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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-25-3623-2025</article-id><title-group><article-title>Modulation of the northern polar vortex by the Hunga Tonga–Hunga Ha'apai eruption and the associated surface response</article-title><alt-title>Modulation of the northern polar vortex by Hunga Tonga</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Kuchar</surname><given-names>Ales</given-names></name>
          <email>ales.kuchar@boku.ac.at</email>
        <ext-link>https://orcid.org/0000-0002-3672-6626</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Sukhodolov</surname><given-names>Timofei</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7100-738X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3 aff4">
          <name><surname>Chiodo</surname><given-names>Gabriel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8079-6314</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff3">
          <name><surname>Jörimann</surname><given-names>Andrin</given-names></name>
          
        <ext-link>https://orcid.org/0009-0000-2113-4532</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kult-Herdin</surname><given-names>Jessica</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4874-8176</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff5">
          <name><surname>Rozanov</surname><given-names>Eugene</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0479-4488</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rieder</surname><given-names>Harald H.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Meteorology and Climatology, BOKU University, Vienna, Austria</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Physikalisch-Meteorologisches Observatorium Davos/World Radiation Center (PMOD/WRC), Davos, Switzerland</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute for Atmospheric and Climate Science, ETH Zurich, Zurich, Switzerland</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Instituto de Geociencias (IGEO), CSIC-UCM, Madrid, Spain</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Ozone Layer and Upper Atmosphere Research Laboratory, Saint Petersburg State University, Saint Petersburg, Russian Federation</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Ales Kuchar (ales.kuchar@boku.ac.at)</corresp></author-notes><pub-date><day>27</day><month>March</month><year>2025</year></pub-date>
      
      <volume>25</volume>
      <issue>6</issue>
      <fpage>3623</fpage><lpage>3634</lpage>
      <history>
        <date date-type="received"><day>21</day><month>June</month><year>2024</year></date>
           <date date-type="rev-request"><day>26</day><month>August</month><year>2024</year></date>
           <date date-type="rev-recd"><day>22</day><month>November</month><year>2024</year></date>
           <date date-type="accepted"><day>16</day><month>January</month><year>2025</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2025 Ales Kuchar et al.</copyright-statement>
        <copyright-year>2025</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/25/3623/2025/acp-25-3623-2025.html">This article is available from https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e169">The January 2022 Hunga Tonga–Hunga Ha’apai (HT) eruption injected sulfur dioxide and unprecedented amounts of water vapour (WV) into the stratosphere. Given the manifold impacts of previous volcanic eruptions, the full implications of these emissions are a topic of active research. This study explores the dynamical implications of the perturbed upper-atmospheric composition using an ensemble simulation with the Earth system model SOCOLv4. The simulations replicate the observed anomalies in the stratospheric and lower-mesospheric chemical composition and reveal a novel pathway linking water-rich volcanic eruptions to surface climate anomalies. We show that in early 2023 the excess WV caused significant negative anomalies in tropical upper-stratospheric and mesospheric ozone and temperature, forcing an atmospheric circulation response that particularly affected the Northern Hemisphere polar vortex (PV). The decreased temperature gradient leads to a weakening of the PV, which propagates downward similarly to sudden stratospheric warmings (SSWs) and drives surface anomalies via stratosphere–troposphere coupling. These results underscore the potential of HT to create favorable conditions for SSWs in subsequent winters as long as the near-stratopause cooling effect of excess WV persists. Our findings highlight the complex interactions between volcanic activity and climate dynamics and offer crucial insights for future climate modelling and attribution.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung</funding-source>
<award-id>200020E_219166</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Ministerio de Ciencia e Innovación</funding-source>
<award-id>RYC2021-45033422-I</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e181">The 15 January 2022 eruption of the Hunga Tonga–Hunga Ha’apai (HT) volcano was a unique and unprecedented event in the observational era. It released massive amounts of water vapour (WV), far exceeding previous records, and modest amounts of sulfur dioxide (SO<sub>2</sub>) into the stratosphere. This eruption injected between 140 and 150 Tg of WV and 0.4 Tg of SO<sub>2</sub> into the stratosphere, reaching mesosphere levels <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx10 bib1.bibx63 bib1.bibx47" id="paren.1"/>. The immediate and subsequent effects of the aerosol and WV plumes have been causing significant anomalies in atmospheric circulation, composition, and temperature <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx64 bib1.bibx62" id="paren.2"/>.</p>
      <p id="d2e208">The radiative impacts of volcanic eruptions, particularly those associated with sulfate aerosols emerging following the SO<sub>2</sub> emissions, are well-known and have been widely studied <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx36" id="paren.3"/>. The modulation of dynamical processes by volcanic eruptions and the potential surface impacts, however, are incompletely understood. Typically, volcanic eruptions cause lower-stratospheric warming, which strengthens the polar vortex (PV) and may cause changes in stratosphere–troposphere coupling, resulting in surface warming over Eurasia and altered weather patterns across the Northern Hemisphere (NH) <xref ref-type="bibr" rid="bib1.bibx52" id="paren.4"/>, although this connection has been questioned recently <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx11" id="paren.5"/>. However, in the case of the HT eruption, this pronounced and canonical tropical lower-stratospheric warming has not been observed, and its absence is most likely attributable to lower emissions of SO<sub>2</sub>.</p>
      <p id="d2e238">Instead, the HT eruption has led to significant anomalies in the stratospheric and lower-mesospheric ozone and temperature that affected the atmospheric circulation, particularly in the Southern Hemisphere <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx58 bib1.bibx64 bib1.bibx65" id="paren.6"><named-content content-type="pre">SH;</named-content></xref>. The increased OH concentrations induced by the excess WV from the HT eruption led to ozone depletion and temperature anomalies in the upper stratosphere and lower mesosphere <xref ref-type="bibr" rid="bib1.bibx50 bib1.bibx17" id="paren.7"/>.</p>
      <p id="d2e249">The excess WV due to the HT eruption exerts a forcing around the tropical stratopause. Studies on the influence of solar variability <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx35 bib1.bibx40" id="paren.8"/> suggest that such forcing at the stratopause level can also act as a significant modulator of atmospheric dynamics. This raises two main questions: (1) Do similar modulation effects emerge for the HT eruption? (2) If so, do changes in the tropospheric circulation emerge in response to the increase in WV, similarly to those emerging from uniformly doubling WV in the lower stratosphere <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx38" id="paren.9"/>?</p>
      <p id="d2e259">This study explores a novel pathway by which the HT eruption may have modulated stratospheric and mesospheric conditions and consequently impacted the surface climate. Here we use a set of ensemble sensitivity simulations performed with the Earth system model (ESM) SOCOLv4 with and without the HT forcing to analyse the effects of the HT eruption, validate these simulations with observational data for H<sub>2</sub>O and aerosol, and discuss other variables using available studies (see Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS1"/> in the Appendix). We then assess the statistical significance of the detected effects and examine the mechanisms by which the HT eruption could influence the stratospheric PV in 2023 or 2024, creating more favorable conditions for the onset of sudden stratospheric warming (SSW). Both winter seasons have been accompanied by record amounts of Rossby waves propagating upward from the troposphere <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx44" id="paren.10"/>. Finally, we conclude with a summary of the results, a discussion of the general forcing mechanism in the following winters when the HT forcing would persist, and an outlook of how these dynamically induced events could be explored further.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Results</title>
      <p id="d2e284">We set the scene by illustrating the evolution of the monthly and zonal-mean structures of water vapour, ozone, OH, and temperature for the extended winter of 2022/2023 in Fig. <xref ref-type="fig" rid="Ch1.F1"/>. About 10 months after the eruption, the WV inputs of HT were distributed across the middle and upper stratosphere and the mesosphere. In December 2022, the WV plume (panel a) was mostly localized around 20 hPa and 45° S but already started to disperse into the NH and beyond the stratopause. This distributed HT WV anomaly affects ozone globally, as evidenced by the negative anomalies in the lower mesosphere and positive anomalies in the middle stratosphere (panel f). The positive O<sub>3</sub> anomaly can be attributed to increased conversion of NO<sub><italic>x</italic></sub> into the HNO<sub>3</sub> reservoir (see Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F8"/>) due to the higher abundance of OH <xref ref-type="bibr" rid="bib1.bibx17" id="paren.11"/> as shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/> and hydrolysis of N<sub>2</sub>O<sub>5</sub> on aerosol surfaces <xref ref-type="bibr" rid="bib1.bibx31" id="paren.12"/>. Under elevated aerosol loading (see Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F5"/>), the heterogeneous reactions serve as a significant source of chlorine activation and ozone loss in the lower stratosphere, which may include reaction of HCl with HOBr <xref ref-type="bibr" rid="bib1.bibx66 bib1.bibx15" id="paren.13"/>, with HOBr being the product of BrONO<sub>2</sub> hydrolysis (see Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F9"/>). In the lower mesosphere, the negative ozone anomaly is a direct consequence of the chemical pathway initiated by the excess OH. Note that the significant OH anomalies, similar to those of O<sub>3</sub> and H<sub>2</sub>O, at that time do not reach the northern polar cap. Radiatively induced anomalies in temperature emerge in our simulations around and above the stratopause, mainly as a consequence of the reduced absorption of ultraviolet radiation by ozone <xref ref-type="bibr" rid="bib1.bibx6" id="paren.14"><named-content content-type="pre">see Fig. 4.24 in</named-content></xref> as also reported by recent modelling studies <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx48" id="paren.15"/>.</p>
      <p id="d2e389">The negative mesospheric temperature anomaly emerges at the beginning of the boreal winter and extends up to 20° N (see Fig. <xref ref-type="fig" rid="Ch1.F1"/>p–t). We discuss further below the subsequent temporal evolution and propagation towards high latitudes. To illustrate the latitudinal variations, anomalies, and impacts in detail, we plot in Fig. <xref ref-type="fig" rid="Ch1.F2"/> the evolution of daily temperature profiles during the months January to May in 2023 for northern equatorial latitudes (0–20° N; a) and the northern polar cap (60–90° N; b). Here it becomes obvious that the negative mesospheric temperature anomaly persisted at lower latitudes through the whole winter of 2022/2023 (see Fig. <xref ref-type="fig" rid="Ch1.F2"/>a). This is in agreement with the observational estimates from satellites <xref ref-type="bibr" rid="bib1.bibx17" id="paren.16"/> and GPS radio occultation <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx53" id="paren.17"/>. In contrast, at higher latitudes, no significant persistent mesospheric temperature anomaly is found (see Fig. <xref ref-type="fig" rid="Ch1.F2"/>b). This difference between the low and high latitudes results in a reduced meridional temperature gradient in the upper stratosphere and the lower mesosphere, which via the thermal wind relation weakens the polar-night jet.</p>

      <fig id="Ch1.F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e409">Monthly zonal-mean structure of the water vapour volume mixing ratio (VMR; first row of panels <bold>a–e</bold>; ppmv), ozone (second row of panels <bold>f–j</bold>; %), OH (third row of panels <bold>k–o</bold>; %), and temperature (fourth row of panels <bold>p–t</bold>; K) anomalies, respectively, for the extended boreal winter of 2022/2023. Anomalies are expressed as the difference between the SOCOLv4 simulations with and without the HT forcing. The 2<inline-formula><mml:math id="M14" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> statistical significance from the <inline-formula><mml:math id="M15" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test is indicated by the dots. The 1<inline-formula><mml:math id="M16" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> false detection rate (FDR) correction (see Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/>) is indicated by the black solid contour lines. The tropopause pressure level is indicated by the black dashed line.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025-f01.png"/>

      </fig>

      <p id="d2e455">As a consequence, the weakened winds allow more planetary waves (PWs) to propagate upward into the stratosphere <xref ref-type="bibr" rid="bib1.bibx9" id="paren.18"/>, where they break and dissipate and thereby further weaken the already disturbed stratospheric PV. The slowdown of the winds and the associated increase in polar temperature (see Fig. <xref ref-type="fig" rid="Ch1.F2"/>b) emerges in our simulations as early as February but is fully evident in March 2023. The stratospheric polar warming connected with the enhanced Brewer–Dobson circulation is directly coupled to the cooling aloft and the associated weaker meridional circulation. Furthermore, along with the temperature change, we detected (subsequently) increasing concentrations of ozone over the polar cap in March and April <xref ref-type="bibr" rid="bib1.bibx17" id="paren.19"><named-content content-type="pre">see Figs. <xref ref-type="fig" rid="Ch1.F1"/>i–j or 13 in</named-content></xref>. The temperature structure across the upper atmosphere displayed in Fig. <xref ref-type="fig" rid="Ch1.F2"/> resembles the transition from a more positive phase to a more negative phase of the Northern Annular Mode (NAM; see Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS3"/>) in the stratosphere and lower mesosphere, respectively. Figure <xref ref-type="fig" rid="Ch1.F2"/>c illustrates how the HT forcing projects onto NAM (shading). Along with NAM we provide the eddy heat flux (EHF; green line) at 100 hPa as a proxy for upward propagation of planetary waves <xref ref-type="bibr" rid="bib1.bibx43" id="paren.20"><named-content content-type="pre">e.g.</named-content></xref>. The downward phase propagation of negative NAM anomalies illustrates the role of wave–mean flow interactions <xref ref-type="bibr" rid="bib1.bibx2" id="paren.21"/>, as also indicated by Eliassen–Palm flux diagnostics (see Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F10"/>). Since the EHF response lags slightly behind NAM, the triggering mechanism appears to be similar to SSWs and how dynamically forced anomalies in the upper stratosphere and lower mesosphere may be communicated downward and thus control PWs <xref ref-type="bibr" rid="bib1.bibx23" id="paren.22"/>.</p>

      <fig id="Ch1.F2"><label>Figure 2</label><caption><p id="d2e492">Weighted zonally averaged temperature averaged over 0–20° N <bold>(a)</bold> and 60–90° N <bold>(b)</bold> together with the Northern Annular Mode (NAM; shading in panel <bold>c</bold>) and eddy heat flux at 100 hPa averaged over 45–75° N (EHF in <inline-formula><mml:math id="M17" display="inline"><mml:mrow><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:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>; green line in <bold>c</bold>) daily anomalies for the months January to April in 2023. The anomalies are expressed as the differences between the SOCOLv4 simulations with and without HT forcing. The 2<inline-formula><mml:math id="M18" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> statistical significance from a <inline-formula><mml:math id="M19" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test is indicated by the dots. The 1<inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> FDR correction (see Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/>) is indicated by the black solid contour lines. To highlight the signal propagation, we mask out insignificant NAM values at 1<inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025-f02.png"/>

      </fig>

      <p id="d2e564">Turning the focus to the lower levels, it becomes apparent that negative NAM anomalies emerge close to the surface (<inline-formula><mml:math id="M22" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1000 <inline-formula><mml:math id="M23" display="inline"><mml:mi mathvariant="normal">hPa</mml:mi></mml:math></inline-formula>) in April and follow the significant negative NAM anomalies in the stratosphere in the preceding months. This time lag suggests that stratospheric anomalies are triggering some of the changes observed in the troposphere <xref ref-type="bibr" rid="bib1.bibx55" id="paren.23"/>. Geopotential height anomalies (see Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F11"/>) again support a downward propagation of the signal from the stratosphere all the way to the surface. To explore these conditions further, we turn the focus to the analysis of the monthly sea level pressure (SLP; hPa) anomaly in April 2023, which is shown in Fig. <xref ref-type="fig" rid="Ch1.F3"/>. Here we identify a positive SLP anomaly at the poles and a negative SLP anomaly at the mid-latitudes. This pattern is characteristic of a weaker stratospheric PV and is associated with an equatorward shift of the tropospheric jet stream. The canonical temperature pattern with a pronounced cold anomaly in northern Europe (see Fig. <xref ref-type="fig" rid="Ch1.F3"/>b) clearly arises for this weak vortex event <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx32" id="paren.24"/>. Generally, the coupling is independent of the forcing mechanism causing these changes in PV and is present across all the timescales <xref ref-type="bibr" rid="bib1.bibx30" id="paren.25"/>.</p>

      <fig id="Ch1.F3"><label>Figure 3</label><caption><p id="d2e599">Monthly anomaly of sea level pressure (<bold>a</bold>; SLP; hPa) and surface air temperature (<bold>b</bold>; K) in April 2023. Anomalies are expressed as the differences between the SOCOLv4 simulation with and without the HT forcing. The 2<inline-formula><mml:math id="M24" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> statistical significance from the <inline-formula><mml:math id="M25" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test is indicated by the dots. The 1<inline-formula><mml:math id="M26" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> FDR correction (see Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/>) is indicated by the black solid contour lines.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025-f03.png"/>

      </fig>


</sec>
<sec id="Ch1.S3" sec-type="conclusions">
  <label>3</label><title>Discussion and summary</title>
      <p id="d2e648">The January 2022 Hunga Tonga–Hunga Ha'apai volcanic eruption significantly modified  the radiative balance, photochemistry, and dynamics of the stratosphere and lower mesosphere, as has been extensively documented <xref ref-type="bibr" rid="bib1.bibx10 bib1.bibx51 bib1.bibx24 bib1.bibx50" id="paren.26"/>. Here we add to the discussion of HT effects by illustrating for the first time the dynamical stratosphere–troposphere–surface coupling in the NH following the eruption. We show in a series of ESM sensitivity simulations how the WV input propagated upward and poleward, thereby impacted the stratospheric PV, and contributed to the emergence of SSW in the boreal winter of 2022/2023 and subsequent surface SLP anomalies. Similarly, the HT eruption induced a marked warming anomaly in the Arctic region, with temperatures rising by up to 2 K near the North Pole in early 2022 <xref ref-type="bibr" rid="bib1.bibx4" id="paren.27"/>.</p>
      <p id="d2e657">Our results thereby illustrate how anomalies in OH, nitrogen species, and O<sub>3</sub>, induced in the stratosphere and lower mesosphere due to excess WV after the HT eruption, influence upper-atmospheric dynamics via alteration of temperature gradients and thereby lead to the emergence of a negative NAM anomaly at upper levels during the winter–spring transition that manifests by April 2023 in SLP. We begin our attribution in the upper stratosphere and lower mesosphere, where increased OH concentrations induce a negative ozone anomaly. As a consequence, our set of sensitivity simulations illustrates a radiatively induced negative temperature response in equatorial latitudes up to 20° N, which leads to a reduced horizontal hemispheric temperature gradient. This alteration of the temperature gradient is associated with weaker winds via the thermal wind relation. As weaker winds emerge in the stratosphere (negative NAM anomaly), we find that the anomaly propagates downward with time, illustrating the role of wave–mean flow interactions, similarly to during SSWs. This mechanism provides a summary of a chain of processes which could have contributed to the observed SSW during the winter of 2022/2023. We note that the causal link in observations cannot be entirely established on the one hand due to internal stratospheric variability driving  SSWs <xref ref-type="bibr" rid="bib1.bibx3" id="paren.28"/> and on the other hand the free-running ocean setup of our simulations. However, all other things being equal, our results clearly show that HT has provided favorable conditions for the emergence of late-winter NH SSWs in 2023.</p>
      <p id="d2e672">Two major SSWs were detected during the extended winter of 2023/2024 (see Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F12"/>).  Our model-projected forcing during that winter was weaker due to a quicker WV dissipation from the stratosphere (see Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F7"/>). Thus, we do not detect any significant dynamical responses. While <xref ref-type="bibr" rid="bib1.bibx48" id="text.29"/> observed strong (<inline-formula><mml:math id="M28" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M29" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 K) lower-mesospheric cooling after mid-2023, the mechanism suggested and simulated by SOCOLv4 above should be valid for the winter of 2024 and the following winters if the lower-mesospheric cooling is persistent and strong enough due to the excess WV. This mechanism establishes a novel pathway by which water-rich volcanic eruptions can indirectly impact the surface climate via downward propagation of the dynamical perturbation from the stratosphere and lower mesosphere. Thereby it adds to the manifestations of stratosphere–troposphere coupling on various timescales.</p>
      <p id="d2e696">Future work should vet the proposed mechanism, ideally within multimodel intercomparison projects <xref ref-type="bibr" rid="bib1.bibx68" id="paren.30"/>,  and explore  whether the HT forcing also contributed to the disruption of the stratospheric PV during the following winters. Given the interhemispheric extent of cooling in the upper stratosphere and lower mesosphere, which could similarly affect the persistence of PV in the SH, future studies could explore the PV response in the SH and its coupling with the troposphere. Furthermore, the stratospheric response could be impacted by the phase of the Quasi‐Biennial Oscillation, as recently suggested by <xref ref-type="bibr" rid="bib1.bibx28" id="text.31"/>.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Methods</title>
<sec id="App1.Ch1.S1.SS1">
  <label>A1</label><title>SOCOLv4 simulations</title>
      <p id="d2e723">We use a set of ensemble sensitivity simulations performed with the Earth system model SOCOLv4 <xref ref-type="bibr" rid="bib1.bibx54" id="paren.32"/>, which comprises comprehensive stratospheric chemistry and sulfate aerosol microphysics, to assess the impacts of the HT eruption on stratospheric composition and dynamics. SOCOLv4 is used at a T63 horizontal resolution (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.9</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula>) and a vertical resolution of 47 vertical levels (up to <inline-formula><mml:math id="M31" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.01 hPa), with the boundary conditions following the recommendations of the Coupled Model Intercomparison Project Phase 6 <xref ref-type="bibr" rid="bib1.bibx16" id="paren.33"><named-content content-type="pre">CMIP6;</named-content></xref>. The Quasi‐Biennial Oscillation (QBO) is not self-generated with the employed vertical resolution, and therefore it is nudged in the model. Since the simulations expand into the future, instead of the actual QBO observational data, we used the same data but shifted back by 16 years, allowing us to keep a QBO phase during the eruption that is consistent with observations. The SOCOLv4 model is widely used for process analyses in stratospheric research and has contributed to the recent Chemistry-Climate Model Initiative <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx18" id="paren.34"><named-content content-type="pre">CCMI;</named-content></xref> and the Interactive Stratospheric Aerosol Model Intercomparison <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx8" id="paren.35"><named-content content-type="pre">ISA-MIP:</named-content></xref>.</p>
      <p id="d2e768">Our set of simulations comprises an ensemble of transient simulations with and without HT forcing. We perform a 5-year spinup prior to the HT eruption, so that by the date of the event each ensemble member has a different ocean state contributing to the internal variability in the ensemble. In January 2022 we then branch out to two ensembles, one with and one without the HT forcing. Both ensembles comprise 10 ensemble members. Note that the WV freezing around the emission region (22–14° S, 182–186° E; 25–30 km within 15 January) was turned off for several days to avoid artifacts and mimic the estimated magnitude (<inline-formula><mml:math id="M32" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 150 Tg) of the WV forcing by <xref ref-type="bibr" rid="bib1.bibx39" id="text.36"/> and M2-SCREAM <xref ref-type="bibr" rid="bib1.bibx59" id="paren.37"><named-content content-type="pre">see Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F4"/>a;</named-content></xref>. Another way of avoiding freezing artifacts would be to broaden the emission region vertically. The M2-SCREAM WV anomaly is within the ensemble spread; however, this spread is quite wide, suggesting that the WV plume evolution could have been strongly modulated by the background dynamical conditions. In addition, the modelled WV anomaly shows a more pronounced seasonal cycle.</p>

      <fig id="App1.Ch1.S1.F4" specific-use="star"><label>Figure A1</label><caption><p id="d2e790"><bold>(a)</bold> Globally averaged daily anomaly of integrated stratospheric water vapour during January 2022 for the free-running (black line) SOCOLv4 simulations and M2-SCREAM (green line) with respect to 14 January  2022. <bold>(b)</bold> Monthly anomaly of integrated stratospheric water vapour for the free-running SOCOLv4 simulations (black line) for the period 2023–2025 and the corresponding fitted decay (red line) with an <inline-formula><mml:math id="M33" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-folding time <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> of 2.52 years. The horizontal dotted line represents the magnitude after the HT eruption estimated by <xref ref-type="bibr" rid="bib1.bibx39" id="text.38"/>.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025-f04.png"/>

        </fig>

      <p id="d2e822">According to the fitted decay, we project the stratospheric WV burden to represent an enhanced forcing over the next few years and only return to pre-HT background values by 2031. The excess stratospheric WV returns to the troposphere by sedimentation of PSCs within the SH PV and is transported to the higher latitudes of both hemispheres via the Brewer–Dobson circulation (BDC). The combination of these processes leads to an exponential decay of the WV burden with an estimated <inline-formula><mml:math id="M35" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-folding time of <inline-formula><mml:math id="M36" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2.5 years based on the fitted period of 2023–2025 (see Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F4"/>b). Our decay estimate is in agreement with <xref ref-type="bibr" rid="bib1.bibx17" id="text.39"/>, who used a free-running 2D model, but it is about half of the estimate provided by <xref ref-type="bibr" rid="bib1.bibx67" id="text.40"/>, who estimated an <inline-formula><mml:math id="M37" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-folding timescale of 4 years using a chemical transport model with the perpetual ERA5 meteorology.</p>
      <p id="d2e855">Furthermore, we use data from SWOOSH for the daily H<sub>2</sub>O <xref ref-type="bibr" rid="bib1.bibx12" id="paren.41"/> and from GloSSAC for the monthly mean surface area density <xref ref-type="bibr" rid="bib1.bibx42" id="paren.42"><named-content content-type="pre">SAD;</named-content></xref> to validate the SOCOLv4 anomalies (see Figs. <xref ref-type="fig" rid="App1.Ch1.S1.F5"/> and <xref ref-type="fig" rid="App1.Ch1.S1.F6"/>). Note that we retrieve SAD fields using aerosol extinction coefficients on all four GloSSAC wavelengths according to the REMAP method (Jörimann, 2025). The SAD background in GloSSAC is a bit higher at higher latitudes compared to SOCOLv4 since for GloSSAC we used the 1999–2004 climatology representative of volcanically quiescent conditions, while for SOCOLv4 we used the difference between experiments with and without HT. The aerosol plume evolves in a similar spatiotemporal manner, i.e. towards the SH and lower pressure levels. The WV plume extends horizontally, firstly towards the SH PV and then across the Equator according to the climatology of the residual circulation. During the boreal winter of 2023, the WV anomaly is spread across all latitudes from the middle stratosphere upward in both SWOOSH and SOCOLv4. The reduction in water in SOCOLv4 starts to be apparent at the end of 2023, in contrast to SWOOSH, where the WV anomaly maintains its values. The globally averaged stratospheric and lower-mesospheric water vapour in Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F7"/> indicates a slight deficiency of SOCOLv4  as the anomalous water dissipates more quickly, as seen in the observations (e.g. the Microwave Limb Sounder – MLS) or the other models <xref ref-type="bibr" rid="bib1.bibx48" id="paren.43"><named-content content-type="pre">see WACCM in Figs. 1, 2, and 3 in</named-content></xref>. Note that our experiment protocol differs from WACCM and the other models <xref ref-type="bibr" rid="bib1.bibx68" id="paren.44"/>, which were either nudged to reanalysis or initialized from the observed sea surface temperatures.</p>

      <fig id="App1.Ch1.S1.F5"><label>Figure A2</label><caption><p id="d2e892">Seasonal zonal-mean structure of surface area density (SAD; shading; <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula><sup>2</sup> cm<sup>−3</sup>) and water vapour (WV; solid contour lines: <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">ppmv</mml:mi></mml:mrow></mml:math></inline-formula>) volume mixing ratios. Anomalies are expressed as differences between the SOCOLv4 simulations with and without the HT forcing. The 2<inline-formula><mml:math id="M44" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> statistical significance from the <inline-formula><mml:math id="M45" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test is indicated by the dots and hatching in the cases of SAD and WV, respectively. The tropopause pressure level is visualized by the purple dashed lines.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025-f05.png"/>

        </fig>

      <fig id="App1.Ch1.S1.F6"><label>Figure A3</label><caption><p id="d2e975">Seasonal zonal-mean structure of the SAD (shading; <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula><sup>2</sup> cm<sup>−3</sup>) and WV (solid contour lines: 0.1, 0.5, 1, and 3 ppmv) volume mixing ratios. The SAD and WV anomalies in GloSSAC and SWOOSH are expressed as differences with respect to the climatology for the periods 1999–2004 and 1984–2023, respectively. The tropopause pressure level is visualized by the purple dashed line.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025-f06.png"/>

        </fig>

      <fig id="App1.Ch1.S1.F7"><label>Figure A4</label><caption><p id="d2e1017">Monthly global-mean evolution of the temperature (shading; K), water vapour volume mixing ratio (black solid contour lines: <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">ppmv</mml:mi></mml:mrow></mml:math></inline-formula>), and ozone volume mixing ratio (%; purple solid contour lines <inline-formula><mml:math id="M51" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5, <inline-formula><mml:math id="M52" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3, and <inline-formula><mml:math id="M53" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1; green solid contour lines <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>,</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M55" display="inline"><mml:mn mathvariant="normal">5</mml:mn></mml:math></inline-formula>) between 100 and 0.01<inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>. The anomalies are expressed as differences between the SOCOLv4 simulations with and without the HT forcing.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025-f07.png"/>

        </fig>

      <p id="d2e1103">The overly strong tropical-to-midlatitude mixing and the overly fast tropical ascent are common peculiarities for chemistry-climate models <xref ref-type="bibr" rid="bib1.bibx13" id="paren.45"/>. As has already been reported <xref ref-type="bibr" rid="bib1.bibx54" id="paren.46"/>, this could be addressed in future simulations with higher vertical resolution <xref ref-type="bibr" rid="bib1.bibx7" id="paren.47"/>. Nevertheless, during late 2022 and early 2023 the model is in good agreement with observations in terms of the WV and aerosol forcing.</p>
</sec>
<sec id="App1.Ch1.S1.SS2">
  <label>A2</label><title>Calculation of anomalies</title>
      <p id="d2e1124">Throughout our analysis we evaluate significance fields using the minimum local <inline-formula><mml:math id="M57" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values from a Student's <inline-formula><mml:math id="M58" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test with global test statistics and the FDR methodology <xref ref-type="bibr" rid="bib1.bibx60" id="paren.48"/> first described by <xref ref-type="bibr" rid="bib1.bibx5" id="text.49"/> and later promoted by <xref ref-type="bibr" rid="bib1.bibx61" id="text.50"/> in the atmospheric sciences. All the illustrations in Sect. <xref ref-type="sec" rid="Ch1.S2"/> show  differences between simulations with and without HT forcing. For the significance regions we show, in addition to the dots indicating local <inline-formula><mml:math id="M59" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>, boundaries of <inline-formula><mml:math id="M61" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> values <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.32</mml:mn></mml:mrow></mml:math></inline-formula> corrected for FDR.</p>
</sec>
<sec id="App1.Ch1.S1.SS3">
  <label>A3</label><title>Calculation of the Northern Annular Mode</title>
      <p id="d2e1195">NAM was calculated at each pressure level as the first empirical orthogonal function (EOF) of the daily, latitude-weighted, and zonal-mean zonal wind poleward of the NH <xref ref-type="bibr" rid="bib1.bibx21" id="paren.51"/>. The NAM index was defined as the principal component time series associated with the first EOF and was standardized. Positive and negative NAM values correspond to strong and weak PV events, respectively, with different thresholds used for the SSW identification <xref ref-type="bibr" rid="bib1.bibx2 bib1.bibx20 bib1.bibx26" id="paren.52"/>.</p>
</sec>
<sec id="App1.Ch1.S1.SS4">
  <label>A4</label><title>Eliassen–Palm flux diagnostics</title>
      <p id="d2e1212">The response of resolved waves is investigated using the EPF diagnostics <xref ref-type="bibr" rid="bib1.bibx1" id="paren.53"/>. EPFs are computed and scaled following <xref ref-type="bibr" rid="bib1.bibx27" id="text.54"/>. The EPF convergence serves as an indicator of wave dissipation, and the EPF divergence (EPFD) indicates sourcing.</p>

      <fig id="App1.Ch1.S1.F8"><label>Figure A5</label><caption><p id="d2e1223">Seasonal zonal-mean structure of the HNO<sub>3</sub> volume mixing ratio (<bold>a–l</bold>; %). Anomalies are expressed as differences in the SOCOLv4 simulation with and without the HT forcing. The 2<inline-formula><mml:math id="M64" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> statistical significance from the <inline-formula><mml:math id="M65" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test is indicated by the dots. The 1<inline-formula><mml:math id="M66" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> FDR correction (see Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/>) is indicated by the black solid contour lines. The tropopause pressure level is visualized by the black dashed line.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025-f08.png"/>

        </fig>

      <fig id="App1.Ch1.S1.F9"><label>Figure A6</label><caption><p id="d2e1270">Seasonal zonal-mean structure of the HOBr volume mixing ratio (<bold>a–l</bold>; %). Anomalies are expressed as differences in the SOCOLv4 simulation with and without the HT forcing. The 2<inline-formula><mml:math id="M67" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> statistical significance from the <inline-formula><mml:math id="M68" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test is indicated by the dots. The 1<inline-formula><mml:math id="M69" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> FDR correction (see Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/>) is indicated by the black solid contour lines. The tropopause pressure level is visualized by the black dashed line.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025-f09.png"/>

        </fig>

<fig id="App1.Ch1.S1.F10"><label>Figure A7</label><caption><p id="d2e1309">Daily anomalies of the EPF (arrows; m<sup>2</sup> s<sup>−2</sup> and hPa m s<sup>−2</sup>), its divergence (EPFD; shading; m s<sup>−1</sup> d<sup>−1</sup>), and its zonal-mean zonal wind (solid (positive) and dashed (negative) contours; m s<sup>−1</sup>) in March 2023.</p></caption>
          
          <graphic xlink:href="https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025-f10.jpg"/>

        </fig>

      <fig id="App1.Ch1.S1.F11"><label>Figure A8</label><caption><p id="d2e1392">Monthly geopotential height anomalies (shading; m) at 10, 50, 100, 200, and 500 hPa in April 2023. The 2<inline-formula><mml:math id="M76" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> statistical significance from the <inline-formula><mml:math id="M77" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test is indicated by the dots. The 1<inline-formula><mml:math id="M78" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> FDR correction (see Sect. <xref ref-type="sec" rid="App1.Ch1.S1.SS2"/>) is indicated by the black solid contour lines.</p></caption>
          
          <graphic xlink:href="https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025-f11.png"/>

        </fig>

<fig id="App1.Ch1.S1.F12"><label>Figure A9</label><caption><p id="d2e1429">Daily zonal-mean zonal wind at 10 hPa and 60° N based on the MERRA2 dataset <xref ref-type="bibr" rid="bib1.bibx19" id="paren.55"/>. It documents two major SSWs in the 2023/2024 winter.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/25/3623/2025/acp-25-3623-2025-f12.png"/>

        </fig>

</sec>
</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e1447">The SWOOSHv2.7 data can be downloaded from <uri>https://csl.noaa.gov/groups/csl8/swoosh/</uri> (Davis, 2025). The MERRA2 reanalysis dataset provided by <xref ref-type="bibr" rid="bib1.bibx37" id="text.56"/> and referred to as the Reanalysis Intercomparison Dataset (RID) can be downloaded from <uri>https://www.jamstec.go.jp/ridinfo/</uri>. M2-SCREAM can be downloaded from <uri>https://acdisc.gesdisc.eosdis.nasa.gov/opendap/hyrax/M2SCREAM/GMAO_M2SCREAM_INST3_CHEM.1/</uri> (NASA's Global Modeling and Assimilation Office (GMAO), 2025). The GloSSAC data can be downloaded from <uri>https://asdc.larc.nasa.gov/project/GloSSAC</uri> (NASA Langley Research Center's (LaRC) ASDC DAAC, 2025). The code that was used to produce all the plots in this study is available via Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.14743768" ext-link-type="DOI">10.5281/zenodo.14743768</ext-link>; <xref ref-type="bibr" rid="bib1.bibx34" id="altparen.57"/>). Any direct access to the full simulation data can be arranged by contacting the authors. All the postprocessed data files for this study are provided by Mendeley Data (<ext-link xlink:href="https://doi.org/10.17632/hb3whw3nfr.1" ext-link-type="DOI">10.17632/hb3whw3nfr.1</ext-link>, <xref ref-type="bibr" rid="bib1.bibx33" id="altparen.58"/>). The SAD fields retrieved using the REMAP method are provided by ETH Research Collection (<ext-link xlink:href="https://doi.org/10.3929/ethz-b-000713396" ext-link-type="DOI">10.3929/ethz-b-000713396</ext-link>, Jörimann, 2025).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e1484">AK and TS designed the study. TS set up and carried out the model simulations. AK analysed the data. AK, TS, and AJ curated the data. AK compiled the manuscript with inputs from all the other authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e1490">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="d2e1496">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e1503">Ales Kuchar and Harald H. Rieder  acknowledge support by BOKU University. Timofei Sukhodolov and Andrin Jörimann acknowledge support from the Swiss National Science Foundation's AEON project (grant no. 200020E_219166). Timofei Sukhodolov also acknowledges support from Karbacher Fonds, Graubünden, Switzerland. Eugene Rozanov was partly supported by Saint Petersburg State University (research grant no. 116234986). The simulations were performed at the ETH cluster EULER and the Swiss National Supercomputing Centre (CSCS) under project s1191. Gabriel Chiodo acknowledges support by the European Commission through an ERC Starting Grant (grant no. 101078127).</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e1508">This research has been supported by the Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (grant no. 200020E_219166), the European Commission (ERC Starting Grant no. 101078127), the Spanish Ministry of Science and Innovation (Ramon y Cajal grant no. RYC2021-45033422-I) and Saint Petersburg State University (research grant no. 116234986). Publisher's note: the article processing charges for this publication were not paid by a Russian or Belarusian institution.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e1514">This paper was edited by Rolf Müller and Peter Haynes and reviewed by two anonymous referees.</p>
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