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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-22-14303-2022</article-id><title-group><article-title>Stratospheric water vapour and ozone response to the quasi-biennial oscillation disruptions in
2016 and 2020</article-title><alt-title>Impact of the QBO disruptions on water vapour and ozone</alt-title>
      </title-group><?xmltex \runningtitle{Impact of the QBO disruptions on water vapour and ozone}?><?xmltex \runningauthor{M.~A.~Diallo et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Diallo</surname><given-names>Mohamadou A.</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 aff2">
          <name><surname>Ploeger</surname><given-names>Felix</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Hegglin</surname><given-names>Michaela I.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ern</surname><given-names>Manfred</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8565-2125</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Grooß</surname><given-names>Jens-Uwe</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9485-866X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Khaykin</surname><given-names>Sergey</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5466-1096</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Riese</surname><given-names>Martin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6398-6493</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Energy and Climate Research, Stratosphere (IEK–7), <?xmltex \hack{\break}?> Forschungszentrum Jülich, 52425 Jülich, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute for Atmospheric and Environmental Research, University of Wuppertal, Wuppertal, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Meteorology, University of Reading, Reading, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Laboratoire Atmosphères, Milieux, Observations Spatiales, UMR CNRS 8190, IPSL, <?xmltex \hack{\break}?> Sorbonne Univ./UVSQ, Guyancourt, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Mohamadou A. Diallo (m.diallo@fz-juelich.de)</corresp></author-notes><pub-date><day>8</day><month>November</month><year>2022</year></pub-date>
      
      <volume>22</volume>
      <issue>21</issue>
      <fpage>14303</fpage><lpage>14321</lpage>
      <history>
        <date date-type="received"><day>30</day><month>May</month><year>2022</year></date>
           <date date-type="rev-request"><day>3</day><month>June</month><year>2022</year></date>
           <date date-type="rev-recd"><day>15</day><month>October</month><year>2022</year></date>
           <date date-type="accepted"><day>18</day><month>October</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 </copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.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><title>Abstract</title>

      <p id="d1e161">The quasi-biennial oscillation (QBO) is a major mode of climate variability in the tropical stratosphere with quasi-periodically descending westerly and easterly winds, modulating transport and distributions of key greenhouse gases such as water vapour and ozone. In 2016 and 2020, anomalous QBO easterlies disrupted the QBO's mean period of about 28 months previously observed. Here, we quantify the impact of these two QBO disruption events on the Brewer–Dobson circulation and respective distributions of water vapour and ozone using the ERA5 reanalysis and Microwave Limb Sounder (MLS) satellite observations, respectively. In 2016, both water vapour and ozone in the lower stratosphere decreased globally during the QBO disruption event by up to about 20 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. In 2020, the lower-stratospheric ozone  only weakly decreased during the QBO disruption event, by up to about 10 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, while the lower-stratospheric water vapour increased by up to about 15 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. These dissimilarities in the anomalous circulation and the related ozone response between the year 2016 and the year 2020 result from differences in the tropical upwelling and in the secondary circulation of the QBO caused by differences in anomalous planetary and gravity wave breaking in the lower stratosphere near the equatorward upper flanks of the subtropical jet. The anomalous planetary and gravity wave breaking was stronger in the lower stratosphere between the tropopause and the altitude of about 23 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> during the QBO disruption events in 2016 than in 2020. However, the differences in the response of lower-stratospheric water vapour to the QBO disruption events between the year 2016 and the year 2020 are mainly due to the differences in cold-point temperatures induced by Australian wildfire, which moistened the lower stratosphere, thereby obscuring the impact of the QBO disruption event in 2020 on water vapour in the lower stratosphere. Our results highlight the need for a better understanding of the causes of the QBO disruption, their interplay with other modes of climate variability in the Indo-Pacific region, including the El Niño–Southern Oscillation (ENSO) and the Indian Ocean Dipole (IOD), and their impacts on water vapour and ozone in the upper troposphere/lower stratosphere in the face of a changing climate.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e205">The upper troposphere and lower stratosphere (UTLS) form a key region of the Earth's climate system because of a large sensitivity of radiative forcing to greenhouse gas variations in that region, such as water vapour (<inline-formula><mml:math id="M5" 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 ozone (<inline-formula><mml:math id="M6" 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>) <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx17 bib1.bibx72" id="paren.1"/>. The transport and distribution of these trace gases in the UTLS are determined by the stratospheric Brewer–Dobson circulation (BDC), defined as the meridional overturning circulation which transports air masses upward from the tropics, poleward, and then downward in the extratropics through its transition and shallow branches in the UTLS and its deep branch in the middle and upper stratosphere <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx9 bib1.bibx63" id="paren.2"/>. Any changes in the composition of these radiatively active trace gases in the UTLS region induced by the BDC and its modulation by the modes of climate variability lead to large impacts on surface climate <xref ref-type="bibr" rid="bib1.bibx28 bib1.bibx27 bib1.bibx96 bib1.bibx84 bib1.bibx9 bib1.bibx19 bib1.bibx20 bib1.bibx21 bib1.bibx22" id="paren.3"><named-content content-type="pre">e.g.</named-content></xref>.</p>
      <p id="d1e243">Ozone is mainly produced in the lower and middle stratosphere between about 16 and 35 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in altitude, often referred to as the ozone layer <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx107 bib1.bibx60" id="paren.4"/>. In addition, ozone variability in the tropical lower stratosphere is a good proxy for the tropical upwelling of the BDC <xref ref-type="bibr" rid="bib1.bibx81 bib1.bibx1 bib1.bibx98" id="paren.5"/>. The ozone transport and lifetime in the UTLS region are both modulated by the seasonality in the BDC and the modes of climate variability, such as the quasi-biennial oscillation (QBO) <xref ref-type="bibr" rid="bib1.bibx79 bib1.bibx20" id="paren.6"/>. Lower-stratospheric water vapour and its multi-timescale variations ranging from days to decades are mainly controlled by changes in the tropical cold-point temperatures and its modulations by the natural climate variability <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx46 bib1.bibx20 bib1.bibx99 bib1.bibx78" id="paren.7"/>. Therefore, the amount of water vapour in the UTLS region is directly linked to the dehydration (i.e. the process of removing water) of the air parcels crossing through the coldest temperatures in the tropical tropopause layer <xref ref-type="bibr" rid="bib1.bibx30" id="paren.8"><named-content content-type="pre">e.g. between 14 and 19 <inline-formula><mml:math id="M8" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>;</named-content></xref>.</p>
      <p id="d1e280">Mostly driven by gravity waves and equatorially trapped waves, the QBO is a quasi-periodic oscillation between tropical westerly and easterly zonal winds <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx25" id="paren.9"/>. The QBO is considered a dominant mode of climate variability of the equatorial stratosphere, and it globally impacts the transport and distributions of stratospheric trace gases, including water vapour and ozone. Both alternating QBO easterly and westerly zonal wind regimes modulate the vertical and meridional components of the BDC and affect temperature structure, thereby impacting the water vapour and ozone composition and radiative feedback in the UTLS region  <xref ref-type="bibr" rid="bib1.bibx77 bib1.bibx71 bib1.bibx20" id="paren.10"/>.</p>
      <p id="d1e289">The quasi-periodic QBO mean cycle of an approximately 28-month period, which alternates between westerly and easterly zonal winds, was subject to two disruptions in the past 5 years. In February 2016 and January 2020, the QBO westerlies in the tropical lower stratosphere were unexpectedly interrupted by anomalous QBO easterlies caused by planetary waves propagating from the mid-latitudes toward the equatorial region combined with equatorial convective gravity waves <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx14 bib1.bibx52 bib1.bibx51" id="paren.11"/>.
Hitherto, there has been no clear understanding of how these QBO disruption events are linked to anomalously warm or cold sea surface temperatures <xref ref-type="bibr" rid="bib1.bibx89 bib1.bibx24 bib1.bibx12 bib1.bibx6" id="paren.12"/>, volcanic aerosols <xref ref-type="bibr" rid="bib1.bibx59 bib1.bibx15" id="paren.13"/>, wildfire smoke <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx109 bib1.bibx74" id="paren.14"/>, and climate change <xref ref-type="bibr" rid="bib1.bibx4" id="paren.15"/>. However, a recent study based on climate model simulations from Phase 6 of the Coupled Model Intercomparison Project (CMIP6) predicts increased disruption frequencies to the quasi-regular QBO cycle in a changing climate <xref ref-type="bibr" rid="bib1.bibx4" id="paren.16"/>. Previous studies also suggest that the QBO amplitude in the tropical stratosphere is decreasing in the lower stratosphere due to the climate-change-induced strengthening of the tropical upwelling <xref ref-type="bibr" rid="bib1.bibx88 bib1.bibx54 bib1.bibx53" id="paren.17"/>. Thus, in the context of a changing climate, the predictable QBO signal associated with the quasi-regular phase progression and amplitude as well as its potential impacts on UTLS composition faces an uncertain future.
Therefore, it is of particular importance to quantify and better understand the different anomalous circulations and the impacts of the QBO disruption events on UTLS water vapour and ozone, which have the potential to locally and globally affect the radiative forcing of the Earth's climate system through their impacts on surface temperatures <xref ref-type="bibr" rid="bib1.bibx27 bib1.bibx10 bib1.bibx96 bib1.bibx84" id="paren.18"/>.</p>
      <p id="d1e318">Here, we use satellite observations to quantify the similarities and differences in the strength and depth of perturbed/disrupted QBO impacts in 2016 and 2020 on water vapour and ozone in the lower stratosphere. Also, we analyse the main drivers of the differences in anomalous circulation and UTLS composition changes. Section <xref ref-type="sec" rid="Ch1.S2"/> describes the satellite observational data sets and the multi-variate hybrid regression model used for the quantification. Section <xref ref-type="sec" rid="Ch1.S3"/> describes the anomalous BDC and UTLS composition changes following the 2016 and 2020 QBO disruption events. Section <xref ref-type="sec" rid="Ch1.S4"/> discusses the results of a well-established multi-variate hybrid regression analysis to provide evidence for the impact of the QBO disruption events on lower-stratospheric water vapour and ozone. Finally, we discuss the main reasons for the differences between the 2016 and 2020 impacts of the QBO disruption events on BDC and UTLS composition and the related dynamical processes associated with planetary and gravity wave dissipation, which are likely caused by the anomalous surface conditions associated with the strong El Niño–Southern Oscillation (ENSO) in 2015–2016 and the strong Indian Ocean Dipole (IOD) in 2019–2020. We also discuss the differences in BDC and UTLS composition between 2016 and 2020 in terms of the particularly warm stratosphere in the context of Australian wildfire smoke in 2020.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methodology</title>
      <p id="d1e335">To quantify the QBO and Australian wildfire smoke impacts, we used the monthly mean, zonal mean ozone and water vapour mixing ratios from Aura Microwave Limb Sounder (MLS) satellite observations covering the 2005–2020 period <xref ref-type="bibr" rid="bib1.bibx66" id="paren.19"/>. The version 4.4 MLS data set used here has a vertical resolution of 2.5–3.5 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> ranging from 8 to 35 <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and from 60<inline-formula><mml:math id="M11" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S to 60<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N. The individual profile measurements of this version 4.4 have a precision and systematic uncertainty of about <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–40 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–25 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M20" 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="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M22" 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="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ppmv</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M24" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–10 % for <inline-formula><mml:math id="M27" 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>, respectively, with a spatial representativeness of <inline-formula><mml:math id="M28" 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="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> along the orbital-track line of sight <xref ref-type="bibr" rid="bib1.bibx91 bib1.bibx66 bib1.bibx87" id="paren.20"/>. Previous findings show that MLS monthly mean, zonal mean <inline-formula><mml:math id="M30" 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 show very good agreement with 13 water vapour products from 11 limb-viewing satellite instruments throughout most of the atmosphere (including the UTLS), with mean deviations from the multi-instrument mean between <inline-formula><mml:math id="M31" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>2.5 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M33" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>5 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>, making these random errors irrelevant for the averaged monthly mean, zonal 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> anomalies used in this study <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx40" id="paren.21"><named-content content-type="pre">e.g.</named-content></xref>.</p>
      <p id="d1e599">In addition to the MLS observation data sets, we also utilize the temperature (<inline-formula><mml:math id="M36" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>) and zonal mean wind (<inline-formula><mml:math id="M37" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>) for the 2005–2020 time period from the ERA5 reanalysis of the European Centre for Medium-Range Weather Forecasts (ECMWF) <xref ref-type="bibr" rid="bib1.bibx41" id="paren.22"/>. We have also calculated the residual circulation vertical velocity (<inline-formula><mml:math id="M38" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>) using the transformed Eulerian mean (TEM; <xref ref-type="bibr" rid="bib1.bibx2" id="altparen.23"/>) and decomposed the wave drag into planetary wave drag (PWD) and gravity wave drag (GWD) contributions to the circulation anomalies <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx26" id="paren.24"/>. Note that we are using the ERA5 reanalysis data on the original 137 model levels for calculating the TEM budget, but not the coarse conventional pressure-level data, which can cause large uncertainties in the equatorial waves and zonal wind in the tropical stratosphere <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx58 bib1.bibx55" id="paren.25"/>. For more details about the ERA5 TEM calculations and wave decomposition, please see <xref ref-type="bibr" rid="bib1.bibx22" id="text.26"/>.</p>
      <p id="d1e646">We disentangle the QBO impact on the MLS monthly mean, zonal mean stratospheric water vapour and ozone mixing ratios from the other sources of natural climate variability using a multi-variate hybrid regression model for the 2005–2020 period (Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>). In the figures, only the 2013–2020 period is shown to highlight the impact of the two QBO disruption events. The established multi-variate hybrid regression method is appropriate for separating the relative influences of the considered modes of climate variability, including the QBO, on stratospheric water vapour and ozone. Additional details about the multi-variate hybrid regression model and its applications can be found in <xref ref-type="bibr" rid="bib1.bibx20" id="text.27"/>. Our multi-variate hybrid regression model decomposes the given monthly zonal mean variable, Var<inline-formula><mml:math id="M39" display="inline"><mml:msub><mml:mi/><mml:mi>i</mml:mi></mml:msub></mml:math></inline-formula>, into a long-term linear trend, a seasonal cycle, modes of climate variability, and a residual (<inline-formula><mml:math id="M40" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula>). For a given variable Var<inline-formula><mml:math id="M41" display="inline"><mml:msub><mml:mi/><mml:mi>i</mml:mi></mml:msub></mml:math></inline-formula> (herein <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M44" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>, <inline-formula><mml:math id="M45" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>, PWD, and GWD), the multi-variate hybrid regression model yields
          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M46" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">Var</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">month</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">lat</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">alt</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Trend</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">month</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">lat</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">alt</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">SeasCyc</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">month</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">lat</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">alt</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">5</mml:mn></mml:munderover><mml:msub><mml:mi>b</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">lat</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">alt</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">Proxy</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">month</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">lat</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">alt</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>)</mml:mo><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ϵ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">month</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">lat</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">alt</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
        where Proxy<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mi>n</mml:mi></mml:msub></mml:math></inline-formula> represents the different climate indices used here. Proxy<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:math></inline-formula> is a normalized QBO index (QBOi) from the 5<inline-formula><mml:math id="M49" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S–5<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N ERA5 zonally averaged zonal mean winds with
full vertical levels then deseasonalized and normalized by the standard deviation to build the QBOi <xref ref-type="bibr" rid="bib1.bibx41" id="paren.28"/>. Proxy<inline-formula><mml:math id="M51" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> is the normalized Multivariate ENSO Index (MEI; <xref ref-type="bibr" rid="bib1.bibx108" id="altparen.29"/>), Proxy<inline-formula><mml:math id="M52" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> is the IOD <xref ref-type="bibr" rid="bib1.bibx86" id="paren.30"/>, Proxy<inline-formula><mml:math id="M53" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> is the Madden–Julian oscillation (MJO, <xref ref-type="bibr" rid="bib1.bibx97" id="altparen.31"/>), and Proxy<inline-formula><mml:math id="M54" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">5</mml:mn></mml:msub></mml:math></inline-formula> is the aerosol optical depth (AOD) from satellite data <xref ref-type="bibr" rid="bib1.bibx100 bib1.bibx56" id="paren.32"/>. Trend<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">month</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">lat</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">alt</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is a linear trend. SeasCyc<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">month</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">lat</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">alt</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the annual cycle. The coefficients are the amplitude <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi>b</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the lag <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:msub><mml:mi>y</mml:mi><mml:mi mathvariant="normal">lat</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="normal">alt</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> associated with the QBO, ENSO, IOD, MJO, and AOD, respectively. The solar forcing is neglected because our data set is relatively short. Finally, we estimate the uncertainty in the multi-variate hybrid regression model using a Student's <inline-formula><mml:math id="M59" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>-test technique <xref ref-type="bibr" rid="bib1.bibx104 bib1.bibx29" id="paren.33"/>.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Characterization of the 2016 and 2020 anomalous circulations</title>
      <p id="d1e1136">In February 2016 and January 2020, unexpected tropical QBO easterlies (negative QBOi) developed into the downward-propagating tropical QBO westerlies between the altitudes of 16 <inline-formula><mml:math id="M60" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and 25 <inline-formula><mml:math id="M61" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, thereby breaking the quasi-regular QBO cycle of alternating easterly and westerly phases (Figs. <xref ref-type="fig" rid="Ch1.F1"/>a and S1a, b in the Supplement) <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx70 bib1.bibx3" id="paren.34"/>. Both QBO disruption events have been associated with a combination of extratropical Rossby waves, equatorial planetary waves (Kelvin, Rossby, mixed Rossby gravity, and inertia gravity), and small-scale convective gravity waves, propagating into the deep tropics and depositing their negative momentum forcing <xref ref-type="bibr" rid="bib1.bibx73 bib1.bibx70 bib1.bibx52 bib1.bibx51" id="paren.35"/>. Both QBO disruption events were primarily triggered by mid-latitude Rossby waves propagating from the Northern Hemisphere in 2016 and from the Southern Hemisphere in 2020 into the deep tropical lower stratosphere. In 2016, the equatorial planetary wave forcing may have pre-conditioned mid-latitude Rossby waves to break easily at the Equator <xref ref-type="bibr" rid="bib1.bibx64" id="paren.36"><named-content content-type="pre">e.g.</named-content></xref>, while in 2020, the equatorial planetary and small-scale convective gravity waves propagating into the UTLS predominantly contributed to the disruption <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx51" id="paren.37"/>. Note that the potential processes and mechanisms triggering the QBO disruption are still under debate. Recent findings from <xref ref-type="bibr" rid="bib1.bibx67" id="text.38"/> using a one-dimensional theoretical model of the QBO from <xref ref-type="bibr" rid="bib1.bibx77" id="text.39"/> pointed out the key role of the upwelling and wave dissipation. Details regarding the triggering of QBO disruptions have been the focus of several recent studies (e.g. <xref ref-type="bibr" rid="bib1.bibx89 bib1.bibx24 bib1.bibx12 bib1.bibx14 bib1.bibx6 bib1.bibx42 bib1.bibx105 bib1.bibx83 bib1.bibx67" id="altparen.40"/>). Although similar in many respects, including the causes of the sudden development of tropical QBO easterlies into tropical QBO westerlies between the altitudes of 16 and 25 <inline-formula><mml:math id="M62" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, the two QBO disruption events also exhibit differences, particularly in the structure (strength and depth) of their impacts and the level at which the shift started (Fig. <xref ref-type="fig" rid="Ch1.F1"/>a). Here, we mainly focus on the impact of the QBO disruption events on the lower-stratospheric BDC and on the distributions of trace gases like water vapour and ozone.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e1194">Tropical average of the zonal mean zonal wind (<inline-formula><mml:math id="M63" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>) from the ERA5 reanalysis and
deseasonalized stratospheric <inline-formula><mml:math id="M64" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M65" 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> time series from MLS satellite
observations for the 2013–2020 period in percent change from long-term monthly
means as a function of time and altitude. Shown are
<bold>(a)</bold> zonal mean zonal wind <inline-formula><mml:math id="M66" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>, <bold>(b)</bold> deseasonalized monthly mean <inline-formula><mml:math id="M67" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> anomalies,
and <bold>(c)</bold> deseasonalized monthly mean <inline-formula><mml:math id="M68" 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. <bold>(d)</bold> Tropical average of the deseasonalized lower-stratospheric <inline-formula><mml:math id="M69" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (blue)
and <inline-formula><mml:math id="M70" 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> (red) time series between the altitudes of 16 and 18 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. The lowermost panel <bold>(e)</bold> shows the QBO index at 50 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> (21 <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) in red,
the MEI in blue, and the AOD index in black. The vertical grey dashed lines indicate February 2016 and January 2020 for the QBO disruption onset and December 2016 and November 2020 for the QBO disruption offset.
The monthly averaged zonal mean zonal wind component, <inline-formula><mml:math id="M74" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), from the ERA5 reanalysis is overlaid as solid white (westerly wind) and dashed grey (easterly wind) contour lines.</p></caption>
        <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/14303/2022/acp-22-14303-2022-f01.jpg"/>

      </fig>

      <p id="d1e1355">The similarities as well as the differences between the two disruption events are also visible in the inter-annual variability of the tropical lower-stratospheric zonal mean zonal wind (a), <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> (b), and <inline-formula><mml:math id="M77" 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) anomalies as a percentage change relative to the monthly mean mixing ratio during the 2013–2020 period (Fig. <xref ref-type="fig" rid="Ch1.F1"/>a–c). Both QBO disruption events are expected to impact the tropical upwelling of the BDC through the two-way interactions between the mean flow and wave propagation associated with the QBO phases <xref ref-type="bibr" rid="bib1.bibx75 bib1.bibx65 bib1.bibx43 bib1.bibx23 bib1.bibx77 bib1.bibx35 bib1.bibx67" id="paren.41"/> as well as through its control of the tropical cold-point temperatures <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx58" id="paren.42"/>. The impacts of the QBO disruption events in 2016 and 2020 on the transport and distribution of lower-stratospheric <inline-formula><mml:math id="M78" 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="M79" 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 are most effective when the anomalous QBO easterlies reach the tropical cold-point temperature altitude (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M81" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>), with the associated enhanced tropical upwelling driven by the anomalous wave breaking from June to December in 2016 and from June to August in 2020 (Fig. <xref ref-type="fig" rid="Ch1.F1"/>) <xref ref-type="bibr" rid="bib1.bibx103 bib1.bibx20" id="paren.43"/>. The zonal mean, zonal wind shows that the westerly jet between the onset and offset time periods and at the altitude of 25 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> is stronger and deeper during the QBO disruption event in 2016 than during the QBO disruption event in 2020 (Figs. <xref ref-type="fig" rid="Ch1.F1"/>a and S1c, d in the Supplement).
The QBO disruption event in 2020 shows a clear separation of the westerlies into two parts, while the QBO disruption event in 2016 reestablishes the westerlies at the top of the easterlies, e.g. at the altitude of about 25 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>a). As soon as the downward propagation of tropical QBO easterlies reaches the tropical cold-point temperature altitude (<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) from June to December 2016, the <inline-formula><mml:math id="M86" 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 decrease, i.e. turning from positive to negative anomalies. As reported by <xref ref-type="bibr" rid="bib1.bibx20" id="text.44"/>, the alignment of the strong El Niño event with a westerly QBO in the early boreal winter of 2015–2016 (September 2015–March 2016) substantially increased <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> mixing ratios and decreased <inline-formula><mml:math id="M88" 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 by up to about 20 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> in the tropical lower stratosphere between the tropopause (<inline-formula><mml:math id="M90" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula>16 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) and the altitude of about 23 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b–d). The sudden occurrence of the QBO disruption event decreased the lower-stratospheric <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M94" 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 from late spring to the early following winter by up to about 20 <inline-formula><mml:math id="M95" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b–d).</p>
      <p id="d1e1588">Conversely, during the QBO disruption event in 2020, Fig. <xref ref-type="fig" rid="Ch1.F1"/>b–d show clear differences in the tropical lower-stratospheric trace gas anomalies, particularly in the strength and depth of <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> and <inline-formula><mml:math id="M97" 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, consistent with the structural zonal mean zonal wind changes (Fig. S1c, d). The tropical lower-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> anomalies are purely responding to the enhanced tropical upwelling of the BDC caused in 2016 by a combination of a strong El Niño event, a negative IOD event, and the QBO disruption event in 2016 and in 2020 by a combination of a weak La Niña, a strong positive IOD event, and the QBO disruption events in 2020 (e.g. easterly winds between 16 and 23 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (100–40 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>)) <xref ref-type="bibr" rid="bib1.bibx20" id="paren.45"/>. The tropical lower-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> anomaly is a good proxy of the tropical upwelling of the BDC as its concentration is modulated by the advection of tropospheric air generally poor in <inline-formula><mml:math id="M102" 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> into the stratosphere <xref ref-type="bibr" rid="bib1.bibx80 bib1.bibx1 bib1.bibx98 bib1.bibx106 bib1.bibx47" id="paren.46"/>. The small decrease in the tropical lower-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> anomalies by up to about 10 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> in 2020 compared to about 20 <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> in 2016 between the altitudes of 16 and 23 <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> suggests a stronger tropical upwelling and its modulations in 2016 than in 2020 (Fig. <xref ref-type="fig" rid="Ch1.F1"/>c, d).</p>
      <p id="d1e1711">The inter-annual variability in large-scale upward advection of the tropical stratospheric <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> anomalies (i.e. tape recorder) is more challenging to interpret because of its regulation by the variability in the tropical cold-point temperatures <xref ref-type="bibr" rid="bib1.bibx68 bib1.bibx44 bib1.bibx46 bib1.bibx78" id="paren.47"/>. The negative tropical lower-stratospheric <inline-formula><mml:math id="M108" 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 the interplay of different modes of natural climate variability, including the QBO, are weaker in 2020 than in 2016 (Figs. <xref ref-type="fig" rid="Ch1.F1"/>b, d and S2a, b in the Supplement). The tropical lower-stratospheric <inline-formula><mml:math id="M109" 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 averaged between the altitudes of 16 and 18 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> are up to about 20 <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> more negative in 2016 than in 2020 (Figs. <xref ref-type="fig" rid="Ch1.F1"/>b, d and S2a, b in the Supplement). In particular, the 2020 tape recorder shows positive <inline-formula><mml:math id="M112" 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 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> even after the QBO disruption event that are of opposite sign to the 2016 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> anomalies (Fig. <xref ref-type="fig" rid="Ch1.F1"/>b, d). This complexity in <inline-formula><mml:math id="M115" 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> inter-annual variability lies in its dependency on the interplay of different modes of climate variability, including the QBO <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx8 bib1.bibx101 bib1.bibx62" id="paren.48"/>, volcanic aerosols <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx8 bib1.bibx99 bib1.bibx59 bib1.bibx15" id="paren.49"/>, seasons (early or late in the winter), and location (western, central, or eastern Pacific, where the ENSO and IOD maximum occurs; <xref ref-type="bibr" rid="bib1.bibx32 bib1.bibx95" id="altparen.50"/>). Therefore, to elucidate the impact of the two QBO disruption events on the Brewer–Dobson circulation and the respective distributions of lower-stratospheric <inline-formula><mml:math id="M116" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M117" 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, we performed a regression analysis both without and with explicitly including QBO signals to isolate the QBO impact on these trace gases. The difference between the residual (<inline-formula><mml:math id="M118" 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 QBO signals provides the QBO-induced impact on stratospheric <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <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> anomalies. Also, the impact of 2020 Australian wildfire smoke on stratospheric <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> anomalies is analogously obtained by differencing the residuals of the regression model. This approach of differencing the residuals is similar to direct calculations, projecting the best fits of the regression onto the QBO basis functions, i.e. the QBO predictor time series (see Supplement Figs. 2 and 4 in <xref ref-type="bibr" rid="bib1.bibx19" id="altparen.51"/>). In addition, this differencing approach avoids the need to reconstruct the time series after the regression analysis.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Driver detection and attribution of the anomalous circulations</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Impact of QBO disruptions on UTLS composition</title>
      <p id="d1e1926">Figure <xref ref-type="fig" rid="Ch1.F2"/>a, b show time series of the QBO-induced inter-annual variability in tropical lower-stratospheric <inline-formula><mml:math id="M122" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <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> anomalies estimated from the difference between the residual (<inline-formula><mml:math id="M124" 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 proxy for the 2013–2020 period. A footprint of both QBO disruption events is clearly visible in lower-stratospheric <inline-formula><mml:math id="M125" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <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</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies, with a shift from positive anomalies related to the westerly winds (positive QBOi) to negative anomalies related to the easterly winds (negative QBOi). The impacts of the QBO disruption events on lower-stratospheric <inline-formula><mml:math id="M127" 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 clearly follow the monthly mean, zonal mean wind changes. The impacts of the QBO disruption event on lower-stratospheric <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 delayed by about 3–6 months compared to the zonal wind anomalies because of the <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> tropospheric origin as well as its dependency on the tropical cold-point temperature anomalies.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e2028">QBO impact on the tropical average of the stratospheric <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a)</bold> and
<inline-formula><mml:math id="M131" 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> anomalies from the MLS satellite observations for the 2013–2020
period in percent change relative to monthly mean mixing ratios as a function of time and
altitude. <bold>(c)</bold> QBO impact on the tropical average of the lower-stratospheric <inline-formula><mml:math id="M132" 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> (blue) and <inline-formula><mml:math id="M133" 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> (red) time series between the altitudes of 16 and 18 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. The 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="M135" 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 lower panel <bold>(d)</bold> below indicates
the QBO index at 50 <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> (21 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) in red.
The vertical grey dashed lines indicate February 2016 and January 2020 for the QBO disruption
onset and December 2016 and November 2020 for the QBO disruption offset.
The monthly averaged zonal mean zonal wind component, <inline-formula><mml:math id="M138" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M139" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), from the ERA5 reanalysis is overlaid as solid grey contours (westerly) and dashed grey contours (easterly).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/14303/2022/acp-22-14303-2022-f02.jpg"/>

        </fig>

      <p id="d1e2156">Besides the good agreement in the structure of both trace gas changes, there are clear differences in the strength and depth of both lower-stratospheric <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> and <inline-formula><mml:math id="M141" 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> responses to the QBO disruptions between the 2016 and 2020 events, particularly large for the <inline-formula><mml:math id="M142" 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. These differences in the impacts of the QBO disruption events are consistent with the observed lower-stratospheric <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> and <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> anomalies (Figs. <xref ref-type="fig" rid="Ch1.F1"/>, <xref ref-type="fig" rid="Ch1.F2"/>, and S2). During 2016, the QBO shift from westerlies to easterlies at an altitude of about 23 <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (40 <inline-formula><mml:math id="M146" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>) in the tropical lower stratosphere induces substantial negative <inline-formula><mml:math id="M147" 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="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> anomalies of up to about 20 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> between the altitudes of 16 and 23 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> from the early boreal summer to the next boreal winter for <inline-formula><mml:math id="M151" 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 from the early boreal spring to the next boreal winter for <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> (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). This decrease in <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> and <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> mixing ratios is consistent with upward transport of young and dehydrated air and is  poor in <inline-formula><mml:math id="M155" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the lower stratosphere between the altitudes of 16 and 23 <inline-formula><mml:math id="M156" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. As expected, the sudden occurrence of the QBO disruption events caused anomalously low cold-point temperatures and enhanced tropical upwelling in 2016 and 2020, consistent with the decrease in the <inline-formula><mml:math id="M157" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M158" 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 induced by the QBO easterly (Fig. <xref ref-type="fig" rid="Ch1.F2"/>). However, besides the similarities in the structural changes, the negative <inline-formula><mml:math id="M159" 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="M160" 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 induced by the QBO disruption are smaller and shallower in 2020 than in 2016. While differences between the 2016 and 2020 impacts of the QBO disruption events on <inline-formula><mml:math id="M161" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are small, the differences between the 2016 and 2020 <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> anomalies are particularly large due to other modes of natural variability (Fig. <xref ref-type="fig" rid="Ch1.F1"/>c, d and <xref ref-type="fig" rid="Ch1.F2"/>b, d).
The differences in the magnitudes of negative <inline-formula><mml:math id="M163" 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 suggest a weaker modulation of the anomalous tropical upwelling of the BDC by the secondary circulation in 2020 than in 2016, consistent with the differences in the strength and depth of the residual vertical velocity and wave forcing anomalies discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>. The differences in the strength and depth of the <inline-formula><mml:math id="M164" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> response to the QBO disruption events suggest that the tropical cold-point temperature is substantially different between year 2016 and year 2020. In addition, we note that the QBO westerly followed by the shift to the QBO easterly is not the main cause of the large increase in the 2020 lower-stratospheric <inline-formula><mml:math id="M165" 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 following, we assess the potential impact of the unusually strong Australian wildfire smoke on the lower-stratospheric <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> anomalies in 2020 through its impact on the stratospheric temperature anomaly <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx109 bib1.bibx74" id="paren.52"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2488">Impact of the QBO disruption on the zonal mean lower-stratospheric <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <bold>(a, b)</bold> and <inline-formula><mml:math id="M168" 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, d)</bold> anomalies from MLS satellite observations
averaged from July to December for 2016  <bold>(a, c)</bold> and from July to September
for 2020 <bold>(b, d)</bold>. In addition, the impact of the 2020 Australian wildfires on the zonal mean lower-stratospheric <inline-formula><mml:math id="M169" 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> is shown <bold>(e)</bold>. All panels show the percentage
change relative to 2005–2014 monthly mean mixing ratios as a function of latitude and altitude.
The impact of the QBO disruptions and the Australian wildfire on the stratospheric trace
gases is derived from the multiple regression fit as the difference between the residual
(<inline-formula><mml:math id="M170" 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 black dashed horizontal line indicates the tropopause from the ERA5 reanalysis.
The monthly averaged zonal mean zonal wind component, <inline-formula><mml:math id="M171" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), from the ERA5 reanalysis is overlaid as solid grey (westerly wind) and dashed grey (easterly wind) contours.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/14303/2022/acp-22-14303-2022-f03.jpg"/>

        </fig>

      <p id="d1e2584">Figures <xref ref-type="fig" rid="Ch1.F3"/>a–d show the impact of the QBO disruption events on the zonal mean lower-stratospheric <inline-formula><mml:math id="M173" 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="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> anomalies estimated from the difference between the residual (<inline-formula><mml:math id="M175" 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 2005–2020 time period. Figure <xref ref-type="fig" rid="Ch1.F3"/>e shows the impact of the 2020 Australian wildfire on lower-stratospheric <inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> anomalies estimated from the difference between the residual (<inline-formula><mml:math id="M177" 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 AOD signal for the 2005–2020 time period. The lower-stratospheric <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 are averaged from July to December for 2016 and from July to September for 2020, respectively. We chose different averaging periods for 2016 (July–December) and 2020 (July–August–September) to have a similar zonal mean structure of the <inline-formula><mml:math id="M179" 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="M180" 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> responses to QBO disruption events, although their depth and strength are different from each other.</p>
      <p id="d1e2685">In 2016, the shift to the QBO easterly phase in the tropics significantly dehydrates the global lower stratosphere by up to about 20 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> below the altitude of 18 <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (Figs. <xref ref-type="fig" rid="Ch1.F3"/>a and <xref ref-type="fig" rid="Ch1.F1"/>b) <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx103" id="paren.53"/>. This decrease in <inline-formula><mml:math id="M183" 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 is due to the enhanced tropical upwelling of the BDC, its modulation by the secondary circulation of the QBO, and the related decrease in tropical cold-point temperatures as discussed later in Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/> <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx49 bib1.bibx36 bib1.bibx33 bib1.bibx90" id="paren.54"/>. Because of the hemispheric asymmetry of the BDC (e.g. stronger in the winter hemisphere) driven by planetary wave activity <xref ref-type="bibr" rid="bib1.bibx44" id="paren.55"><named-content content-type="pre">e.g.</named-content></xref> and eddy mixing <xref ref-type="bibr" rid="bib1.bibx37" id="paren.56"><named-content content-type="pre">e.g.</named-content></xref>, the rising dehydrated air from the tropics moves toward the middle and high latitudes of both hemispheres. The positive <inline-formula><mml:math id="M184" 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 the altitude of 18 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> are related to the effect of the preceding QBO westerly phase on tropical UTLS temperatures and the upward-propagating tape-recorder signal. The negative <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> anomalies are consistent with the observed negative tropical <inline-formula><mml:math id="M187" 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 below the altitude of 20 <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> induced by the QBO easterly phase (Figs. <xref ref-type="fig" rid="Ch1.F3"/>a, c and S2a, c in the Supplement). These changes indicate an enhanced tropical upwelling of the BDC and its modulation by the QBO easterly phase in the lower stratosphere between the altitudes of 16 and 18 <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. The positive tropical <inline-formula><mml:math id="M190" 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 above the altitude of 20 <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> are associated with the QBO westerly phase (Figs. <xref ref-type="fig" rid="Ch1.F3"/>c and S2c in the Supplement). The large variabilities in extratropical <inline-formula><mml:math id="M192" 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 shown in Fig. <xref ref-type="fig" rid="Ch1.F3"/>c are related to the QBO influence on the extratropical circulation <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx16 bib1.bibx82" id="paren.57"/>, stratospheric major warmings, and chemical processes <xref ref-type="bibr" rid="bib1.bibx107" id="paren.58"/>.</p>
      <p id="d1e2846">In 2020, the impact of the QBO disruption event on the tropical 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> and <inline-formula><mml:math id="M194" 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 exhibits a similar structure to the effect of the QBO disruption event in 2016. Note that we use different averaging periods for 2016 (July to December) and 2020 (July to September) to highlight the structural similarities in the QBO impact. Both trace gases show negative anomalies in the tropics, corroborating the enhanced tropical upwelling of the BDC induced by the QBO shift from westerly winds to easterly winds in the tropics (Fig. <xref ref-type="fig" rid="Ch1.F3"/>b).
However, there are also differences in both the 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> and <inline-formula><mml:math id="M196" 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> responses to the shift from the tropical QBO westerly phase to the tropical QBO easterly phase between July and December 2016 and between July and September 2020. Note that the differences in the impacts of the QBO disruption events on <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> between the year 2016 and the year 2020 are particularly large, up to about 20 <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> (Figs. <xref ref-type="fig" rid="Ch1.F2"/>a, c and <xref ref-type="fig" rid="Ch1.F3"/>a, b). Conversely to the globally dehydrated lower stratosphere in 2016, the sudden development of tropical QBO easterly winds in 2020 led to a small decrease in lower-stratospheric <inline-formula><mml:math id="M199" 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 and therefore to small negative lower-stratospheric <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">H</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> anomalies up to about 2 <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–3 <inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> (Figs. <xref ref-type="fig" rid="Ch1.F2"/>c and <xref ref-type="fig" rid="Ch1.F3"/>b). Despite the similar zonal mean structures of <inline-formula><mml:math id="M203" 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 induced by both QBO disruption events within these different averaging periods for 2016 (July to December) and 2020 (July to September), the impacts of the QBO disruption events on the zonal mean <inline-formula><mml:math id="M204" 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 are weaker when averaged in the entire year of 2020 than in the year 2016 (Figs. <xref ref-type="fig" rid="Ch1.F3"/>c, d and S2c, d in the Supplement). The differences in the strength and depth between the 2016 and 2020 <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> and <inline-formula><mml:math id="M206" 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 and their modulation by the QBO disruption events clearly suggest substantial differences in the anomalous tropical upwelling of the BDC and the tropical cold-point temperatures discussed in Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>. The smaller negative tropical <inline-formula><mml:math id="M207" 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 suggest that the tropical upwelling of the BDC and its modulation by the QBO-induced secondary circulation are weaker in 2020 than in 2016 (Fig. <xref ref-type="fig" rid="Ch1.F3"/>c, d). Simultaneously, the positive tropical <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 in 2020 that are not related to the QBO disruption event indicate warmer tropical cold-point temperatures potentially induced by the unusually strong Australian wildfire smoke in the stratosphere <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx109 bib1.bibx74" id="paren.59"/>. The main dynamical causes of these differences are investigated in the following section.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Mechanisms driving the strength and depth differences</title>
      <p id="d1e3061">To further investigate and understand the key drivers of the anomalous circulation differences between the 2016 and 2020 impacts of the QBO disruption events, we analyse the differences in the tropical upwelling of the BDC and the secondary circulation induced by the QBO wind shear. Figure <xref ref-type="fig" rid="Ch1.F4"/>a–d show time series of the tropical residual circulation vertical velocity and temperature anomalies together with the impacts of the two QBO disruption events on <inline-formula><mml:math id="M209" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and temperature anomalies during year 2016 and year 2020, respectively. Also, Fig. <xref ref-type="fig" rid="Ch1.F5"/>a–h show latitude–altitude sections of the <inline-formula><mml:math id="M210" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and temperatures together with the associated impacts of the QBO disruption events during the year 2016 and year 2020 periods.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e3098">Tropical average of the deseasonalized mean residual vertical velocity (<inline-formula><mml:math id="M211" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>)
and temperature anomaly time series ERA5 reanalysis for the 2013–2020 period together with the impact of QBO disruptions on the tropical
mean <inline-formula><mml:math id="M212" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and temperature anomalies
derived from the multiple regression fit as a function of latitude and altitude.
<bold>(a)</bold> Deseasonalized monthly mean tropical upwelling.
<bold>(b)</bold> Disrupted QBO impact on monthly mean tropical upwelling anomalies.
<bold>(c)</bold> Deseasonalized monthly mean tropical temperature.
<bold>(d)</bold> Disrupted QBO impact on monthly mean tropical temperature anomalies.
The vertical grey dashed lines indicate February 2016 and January 2020 for the QBO disruption
onset and December 2016 and  November 2020 for the QBO disruption offset.
The lowermost panel <bold>(e)</bold> shows the QBO index at 50 <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> (21 <inline-formula><mml:math id="M214" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) in red.
The monthly averaged zonal mean zonal wind component, <inline-formula><mml:math id="M215" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M216" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), from the ERA5 reanalysis is overlaid as solid grey (westerly) and dashed grey (easterly) contours.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/14303/2022/acp-22-14303-2022-f04.jpg"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3193">Zonal mean residual vertical velocity (<inline-formula><mml:math id="M217" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>) <bold>(a, b)</bold>
and temperature anomalies <bold>(e, f)</bold> from the ERA5 reanalysis together with the impact of QBO
disruption events on <inline-formula><mml:math id="M218" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> <bold>(c, d)</bold> and
temperature anomalies <bold>(g, h)</bold> derived from the multiple regression
fit for the years 2016 <bold>(a, c, e, g)</bold> and 2020 <bold>(b, d, f, h)</bold>.
The anomalies are as a deviation from the 2005–2014 zonal mean <inline-formula><mml:math id="M219" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>
and temperature.
The black dashed horizontal line indicates the tropopause from the ERA5 reanalysis.
The monthly mean, zonal mean wind component, <inline-formula><mml:math id="M220" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), from the ERA5 reanalysis is overlaid as solid grey contours (westerly) and dashed grey contours (easterly).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/14303/2022/acp-22-14303-2022-f05.jpg"/>

        </fig>

      <p id="d1e3288"><?xmltex \hack{\newpage}?>Clearly, Figs. <xref ref-type="fig" rid="Ch1.F4"/> and <xref ref-type="fig" rid="Ch1.F5"/> show that there are substantial differences in the anomalous tropical upwelling of the BDC as disclosed by <inline-formula><mml:math id="M222" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and temperature anomalies during the two disruption events, consistent with the <inline-formula><mml:math id="M223" 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 (Fig. <xref ref-type="fig" rid="Ch1.F1"/>c, d). Also, the modulation of the tropical upwelling by the QBO disruption events exhibits differences smaller than the net anomalous circulation differences during the two periods, consistent with the impact of the QBO disruption events on <inline-formula><mml:math id="M224" 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 (Fig. <xref ref-type="fig" rid="Ch1.F2"/>b, c). In 2016, the tropical upwelling anomalies strongly increased, up to about 45 <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> below the altitude of about 18 <inline-formula><mml:math id="M226" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> from April to December when the QBO westerly phase shifts to the QBO easterly phase (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a). However, in 2020, the tropical upwelling anomalies are weaker and only reach up to about 20 <inline-formula><mml:math id="M227" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> below the altitude of about 18 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, leading to about 25 <inline-formula><mml:math id="M229" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> weaker <inline-formula><mml:math id="M230" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> anomalies in 2020 than in 2016 between the altitudes of about 17 and 20 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. At an altitude of about 17 <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> between the onsets and offsets, <inline-formula><mml:math id="M233" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> anomalies were up to about 10 <inline-formula><mml:math id="M234" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–15 <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> weaker in 2020 than in 2016 (Fig. <xref ref-type="fig" rid="Ch1.F4"/>a). In addition to the weaker tropical upwelling in 2020, the impact of the QBO disruption events on <inline-formula><mml:math id="M236" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> anomalies is consistent with the weaker QBO-induced secondary circulation in 2020 than in 2016, with up to about 25 <inline-formula><mml:math id="M237" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> weaker modulation of the tropical upwelling (Fig. <xref ref-type="fig" rid="Ch1.F4"/>b). This weaker tropical upwelling of the BDC and the QBO-induced secondary circulation in 2020 than in 2016 is also visible in the zonal mean cross section of the mean <inline-formula><mml:math id="M238" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and temperature anomalies (Fig. <xref ref-type="fig" rid="Ch1.F5"/>a, b, e, f) together with the impacts of the QBO disruption events on <inline-formula><mml:math id="M239" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and temperature anomalies for 2016 and 2020 (Fig. <xref ref-type="fig" rid="Ch1.F5"/>c, d, g, h). The increase in the tropical upwelling as well as the secondary circulation associated with the QBO easterly wind shear between the tropopause height and altitude of about 18 <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> is weaker and shallower in 2020 than in 2016 (Figs. <xref ref-type="fig" rid="Ch1.F4"/>b and <xref ref-type="fig" rid="Ch1.F5"/>c, d). The differences in the anomalous tropical upwelling and secondary circulation are also consistent with the differences in the temperature anomalies as well as in the impacts of the QBO disruption events on temperature anomalies (Figs. <xref ref-type="fig" rid="Ch1.F4"/>c, d and <xref ref-type="fig" rid="Ch1.F5"/>e–h). In 2016, the tropical temperature anomalies, in particular around the cold-point tropopause at about 17 <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, are strongly negative (Fig. <xref ref-type="fig" rid="Ch1.F4"/>c). This decrease in tropical temperatures is consistent with the strong tropical upwelling of the BDC and its modulation by the QBO-induced secondary circulation (Figs. <xref ref-type="fig" rid="Ch1.F4"/>b, d and <xref ref-type="fig" rid="Ch1.F5"/>a, c, e, g), which in turn led to large negative tropical lower stratosphere <inline-formula><mml:math id="M242" 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="M243" 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 2016.</p>
      <p id="d1e3556">Conversely, the tropical cold-point temperature anomalies are warmer and barely exceed <inline-formula><mml:math id="M244" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.1 <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula> in 2020, consistent with the smaller tropical <inline-formula><mml:math id="M246" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> anomalies (Figs. <xref ref-type="fig" rid="Ch1.F4"/> and <xref ref-type="fig" rid="Ch1.F5"/>b, d, f, h) and the shorter lifetimes of tropical <inline-formula><mml:math id="M247" 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, which last for only about 3 months (Figs. <xref ref-type="fig" rid="Ch1.F1"/> and <xref ref-type="fig" rid="Ch1.F2"/>). These warmer tropical cold-point temperature anomalies corroborate the weaker tropical upwelling of the BDC and smaller tropical 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> and <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> mixing ratios in the year 2020. Interestingly, the differences in the tropical cold-point temperature anomalies between the year 2016 and the year 2020 are more pronounced, as shown in Fig. <xref ref-type="fig" rid="Ch1.F5"/>e, f, than the differences in the impacts of the QBO disruption events on tropical cold-point temperature anomalies (Fig. <xref ref-type="fig" rid="Ch1.F5"/>g, h). This anomalously warmer stratosphere, including high cold-point temperatures in 2020, is consistent with recent findings about the impact of Australian wildfire smoke <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx109 bib1.bibx74" id="paren.60"/>. Therefore, we also pay attention to volcanic eruptions and Australian wildfire smoke in 2020, which can impact lower-stratospheric temperatures and therefore lower-stratospheric <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> and <inline-formula><mml:math id="M251" 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. Indeed, using our regression analyses, we can show that the Australian wildfire largely moistened the lower stratosphere between the altitudes of 16 and 25 <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> in 2020 by inducing an anomalously warmer stratosphere, thereby hiding the impact of the QBO disruption event in 2020 on <inline-formula><mml:math id="M253" 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 (Fig. <xref ref-type="fig" rid="Ch1.F3"/>e). The removal of Australian wildfire impacts allows us to better highlight the weak structure of the impact of the QBO disruption event in 2020 on lower-stratospheric <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 between the altitude of 16 <inline-formula><mml:math id="M255" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and 25 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, which is similar to the impact of the QBO disruption event in 2016. Regarding the differences in the upwelling of the BDC, in the following, we finally investigate the related wave drag changes.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e3719">January–June 2016 <bold>(a, c, e)</bold> and 2020 <bold>(b, d, f)</bold> deviations from
the January–June 1979–2014 average of monthly mean, zonal mean net wave forcing (NetF) <bold>(a, b)</bold>, planetary wave drag (PWD) <bold>(c, d)</bold>, and gravity wave drag (GWD) <bold>(e, f)</bold> from the ERA5 reanalysis (filled contours) together with the January–June 2016 and 2020 zonal mean zonal wind (green contour lines) as a function of latitude and altitude.
The black dashed horizontal line indicates the tropopause from the ERA5 reanalysis.
The January–June 2016 and 2020 monthly mean, zonal mean wind anomaly component, <inline-formula><mml:math id="M257" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), from the ERA5 reanalysis is overlaid as solid grey contours (westerly) and dashed grey contours (easterly).</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/14303/2022/acp-22-14303-2022-f06.jpg"/>

        </fig>

      <p id="d1e3768">To investigate the main causes of the BDC differences between the year 2016 and the year 2020 during the QBO disruption events, we calculate the planetary and gravity wave drag as well as the net wave forcing. We analyse the differences in terms of wave activities potentially induced by specific sea surface conditions, such as the unusually warm 2015–2016 El Niño and the 2019–2020 strong positive Indian Ocean Dipole, which impact tropical convective activities <xref ref-type="bibr" rid="bib1.bibx50" id="paren.61"/>. For additional details about the wave decomposition, please see <xref ref-type="bibr" rid="bib1.bibx22" id="text.62"/> and <xref ref-type="bibr" rid="bib1.bibx25" id="text.63"/>.</p>
      <p id="d1e3780">The BDC and its inter-annual variability are driven by the planetary and gravity wave breaking in different stratospheric regions <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx85 bib1.bibx69 bib1.bibx76 bib1.bibx93" id="paren.64"/>. Therefore, any changes in wave drag will lead to circulation and composition changes. Figure <xref ref-type="fig" rid="Ch1.F6"/>a–f show the January–June zonal mean of the deseasonalized monthly mean net wave forcing (NetF <inline-formula><mml:math id="M259" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> PWD <inline-formula><mml:math id="M260" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> GWD <inline-formula><mml:math id="M261" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> d<inline-formula><mml:math id="M262" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M263" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> d<inline-formula><mml:math id="M264" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>), PWD, and GWD from the ERA5 reanalysis for years 2016 and 2020, respectively. Note that the net wave forcing is equal to the contribution of the Coriolis force plus meridional advection plus vertical advection to the momentum balance <xref ref-type="bibr" rid="bib1.bibx26" id="paren.65"/>. Clearly, the net wave forcing anomalies as well as the planetary and gravity wave drag anomalies exhibit differences in strength and depth in the lower stratosphere between the 2016 and 2020 QBO disruption events. During the QBO disruption event in 2016, the net wave breaking is stronger and broader in the lower stratosphere between the tropopause and the altitude of about 23 <inline-formula><mml:math id="M265" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> than during the QBO disruption in 2020 (Figs. <xref ref-type="fig" rid="Ch1.F6"/>a, b and S3a). In particular, the wave breaking near the equatorward upper flanks of the subtropical jet (e.g. the region 30–10<inline-formula><mml:math id="M266" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S/10–30<inline-formula><mml:math id="M267" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and above the tropopause level), known as a major BDC forcing region, is weaker in 2020 than in 2016, and this region is narrower (e.g. more tropically confined) in 2020. These differences in net wave forcing are the main cause of a weaker advective BDC and its modulation by the QBO-induced secondary circulation in 2020 than in 2016, thereby contributing to the anomalous lower-stratospheric <inline-formula><mml:math id="M268" 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="M269" 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> differences in addition to the significant Australian wildfire effect on lower-stratospheric <inline-formula><mml:math id="M270" 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.</p>
      <p id="d1e3901">In addition, we show the contribution of planetary (Figs. <xref ref-type="fig" rid="Ch1.F6"/>c, d, and S3b) and gravity (Figs. <xref ref-type="fig" rid="Ch1.F6"/>e, f and S3c) wave drag to better understand the role of each forcing in the circulation anomaly differences during both QBO disruption events. Besides the good agreement in the structure of planetary and gravity wave breaking, our analyses also show differences in wave drag between the 2016 and 2020 QBO disruption events. The planetary and gravity wave anomalies indicate stronger anomalies in wave dissipation in the lower stratosphere near the equatorward upper flanks of the subtropical jet between the tropopause and the altitude of about 23 <inline-formula><mml:math id="M271" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> during the QBO disruption event in 2016 than during the QBO disruption event in 2020 (Figs. <xref ref-type="fig" rid="Ch1.F6"/>c–f and S3b, c in the Supplement). The anomalies in planetary wave dissipation associated with the QBO disruption event in 2016 are stronger and extend from the tropics toward the subtropical jet between the tropopause and the altitude of about 23 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, while for the QBO disruption event in 2020, these anomalies are smaller and are confined to the tropics. In addition to structural differences, the dissimilarities in the strength and depth of the anomalies are even larger in the gravity wave drag. During the QBO disruption event in 2016, gravity waves break in the entire lower stratosphere between  the tropopause and the altitude of about 23 <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, with a maximum occurring near the upper flank of the subtropical jet, a key region for strengthening the shallow branch of the BDC <xref ref-type="bibr" rid="bib1.bibx94 bib1.bibx21 bib1.bibx22" id="paren.66"/> (Fig. <xref ref-type="fig" rid="Ch1.F6"/>e, f). The differences in the strength and depth of planetary and gravity wave breaking are clearly the main cause of observed differences in the anomalous upwelling strength of the BDC between the year 2016 and the year 2020. This main cause is a combination of planetary wave dissipation in the tropics and particularly strong gravity wave breaking near the equatorward upper flanks of the subtropical jet during the QBO disruption event in 2016, as shown in previous studies <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx51 bib1.bibx73" id="paren.67"/>. In summary, the strong planetary waves and gravity wave forcing anomalies, which are likely related to ENSO and IOD, are responsible for differences in the anomalous circulation and its modulation by the QBO-induced secondary circulation and therefore the negative lower-stratospheric <inline-formula><mml:math id="M274" 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="M275" 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. Regardless of the net wave forcing in 2020, the Australian wildfire led to weaker dehydration in the lower-stratospheric dehydration due to the aerosol-induced warmer stratosphere.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e3969">Longitudinal variations of the monthly mean outgoing longwave radiation (OLR) anomalies <bold>(a)</bold> averaged between 20 and 20<inline-formula><mml:math id="M276" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S together with the 2016 and 2020 QBO effects <bold>(b)</bold> associated with the convective activity derived from the multiple regression fit. The lowermost panels <bold>(c, d)</bold> show the tropical region where the OLR time series are averaged.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://acp.copernicus.org/articles/22/14303/2022/acp-22-14303-2022-f07.png"/>

        </fig>

      <p id="d1e3996">Note that, during the QBO disruption events in 2016 and 2020, the surface conditions were different in terms of natural variability-induced convective activity. To trace back and link the potential source of convectively generated wave activities to regional differences, we finally analysed the monthly mean outgoing longwave radiation (OLR) (Figs. <xref ref-type="fig" rid="Ch1.F7"/> and S4 in the Supplement). Clearly, there are regional differences in the occurrence of strong convective events between the QBO disruption events in 2016 and 2020. During the QBO disruption event in 2016, the tropical mean OLR anomalies reveal two active convective regions, namely the eastern Indian Ocean associated with the negative IOD in 2016 and the central Pacific Ocean associated with the El Niño in the year 2016. However, during the QBO disruption event in 2020, the tropical mean OLR anomalies show only one strong active convective region, namely the western Indian Ocean and eastern Africa associated with the strong IOD in the year 2020, as the weak La Niña is associated with weak tropical convective activities. Both QBO disruption effects related to OLR variations are linked to strong convective activity in the Indo-Pacific Ocean, thereby suggesting the important role that this region may play in strong wave activities. This additional information related to the strength of convective activities in the Indian Ocean is of great interest for better understanding and relating the origin of the QBO disruption events and their strength based on regional forcings. This regional forcing and interplay of different modes of climate variability will be presented in further studies.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Summary and conclusions</title>
      <p id="d1e4011">Based on an established multiple regression method applied to Aura MLS observations, we found that both the  QBO disruption events in 2016 and 2020 induced similar structural changes in the Brewer–Dobson circulation and respective distributions of the lower-stratospheric <inline-formula><mml:math id="M277" 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="M278" 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. Both QBO disruption events induced negative anomalies in <inline-formula><mml:math id="M279" 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="M280" 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 few months after the sudden shift from the QBO westerly to QBO easterly winds. During the boreal winter of 2015–2016 (September 2015–March 2016), the alignment of the strong El Niño and negative IOD events with the QBO westerlies strongly moistened the lower stratosphere between the tropopause and the altitude of 23 <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> (positive anomalies of more than 20 <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>). Analogously, the alignment of the weak La Niña and strong positive IOD events with the strong QBO westerlies and the impact of Australian wildfire smoke strongly moistened the lower stratosphere (positive anomalies of more than 15 <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>) during the boreal winter of 2019–2020 (September 2019–June 2020). The sudden shift from the QBO westerly to QBO easterly winds reversed the lower-stratospheric moistening, thereby leading to large negative <inline-formula><mml:math id="M284" 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="M285" 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 of up to about 20 <inline-formula><mml:math id="M286" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> between 16 and 23 <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> by the end of summer 2016 and to small negative <inline-formula><mml:math id="M288" 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 about 2 <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>–3 <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> and moderate negative <inline-formula><mml:math id="M291" 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 of up to about 10 <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> in 2020. These decreases in <inline-formula><mml:math id="M293" 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="M294" 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 are due to a strengthening of the tropical upwelling of the BDC, cooling tropical cold-point temperatures and their modulations by the QBO disruption events.</p>
      <p id="d1e4201"><?xmltex \hack{\newpage}?>However, differences occur in the strength and depth of the QBO disruption-induced negative <inline-formula><mml:math id="M295" 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="M296" 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 the lower stratosphere between 2016 and 2020. We found that the impact of the QBO disruption event on lower-stratospheric trace gases is weaker in 2020 than in 2016, up to about 18 <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M298" 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 and 10 <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M300" 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 between 16 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and 23 <inline-formula><mml:math id="M302" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. The differences in the strength and depth of the <inline-formula><mml:math id="M303" 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 and its modulation by the QBO disruption events are due to discrepancies in the anomalous tropical upwelling of the BDC, which was up to about 25 <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> larger in 2016 than in 2020. The analysis of the wave drag shows that the differences in planetary wave breaking in the tropical lower stratosphere between the tropopause and the altitude of about 23 <inline-formula><mml:math id="M305" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> and the gravity wave breaking near the equatorward upper flanks of the subtropical jet (e.g. the region between 10 and 30<inline-formula><mml:math id="M306" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S/N and above the tropopause level) are the main reasons for the differences in the anomalous tropical upwelling of the BDC and secondary circulation between the year 2016 and the year 2020.
The main differences in lower-stratospheric <inline-formula><mml:math id="M307" 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 between the year 2016 and the year 2020 are due to discrepancies in the tropical cold-point temperatures induced by the 2020 Australian wildfire smoke. Despite the anomalous planetary waves and gravity wave activities, which are likely related to ENSO and IOD, the 2020 Australian wildfire predominantly raised the cold-point temperatures, thereby leading to less dehydration of the lower stratosphere.</p>
      <p id="d1e4336">Finally, our results suggest that the interplay of QBO phases with a combination of ENSO and IOD events, and in particular also wildfires and volcanic eruptions, will be crucial for the control of the lower-stratospheric <inline-formula><mml:math id="M308" 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="M309" 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> budget in a changing future climate.
In particular, increasing future warming will lead to trends in ENSO <xref ref-type="bibr" rid="bib1.bibx102 bib1.bibx11" id="paren.68"/> and IOD <xref ref-type="bibr" rid="bib1.bibx48" id="paren.69"/> as projected by climate models, and a related potential increase in wildfire frequency combined with a decreasing lower-stratospheric QBO amplitude <xref ref-type="bibr" rid="bib1.bibx53" id="paren.70"/> is expected in future climate projections. The interplay will change with strong El Niño/negative IOD and La Niña/strong positive IOD likely controlling the lower-stratospheric trace gas distributions and variability more strongly in a future changing climate. Clearly, both ENSO and IOD impact the tropopause height and tropical cold-point temperatures. Further analysis is needed using climate model sensitivity simulations to pinpoint the impact of these future changes in lower-stratospheric trace gases and the related radiative feedback.</p>
</sec>

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

      <p id="d1e4376">MLS  water vapour  and  ozone  data  were  obtained  from  the  Goddard  Earth  Sciences  Data  and  Information  Services Center at <ext-link xlink:href="https://doi.org/10.5067/Aura/MLS/DATA2508" ext-link-type="DOI">10.5067/Aura/MLS/DATA2508</ext-link> <xref ref-type="bibr" rid="bib1.bibx61" id="paren.71"/> and <ext-link xlink:href="https://doi.org/10.5067/Aura/MLS/DATA2516" ext-link-type="DOI">10.5067/Aura/MLS/DATA2516</ext-link> <xref ref-type="bibr" rid="bib1.bibx92" id="paren.72"/>, respectively. The aerosol optical depth data are available through Khaykin et al. (2020). The ERA5 reanalysis is available at <uri>https://apps.ecmwf.int/data-catalogues/era5/?class=ea</uri>, last access: 2 September 2022, through Hersbach et al. (2020).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e4394">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-22-14303-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-22-14303-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e4403">MAD designed  the  study, conducted  research, performed the calculation and the complete analysis of the impact of the QBO disruptions, and drafted the first manuscript. ME calculated the wave decomposition. FP, MIH, ME, JUG, SK, and MR provided helpful discussions and comments. MAD edited the final draft, with contributions from all the co-authors for communication with the journal.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e4409">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e4415">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e4421">Mohamadou Diallo's research position is funded by the Deutsche Forschungsgemeinschaft (DFG), individual research grant number DI2618/1-1, and the Institute of Energy and Climate Research, Stratosphere (IEK-7), Forschungszentrum Jülich, for which this work has been carried out. Felix Ploeger is funded by the Helmholtz Association under grant number VH-NG-1128 (Helmholtz Young Investigators Group A-SPECi). Manfred Ern was supported by German Federal Ministry of Education and Research (Bundesministerium für Bildung und Forschung, BMBF) project QUBICC, grant number 01LG1905C, as part of the Role of the Middle Atmosphere in Climate II (ROMIC-II) programme of BMBF. We are grateful to the Earth System Modelling Project (ESM) for funding this work by providing computing time on the ESM partition of the JUWELS supercomputer at the Jülich Supercomputing Centre (JSC). Moreover, we particularly thank the European Centre for Medium-Range Weather Forecasts for providing the ERA5 and ERA-Interim reanalysis data. Finally, our thanks go to the editor and three anonymous reviewers. The article processing charges for this open-access publication were covered by a Research Centre of the Helmholtz Association.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e4426">This research has been supported by the Deutsche Forschungsgemeinschaft (grant no. DI2618/1-1). <?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>The article processing charges for this open-access <?xmltex \notforhtml{\newline}?>publication were covered by the Forschungszentrum Jülich.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e4437">This paper was edited by Suvarna Fadnavis and reviewed by three anonymous referees.</p>
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