39" id="text.16"/>. In our region of focus in the UTLS, the effective vertical resolution is <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> km for water vapor and ozone. The data analyzed here are monthly, zonal averages of level 2 (orbital) data binned in 2° latitude bins, which contain on the order of 1000 measurements per month over midlatitudes.</p>
      <p id="d2e345">We note that the previous version 4.x MLS data exhibited a spurious positive H<sub>2</sub>O drift in the stratosphere that was identified by <xref ref-type="bibr" rid="bib1.bibx27" id="text.17"/>. <xref ref-type="bibr" rid="bib1.bibx38" id="text.18"/> further identified that there was an increasing drift associated with the 190 GHz sideband fraction in the MLS measurement, and this was subsequently addressed and partially ameliorated in version 5.x processing. However, the MLS instrument team suggests continued caution in studies evaluating H<sub>2</sub>O trends using version 5 data <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx38" id="paren.19"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>ACE-FTS</title>
      <p id="d2e383">We also analyze satellite water vapor observations from the ACE-FTS (hereafter ACE) instrument from 2005–2021, using the version 5.2 retrieval <xref ref-type="bibr" rid="bib1.bibx3" id="paren.20"/>. ACE measures solar occultation spectra between 750 and 4400 cm<sup>−1</sup> at a spectral resolution of 0.02 cm<sup>−1</sup> to retrieve vertical profiles of temperature, pressure, and trace gas volume mixing ratios from the cloud tops to approximately 150 km. Altitude is the native vertical coordinate for these retrievals and the effective vertical resolution in the UTLS is about 3 km, oversampled at 1 km spacing. The instrument typically measures 30 profiles per day, requiring a three-month period to achieve near-global coverage (85° N–85° S). H<sub>2</sub>O validation of the ACE-FTS instrument in the UTLS is discussed in depth by <xref ref-type="bibr" rid="bib1.bibx21" id="text.21"/>. The recommended ACE v5.2 quality-control flags described in <xref ref-type="bibr" rid="bib1.bibx56" id="text.22"/> are applied to remove scientifically unsuitable profiles prior to analysis. We perform an additional simple quality control measure to eliminate extreme and non-physical measurements (particularly near and below the tropopause) from the dataset by removing data points that fall outside of the 2nd and 98th percentile values for their specific height and latitudinal region. Because of the much sparser sampling of ACE compared to MLS, we use 3-month (DJF, MAM, etc.) averages in 10° latitude bins, which typically contain <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula>–100 measurements over midlatitudes. We require a minimum of 10 data points per 3-month 10° latitude bin for a valid data sample. Because of frequent loss of ACE-FTS retrievals below the tropopause (due to clouds or other problems) there are often missing data, and these regions are indicated as data voids in the figures below.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>WACCM</title>
      <p id="d2e447">Numerical experiments were conducted using the Community Earth System Model version 2 with the Whole Atmosphere Community Climate Model version 6 as its atmospheric component <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx16" id="paren.23"><named-content content-type="pre">CESM2/WACCM6;</named-content></xref>. WACCM6 is a state-of-the-art chemistry–climate model that extends from the Earth’s surface to approximately 140 km and includes comprehensive troposphere–stratosphere–mesosphere–lower thermosphere (TSMLT) chemistry. In this study, WACCM6 is run in a specified-dynamics configuration (WACCM6-SD), with prescribed sea surface temperatures and sea ice. The simulations provide daily data covering the period 1980–2022 and use a horizontal resolution of 0.9° latitude <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.25</mml:mn></mml:mrow></mml:math></inline-formula>° longitude with the finite-volume dynamical core <xref ref-type="bibr" rid="bib1.bibx36" id="paren.24"/>. The model includes 70 vertical levels from the surface to <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">140</mml:mn></mml:mrow></mml:math></inline-formula> km, with a vertical resolution of approximately 500 m in the upper troposphere and lower stratosphere (UTLS). In the specified-dynamics configuration, temperature and winds (<inline-formula><mml:math id="M25" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M26" display="inline"><mml:mi>V</mml:mi></mml:math></inline-formula>) are nudged toward the Modern-Era Retrospective Analysis for Research and Applications Version 2 (MERRA-2) reanalysis <xref ref-type="bibr" rid="bib1.bibx14" id="paren.25"/> using a 12 h  relaxation timescale. This configuration has been shown to realistically reproduce key modes of stratosphere–troposphere coupling, including the quasi-biennial oscillation and stratospheric sudden warmings. It also provides a realistic representation of large-scale transport in the UTLS region and has been widely used in troposphere–stratosphere transport studies <xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx47 bib1.bibx64" id="paren.26"><named-content content-type="pre">e.g.,</named-content></xref>. For a direct comparison with MLS, we restrict the analysis to 2005–2021, interpolate to the MLS vertical grid, and compute monthly, zonal averages in 2° latitude bins.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Tropopause-relative coordinates</title>
      <p id="d2e510">Studies of UTLS composition can benefit from analyses using alternative coordinate systems, both vertically and horizontally <xref ref-type="bibr" rid="bib1.bibx42" id="paren.27"/>. Various vertical coordinate systems can be used to reduce the composition variability associated with changes in tropopause height to isolate other sources of variability, such as from stratosphere-troposphere exchange. For analysis of H<sub>2</sub>O in the lowermost stratosphere, tropopause-relative altitude is a common vertical coordinate and has been frequently used in previous studies <xref ref-type="bibr" rid="bib1.bibx62 bib1.bibx5 bib1.bibx55 bib1.bibx15 bib1.bibx61 bib1.bibx45" id="paren.28"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d2e530">In this study we conduct analyses in both geometric (e.g. pressure, altitude) and tropopause-relative coordinates. Tropopause-relative calculations are computed for daily observations before aggregating the results into monthly (MLS, WACCM) or 3-monthly (ACE) means. For ACE and MLS, a reference tropopause is computed from three-hourly MERRA-2 reanalysis data <xref ref-type="bibr" rid="bib1.bibx14" id="paren.29"/> and interpolated in space and time to each profile location. The tropopause is also calculated daily in WACCM6 as the reference for the model profiles. Since the model is nudged to MERRA-2, these two tropopause datasets are nearly identical. The results shown here use the potential temperature gradient tropopause <xref ref-type="bibr" rid="bib1.bibx63" id="paren.30"><named-content content-type="pre">PTGT;</named-content></xref> as the reference tropopause definition. We also tested tropopause-relative calculations using the World Meteorological Organization <xref ref-type="bibr" rid="bib1.bibx65" id="paren.31"><named-content content-type="pre">WMO;</named-content></xref> lapse-rate tropopause definition, finding consistent results with the PTGT (not shown). For MLS and WACCM, data is placed into tropopause-relative logarithmic pressure bins with a resolution corresponding to 12 levels per decade of pressure (<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>z</mml:mi><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.25</mml:mn></mml:mrow></mml:math></inline-formula> km), while ACE observations are placed into 1 km tropopause-relative altitude bins. Monthly zonal means are then computed for MLS and WACCM data and three-monthly seasonal means are computed for ACE. The tropopause-relative vertical coordinates are transformed back into an estimated geometric coordinate using the climatological mean tropopause pressure, with the logarithmic pressure bins becoming a “pseudo-pressure” coordinate. Some of our results include (area-weighted) extratropical tropopause averages, including monthly/seasonal data points poleward of 20° N/S where the local tropopause pressure exceeds 150 hPa, indicative of the lower-tropopause (extratropical) environments poleward of the tropopause break <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx23 bib1.bibx50" id="paren.32"/>. This requirement constrains the analysis to at least partially exclude summer monsoon anticyclones, which frequently exhibit tropopause pressures of <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">150</mml:mn></mml:mrow></mml:math></inline-formula> hPa <xref ref-type="bibr" rid="bib1.bibx37" id="paren.33"/>.</p>
      <p id="d2e577">An example of the H<sub>2</sub>O variability compared in geometric vs. tropopause-relative coordinates is illustrated in Fig. <xref ref-type="fig" rid="F1"/>a–b, showing time series of MLS, ACE, and WACCM data at one location near the midlatitude tropopause (45° N, 215 hPa, 12 km). In geometric coordinates (Fig. <xref ref-type="fig" rid="F1"/>a) there is a large annual cycle of H<sub>2</sub>O with maxima during boreal summer, which closely follows the well-known annual cycle in midlatitude tropopause pressure (Fig. <xref ref-type="fig" rid="F1"/>c). Time series in tropopause-relative coordinates (Fig. <xref ref-type="fig" rid="F1"/>b) show a much smaller annual cycle, with smaller maxima during boreal summer. The comparisons in Fig. <xref ref-type="fig" rid="F1"/>a–b show larger H<sub>2</sub>O values near the extratropical tropopause for WACCM compared to MLS and ACE, and this is a general behavior as shown and discussed further below.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e621">Upper and middle panels show time series of zonal mean H<sub>2</sub>O at 45° N, 215 hPa (12 km), close to the midlatitude tropopause, from MLS data (red), ACE data (black dots), and WACCM simulation (green). <bold>(a)</bold> time series in geometric coordinates, <bold>(b)</bold> time series in tropopause-relative coordinates. Variations in tropopause pressure are shown in <bold>(c)</bold>. Panels <bold>(d)</bold>–<bold>(f)</bold> show the corresponding deseasonalized anomalies.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f01.png"/>

        </fig>

      <p id="d2e655">Time series of the respective deseasonalized anomalies are shown in Fig. <xref ref-type="fig" rid="F1"/>d–f. Tropopause-relative calculations (Fig. <xref ref-type="fig" rid="F1"/>e) show a reduction in H<sub>2</sub>O variance around the midlatitude tropopause compared to geometric coordinates by <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> % (Fig. 1d), due to removal of variability tied to the dynamic tropopause. This reduction in variance is consistent with the results of <xref ref-type="bibr" rid="bib1.bibx21" id="text.34"/>. Figure <xref ref-type="fig" rid="F2"/> shows global comparisons of deseasonalized H<sub>2</sub>O variance in the two coordinate systems. In geometric coordinates (Fig. <xref ref-type="fig" rid="F2"/>a) there are maxima concentrated around the ExTL region of both hemispheres concentrated in the ExTL region, primarily linked with variations in the tropopause itself. Calculations in tropopause-relative coordinates (Fig. <xref ref-type="fig" rid="F2"/>b) substantially reduce the ExTL variability, as the variance associated with changes in the height of the tropopause is removed. Similar patterns are found when this analysis is conducted on the WACCM simulation (not shown).</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e702">The normalized standard deviation for deseasonalized MLS H<sub>2</sub>O anomalies in <bold>(a)</bold> geometric and <bold>(b)</bold> tropopause-relative coordinates. Values are in % compared to the time average background H<sub>2</sub>O. The average height of the PTGT is shown as the solid black line.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f02.png"/>

        </fig>

      <p id="d2e735">In contrast to the reduction of variance near the ExTL, the use of tropopause-relative coordinates substantially increases H<sub>2</sub>O variability throughout the tropical upper troposphere and below the subtropical jets (Fig. <xref ref-type="fig" rid="F2"/>b – note maxima near 30° N and S and near the equator). This is an artifact of the tropopause-relative coordinate calculations. The tropical upper troposphere is characterized by strong vertical gradients in water vapor concentration, and small variations in tropopause altitude can lead to large changes in tropopause-relative water vapor. We find that much of the enhanced H<sub>2</sub>O variance in this region is due to low frequency changes in tropopause height driven by ENSO and QBO variations <xref ref-type="bibr" rid="bib1.bibx49" id="paren.35"/>. As a result, using tropopause-relative coordinates introduces artificial H<sub>2</sub>O variability in the tropical upper troposphere, and is a poor coordinate choice for this region. Similarly, the increased variance in Antarctic tropopause-relative tropospheric H<sub>2</sub>O stems from strong variations in the identified tropopause, where extreme stability makes tropopause identifications difficult. While the PTGT used here improves upon the frequent tropopause misidentifications by the LRT in polar winter, there are likely still cases where the diagnosed tropopause artificially increases the H<sub>2</sub>O variability in the polar upper troposphere. However, this has minimal impact on our results focused on the extratropics.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Time mean structure</title>
      <p id="d2e805">Long-term average (2005–2021) cross sections of H<sub>2</sub>O from MLS, ACE and WACCM are shown in Fig. <xref ref-type="fig" rid="F3"/>, with results in both geometric and tropopause-relative coordinates. Patterns highlight the moist troposphere, dry stratosphere and strong gradients across the global tropopause. The tropopause-relative calculations highlight local vertical stratification in the extratropics compared to “fuzzy” structure in geometric coordinates. Careful comparison of the WACCM vs. MLS (or ACE) observations shows enhanced WACCM moisture in the extratropical lowermost stratosphere, and this is quantified in the (WACCM-MLS)/MLS percentage differences shown in Fig. <xref ref-type="fig" rid="F4"/>. Compared with MLS, WACCM H<sub>2</sub>O is more than 300 % higher in polar regions and more than 200 % higher in subtropical environments in the lower stratosphere of both hemispheres. Such moist biases in the LMS are a common problem for global models, as highlighted in <xref ref-type="bibr" rid="bib1.bibx9" id="text.36"/>. We note that this biased H<sub>2</sub>O behavior is not simply due to circulation or temperature biases in WACCM, as our simulations use specified dynamics calculations with observed meteorological fields.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e845">Time average H<sub>2</sub>O from MLS, ACE and WACCM (left to right), analyzed in geometric <bold>(a–c)</bold> and tropopause-relative coordinates <bold>(d–f)</bold>. ACE data is masked in gray where sampling is limited (<inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> observations across 17 years.) Curly brackets on the color bar delineate grouped value ranges corresponding to a non-uniformly spaced discrete scale.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f03.png"/>

        </fig>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e881">Time average H<sub>2</sub>O differences between WACCM and MLS. Results are calculated as percentage (WACCM-MLS)/MLS values.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Seasonal ExTL behavior</title>
      <p id="d2e907">Seasonal averages in zonal mean tropopause-relative H<sub>2</sub>O concentration and atmospheric temperature as observed by MLS are shown in Fig. <xref ref-type="fig" rid="F5"/>. The tropopause acts as a transport barrier in the extratropics, where there is a sharp gradient in all seasons and in both hemispheres. In the deep tropics, tropopause temperatures vary from <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">192</mml:mn></mml:mrow></mml:math></inline-formula> K in December, January, and February (DJF) to more than 196 K in June, July, and August (JJA). This seasonal pattern is reflected by in-phase H<sub>2</sub>O concentrations at the tropical tropopause (low H<sub>2</sub>O during DJF), and this seasonal minimum subsequently propagates upwards in the tropics and spreads in latitude in the lower stratosphere over most of the globe, demonstrating the well-known “tape recorder” signal <xref ref-type="bibr" rid="bib1.bibx43" id="paren.37"/>. The meridional transport of air via the shallow branch of the BDC is evident in the dry layers extending along isentropic layers to higher latitudes in MAM and all the way to the North Pole in JJA. Notably, this seasonally-varying dry layer does not extend all the way down to the tropopause in the extratropics but stays above <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">215</mml:mn></mml:mrow></mml:math></inline-formula> hPa in the pseudo-pressure coordinates. Air in between this dry layer and the extratropical tropopause is wetter and is a signature of the ExTL. The summer hemisphere ExTL is particularly enhanced relative to the background stratosphere.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e965">Zonally averaged cross sections of MLS H<sub>2</sub>O data in tropopause-relative coordinates for <bold>(a)</bold> DJF, <bold>(b)</bold> MAM, <bold>(c)</bold> JJA, <bold>(d)</bold> SON. Color shading denotes the average MLS H<sub>2</sub>O concentration, gray contours indicate temperature as observed by MLS, and black contours denote isentropes. The thick, dashed line is the average PTGT height for each season, calculated from MERRA-2 data. Curly brackets on the color bar delineate grouped value ranges corresponding to a non-uniformly spaced discrete scale.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f05.png"/>

        </fig>

      <p id="d2e1005">The hemisphere-averaged annual cycle of lower stratospheric MLS water vapor concentrations in tropopause-following coordinates for both hemispheres is shown in Fig. <xref ref-type="fig" rid="F6"/>a and c. These data represent area-weighted latitudinal and zonal averages poleward of 20° latitude, as described in Sect. <xref ref-type="sec" rid="Ch1.S2.SS4"/>, and are intended to represent mean hemispheric behaviors. As expected, there are strong vertical gradients across the tropopause. In both the Northern Hemisphere (NH) and Southern Hemisphere (SH) there is a clear annual cycle in upper tropospheric water vapor concentrations which peaks in hemispheric summer (labeled “B” in Fig. <xref ref-type="fig" rid="F6"/>a and c), extending to the first layer above the tropopause (and weakly to the second layer). In the NH, water vapor concentration peaks at <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">16</mml:mn></mml:mrow></mml:math></inline-formula> ppmv in August in the first layer above the tropopause (<inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.25</mml:mn></mml:mrow></mml:math></inline-formula> km), while there is a peak of <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> ppmv in October that occurs <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> km above the tropopause. There is a similar summertime maximum in the SH for these lowest two stratospheric layers but with smaller amplitude. The dry layer associated with air originating near the tropical tropopause can be seen in Fig. <xref ref-type="fig" rid="F6"/>a and c in both hemispheres (labeled “A” in Fig. <xref ref-type="fig" rid="F6"/>a and c), occurring <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>–4 km above the tropopause in February–August; this signal lags the seasonal H<sub>2</sub>O minimum at the tropical tropopause by several months, and is coherent between hemispheres. This distinct seasonal cycle helps define the overworld influence on the water vapor concentrations in the extratropics. It follows that the height of this layer can be used as an upper boundary when defining the ExTL, providing a physically based definition to a layer that fluctuates in both space and time. Although not shown here, similar LMS H<sub>2</sub>O seasonal cycles are observed in ACE data, but with limited resolution resulting from the 3-month temporal sampling.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e1091">Average annual cycle of area-averaged H<sub>2</sub>O concentrations in tropopause-relative coordinates for NH <bold>(a, b)</bold> and SH <bold>(c, d)</bold>, showing results from MLS data <bold>(a, b)</bold> and WACCM simulation <bold>(b, d)</bold>. The white horizontal dashed lines denote the tropopause level. The ordinate is tropopause-relative altitude. Letters denote specific features related to: (A) seasonal minimum due to overworld transport from tropics, (B) seasonal ExTL maximum tied to summer tropopause, and (C) minimum linked to Antarctic winter dehydration. Curly brackets on the color bar delineate grouped value ranges corresponding to a non-uniformly spaced discrete scale.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f06.png"/>

        </fig>

      <p id="d2e1121">Corresponding extratropical LMS seasonal variations for WACCM are shown in Fig. <xref ref-type="fig" rid="F6"/>b and d. In WACCM, the ExTL has higher H<sub>2</sub>O concentrations than MLS and extends <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>–2 km deeper into the stratosphere in both hemispheres, consistent with the time average biases seen in Fig. <xref ref-type="fig" rid="F4"/>. Hence, the time average WACCM LMS H<sub>2</sub>O biases are reflected in a thicker seasonally-evolving ExTL.</p>
      <p id="d2e1156">One further minor feature identified in the SH statistics in Fig. <xref ref-type="fig" rid="F6"/>c and d is a minimum in H<sub>2</sub>O in the SH during August–October, <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>–7 km above the tropopause (i.e. geometric altitudes near 15–17 km) (labeled “C” in Fig. <xref ref-type="fig" rid="F6"/>c and d). The altitude and timing of this feature suggest a relation to seasonal dehydration in the Antarctic polar vortex, where effects can spread outside the polar vortex in springtime <xref ref-type="bibr" rid="bib1.bibx53" id="paren.38"><named-content content-type="pre">e.g.,</named-content></xref> and may be reflected in hemispheric mean H<sub>2</sub>O. </p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Interannual Variability</title>
      <p id="d2e1206">To assess interannual variability and structure, the average monthly seasonal cycle is removed from the MLS time series to create deseasonalized anomalies, with time series for both hemispheres shown in Fig. <xref ref-type="fig" rid="F7"/>. There is a distinct separation of patterns in the vertical structure occurring around <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> km above the tropopause in both hemispheres. Above 2.5 km tropopause-relative altitude there are interannual H<sub>2</sub>O anomalies that are coherent between hemispheres. This variability is closely tied to overworld transport from the tropical tropopause source region, such that air is transported poleward into the extratropical LMS with a time scale of <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>–4 months <xref ref-type="bibr" rid="bib1.bibx52" id="paren.39"><named-content content-type="pre">e.g.,</named-content></xref>. In the ExTL below 2.5 km tropopause-relative altitude, the interannual patterns are different from above and variability is dominated by an apparent long-term decreasing trend in both hemispheres. This trend is further investigated in Sect. <xref ref-type="sec" rid="Ch1.S3.SS4"/>. Notably, even when the ExTL H<sub>2</sub>O trend is removed, the vertical discontinuity in overworld and ExTL H<sub>2</sub>O remains (see Fig. S1 in the Supplement).</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e1268">Time series of deseasonalized ExTL area-averaged MLS H<sub>2</sub>O anomalies in tropopause-relative coordinates for <bold>(a)</bold> the NH and <bold>(b)</bold> the SH. Results at each level are expressed in percent deviations from the respective time mean background values.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f07.png"/>

        </fig>

      <p id="d2e1292">A complementary perspective of the NH and SH H<sub>2</sub>O anomalies in MLS data at several vertical levels is shown in the time series in Fig. <xref ref-type="fig" rid="F8"/>. These show time series of overlaid NH and SH data to highlight correlated variability. Strong correlation (<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.70</mml:mn></mml:mrow></mml:math></inline-formula>) is found at the 3rd level (<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> km above the tropopause), with somewhat weaker correlation (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.41</mml:mn></mml:mrow></mml:math></inline-formula>) over the 1.2–2.5 km layer. The first layer (0–1.25 km, within the ExTL) has weak interhemispheric correlation, aside from the strong trends.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e1343">Time series of deseasonalized, tropopause-relative MLS H<sub>2</sub>O anomalies in the three layers close to the tropopause (<bold>c</bold> to <bold>a</bold>). NH points are shown in blue, SH points in red, and the trend for each hemisphere is shown as a dashed line in the associated color. The correlation between hemispheres in the detrended time series is given in the bottom left corner of each panel.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f08.png"/>

        </fig>

      <p id="d2e1367">Figure <xref ref-type="fig" rid="F9"/> provides additional evidence regarding the origin and transport of extratropical overworld H<sub>2</sub>O anomalies, showing spatial correlations between deseasonalized and detrended water vapor anomalies to a reference point located near the tropical tropopause (83 hPa), with results in both geometric and tropopause-relative coordinates. At zero-time lag there are positive correlations centered in the tropics and extending poleward in a hemispherically symmetric pattern. The tropopause-relative calculations show strong correlations extending downward through the tropical upper troposphere, but this is an artifact of the tropopause-relative coordinates that is not observed in geometric coordinates. At a 2-month time lag, which is the general timescale of poleward transport from the tropics to the extratropical LMS <xref ref-type="bibr" rid="bib1.bibx48" id="paren.40"><named-content content-type="pre">e.g.,</named-content></xref>, the regions of highest correlations spread upward and further poleward in both coordinate systems. The tropopause-relative analysis shows higher extratropical correlations (above 0.6) and more vertically confined branches of positive correlations in the extratropical and polar regions, with the highest correlations occurring a few kms (<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> hPa) above the tropopause. This is collocated with the dry layer of tropical origin shown in Figs. <xref ref-type="fig" rid="F5"/> and <xref ref-type="fig" rid="F6"/>a–b, and quantifies the vertical profile of overworld transport from the tropics that defines the effective top of the ExTL. Parallel analysis of the WACCM simulation is given in Fig. S2.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e1403">Correlation of deseasonalized MLS water vapor anomalies at each point with the anomaly near the tropical tropopause (teal X; 83 hPa). Correlations are shown in both <bold>(a, b)</bold> tropopause-relative and <bold>(c, d)</bold> geometric coordinate systems at <bold>(a, c)</bold> zero-time lag and <bold>(b, d)</bold> a two-month time lag.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f09.png"/>

        </fig>

      <p id="d2e1424">The observed distinction between overworld and ExTL, as identified by their vertical structure and temporal behavior, raises the question of whether similar behavior occurs for other trace gases. Identical to the analysis conducted for Fig. <xref ref-type="fig" rid="F7"/>, deseasonalized ozone anomalies from MLS are shown in Fig. <xref ref-type="fig" rid="F10"/>. In contrast to the H<sub>2</sub>O results, there is a coherent vertical structure in each hemisphere in the ozone anomalies that extends from the overworld down to across the tropopause, with no evidence of discontinuity across the ExTL (although the background amounts of ozone changes significantly). Given that H<sub>2</sub>O and ozone both exhibit large gradients across the tropopause, one might expect a similar behavior in the vertical continuity (or lack thereof) in the two trace gases. However, the exact vertical tropopause-relative locations and magnitudes of such gradients vary substantially between H<sub>2</sub>O and ozone, such that H<sub>2</sub>O experiences a far more extreme transition across the extratropical tropopause than ozone (see Fig. 11 in <xref ref-type="bibr" rid="bib1.bibx62" id="altparen.41"/>). The distinct behavior for H<sub>2</sub>O compared to ozone is therefore realistic due to the large reservoir of H<sub>2</sub>O below the tropopause together with the source of overworld variability in the tropics. Additionally, there is little correlation in the ozone anomalies between the NH and SH because the location of the strongest ozone gradient exists well above the tropopause (<inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>–7 km), where variability is more sensitive to extratropical downwelling which is mostly independent between hemispheres.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e1501">Time series of deseasonalized ExTL area-averaged MLS ozone anomalies for <bold>(a)</bold> the NH and <bold>(b)</bold> the SH. Results at each level are expressed in percent deviations from the respective time mean background values.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f10.png"/>

        </fig>

      <p id="d2e1517">For comparison with MLS, we also examine deseasonalized water vapor anomalies in ACE and WACCM in Fig. <xref ref-type="fig" rid="F11"/> and the ACE and WACCM versions of Fig. <xref ref-type="fig" rid="F7"/> are given in Figs. S3 and S4. The broad, hemispherically coherent interannual variability seen in MLS above <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> km tropopause-relative altitude is also present in the ACE and WACCM datasets (Fig. <xref ref-type="fig" rid="F11"/>a–b). ACE reproduces the timing and vertical extent of H<sub>2</sub>O anomalies seen in MLS but with greater noise and reduced amplitude, likely related to the latitudinally-varying sampling across seasons. Despite this limitation, the sign and phase of anomalies generally match MLS, supporting consistency between observational datasets. WACCM also matches the overall structure and phase of the overworld anomalies seen in MLS, which is expected due to the prescribed tropical tropopause temperatures used in the specified dynamics run. However, the magnitude of the WACCM variability is substantially larger than MLS, perhaps due to the vertical smearing (<inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> km) inherent in the MLS data. While the overworld H<sub>2</sub>O variations are consistent among MLS, ACE, and WACCM, the ExTL variations are markedly different between datasets as neither ACE nor WACCM displays the negative trend observed from MLS in the ExTL layer (Fig. <xref ref-type="fig" rid="F8"/>c). These comparisons are explored further in Sect. <xref ref-type="sec" rid="Ch1.S4"/>. Importantly, the magnitude of the trend in the MLS ExTL makes investigation of dataset comparisons of other variability in this layer infeasible.</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e1571">Time series of deseasonalized, tropopause-relative H<sub>2</sub>O anomalies in three layers close to the tropopause (bottom to top) for ACE observations <bold>(a, c, e)</bold> and WACCM simulation <bold>(b, d, f)</bold>. The format is the same as the MLS results in Fig. <xref ref-type="fig" rid="F8"/>, but note the different ordinate for WACCM compared to MLS and ACE. </p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f11.png"/>

        </fig>

      <p id="d2e1597">The vertical variation of the correlation between water vapor anomalies in the NH and SH in each dataset is explored in Fig. <xref ref-type="fig" rid="F12"/>.  The hemispheric correlations in MLS, ACE, and WACCM exhibit a similar vertical structure, with a minimum in the first or second layer above the tropopause, and a maximum that occurs around 4–5 km above the tropopause. Throughout the vertical profile, hemispheric correlation in ACE is consistently 0.1–0.3 smaller than MLS. This is likely a reflection of the sparser sampling of the ACE dataset. Comparisons of seasonal means between hemispheres can remain sensitive to the latitudinal distribution of contributing profiles, thereby adding additional sources of variability and reducing the correlation coefficient between hemispheres. The hemispheric correlation in WACCM above 5 km tropopause-relative altitude is nearly identical to MLS, which is expected due to specified dynamics and prescribed tropopause temperatures in the model accurately reflecting stratospheric overworld behavior. Below 5 km tropopause-relative altitude, however, the values of the correlation coefficients in WACCM are systematically smaller than MLS. This behavior may be a signature of the moist LMS bias and deeper extent of the ExTL in WACCM (e.g., Fig. <xref ref-type="fig" rid="F6"/>).</p>

      <fig id="F12"><label>Figure 12</label><caption><p id="d2e1606">Correlation coefficient between NH and SH extratropical detrended and deseasonalized H<sub>2</sub>O anomalies on tropopause-relative levels for MLS (red), WACCM (green), and ACE (teal). Subjectively identified regions are depicted by background shading for the ExTL (red), the overworld (blue), and a hybrid zone (purple).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f12.png"/>

        </fig>

      <p id="d2e1624">The commonality of higher hemispheric correlation above 4 km tropopause-relative altitude in all three datasets demonstrates that hemispheric symmetry is a robust signature of the stratospheric overworld, resulting from a common stratospheric entry point and similar transport times of the lower branch of the BDC <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx52" id="paren.42"><named-content content-type="pre">e.g.,</named-content></xref>. In diagnosing the vertical structure of the lower stratosphere, hemispheric symmetry and correlation can provide a physical indicator of the separation between the stratospheric overworld, the ExTL, and the hybrid region in between (Fig. <xref ref-type="fig" rid="F12"/>).</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Trends and other sources of variability in the ExTL</title>
      <p id="d2e1642">The dominant variability in the ExTL in MLS H<sub>2</sub>O data is a downward trend (Fig. <xref ref-type="fig" rid="F8"/>c). However, this trend is not evident in either ACE observations or WACCM simulation (Fig. <xref ref-type="fig" rid="F11"/>). Here we examine large-scale variability and trends in the global data sets to identify coherent structures and systematically evaluate trends. We conduct a standard multivariate linear regression to the H<sub>2</sub>O time series at each point and include terms representing a linear trend, ENSO, and the QBO (using two orthogonal time series) to isolate their respective contributions to observed variability <xref ref-type="bibr" rid="bib1.bibx18" id="paren.43"><named-content content-type="pre">e.g.,</named-content></xref>:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M99" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>y</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">ENSO</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">QBO</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">QBO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula> represents the trend term and <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the residual. The ENSO and QBO proxies are taken from the NOAA Physical Sciences Laboratory Multivariate ENSO Index (MEI) and the NASA Goddard Space Flight Center QBO datasets, respectively. Statistical significance of regression coefficients was assessed using a two-sided Student's <inline-formula><mml:math id="M102" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>-test with a <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> significance threshold. To account for serial autocorrelation in the regression residuals, an effective sample size for each dataset was calculated as:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M104" display="block"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">eff</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi>N</mml:mi><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M105" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the number of observations and <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the lag-1 autocorrelation of the regression residuals. The effective sample size was then used when computing the standard errors and resulting <inline-formula><mml:math id="M107" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-values of the regression coefficients. Results are calculated for both geometric and tropopause-relative coordinates.</p>

      <fig id="F13" specific-use="star"><label>Figure 13</label><caption><p id="d2e1885">Latitude-height sections of H<sub>2</sub>O trends for MLS data <bold>(a, d)</bold>, ACE data <bold>(b, e)</bold> and WACCM simulation <bold>(c, f)</bold>, calculated in geometric coordinates <bold>(a–c)</bold> and tropopause-relative coordinates <bold>(d–f)</bold>. Results are shown in % per decade, calculated with respect to the respective long-term background values. Stippling denotes regression coefficients significant at the <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> level. ACE data is masked in gray where fewer than half of timesteps have sufficient observations.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f13.png"/>

        </fig>

      <p id="d2e1931">Results of the trend calculations are shown for all three data sets in Fig. <xref ref-type="fig" rid="F13"/>. Trends in the overworld are generally positive in all data, reflecting a slight increase in cold point temperature over the data record 2005–2021. Similar positive stratospheric H<sub>2</sub>O trends over this time period have been shown in <xref ref-type="bibr" rid="bib1.bibx57" id="text.44"/>, <xref ref-type="bibr" rid="bib1.bibx60" id="text.45"/>, <xref ref-type="bibr" rid="bib1.bibx30" id="text.46"/>, and <xref ref-type="bibr" rid="bib1.bibx66" id="text.47"/>. In contrast, H<sub>2</sub>O trends in the troposphere and ExTL of both hemispheres are very different among the datasets. MLS exhibits negative trends in the global upper troposphere and ExTL regions, with patterns that generally follow the global tropopause structure. The trends are slightly more negative in tropopause-relative coordinates, reflecting the slight rise of the tropopause over this period <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx40" id="paren.48"><named-content content-type="pre">e.g.,</named-content></xref>, which acts to reduce H<sub>2</sub>O values in the tropopause region, all else being equal. However, these systematic, large-scale negative trends derived from MLS data are not evident in either ACE observations or WACCM simulation, and these differences question the reality of the MLS trend results in the troposphere and ExTL, as discussed further below.</p>

      <fig id="F14" specific-use="star"><label>Figure 14</label><caption><p id="d2e1984">Latitude-height sections of ENSO regression fit to H<sub>2</sub>O for MLS data <bold>(a, d)</bold>, ACE data <bold>(b, e)</bold> and WACCM simulation <bold>(c, f)</bold>, calculated in geometric coordinates <bold>(a–c)</bold> and tropopause-relative coordinates <bold>(d–f)</bold>. Results are shown in % per normalized ENSO index, calculated with respect to the respective long-term background values. Stippling denotes regression coefficients significant at the <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> level. ACE data is masked in gray where fewer than half of timesteps have sufficient observations.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f14.png"/>

        </fig>

      <p id="d2e2030">Regression fits for ENSO variability are shown in Fig. <xref ref-type="fig" rid="F14"/>. In general, H<sub>2</sub>O is expected to follow temperature changes throughout the troposphere (from the Clausius-Clapeyron relationship), so that positive H<sub>2</sub>O ENSO regression patterns are expected in the troposphere following the well-known positive zonal mean temperature changes for ENSO <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx29" id="paren.49"><named-content content-type="pre">e.g.,</named-content></xref>. This positive ENSO signal is observed in MLS, ACE, and WACCM geometric coordinate results (top row in Fig. <xref ref-type="fig" rid="F14"/>), with patterns covering the tropical upper troposphere and extending across the tropopause to higher latitudes in both hemispheres. Hence, ENSO is a significant component of ExTL H<sub>2</sub>O variability. However, the broad-scale ENSO signature is much less coherent (and insignificant) in tropopause-relative coordinates (bottom row of Fig. <xref ref-type="fig" rid="F14"/>), because the ENSO-related changes in tropopause height confuse the signal in the tropics.</p>

      <fig id="F15"><label>Figure 15</label><caption><p id="d2e2074">Latitude-height sections of QBO1 regression fit to H<sub>2</sub>O for MLS data, calculated in geometric coordinates <bold>(a)</bold> and tropopause-relative coordinates <bold>(b)</bold>. Results are shown in % per normalized QBO1 index, calculated with respect to the respective long-term background values. Stippling denotes regression coefficients significant at the <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> level.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/15405/2026/acp-26-15405-2026-f15.png"/>

        </fig>

      <p id="d2e2110">The global QBO1 pattern in MLS H<sub>2</sub>O data is shown in Fig. <xref ref-type="fig" rid="F15"/>. The QBO1 index is negatively correlated with tropical cold point temperature <xref ref-type="bibr" rid="bib1.bibx51" id="paren.50"><named-content content-type="pre">e.g.,</named-content></xref> and this produces a negative correlation with H<sub>2</sub>O in the tropics and global lower stratosphere (i.e. overworld). Results in tropopause-relative coordinates show sharper and more vertically stratified patterns that delineate overworld influence and ExTL structure. QBO1 patterns in the troposphere in Fig. <xref ref-type="fig" rid="F15"/>b (negative values over the equator and positive below the tropopause in extratropics) reflect the influence of the QBO on tropopause height, and are artifacts of the coordinate system. Similar QBO regression results are found in ACE and WACCM data and are not shown here. QBO2 regression coefficients have little impact on the CPT and hence have less impact on H<sub>2</sub>O (not shown here).</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Summary and discussion</title>
      <p id="d2e2159">This work has examined the variability and vertical structure of H<sub>2</sub>O in the extratropical lower stratosphere, using geometric and tropopause-relative coordinate analysis of monthly mean satellite data and WACCM global model simulations. The use of tropopause-relative coordinates reduces seasonal and interannual variance in the ExTL regions and sharpens the geophysical structure evident in the data. However, tropopause-relative coordinates are not as useful in the deep tropics, as they introduce additional H<sub>2</sub>O variance in the upper troposphere and can confuse interpretation of results (e.g. the ENSO regressions in Fig. <xref ref-type="fig" rid="F14"/>). The ExTL (transition region in extratropics) is identified in the observed H<sub>2</sub>O seasonal and interannual anomaly patterns to span the first 2.5 km above the tropopause; we note that this result should be interpreted considering the approximate 3 km vertical resolution of the MLS and ACE satellite retrievals. However, this value is consistent with the depth of the ExTL diagnosed from aircraft and balloon measurements in midlatitudes <xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx45 bib1.bibx25" id="paren.51"><named-content content-type="pre">e.g.,</named-content></xref>. H<sub>2</sub>O variability above the ExTL (in the stratospheric overworld) is correlated between hemispheres, identifying a source region for both hemispheres near the tropical tropopause (Fig. <xref ref-type="fig" rid="F12"/>). In the ExTL and below, H<sub>2</sub>O variability is tied to tropospheric H<sub>2</sub>O and is uncorrelated between the NH and SH. While ENSO is one source of global-scale H<sub>2</sub>O variability that extends from the tropical upper troposphere across the tropopause into the LMS (Fig. <xref ref-type="fig" rid="F14"/> in geometric coordinates), more generally the ExTL is independent between the NH and SH. As a note, LMS ozone interannual variability is very different from H<sub>2</sub>O, with little coherence between hemispheres and no change in behavior of anomalies across the ExTL.</p>
      <p id="d2e2247">The WACCM simulations using observed meteorological fields show much of the same LMS structure and variability as the satellite observations, although direct comparisons highlight a strong positive model H<sub>2</sub>O bias in the LMS. This behavior was noted in <xref ref-type="bibr" rid="bib1.bibx9" id="text.52"/> and shown to be a feature of other global models (e.g. CMIP6). <xref ref-type="bibr" rid="bib1.bibx9" id="text.53"/> diagnose a cause of overly diffusive transport as one source of this model bias, which ends up impacting LMS temperatures and global circulations. The wet LMS bias in WACCM is found in seasonal (Fig. <xref ref-type="fig" rid="F6"/>) and interannual H<sub>2</sub>O anomalies (Fig. <xref ref-type="fig" rid="F11"/>f) across the ExTL, and the ExTL is approximately 1–2 km deeper in WACCM compared to satellite data (Fig. <xref ref-type="fig" rid="F12"/>).</p>
      <p id="d2e2281">MLS H<sub>2</sub>O observations show strong negative trends in the global upper troposphere that extend across the tropopause and dominate variability in the ExTL (e.g. Fig. <xref ref-type="fig" rid="F8"/>c). The global trend patterns (Fig. <xref ref-type="fig" rid="F13"/>a) approximately follow the region with background H<sub>2</sub>O values on the order of 300 ppmv in the troposphere extending down to <inline-formula><mml:math id="M135" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula>20 ppmv in the ExTL. These trends are evident in geometric coordinates and are slightly enhanced in tropopause-relative coordinates due to the long-term rise of the extratropical tropopause. The negative global-scale H<sub>2</sub>O trends in MLS data are not evident in ACE observations or in our specified dynamics WACCM simulations, and they are not expected due to the generally increasing background tropospheric temperatures over 2005–2021 (as quantified by the WACCM specified dynamics calculations). The MLS H<sub>2</sub>O decreases in the tropical upper troposphere seen in Fig. <xref ref-type="fig" rid="F13"/> also disagree with other infrared and microwave satellite observations, which show consistent specific humidity increases in this region over the recent decades <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx1" id="paren.54"><named-content content-type="pre">e.g.,</named-content></xref>. Likewise, results for ERA5 reanalysis show moistening of the tropical upper troposphere since 2000 <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx1 bib1.bibx30" id="paren.55"><named-content content-type="pre">e.g.,</named-content></xref>. As a result, we view the negative trends with a skeptical eye, as their absence in independent observations and model simulations raises the possibility of a retrieval-related contribution to the MLS v5.x trends that should be further investigated. Issues in the long-term stability of previous versions of the MLS H<sub>2</sub>O (a spurious positive drift in v4.x) measurement have been identified <xref ref-type="bibr" rid="bib1.bibx27" id="paren.56"/> and partially ameliorated for v5.x, but the MLS team recommends continued caution when using the MLS record to investigate long-term H<sub>2</sub>O trends <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx39" id="paren.57"/>.</p>
      <p id="d2e2369">However, we emphasize here that there are several limitations that should be considered when interpreting these results. Namely, the effective vertical resolution of the satellite H<sub>2</sub>O retrievals is comparable to the diagnosed depth of the ExTL, which makes disentangling changes in the upper troposphere from the lower stratosphere challenging. In addition, the 2005–2021 analysis period is relatively short for distinguishing a persistent long-term trend from lower-frequency variability. Finally, the WACCM comparison provides a useful physical constraint on the observed variability, but differences between the model and observations may also reflect limitations in the representation of transport and mixing in the LMS, rather than necessarily indicating an observational error.</p>
      <p id="d2e2382">In summary, this study demonstrates that H<sub>2</sub>O variability can help distinguish the extratropical transition layer from the stratospheric overworld. Above <inline-formula><mml:math id="M142" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2.5 km above the tropopause, the strong correlation between the hemispheres and connection to the tropical tropopause source region are consistent with transport by the Brewer–Dobson circulation. Within the ExTL, H<sub>2</sub>O variability is less correlated between hemispheres, suggesting a greater influence from local and regional troposphere–stratosphere exchange processes. The agreement among MLS, ACE-FTS, and WACCM in the overworld suggests that these features of H<sub>2</sub>O variability are robust. Alternatively, the apparent negative trend in MLS ExTL H<sub>2</sub>O concentration stands in contrast to other observational and modeling results which highlights the difficulty of identifying long-term changes in this region. Continued evaluation with independent observations and improved representation of LMS transport in models is needed for better understanding how the ExTL responds to changes in the troposphere and stratospheric circulation.</p>
</sec>

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

      <p id="d2e2433">MLS <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx54" id="paren.58"/>, MERRA-2 <xref ref-type="bibr" rid="bib1.bibx17" id="paren.59"/>, and ACE <xref ref-type="bibr" rid="bib1.bibx4" id="paren.60"/> are publicly available datasets. CESM2/WACCM6 is an open‐source community model, which was developed with support primarily from the National Science Foundation. WACCM6 source code can be downloaded at <uri>https://www.cesm.ucar.edu/models/cesm2/download</uri> (last access: 16 August 2024).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e2448">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-26-15405-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-26-15405-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2457">ENT and WJR designed the study, and ENT carried it out. ENT wrote the original draft of the manuscript, with additional input, review, and editing by WJR. JZ provided the WACCM simulations and drafted the WACCM data section.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e2463">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e2469">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="d2e2475">The authors would like to acknowledge Jian Guan, Laura Braschoß, and an anonymous reviewer for their helpful feedback. This material is based upon work supported by the NSF National Center for Atmospheric Research, which is a major facility sponsored by the U.S. National Science Foundation under Cooperative Agreement No. 1852977.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e2480">This work is supported by the National Aeronautics and Space Administration (NASA) under Grant No. 80NSSC23K1143 issued through the Aura Science Team/Atmospheric Composition Modeling and Analysis (ACMAP) Programs.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e2486">This paper was edited by Farahnaz Khosrawi and reviewed by Jian Guan, Laura Braschoß, and one anonymous referee.</p>
  </notes><ref-list>
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