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  <front>
    <journal-meta><journal-id journal-id-type="publisher">WCD</journal-id><journal-title-group>
    <journal-title>Weather and Climate Dynamics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">WCD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Weather Clim. Dynam.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2698-4016</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/wcd-7-857-2026</article-id><title-group><article-title>The role of Rossby wave breaking in the formation and maintenance of tropical-extratropical cloud bands over the South Pacific</article-title><alt-title>Connection between PV structures and cloud bands over the South Pacific</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Pilon</surname><given-names>Romain</given-names></name>
          <email>romain.pilon@unil.ch</email>
        <ext-link>https://orcid.org/0000-0002-3898-1372</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>De Vries</surname><given-names>Andries Jan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1175-6474</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Domeisen</surname><given-names>Daniela I. V.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1463-929X</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Earth Surface Dynamics, University of Lausanne, Lausanne, Switzerland</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute for Atmospheric and Climate Science, ETH Zürich, Zürich, Switzerland</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Romain Pilon (romain.pilon@unil.ch)</corresp></author-notes><pub-date><day>29</day><month>May</month><year>2026</year></pub-date>
      
      <volume>7</volume>
      <issue>2</issue>
      <fpage>857</fpage><lpage>872</lpage>
      <history>
        <date date-type="received"><day>3</day><month>February</month><year>2026</year></date>
           <date date-type="rev-request"><day>12</day><month>February</month><year>2026</year></date>
           <date date-type="rev-recd"><day>30</day><month>April</month><year>2026</year></date>
           <date date-type="accepted"><day>20</day><month>May</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Romain Pilon et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://wcd.copernicus.org/articles/7/857/2026/wcd-7-857-2026.html">This article is available from https://wcd.copernicus.org/articles/7/857/2026/wcd-7-857-2026.html</self-uri><self-uri xlink:href="https://wcd.copernicus.org/articles/7/857/2026/wcd-7-857-2026.pdf">The full text article is available as a PDF file from https://wcd.copernicus.org/articles/7/857/2026/wcd-7-857-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e105">Tropical-extratropical cloud bands are elongated cloud structures bridging tropical and midlatitude regions that act as a primary source of regional precipitation. While the role of Rossby wave breaking in the formation of cloud bands is established, the extent to which this dynamic forcing governs cloud band characteristics, their entire lifecycle, their spatial distribution and seasonality has not yet been systematically quantified. In this study, we apply an object-based approach to reanalysis data to investigate how stratospheric potential vorticity (PV) structures, as indicators of Rossby wave breaking, influence cloud band formation and persistence over the South Pacific region. Our climatological analysis confirms a robust statistical link in which cyclonic PV structures steer tropical moisture poleward and eastward, shaping the diagonal orientation of the cloud bands. We also find that cloud band duration is modulated by the properties of PV structures: long-lived cloud bands are distinguished by a systematically higher frequency of upstream PV structures and are sustained by persistent PV structures throughout their lifecycle, which favour a more zonal orientation of the cloud systems. Categorizing by cloud band duration reveals distinct seasonal regimes: while short-lived events occur year-round, persistent cloud bands are strictly confined to the austral warm season. Furthermore, long-lived cloud bands are associated with PV structures that reside significantly farther equatorward prior to genesis compared to those of short-lived events. These findings highlight that breaking Rossby waves create a tropospheric environment favouring not only the formation but also the maintenance of these cloud bands. Consequently, accurately representing Rossby wave dynamics in weather and climate models is critical for simulating cloud band characteristics and their influence on climate variability.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung</funding-source>
<award-id>PP00P2_198896</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="d2e117">The South Pacific Convergence Zone (SPCZ) is the most prominent rain band in the Southern Hemisphere and a dominant feature of the global climate system. Together with the South Atlantic Convergence Zone (SACZ) and the South Indian Convergence Zone (SICZ), it forms one of the three primary diagonal convective bands in the Southern Hemisphere <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx43" id="paren.1"/>. Extending southeastward from the tropical western Pacific into the central subtropical Pacific, the SPCZ comprises a zonally orientated tropical component and a diagonally orientated subtropical segment <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx5" id="paren.2"/>. Climatologically, the SPCZ represents the aggregation of recurring, synoptic-scale precipitating cloud bands. These cloud bands play a critical dual role in the regional hydroclimate. On one hand, they act as the primary freshwater source for many Pacific Island nations, supporting agriculture and local economies <xref ref-type="bibr" rid="bib1.bibx13 bib1.bibx23" id="paren.3"/>. On the other hand, they are frequently associated with hydro-meteorological extremes; their variability – particularly when events become stationary or intense – is a primary driver of both droughts and devastating flooding <xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx5 bib1.bibx37" id="paren.4"/>. Given the impact of these systems on the atmospheric and hydroclimatic conditions in the South Pacific, it is crucial to understand the dynamic factors governing not only their formation, lifetime, spatial and seasonal distribution but also their evolution and intensity.</p>
      <p id="d2e132">The existence and position of the SPCZ are largely controlled by the distribution of sea surface temperatures and the zonal asymmetry of the atmospheric background flow <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx50" id="paren.5"/>. This background state varies on intraseasonal to interannual timescales due to the influence of the MJO and ENSO <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx5" id="paren.6"/>. Furthermore, the characteristic diagonal orientation of the SPCZ is shaped by the propagation of Rossby waves from the extratropics; idealized dynamical frameworks have demonstrated that these waves are refracted toward the equatorial westerly duct, a process that organizes convection into the distinct northwest–southeast tilt observed in the climatology <xref ref-type="bibr" rid="bib1.bibx25 bib1.bibx43 bib1.bibx44" id="paren.7"/>. Consequently, the variability of the SPCZ, particularly in its southern extent, is strongly modulated by the breaking of these midlatitude Rossby waves and the resulting tropical–extratropical interactions <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx1 bib1.bibx29" id="paren.8"/>.</p>
      <p id="d2e147">Rossby wave breaking (RWB) is dynamically defined by the rapid, irreversible overturning of potential vorticity (PV) contours on isentropic surfaces <xref ref-type="bibr" rid="bib1.bibx27" id="paren.9"/>. The specific morphology of this overturning – often referred to as anticyclonic and cyclonic, and equatorward and poleward wave breaking archetypes – exerts a strong influence on local jet streak dynamics and transverse circulations <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx31 bib1.bibx3" id="paren.10"/>. Although different archetypes provide valuable dynamic context, the present study focuses on the general presence of the dynamic forcing without distinguishing between these archetypes. Accordingly, we represent RWB by elongated intrusions of stratospheric high-PV air – known as PV streamers <xref ref-type="bibr" rid="bib1.bibx2" id="paren.11"/> – that penetrate the tropical upper troposphere and may detach to form isolated PV cut-offs <xref ref-type="bibr" rid="bib1.bibx49" id="paren.12"/>. These PV intrusions destabilize the lower atmosphere and induce ascent, thereby facilitating deep convection <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx46 bib1.bibx1" id="paren.13"/>. Simultaneously, the cyclonic circulation associated with PV intrusions transports tropical moisture poleward and eastward along their downstream flank, often contributing to the formation of atmospheric rivers and to the development of tropical–extratropical cloud bands <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx7" id="paren.14"/>, particularly in regions of westerly flow <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx38" id="paren.15"/>.</p>
      <p id="d2e172">Cloud bands resulting from such interactions – also referred to in the literature as tropical plumes – have been identified in various regions, including South America <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx51 bib1.bibx52" id="paren.16"/>, Southern Africa <xref ref-type="bibr" rid="bib1.bibx14" id="paren.17"/>, northwestern Africa <xref ref-type="bibr" rid="bib1.bibx21" id="paren.18"/>, Australia <xref ref-type="bibr" rid="bib1.bibx40 bib1.bibx4" id="paren.19"/>, and the Middle East <xref ref-type="bibr" rid="bib1.bibx42" id="paren.20"/>. Among these regions, the South Pacific stands out: global objective climatologies identify it as hosting the highest frequency and most spatially extensive tropical plumes on Earth <xref ref-type="bibr" rid="bib1.bibx11" id="paren.21"/>. Despite this prominence, the factors governing the lifecycle and duration of South Pacific cloud bands remain less characterized than those of their South Atlantic counterparts. For the SACZ, recent object-based studies have explicitly distinguished between transient and persistent events, demonstrating that long-lived cloud bands are actively sustained by amplified, recurrent Rossby wave trains <xref ref-type="bibr" rid="bib1.bibx51" id="paren.22"/>.</p>
      <p id="d2e198">In the South Pacific, while the fundamental role of Rossby waves in organizing the diagonal SPCZ is established through case studies and idealized experiments <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx20 bib1.bibx43 bib1.bibx44" id="paren.23"/>, and its broad variability is well-documented <xref ref-type="bibr" rid="bib1.bibx5" id="paren.24"/>, the specific dependency of cloud band lifetime on the properties of upstream wave forcing remains unquantified. Most existing climatological assessments rely on instantaneous co-occurrence statistics or fixed-grid analyses <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx11 bib1.bibx5" id="paren.25"><named-content content-type="pre">e.g.,</named-content></xref>, leaving the coupled lifecycle evolution of these systems unresolved. Consequently, it remains an open question whether the lifetime of these cloud bands is primarily dictated by the large-scale background flow, or if it is actively modulated by the properties of the triggering PV intrusions, such as their vertical depth and meridional extent.</p>
      <p id="d2e212">To address this gap, we quantify the climatological statistics of the coupling between PV intrusions and cloud bands in the South Pacific and characterize their spatial and temporal variability. Furthermore, we hypothesize that the duration of these cloud bands is influenced by the properties of their dynamic drivers; for instance, that sustained and vertically extensive (deep) PV structures provide a more favourable environment for moisture transport and enhanced convection, thereby supporting longer-lived cloud bands. To test this hypothesis, we employ a cloud band tracking algorithm to follow events through their full lifecycle. This object-based approach allows for a robust climatological analysis of the connection between cloud band events and their dynamic drivers, providing insights into the drivers of cloudiness over the SPCZ.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and Methods</title>
      <p id="d2e223">We use the ERA5 global reanalysis dataset <xref ref-type="bibr" rid="bib1.bibx17" id="paren.26"/> from the European Centre for Medium-Range Weather Forecasts (ECMWF) for the period 1979–2021, on a 0.5° regular grid, to identify cloud bands and PV structures. Specifically, we use outgoing longwave radiation (OLR), geopotential height at 500 hPa (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">500</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), vertical velocity (<inline-formula><mml:math id="M2" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>), and potential vorticity (PV). The three-dimensional fields are extracted at 100 hPa intervals between 800 and 300 hPa, and at 50 hPa intervals above 300 hPa and below 800 hPa. For PV structures and their identification, see Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/>.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Identification and Tracking of Tropical-Extratropical Cloud Bands and PV Structures</title>
<sec id="Ch1.S2.SS1.SSS1">
  <label>2.1.1</label><title>Identification of Cloud Bands</title>
      <p id="d2e264">Tropical-extratropical cloud bands in the South Pacific are identified using the detection algorithm of <xref ref-type="bibr" rid="bib1.bibx34" id="text.27"/>, which applies an image segmentation approach to OLR fields using a threshold of 210<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">W</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Contiguous regions with OLR values below this threshold are defined as distinct cloud objects. To isolate tropical-extratropical interactions, the algorithm filters for objects satisfying specific geometric criteria: cloud bands must cross 23.5° north or south, must exhibit a diagonal orientation and extend from tropical latitudes (equatorward of 20° S) into the mid-latitudes (poleward of 27° S).</p>
      <p id="d2e288">The detection is restricted to a domain encompassing the SPCZ (130° E–70° W, 5° N–50° S). This spatial constraint is critical to minimize the identification of artefacts; otherwise, the algorithm risks erroneously merging the SPCZ with the intertropical convergence zone or with mid-latitude cold clouds, resulting in the false detection of extensive cloud bands <xref ref-type="bibr" rid="bib1.bibx34" id="paren.28"/>. For this study, the detection is performed on daily mean OLR fields derived from the 3-hourly ERA5 data. This temporal averaging acts as a smoothing procedure that improves the connectivity between low-OLR regions, thereby preventing the over-segmentation of cloud systems.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS2">
  <label>2.1.2</label><title>Spatio-temporal Tracking of Cloud Bands</title>
      <p id="d2e302">To facilitate the climatological analysis of transient cloud bands and their precursors, an event-based tracking algorithm is developed. This approach extends the daily detection and frame-to-frame inheritance tracking of <xref ref-type="bibr" rid="bib1.bibx34" id="text.29"/>. This framework allows us to perform composite analyses centred on specific lifecycle stages (e.g., genesis) and quantify event characteristics, such as duration, for correlation with upstream PV structures.</p>
      <p id="d2e308">The genesis of a new cloud band event is defined when a cloud band is detected at a time <inline-formula><mml:math id="M4" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> without a spatially overlapping structure at the previous time step (<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>). Temporal continuity is maintained when a cloud band corresponds to a single antecedent structure that, in turn, evolves into only that single subsequent structure. When a single cloud band at a time <inline-formula><mml:math id="M6" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is found to have spatial overlap with multiple distinct antecedent structures at a day <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (as it can occur when a tropical moisture plume and a mid-latitude front merge), the cloud band inherits the event identification of the oldest (longest-lived) antecedent event. Conversely, when a single antecedent structure evolves into multiple distinct cloud bands – for instance, when cloud systems associated with a front detach from the tropical part of the SPCZ – this defines the end of the event. This criterion is critical for isolating coherent structures, as each resulting structure subsequently initiates a new, independent event, thereby avoiding the ambiguity of defining a single entity through complex evolutions.</p>
      <p id="d2e349">This event-based framework yields a dataset of discrete cloud band events, each with a defined genesis, end, and duration.</p>
</sec>
<sec id="Ch1.S2.SS1.SSS3">
  <label>2.1.3</label><title>Categorization of Cloud Band Duration</title>
      <p id="d2e360">Based on the tracking output, the duration <inline-formula><mml:math id="M8" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> of a cloud band event is defined as the number of consecutive days between its genesis and end. To characterize the typical lifecycles of these systems, we compute the empirical survival function, which estimates the probability that a cloud band's duration <inline-formula><mml:math id="M9" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> exceeds a specific number of <inline-formula><mml:math id="M10" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> days. For a total population of <inline-formula><mml:math id="M11" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> events, this is calculated as:

              <disp-formula id="Ch1.Ex1"><mml:math id="M12" display="block"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>&gt;</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mi>N</mml:mi></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mi>N</mml:mi></mml:munderover><mml:mn mathvariant="double-struck">1</mml:mn><mml:mo>(</mml:mo><mml:msub><mml:mi>d</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>&gt;</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>

            where <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>d</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the duration of the <inline-formula><mml:math id="M14" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>-th event and <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mn mathvariant="double-struck">1</mml:mn><mml:mo>(</mml:mo><mml:mo>⋅</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the indicator function (taking the value of 1 if the condition is met and 0 otherwise). Table <xref ref-type="table" rid="T1"/> presents these survival probabilities for the 1979–2021 period. The distribution is highly skewed towards short-duration events; approximately 42 % of cloud bands last for only 1 d, and only 10 % persist for longer than 5 d.</p>
      <p id="d2e480">To differentiate the dynamic environments driving these lifecycles, we stratify cloud bands into three categories based on these survival probabilities: transient (1–2 d; representing <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">65</mml:mn></mml:mrow></mml:math></inline-formula> % of the population), “transitional” (3 d), and long-lived (<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> d; representing the top <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> % of lifetime). This 4 d threshold for persistence is consistent with the methodology used for South American cloud bands by <xref ref-type="bibr" rid="bib1.bibx51" id="text.30"/>. As the 3 d events represent a transition zone with mixed dynamic characteristics, the following comparative analysis focuses on the contrast between the distinct transient and persistent regimes.</p>

<table-wrap id="T1"><label>Table 1</label><caption><p id="d2e519">Empirical survival probabilities for cloud band lifetimes for the period 1979–2021. The values indicate the percentage of events with a duration (<inline-formula><mml:math id="M19" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>) strictly exceeding <inline-formula><mml:math id="M20" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> days.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left" colsep="1"/>
     <oasis:colspec colnum="2" colname="col2" align="center"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:colspec colnum="7" colname="col7" align="center"/>
     <oasis:colspec colnum="8" colname="col8" align="center"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Duration <inline-formula><mml:math id="M21" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5">4</oasis:entry>
         <oasis:entry colname="col6">5</oasis:entry>
         <oasis:entry colname="col7">7</oasis:entry>
         <oasis:entry colname="col8">10</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">(days)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>&gt;</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">57.2</oasis:entry>
         <oasis:entry colname="col3">34.8</oasis:entry>
         <oasis:entry colname="col4">22.4</oasis:entry>
         <oasis:entry colname="col5">14.5</oasis:entry>
         <oasis:entry colname="col6">9.6</oasis:entry>
         <oasis:entry colname="col7">4.5</oasis:entry>
         <oasis:entry colname="col8">1.6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">(%)</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Identification of Stratospheric Potential Vorticity Structures</title>
      <p id="d2e693">We use PV structures as indicators of Rossby wave breaking using the algorithm of <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx8" id="text.31"/>, adapted from <xref ref-type="bibr" rid="bib1.bibx49" id="text.32"/>. PV is computed from 6-hourly data on ERA5 model levels and then linearly interpolated onto isentropic levels between 275 and 360 K at 5 K intervals. The method uses 2 potential vorticity unit (PVU; where <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mtext>PVU</mml:mtext><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> K kg<sup>−1</sup> m<sup>2</sup> s<sup>−1</sup>) contours, representing the dynamical tropopause, which separates stratospheric and tropospheric air masses, to identify PV streamers and cut-off lows, hereafter referred to as PV structures. Here, we only use stratospheric PV structures with <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mtext>PV</mml:mtext><mml:mo>|</mml:mo><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mtext>PVU</mml:mtext></mml:mrow></mml:math></inline-formula>. To ensure temporal consistency with the cloud band dataset, we aggregate these 6-hourly PV features onto a daily timescale. Furthermore, we specifically define “deep PV structures” as grid points having PV structures for at least three consecutive time steps (i.e., 18 h) and spanning at least two isentropic levels. These deep PV structures are illustrated in Fig. <xref ref-type="fig" rid="F1"/> as the number of isentropic levels with such detected features.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Connection Between PV Structures and Cloud Bands</title>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Collocation Methodology</title>
      <p id="d2e793">To quantify how many cloud bands are associated with PV structures and to assess their spatial relationship, we use a collocation method based on the geometrical bounding boxes and centroids (which are here the weighted centre of mass) of both features (details are provided in Appendix <xref ref-type="sec" rid="App1.Ch1.S1.SS1"/>). Both cloud bands and PV structures are analysed on a daily timescale. To prevent over-attribution of cloud bands to PV structures, given their relatively high frequency and large spatial extents, we select only the deep PV structures defined in Sect. <xref ref-type="sec" rid="Ch1.S2.SS2"/> (i.e., those that are both sufficiently deep and persistent). A cloud band is considered connected to a deep PV structure if their bounding boxes overlap and the centroid of the PV structure lies south-west of the cloud band's diagonal transect (Fig. <xref ref-type="fig" rid="FA1"/>). This geometric constraint is applied to capture the specific dynamical configuration of tropical-extratropical interactions, in which the forcing upper-level trough is positioned at the upstream flank of the cloud band. This geometric constraint is deliberately applied to capture the specific dynamical configuration of tropical-extratropical interactions, in which the upper-level trough is positioned at the upstream flank of the cloud band (e.g., <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx20" id="altparen.33"/>).</p>
</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Composite Analysis</title>
      <p id="d2e813">To characterize atmospheric conditions throughout the cloud band lifecycle, we construct spatial composites within a 6000 km <inline-formula><mml:math id="M28" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 6000 km domain. Depending on the specific analysis, we employ two distinct spatial reference frames. Firstly, to evaluate the local atmospheric evolution in relation to the onset location (see Figs. <xref ref-type="fig" rid="F3"/> and <xref ref-type="fig" rid="F4"/>), a static reference frame is employed in which the composite domain remains fixed in space to the centroid of the cloud band at the time of formation (day 0) for all lags. This analysis focuses on PV structure depth (defined as the mean number of isentropic levels with PV structures), OLR, integrated water vapour transport (IVT), and anomalies of <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">500</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Secondly, we use a dynamic reference frame where the composite domain follows the tracked cloud band centroid to evaluate the spatial co-evolution of the dynamic environment alongside the system (see Figs. <xref ref-type="fig" rid="F7"/> and <xref ref-type="fig" rid="F8"/>). These tracked composites focus on absolute PV depth anomalies and the relative frequency of cloud band occurrence. For both composite types, anomalies are computed relative to a long-term (1979–2021) climatology based on a 21 d running mean of daily averages to remove the seasonal cycle, following the methodology of <xref ref-type="bibr" rid="bib1.bibx15" id="text.34"/> and <xref ref-type="bibr" rid="bib1.bibx6" id="text.35"/>.</p>
      <p id="d2e849">For the quantitative analysis of upstream PV structures (and the creation of lagged time series), we define a dynamic “upstream sector”. This sector is defined as the triangular area to the southwest of the cloud band, bounded by its geometric bounding box and the feature's major axis (Fig. <xref ref-type="fig" rid="FA1"/>). This adaptive-area approach is designed to select PV structures located near the cloud band's genesis region and poleward flank, filtering out far-upstream mid-latitude signals. For lagged analyses centred on the time of event genesis (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), this upstream sector is fixed relative to the genesis location for all negative lags (<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) and follows the tracked cloud band centroid for all positive lags (<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>). Furthermore, uncertainty in these lagged composite time series (see Sect. <xref ref-type="sec" rid="Ch1.S3.SS6.SSS1"/>) is quantified using 95 % confidence intervals. The Wilson score interval is applied to the binomial occurrence frequency of upstream PV structures. For the median values of the PV vertical depth and latitudinal position, confidence intervals are estimated via non-parametric bootstrap resampling. Finally, in Sect. <xref ref-type="sec" rid="Ch1.S3.SS6.SSS1"/>, we evaluate the mean orientation of cloud bands to assess structural differences between cloud bands of different lifetimes. The statistical significance of the difference in mean orientation between the different cloud band categories is calculated at each lag using a two-tailed Welch's <inline-formula><mml:math id="M33" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>-test to account for the unequal variances and sample sizes.</p>
</sec>
<sec id="Ch1.S2.SS3.SSS3">
  <label>2.3.3</label><title>Significance Testing</title>
      <p id="d2e910">To assess the statistical significance of cloud band–PV connections,  we perform a Monte Carlo (MC)-based significance test. We generate 5000 randomized datasets by shuffling the positions of deep PV structures in time, using random dates throughout the year without maintaining seasonality (e.g., a cloud band from October could be associated with a PV structure from May). For each MC simulation and for each grid point, we compute the fraction of cloud bands that are connected to randomized deep PV structures. We then calculate p-values as the fraction of MC simulations where the simulated connection is greater than or equal to the observed connection. A grid point is considered statistically significant if its <inline-formula><mml:math id="M34" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>-value is below 0.05, indicating that the observed connection between a deep PV structure and a cloud band is unlikely to have occurred by chance.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Case studies</title>
      <p id="d2e937">We first present two case studies over the South Pacific, shown in Fig. <xref ref-type="fig" rid="F1"/>, to demonstrate the connection between cloud bands and PV intrusion. In both cases, the cloud bands exhibit the typical northwest–southeast tilt characteristic of tropical-extratropical interactions in this region. The first case study (Fig. <xref ref-type="fig" rid="F1"/>a–d) illustrates a cloud band event over the South Pacific in January 2017, coinciding with flooding in Tahiti that had notable societal impacts. According to the EM-DAT international disaster database <xref ref-type="bibr" rid="bib1.bibx9" id="paren.36"/>, this event affected 5000 people and caused USD 2.559 million in damages. On 20 January, a PV cut-off is present around 30° S, 150° W, and is joined the following day by PV streamers intruding into the central South Pacific, coincident with the cloud band extending poleward. These PV streamers subsequently transform into a PV cut-off (around 35° S–150° W), associated with the further poleward elongation of the cloud band (Fig. <xref ref-type="fig" rid="F1"/>c–d). This evolution is consistent with the dynamics of tropical plumes induced by upper-level troughs described by <xref ref-type="bibr" rid="bib1.bibx20" id="text.37"/>.</p>
      <p id="d2e952">A second example illustrates a different interaction between PV structures and cloud bands. The case study from February 2021 (Fig. <xref ref-type="fig" rid="F1"/>e–h) features a long cloud band exhibiting two sections: one zonally orientated in the tropics and the other diagonally orientated in the subtropics (Fig. <xref ref-type="fig" rid="F1"/>e–f). On 27 February, the cloud band split into two segments, influenced by two co-occurring PV structures, separated by approximately 60° of longitude (located at approximately (30° S, 180° and 35° S, 120° W). This splitting, driven by multiple PV intrusions and the resulting spatial separation between cloud structures, aligns with the interaction dynamics described by <xref ref-type="bibr" rid="bib1.bibx19" id="text.38"/>.</p>
      <p id="d2e962">In both cases, PV structures are located to the west of tropical-extratropical cloud bands. This westward offset of PV structures relative to cloud bands is typical of the interactions observed in these events, where PV intrusions precede the development of tropical-extratropical cloud bands <xref ref-type="bibr" rid="bib1.bibx20" id="paren.39"/> and contribute to their diagonal orientation.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e971">Daily snapshots of identified tropical-extratropical cloud bands (blue shading), daily mean of OLR at 210 W m<sup>−2</sup> (black contour), and daily mean number of isentropic levels with stratospheric PV streamers and cut-offs (red shading) over the South Pacific for two distinct events: <bold>(a)</bold>–<bold>(d)</bold> 20–23 January 2017, <bold>(e)</bold>–<bold>(h)</bold> 25–28 February 2021.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/857/2026/wcd-7-857-2026-f01.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Climatologies</title>
      <p id="d2e1012">As a next step, to generalize beyond the case studies, we present the climatology of cloud bands and deep PV structures over the South Pacific from 1979 to 2021. Figure <xref ref-type="fig" rid="F2"/>a presents the independent climatology of CBs and PV structures. The spatial distribution of cloud bands mirrors the SPCZ, being primarily concentrated in the central Pacific with a characteristic northwest–southeast orientation. This pattern resembles the climatology of tropical plumes described by <xref ref-type="bibr" rid="bib1.bibx11" id="text.40"/>. To the south, the frequency of PV structures exhibits a distinct meridional gradient, with occurrences increasing towards the extratropics. This aligns with the previously demonstrated climatology of RWB, with the highest frequency occurrences in the extratropics, reducing towards lower latitudes <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx8" id="paren.41"/>. This figure also illustrates PV structures extending further into the tropics in the eastern Pacific, where westerly ducts are located. Westerly ducts facilitate interactions between extratropical westerlies and tropical flows, allowing Rossby waves to penetrate deeper into tropical latitudes <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx47 bib1.bibx20 bib1.bibx10" id="paren.42"/>. Throughout the seasonal cycle, the occurrence of cloud bands aligns with the latitudinal migration of PV structures (Fig. <xref ref-type="fig" rid="F2"/>b), peaking when high PV structure frequencies extend equatorward during austral summer and autumn, consistent with the findings of <xref ref-type="bibr" rid="bib1.bibx35" id="text.43"/>. This alignment suggests that PV structures reaching farthest equatorward during the austral summer may facilitate interactions with tropical-extratropical cloud bands.</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e1034">Climatologies of cloud bands and deep PV structures averaged between 1979 and 2021 across the South Pacific. <bold>(a)</bold> Annual average frequency of PV structures (shading) and cloud bands (contours) in days per year. The contours represent the average number of days with cloud bands per year during the same period (representing local spatial density). <bold>(b)</bold> Seasonal cycle as a function of latitude, where PV structures (shading) and cloud bands (solid contours) are integrated zonally across the domain and expressed as the average number of occurrences per month. The dashed contours show the fraction of cloud bands connected to deep PV structures (interval: 0.1). <bold>(c)</bold> Annual average fraction of cloud bands connected to deep PV structures; when 0 % of cloud bands are linked to PV structures, values are masked out (white shading). Hatching indicates areas where the 5 % significance level is not met, according to a Monte Carlo test. Contours are the same as in panel (a).</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/857/2026/wcd-7-857-2026-f02.jpg"/>

        </fig>

      <p id="d2e1052">To quantify the broader linkage between PV structures and cloud bands, we analyse their spatial collocation, as defined in Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/>. The spatial relationship between these features is shown in Fig. <xref ref-type="fig" rid="F2"/>c, which displays the average fraction of cloud bands connected to deep PV structures. The strongest connection and significant fractions are primarily observed in the central and eastern mid-latitudes of the basin, as well as in the western and central tropical Pacific. High fractions can also be found in the eastern tropical Pacific, but are not statistically significant due to the rare occurrence of cloud bands in this part of the ocean basin. The statistical significance test confirms that the region of robust connections aligns with the SPCZ and extends into the midlatitudes, highlighting the prevalence of tropical-extratropical interactions in the South Pacific.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Atmospheric Processes Contributing To Cloud Band Formation</title>
      <p id="d2e1067">While the fundamental mechanisms of tropical-extratropical interactions are established <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx12" id="paren.44"><named-content content-type="pre">e.g.,</named-content></xref>, we first characterize the synoptic evolution specifically within our object-based framework to first validate that our tracking algorithm successfully captures the coherent physical coupling between Rossby wave breaking and convection described in the literature, and second, it defines the dynamical baseline required to understand the cloud band lifecycles discussed in the next section.</p>
      <p id="d2e1075">Figure <xref ref-type="fig" rid="F3"/> illustrates time-lagged composites of the synoptic environment centred on the cloud band onset (day 0). The composites (panels a–c) display the spatial distribution of PV structure depth, <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">500</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies, OLR, and IVT for all cloud bands of the period. At day <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, an amplifying upper-level trough appears to the west of the future cloud band centroid, indicated by negative <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">500</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies (dashed contours) and increased PV structure frequency. At this precursor stage, moisture transport (IVT) is dominated by the background easterly trade wind regime, and OLR values remain relatively high at the composite centre. By day 0, the interaction matures. The PV structure deepens and shifts to the south-west of the region of deep convection (low OLR). The PV dipole (high and low PV depths) is tilted northwest–southeast, matching the cloud band orientation. This configuration is consistent with anticyclonic RWB. In the region downstream of increased PV structure frequencies, moisture transport is steered in a poleward and eastward direction, consistent with the cyclonic circulation anomaly that is induced by cyclonic PV anomalies. By day <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, the dynamic forcing wanes: the PV structure becomes thinner, and the upstream trough fills (weakening <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">500</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies), accompanied by a decrease in poleward moisture transport and the dissipation of the cloud band.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1136">Time-lagged composites for the period 1979–2021, spatially fixed to the cloud band centroid at genesis (day 0). All lead and lag panels <bold>(a, c, d, f)</bold> display the atmospheric conditions relative to this static genesis location. Panels <bold>(a)</bold>–<bold>(c)</bold> show the daily mean of the vertical sum of isentropic levels with stratospheric PV structures (shading), OLR (solid black contours, in W m<sup>−2</sup>), normalized 500 hPa geopotential height anomalies (green contours; dashed for negative and solid for positive values; increment of 0.2 standard deviations, zero line omitted), and IVT (red arrows). IVT vectors are derived from their zonal and meridional components and are only displayed for magnitude values exceeding 150 kg m<sup>−1</sup> s<sup>−1</sup>. The white contour in panel <bold>(b)</bold> represents the 210 W m<sup>−2</sup> cloud band detection threshold. Panels <bold>(d)</bold>–<bold>(f)</bold> show vertical–meridional cross-sections through the cloud band centroid, displaying vertical velocity <inline-formula><mml:math id="M45" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> (solid contours for positive values corresponding to descent, dashed contours for negative values corresponding to ascent, in 10<sup>−2</sup> Pa s<sup>−1</sup>) and PV anomalies (shading, in PVU). Positive distances from cloud bands refer to positions north of the cloud band's centroid.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/857/2026/wcd-7-857-2026-f03.jpg"/>

        </fig>

      <p id="d2e1245">To examine the vertical structure of these interactions, we create vertical–meridional cross-sections of PV anomalies and vertical velocity (<inline-formula><mml:math id="M48" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>) centred on the centroid of cloud bands at lead and lag times relative to their onset (Fig. <xref ref-type="fig" rid="F3"/>d–f). The composites reveal a strengthening dipole in the upper troposphere and lower stratosphere (300–100 hPa). A cyclonic PV anomaly (negative values, blue shading) extends into the upper troposphere poleward of the cloud band centre, while an anticyclonic anomaly (positive values, red shading) is positioned equatorward. From day <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> to day 0, this dipole intensifies. At onset (day 0), strong ascent (negative <inline-formula><mml:math id="M50" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula>) is centred on the cloud band, located downstream of the cyclonic PV anomaly and along the poleward edge of the anticyclonic anomaly. This configuration is consistent with quasi-geostrophic forcing, where upper-level cyclonic PV anomalies destabilize the lower troposphere and induce upward motion ahead of the intrusion <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx12" id="paren.45"/>. This structure highlights the influence of convective heating on the vertical PV distribution <xref ref-type="bibr" rid="bib1.bibx28" id="paren.46"/>: diabatic heating leads to the local destruction of PV above the heating maximum, creating or enhancing the anticyclonic anomaly <xref ref-type="bibr" rid="bib1.bibx30" id="paren.47"/>.</p>
      <p id="d2e1284">Our findings are consistent with the vorticity budget analysis of <xref ref-type="bibr" rid="bib1.bibx43" id="text.48"/>. They demonstrated that latent heat release within the SPCZ forces strong upper-tropospheric divergence, generating an anticyclonic vorticity tendency driven by this upper-level outflow. This tendency counteracts the incoming cyclonic anomaly, acting as a negative feedback which typically dissipates the transient wave. Validating this dissipation mechanism bridges the gap between the formation and evolution of these cloud bands. This suggests that the duration of persistent events is not driven by a local positive feedback loop, but is instead dynamically regulated by the interplay between synoptic forcing and local diabatic damping. Specifically, a cloud band will persist only if there is sufficient sustained extratropical forcing upstream to continuously overcome the negative feedback induced by convection.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Synoptic Controls on Cloud Band Duration</title>
      <p id="d2e1298">To characterize the factors influencing cloud band duration, we compare the synoptic evolution of short-lived (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> d) and long-lived (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> d) events (Fig. <xref ref-type="fig" rid="F4"/>). Both the horizontal synoptic evolution and the vertical cross-sections reveal distinct differences in how the upstream forcing initiates and sustains these systems. Differences are evident as early as the precursor stage (day <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). Long-lived events are associated with existing cloudiness and an upstream trough (Fig. <xref ref-type="fig" rid="F4"/>d). This finding is corroborated by the vertical cross-sections, which show that ascending motion is already established prior to genesis (Fig. <xref ref-type="fig" rid="F4"/>j). In contrast, short-lived events show no precursor cloud signals and a weaker horizontal synoptic signature (Fig. <xref ref-type="fig" rid="F4"/>a).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1342">Same as Fig. <xref ref-type="fig" rid="F3"/>a–c but stratified by cloud band duration. <bold>(a)</bold>–<bold>(c)</bold> and <bold>(g)</bold>–<bold>(i)</bold>: short-lived cloud bands (duration 1–2 d), and <bold>(d)</bold>–<bold>(f)</bold> and <bold>(j)</bold>–<bold>(l)</bold>: long-lived cloud bands (duration <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> d).</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/857/2026/wcd-7-857-2026-f04.jpg"/>

        </fig>

      <p id="d2e1388">At onset (day 0), the contrast amplifies: long-lived events are supported by a broad, intense upstream trough, indicated by large negative <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">500</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies and coherent anomalies in PV structure frequencies. In contrast, short-lived events are flanked by a stronger downstream ridge (positive <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">500</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies), which  confines the cloud bands spatially. Vertically, short-lived events exhibit a slightly stronger central ascending motion flanked by more pronounced descending motion (Fig. <xref ref-type="fig" rid="F4"/>h).</p>
      <p id="d2e1416">By day <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, the dynamic forcing decays for short-duration cloud bands, evident from the dissipation of the anomalous PV structure frequencies (Fig. <xref ref-type="fig" rid="F4"/>c). The maintenance of a positive <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">500</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomaly to the northeast of cloud bands suggests that the eastward propagation of the system is hindered by downstream ridging. Conversely, long-lived events display deeper and more consistent anomalous PV structure frequencies than short-lived events (Fig. <xref ref-type="fig" rid="F4"/>f). Here, the circulation remains cyclonic, characterized by negative <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">500</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies flanking the cloud band centre, providing continuous dynamical support to the system. The ascending motion for long-lived events remains in place (Fig. <xref ref-type="fig" rid="F4"/>l), maintaining an intensity approximately twice as strong as the short-lived cloud band events (Fig. <xref ref-type="fig" rid="F4"/>i).</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Seasonality of Cloud Band Lifetime</title>
      <p id="d2e1469">To determine whether the lifetime of cloud bands has seasonal preferences, we analyze the seasonal cycle of short-lived versus long-lived events (Fig. <xref ref-type="fig" rid="F5"/>) as a function of latitude. Previous climatological assessments have established that, unlike in other Southern Hemisphere basins where cloud bands are mainly restricted to the summer months, tropical-extratropical cloud bands in the South Pacific occur year-round, albeit with decreased frequency during the austral winter (e.g., <xref ref-type="bibr" rid="bib1.bibx34" id="altparen.49"><named-content content-type="post">their Fig. 9</named-content></xref>). Building on this baseline, stratifying by duration reveals a clear distinction in seasonality with respect to lifetime. Short-lived events (Fig. <xref ref-type="fig" rid="F5"/>a) display a broad seasonal distribution: while they exhibit a maximum in  austral summer in the tropics, they occur throughout the year. This suggests that transient cloud bands can be triggered by Rossby wave breaking events throughout all seasons, having relevance to both summer tropical convection and winter transient frontal systems.</p>
      <p id="d2e1481">In contrast, persistent (long-lived) cloud bands (Fig. <xref ref-type="fig" rid="F5"/>b) are confined to the austral warm season, with a distinct frequency peak in the tropics during January and February and a notably lower frequency in the mid-latitudes. Frequencies subsequently drop to negligible values at all latitudes during austral winter (July–September). This implies that the maintenance of long-lived, quasi-stationary systems requires a specific concurrence of conditions: the sustained dynamic forcing of an upstream PV intrusion coupled with the favourable thermodynamic environment provided by the seasonal southward excursion of the ITCZ and tropical moisture <xref ref-type="bibr" rid="bib1.bibx44 bib1.bibx5" id="paren.50"/>.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1491">Seasonal cycle of zonal mean frequency for <bold>(a)</bold> short-lived and <bold>(b)</bold> long-lived cloud bands (contours) and their connected PV structures (shading). Frequencies are normalized by the maximum value within each respective duration category (short-lived and long-lived, respectively) to facilitate phase comparison.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/857/2026/wcd-7-857-2026-f05.jpg"/>

        </fig>

      <p id="d2e1507">To further analyze the seasonal variation in cloud band dynamics and their local environment, cloud band-centred composites partitioned into austral summer (DJF) and winter (JJA) at genesis are presented in Fig. <xref ref-type="fig" rid="F6"/>. A marked seasonal contrast can be seen in the intensity of the synoptic forcing (Fig. <xref ref-type="fig" rid="F6"/>a–d). During winter, Rossby wave breaking is notably more intense, characterized by deeper PV structures spanning more than four isentropic levels and a more meridionally aligned <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">500</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> dipole. This reflects the increased baroclinicity typical of the winter hemisphere. The vertical-meridional cross-sections (Fig. <xref ref-type="fig" rid="F6"/>f, h) reveal an amplified PV dipole with intensified ascending and descending motions in JJA compared to the DJF cloud bands (Fig. <xref ref-type="fig" rid="F6"/>e, g). Furthermore, the winter composites display a zonal band of reduced OLR at the bottom in the composite domain, reflecting the intersection with active mid-latitude storm tracks and cold cloud systems. Notably, the descending cyclonic PV tongue poleward of the cloud band is interrupted near 800 hPa by a localized positive PV anomaly. This is a classic indication of low-level, diabatic PV generation driven by latent heat release within the ascending draughts, consistent with the physical mechanisms detailed previously in Fig. <xref ref-type="fig" rid="F3"/>.</p>
      <p id="d2e1532">When comparing different cloud band durations, the winter composites for short- and long-lived events appear structurally similar at genesis (despite the low number of long-lived cloud band events during the austral winter). This suggests that the baroclinic background state during JJA exerts a dominant control on the initial formation phase, yielding a uniform initial synoptic structure regardless of the cloud band's duration. Conversely, during summer (DJF), structural differences at genesis are more pronounced. Long-lived summer cloud bands – along with their associated PV structures and <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>Z</mml:mi><mml:mn mathvariant="normal">500</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> anomalies – exhibit a more zonal orientation and a more elongated shape compared to short-lived events. This cloud geometry is accompanied by a more zonally elongated corridor of moisture transport. Consistent with this, the vertical cross-sections show that long-lived summer cloud bands feature a broader latitudinal footprint of ascending motion, albeit with less intense anticyclonic and cyclonic anomalies compared to short-lived cloud bands. Consistent with previous frameworks emphasizing the interplay between basic-state flow and extratropical wave propagation <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx51" id="paren.51"/>, these findings suggest that the seasonal configuration of midlatitude PV structures determines cloud band morphology. Under the reduced baroclinicity of the summer season, PV structures exhibit a more zonal orientation. This orientation subsequently drives the elongated geometry of the associated cloud bands, enabling the sustained moisture convergence and continuous diabatic feedback required for their persistence.</p>

      <fig id="F6"><label>Figure 6</label><caption><p id="d2e1551">Time-lagged composites centred on the cloud band centroid at genesis (same as lag 0 in Fig. <xref ref-type="fig" rid="F3"/>) for short-lived cloud bands <bold>(a, b, e, f)</bold> and for long-lived cloud bands <bold>(c, d, g, h)</bold> for December, January and February (left column), and for June, July and August (right column). </p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/857/2026/wcd-7-857-2026-f06.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Dynamic Drivers with Respect to Cloud Band Lifetime</title>
      <p id="d2e1576">To further identify the specific dynamic factors influencing cloud band lifecycles, we examine the characteristics of upstream PV structures. We focus on the contrast between the distinct short-lived and long-lived cloud band categories (as defined in Sect. <xref ref-type="sec" rid="Ch1.S2.SS1.SSS3"/>) to identify potential differences in the specific PV structures with respect to cloud band lifetime. The transitional category (duration of 3 d) is included in the figures as a reference to illustrate the intermediate behaviour between these two categories.</p>
<sec id="Ch1.S3.SS6.SSS1">
  <label>3.6.1</label><title>PV Structure Characteristics Upstream of Cloud Bands</title>
      <p id="d2e1588">To identify whether cloud band formation is driven by specific PV structures, Fig. <xref ref-type="fig" rid="F7"/>a presents a lead-lag plot of the composite fraction of cloud bands connected to a PV structure within the upstream sector relative to cloud band genesis (corresponding to lag 0). The climatological baseline is high: even one week before genesis (lag <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula>), approximately 85 % of future cloud band genesis locations already have a PV structure in their upstream sector. This high baseline is expected given the large spatial extent of the defined upstream sector, which naturally captures the high background frequency of Rossby wave breaking in this dynamically active region. Against this high background, the fraction of connected cloud bands rises as genesis approaches, reaching 89 % at lag 0. Following genesis, this association strengthens further, with this fraction increasing to over 95 % by lag <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> for the surviving cloud bands. This suggests that while the presence of upstream PV structures is common, the sustained occurrence of PV structures is a characteristic feature of cloud band persistence.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e1615">Time-lagged composites of PV characteristics relative to cloud band genesis (lag 0). All characteristics are computed within a dynamic upstream sector located south-west of the tracked cloud band (see Sect. <xref ref-type="sec" rid="Ch1.S2.SS3"/> for definition). The left column <bold>(a–c)</bold> shows composites for all events. The right column <bold>(d–f)</bold> stratifies these metrics by total cloud band duration, with the different line colours corresponding to the duration categories defined in the legend. The panels show: <bold>(a, d)</bold> the fraction of cloud bands with an upstream PV structure, <bold>(b, e)</bold> the median vertical depth of the PV structure in isentropic (<inline-formula><mml:math id="M64" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>) levels, and <bold>(c, f)</bold> the median of the most equatorward latitude reached by the PV structures. In panels <bold>(a)</bold>–<bold>(c)</bold>, the change from black to blue lines indicates a shift in the reference frame for the upstream sector: lags <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> (black) use a sector fixed relative to the genesis location, while lags <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> (blue) follow the tracked cloud band centroid. The shading in these panels indicates the confidence interval: for <bold>(a, d)</bold>, it is the 95 % Wilson score confidence interval; for <bold>(b)</bold>–<bold>(f)</bold>, the shading is the 95 % bootstrap confidence interval for the median. Panel <bold>(c)</bold>, in addition, includes light shading extending to the 90th percentile, quantifying the 10 % most equatorward-penetrating PV intrusions. The right-hand axis and markers (yellow stars) in panel <bold>(a)</bold> show the number (total summed over all years) of individual cloud band events included at each lag.</p></caption>
            <graphic xlink:href="https://wcd.copernicus.org/articles/7/857/2026/wcd-7-857-2026-f07.png"/>

          </fig>

      <p id="d2e1691">This dependence on sustained forcing by PV structures is further clarified when stratifying by cloud band duration (Fig. <xref ref-type="fig" rid="F7"/>d). Long-lived (persistent) cloud band (<inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> d) exhibit a consistently higher fraction of connected upstream PV structures throughout their lifetime, including the period before genesis, compared to short-lived events (1–2 d). From lag <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> to lag <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, the upstream environment of future long-lived cloud bands is significantly more likely to contain a PV structure (a fraction of <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.88</mml:mn></mml:mrow></mml:math></inline-formula>) than that of short-lived events (<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.84</mml:mn></mml:mrow></mml:math></inline-formula>). The transitional (3 d) category consistently falls between these values, suggesting a coherent pattern where the fraction of connected PV structures scales with cloud band duration. At genesis (lag 0), this distinction persists, with 90 % of long-lived events coinciding with a PV structure, compared to 88 % for short-lived (transient) cloud bands. Post-genesis, the PV association for long-lived cloud bands rises to and remains above 95 % for several days, supporting the hypothesis that while the summer background state provides the necessary thermodynamic environment, sustained PV forcing is integral to maintaining cloud bands.</p>
      <p id="d2e1748">It is important to note a potential geometric issue regarding the fraction of connected events. Long-lived cloud bands often grow and expand to a larger size than short-lived cloud bands, thereby increasing the size of their upstream sector and increasing the statistical probability of intersecting a PV structure. Nevertheless, this geometric bias is largely counteracted by the fact that long-lived cloud bands occur at more equatorward latitudes where background PV structures are climatologically rarer. To ensure that our conclusions regarding sustained dynamical forcing are valid and not artefacts of the size of the search area, we subsequently evaluate the area-independent properties of these associated PV structures, namely their vertical depth and equatorward penetration.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e1753">Time-lagged horizontal composites of absolute PV depth anomalies (shading) and relative frequency of cloud band occurrence (contours) centred on the tracked cloud band centroid for positive lags and the genesis position for negative lags. The composites are stratified by cloud band duration: <bold>(a)</bold>–<bold>(b)</bold> short-lived cloud bands and <bold>(c)</bold>–<bold>(f)</bold> long-lived cloud bands. The PV anomalies are calculated as the daily PV depth minus the long-term climatological mean (1979–2021) based on a 21 d running mean of the daily average. Cloud band frequency contours are shown at intervals of 0.2, starting at 0.2. The reference frame moves with the cloud band centroid at each lag. The mean cloud band orientation angle (<inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>) is annotated in each panel with its standard error. The angle is measured such that 90° represents a purely zonal/East-West orientation and 0° represents North-South. Asterisks (<sup>*</sup>) indicate a statistically significant difference in orientation between short- and long-lived events at the 99 % confidence level (<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>) using a Welch's <inline-formula><mml:math id="M75" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>-test.</p></caption>
            <graphic xlink:href="https://wcd.copernicus.org/articles/7/857/2026/wcd-7-857-2026-f08.jpg"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS6.SSS2">
  <label>3.6.2</label><title>PV Depth and Latitudinal Position</title>
      <p id="d2e1818">Figure <xref ref-type="fig" rid="F7"/>b displays the vertical depth of PV structures upstream of cloud bands. Following a period of nearly constant PV vertical depth, a deepening occurs coincident with cloud band genesis. The median depth increases at lag <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> (to 2.4 levels) and rises further to 2.55 levels at lag <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>. Post-genesis, the median depth continues to increase for the surviving events, peaking at <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>+</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> (2.63 levels). This trend suggests that while genesis is associated with a deepening PV structure, the subsequent deepening is a feature of the longest-lived events (yellow stars in Fig. <xref ref-type="fig" rid="F7"/>a). Stratifying by duration (Fig. <xref ref-type="fig" rid="F7"/>e) provides further context. While PV structures associated with long-lived cloud bands exhibit a higher median depth one week before genesis (2.43 levels at lag <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula>) compared to transient events (2.33 levels), the depths converge as genesis approaches, becoming nearly identical at onset (both <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> levels). The most notable difference is that PV structures in long-lived events maintain and increase their depth post-genesis. It is worth noting that transitional cloud bands dissipate after the peak in PV structure depth.</p>
      <p id="d2e1880">Regarding the meridional extent of these PV intrusions (Fig. <xref ref-type="fig" rid="F7"/>c), the median of the most equatorward latitude of the upstream PV structure remains stable at approximately 25.5° S from lag <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> to lag <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>. An equatorward shift begins on the day before genesis (lag <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>), reaching 23.5° S at genesis (lag 0). Crucially, while short-lived events exhibit a rapid, deep intrusion immediately following genesis (reaching 22.5° S at lag <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>), this forcing is transient. In contrast, the equatorward intrusion for long-lived cloud bands is sustained, progressively reaching 22.0° S by lag <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>. The 90th percentile of the PV structures' most equatorward latitude ribbon further highlights the intensity of these intrusions; at genesis, 10 % of events are associated with PV structures penetrating to 16.0° S, extending to 15.5° S by lag <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>. This demonstrates that an important subset of cloud bands – likely clustered in the austral summer – is driven by deep intrusions of extratropical air into the tropics. Furthermore, long-lived cloud bands (Fig. <xref ref-type="fig" rid="F7"/>f) are distinguished by the latitudinal position of the PV structures. This configuration is established before genesis; at lag <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>, PV structures for long-lived cloud bands are already situated equatorward (24.5° S) of the peak latitude of transient events (26.0° S). This suggests that while short-lived events are driven by rapid, deep incursions of deep PV structures, long-lived cloud bands benefit from a favourable tropospheric environment where PV structures are already present at lower latitudes prior to genesis.</p>
</sec>
<sec id="Ch1.S3.SS6.SSS3">
  <label>3.6.3</label><title>Spatial Evolution</title>
      <p id="d2e1966">To visually corroborate these statistical findings (Sect. <xref ref-type="sec" rid="Ch1.S3.SS6.SSS2"/>), spatial composites of absolute PV depth anomalies and cloud band occurrence were tracked from genesis (lag 0) through the decay phase (lag <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula>) in Fig. <xref ref-type="fig" rid="F8"/>. At the time of genesis (lag 0) and the following day (lag <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>), the magnitude of the absolute PV depth anomaly (shown in red) is similar for the two categories of cloud bands. For long-lived events, the composites show that the positive PV depth anomaly in the upstream southwest sector is not a transient feature limited to the genesis stage. Instead, it remains a coherent, phase-locked structure that  evolves alongside the cloud band well into its decay. This sustained upper-level support is accompanied by a distinct spatial pattern. The cloud band orientation (<inline-formula><mml:math id="M90" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>) is found to be significantly more zonal for long-lived events (<inline-formula><mml:math id="M91" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> ranging from 55 to 58°, e.g., <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">58</mml:mn></mml:mrow></mml:math></inline-formula>° at lag <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>) than for the more meridionally tilted short-lived events (<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">52</mml:mn></mml:mrow></mml:math></inline-formula>° at genesis and 53.5° on the second day). This indicates that while short-lived cloud band events are associated with transient PV structures, long-lived cloud bands are associated with quasi-stationary PV structures that favour the zonally elongated shape of the cloud bands. Finally, it is worth noting that Fig. <xref ref-type="fig" rid="F8"/> captures classic Rossby wave packet dynamics, exhibiting a clear wave train signature characterised by alternating troughs and ridges.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusions</title>
      <p id="d2e2052">This study applies object-based algorithms for the identification of tropical–extratropical cloud bands and stratospheric potential vorticity (PV) structures to ERA5 reanalysis to clarify the influence of Rossby wave breaking on these cloud band characteristics over the South Pacific. We extend previous work by tracking cloud bands in time and by attributing these cloud bands to PV structures to elucidate the influence of extratropical forcing on the spatial distribution, seasonality, formation and maintenance of these cloud bands.</p>
      <p id="d2e2055">Our climatological analysis reveals that the spatial distribution of these features is not only aligned with the SPCZ, but also exhibits a statistically significant connection, confirming the critical role of these tropical–extratropical interactions in shaping  regional cloudiness. Categorizing cloud band events by duration highlights distinct seasonal regimes: while short-lived cloud bands occur year-round, driven by transient, rapid PV intrusions, long-lived cloud bands are strictly confined to the austral warm season. This seasonal confinement confirms that the maintenance of quasi-stationary tropical–extratropical cloud bands relies on the specific background state of the austral summer, characterized by the poleward excursion of the ITCZ and frequent intrusions of stratospheric PV into the tropical upper troposphere. The combination of this favourable thermodynamic environment with sustained upstream dynamic forcing allows for the maintenance of these systems over multiple days.</p>
      <p id="d2e2058">Mechanistically, our composites corroborate the established framework whereby cyclonic PV anomalies steer moisture poleward and eastward, facilitating convection and shaping the characteristic diagonal orientation of cloud bands in the SPCZ.</p>
      <p id="d2e2061">A key novel finding of this study is that the lifetime of cloud bands depends on the sustained presence of dynamic forcing. While the South Pacific is a climatologically favourable region for Rossby wave breaking, we show that long-lived cloud bands remain more consistently connected to upstream PV structures throughout their lifecycle. Furthermore, the initiation of these long-lived cloud band events requires – prior to cloud band genesis – PV structures that penetrate deep into the tropical upper troposphere. Our seasonal composites at genesis indicate that this specific structural configuration is tied to the seasonal background state. During winter (JJA), strong midlatitude forcing generates structurally similar genesis phases for both short- and long-lived cloud band events. However, under the reduced baroclinicity of austral summer (DJF), persistent, zonally oriented PV structures are instrumented for cloud bands to form. These characteristics facilitate the prolonged moisture transport and continuous diabatic feedback required to sustain the cloud band. The subsequent evolution reveals distinct dynamic regimes: short-lived events resemble rapid “bursts”, characterized by deep but transient PV structures extending into low latitudes and a significantly more meridional cloud band orientation. These cloud band events are quickly terminated by downstream ridging, which aligns closely with the wave-dissipation mechanism proposed by <xref ref-type="bibr" rid="bib1.bibx43" id="text.52"/>, wherein the intense diabatic heating of the newly formed SPCZ generates a strong anticyclonic tendency that destroys the incoming cyclonic wave. In contrast, long-lived cloud bands are maintained by quasi-stationary circulation patterns. In these persistent cases, the sustained upstream midlatitude forcing is sufficient to overcome the convection-induced negative feedback, thereby sustaining the tropical convection  and maintaining the tropical-extratropical connection over multiple days. This sustained interaction favours the development of larger, significantly more zonally extended cloud systems. This demonstrates that while Rossby wave breaking events facilitate cloud band genesis, sustained midlatitude forcing is necessary for maintaining cloud band systems over multiple days.</p>
      <p id="d2e2068">Nevertheless, a limitation of our methodology is that while cloud bands are tracked, the associated PV structures are identified based on instantaneous spatial collocation. Explicitly tracking the PV structures would allow for a finer distinction between cloud bands sustained by a single, persistent Rossby wave breaking event versus those maintained by a succession of breaking Rossby waves. Furthermore, such an approach would allow for a quantitative analysis of the co-evolution of the PV and cloud band and their respective orientations, confirming the dynamic linkage suggested by our spatial composites.</p>
      <p id="d2e2071">Building on this object-orientated framework provides a pathway to further investigate the coupling between these extratropical and tropical forcings, such as equatorial Rossby or Kelvin waves. Finally, expanding this analysis to longer timescales and assessing how these life cycles are modulated by the Madden–Julian Oscillation or the Interdecadal Pacific Oscillation offers a promising avenue to improve the understanding and predictability of hydro-meteorological characteristics of extremes in the South Pacific region.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title/>
<sec id="App1.Ch1.S1.SS1">
  <label>A1</label><title>Collocation Method between Deep Potential Vorticity Structures and Tropical-Extratropical Cloud Bands</title>
      <p id="d2e2092">The main manuscript introduces a collocation method between deep potential vorticity structures and tropical-extratropical cloud bands to find connections between the two features.</p>
      <p id="d2e2095">A connection between a tropical-extratropical cloud band and a PV structure is determined through the following steps. First, PV structures with bounding boxes overlapping the cloud band's bounding box are identified. Next, among these, PV structures whose centroid lies west of the cloud band's diagonal transect (see Fig. <xref ref-type="fig" rid="FA1"/>, area with hatching) are flagged as connected to the cloud band. If multiple PV structures meet the criterion, only one connection is counted to avoid overestimating connections.</p>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e2102">Daily snapshot of tropical-extratropical cloud bands (blue shading) and deep PV structures (orange shading) over the South Pacific on 21 January 2017. Green bounding boxes indicate overlapping cloud band and PV structure regions, while violet boxes show non-overlapping regions. The area with hatching represents the upstream sector for collocating PV structures. Diamond markers represent PV structure centroids, and crosses mark the cloud band centroid. Green centroids denote deep PV structures that satisfy both the overlap and “west-to-cloud-band's-transect” criteria, i.e., within the cloud band upstream sector. Note that deep PV structures smaller than 10 px are omitted from this figure for visual clarity, though they are fully included in the collocation analysis.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/857/2026/wcd-7-857-2026-f09.png"/>

        </fig>

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

      <p id="d2e2116">The ERA5 reanalysis data are publicly available from the Copernicus Climate Data Store <ext-link xlink:href="https://doi.org/10.24381/cds.adbb2d47" ext-link-type="DOI">10.24381/cds.adbb2d47</ext-link> <xref ref-type="bibr" rid="bib1.bibx16" id="paren.53"/>. The EM-DAT data are publicly available from the Emergency Events Database website <uri>https://www.emdat.be/</uri> (last access: 21 May 2026). The cloud band detection algorithm is available under a BSD 3-Clause License at <ext-link xlink:href="https://doi.org/10.5281/zenodo.14639920" ext-link-type="DOI">10.5281/zenodo.14639920</ext-link> <xref ref-type="bibr" rid="bib1.bibx32" id="paren.54"/>. The code used for the data analysis and the figures is available under an MIT license on Zenodo at <ext-link xlink:href="https://doi.org/10.5281/zenodo.19919573" ext-link-type="DOI">10.5281/zenodo.19919573</ext-link> (<xref ref-type="bibr" rid="bib1.bibx33" id="altparen.55"/>).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2144">RP designed the study. RP, AJDV and DD contributed to the interpretation of the results. RP performed all analyses and wrote the paper, based on discussions with and input from all co-authors; AJDV and DD provided critical feedback, reviewed and edited the manuscript until its final version. DD secured the funding.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e2150">At least one of the (co-)authors is a member of the editorial board of <italic>Weather and Climate Dynamics</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e2159">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e2165">Support from the Swiss National Science Foundation through project PP00P2_198896 to D.D. is gratefully acknowledged. A large language model was used for linguistic refinement and to speed up coding for plotting. We thank the two anonymous reviewers for their constructive comments, which helped improve the manuscript.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e2170">This research has been supported by the Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (grant no. PP00P2_198896).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e2176">This paper was edited by Shira Raveh-Rubin and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Allen et al.(2009)Allen, Vaughan, Brunner, T. May, Heyes, Minnis, and K. Ayers</label><mixed-citation>Allen, G., Vaughan, G., Brunner, D., T. May, P., Heyes, W., Minnis, P., and K. Ayers, J.: Modulation of tropical convection by breaking Rossby waves, Q. J. Roy. Meteorol. Soc., 135, 125–137, <ext-link xlink:href="https://doi.org/10.1002/qj.349" ext-link-type="DOI">10.1002/qj.349</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Appenzeller and Davies(1992)</label><mixed-citation>Appenzeller, C. and Davies, H. C.: Structure of stratospheric intrusions into the troposphere, Nature, 358, 570–572, <ext-link xlink:href="https://doi.org/10.1038/358570a0" ext-link-type="DOI">10.1038/358570a0</ext-link>, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Barnes et al.(2025)Barnes, Reeder, and Ndarana</label><mixed-citation>Barnes, M. A., Reeder, M. J., and Ndarana, T.: Rossby Wave Breaking Morphologies on the Southern Hemisphere Dynamical Tropopause, J. Climate, 38, 4825–4844, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-24-0461.1" ext-link-type="DOI">10.1175/JCLI-D-24-0461.1</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Black et al.(2021)Black, Risbey, Chapman, Monselesan, II, Pook, Richardson, Sloyan, Squire, and Tozer</label><mixed-citation>Black, A. S., Risbey, J. S., Chapman, C. C., Monselesan, D. P., II, T. S. M., Pook, M. J., Richardson, D., Sloyan, B. M., Squire, D. T., and Tozer, C. R.: Australian Northwest Cloudbands and Their Relationship to Atmospheric Rivers and Precipitation, Mon. Weather Rev., 149, 1125–1139, <ext-link xlink:href="https://doi.org/10.1175/MWR-D-20-0308.1" ext-link-type="DOI">10.1175/MWR-D-20-0308.1</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Brown et al.(2020)Brown, Lengaigne, Lintner, Widlansky, van der Wiel, Dutheil, Linsley, Matthews, and Renwick</label><mixed-citation>Brown, J. R., Lengaigne, M., Lintner, B. R., Widlansky, M. J., van der Wiel, K., Dutheil, C., Linsley, B. K., Matthews, A. J., and Renwick, J.: South Pacific Convergence Zone dynamics, variability and impacts in a changing climate, Nat. Rev. Earth Environ., 1, 530–543, <ext-link xlink:href="https://doi.org/10.1038/s43017-020-0078-2" ext-link-type="DOI">10.1038/s43017-020-0078-2</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>de Vries et al.(2016)de Vries, Feldstein, Riemer, Tyrlis, Sprenger, Baumgart, Fnais, and Lelieveld</label><mixed-citation>de Vries, A. J., Feldstein, S. B., Riemer, M., Tyrlis, E., Sprenger, M., Baumgart, M., Fnais, M., and Lelieveld, J.: Dynamics of tropical–extratropical interactions and extreme precipitation events in Saudi Arabia in autumn, winter and spring, Q. J. Roy. Meteorol. Soc., 142, 1862–1880, <ext-link xlink:href="https://doi.org/10.1002/qj.2781" ext-link-type="DOI">10.1002/qj.2781</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>de Vries et al.(2018)de Vries, Ouwersloot, Feldstein, Riemer, El Kenawy, McCabe, and Lelieveld</label><mixed-citation>de Vries, A. J., Ouwersloot, H. G., Feldstein, S. B., Riemer, M., El Kenawy, A. M., McCabe, M. F., and Lelieveld, J.: Identification of Tropical-Extratropical Interactions and Extreme Precipitation Events in the Middle East Based On Potential Vorticity and Moisture Transport, J. Geophys. Res.-Atmos., 123, 861–881, <ext-link xlink:href="https://doi.org/10.1002/2017JD027587" ext-link-type="DOI">10.1002/2017JD027587</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>de Vries et al.(2024)de Vries, Armon, Klingmüller, Portmann, Röthlisberger, and Domeisen</label><mixed-citation>de Vries, A. J., Armon, M., Klingmüller, K., Portmann, R., Röthlisberger, M., and Domeisen, D. I. V.: Breaking Rossby waves drive extreme precipitation in the world's arid regions, Commun. Earth Environ., 5, 493, <ext-link xlink:href="https://doi.org/10.1038/s43247-024-01633-y" ext-link-type="DOI">10.1038/s43247-024-01633-y</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Delforge et al.(2024)Delforge, Wathelet, Below, Lanfredi Sofia, Tonnelier, van Loenhout, and Speybroeck</label><mixed-citation>Delforge, D., Wathelet, V., Below, R., Lanfredi Sofia, C., Tonnelier, M., van Loenhout, J. A. F., and Speybroeck, N.: The EM-DAT Emergency Events Database Archive, Open Data @ UCLouvain [data set], <ext-link xlink:href="https://doi.org/10.14428/DVN/I0LTPH" ext-link-type="DOI">10.14428/DVN/I0LTPH</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Fröhlich and Knippertz(2008)</label><mixed-citation>Fröhlich, L. and Knippertz, P.: Identification and global climatology of upper-level troughs at low latitudes, Meteorol. Z., 17, 565–573, <ext-link xlink:href="https://doi.org/10.1127/0941-2948/2008/0320" ext-link-type="DOI">10.1127/0941-2948/2008/0320</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Fröhlich et al.(2013)Fröhlich, Knippertz, Fink, and Hohberger</label><mixed-citation>Fröhlich, L., Knippertz, P., Fink, A. H., and Hohberger, E.: An Objective Climatology of Tropical Plumes, J. Climate, 26, 5044–5060, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-12-00351.1" ext-link-type="DOI">10.1175/JCLI-D-12-00351.1</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Funatsu and Waugh(2008)</label><mixed-citation>Funatsu, B. M. and Waugh, D. W.: Connections between Potential Vorticity Intrusions and Convection in the Eastern Tropical Pacific, J. Atmos. Sci., 65, 987–1002, <ext-link xlink:href="https://doi.org/10.1175/2007JAS2248.1" ext-link-type="DOI">10.1175/2007JAS2248.1</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Griffiths et al.(2003)Griffiths, Salinger, and Leleu</label><mixed-citation>Griffiths, G. M., Salinger, M. J., and Leleu, I.: Trends in extreme daily rainfall across the South Pacific and relationship to the South Pacific Convergence Zone, Int. J. Climatol., 23, 847–869, <ext-link xlink:href="https://doi.org/10.1002/joc.923" ext-link-type="DOI">10.1002/joc.923</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Hart et al.(2013)Hart, Reason, and Fauchereau</label><mixed-citation>Hart, N. C. G., Reason, C. J. C., and Fauchereau, N.: Cloud bands over southern Africa: seasonality, contribution to rainfall variability and modulation by the MJO, Clim. Dynam., 41, 1199–1212, <ext-link xlink:href="https://doi.org/10.1007/s00382-012-1589-4" ext-link-type="DOI">10.1007/s00382-012-1589-4</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Hart and Grumm(2001)</label><mixed-citation>Hart, R. E. and Grumm, R. H.: Using Normalized Climatological Anomalies to Rank Synoptic-Scale Events Objectively, Mon. Weather Rev., 129, 2426–2442, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(2001)129&lt;2426:UNCATR&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(2001)129&lt;2426:UNCATR&gt;2.0.CO;2</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Hersbach et al.(2018)Hersbach, Bell, Berrisford, Biavati, Horányi, Muñoz Sabater, Nicolas, Peubey, Radu, Rozum, Schepers, Simmons, Soci, Dee, and Thépaut</label><mixed-citation>Hersbach, H., Bell, B., Berrisford, P., Biavati, G., Horányi, A., Muñoz Sabater, J., Nicolas, J., Peubey, C., Radu, R., Rozum, I., Schepers, D., Simmons, A., Soci, C., Dee, D., and Thépaut, J.-N.: ERA5 hourly data on single levels from 1940 to present, Copernicus Climate Change Service (C3S) Climate Data Store (CDS) [data set], <ext-link xlink:href="https://doi.org/10.24381/cds.adbb2d47" ext-link-type="DOI">10.24381/cds.adbb2d47</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Hersbach et al.(2020)Hersbach, Bell, Berrisford, Hirahara, Horányi, Muñoz-Sabater, Nicolas, Peubey, Radu, Schepers, Simmons, Soci, Abdalla, Abellan, Balsamo, Bechtold, Biavati, Bidlot, Bonavita, De Chiara, Dahlgren, Dee, Diamantakis, Dragani, Flemming, Forbes, Fuentes, Geer, Haimberger, Healy, Hogan, Hólm, Janisková, Keeley, Laloyaux, Lopez, Lupu, Radnoti, de Rosnay, Rozum, Vamborg, Villaume, and Thépaut</label><mixed-citation>Hersbach, H., Bell, B., Berrisford, P., Hirahara, S., Horányi, A., Muñoz-Sabater, J., Nicolas, J., Peubey, C., Radu, R., Schepers, D., Simmons, A., Soci, C., Abdalla, S., Abellan, X., Balsamo, G., Bechtold, P., Biavati, G., Bidlot, J., Bonavita, M., De Chiara, G., Dahlgren, P., Dee, D., Diamantakis, M., Dragani, R., Flemming, J., Forbes, R., Fuentes, M., Geer, A., Haimberger, L., Healy, S., Hogan, R. J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., de Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J.-N.: The ERA5 global reanalysis, Q. J. Roy. Meteorol. Soc., 146, 1999–2049, <ext-link xlink:href="https://doi.org/10.1002/qj.3803" ext-link-type="DOI">10.1002/qj.3803</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Kiladis(1998)</label><mixed-citation>Kiladis, G. N.: Observations of Rossby Waves Linked to Convection over the Eastern Tropical Pacific, J. Atmos. Sci., 55, 321–339, <ext-link xlink:href="https://doi.org/10.1175/1520-0469(1998)055&lt;0321:OORWLT&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0469(1998)055&lt;0321:OORWLT&gt;2.0.CO;2</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Kiladis and Weickmann(1992)</label><mixed-citation>Kiladis, G. N. and Weickmann, K. M.: Extratropical Forcing of Tropical Pacific Convection during Northern Winter, Mon. Weather Rev., 120, 1924–1939, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(1992)120&lt;1924:EFOTPC&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(1992)120&lt;1924:EFOTPC&gt;2.0.CO;2</ext-link>, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Knippertz(2007)</label><mixed-citation>Knippertz, P.: Tropical–extratropical interactions related to upper-level  troughs at low latitudes, Dynam. Atmos. Oceans, 43, 36–62,  <ext-link xlink:href="https://doi.org/10.1016/j.dynatmoce.2006.06.003" ext-link-type="DOI">10.1016/j.dynatmoce.2006.06.003</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Knippertz and Martin(2005)</label><mixed-citation>Knippertz, P. and Martin, J. E.: Tropical plumes and extreme precipitation in subtropical and tropical West Africa, Q. J. Roy. Meteorol. Soc., 131, 2337–2365, <ext-link xlink:href="https://doi.org/10.1256/qj.04.148" ext-link-type="DOI">10.1256/qj.04.148</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Kodama(1992)</label><mixed-citation>Kodama, Y.: Large-Scale Common Features of Subtropical Precipitation Zones (the Baiu Frontal Zone, the SPCZ, and the SACZ) Part I: Characteristics of Subtropical Frontal Zones, J. Meteorol. Soc. JPN Ser. II, 70, 813–836, <ext-link xlink:href="https://doi.org/10.2151/jmsj1965.70.4_813" ext-link-type="DOI">10.2151/jmsj1965.70.4_813</ext-link>, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Kumar et al.(2006)Kumar, Deo, and Ramachandran</label><mixed-citation>Kumar, V. V., Deo, R. C., and Ramachandran, V.: Total rain accumulation and rain-rate analysis for small tropical Pacific islands: a case study of Suva, Fiji, Atmos. Sci. Lett., 7, 53–58, <ext-link xlink:href="https://doi.org/10.1002/asl.131" ext-link-type="DOI">10.1002/asl.131</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Lorrey et al.(2012)Lorrey, Dalu, Renwick, Diamond, and Gaetani</label><mixed-citation>Lorrey, A., Dalu, G., Renwick, J., Diamond, H., and Gaetani, M.: Reconstructing the South Pacific Convergence Zone Position during the Presatellite Era: A La Niña Case Study, Mon. Weather Rev., 140, 3653–3668, <ext-link xlink:href="https://doi.org/10.1175/MWR-D-11-00228.1" ext-link-type="DOI">10.1175/MWR-D-11-00228.1</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Matthews(2012)</label><mixed-citation>Matthews, A. J.: A multiscale framework for the origin and variability of the South Pacific Convergence Zone, Q. J. Roy. Meteorol. Soc., 138, 1165–1178, <ext-link xlink:href="https://doi.org/10.1002/qj.1870" ext-link-type="DOI">10.1002/qj.1870</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Matthews et al.(1996)Matthews, Hoskins, Slingo, and Blackburn</label><mixed-citation>Matthews, A. J., Hoskins, B. J., Slingo, J. M., and Blackburn, M.: Development of convection along the SPCZ within a Madden-Julian oscillation, Q. J. Roy. Meteorol. Soc., 122, 669–688, <ext-link xlink:href="https://doi.org/10.1002/qj.49712253106" ext-link-type="DOI">10.1002/qj.49712253106</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>McIntyre and Palmer(1983)</label><mixed-citation>McIntyre, M. E. and Palmer, T. N.: Breaking planetary waves in the stratosphere, Nature, 305, 593–600, <ext-link xlink:href="https://doi.org/10.1038/305593a0" ext-link-type="DOI">10.1038/305593a0</ext-link>, 1983.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Murthy and Boos(2019)</label><mixed-citation>Murthy, V. S. and Boos, W. R.: Understanding the vertical structure of  potential vorticity in tropical depressions, Q. J. Roy. Meteorol. Soc., 145, 1968–1991, <ext-link xlink:href="https://doi.org/10.1002/qj.3539" ext-link-type="DOI">10.1002/qj.3539</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Niznik et al.(2015)Niznik, Lintner, Matthews, and Widlansky</label><mixed-citation>Niznik, M., Lintner, B. R., Matthews, A. J., and Widlansky, M. J.: The Role of Tropical–Extratropical Interaction and Synoptic Variability in Maintaining the South Pacific Convergence Zone in CMIP5 Models, J. Climate, 28, 3353 – 3374, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-14-00527.1" ext-link-type="DOI">10.1175/JCLI-D-14-00527.1</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Oertel et al.(2020)Oertel, Boettcher, Joos, Sprenger, and Wernli</label><mixed-citation>Oertel, A., Boettcher, M., Joos, H., Sprenger, M., and Wernli, H.: Potential vorticity structure of embedded convection in a warm conveyor belt and its relevance for large-scale dynamics, Weather Clim. Dynam., 1, 127–153, <ext-link xlink:href="https://doi.org/10.5194/wcd-1-127-2020" ext-link-type="DOI">10.5194/wcd-1-127-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Peters and Waugh(1996)</label><mixed-citation>Peters, D. and Waugh, D. W.: Influence of Barotropic Shear on the Poleward Advection of Upper-Tropospheric Air, J. Atmos. Sci., 53, 3013–3031, <ext-link xlink:href="https://doi.org/10.1175/1520-0469(1996)053&lt;3013:IOBSOT&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0469(1996)053&lt;3013:IOBSOT&gt;2.0.CO;2</ext-link>, 1996.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Pilon(2025)</label><mixed-citation>Pilon, R.: romainpilon/cloudbandPy: v1.2.2 - Bug Fix, Version v1.2.2, Zenodo [code], <ext-link xlink:href="https://doi.org/10.5281/zenodo.14639920" ext-link-type="DOI">10.5281/zenodo.14639920</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Pilon(2026)</label><mixed-citation>Pilon, R.: Supporting Files for The Role of Rossby Wave Breaking in the Formation and Maintenance of Tropical-Extratropical Cloud Bands over the South Pacific, Zenodo [code], <ext-link xlink:href="https://doi.org/10.5281/zenodo.19919573" ext-link-type="DOI">10.5281/zenodo.19919573</ext-link>, 2026.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Pilon and Domeisen(2024)</label><mixed-citation>Pilon, R. and Domeisen, D. I. V.: cloudbandPy 1.0: an automated algorithm for the detection of tropical–extratropical cloud bands, Geosci. Model Dev., 17, 2247–2264, <ext-link xlink:href="https://doi.org/10.5194/gmd-17-2247-2024" ext-link-type="DOI">10.5194/gmd-17-2247-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Portmann et al.(2021)Portmann, Sprenger, and Wernli</label><mixed-citation>Portmann, R., Sprenger, M., and Wernli, H.: The three-dimensional life cycles of potential vorticity cutoffs: a global and selected regional climatologies in ERA-Interim (1979–2018), Weather Clim. Dynam., 2, 507–534, <ext-link xlink:href="https://doi.org/10.5194/wcd-2-507-2021" ext-link-type="DOI">10.5194/wcd-2-507-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Rosa et al.(2020)Rosa, Pezzi, Quadro, and Brunsell</label><mixed-citation>Rosa, E. B., Pezzi, L. P., Quadro, M. F. L. d., and Brunsell, N.: Automated Detection Algorithm for SACZ, Oceanic SACZ, and Their Climatological Features, Front. Environ. Sci., 8, <ext-link xlink:href="https://doi.org/10.3389/fenvs.2020.00018" ext-link-type="DOI">10.3389/fenvs.2020.00018</ext-link>, original Research, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Sagero et al.(2024)Sagero, Pratap, Magiri, Ongoma, and Okello</label><mixed-citation>Sagero, P. O., Pratap, A., Magiri, R., Ongoma, V., and Okello, P.: Validation of ERA5 rainfall data over the South Pacific Region: case study of Fiji Islands, Meteorol. Atmos. Phys., 136, 28, <ext-link xlink:href="https://doi.org/10.1007/s00703-024-01025-z" ext-link-type="DOI">10.1007/s00703-024-01025-z</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Stan et al.(2017)Stan, Straus, Frederiksen, Lin, Maloney, and Schumacher</label><mixed-citation>Stan, C., Straus, D. M., Frederiksen, J. S., Lin, H., Maloney, E. D., and Schumacher, C.: Review of Tropical-Extratropical Teleconnections on Intraseasonal Time Scales, Rev. Geophys., 55, 902–937, <ext-link xlink:href="https://doi.org/10.1002/2016RG000538" ext-link-type="DOI">10.1002/2016RG000538</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Takahashi and Battisti(2007)</label><mixed-citation>Takahashi, K. and Battisti, D. S.: Processes Controlling the Mean Tropical Pacific Precipitation Pattern. Part II: The SPCZ and the Southeast Pacific Dry Zone, J. Climate, 20, 5696–5706, <ext-link xlink:href="https://doi.org/10.1175/2007JCLI1656.1" ext-link-type="DOI">10.1175/2007JCLI1656.1</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Telcik and Pattiaratchi(2014)</label><mixed-citation>Telcik, N. and Pattiaratchi, C.: Influence of Northwest Cloudbands on Southwest Australian Rainfall, J. Climatology (Cairo), 2014, 671394, <ext-link xlink:href="https://doi.org/10.1155/2014/671394" ext-link-type="DOI">10.1155/2014/671394</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Thorncroft et al.(1993)Thorncroft, Hoskins, and McIntyre</label><mixed-citation>Thorncroft, C. D., Hoskins, B. J., and McIntyre, M. E.: Two paradigms of baroclinic-wave life-cycle behaviour, Q. J. Roy. Meteorol. Soc., 119, 17–55, <ext-link xlink:href="https://doi.org/10.1002/qj.49711950903" ext-link-type="DOI">10.1002/qj.49711950903</ext-link>, 1993.</mixed-citation></ref>
      <ref id="bib1.bibx42"><label>Tubi and Dayan(2014)</label><mixed-citation>Tubi, A. and Dayan, U.: Tropical Plumes over the Middle East: Climatology and synoptic conditions, Atmos. Res., 145-146, 168–181, <ext-link xlink:href="https://doi.org/10.1016/j.atmosres.2014.03.028" ext-link-type="DOI">10.1016/j.atmosres.2014.03.028</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx43"><label>van der Wiel et al.(2015)van der Wiel, Matthews, Stevens, and Joshi</label><mixed-citation>van der Wiel, K., Matthews, A. J., Stevens, D. P., and Joshi, M. M.: A dynamical framework for the origin of the diagonal South Pacific and South Atlantic Convergence Zones, Q. J. Roy. Meteorol.   Soc., 141, 1997–2010, <ext-link xlink:href="https://doi.org/10.1002/qj.2508" ext-link-type="DOI">10.1002/qj.2508</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>van der Wiel et al.(2016)van der Wiel, Matthews, Joshi, and Stevens</label><mixed-citation>van der Wiel, K., Matthews, A. J., Joshi, M. M., and Stevens, D. P.: Why the South Pacific Convergence Zone is diagonal, Clima. Dynam., 46, 1683–1698, <ext-link xlink:href="https://doi.org/10.1007/s00382-015-2668-0" ext-link-type="DOI">10.1007/s00382-015-2668-0</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx45"><label>Vincent(1994)</label><mixed-citation>Vincent, D. G.: The South Pacific Convergence Zone (SPCZ): A Review, Mon. Weather Rev., 122, 1949–1970, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(1994)122&lt;1949:TSPCZA&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(1994)122&lt;1949:TSPCZA&gt;2.0.CO;2</ext-link>, 1994.</mixed-citation></ref>
      <ref id="bib1.bibx46"><label>Waugh and Funatsu(2003)</label><mixed-citation>Waugh, D. W. and Funatsu, B. M.: Intrusions into the Tropical Upper Troposphere: Three-Dimensional Structure and Accompanying Ozone and OLR Distributions, J. Atmos. Sci., 60, 637–653, <ext-link xlink:href="https://doi.org/10.1175/1520-0469(2003)060&lt;0637:IITTUT&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0469(2003)060&lt;0637:IITTUT&gt;2.0.CO;2</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx47"><label>Waugh and Polvani(2000)</label><mixed-citation>Waugh, D. W. and Polvani, L. M.: Climatology of intrusions into the tropical upper troposphere, Geophys. Res. Lett., 27, 3857–3860, <ext-link xlink:href="https://doi.org/10.1029/2000GL012250" ext-link-type="DOI">10.1029/2000GL012250</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bibx48"><label>Webster and Holton(1982)</label><mixed-citation>Webster, P. J. and Holton, J. R.: Cross-Equatorial Response to Middle-Latitude Forcing in a Zonally Varying Basic State, J. Atmos. Sci., 39, 722–733, <ext-link xlink:href="https://doi.org/10.1175/1520-0469(1982)039&lt;0722:CERTML&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0469(1982)039&lt;0722:CERTML&gt;2.0.CO;2</ext-link>, 1982. </mixed-citation></ref>
      <ref id="bib1.bibx49"><label>Wernli and Sprenger(2007)</label><mixed-citation>Wernli, H. and Sprenger, M.: Identification and ERA-15 Climatology of Potential Vorticity Streamers and Cutoffs near the Extratropical Tropopause, J. Atmos. Sci., 64, 1569–1586, <ext-link xlink:href="https://doi.org/10.1175/JAS3912.1" ext-link-type="DOI">10.1175/JAS3912.1</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx50"><label>Widlansky et al.(2011)Widlansky, Webster, and Hoyos</label><mixed-citation>Widlansky, M. J., Webster, P. J., and Hoyos, C. D.: On the location and orientation of the South Pacific Convergence Zone, Clim. Dynam., 36, 561–578, <ext-link xlink:href="https://doi.org/10.1007/s00382-010-0871-6" ext-link-type="DOI">10.1007/s00382-010-0871-6</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx51"><label>Zilli and Hart(2021)</label><mixed-citation>Zilli, M. T. and Hart, N. C. G.: Rossby Wave Dynamics over South America Explored with Automatic Tropical–Extratropical Cloud Band Identification Framework, J. Climate, 34, 8125–8144, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-21-0020.1" ext-link-type="DOI">10.1175/JCLI-D-21-0020.1</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx52"><label>Zilli et al.(2023)Zilli, Hart, Coelho, Chadwick, de Souza, Kubota, Figueroa, and Cavalcanti</label><mixed-citation>Zilli, M. T., Hart, N. C. G., Coelho, C. A. S., Chadwick, R., de Souza, D. C., Kubota, P. Y., Figueroa, S. N., and Cavalcanti, I. F. A.: Characteristics of tropical–extratropical cloud bands over tropical and subtropical South America simulated by BAM-1.2 and HadGEM3-GC3.1, Q. J. Roy. Meteorol. Soc., 149, 1498–1519, <ext-link xlink:href="https://doi.org/10.1002/qj.4470" ext-link-type="DOI">10.1002/qj.4470</ext-link>, 2023.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>The role of Rossby wave breaking in the formation and maintenance of tropical-extratropical cloud bands over the South Pacific</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Allen et al.(2009)Allen, Vaughan, Brunner, T. May, Heyes, Minnis, and
K. Ayers</label><mixed-citation>
      
Allen, G., Vaughan, G., Brunner, D., T. May, P., Heyes, W., Minnis, P., and
K. Ayers, J.: Modulation of tropical convection by breaking Rossby waves,
Q. J. Roy. Meteorol. Soc., 135, 125–137,
<a href="https://doi.org/10.1002/qj.349" target="_blank">https://doi.org/10.1002/qj.349</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Appenzeller and Davies(1992)</label><mixed-citation>
      
Appenzeller, C. and Davies, H. C.: Structure of stratospheric intrusions into
the troposphere, Nature, 358, 570–572, <a href="https://doi.org/10.1038/358570a0" target="_blank">https://doi.org/10.1038/358570a0</a>, 1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Barnes et al.(2025)Barnes, Reeder, and Ndarana</label><mixed-citation>
      
Barnes, M. A., Reeder, M. J., and Ndarana, T.: Rossby Wave Breaking
Morphologies on the Southern Hemisphere Dynamical Tropopause, J.
Climate, 38, 4825–4844, <a href="https://doi.org/10.1175/JCLI-D-24-0461.1" target="_blank">https://doi.org/10.1175/JCLI-D-24-0461.1</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Black et al.(2021)Black, Risbey, Chapman, Monselesan, II, Pook,
Richardson, Sloyan, Squire, and Tozer</label><mixed-citation>
      
Black, A. S., Risbey, J. S., Chapman, C. C., Monselesan, D. P., II, T. S. M.,
Pook, M. J., Richardson, D., Sloyan, B. M., Squire, D. T., and Tozer, C. R.:
Australian Northwest Cloudbands and Their Relationship to Atmospheric Rivers
and Precipitation, Mon. Weather Rev., 149, 1125–1139,
<a href="https://doi.org/10.1175/MWR-D-20-0308.1" target="_blank">https://doi.org/10.1175/MWR-D-20-0308.1</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Brown et al.(2020)Brown, Lengaigne, Lintner, Widlansky, van der Wiel,
Dutheil, Linsley, Matthews, and Renwick</label><mixed-citation>
      
Brown, J. R., Lengaigne, M., Lintner, B. R., Widlansky, M. J., van der Wiel,
K., Dutheil, C., Linsley, B. K., Matthews, A. J., and Renwick, J.: South
Pacific Convergence Zone dynamics, variability and impacts in a changing
climate, Nat. Rev. Earth Environ., 1, 530–543,
<a href="https://doi.org/10.1038/s43017-020-0078-2" target="_blank">https://doi.org/10.1038/s43017-020-0078-2</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>de Vries et al.(2016)de Vries, Feldstein, Riemer, Tyrlis, Sprenger,
Baumgart, Fnais, and Lelieveld</label><mixed-citation>
      
de Vries, A. J., Feldstein, S. B., Riemer, M., Tyrlis, E., Sprenger, M.,
Baumgart, M., Fnais, M., and Lelieveld, J.: Dynamics of
tropical–extratropical interactions and extreme precipitation events in
Saudi Arabia in autumn, winter and spring, Q. J. Roy.
Meteorol. Soc., 142, 1862–1880,
<a href="https://doi.org/10.1002/qj.2781" target="_blank">https://doi.org/10.1002/qj.2781</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>de Vries et al.(2018)de Vries, Ouwersloot, Feldstein, Riemer,
El Kenawy, McCabe, and Lelieveld</label><mixed-citation>
      
de Vries, A. J., Ouwersloot, H. G., Feldstein, S. B., Riemer, M., El Kenawy,
A. M., McCabe, M. F., and Lelieveld, J.: Identification of
Tropical-Extratropical Interactions and Extreme Precipitation Events in the
Middle East Based On Potential Vorticity and Moisture Transport, J.
Geophys. Res.-Atmos., 123, 861–881,
<a href="https://doi.org/10.1002/2017JD027587" target="_blank">https://doi.org/10.1002/2017JD027587</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>de Vries et al.(2024)de Vries, Armon, Klingmüller, Portmann,
Röthlisberger, and Domeisen</label><mixed-citation>
      
de Vries, A. J., Armon, M., Klingmüller, K., Portmann, R.,
Röthlisberger, M., and Domeisen, D. I. V.: Breaking Rossby waves drive
extreme precipitation in the world's arid regions, Commun. Earth
Environ., 5, 493, <a href="https://doi.org/10.1038/s43247-024-01633-y" target="_blank">https://doi.org/10.1038/s43247-024-01633-y</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Delforge et al.(2024)Delforge, Wathelet, Below, Lanfredi Sofia,
Tonnelier, van Loenhout, and Speybroeck</label><mixed-citation>
      
Delforge, D., Wathelet, V., Below, R., Lanfredi Sofia, C., Tonnelier, M., van
Loenhout, J. A. F., and Speybroeck, N.: The EM-DAT Emergency Events Database
Archive, Open Data @ UCLouvain [data set], <a href="https://doi.org/10.14428/DVN/I0LTPH" target="_blank">https://doi.org/10.14428/DVN/I0LTPH</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Fröhlich and Knippertz(2008)</label><mixed-citation>
      
Fröhlich, L. and Knippertz, P.: Identification and global climatology of
upper-level troughs at low latitudes, Meteorol. Z., 17,
565–573, <a href="https://doi.org/10.1127/0941-2948/2008/0320" target="_blank">https://doi.org/10.1127/0941-2948/2008/0320</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Fröhlich et al.(2013)Fröhlich, Knippertz, Fink, and
Hohberger</label><mixed-citation>
      
Fröhlich, L., Knippertz, P., Fink, A. H., and Hohberger, E.: An Objective
Climatology of Tropical Plumes, J. Climate, 26, 5044–5060,
<a href="https://doi.org/10.1175/JCLI-D-12-00351.1" target="_blank">https://doi.org/10.1175/JCLI-D-12-00351.1</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Funatsu and Waugh(2008)</label><mixed-citation>
      
Funatsu, B. M. and Waugh, D. W.: Connections between Potential Vorticity
Intrusions and Convection in the Eastern Tropical Pacific, J.
Atmos. Sci., 65, 987–1002, <a href="https://doi.org/10.1175/2007JAS2248.1" target="_blank">https://doi.org/10.1175/2007JAS2248.1</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Griffiths et al.(2003)Griffiths, Salinger, and Leleu</label><mixed-citation>
      
Griffiths, G. M., Salinger, M. J., and Leleu, I.: Trends in extreme daily
rainfall across the South Pacific and relationship to the South Pacific
Convergence Zone, Int. J. Climatol., 23, 847–869,
<a href="https://doi.org/10.1002/joc.923" target="_blank">https://doi.org/10.1002/joc.923</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Hart et al.(2013)Hart, Reason, and Fauchereau</label><mixed-citation>
      
Hart, N. C. G., Reason, C. J. C., and Fauchereau, N.: Cloud bands over southern
Africa: seasonality, contribution to rainfall variability and modulation by
the MJO, Clim. Dynam., 41, 1199–1212, <a href="https://doi.org/10.1007/s00382-012-1589-4" target="_blank">https://doi.org/10.1007/s00382-012-1589-4</a>,
2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Hart and Grumm(2001)</label><mixed-citation>
      
Hart, R. E. and Grumm, R. H.: Using Normalized Climatological Anomalies to Rank
Synoptic-Scale Events Objectively, Mon. Weather Rev., 129, 2426–2442,
<a href="https://doi.org/10.1175/1520-0493(2001)129&lt;2426:UNCATR&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(2001)129&lt;2426:UNCATR&gt;2.0.CO;2</a>, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Hersbach et al.(2018)Hersbach, Bell, Berrisford, Biavati, Horányi,
Muñoz Sabater, Nicolas, Peubey, Radu, Rozum, Schepers, Simmons, Soci, Dee,
and Thépaut</label><mixed-citation>
      
Hersbach, H., Bell, B., Berrisford, P., Biavati, G., Horányi, A.,
Muñoz Sabater, J., Nicolas, J., Peubey, C., Radu, R., Rozum, I., Schepers,
D., Simmons, A., Soci, C., Dee, D., and Thépaut, J.-N.: ERA5 hourly data on
single levels from 1940 to present, Copernicus Climate Change Service (C3S)
Climate Data Store (CDS) [data set], <a href="https://doi.org/10.24381/cds.adbb2d47" target="_blank">https://doi.org/10.24381/cds.adbb2d47</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Hersbach et al.(2020)Hersbach, Bell, Berrisford, Hirahara, Horányi,
Muñoz-Sabater, Nicolas, Peubey, Radu, Schepers, Simmons, Soci, Abdalla,
Abellan, Balsamo, Bechtold, Biavati, Bidlot, Bonavita, De Chiara, Dahlgren,
Dee, Diamantakis, Dragani, Flemming, Forbes, Fuentes, Geer, Haimberger,
Healy, Hogan, Hólm, Janisková, Keeley, Laloyaux, Lopez, Lupu, Radnoti,
de Rosnay, Rozum, Vamborg, Villaume, and Thépaut</label><mixed-citation>
      
Hersbach, H., Bell, B., Berrisford, P., Hirahara, S., Horányi, A.,
Muñoz-Sabater, J., Nicolas, J., Peubey, C., Radu, R., Schepers, D., Simmons,
A., Soci, C., Abdalla, S., Abellan, X., Balsamo, G., Bechtold, P., Biavati,
G., Bidlot, J., Bonavita, M., De Chiara, G., Dahlgren, P., Dee, D.,
Diamantakis, M., Dragani, R., Flemming, J., Forbes, R., Fuentes, M., Geer,
A., Haimberger, L., Healy, S., Hogan, R. J., Hólm, E., Janisková, M.,
Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., de Rosnay, P.,
Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J.-N.: The ERA5 global
reanalysis, Q. J. Roy. Meteorol. Soc., 146,
1999–2049, <a href="https://doi.org/10.1002/qj.3803" target="_blank">https://doi.org/10.1002/qj.3803</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Kiladis(1998)</label><mixed-citation>
      
Kiladis, G. N.: Observations of Rossby Waves Linked to Convection over the
Eastern Tropical Pacific, J. Atmos. Sci., 55, 321–339,
<a href="https://doi.org/10.1175/1520-0469(1998)055&lt;0321:OORWLT&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0469(1998)055&lt;0321:OORWLT&gt;2.0.CO;2</a>, 1998.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Kiladis and Weickmann(1992)</label><mixed-citation>
      
Kiladis, G. N. and Weickmann, K. M.: Extratropical Forcing of Tropical Pacific
Convection during Northern Winter, Mon. Weather Rev., 120, 1924–1939,
<a href="https://doi.org/10.1175/1520-0493(1992)120&lt;1924:EFOTPC&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(1992)120&lt;1924:EFOTPC&gt;2.0.CO;2</a>, 1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Knippertz(2007)</label><mixed-citation>
      
Knippertz, P.: Tropical–extratropical interactions related to upper-level  troughs at low latitudes, Dynam. Atmos. Oceans, 43, 36–62,  <a href="https://doi.org/10.1016/j.dynatmoce.2006.06.003" target="_blank">https://doi.org/10.1016/j.dynatmoce.2006.06.003</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Knippertz and Martin(2005)</label><mixed-citation>
      
Knippertz, P. and Martin, J. E.: Tropical plumes and extreme precipitation in
subtropical and tropical West Africa, Q. J. Roy.
Meteorol. Soc., 131, 2337–2365,
<a href="https://doi.org/10.1256/qj.04.148" target="_blank">https://doi.org/10.1256/qj.04.148</a>, 2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Kodama(1992)</label><mixed-citation>
      
Kodama, Y.: Large-Scale Common Features of Subtropical Precipitation Zones
(the Baiu Frontal Zone, the SPCZ, and the SACZ) Part I: Characteristics of
Subtropical Frontal Zones, J. Meteorol. Soc. JPN
Ser. II, 70, 813–836, <a href="https://doi.org/10.2151/jmsj1965.70.4_813" target="_blank">https://doi.org/10.2151/jmsj1965.70.4_813</a>, 1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Kumar et al.(2006)Kumar, Deo, and Ramachandran</label><mixed-citation>
      
Kumar, V. V., Deo, R. C., and Ramachandran, V.: Total rain accumulation and
rain-rate analysis for small tropical Pacific islands: a case study of Suva,
Fiji, Atmos. Sci. Lett., 7, 53–58,
<a href="https://doi.org/10.1002/asl.131" target="_blank">https://doi.org/10.1002/asl.131</a>, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Lorrey et al.(2012)Lorrey, Dalu, Renwick, Diamond, and
Gaetani</label><mixed-citation>
      
Lorrey, A., Dalu, G., Renwick, J., Diamond, H., and Gaetani, M.: Reconstructing
the South Pacific Convergence Zone Position during the Presatellite Era: A La
Niña Case Study, Mon. Weather Rev., 140, 3653–3668,
<a href="https://doi.org/10.1175/MWR-D-11-00228.1" target="_blank">https://doi.org/10.1175/MWR-D-11-00228.1</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Matthews(2012)</label><mixed-citation>
      
Matthews, A. J.: A multiscale framework for the origin and variability of the
South Pacific Convergence Zone, Q. J. Roy. Meteorol.
Soc., 138, 1165–1178, <a href="https://doi.org/10.1002/qj.1870" target="_blank">https://doi.org/10.1002/qj.1870</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Matthews et al.(1996)Matthews, Hoskins, Slingo, and
Blackburn</label><mixed-citation>
      
Matthews, A. J., Hoskins, B. J., Slingo, J. M., and Blackburn, M.: Development
of convection along the SPCZ within a Madden-Julian oscillation, Q.
J. Roy. Meteorol. Soc., 122, 669–688,
<a href="https://doi.org/10.1002/qj.49712253106" target="_blank">https://doi.org/10.1002/qj.49712253106</a>, 1996.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>McIntyre and Palmer(1983)</label><mixed-citation>
      
McIntyre, M. E. and Palmer, T. N.: Breaking planetary waves in the
stratosphere, Nature, 305, 593–600, <a href="https://doi.org/10.1038/305593a0" target="_blank">https://doi.org/10.1038/305593a0</a>, 1983.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Murthy and Boos(2019)</label><mixed-citation>
      
Murthy, V. S. and Boos, W. R.: Understanding the vertical structure of  potential vorticity in tropical depressions, Q. J. Roy. Meteorol. Soc., 145, 1968–1991,
<a href="https://doi.org/10.1002/qj.3539" target="_blank">https://doi.org/10.1002/qj.3539</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Niznik et al.(2015)Niznik, Lintner, Matthews, and
Widlansky</label><mixed-citation>
      
Niznik, M., Lintner, B. R., Matthews, A. J., and Widlansky, M. J.: The Role of
Tropical–Extratropical Interaction and Synoptic Variability in Maintaining
the South Pacific Convergence Zone in CMIP5 Models, J. Climate, 28,
3353 – 3374, <a href="https://doi.org/10.1175/JCLI-D-14-00527.1" target="_blank">https://doi.org/10.1175/JCLI-D-14-00527.1</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Oertel et al.(2020)Oertel, Boettcher, Joos, Sprenger, and
Wernli</label><mixed-citation>
      
Oertel, A., Boettcher, M., Joos, H., Sprenger, M., and Wernli, H.: Potential
vorticity structure of embedded convection in a warm conveyor belt and its
relevance for large-scale dynamics, Weather Clim. Dynam., 1,
127–153, <a href="https://doi.org/10.5194/wcd-1-127-2020" target="_blank">https://doi.org/10.5194/wcd-1-127-2020</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Peters and Waugh(1996)</label><mixed-citation>
      
Peters, D. and Waugh, D. W.: Influence of Barotropic Shear on the Poleward
Advection of Upper-Tropospheric Air, J. Atmos. Sci., 53,
3013–3031, <a href="https://doi.org/10.1175/1520-0469(1996)053&lt;3013:IOBSOT&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0469(1996)053&lt;3013:IOBSOT&gt;2.0.CO;2</a>, 1996.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Pilon(2025)</label><mixed-citation>
      
Pilon, R.: romainpilon/cloudbandPy: v1.2.2 - Bug Fix, Version v1.2.2, Zenodo [code], <a href="https://doi.org/10.5281/zenodo.14639920" target="_blank">https://doi.org/10.5281/zenodo.14639920</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Pilon(2026)</label><mixed-citation>
      
Pilon, R.: Supporting Files for The Role of Rossby Wave Breaking in the Formation and Maintenance of Tropical-Extratropical Cloud Bands over the South Pacific, Zenodo [code], <a href="https://doi.org/10.5281/zenodo.19919573" target="_blank">https://doi.org/10.5281/zenodo.19919573</a>, 2026.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Pilon and Domeisen(2024)</label><mixed-citation>
      
Pilon, R. and Domeisen, D. I. V.: cloudbandPy 1.0: an automated algorithm for the detection of tropical–extratropical cloud bands, Geosci. Model Dev., 17, 2247–2264, <a href="https://doi.org/10.5194/gmd-17-2247-2024" target="_blank">https://doi.org/10.5194/gmd-17-2247-2024</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Portmann et al.(2021)Portmann, Sprenger, and Wernli</label><mixed-citation>
      
Portmann, R., Sprenger, M., and Wernli, H.: The three-dimensional life cycles of potential vorticity cutoffs: a global and selected regional climatologies in ERA-Interim (1979–2018), Weather Clim. Dynam., 2, 507–534,
<a href="https://doi.org/10.5194/wcd-2-507-2021" target="_blank">https://doi.org/10.5194/wcd-2-507-2021</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Rosa et al.(2020)Rosa, Pezzi, Quadro, and Brunsell</label><mixed-citation>
      
Rosa, E. B., Pezzi, L. P., Quadro, M. F. L. d., and Brunsell, N.: Automated
Detection Algorithm for SACZ, Oceanic SACZ, and Their Climatological
Features, Front. Environ. Sci., 8,
<a href="https://doi.org/10.3389/fenvs.2020.00018" target="_blank">https://doi.org/10.3389/fenvs.2020.00018</a>, original Research, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Sagero et al.(2024)Sagero, Pratap, Magiri, Ongoma, and
Okello</label><mixed-citation>
      
Sagero, P. O., Pratap, A., Magiri, R., Ongoma, V., and Okello, P.: Validation
of ERA5 rainfall data over the South Pacific Region: case study of Fiji
Islands, Meteorol. Atmos. Phys., 136, 28,
<a href="https://doi.org/10.1007/s00703-024-01025-z" target="_blank">https://doi.org/10.1007/s00703-024-01025-z</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Stan et al.(2017)Stan, Straus, Frederiksen, Lin, Maloney, and
Schumacher</label><mixed-citation>
      
Stan, C., Straus, D. M., Frederiksen, J. S., Lin, H., Maloney, E. D., and
Schumacher, C.: Review of Tropical-Extratropical Teleconnections on
Intraseasonal Time Scales, Rev. Geophys., 55, 902–937,
<a href="https://doi.org/10.1002/2016RG000538" target="_blank">https://doi.org/10.1002/2016RG000538</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Takahashi and Battisti(2007)</label><mixed-citation>
      
Takahashi, K. and Battisti, D. S.: Processes Controlling the Mean Tropical
Pacific Precipitation Pattern. Part II: The SPCZ and the Southeast Pacific
Dry Zone, J. Climate, 20, 5696–5706, <a href="https://doi.org/10.1175/2007JCLI1656.1" target="_blank">https://doi.org/10.1175/2007JCLI1656.1</a>,
2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Telcik and Pattiaratchi(2014)</label><mixed-citation>
      
Telcik, N. and Pattiaratchi, C.: Influence of Northwest Cloudbands on Southwest
Australian Rainfall, J. Climatology (Cairo), 2014, 671394,
<a href="https://doi.org/10.1155/2014/671394" target="_blank">https://doi.org/10.1155/2014/671394</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Thorncroft et al.(1993)Thorncroft, Hoskins, and
McIntyre</label><mixed-citation>
      
Thorncroft, C. D., Hoskins, B. J., and McIntyre, M. E.: Two paradigms of
baroclinic-wave life-cycle behaviour, Q. J. Roy.
Meteorol. Soc., 119, 17–55,
<a href="https://doi.org/10.1002/qj.49711950903" target="_blank">https://doi.org/10.1002/qj.49711950903</a>, 1993.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Tubi and Dayan(2014)</label><mixed-citation>
      
Tubi, A. and Dayan, U.: Tropical Plumes over the Middle East: Climatology and
synoptic conditions, Atmos. Res., 145-146, 168–181,
<a href="https://doi.org/10.1016/j.atmosres.2014.03.028" target="_blank">https://doi.org/10.1016/j.atmosres.2014.03.028</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>van der Wiel et al.(2015)van der Wiel, Matthews, Stevens, and
Joshi</label><mixed-citation>
      
van der Wiel, K., Matthews, A. J., Stevens, D. P., and Joshi, M. M.: A
dynamical framework for the origin of the diagonal South Pacific and South
Atlantic Convergence Zones, Q. J. Roy. Meteorol.   Soc., 141, 1997–2010, <a href="https://doi.org/10.1002/qj.2508" target="_blank">https://doi.org/10.1002/qj.2508</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>van der Wiel et al.(2016)van der Wiel, Matthews, Joshi, and
Stevens</label><mixed-citation>
      
van der Wiel, K., Matthews, A. J., Joshi, M. M., and Stevens, D. P.: Why the
South Pacific Convergence Zone is diagonal, Clima. Dynam., 46, 1683–1698,
<a href="https://doi.org/10.1007/s00382-015-2668-0" target="_blank">https://doi.org/10.1007/s00382-015-2668-0</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Vincent(1994)</label><mixed-citation>
      
Vincent, D. G.: The South Pacific Convergence Zone (SPCZ): A Review, Mon.
Weather Rev., 122, 1949–1970,
<a href="https://doi.org/10.1175/1520-0493(1994)122&lt;1949:TSPCZA&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(1994)122&lt;1949:TSPCZA&gt;2.0.CO;2</a>, 1994.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Waugh and Funatsu(2003)</label><mixed-citation>
      
Waugh, D. W. and Funatsu, B. M.: Intrusions into the Tropical Upper
Troposphere: Three-Dimensional Structure and Accompanying Ozone and OLR
Distributions, J. Atmos. Sci., 60, 637–653,
<a href="https://doi.org/10.1175/1520-0469(2003)060&lt;0637:IITTUT&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0469(2003)060&lt;0637:IITTUT&gt;2.0.CO;2</a>, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Waugh and Polvani(2000)</label><mixed-citation>
      
Waugh, D. W. and Polvani, L. M.: Climatology of intrusions into the tropical
upper troposphere, Geophys. Res. Lett., 27, 3857–3860,
<a href="https://doi.org/10.1029/2000GL012250" target="_blank">https://doi.org/10.1029/2000GL012250</a>, 2000.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Webster and Holton(1982)</label><mixed-citation>
      
Webster, P. J. and Holton, J. R.: Cross-Equatorial Response to Middle-Latitude
Forcing in a Zonally Varying Basic State, J. Atmos. Sci.,
39, 722–733, <a href="https://doi.org/10.1175/1520-0469(1982)039&lt;0722:CERTML&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0469(1982)039&lt;0722:CERTML&gt;2.0.CO;2</a>, 1982.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Wernli and Sprenger(2007)</label><mixed-citation>
      
Wernli, H. and Sprenger, M.: Identification and ERA-15 Climatology of Potential
Vorticity Streamers and Cutoffs near the Extratropical Tropopause, J.
Atmos. Sci., 64, 1569–1586, <a href="https://doi.org/10.1175/JAS3912.1" target="_blank">https://doi.org/10.1175/JAS3912.1</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Widlansky et al.(2011)Widlansky, Webster, and Hoyos</label><mixed-citation>
      
Widlansky, M. J., Webster, P. J., and Hoyos, C. D.: On the location and
orientation of the South Pacific Convergence Zone, Clim. Dynam., 36,
561–578, <a href="https://doi.org/10.1007/s00382-010-0871-6" target="_blank">https://doi.org/10.1007/s00382-010-0871-6</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Zilli and Hart(2021)</label><mixed-citation>
      
Zilli, M. T. and Hart, N. C. G.: Rossby Wave Dynamics over South America
Explored with Automatic Tropical–Extratropical Cloud Band Identification
Framework, J. Climate, 34, 8125–8144,
<a href="https://doi.org/10.1175/JCLI-D-21-0020.1" target="_blank">https://doi.org/10.1175/JCLI-D-21-0020.1</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Zilli et al.(2023)Zilli, Hart, Coelho, Chadwick, de Souza, Kubota,
Figueroa, and Cavalcanti</label><mixed-citation>
      
Zilli, M. T., Hart, N. C. G., Coelho, C. A. S., Chadwick, R., de Souza, D. C.,
Kubota, P. Y., Figueroa, S. N., and Cavalcanti, I. F. A.: Characteristics of
tropical–extratropical cloud bands over tropical and subtropical South
America simulated by BAM-1.2 and HadGEM3-GC3.1, Q. J.
Roy. Meteorol. Soc., 149, 1498–1519,
<a href="https://doi.org/10.1002/qj.4470" target="_blank">https://doi.org/10.1002/qj.4470</a>, 2023.

    </mixed-citation></ref-html>--></article>
