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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-18-13055-2018</article-id><title-group><article-title>Response of stratospheric water vapor and ozone to the unusual timing of
El Niño and the QBO disruption in 2015–2016</article-title><alt-title>Water vapor and ozone response to the QBO shift and ENSO</alt-title>
      </title-group><?xmltex \runningtitle{Water vapor and ozone response to the QBO shift and ENSO}?><?xmltex \runningauthor{M. Diallo et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Diallo</surname><given-names>Mohamadou</given-names></name>
          <email>m.diallo@fz-juelich.de</email>
        <ext-link>https://orcid.org/0000-0003-0225-8120</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Riese</surname><given-names>Martin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6398-6493</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Birner</surname><given-names>Thomas</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2966-3428</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Konopka</surname><given-names>Paul</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5915-830X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Müller</surname><given-names>Rolf</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5024-9977</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Hegglin</surname><given-names>Michaela I.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2820-9044</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Santee</surname><given-names>Michelle L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9466-7257</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Baldwin</surname><given-names>Mark</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Legras</surname><given-names>Bernard</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3756-7794</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ploeger</surname><given-names>Felix</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Energy and Climate Research, Stratosphere (IEK-7), Forschungszentrum Jülich, 52425 Jülich, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Laboratoire de Météorologie Dynamique, UMR8539, IPSL, UPMC/ENS/CNRS/Ecole Polytechnique, Paris, France</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Atmospheric Science, Colorado State University, Boulder, Colorado, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Meteorology, University of Reading, Reading, UK</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>College of Engineering, Mathematics and Physical Sciences, University of Exeter, Exeter, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Mohamadou Diallo (m.diallo@fz-juelich.de)</corresp></author-notes><pub-date><day>11</day><month>September</month><year>2018</year></pub-date>
      
      <volume>18</volume>
      <issue>17</issue>
      <fpage>13055</fpage><lpage>13073</lpage>
      <history>
        <date date-type="received"><day>9</day><month>March</month><year>2018</year></date>
           <date date-type="rev-request"><day>16</day><month>April</month><year>2018</year></date>
           <date date-type="rev-recd"><day>15</day><month>August</month><year>2018</year></date>
           <date date-type="accepted"><day>24</day><month>August</month><year>2018</year></date>
      </history>
      <permissions>
        
        
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>
      <abstract>
    <p id="d1e197">The stratospheric circulation determines the transport and lifetime of key
trace gases in a changing climate, including water vapor and ozone, which
radiatively impact surface climate.
The unusually warm El Niño–Southern Oscillation (ENSO) event aligned with a
disrupted Quasi-Biennial Oscillation (QBO) caused an unprecedented perturbation
to this circulation in 2015–2016.
Here, we quantify the impact of the alignment of these two phenomena in 2015–2016
on lower stratospheric water vapor and ozone from satellite observations. We show
that the warm ENSO event substantially increased water vapor and decreased ozone
in the tropical lower stratosphere.
The QBO disruption significantly decreased global lower stratospheric water vapor
and tropical ozone from early spring to late autumn.
Thus, this QBO disruption reversed the lower stratosphere moistening triggered
by the alignment of the warm ENSO event with westerly QBO in early boreal winter.
Our results suggest that the interplay of ENSO events and QBO phases will be
crucial for the distributions of radiatively active trace gases
in a changing future climate, when increasing El Niño-like conditions and
a decreasing lower stratospheric QBO amplitude are expected.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p id="d1e209">The lower stratosphere (10–25 <inline-formula><mml:math id="M1" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) is a key region in a changing climate.
Transport, mixing and chemistry in this region regulate the amount of key
greenhouse gases, such as water vapor and ozone, which radiatively impact
temperatures both locally <xref ref-type="bibr" rid="bib1.bibx39" id="paren.1"><named-content content-type="pre">e.g.,</named-content></xref> and globally
<xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx139 bib1.bibx128 bib1.bibx27" id="paren.2"><named-content content-type="pre">e.g.,</named-content></xref>.
Ozone is mainly produced in the stratosphere (10–50 <inline-formula><mml:math id="M2" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) and is directly
regulated in the tropical lower stratosphere by the upwelling strength of the
stratospheric circulation <xref ref-type="bibr" rid="bib1.bibx124 bib1.bibx1" id="paren.3"/>. Conversely, water
vapor mainly originates from the troposphere and its stratospheric concentration
is controlled by the tropical cold point tropopause temperatures <xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx69" id="paren.4"/>
and production from methane oxidation <xref ref-type="bibr" rid="bib1.bibx84 bib1.bibx26" id="paren.5"/>. The amount
of stratospheric water vapor is thereby modulated by the coldest temperatures
experienced by air parcels ascending through the tropical tropopause layer (TTL)
<xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx41 bib1.bibx134" id="paren.6"><named-content content-type="pre">e.g., between 14 and 19 <inline-formula><mml:math id="M3" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>;</named-content></xref>.
The dehydration in the air parcels crossing through the TTL plays an important
role in the control of the lower stratospheric moisture.
Stratospheric water vapor is the primary source of stratospheric hydrogen oxide
radicals, which drive important gas-phase ozone loss cycles,
and it also strongly influences heterogeneous chemistry on cold sulfate aerosol and the
formation<?pagebreak page13056?> of polar stratospheric clouds, which promote chlorine activation and
polar ozone loss <xref ref-type="bibr" rid="bib1.bibx138 bib1.bibx96 bib1.bibx23 bib1.bibx103 bib1.bibx137 bib1.bibx77 bib1.bibx33 bib1.bibx30" id="paren.7"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d1e263">Water vapor and ozone abundances in the tropical lower stratosphere
show multi-timescale variations ranging from daily to decadal
<xref ref-type="bibr" rid="bib1.bibx122 bib1.bibx42 bib1.bibx47 bib1.bibx64" id="paren.8"><named-content content-type="pre">e.g.,</named-content></xref>
dominated by temperature variations and the tropical upwelling strength, respectively
<xref ref-type="bibr" rid="bib1.bibx124 bib1.bibx126 bib1.bibx130 bib1.bibx46 bib1.bibx121" id="paren.9"><named-content content-type="pre">e.g.,</named-content></xref>.
These temperature fluctuations are driven by the varying strength of the stratospheric
circulation. Beyond the annual cycle (tape recorder; <xref ref-type="bibr" rid="bib1.bibx102 bib1.bibx53" id="altparen.10"/>),
one key driver of the interannual variability in water vapor is the interaction between
the El Niño–Southern Oscillation (ENSO) and the Quasi-Biennial Oscillation (QBO)
<xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx140" id="paren.11"/>, which, in turn, modulates the stratospheric
circulation.</p>
      <p id="d1e282">The stratospheric mean meridional circulation is the Brewer–Dobson circulation
(BD-circulation; <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx16" id="altparen.12"><named-content content-type="pre">e.g.,</named-content></xref>), defined as a slow
circulation in which air parcels rising in the tropics drift poleward into the
stratosphere and are transported downward in the high-latitude regions via its
shallow and deep branches <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx12" id="paren.13"/>. Driven by wave breaking
in the stratosphere <xref ref-type="bibr" rid="bib1.bibx60 bib1.bibx129 bib1.bibx107 bib1.bibx114" id="paren.14"/>, the
BD-circulation varies on subseasonal to decadal timescales.</p>
      <p id="d1e296">The QBO is a major mode of variability in the tropical upwelling of the BD-circulation
<xref ref-type="bibr" rid="bib1.bibx88 bib1.bibx115" id="paren.15"/>.
The QBO is composed of alternating westerly and easterly zonal wind shears,
descending in the tropical stratosphere with a period of <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> months.
Mostly driven by equatorially trapped waves <xref ref-type="bibr" rid="bib1.bibx150 bib1.bibx6 bib1.bibx34 bib1.bibx35" id="paren.16"/>,
the QBO triggers a modulation of vertical and meridional transport in the
stratosphere by affecting temperature and heating rates <xref ref-type="bibr" rid="bib1.bibx109 bib1.bibx120" id="paren.17"/>.
The easterly shear is associated with enhanced tropical upwelling and anomalously
cold tropopause temperatures. As the easterly shear reaches the tropopause, it
therefore causes low anomalies of tropical lower stratospheric water vapor
and ozone. Conversely, the westerly shear reduces the tropical upward motion,
but also enhances the horizontal transport and mixing of stratospheric trace
gases and aerosols poleward <xref ref-type="bibr" rid="bib1.bibx115 bib1.bibx143" id="paren.18"/>.
The tropical upwelling is anticorrelated with the tropical temperature above
the tropopause and its strength modulates stratospheric ozone by advecting tropospheric
air generally poor in ozone into the stratosphere <xref ref-type="bibr" rid="bib1.bibx123" id="paren.19"/>.
The strength of the tropical upwelling also determines water vapor entry values by
modulating TTL temperatures <xref ref-type="bibr" rid="bib1.bibx156 bib1.bibx37" id="paren.20"/>.</p>
      <p id="d1e329">Another major mode of climate variability that affects the variability
of the BD-circulation is the ENSO. ENSO is a coupled atmosphere–ocean
phenomenon covering the equatorial Pacific Ocean with drastic changes in regional sea
surface temperatures (SSTs), impacting surface weather and climate
<xref ref-type="bibr" rid="bib1.bibx11 bib1.bibx18 bib1.bibx151" id="paren.21"><named-content content-type="pre">e.g.,</named-content></xref>.
ENSO alternates between anomalously warm (El Niño) and cold (La Niña)
conditions in the tropical Pacific Ocean at intervals of 2–8 years
<xref ref-type="bibr" rid="bib1.bibx111 bib1.bibx5" id="paren.22"/>.
In addition to warming the troposphere, El Niño events cool the tropical
lower stratosphere and strengthen the tropical upwelling of the BD-circulation,
decreasing ozone in the tropical lower stratosphere <xref ref-type="bibr" rid="bib1.bibx125" id="paren.23"/>.
From a zonal mean perspective, El Niño events induce tropospheric warming
and stratospheric cooling with a node near the tropopause <xref ref-type="bibr" rid="bib1.bibx125 bib1.bibx101" id="paren.24"/>.
Stratospheric water vapor, however, is predominantly controlled by cold
point temperatures over the tropical western Pacific <xref ref-type="bibr" rid="bib1.bibx69" id="paren.25"/>. El Niño
events are associated with warmer cold point temperatures over this region,
thereby causing increased lower stratospheric water vapor. In addition,
based on chemistry climate simulations, these regional variations in temperatures
and water vapor have been shown to exhibit a nonlinear response to ENSO in the
Western Indo-Pacific <xref ref-type="bibr" rid="bib1.bibx50" id="paren.26"/>. In contrast, La Niña events induce
an opposite effect <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx80" id="paren.27"><named-content content-type="pre">e.g.,</named-content></xref>.</p>
      <p id="d1e358">Climate models predict that increasing greenhouse gas levels will speed up the
mean tropical upwelling of the BD-circulation in the future
<xref ref-type="bibr" rid="bib1.bibx99 bib1.bibx51 bib1.bibx87 bib1.bibx16 bib1.bibx57" id="paren.28"/>.
A previous study finds a long-term decrease in the QBO amplitude
in the lowermost stratosphere associated with this strengthening tropical
upwelling <xref ref-type="bibr" rid="bib1.bibx132" id="paren.29"/>, consistent with projections of global
climate models <xref ref-type="bibr" rid="bib1.bibx74 bib1.bibx73" id="paren.30"/>. Future projections of
climate models also predict a shift of the basic state toward more frequent
El Niño conditions in a warming climate
<xref ref-type="bibr" rid="bib1.bibx142 bib1.bibx147 bib1.bibx83 bib1.bibx19" id="paren.31"/>.
In this context, it is of particular importance to better understand the
impact of the interplay between ENSO and QBO on changes in stratospheric
water vapor and ozone <xref ref-type="bibr" rid="bib1.bibx139 bib1.bibx128" id="paren.32"/>, which directly impact
the global radiative forcing of climate <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx17" id="paren.33"/>.</p>
</sec>
<sec id="Ch1.S2">
  <title>Puzzling water vapor anomalies in 2015–2016</title>
      <?pagebreak page13057?><p id="d1e386">Recently, a previously unobserved timing of this interplay between ENSO and QBO occurred.
During the boreal winter 2015–2016, a strong El Niño event
(among the three strongest El Niño events on record; <xref ref-type="bibr" rid="bib1.bibx70" id="altparen.34"/>) was aligned
with a westerly QBO phase. This westerly QBO phase was abruptly disrupted well before
completion by an easterly phase in January 2016 <xref ref-type="bibr" rid="bib1.bibx110 bib1.bibx108" id="paren.35"/>.
The interplay of both circulation anomalies caused large changes in trace
gas  transport, the climate implications of which are currently a topic of debate.
Based on modern reanalyses and satellite observations, including Aura Microwave
Limb Sounder (MLS) water vapor mixing ratios, <xref ref-type="bibr" rid="bib1.bibx3" id="text.36"/> argued that the most
recent El Niño event significantly moistened the lower stratosphere (<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M6" display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>)
during boreal winter 2015–2016 due to particularly warm tropopause temperature
anomalies in the tropical western Pacific. Using a simple linear regression of
MLS water vapor mixing ratios at 82 <inline-formula><mml:math id="M7" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> with a QBO index at 70 <inline-formula><mml:math id="M8" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>,
<xref ref-type="bibr" rid="bib1.bibx3" id="text.37"/> concluded that the contribution of the QBO disruption was small
(up to 0.1 <inline-formula><mml:math id="M9" display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>) at 82 <inline-formula><mml:math id="M10" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>, even though the study mainly focused on
ENSO, particularly the role of tropical convective cloud ice in stratospheric hydration.
In contrast, <xref ref-type="bibr" rid="bib1.bibx144" id="text.38"/> mainly focused on QBO disruption impact and
attributed changes in the global stratospheric water vapor content from spring to
autumn to the QBO disruption during the 2015–2016 winter. However, <xref ref-type="bibr" rid="bib1.bibx144" id="text.39"/>
also acknowledged that the strong El Niño event could have strongly influenced their
correlation (composite) analyses based on MLS satellite and radiosonde observations.
Disentangling the effects of ENSO and QBO on this anomalous trace gas variability
and identifying the dominant driver of recent lower stratospheric water vapor
changes during 2015–2016 is a challenging task. A detailed explanation of the
reasons for this lower stratospheric water vapor variability in 2015–2016 is
still lacking.</p>
      <p id="d1e454">Here, we quantify the impact of the interaction between the most recent El Niño
event and the QBO disruption on lower stratospheric ozone and water vapor
from spaceborne measurements during the 2015–2016 period.
We describe the satellite observational data record and multiple regressions in
Sect. <xref ref-type="sec" rid="Ch1.S3"/>. Section <xref ref-type="sec" rid="Ch1.S4"/> describes the
anomalous stratospheric circulation in boreal winter of 2015–2016 and
Sect. <xref ref-type="sec" rid="Ch1.S5"/> shows evidence for the impact of the El Niño event and QBO disruption
on stratospheric ozone and water vapor. Finally, we discuss our results in the
context of the puzzling water vapor response to the interaction of these two phenomena.</p>
</sec>
<sec id="Ch1.S3">
  <title>Data and methodology</title>
      <p id="d1e469">The data analyzed here are monthly mean ozone (<inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and water vapor
(<inline-formula><mml:math id="M12" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) mixing ratios in the lower stratosphere from the Aura Microwave Limb
Sounder satellite observations covering the period 2005–2016 <xref ref-type="bibr" rid="bib1.bibx90" id="paren.40"/>.
The MLS instrument, flying aboard the EOS Aura satellite, is designed to measure a
wide range of physical and chemical quantities, including <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M14" 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>
<xref ref-type="bibr" rid="bib1.bibx152" id="paren.41"/>. The version 4.2 MLS data were produced with improved
retrieval algorithms, which substantially reduced the occurrence of unrealistically
small <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values at 215 <inline-formula><mml:math id="M16" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> in the tropics observed in the previous
version 2.2 MLS product <xref ref-type="bibr" rid="bib1.bibx89" id="paren.42"/>. Note that the version 4.2 MLS data used
here are not significantly different from the previous version MLS observations
at pressures less than 100 hPa, but show less oscillatory behavior and fewer retrieval
artifacts induced by cloud contamination in the tropical upper troposphere and lower stratosphere (UTLS).
The vertical resolution, precision, systematic uncertainty and lowest recommended
vertical range of the relevant v4.2 data are, respectively, 2.5–3 <inline-formula><mml:math id="M17" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>,
<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>–40 %, <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula>–25 % and 316 <inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> for <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and 3–3.5 <inline-formula><mml:math id="M22" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>,
<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula>–0.04 <inline-formula><mml:math id="M24" display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn></mml:mrow></mml:math></inline-formula>–0.05 <inline-formula><mml:math id="M26" display="inline"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M27" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>–10 % and 261 <inline-formula><mml:math id="M29" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>
for <inline-formula><mml:math id="M30" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> for individual profile measurements with a spatial representativeness
of <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula>–300 <inline-formula><mml:math id="M32" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> along the orbital-track line of sight
<xref ref-type="bibr" rid="bib1.bibx136 bib1.bibx90 bib1.bibx131" id="paren.43"/>.
The regression results will not be affected by these intrinsic uncertainties since
they apply to the <inline-formula><mml:math id="M33" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios and not the anomalies.
In addition, <xref ref-type="bibr" rid="bib1.bibx63" id="text.44"/> show that MLS zonal monthly mean <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> show very
good to excellent agreement with the multi-instrument mean (MIM) in comparison between
13 instruments, throughout most of the atmosphere (including the UTLS)
with mean deviations from the MIM between <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> % and <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> %, making these random errors
irrelevant for the averaged monthly zonal mean <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> anomalies used in this study.
Additional detailed information on the quality of <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the
upper troposphere–stratosphere in previous versions can be found in dedicated
validation papers <xref ref-type="bibr" rid="bib1.bibx127 bib1.bibx82 bib1.bibx89 bib1.bibx40" id="paren.45"/>.</p>
      <?pagebreak page13058?><p id="d1e796">As an illustration of the robustness of the regression results, MLS water
vapor is compared in Sect. <xref ref-type="sec" rid="Ch1.S6"/> to simulated <inline-formula><mml:math id="M41" 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> from the Chemical
Lagrangian Model of the Stratosphere (CLaMS; <xref ref-type="bibr" rid="bib1.bibx98 bib1.bibx78" id="altparen.46"/>).
Lagrangian transport in CLaMS is based on 3-D backward trajectories and a parameterization
of small-scale mixing, which relates mixing to deformations in the large-scale flow.
The model uses an isentropic vertical coordinate, with vertical transport driven by
the total diabatic heating rate <xref ref-type="bibr" rid="bib1.bibx112" id="paren.47"/>.
The model simulations considered for this paper are driven by temperatures,
horizontal winds and diabatic heating rates from the European Centre for Medium-Range
Weather Forecasts (ECMWF) ERA-Interim reanalysis
<xref ref-type="bibr" rid="bib1.bibx25" id="paren.48"/>. For the wind and temperature fields, CLaMS uses the native ERA-Interim
vertical resolution, and therefore has higher vertical resolution than MLS. The mean
vertical resolution of air parcels in CLaMS Lagrangian model is about 400 <inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>
near the tropopause. Stratospheric water vapor in CLaMS is calculated based on a
simplified dehydration scheme, which is based on freezing at 100 % saturation and a
parameterized ice particle fallout <xref ref-type="bibr" rid="bib1.bibx119" id="paren.49"><named-content content-type="pre">e.g.,</named-content></xref>, and additional
chemical production in the middle stratosphere due to methane oxidation.
For further details about the model set-up used here see <xref ref-type="bibr" rid="bib1.bibx118" id="text.50"/>.
Based on modern reanalysis intercomparisons, <xref ref-type="bibr" rid="bib1.bibx91" id="text.51"/>
show that the ERA-Interim temperatures compare favorably to other reanalyses throughout
most of the atmosphere, including the TTL region. The assimilation of the Global Positioning
System radio occultation data since December 2006 have reduced the ERA-Interim cold
temperature bias compared with radiosondes in the tropopause layer and the lower
stratosphere <xref ref-type="bibr" rid="bib1.bibx117" id="paren.52"/>. ERA-Interim tropical tropopause temperatures have
also been shown to compare very well against in situ observations over the eastern
tropical Pacific <xref ref-type="bibr" rid="bib1.bibx145" id="paren.53"/>.
Based on a comparison of ERA-Interim tropopause temperature with in situ balloon
observations, <xref ref-type="bibr" rid="bib1.bibx116" id="text.54"/> found fairly good agreement with a weak
positive bias of 0.6 <inline-formula><mml:math id="M43" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> and a standard deviation of 1.8 <inline-formula><mml:math id="M44" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> in the TTL.
<xref ref-type="bibr" rid="bib1.bibx135" id="text.55"/> show that even small temperature differences between
reanalyses and observations can still induce differences in the associated
<inline-formula><mml:math id="M45" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> saturation mixing ratio using a trajectory model driven by
ERA-Interim. However, the CLaMS dehydration scheme has been shown to provide
lower stratospheric <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> anomalies in good agreement with current
satellite observations, including the MLS product, giving good confidence
in the CLaMS <inline-formula><mml:math id="M47" 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> reconstruction from the large-scale perspective
<xref ref-type="bibr" rid="bib1.bibx113 bib1.bibx141 bib1.bibx93" id="paren.56"><named-content content-type="pre">e.g.,</named-content></xref>. In addition,
biases, which do not have ENSO or QBO signals, affect the absolute <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
values but not the anomaly time series <xref ref-type="bibr" rid="bib1.bibx63" id="paren.57"/>.</p>
      <p id="d1e930">To disentangle the ENSO and QBO impact on these stratospheric trace
gases from the other sources of natural variability, the 2005–2016 monthly zonal
mean <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios from MLS observations are analyzed
as a function of latitude (<inline-formula><mml:math id="M51" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula>) and altitude (<inline-formula><mml:math id="M52" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>) using a multiple regression model.
This regression method is an established method and appropriate to disentangle the
relative influences of the considered climate indices on stratospheric trace gas
variability, as it includes time lag coefficients for both QBO and ENSO.
For more details about the method and its further applications see <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx29" id="text.58"/>.
The regression method decomposes the temporal evolution of the monthly zonal
mean trace gas mixing ratio, <inline-formula><mml:math id="M53" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula>, in terms of a long-term linear trend,
seasonal cycle, QBO, ENSO, aerosol optical depth (AOD; <xref ref-type="bibr" rid="bib1.bibx148" id="altparen.59"/>) and a
residual. The model yields for a given trace gas, <inline-formula><mml:math id="M54" display="inline"><mml:mi mathvariant="italic">χ</mml:mi></mml:math></inline-formula> (herein <inline-formula><mml:math id="M55" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math id="M56" 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>) are

              <disp-formula specific-use="align" content-type="numbered"><mml:math id="M57" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mi mathvariant="italic">χ</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mi>C</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:munderover><mml:msub><mml:mi>b</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E1"><mml:mtd/><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>⋅</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><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:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>k</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the predictors or proxies. <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
is a normalized QBO index (QBOi) from CDAS/Reanalysis zonally averaged winds
at 50 <inline-formula><mml:math id="M60" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the normalized Multivariate ENSO Index
(MEI; <xref ref-type="bibr" rid="bib1.bibx154" id="altparen.60"/>) and <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>  is the AOD from satellite data
<xref ref-type="bibr" rid="bib1.bibx148" id="paren.61"/>. The coefficients are a linear trend <inline-formula><mml:math id="M63" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, the annual cycle
<inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mi>C</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, the amplitude <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the lag <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> associated with
the QBO; the amplitude <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the lag <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> associated with ENSO
and the amplitude <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and the lag <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> associated with AOD.
The constraint applied to determine the parameters <inline-formula><mml:math id="M71" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>,
<inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M78" display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> is to minimize
the residual <inline-formula><mml:math id="M79" 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:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> in the least squares sense.
Because of the presence of lags in the QBO, ENSO and AOD terms in Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>),
the problem is nonlinear and the residual may have multiple
minima as a function of the parameters. In order to determine the optimal
values of <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>,</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,
the residual is first minimized at fixed lag and then selected from
a range of possible lags. This is done in sequence for QBO, ENSO and AOD. Here
we neglect solar forcing, because our data set covers only one solar period.
Uncertainty estimates for the statistical fits are calculated using a
Student's <inline-formula><mml:math id="M83" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test technique <xref ref-type="bibr" rid="bib1.bibx157 bib1.bibx8 bib1.bibx149" id="paren.62"/>.</p>
</sec>
<sec id="Ch1.S4">
  <title>Anomalous stratospheric circulation in the 2015–2016 boreal winter</title>
      <p id="d1e1572">Almost simultaneously with the exceptionally strong El Niño peaking in
boreal winter of 2015–2016 <xref ref-type="bibr" rid="bib1.bibx70" id="paren.63"/>, the fairly regular QBO cycle was
disrupted by an unexpected shift from westerly (positive QBOi) to easterly (negative QBOi)
winds. In January 2016, an easterly phase developed in the center of the westerly
phase, breaking the regular cycle of easterly–westerly phase
<xref ref-type="bibr" rid="bib1.bibx110 bib1.bibx108" id="paren.64"/>. The QBO disruption was attributed to planetary
Rossby waves propagating from the Northern Hemisphere to the Southern Hemisphere
in the winter stratosphere <xref ref-type="bibr" rid="bib1.bibx110 bib1.bibx22 bib1.bibx65" id="paren.65"/>, potentially
triggered by the strong El Niño event <xref ref-type="bibr" rid="bib1.bibx133 bib1.bibx32 bib1.bibx21 bib1.bibx7" id="paren.66"/>.
Both the most recent El Niño event and the QBO disruption
are expected to impact the tropical upwelling, via wave–mean-flow interaction
<xref ref-type="bibr" rid="bib1.bibx66 bib1.bibx31 bib1.bibx55" id="paren.67"/> and control of the cold point
temperatures <xref ref-type="bibr" rid="bib1.bibx76 bib1.bibx75" id="paren.68"/>.
Therefore, these two phenomena affect the transport and distribution of
stratospheric trace gases most effectively when they peak in boreal winter 2015–2016
and mid-April, respectively <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx144" id="paren.69"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><caption><p id="d1e1599">Deseasonalized tropical stratospheric <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M85" 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> time series from MLS
satellite observations for the 2005–2016 period in percent change from long-term
monthly means as a function of time and potential temperature.
<bold>(a)</bold> Deseasonalized monthly mean <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.
<bold>(b)</bold> Deseasonalized monthly mean <inline-formula><mml:math id="M87" 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>.
Vertical black dashed line indicates February 2015 for the warm ENSO onset.
The vertical black solid line indicates February 2016 for the QBO shift onset.
Horizontal gray dashed lines indicate the pressure levels. The lowermost
panel shows the QBO index at 50 <inline-formula><mml:math id="M88" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> in red and the MEI index in blue.
Monthly averaged zonal mean zonal wind component, <inline-formula><mml:math id="M89" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> (m s<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), from
ERA-Interim, is overlaid as solid white (westerly) and
dashed gray (easterly) lines.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/13055/2018/acp-18-13055-2018-f01.jpg"/>

      </fig>

      <?pagebreak page13059?><p id="d1e1689">Figure <xref ref-type="fig" rid="Ch1.F1"/>a, b show the interannual variability in the deseasonalized
<inline-formula><mml:math id="M91" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (a) and <inline-formula><mml:math id="M92" 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> (b) in the tropical lower stratosphere as a
percentage change relative to the monthly mean mixing ratio during the 2005–2016 period.
Particularly, during the 2015–2016 period, the deseasonalized  <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> shows
negative anomalies in the lower stratosphere (380–550 <inline-formula><mml:math id="M94" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>) as expected
due to the enhanced tropical upwelling caused by both the extreme El Niño event
and the QBO disruption (e.g., easterly wind shear at 100–40 <inline-formula><mml:math id="M95" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>).
In contrast, the <inline-formula><mml:math id="M96" 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> variability (tape recorder) is more challenging to
interpret because of its regulation by the tropical cold point tropopause temperatures.
The complexity in <inline-formula><mml:math id="M97" 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> variability lies in its dependency on ENSO, on the
QBO phases <xref ref-type="bibr" rid="bib1.bibx86" id="paren.70"/>, seasons (early or late in the winter) and location
(central or eastern Pacific, where the ENSO maximum occurs; <xref ref-type="bibr" rid="bib1.bibx49" id="altparen.71"/>).
Therefore, to elucidate the ENSO and QBO impact on the stratospheric
<inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M99" 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> anomalies, the multiple regression is performed both
without and with explicitly including ENSO and QBO signals to isolate the impact
of the ENSO and QBO on these trace gases, respectively. The difference between the
residual (<inline-formula><mml:math id="M100" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula> in Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>) with and without explicit inclusion of the
ENSO and QBO signals gives the ENSO- and QBO-induced impact on stratospheric
<inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M102" 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> anomalies. This approach of differencing the residuals
is similar to direct calculations, projecting the regression fits onto the
ENSO and QBO basis functions, i.e., the ENSO and QBO predictor time series
(see supplement Figs. 2 and 4 in <xref ref-type="bibr" rid="bib1.bibx29" id="altparen.72"/>). In addition, this
differencing approach avoids the need to reconstruct the time series after the
regression analysis.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><caption><p id="d1e1840">ENSO impact on the stratospheric <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(a)</bold> and <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(b)</bold> from MLS satellite
observations for the 2005–2016 period in percent change relative to monthly mean
mixing ratio as a function of time and potential temperature. The ENSO impact on
the stratospheric trace gases is derived from the multiple regression
fit as the difference between the residual (<inline-formula><mml:math id="M105" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula> in Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>) without
and with explicit inclusion of the ENSO signal.
Vertical black dashed line indicates the warm ENSO onset (February 2015).
The lower panel below indicates the MEI index in blue.
Panels <bold>(c–d)</bold> show the zonal distribution of the ENSO impact on stratospheric
<inline-formula><mml:math id="M106" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(c)</bold> and <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(d)</bold> averaged from January 2015 to December 2016 in percent
change relative to monthly mean mixing ratios.
The black dashed horizontal line indicates the tropopause from ERA-Interim.
Zonal mean zonal wind component, <inline-formula><mml:math id="M108" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> (m s<inline-formula><mml:math id="M109" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), averaged over the 2015–2016
period, from ERA-Interim is overlaid as solid white (westerly) and
dashed gray (easterly) lines.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/13055/2018/acp-18-13055-2018-f02.pdf"/>

      </fig>

</sec>
<sec id="Ch1.S5">
  <title>Results</title>
<sec id="Ch1.S5.SS1">
  <?xmltex \opttitle{Impact of the 2015--2016 El Ni\~{n}o on lower stratospheric {$\protect\chem{O_{3}}$} and {$\protect\chem{H_{2}O}$}}?><title>Impact of the 2015–2016 El Niño on lower stratospheric <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula></title>
      <p id="d1e1977">Figure <xref ref-type="fig" rid="Ch1.F2"/>a, b show time series of the ENSO-induced variability
in tropical monthly mean <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> estimated from the difference
between the residual (<inline-formula><mml:math id="M114" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula> in Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>) without and with explicit
inclusion of the ENSO signal for the 2005–2016 period.
Figure <xref ref-type="fig" rid="Ch1.F2"/>a indicates that the most recent El Niño event produces
an extremely large negative <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomaly in the lower stratosphere,
inducing a record minimum anomaly of minus 15 % in the tropics, consistent
with previous studies <xref ref-type="bibr" rid="bib1.bibx125 bib1.bibx20 bib1.bibx80" id="paren.73"/>.
This strong decrease in <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratio is interpreted as a strengthening
of the tropical upwelling induced by El Niño <xref ref-type="bibr" rid="bib1.bibx125" id="paren.74"/>. In addition,
by effectively warming the cold point temperature <xref ref-type="bibr" rid="bib1.bibx69" id="paren.75"/>, the recent
strong El Niño event in 2015–2016 regulates the stratospheric <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
entry mixing ratio by significantly inducing positive anomalies in the tropical
lower stratosphere between 380 and 450 <inline-formula><mml:math id="M118" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F2"/>b).
These changes in <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratio in the TTL reach 10–15 %
and are consistent with a recent study <xref ref-type="bibr" rid="bib1.bibx3" id="paren.76"/>.</p>
      <p id="d1e2088">Figure <xref ref-type="fig" rid="Ch1.F2"/>c, d depict the zonal mean impact of the recent strong
El Niño on <inline-formula><mml:math id="M120" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (c) and <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (d) calculated from the difference
between the residuals, which is similar to Fig. <xref ref-type="fig" rid="Ch1.F2"/>a, b but averaged
for the 2015–2016 period. Figure <xref ref-type="fig" rid="Ch1.F2"/>c shows that the <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing
ratio decreases throughout the tropics during El Niño as expected due to the
enhanced tropical upwelling, bringing air poor in <inline-formula><mml:math id="M123" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> from the troposphere.
In the extratropics (poleward of 30<inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N) of the Northern Hemisphere, there is
a related increase in <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios due to enhanced downwelling from
the shallow branch of the BD-circulation <xref ref-type="bibr" rid="bib1.bibx106" id="paren.77"/>.
The negative <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3<?pagebreak page13060?></mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies seen in the Southern Hemisphere polar region
are likely a consequence of the Antarctic ozone hole during the austral spring
<xref ref-type="bibr" rid="bib1.bibx137 bib1.bibx153" id="paren.78"/>.</p>
      <?pagebreak page13061?><p id="d1e2182">Clearly, there is a strong increase in <inline-formula><mml:math id="M127" 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> anomalies in the lower
stratosphere related to the extreme El Niño event from February 2015 to
December 2016 (Fig. <xref ref-type="fig" rid="Ch1.F2"/>d), which induced generally warmer tropical cold point
tropopause temperatures <xref ref-type="bibr" rid="bib1.bibx69" id="paren.79"/>.
These positive <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> anomalies are consistent with the known effect of
El Niño to moisten the tropical lower stratosphere <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx122 bib1.bibx44 bib1.bibx80" id="paren.80"><named-content content-type="pre">e.g.,</named-content></xref>. The induced <inline-formula><mml:math id="M129" 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> anomalies by
the strong El Niño event propagate toward the extratropical lower stratosphere.
This propagation is likely attributable to the horizontal transport caused by
the shallow branch of the residual circulation near the subtropics and by eddy
mixing at higher latitudes, poleward of about 50<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N
<xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx71 bib1.bibx113" id="paren.81"/>. The largest <inline-formula><mml:math id="M131" 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> anomalies
occur between 20 and 50<inline-formula><mml:math id="M132" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S/N near the subtropical jet due to the convection
shift <xref ref-type="bibr" rid="bib1.bibx85 bib1.bibx3" id="paren.82"/> and in the upper troposphere.
The positive <inline-formula><mml:math id="M133" 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> anomalies associated with El Niño below <inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">400</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M135" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>
are related to the extended tropospheric moist anomaly (Fig. <xref ref-type="fig" rid="Ch1.F2"/>d),
which is partly associated with an upward-shifting tropopause
<xref ref-type="bibr" rid="bib1.bibx122 bib1.bibx92 bib1.bibx94" id="paren.83"/> and partly due to a smearing effect
arising from the limited 2.5–3 <inline-formula><mml:math id="M136" display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> vertical resolution of the MLS
<inline-formula><mml:math id="M137" 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.
Using high-resolution temperature data and climate model simulations,
<?xmltex \hack{\mbox\bgroup}?><xref ref-type="bibr" rid="bib1.bibx125" id="text.84"/><?xmltex \hack{\egroup}?> showed that there is a clear separation between a warming
troposphere and cooling lower stratosphere for the zonal average ENSO signal,
with a node near the tropical cold point tropopause (i.e., a demarcation between
the warming and cooling regime).
However, zonal mean <inline-formula><mml:math id="M138" 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> anomalies do not exactly follow the zonal mean
temperature, but critically depend on the geographical distribution of lowest
temperature regions <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx80" id="paren.85"/>. <xref ref-type="bibr" rid="bib1.bibx80" id="text.86"/>
argued that El Niño causes colder zonal mean temperatures, but also warmer
temperatures over the west Pacific region, which is most critical for stratospheric
entry water vapor <xref ref-type="bibr" rid="bib1.bibx43" id="paren.87"><named-content content-type="pre">e.g.,</named-content></xref>. As a net effect, zonal
mean <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios turn out to be larger during El Niño
than La Niña.</p>
      <p id="d1e2372">With the exception of the Antarctic polar vortex, the <inline-formula><mml:math id="M140" 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> anomalies above
450 <inline-formula><mml:math id="M141" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> become negative over the entire stratosphere, with a minimum occurring in
the inner tropics between 450 and 550 <inline-formula><mml:math id="M142" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>. These negative <inline-formula><mml:math id="M143" 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> anomalies
are related to air which entered the stratosphere before the onset of El Niño and
a related upward propagating tape-recorder signal.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p id="d1e2418">QBO impact on the stratospheric <inline-formula><mml:math id="M144" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(a)</bold> and <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(b)</bold> from MLS satellite
observations for the 2005–2016 period in percent change relative to monthly mean
mixing as a function of time and potential temperature. Shown QBO impact on the
stratospheric trace gases is derived from the multiple regression fit
as the difference between the residual (<inline-formula><mml:math id="M146" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula> in Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>) without
and with explicit inclusion of the QBO signal.
The vertical black line indicates the QBO shift onset (February 2016).
The lower panel below indicates the QBO index at 50 <inline-formula><mml:math id="M147" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> in red.
Panels <bold>(c–d)</bold> show the zonal mean QBO disruption impact on stratospheric
<inline-formula><mml:math id="M148" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <bold>(c)</bold> and <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(d)</bold> averaged from April to December 2016 in percent
change relative to monthly mean mixing ratios.
The black dashed horizontal line indicates the tropopause from ERA-Interim.
Monthly mean zonal mean wind component, <inline-formula><mml:math id="M150" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> (m s<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>),
from ERA-Interim is overlaid as solid white (westerly) and
dashed gray (easterly) lines.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/13055/2018/acp-18-13055-2018-f03.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS2">
  <?xmltex \opttitle{Impact of the QBO disruption on lower stratospheric {$\protect\chem{O_{3}}$} and {$\protect\chem{H_{2}O}$}}?><title>Impact of the QBO disruption on lower stratospheric <inline-formula><mml:math id="M152" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M153" 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></title>
      <p id="d1e2557">Figure <xref ref-type="fig" rid="Ch1.F3"/>a, b show time series of the QBO-induced variability
in tropical monthly mean <inline-formula><mml:math id="M154" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M155" 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> estimated from the difference
between the residual (<inline-formula><mml:math id="M156" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula> in Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>) without and with explicit
inclusion of the QBO signal for the 2005–2016 period.
For the QBO-induced impact, anomalies in both trace gases are roughly in
phase below 500 <inline-formula><mml:math id="M157" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>, with a delay of a few months for the <inline-formula><mml:math id="M158" 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>
anomalies. Both trace gases reveal a footprint of the QBO disruption in their
anomalies, e.g., a shift from increasing mixing ratios (positive anomalies)
related to the westerly wind shear (positive QBOi) to decreasing mixing
ratios (negative anomalies) related to the easterly wind shear (negative QBOi).
The occurrence of the easterly wind shear at 40 <inline-formula><mml:math id="M159" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">550</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M161" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>)
induces significant negative <inline-formula><mml:math id="M162" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M163" 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> anomalies as large as
15 %–20 % between 380 and 450 <inline-formula><mml:math id="M164" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> consistent with upward transport
of young and dehydrated air
poor in <inline-formula><mml:math id="M165" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M166" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> into the lower stratosphere (Fig. <xref ref-type="fig" rid="Ch1.F3"/>).
The response of the <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies to the QBO shift is sudden and follows
the monthly mean zonal mean wind changes as represented in ERA-Interim reanalysis.
The <inline-formula><mml:math id="M168" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> response to the QBO disruption is delayed by about 3–6 months
due to its tropospheric origin, and reaches its minimum value in autumn 2016.
The results for both <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M170" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> are consistent with those
shown previously by <xref ref-type="bibr" rid="bib1.bibx144" id="text.88"/>. The westerly wind shear that appears
between 30 and 10 <inline-formula><mml:math id="M171" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">570</mml:mn></mml:mrow></mml:math></inline-formula>–600 <inline-formula><mml:math id="M173" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>) reduces the upward motion of the
BD-circulation and causes positive <inline-formula><mml:math id="M174" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M175" 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> anomalies of up to
5 % and 10 % in the lower stratosphere  (above 570 <inline-formula><mml:math id="M176" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>) during the early
boreal winter of 2015–2016.</p>
      <p id="d1e2806">The zonal mean impact of the QBO disruption on <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M178" 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>
anomalies is calculated as the difference between the residuals
averaged between April and December 2016 (Fig. <xref ref-type="fig" rid="Ch1.F3"/>c, d, respectively).
In the tropics, the observed negative <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies in Fig. <xref ref-type="fig" rid="Ch1.F3"/>a
reach up to 450 <inline-formula><mml:math id="M180" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> due to the easterly QBO phase, whilst above that level,
the positive <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies remain mainly confined below 600 <inline-formula><mml:math id="M182" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> due
to the westerly QBO phase (Fig. <xref ref-type="fig" rid="Ch1.F3"/>c).
In the extratropics, the changes in <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies reflect large variability
at high latitudes, which can be associated with the effect of the QBO influence on
the extratropical circulation <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx24" id="paren.89"/>, stratospheric
major warmings and chemical processes <xref ref-type="bibr" rid="bib1.bibx153 bib1.bibx95" id="paren.90"/>.</p>
      <p id="d1e2894">In contrast to the strong El Niño, the QBO disruption significantly dehydrates
the lower stratosphere (Fig. <xref ref-type="fig" rid="Ch1.F3"/>d).
Below the 450 <inline-formula><mml:math id="M184" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> level, the lower stratospheric <inline-formula><mml:math id="M185" 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> abundances
globally decrease due to the enhanced tropical upwelling and related decrease
of cold point temperature <xref ref-type="bibr" rid="bib1.bibx72 bib1.bibx58 bib1.bibx52 bib1.bibx134" id="paren.91"/>.
This decrease in <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> mixing ratios reaches a maximum net change of about minus
10–20 % (Fig. <xref ref-type="fig" rid="Ch1.F3"/>d). The strongly dehydrated air rising through the
tropical tropopause propagates more toward the Northern Hemisphere than Southern
Hemisphere because of the asymmetry of the meridional circulation driven by
planetary wave activity <xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx37 bib1.bibx79" id="paren.92"/> and
eddy mixing <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx104 bib1.bibx62" id="paren.93"/>.
The large-amplitude negative <inline-formula><mml:math id="M187" 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> anomalies at high latitudes are
likely due to the large atmospheric variability in that region, which is related to
stratospheric major warmings and chemical processes <xref ref-type="bibr" rid="bib1.bibx153 bib1.bibx95" id="paren.94"/>,
or the high-latitude influence of the QBO <xref ref-type="bibr" rid="bib1.bibx68 bib1.bibx4 bib1.bibx2" id="paren.95"/>.
The zonal mean picture of decreasing <inline-formula><mml:math id="M188" 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> related to the QBO disruption is
consistent with the findings of <xref ref-type="bibr" rid="bib1.bibx144" id="text.96"/>, which suggested a global
dehydration of the lower stratosphere.
The positive <inline-formula><mml:math id="M189" 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> anomalies with a maximum occurrence between
500 and 550 <inline-formula><mml:math id="M190" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> are related to the effect of the preceding westerly QBO
phase on TTL temperatures and the upward propagating tape-recorder signal.</p>
</sec>
</sec>
<sec id="Ch1.S6">
  <title>Discussion</title>
      <p id="d1e3007">Two previous studies (i.e., <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx144" id="altparen.97"/>)
focussed on ENSO and QBO, respectively, and made contradictory statements on the
<inline-formula><mml:math id="M191" 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> anomalies in 2015–2016. <xref ref-type="bibr" rid="bib1.bibx3" id="text.98"/> argued that the
most recent El Niño event significantly moistened the lower stratosphere due to
ice lofting, with the QBO  having only a small contribution.
In contrast, <xref ref-type="bibr" rid="bib1.bibx144" id="text.99"/> attributed the lower stratospheric <inline-formula><mml:math id="M192" 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>
changes from spring to autumn to the 2015–2016 QBO disruption.
Our analysis shows that the QBO<?pagebreak page13062?> disruption significantly decreased global lower
stratospheric <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> from early spring to late autumn and reversed the lower
stratosphere moistening triggered by the alignment of the warm ENSO event with
westerly QBO in early boreal winter. These presented regression results are
significant with respect to the measurement uncertainties.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p id="d1e3061">Latitude–time evolution of the global deseasonalized MLS <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
<bold>(a)</bold> together with the ENSO <bold>(b)</bold> and QBO <bold>(c)</bold> impact on lower stratospheric <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in percent
change from long-term zonal monthly means derived from the multiple regression
fit and averaged between 380 and 425 <inline-formula><mml:math id="M196" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> for the 2005–2016 period.
Note that there is a factor of 4 difference in the color scales in <bold>(b)</bold> and
<bold>(c)</bold> reflecting the difference in the magnitude of the <inline-formula><mml:math id="M197" 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> changes related to ENSO compared
to those related to the QBO.
The vertical black dashed line indicates February 2015 for the warm ENSO onset.
The vertical black line indicates February 2016 for the QBO shift onset.
The monthly averaged zonal mean zonal wind component, <inline-formula><mml:math id="M198" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> (m s<inline-formula><mml:math id="M199" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), from
ERA-Interim between 380 and 500 <inline-formula><mml:math id="M200" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> is overlaid as solid white (westerly) and
solid gray (easterly) lines.</p></caption>
        <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/13055/2018/acp-18-13055-2018-f04.jpg"/>

      </fig>

      <?pagebreak page13063?><p id="d1e3159">An interesting open question concerns what would have happened to the lower
stratospheric <inline-formula><mml:math id="M201" 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> anomalies if there had been no QBO disruption? The
clearest picture emerges from the latitude–time series of <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> anomalies
in Fig. <xref ref-type="fig" rid="Ch1.F4"/>, on which we concentrate our discussion in the following.
Figure <xref ref-type="fig" rid="Ch1.F4"/> shows the deseasonalized time series (a) together with
the impact of the QBO (b) and ENSO (c) on <inline-formula><mml:math id="M203" 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> averaged in the lower
stratosphere between 380 and 425 <inline-formula><mml:math id="M204" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>. Remarkably, the variability in <inline-formula><mml:math id="M205" 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>
anomalies shown in Fig. <xref ref-type="fig" rid="Ch1.F4"/>a is largely explained by the interplay
between the ENSO- and QBO-induced variability.
In early boreal winter 2015–2016, Fig. <xref ref-type="fig" rid="Ch1.F4"/>a shows that the lower
stratosphere was strongly moistened by both the strong El Niño event
(Fig. <xref ref-type="fig" rid="Ch1.F4"/>b) and the westerly QBO phase (Fig. <xref ref-type="fig" rid="Ch1.F4"/>c).
Considered as one of the three strongest occurring since 1950 <xref ref-type="bibr" rid="bib1.bibx70 bib1.bibx69" id="paren.100"/>,
the most recent El Niño event stands out in the decadal record of ENSO impact
on <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the lower stratosphere (see black vertical dashed line in
Fig. <xref ref-type="fig" rid="Ch1.F4"/>b), consistent with the findings of <xref ref-type="bibr" rid="bib1.bibx3" id="text.101"/>.
The positive <inline-formula><mml:math id="M207" 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> anomalies induced by this most recent El Niño slowly propagate
with time into the extratropical lower stratosphere of both hemispheres due to the
shallow branch of BD-circulation and eddy mixing processes. During the boreal winter
2015–2016 (DJFM, December–March), the westerly QBO phase contribution to <inline-formula><mml:math id="M208" 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>
anomalies adds to the El Niño-induced <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> variability, resulting in particularly
large <inline-formula><mml:math id="M210" 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> anomalies, consistent with the findings of <xref ref-type="bibr" rid="bib1.bibx144" id="text.102"/>.</p>
      <p id="d1e3312">However, the QBO shift from westerly to easterly wind shear at 40 <inline-formula><mml:math id="M211" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">550</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M213" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>)
suddenly reverses the extreme lower stratospheric moistening by significantly
decreasing <inline-formula><mml:math id="M214" 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> from boreal spring 2016 to boreal winter 2016–2017 (Fig. <xref ref-type="fig" rid="Ch1.F4"/>c).
The QBO disruption contributes the most to the lower stratospheric water budget
between 380 and 425 <inline-formula><mml:math id="M215" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>, with strong negative <inline-formula><mml:math id="M216" 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> anomalies of about 20 % from
boreal spring to boreal winter 2016–2017 compared to the El Niño,
which only induces about 5–10 % increase on average in this layer during
the same period. Therefore, if there had been no QBO disruption during the
boreal winter of 2015–2016 with an ongoing westerly QBO phase, the <inline-formula><mml:math id="M217" 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>
anomalies would have likely increased to more than 25 %, leading to changes larger
than previously observed in the lower stratospheric water budget.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p id="d1e3391">Standard deviation (SD) of the global deseasonalized MLS <inline-formula><mml:math id="M218" 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> (black)
together with the SD of the ENSO (blue), QBO (red) and ENSO plus QBO (green) impact
on lower stratospheric <inline-formula><mml:math id="M219" 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> derived from the multiple regression fit results shown
in Fig. <xref ref-type="fig" rid="Ch1.F4"/>.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/13055/2018/acp-18-13055-2018-f05.pdf"/>

      </fig>

      <?pagebreak page13064?><p id="d1e3428">The control of the interannual variability in lower stratospheric <inline-formula><mml:math id="M220" 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>
anomalies critically depends on the alignment of the ENSO events and QBO phases.
Alignment of a westerly QBO phase with El Niño leads to strongly positive <inline-formula><mml:math id="M221" 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>
anomalies as illustrated for the boreal winters of 2006–2007 and 2015–2016.
Alignment of an easterly QBO phase with La Niña induces strongly negative <inline-formula><mml:math id="M222" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
anomalies, for example, as seen during the boreal winter of 2005–2006 and 2007–2008.
This result is consistent with previous studies based on observations <xref ref-type="bibr" rid="bib1.bibx155" id="paren.103"/>
and climate models <xref ref-type="bibr" rid="bib1.bibx15" id="paren.104"/>.
According to the findings of <xref ref-type="bibr" rid="bib1.bibx155" id="text.105"/>, the greatest dehydration of air
entering the stratosphere from the troposphere occurs during the winter under
La Niña and easterly QBO phase.
<xref ref-type="bibr" rid="bib1.bibx15" id="text.106"/> suggested that a large decline in <inline-formula><mml:math id="M223" 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> anomalies
can be found after strong El Niño/La Niña events combined with a
transition from the westerly QBO phase during La Niña to the easterly
QBO phase. In conclusion, the alignment of the westerly QBO phases with El
Niño events (e.g., 2006–2007, early 2015–2016) and easterly QBO with La Niña
events (e.g., 2005–2006, 2007–2008) are the key factors in creating extreme
lower stratospheric water vapor anomalies via a control of cold point tropopause
temperatures.
Consistent with this picture, the variance in the deseasonalized <inline-formula><mml:math id="M224" 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> time
series is largely captured by this interplay of the ENSO events and QBO phases
as shown in Fig. <xref ref-type="fig" rid="Ch1.F5"/>. The variance in the QBO- and ENSO-induced
changes in <inline-formula><mml:math id="M225" 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> anomalies shows that the QBO contributes the largest
part to the <inline-formula><mml:math id="M226" 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> variability (Fig. <xref ref-type="fig" rid="Ch1.F5"/>).</p>
      <p id="d1e3540">In addition, when the ENSO signal is weak or moderate (e.g., 2012–2015, early
winter 2016–2017), the lower stratospheric <inline-formula><mml:math id="M227" 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> anomalies are
dominated by the QBO phases. This QBO control of the lower stratospheric
<inline-formula><mml:math id="M228" 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> budget is also illustrated during the boreal winter of 2010–2011.
Despite the ongoing La Niña event, which dehydrated the lower stratosphere,
the impact of the westerly QBO phase on <inline-formula><mml:math id="M229" 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> anomalies dominated, leading to
positive anomalies approaching 25 %. According to <xref ref-type="bibr" rid="bib1.bibx105" id="text.107"/>, the
westerly wind shear persisted slightly longer than usual during the 2008–2013
period (QBOi in Fig. <xref ref-type="fig" rid="Ch1.F4"/>c). Therefore, this persistence of the westerly
QBO can explain the large <inline-formula><mml:math id="M230" 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> anomalies during this period. Note
that the 2011 winter had an extreme anomalously strong vortex, i.e., strongly
reduced BD-circulation, which also might have contributed to these large positive
anomalies <xref ref-type="bibr" rid="bib1.bibx97" id="paren.108"/>. An additional example of this QBO control on
the lower stratospheric <inline-formula><mml:math id="M231" 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> anomalies is the drop in <inline-formula><mml:math id="M232" 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> during
the 2012–2013 boreal winter <xref ref-type="bibr" rid="bib1.bibx146" id="paren.109"/>.
These extremely negative <inline-formula><mml:math id="M233" 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> anomalies are associated with the rapid
cooling of the tropical cold point tropopause temperatures induced by easterly
wind shear and a major sudden stratospheric warming <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx141" id="paren.110"/>.
This cooling of the tropical cold point tropopause temperatures is induced
by a downward shift of the zero wind line (<inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M235" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>) during easterly
wind shear, inducing more subtropical wave dissipation at low latitudes,
therefore efficiently speeding up the shallow branch of the BD-circulation
<xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx54" id="paren.111"/>.
Therefore, based on these recent findings <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx36 bib1.bibx141" id="paren.112"/>,
we can explain the sudden drop in the lower stratospheric moistening
from boreal spring 2016 to boreal winter 2016–2017 despite
the strong El Niño as a consequence of the rapid cooling of the tropical
cold point tropopause temperatures induced by the QBO disruption
(easterly; <xref ref-type="bibr" rid="bib1.bibx144" id="altparen.113"/>) and the major stratospheric final warming in 2016
<xref ref-type="bibr" rid="bib1.bibx95" id="paren.114"/>, which strengthened the shallow branch of the BD-circulation.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p id="d1e3682">Latitude–time evolution of the global deseasonalized CLaMS <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
<bold>(a)</bold> together with the ENSO <bold>(b)</bold> and QBO <bold>(c)</bold> impact on lower stratospheric <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in percent
change from long-term zonal monthly means derived from the multiple regression
fit and averaged between 380 and 430 <inline-formula><mml:math id="M238" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> for the 2005–2016 period.
Note that there is a factor of 4 difference in the color scales in Fig. 4b and c
reflecting the difference in the magnitude of the <inline-formula><mml:math id="M239" 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> changes related to ENSO
compared to those related to the QBO.
The vertical black dashed line indicates February 2015 for the warm ENSO onset.
The vertical black line indicates February 2016 for the QBO shift onset.
The monthly averaged zonal mean zonal wind component, <inline-formula><mml:math id="M240" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> (m s<inline-formula><mml:math id="M241" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), from
ERA-Interim between 380 and 500 <inline-formula><mml:math id="M242" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> is overlaid as solid white (westerly) and
solid gray (easterly) lines.</p></caption>
        <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://acp.copernicus.org/articles/18/13055/2018/acp-18-13055-2018-f06.jpg"/>

      </fig>

      <p id="d1e3773">In order to gain confidence in the robustness of the above discussed results and to
illustrate the ability of the CLaMS model to capture the unusual timing of QBO shift
and El Niño in 2015–2016, we have also estimated the impact of their interplay on
lower stratospheric <inline-formula><mml:math id="M243" 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> anomalies from the CLaMS simulations using the same regression
method. Consistently, the CLaMS <inline-formula><mml:math id="M244" 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> anomalies show characteristics in good
agreement with the zonally averaged <inline-formula><mml:math id="M245" 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> anomalies from MLS (Fig. <xref ref-type="fig" rid="Ch1.F6"/>a).
CLaMS simulations and MLS observations agree remarkably well throughout the
entire record and especially the El Niño and QBO signals in 2015–2016 (Fig. <xref ref-type="fig" rid="Ch1.F6"/>b, c).
In particular, also in the model the El Niño signal is much weaker than the impact
of the QBO disruption on lower stratospheric <inline-formula><mml:math id="M246" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>. The influence of the QBO
disruption turns out to be 4 times stronger than the El Niño impact in 2015–2016.
Consequently, the reanalysis meteorology (here ERA-Interim) in combination with a
sophisticated chemistry transport model (here CLaMS) realistically represents the
effects of the interplay of QBO and ENSO on lower stratospheric <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <?pagebreak page13065?><p id="d1e3847">Current climate models predict a shift of the basic state toward more
frequent El Niño conditions as well as a weakening QBO amplitude in the
lower stratosphere for the future climate due to anthropogenic climate
change <xref ref-type="bibr" rid="bib1.bibx147 bib1.bibx142 bib1.bibx19 bib1.bibx73" id="paren.115"/>.
Hence, the interplay of ENSO events and QBO phases affecting the lower
stratospheric water vapor and ozone is likely to change, causing changes
in radiative forcing of surface climate. An improved understanding of the
interplay between ENSO events and QBO phases will help to reduce related
uncertainties in climate projections as well as in past and future lower stratospheric
<inline-formula><mml:math id="M248" 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> trends <xref ref-type="bibr" rid="bib1.bibx81 bib1.bibx64" id="paren.116"/>. In addition, subtle
differences in the alignment of ENSO and QBO could contribute to the large
spread in basic state cold point tropopause temperature between different
climate models and induced ozone radiative feedback <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx100" id="paren.117"/>.</p>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <title>Summary and conclusions</title>
      <p id="d1e3878">Based on an established multiple regression method applied to Aura MLS
observations and CLaMS model simulations, we found that both the
most recent El Niño and the QBO<?pagebreak page13066?> disruption in 2015–2016 induced
substantial changes in the lower stratospheric <inline-formula><mml:math id="M249" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>.
The El Niño-induced substantial positive anomalies of up to 10 % in
<inline-formula><mml:math id="M251" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and negative anomalies of about 15 % in <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>.
Our results also demonstrate that if there had been no QBO disruption,
the lower stratosphere would likely have been substantially moistened
by the alignment of the El Niño with the westerly QBO, with deseasonalized
anomalies exceeding 25 %.</p>
      <p id="d1e3929">In boreal winter of 2015–2016 (September 2015–March 2016), the alignment of the
strong El Niño with the westerly QBO strongly moistened the lower stratosphere
(positive anomalies of more than 20 %).
However, the sudden shift in the QBO from westerly to easterly wind shear reversed
the moistening of the lower stratosphere between 380 and 450 <inline-formula><mml:math id="M253" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>, leading to large
negative <inline-formula><mml:math id="M254" 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> anomalies of as much as 20 % by autumn 2016
(4 times bigger than the El Niño influence in early 2016). The QBO also led to
positive <inline-formula><mml:math id="M255" 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> anomalies over 460–600 <inline-formula><mml:math id="M256" display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> from April to December 2016.
The El Niño-induced <inline-formula><mml:math id="M257" 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> anomalies are opposite to the easterly QBO-induced
<inline-formula><mml:math id="M258" 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> changes. This opposite response arises because the QBO affects the
atmosphere in a zonally symmetric manner, whereas ENSO predominantly creates
zonally asymmetric signatures (source region of the dehydration <xref ref-type="bibr" rid="bib1.bibx80 bib1.bibx3" id="altparen.118"/>),
and therefore the two mechanisms give rise to different patterns
of variability in the tropical cold point tropopause temperatures.
Interestingly, although this QBO shift reversed the moistening of the
lower stratosphere, the <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mixing ratios continued to decrease
in the tropics, indicating an additional acceleration of the BD-circulation.</p>
      <p id="d1e4013">The control of stratospheric <inline-formula><mml:math id="M260" 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> anomalies strongly depends on the
interaction of ENSO events and QBO phases. The alignment of the
westerly QBO phase with El Niño and the easterly QBO phase with La Niña
are the key factors regulating the stratospheric water budget.
The interaction of El Niño and the westerly QBO phase leads to large
positive lower stratospheric <inline-formula><mml:math id="M261" 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> anomalies, while the interplay
between La Niña and easterly QBO phase leads to negative anomalies.
During weak and moderate ENSO events, the <inline-formula><mml:math id="M262" 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> anomalies are
controlled by the QBO phase.
The effects of QBO and ENSO on lower stratospheric <inline-formula><mml:math id="M263" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> in the MLS
observations are consistent with CLaMS model results.</p>
      <p id="d1e4068">Our results suggest that the interplay of ENSO events and QBO phases will
be crucial for the control of the lower stratospheric water vapor and ozone
budget under changing future climate, when increasing El Niño-like conditions
<xref ref-type="bibr" rid="bib1.bibx142 bib1.bibx19" id="paren.119"/> and a decreasing lower stratospheric QBO
amplitude <xref ref-type="bibr" rid="bib1.bibx73" id="paren.120"/> are expected. The interplay will change, with
ENSO likely controlling the lower stratospheric trace gas variability  more
strongly in the future. It is clear that ENSO impacts both tropopause
height and tropopause temperature. Future analysis is needed using sensitivity
runs from global circulation models and coupled chemistry-climate models to
diagnose and separate the impact of future changes in tropopause height and
tropopause temperature on stratospheric water.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability">

      <p id="d1e4081">The Aura Microwave Limb Sounder product
(<uri>http://disc.sci.gsfc.nasa.gov/Aura/data-holdings/MLS/index.shtml</uri>, last access: 4 September 2018, Livesey et al., 2017; Santee et
al., 2017)
and ERA-Interim reanalysis data (<uri>https://www.ecmwf.int/en/forecasts/datasets/reanalysis-datasets/era-interim</uri>,
last access: 4 September 2018, Dee et al., 2011) are available.
The CLaMS <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> data set can be requested from the corresponding author Mohamadou Diallo (m.diallo@fz-juelich.de).</p>
  </notes><notes notes-type="authorcontribution">

      <p id="d1e4106">All co-authors made substantial contributions to the analysis and
interpretation of the data as well as contributing to drafting the article.</p>
  </notes><notes notes-type="competinginterests">

      <p id="d1e4112">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="sistatement">

      <p id="d1e4119">This article is part of the special issue “Water vapour in the
upper troposphere and middle atmosphere: a WCRP/SPARC satellite data quality
assessment including biases, variability, and drifts (ACP/AMT/ESSD
inter-journal SI)”. It is not associated with a conference.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4125">We particularly thank the NASA Jet Propulsion Laboratory and the European Centre for Medium-Range
Weather Forecasts for providing the Aura Microwave Limb Sounder product (<uri>https://mls.jpl.nasa.gov/</uri>, last access: 4 September 2018)
and the ERA-Interim reanalysis data. Work at the Jet Propulsion Laboratory, California Institute
of Technology, was done under contract with the National Aeronautics and Space Administration.
This work was funded by the Helmholtz Association under grant number VH-NG-1128
(Helmholtz-Hochschul-Nachwuchsforschergruppe). The authors thank the organizing committee
of SPARC training school on stratosphere–troposphere interactions during which this
work was initiated. We sincerely thank Chen Schwartz at the Hebrew University of
Jerusalem, Israel, and Abebe Kebede of Bahir Dar University, Ethiopia, for helpful
discussions. Finally our thanks go to the anonymous reviewers.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
The article processing charges for this open-access <?xmltex \hack{\newline}?>
publication  were covered by a Research <?xmltex \hack{\newline}?> Centre of the Helmholtz Association.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: Karen Rosenlof<?xmltex \hack{\newline}?>
Reviewed by: two anonymous referees</p></ack><?xmltex \hack{\newpage}?><?xmltex \hack{\newpage}?><ref-list>
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<abstract-html><p>The stratospheric circulation determines the transport and lifetime of key
trace gases in a changing climate, including water vapor and ozone, which
radiatively impact surface climate.
The unusually warm El Niño–Southern Oscillation (ENSO) event aligned with a
disrupted Quasi-Biennial Oscillation (QBO) caused an unprecedented perturbation
to this circulation in 2015–2016.
Here, we quantify the impact of the alignment of these two phenomena in 2015–2016
on lower stratospheric water vapor and ozone from satellite observations. We show
that the warm ENSO event substantially increased water vapor and decreased ozone
in the tropical lower stratosphere.
The QBO disruption significantly decreased global lower stratospheric water vapor
and tropical ozone from early spring to late autumn.
Thus, this QBO disruption reversed the lower stratosphere moistening triggered
by the alignment of the warm ENSO event with westerly QBO in early boreal winter.
Our results suggest that the interplay of ENSO events and QBO phases will be
crucial for the distributions of radiatively active trace gases
in a changing future climate, when increasing El Niño-like conditions and
a decreasing lower stratospheric QBO amplitude are expected.</p></abstract-html>
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