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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <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-7-263-2026</article-id><title-group><article-title>Mediterranean Sea heat uptake variability as a precursor to winter precipitation in the Levant</article-title><alt-title>Mediterranean Sea precursors to Levant precipitation</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Cohen</surname><given-names>Ofer</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Hochman</surname><given-names>Assaf</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9881-1893</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Strobach</surname><given-names>Ehud</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1465-6855</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Rostkier-Edelstein</surname><given-names>Dorita</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Gildor</surname><given-names>Hezi</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Adam</surname><given-names>Ori</given-names></name>
          <email>ori.adam@mail.huji.ac.il</email>
        <ext-link>https://orcid.org/0000-0003-0334-0636</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Fredy and Nadine Herrmann Institute of Earth Sciences, The Hebrew University of Jerusalem, Jerusalem, Israel</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Holon Institute of Technology, Holon, Israel</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Agricultural Research Organization, Volcani Institute, Rishon LeTsiyon, Israel</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Ori Adam (ori.adam@mail.huji.ac.il)</corresp></author-notes><pub-date><day>2</day><month>February</month><year>2026</year></pub-date>
      
      <volume>7</volume>
      <issue>1</issue>
      <fpage>263</fpage><lpage>275</lpage>
      <history>
        <date date-type="received"><day>26</day><month>June</month><year>2025</year></date>
           <date date-type="rev-request"><day>10</day><month>July</month><year>2025</year></date>
           <date date-type="rev-recd"><day>1</day><month>January</month><year>2026</year></date>
           <date date-type="accepted"><day>9</day><month>January</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Ofer Cohen 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/7/263/2026/wcd-7-263-2026.html">This article is available from https://wcd.copernicus.org/articles/7/263/2026/wcd-7-263-2026.html</self-uri><self-uri xlink:href="https://wcd.copernicus.org/articles/7/263/2026/wcd-7-263-2026.pdf">The full text article is available as a PDF file from https://wcd.copernicus.org/articles/7/263/2026/wcd-7-263-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e139">The Eastern Mediterranean is experiencing severe warming and drying, driven by global warming, making seasonal precipitation prediction in the region imperative. Given that the Mediterranean Sea is the primary source of regional moisture and synoptic variability, here we explore the observed relation of Mediterranean Sea variability to Levant land precipitation during winter – the dominant wet season. Using Empirical Orthogonal Function (EOF) objective analysis, we identify three dominant modes of sea surface temperature (SST) and ocean heat uptake variability in the Mediterranean Sea. Of these, two modes characterized by east-west variations are found to be statistically related to winter land precipitation in the Levant. Based on these relations, we define an Aegean Sea heat uptake anomaly index (AQA), which is strongly correlated with Levant winter precipitation. Specifically, AQA values during August are found to predict Levant land precipitation in the following winter (December–February, <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.60</mml:mn></mml:mrow></mml:math></inline-formula>). Wetter winters over the Levant following negative August AQA values are associated with more persistent eastward-propagating Mediterranean storms, driven by enhanced baroclinicity and a stronger subtropical jet. The results present AQA as a useful seasonal predictor of Levant winter precipitation and indicate that representations of processes affecting Mediterranean cyclones, the subtropical jet, and ocean-atmosphere heat exchange are key to seasonal forecasting skill in the Levant.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Ministry of Innovation, Science and Technology</funding-source>
<award-id>4749</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Israel Science Foundation</funding-source>
<award-id>978/23</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="d2e165">The Eastern Mediterranean (EM) is generally recognized as a global warming “hotspot”, projected to experience significant climatic changes, including rising temperatures and intensified droughts, as well as extreme precipitation events and flooding <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx42 bib1.bibx41 bib1.bibx8 bib1.bibx66 bib1.bibx31 bib1.bibx30 bib1.bibx27 bib1.bibx55" id="paren.1"/>. Seasonal precipitation prediction in the Levant, a region prone to water stress, is therefore crucial for adaptation efforts. Given that the Mediterranean Sea is a critical source of moisture and a key driver of synoptic variability influencing precipitation in the Levant, we investigate the observed impact of spatiotemporal variability in the Mediterranean Sea on winter precipitation in the Levant.</p>
      <p id="d2e171">The EM lies in a transitional climate zone, subtended by temperate regions to the north and arid regions to the south <xref ref-type="bibr" rid="bib1.bibx19 bib1.bibx67" id="paren.2"/>. EM climate is marked by relatively dry summers and wet winters, with the majority of precipitation occurring from December to February (Fig. <xref ref-type="fig" rid="F1"/>a). Seasonal synoptic patterns in the region result from the interaction of large-scale systems, such as the subtropical jet, subtropical highs, and the Asian monsoon, with smaller regional systems, and are modulated by the conditions in the Mediterranean Sea <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx19 bib1.bibx2 bib1.bibx67 bib1.bibx42 bib1.bibx54 bib1.bibx32" id="paren.3"/>. The interaction of global and regional systems, therefore, critically affects precipitation predictability in the region <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx24 bib1.bibx33" id="paren.4"/>.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e188"><bold>(a)</bold> Winter (December–February) minus summer (June–August) precipitation in the Mediterranean region; a black rectangle demarcates the Levant region considered in this study. <bold>(b)</bold> Pearson correlation coefficient of winter land precipitation in the Levant region and global sea surface temperature (SST) in the preceding September, for the period 1979–2023 (correlation 95 % confidence bounds are shown in gray contours). Data taken from the ERA5 reanalysis <xref ref-type="bibr" rid="bib1.bibx22" id="paren.5"><named-content content-type="post">see Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/></named-content></xref>.</p></caption>
        <graphic xlink:href="https://wcd.copernicus.org/articles/7/263/2026/wcd-7-263-2026-f01.png"/>

      </fig>

      <p id="d2e209">Various indices based on surface and atmospheric conditions in the Mediterranean have been used to capture precipitation and temperature variations in the Mediterranean basin <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx47 bib1.bibx45 bib1.bibx9 bib1.bibx52" id="paren.6"/>. In particular, multiple versions of a Mediterranean Oscillation index have been examined, motivated by the characteristic atmospheric east-west dipole in the Mediterranean basin <xref ref-type="bibr" rid="bib1.bibx7" id="paren.7"/>. These, however, have shown limited predictive value in the EM on seasonal timescales <xref ref-type="bibr" rid="bib1.bibx52" id="paren.8"/>. In contrast, statistical approaches incorporating delayed interactions and ocean-atmosphere heat fluxes have shown significant potential for improving seasonal forecasting in the EM <xref ref-type="bibr" rid="bib1.bibx51" id="paren.9"/>.</p>
      <p id="d2e224">Recent work has demonstrated a delayed response of Levant precipitation to large-scale variations, which can serve as a basis for improved predictions of seasonal precipitation in the region <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx32 bib1.bibx34" id="paren.10"/>. For example, statistical relations were established between Mediterranean Sea heat content in autumn and subsequent winter precipitation in several cities across Israel <xref ref-type="bibr" rid="bib1.bibx62 bib1.bibx3" id="paren.11"/>. Synoptic weather systems in the EM were also shown to be modulated by the Mediterranean Sea, with Mediterranean SST changes affecting the development and intensity of Mediterranean cyclones, thereby delaying inland winter precipitation peaks from early to late January compared to coastal regions <xref ref-type="bibr" rid="bib1.bibx67 bib1.bibx13" id="paren.12"/>. Such variations in sea surface conditions are expected to have both dynamic and thermodynamic impacts on EM precipitation, influencing both atmospheric flow and regional synoptic conditions, as well as the thermodynamic properties of advected air parcels <xref ref-type="bibr" rid="bib1.bibx57 bib1.bibx11 bib1.bibx60 bib1.bibx58" id="paren.13"/>.</p>
      <p id="d2e239">Despite the Mediterranean's importance for Levant winter precipitation, previous work has primarily focused on remote links known to influence conditions in the EM. For example, Fig. <xref ref-type="fig" rid="F1"/>b shows a global lagged correlation map of observed SST anomalies in September and winter Levant land precipitation. Significant lagged correlations are seen in various regions, including the tropical Pacific, the North Atlantic, and the Indian Ocean. The positive lagged correlation in the North Atlantic agrees with previous works showing links between positive phases of the North Atlantic Oscillation (NAO) and Arctic Oscillation (AO) and winter precipitation in the Levant, mediated by the effect of NAO and AO on the intensity of winter storms in the EM  <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx5 bib1.bibx18 bib1.bibx44" id="paren.14"/>, as well as upstream amplification of extratropical cyclones originating in the North Atlantic <xref ref-type="bibr" rid="bib1.bibx49" id="paren.15"/>. The lagged correlations in the Tropical Pacific are consistent with previous work linking ENSO and winter precipitation in northern Israel during the second half of the 20th century <xref ref-type="bibr" rid="bib1.bibx48" id="paren.16"/>. Similarly, SST variability in the Indian and Pacific Oceans is dynamically linked to sub-seasonal precipitation variability in the Levant <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx23 bib1.bibx50" id="paren.17"/>.</p>
      <p id="d2e256">Significant lagged correlations are also seen in the Mediterranean Sea, which are the focus of the present analysis. In particular, the lagged spatial correlation patterns in the Mediterranean Sea vary across months (not shown), suggesting non-trivial regional links between Levant precipitation and Mediterranean Sea variability, which are explored here. Specifically, we aim to: (i) explore the observed links between objectively determined patterns of variability in the Mediterranean Sea and Levant winter precipitation; and (ii) analyze the physical processes underlying these links. Our results point to key variations in the Mediterranean Sea that precede Levant winter precipitation anomalies, potentially providing a basis for improved seasonal prediction.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
      <p id="d2e267">Our methodology is based on calculating the observed dominant spatiotemporal patterns of surface heat balance variability in the Mediterranean Sea using objective methods, and identifying which elements of these modes of variability hold predictive power for Levant precipitation. This is then followed by an analysis of the regional moisture balance <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx57" id="paren.18"/> and synoptic conditions <xref ref-type="bibr" rid="bib1.bibx2" id="paren.19"/>, providing context for the lagged response of Levant precipitation to Mediterranean Sea variability. The data, ocean mixed-layer heat balance, objective analysis methods, and analyses of moisture balance and synoptic conditions are briefly described below.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Data</title>
      <p id="d2e283">For atmospheric and surface data, we use monthly and daily data from the European Center for Medium-Range Weather Forecasts (ECMWF) ERA5 atmospheric reanalysis at 0.25° <inline-formula><mml:math id="M2" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 0.25° grid-spacing, covering the period 1979–2023 <xref ref-type="bibr" rid="bib1.bibx22" id="paren.20"><named-content content-type="pre">i.e., post-satellite era; </named-content></xref>. ERA5 data has been shown in previous studies to provide reliable estimates of <italic>in situ</italic> observations of the hydrological cycle <xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx60" id="paren.21"/>. We nevertheless validate our results using <italic>in situ</italic> data from rain gauges distributed throughout Israel provided by the Israel Meteorological Service (IMS, <uri>https://ims.gov.il</uri>, last access: 7 January 2025). In accordance with ERA5, the reference observed sea surface temperature (SST) data are taken from the HadISST2 dataset <xref ref-type="bibr" rid="bib1.bibx59" id="paren.22"/> up to September 2007 and from the Operational SST and Ice Analysis (OSTIA) dataset <xref ref-type="bibr" rid="bib1.bibx20" id="paren.23"/> thereafter. For precipitation over land, we use ERA5-land <xref ref-type="bibr" rid="bib1.bibx46" id="paren.24"/> at approximately 9 km resolution, which provides an improved representation of land processes.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Ocean mixed-layer energy balance</title>
      <p id="d2e328">Upper-ocean heat content, given by the product of sea-water heat capacity <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, ocean mixed-layer depth (<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mi mathvariant="normal">ml</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, MLD), and SST (<inline-formula><mml:math id="M5" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>), has been shown in previous work to be a contributing factor to processes affecting Levant precipitation over land, such as ocean-atmosphere heat and moisture exchange and land-ocean temperature contrasts <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx62" id="paren.25"/>. In particular, <xref ref-type="bibr" rid="bib1.bibx62" id="text.26"/> and <xref ref-type="bibr" rid="bib1.bibx3" id="text.27"/> demonstrated the potential of utilizing the ocean's upper-layer heat content during fall months to enhance predictions of winter precipitation in the Levant. Building on these results, we hypothesize that changes in Mediterranean SST and ocean heat uptake are linked to precipitation changes in the Levant. However, since estimates of MLD can vary significantly across datasets and methodologies <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx10 bib1.bibx61 bib1.bibx38" id="paren.28"/>, we avoid using MLD as a predictor.</p>
      <p id="d2e373">Specifically, the energy balance equation of the ocean mixed layer can be written as <xref ref-type="bibr" rid="bib1.bibx16" id="paren.29"/>

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M6" display="block"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:msub><mml:mi>h</mml:mi><mml:mi mathvariant="normal">ml</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>T</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover><mml:mo>+</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold">u</mml:mi><mml:mo stretchy="false" mathvariant="normal">̃</mml:mo></mml:mover><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M7" display="inline"><mml:mover accent="true"><mml:mi>T</mml:mi><mml:mo mathvariant="normal">˙</mml:mo></mml:mover></mml:math></inline-formula> is SST tendency, <inline-formula><mml:math id="M8" display="inline"><mml:mover accent="true"><mml:mi mathvariant="bold">u</mml:mi><mml:mo mathvariant="normal" stretchy="false">̃</mml:mo></mml:mover></mml:math></inline-formula> is the vertical-mean horizontal flow in the mixed layer, <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the net downward heat flux at the ocean surface, and <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>K</mml:mi><mml:mi>z</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the input of heat to the mixed layer from below, associated primarily with small-scale vertical mixing. Here positive <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values indicate heating of the upper ocean and negative <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values indicate release of heat from the ocean surface to the atmosphere. Also, for sufficiently small temporal variations of the ocean mixed layer depth, SST tendency is approximately proportional to <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e513">The net surface energy input into the ocean mixed layer (<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) consists of the net downward shortwave (SW) and longwave (LW) surface radiation, and the downward sensible (SH) and latent (LH) surface heat fluxes, minus the fraction of the shortwave radiation penetrating below the mixed layer (<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M16" display="block"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="normal">SW</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">LW</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">SH</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">LH</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is calculated as a 25-m <inline-formula><mml:math id="M18" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula> folding decay of shortwave radiation, given by the equation <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">P</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.45</mml:mn></mml:mrow></mml:math></inline-formula> SW <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="italic">γ</mml:mi><mml:msub><mml:mi>h</mml:mi><mml:mi mathvariant="normal">ml</mml:mi></mml:msub></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with <inline-formula><mml:math id="M21" display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> being a decay rate constant equal to 0.04 m<sup>−1</sup> <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx63" id="paren.30"/>.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Empirical Orthogonal Function (EOF) Analysis</title>
      <p id="d2e655">To objectively capture the spatial patterns of Mediterranean Sea variability, we employ the Empirical Orthogonal Function (EOF) analysis <xref ref-type="bibr" rid="bib1.bibx21" id="paren.31"/>, as well as Self-Organizing Map (SOM) unsupervised neural network analysis for clustering and visualizing high-dimensional data <xref ref-type="bibr" rid="bib1.bibx40" id="paren.32"/>. The two methods yield very similar spatial patterns and temporal behavior. We therefore focus in our analysis on the EOF patterns, but provide additional results for the SOM analysis in the Supplement (Sect. S1).</p>
      <p id="d2e664">We produce EOF patterns of SST and ocean heat uptake (<inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in the Mediterranean Sea, using detrended monthly anomalies from climatology. The EOFs are computed as the eigenvectors of the covariance matrices of SST and <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, representing the primary orthogonal modes of variability in the SST and <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> data. The variance explained by each EOF mode is calculated as each eigenvalue of the covariance matrix of SST and <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> normalized by the sum of all eigenvalues. The corresponding time series of the relative amplitude of each EOF pattern (the principal component) is used to quantify how the dominance of these patterns varies over time. Subsequently, we calculate the lagged Pearson correlation coefficient between the monthly amplitude of each pattern and winter (December–February) mean land precipitation in the Levant (Fig. <xref ref-type="fig" rid="F2"/>).</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e715">The first three EOF patterns of Mediterranean monthly <bold>(a–c)</bold> SST and <bold>(e–g)</bold> heat uptake (<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) anomalies. The variance explained (VE) by each pattern is shown in the panel titles. <bold>(d, h)</bold> Lagged correlation of the principal component of each monthly SST and <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> EOF pattern, respectively, during the months July–November with mean Levant winter (DJF) land precipitation. Statistically significant (5 % significance level) correlations are bolded. Data taken from ERA5 for 1979–2023 <xref ref-type="bibr" rid="bib1.bibx22" id="paren.33"/>.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/263/2026/wcd-7-263-2026-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Decomposition of precipitation variations</title>
      <p id="d2e768">The steady moisture equation of the atmosphere can be written as <xref ref-type="bibr" rid="bib1.bibx56" id="paren.34"/>

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M29" display="block"><mml:mrow><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mi>E</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>-</mml:mo><mml:mo>〈</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>〉</mml:mo><mml:mo>-</mml:mo><mml:mo>〈</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi mathvariant="bold">u</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>〉</mml:mo><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:msub><mml:mover accent="true"><mml:mi>p</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M30" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M31" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> represent precipitation and evaporation, respectively, <inline-formula><mml:math id="M32" display="inline"><mml:mi mathvariant="bold-italic">u</mml:mi></mml:math></inline-formula> is the wind vector, <inline-formula><mml:math id="M33" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> denotes specific humidity, <inline-formula><mml:math id="M34" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> denotes pressure, and the subscript <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>⋅</mml:mo><mml:msub><mml:mo>)</mml:mo><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes surface values. Angled brackets denote mass-weighted vertical integrals,

            <disp-formula id="Ch1.Ex1"><mml:math id="M36" display="block"><mml:mrow><mml:mo>〈</mml:mo><mml:mo>⋅</mml:mo><mml:mo>〉</mml:mo><mml:mo>≡</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mn mathvariant="normal">1</mml:mn><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub><mml:mi>g</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:munderover><mml:mo movablelimits="false">∫</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:munderover><mml:mo>(</mml:mo><mml:mo>⋅</mml:mo><mml:mo>)</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">d</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mi mathvariant="normal">w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the density of water and <inline-formula><mml:math id="M38" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> is Earth's gravitational acceleration; overbars and primes denote monthly temporal means and deviations thereof, respectively.</p>
      <p id="d2e992">Following the methodology and terminology described in <xref ref-type="bibr" rid="bib1.bibx56" id="text.35"/>, it follows from Eq. (<xref ref-type="disp-formula" rid="Ch1.E3"/>) that changes in precipitation can be decomposed into those involving changes in evaporation, the mean wind field (dynamic changes), the mean moisture field (thermodynamic changes), surface moisture transport, and transient eddies <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx57 bib1.bibx37 bib1.bibx65 bib1.bibx11 bib1.bibx60 bib1.bibx6" id="paren.36"/>.</p>
      <p id="d2e1003">We define <inline-formula><mml:math id="M39" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula> as the difference between two composites of monthly means,

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M40" display="block"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>≡</mml:mo><mml:msub><mml:mover accent="true"><mml:mover accent="true"><mml:mrow><mml:mo>(</mml:mo><mml:mo>⋅</mml:mo><mml:mo>)</mml:mo></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mover accent="true"><mml:mover accent="true"><mml:mrow><mml:mo>(</mml:mo><mml:mo>⋅</mml:mo><mml:mo>)</mml:mo></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></disp-formula>

          where a double overbar denotes a temporal average over some period. Neglecting changes associated with surface pressure, we rewrite the moisture balance equation to express the difference between two composites of winters,

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M41" display="block"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>P</mml:mi><mml:mo>≅</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>E</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>〈</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>⋅</mml:mo><mml:mfenced open="(" close=")"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mo>〉</mml:mo><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>〈</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>⋅</mml:mo><mml:mfenced open="(" close=")"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>q</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mfenced><mml:mo>〉</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          In the next section, we refer to the second and third right-hand side terms as the changes in the mean and transient components of precipitation, respectively, where the mean component is further decomposed into mean thermodynamic (<inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mo>〈</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mover accent="true"><mml:mi mathvariant="bold">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="italic">δ</mml:mi><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula>) and the mean dynamic (<inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mo>〈</mml:mo><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mover accent="true"><mml:mi mathvariant="bold">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mover accent="true"><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula>) components <xref ref-type="bibr" rid="bib1.bibx56" id="paren.37"/>.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Semi-Objective Synoptic Classification</title>
      <p id="d2e1209">Due to the critical influence of synoptic-scale conditions on precipitation in the Levant <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx19" id="paren.38"/>, we examine the relationship between these conditions and our calculated patterns of variability. Specifically, we classify synoptic conditions based on the semi-objective methodology proposed by <xref ref-type="bibr" rid="bib1.bibx2" id="text.39"/>, which has been used in previous works to study EM seasonal synoptic variations <xref ref-type="bibr" rid="bib1.bibx1" id="paren.40"/>, as well as changes under climate change in weather patterns <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx25 bib1.bibx28 bib1.bibx43" id="paren.41"/>, extreme weather events <xref ref-type="bibr" rid="bib1.bibx53 bib1.bibx31" id="paren.42"/>, and their impacts <xref ref-type="bibr" rid="bib1.bibx29" id="paren.43"/>.</p>
      <p id="d2e1231">The classification method uses four single-level atmospheric fields: geopotential height, temperature, and the zonal and meridional components of wind; all at 1000 hPa and at a grid-spacing of 2.5° <inline-formula><mml:math id="M44" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5° over the EM region (defined within the coordinates  27.5–37.5° N and 30–40° E), sampled at 12:00 UTC each day. The synoptic classification of each day within the EM is therefore calculated using 100 data points (<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> grid points for each of the four atmospheric fields), which are also standardized by subtracting the long-term mean and dividing by the standard deviation of the time series of each field. The classification of each day to its synoptic type is performed by comparing each of these daily datasets to 426 d that were manually classified by a team of expert meteorologists (335 d from 1985 and 91 d from the winter of 1991–1992). The synoptic type of each day is determined as that for which the Euclidean distance from each of the manually classified days is lowest. The reference 426 d are categorized into five synoptic groups <xref ref-type="bibr" rid="bib1.bibx2" id="paren.44"/>, of which two are associated with winter precipitation: <list list-type="custom"><list-item><label>i.</label>
      <p id="d2e1258"><bold>Cyprus Low (CL)</bold>: A Mediterranean cyclone centered near Cyprus, often responsible for significant rainfall and stormy weather in the Levant region and significant impacts <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx29" id="paren.45"/>;</p></list-item><list-item><label>ii.</label>
      <p id="d2e1267"><bold>Red Sea Trough (RST)</bold>: A low-pressure trough extending from the southern Red Sea into the EM, often associated with warm, moist air advection and convective activity. It produces occasional intense precipitation during transition seasons in the southeastern Levant.</p></list-item></list> The remaining three synoptic groups are associated with warm and dry conditions: <list list-type="custom"><list-item><label>iii.</label>
      <p id="d2e1275"><bold>Highs (H)</bold>: A high-pressure system over the EM throughout the year (as an extension of the Siberian high), leading to stable, dry, and clear weather;</p></list-item><list-item><label>iv.</label>
      <p id="d2e1281"><bold>Persian Trough (PT)</bold>: A thermal low originating over the Persian Gulf and extending westward, typically bringing warm and moist conditions to the EM during summer;</p></list-item><list-item><label>v.</label>
      <p id="d2e1287"><bold>Sharav Low (SL)</bold>: A transient heat low forming over the western Sahara and moving eastward, bringing hot, dry, and windy conditions to the EM, typically during spring.</p></list-item></list></p>
      <p id="d2e1292">To better identify the driving factors impacting the synoptic change, we analyze the regional atmospheric conditions between winter composites. Accordingly, we study the changes in mean sea-level pressure conditions, the 500 hPa geopotential, and the strength and position of the subtropical jet. Additionally, to quantify the difference in the regional baroclinic conditions, we use the Eady Growth Rate, as defined in <xref ref-type="bibr" rid="bib1.bibx35" id="text.46"/>:

            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M46" display="block"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.31</mml:mn><mml:mi>f</mml:mi><mml:msup><mml:mi>N</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>|</mml:mo><mml:msub><mml:mo>∂</mml:mo><mml:mi>z</mml:mi></mml:msub><mml:mi mathvariant="bold">v</mml:mi><mml:mo>|</mml:mo></mml:mrow></mml:math></disp-formula>

          Where <inline-formula><mml:math id="M47" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> is the Eady Growth Rate between the 850 and 500 hPa pressure levels, <inline-formula><mml:math id="M48" display="inline"><mml:mi>f</mml:mi></mml:math></inline-formula> is the Coriolis parameter, <inline-formula><mml:math id="M49" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula> is the Brunt-Väisälä frequency, and <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>z</mml:mi></mml:msub><mml:mi mathvariant="bold">v</mml:mi></mml:mrow></mml:math></inline-formula>) is the vertical shear of the horizontal wind.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d2e1375">We begin by calculating the spatiotemporal patterns of variability in Mediterranean SST and surface heat uptake (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>). Based on these patterns, we define an index that captures a strong statistical relation between summer <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> anomalies in the Aegean Sea and winter precipitation anomalies in the Levant (December–January average over land). We then provide context for this relation using analyses of the regional hydrological cycle and synoptic conditions.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Spatiotemporal patterns of variability</title>
      <p id="d2e1407">For both SST and <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the first three EOF patterns explain the majority of the variance in the data (76 % for SST and 78 % for <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, left and right columns of Fig. <xref ref-type="fig" rid="F2"/>, respectively), indicating they represent the dominant patterns of variability in these fields. The first EOF pattern (Fig. <xref ref-type="fig" rid="F2"/>a, e, 47 % variance explained in both fields) can be described as generally capturing a gradient between the central Mediterranean and its eastern and western parts. The second EOF pattern of SST and <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F2"/>b, f, 24 % and 27 % variance explained, respectively) generally captures east-west gradients across the Mediterranean basin, consistent with the characteristic east-west dipole seen in atmospheric variables <xref ref-type="bibr" rid="bib1.bibx7" id="paren.47"/>. Specifically, the second EOF pattern of SST and <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> alike features a surface anomaly located between the Ionian and Tyrrhenian Seas (i.e., east and west of Sicily). The third EOF pattern of SST and <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> explains 5 % and 4 % of the variance, respectively, and depicts a north-south gradient of SST and <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> anomalies over the Mediterranean.</p>
      <p id="d2e1486">Statistically significant lagged correlations of the principal components of the EOF patterns and Levant winter precipitation are seen in different months for the three EOFs (Fig. <xref ref-type="fig" rid="F2"/>d, h). Of these, the second EOF pattern of <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> stands out with a correlation coefficient <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.56</mml:mn></mml:mrow></mml:math></inline-formula> in August and <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.40</mml:mn></mml:mrow></mml:math></inline-formula> in October. During the peak correlation month of August, <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> variations are dominated by latent heat fluxes, with minor contributions from sensible heat fluxes and negligible contributions from radiative fluxes (Fig. S15). Since latent and sensible heat fluxes are strongly dependent on near-surface winds and atmospheric conditions (i.e., temperature and humidity), this suggests that coupled ocean-atmosphere processes are linked to the lagged correlations.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1541">Aegean <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> anomaly Index (AQA), defined as the detrended anomaly from climatology of <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the Aegean Sea (23.5–26.5° E, 32.5–35° N, red rectangles in panels <bold>a</bold> and <bold>b</bold>), normalized by the standard deviation of the anomaly timeseries. The typical difference between <bold>(a)</bold> SST and <bold>(b)</bold> <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> positive and negative AQA months (taken as months above or below <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> the standard deviation of AQA). <bold>(c)</bold> Monthly AQA values from January 1979 to December 2023. August months, which are the most strongly correlated with winter Levant land precipitation, are shown in red. Gray dashed horizontal lines denote <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> the standard deviation of August AQA values.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/263/2026/wcd-7-263-2026-f03.png"/>

        </fig>

      <fig id="F4"><label>Figure 4</label><caption><p id="d2e1622"><bold>(a)</bold> Correlations of the Aegean <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> anomaly index (AQA) with the <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> EOF patterns. <bold>(b)</bold> Correlations of AQA with Levant land winter precipitation using ERA5-land data and rain gauge data from the Israel Meteorological Service (IMS, <uri>https://ims.gov.il</uri>, last access: 7 January 2025). The <italic>p</italic>-values and 95 % upper and lower bounds of the AQA correlations to Levant land precipitation anomalies are shown in  Fig. S17.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/263/2026/wcd-7-263-2026-f04.png"/>

        </fig>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1666">Mean <bold>(a)</bold> SST and <bold>(b)</bold> <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> difference between composites of winters preceded by August AQA values below and above half the standard deviation of August AQA values, respectively.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/263/2026/wcd-7-263-2026-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Aegean <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> Anomaly index</title>
      <p id="d2e1712">We find that mean <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values in the Aegean Sea reproduce the lagged correlations with Levant precipitation seen for the second EOF pattern. We therefore define an Aegean Sea <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> Anomaly index (AQA) as a precursor to Levant winter land precipitation. Specifically, AQA is defined as the <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> detrended anomaly from seasonal climatology in the north-eastern region demarcated in Fig. <xref ref-type="fig" rid="F3"/>a–b (23.5–26.5° E, 32.5–35° N), normalized by the standard deviation of the anomaly timeseries. Note, however, that based on the second <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> EOF pattern, this index does not only indicate <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> changes in the Aegean Sea, but also contrasting <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> changes in the western Mediterranean (and similarly for SST; Fig. <xref ref-type="fig" rid="F2"/>). The AQA index was found to have considerably stronger predictive power compared to indices based on other regions of the Mediterranean and is not sensitive to <inline-formula><mml:math id="M78" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.25° variations of its boundaries (Fig. S11). A similar AQA index based on SST yields similar but statistically weaker results (see Sect. S2).</p>
      <p id="d2e1793">Monthly AQA values are shown in Fig. <xref ref-type="fig" rid="F3"/>c. AQA is unitless, with positive values indicating higher ocean heat uptake in the Aegean Sea relative to climatological conditions (Fig. <xref ref-type="fig" rid="F3"/>a, b). AQA is strongly anti-correlated with the principal component of the first and second <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> EOF patterns (<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.60</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.71</mml:mn></mml:mrow></mml:math></inline-formula> respectively, Fig. <xref ref-type="fig" rid="F4"/>a) and can therefore be interpreted as generally proportional to the amplitude of these EOF patterns.</p>
      <p id="d2e1838">AQA is significantly correlated with Levant winter precipitation, in both ERA5 data and <italic>in situ</italic> IMS rain gauges, with the strongest lagged correlation in August (<inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.60</mml:mn></mml:mrow></mml:math></inline-formula>), in agreement with the <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> Patterns 2 and 3 (Fig. <xref ref-type="fig" rid="F4"/>a). The correlation is strongest for winter (December–February), but is significant for each of the winter months (Fig. <xref ref-type="fig" rid="F4"/>b). These results are not sensitive to the choice of December–February as the winter months, and remain significant for earlier, later, or longer winter months combinations (specifically, November–March, November–January, and January–March, shown in Fig. S9).</p>
      <p id="d2e1874">We now turn to analyzing the winter conditions associated with AQA variations by examining the differences between composites of winters preceded by August AQA values below and above plus and minus half of the standard deviation of August AQA values (<inline-formula><mml:math id="M84" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula>13 years in each composite group; cf. Fig. <xref ref-type="fig" rid="F3"/>). The difference in winter SST between the two composites, shown in Fig. <xref ref-type="fig" rid="F5"/>a, exhibits higher SST conditions in the north-eastern Mediterranean, which persist throughout winter (not shown). The increased winter SST in the north-eastern Mediterranean is indicative of increased upward surface heat and moisture fluxes, which, in turn, imply favorable conditions for cyclogenesis and storm intensification <xref ref-type="bibr" rid="bib1.bibx14" id="paren.48"><named-content content-type="pre">e.g.,</named-content></xref>. Accordingly, the winter <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> difference between these winter composites (Fig. <xref ref-type="fig" rid="F5"/>b) shows decreased ocean heat uptake in the EM, driven primarily by increased upward latent and sensible heat fluxes during negative AQA composite winters.</p>
      <p id="d2e1907">The composite difference of hydrological changes is shown in Fig. <xref ref-type="fig" rid="F6"/>. A significant increase in precipitation is seen in the EM (Fig. <xref ref-type="fig" rid="F6"/>a). The majority of the precipitation increase is seen in the mean component of the moisture flux convergence (Fig. <xref ref-type="fig" rid="F6"/>c), with minor contribution from transient eddies in the northern Levant (Fig. <xref ref-type="fig" rid="F6"/>d), and negligible contribution from changes in evaporation (Fig. <xref ref-type="fig" rid="F6"/>b). Further decomposition of the mean component (Fig. <xref ref-type="fig" rid="F6"/>c) shows that the mean thermodynamic component (Fig. <xref ref-type="fig" rid="F6"/>e) is negligible, while the mean dynamic component dominates the precipitation response (Fig. <xref ref-type="fig" rid="F6"/>f).</p>
      <p id="d2e1927">We therefore conclude that the increased winter Levant precipitation associated with negative AQA anomalies during the preceding August is mediated by changes in regional mean flow patterns, creating more favorable conditions for precipitation by synoptic systems migrating eastward from the central Mediterranean to the Levant. Next, we turn to synoptic analysis to diagnose the meteorological conditions underlying the winter precipitation response to AQA.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e1932">The decomposed hydrological balance in the Mediterranean region. Bars denote monthly means, and primes denote transient variations. Dotted regions are 95 % statistically significant using a bootstrapping test. <bold>(a)</bold> Changes in precipitation between negative and positive AQA index winter composites, respectively; <bold>(b)</bold> Changes in evaporation between composites; <bold>(c)</bold> Changes in the mean vertically integrated moisture balance; <bold>(d)</bold> Changes in the transient-eddy component of the moisture flux; <bold>(e)</bold> Changes in the mean thermodynamic component; <bold>(f)</bold> Changes in the mean dynamic component.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/263/2026/wcd-7-263-2026-f06.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Synoptic analysis</title>
      <p id="d2e1968">Using the semi-objective synoptic classification <xref ref-type="bibr" rid="bib1.bibx2" id="paren.49"/>, we assess the difference in synoptic conditions between winters preceded by August AQA values above and below half the standard deviation of August AQA values (Fig. <xref ref-type="fig" rid="F7"/>a). Negative August AQA values are associated with increased prevalence of Cyprus Lows (CL, 32 vs. 25 d per winter) and decreased prevalence of Red Sea Trough systems (RST, 27 vs. 35 d per winter), with negligible changes in the other synoptic groups. Given that winter precipitation in the EM is dominated by eastward propagating Mediterranean cyclones <xref ref-type="bibr" rid="bib1.bibx54" id="paren.50"><named-content content-type="pre">i.e., Cyprus Lows;</named-content></xref>, and that Red Sea Trough synoptic conditions rarely lead to precipitation, these results are consistent with the winter precipitation response to AQA shown in Fig. <xref ref-type="fig" rid="F6"/>a.</p>
      <p id="d2e1983">To assess whether the enhanced Cyprus Low activity results from increased number or duration of storms, we calculate the composite difference in the number of synoptic systems occurring in the region during winter (defined as the number of days minus the number of consecutive days of each synoptic type during winter; Fig. <xref ref-type="fig" rid="F7"/>b). The number of Cyprus Low systems, as well as of Red Sea Trough and High systems, shows no significant sensitivity to AQA. This, in turn, indicates that the wetter Levant winters in response to negative AQA anomalies in the preceding August result from more persistent precipitating Cyprus Low systems during winter.</p>
      <p id="d2e1988">Since the hydrological decomposition pointed to changes in the mean flow as the primary driver of wetter Levant winters (Fig. <xref ref-type="fig" rid="F6"/>f), we now asses the relation of AQA to the prevailing regional westerlies. As shown in Fig. <xref ref-type="fig" rid="F8"/>a, negative AQA values in August are associated with a stronger subtropical jet over the EM during winter, which goes along with a low sea-level pressure anomaly over the Aegean Sea (Fig. S4) and a negative 500 hPa geopotential anomaly north of the Aegean Sea (Fig. <xref ref-type="fig" rid="F8"/>c). This large-scale jet intensification coincides with increased upper-level divergence along EM storm tracks (Fig. S5) and a positive anomaly in the Eady Growth Rate (Fig. <xref ref-type="fig" rid="F8"/>e), both indicative of more favorable conditions for baroclinic convective instability, consistent with the increased precipitation in the Levant (Fig. <xref ref-type="fig" rid="F6"/>a).</p>
      <p id="d2e2001">In summary, our findings reveal that a negative ocean heat uptake anomaly in the Aegean Sea during August is a precursor to enhanced winter precipitation in the Levant. This link is dynamically mediated by the increased persistence of precipitating Cyprus Low systems traversing the region, driven by a strengthening of the subtropical jet over the EM and a concurrent intensification of regional baroclinicity.</p>

      <fig id="F7"><label>Figure 7</label><caption><p id="d2e2007"><bold>(a)</bold> The number of winter days classified as each synoptic group, and <bold>(b)</bold> the number of winter synoptic systems, for composites of all winters (yellow bars), and winters preceded by August AQA values above (blue bars) and below (red bars) plus and minus half of the standard deviation of August AQA values. Asterisks denote that the change is significantly different above the 90 % threshold using the binomial significance test.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/263/2026/wcd-7-263-2026-f07.png"/>

        </fig>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e2023">Composite difference between winters (December–February) preceded by negative and positive August AQA values in <bold>(a)</bold> 250 hPa wind during winter, <bold>(c)</bold> geopotential height at the 500 hPa pressure level, and <bold>(e)</bold> Eady Growth Rate. Right column panels show the respective winter climatology. Data taken from ERA5 for 1979–2023. Stippling indicates 95 % confidence estimated using a bootstrap test. </p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/263/2026/wcd-7-263-2026-f08.jpg"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Summary and Discussion</title>
      <p id="d2e2050">The relation of Mediterranean Sea variability and winter precipitation in the Levant is explored. Objective analysis reveals that changes in the Mediterranean Sea heat uptake act as a precursor to inter-annual variability in Levantine winter precipitation. Based on this, we define an Aegean Sea heat uptake anomaly index (AQA), representing anomalous ocean heat uptake (<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in the Aegean Sea during August. AQA shows a significant negative correlation with subsequent winter land precipitation in the Levant (<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.60</mml:mn></mml:mrow></mml:math></inline-formula>). The associated increase in precipitation is driven by the more persistent eastward-migrating Mediterranean storms, which constitute the dominant source of winter rainfall in the region. This increase is linked to a strengthening of the regional subtropical jet, promoting enhanced baroclinicity and more favorable conditions for storm development and maintenance.</p>
      <p id="d2e2078">Specifically, using Empirical Orthogonal Functions (EOF) analysis, we identify three dominant spatiotemporal patterns of variability in Mediterranean SST and <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F2"/>). Of these, the patterns characterized by east-west gradients are found to predict variations in Levant winter precipitation. The statistical relations are significant for both SST and <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, and are qualitatively reproduced for <italic>in situ</italic> data in Israel. Similar patterns of variability and lagged correlations are produced with Self-Organizing maps (SOM) analysis (Sect. S1), indicating that the results are not sensitive to our methodology. The <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> anomalies, which are generally anti-correlated with SST anomalies (Fig. <xref ref-type="fig" rid="F3"/>), are primarily driven by changes in latent heat fluxes <xref ref-type="bibr" rid="bib1.bibx32" id="paren.51"/>, highlighting the important role of ocean-atmosphere interactions in Mediterranean Sea variability, and in particular in the lagged response of Levant precipitation.</p>
      <p id="d2e2125">Composite analysis of winters preceded by negative August AQA values reveals a response characterized by: <list list-type="custom"><list-item><label>i.</label>
      <p id="d2e2130">Enhanced precipitation in the Eastern Mediterranean (EM), particularly in the Levant and southern Turkey (Fig. <xref ref-type="fig" rid="F6"/>);</p></list-item><list-item><label>ii.</label>
      <p id="d2e2136">Elevated SST in the northern parts of the EM, a low-pressure region centered north of the Aegean Sea (Figs. S4 and <xref ref-type="fig" rid="F8"/>c), and reduced <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">f</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> throughout the EM (Fig. <xref ref-type="fig" rid="F5"/>);</p></list-item><list-item><label>iii.</label>
      <p id="d2e2155">More persistent eastward migrating EM Mediterranean cyclones, commonly termed Cyprus Lows (Fig. <xref ref-type="fig" rid="F7"/>a);</p></list-item><list-item><label>iv.</label>
      <p id="d2e2161">Strengthened regional subtropical jet, which goes along with more baroclinic conditions in the EM, and enhanced upper-level divergence (Figs. <xref ref-type="fig" rid="F8"/> and S5).</p></list-item></list></p>
      <p id="d2e2166">A decomposition of the winter regional moisture balance indicates that the wetter Levant winters following negative August AQA values are associated with changes in the mean flow (Fig. <xref ref-type="fig" rid="F6"/>), in agreement with the observed strengthening of the regional jet and the associated baroclinic instability inducing wetter winters. The strengthening of the subtropical jet is consistent with geostrophic enhancement (i.e., increasing horizontal pressure gradients with height) by the low north of the Aegean Sea. However, additional confounding factors such as interaction with the polar jet and eddy heat and momentum fluxes may also play a role <xref ref-type="bibr" rid="bib1.bibx14" id="paren.52"/>. Furthermore, the physical mechanisms underlying the lagged atmospheric response to sea surface conditions remain unclear, and may require further analysis of Mediterranean Sea dynamics, which have not been examined here. Given that remote regions are known to affect Levant precipitation (Fig. <xref ref-type="fig" rid="F1"/>), the relation of AQA and Levant precipitation may be mediated by contributing factors outside the Mediterranean basin. However, we find no appreciable statistical relations between AQA and indices known to be related to Levant precipitation, such as the North Atlantic Oscillation index (NAO), the Southern Oscillation index (SOI), and the SST anomaly in the NINO 3.4 region in the Pacific <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx5 bib1.bibx18 bib1.bibx44" id="paren.53"><named-content content-type="pre">Figs. <xref ref-type="fig" rid="F1"/> and S3;</named-content></xref>. Nevertheless, an indirect relation of Mediterranean Sea variability to remote regions cannot be ruled out as a contributing factor to the lagged response.</p>
      <p id="d2e2184">AQA, therefore, emerges as a potentially useful index for improving the skill of seasonal precipitation forecasts in the Levant, accounting for approximately one-third of inter-annual variability. In addition, the mechanisms linking AQA and Levant precipitation suggest that the representation in regional models of processes affecting Mediterranean cyclones, ocean-atmosphere heat exchange, and the subtropical jet, is key for improving seasonal forecasts <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx15 bib1.bibx51" id="paren.54"/>. We intend to isolate the processes contributing to the lagged response and assess their influence on seasonal forecast skill in future work.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e2195">The data presented here is available via the ECMWF Data Store and via the IMS website (<uri>https://ims.gov.il</uri>, last access: 7 January 2025). Code used in the analysis presented here can be obtained upon request.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e2202">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/wcd-7-263-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/wcd-7-263-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2211">Data analysis and writing were done by OC. OA and AH contributed to the conceptual derivation of the methodology and results. All other co-authors provided editorial contributions.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e2217">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e2223">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="d2e2229">The research was funded by Grant 4749 of the Israeli Ministry of Innovation, Science, and Technology. AH acknowledges support by the Israel Science Foundation (grant #978/23), the Nuclear Research Center of Israel, and the Planning and Budgeting Committee of the Israeli Council for Higher Education under the `Med World’ Consortium.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e2234">This research has been supported by the Ministry of Innovation, Science and Technology (grant no. 4749) and the Israel Science Foundation (grant no. 978/23).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e2240">This paper was edited by Silvio Davolio and reviewed by three anonymous referees.</p>
  </notes><ref-list>
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