<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpub-oasis3.dtd">
<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">OS</journal-id><journal-title-group>
    <journal-title>Ocean Science</journal-title>
    <abbrev-journal-title abbrev-type="publisher">OS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Ocean Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1812-0792</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/os-22-699-2026</article-id><title-group><article-title>Mechanisms driving mesoscale latent heat flux variations and mixed layer heat content evaluation in the Northwest Tropical Atlantic</article-title><alt-title>Mechanisms driving LHF variations</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Fernández</surname><given-names>Pablo</given-names></name>
          <email>pablo.fernandez-fernandez@locean.ipsl.fr</email>
        <ext-link>https://orcid.org/0009-0002-0678-1760</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Speich</surname><given-names>Sabrina</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5452-8287</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lapeyre</surname><given-names>Guillaume</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8187-8971</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Pasquero</surname><given-names>Claudia</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2211-7977</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5">
          <name><surname>Conejero</surname><given-names>Carlos</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7849-9823</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Renault</surname><given-names>Lionel</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3001-2091</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Desbiolles</surname><given-names>Fabien</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8047-602X</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Laboratoire d'Océanographie et du Climat: Expérimentations et Approches Numériques, Sorbonne Université, Paris, France</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>LMD/IPSL, École Normale Supérieure, Université PSL, CNRS, Sorbonne Université, École Polytechnique, IP Paris, France</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Earth and Environmental Sciences, University of Milano  –  Bicocca, Milan, Italy</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>LEGOS, University of Toulouse, IRD, CNRS, CNES, UPS, Toulouse, France</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>ENTROPIE (IRD, CNRS, Ifremer, Université de la Réunion, Université de la Nouvelle-Calédonie), Nouméa, New Caledonia</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Pablo Fernández (pablo.fernandez-fernandez@locean.ipsl.fr)</corresp></author-notes><pub-date><day>18</day><month>February</month><year>2026</year></pub-date>
      
      <volume>22</volume>
      <issue>1</issue>
      <fpage>699</fpage><lpage>725</lpage>
      <history>
        <date date-type="received"><day>1</day><month>August</month><year>2025</year></date>
           <date date-type="rev-request"><day>25</day><month>August</month><year>2025</year></date>
           <date date-type="rev-recd"><day>13</day><month>January</month><year>2026</year></date>
           <date date-type="accepted"><day>21</day><month>January</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Pablo Fernández 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://os.copernicus.org/articles/22/699/2026/os-22-699-2026.html">This article is available from https://os.copernicus.org/articles/22/699/2026/os-22-699-2026.html</self-uri><self-uri xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026.pdf">The full text article is available as a PDF file from https://os.copernicus.org/articles/22/699/2026/os-22-699-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e162">In this study, a high-resolution ocean-atmosphere coupled simulation is used to assess the effects of sea surface temperature (SST), surface currents, and ocean vertical stratification on the spatial variability of latent heat flux (LHF) and the stability of the marine atmospheric boundary layer (MABL) in the Northwest Tropical Atlantic during January and February 2020. The analysis focuses on the ocean mesoscale (<inline-formula><mml:math id="M1" display="inline"><mml:mi>O</mml:mi></mml:math></inline-formula>(50–250 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>)) across the Northwest Tropical Atlantic (referred to as the EURECA region in this study) and within three sub-regions characterized by different ocean dynamical regimes: Amazon, Downstream, and Tradewind. Results indicate that the coupling between SST and wind speed (and specific humidity) is stronger (weaker) in the Amazon and Downstream regions, influenced by the warm coastal North Brazil Current eddy corridor and the Amazon River plume, than in the Tradewind region, representative of the open ocean, consistent with previous remote sensing studies. Overall, warmer SSTs are associated with increased wind speeds and variations in specific humidity, deviating from Clausius–Clapeyron expectations. We interpret this as the result of active ocean processes modifying the near-surface atmosphere, enhancing vertical motion in the MABL, and transporting momentum and drier air from the free troposphere toward the surface. To further investigate the impact of mesoscale SST features on LHF, we apply a linear, SST-based downscaling method. Results show that these mesoscale SST structures induce a substantial increase in LHF, 46.8 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><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:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> on average in the Amazon and Downstream regions (warm eddy corridor). In the Tradewind region, the LHF sensitivity to SST is smaller, at about 35 <inline-formula><mml:math id="M4" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><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:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. For the Amazon region, of the 46.7 <inline-formula><mml:math id="M5" display="inline"><mml:mrow class="unit"><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:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> change in LHF associated with SST, approximately 7.8 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><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:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is attributed to direct mesoscale SST changes (thermodynamic contribution), while the remainder is linked to mesoscale SST-induced modifications in near-surface atmospheric circulation (dynamic contribution), mainly due to the mesoscale SST-induced humidity undersaturation imbalances. The influence of surface currents on LHF is weaker, with deviations not exceeding 15 <inline-formula><mml:math id="M7" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><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>. Finally, we focus on the SST mesoscale anomalies linked to the Amazon freshwater plume. We find them to be persistent throughout the period of study affecting LHF by the mechanisms described above. Lateral advection and heat loss to the atmosphere tend to dilute them with their environment by the end of the period of study. This work underscores the importance of a regionalized approach to mesoscale air-sea interaction studies in the Northwest Tropical Atlantic, as LHF sensitivity to SST and surface currents exhibits strong spatial variability driven by distinct oceanic dynamics. Submesoscale LHF sensitivity to SST and currents is not addressed here and will be the subject of future research.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Sorbonne Université</funding-source>
<award-id>PhD grant</award-id>
</award-group>
<award-group id="gs2">
<funding-source>European Commission</funding-source>
<award-id>TRIATLAS - Tropical and South Atlantic climate-based marine ecosystem predictions for sustainable management (817578)</award-id>
</award-group>
<award-group id="gs3">
<funding-source>Centre National d’Etudes Spatiales</funding-source>
<award-id>TOEddies</award-id>
<award-id>EUREC4A-OA</award-id>
</award-group>
<award-group id="gs4">
<funding-source>Institut Français de Recherche pour l'Exploitation de la Mer</funding-source>
<award-id>NA</award-id>
</award-group>
<award-group id="gs5">
<funding-source>École Normale Supérieure</funding-source>
<award-id>Chaire Chanel program of the Geosciences Department</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="d2e313">Turbulent heat fluxes (THFs, comprised of latent and sensible heat fluxes) are related to temperature (sensible) and moisture undersaturation (latent) imbalances at the air-sea interface. When examining air-sea interactions through THFs, it is common in the literature to distinguish between the ocean's large-scale and <italic>fine-scale</italic> processes, the latter including the mesoscale (<inline-formula><mml:math id="M8" display="inline"><mml:mi>O</mml:mi></mml:math></inline-formula>(50–250 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>)) and submesoscale (<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mi>O</mml:mi></mml:mrow></mml:math></inline-formula>(50 <inline-formula><mml:math id="M11" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>)) components. These <italic>fine-scale</italic> interactions with the atmosphere have been shown to differ significantly from large-scale processes <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx76 bib1.bibx33 bib1.bibx15" id="paren.1"/>. At large scales, atmospheric dynamics predominantly drive ocean variability <xref ref-type="bibr" rid="bib1.bibx35" id="paren.2"/>. However, at scales smaller than about 250 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, the ocean actively influences the near-surface atmosphere, affecting air temperature, frictional stress, and the stability of the marine atmospheric boundary layer <xref ref-type="bibr" rid="bib1.bibx75" id="paren.3"><named-content content-type="pre">MABLH;</named-content></xref>. Among THFs, this study focuses on latent heat flux (LHF) in the Northwest Tropical Atlantic, as it provides a direct link between atmospheric dynamics and thermodynamics. Indeed, the process of seawater evaporation cools the ocean surface, while the heat released during the subsequent moisture condensation warms the atmosphere. Warm and moist air in the atmosphere can become buoyant, triggering atmospheric convection and the formation of storms.</p>
      <p id="d2e375">The effects of <italic>fine-scale</italic> sea-surface temperature (SST) variability on the near-surface atmosphere and air-sea heat fluxes, have been investigated using satellite products <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx26" id="paren.4"/>, in-situ measurements <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx40 bib1.bibx27" id="paren.5"/>, atmospheric models <xref ref-type="bibr" rid="bib1.bibx5" id="paren.6"/> and coupled models <xref ref-type="bibr" rid="bib1.bibx76" id="paren.7"/>. In the literature, two primary mechanisms of lower atmospheric response to SST features have been identified: the downward momentum mixing <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx81" id="paren.8"><named-content content-type="pre">DMM;</named-content></xref> and the pressure adjustment <xref ref-type="bibr" rid="bib1.bibx44" id="paren.9"><named-content content-type="pre">PA;</named-content></xref>. The DMM mechanism consists in the destabilization of the MABL over a warm SST anomaly, which enhances vertical mixing (Fig. <xref ref-type="fig" rid="F1"/>a). This process facilitates the entrainment of drier air from the free troposphere into the MABL, thereby increasing surface winds and intensifying LHF <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx5" id="paren.10"/>. Conversely, cold SST anomalies suppress vertical mixing, leading to reduced surface winds and lower LHF. Thus, DMM provides a <italic>top-down</italic> mechanism by which <italic>fine-scale</italic> SST variability influences the near-surface atmosphere, a process known as thermal feedback <xref ref-type="bibr" rid="bib1.bibx66 bib1.bibx67" id="paren.11"><named-content content-type="pre">TFB;</named-content></xref>. PA, on the other hand, predicts that surface wind convergence (divergence) occurs over SST maxima (minima) as warm (cold) SST cores generate local sea level pressure lows (highs). This leads to weaker winds over SST extrema, resulting in lower LHF <xref ref-type="bibr" rid="bib1.bibx62" id="paren.12"/>. The influence of these mechanisms has been observed across various regions of the World Ocean on timescales ranging from hours to days and months <xref ref-type="bibr" rid="bib1.bibx73" id="paren.13"/>. <xref ref-type="bibr" rid="bib1.bibx29" id="text.14"/> found that PA tends to dominate where surface winds are well-coupled to upper-level winds, while DMM prevails in neutrally stable lower tropospheric conditions where SST effectively modulates surface winds <xref ref-type="bibr" rid="bib1.bibx21" id="paren.15"/>. Warm mesoscale eddies and fronts have been shown to enhance LHF via DMM in several regions, including the Gulf Stream <xref ref-type="bibr" rid="bib1.bibx56" id="paren.16"/>, the Kuroshio Extension <xref ref-type="bibr" rid="bib1.bibx82 bib1.bibx47 bib1.bibx12" id="paren.17"/>, the South China Sea <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx46" id="paren.18"/>, and the Agulhas <xref ref-type="bibr" rid="bib1.bibx60" id="paren.19"/> and Malvinas <xref ref-type="bibr" rid="bib1.bibx80 bib1.bibx43" id="paren.20"/> currents. Meanwhile, PA has been shown to impact cloud and precipitation patterns in the cold wake of tropical cyclones <xref ref-type="bibr" rid="bib1.bibx48" id="paren.21"/> through a cross-track secondary circulation <xref ref-type="bibr" rid="bib1.bibx62" id="paren.22"/>. Finally, <xref ref-type="bibr" rid="bib1.bibx16" id="text.23"/> showed that both PA and DMM are diminished when the model grid spacing is reduced and the full range of mesoscale structures is resolved due to a stronger submesoscale-induced atmospheric frontogenesis. In the Northwest Tropical Atlantic, <xref ref-type="bibr" rid="bib1.bibx26" id="text.24"/> found that DMM dominates over PA using multiple satellite products.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e464"><bold>(a)</bold> Schematic representation of the Downward Momentum Mixing (DMM) mechanism, adapted from <xref ref-type="bibr" rid="bib1.bibx53" id="text.25"/>. <bold>(b)</bold> Schematic representation of the Current Feedback (CFB) mechanism. Details on how to compute the CFB-induced wind anomaly (<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mtext>CFB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) are provided in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/></p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f01.png"/>

      </fig>

      <p id="d2e496">In addition to SST effects, surface currents, also influence wind stress and thus surface winds and LHF via a <italic>bottom-up</italic> process known as current feedback <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx10 bib1.bibx63 bib1.bibx64 bib1.bibx65" id="paren.26"><named-content content-type="pre">CFB;</named-content></xref>. Here, we focus on the CFB-induced surface wind response and its impact on LHF. When surface currents (black arrow in Fig. <xref ref-type="fig" rid="F1"/>b) and winds (blue arrow) align (left side of the eddy in Fig. <xref ref-type="fig" rid="F1"/>b), surface stress becomes reduced and an anomalous surface wind develops (orange arrow), reinforcing the prevailing wind field <xref ref-type="bibr" rid="bib1.bibx64" id="paren.27"/>. This enhances relative wind speed (the difference between surface wind and surface current velocities, represented by a green arrow) which becomes larger than if we had not accounted for CFB (purple arrow) and increases LHF. Conversely, when surface currents oppose surface winds, the CFB-induced wind anomaly weakens surface winds, which could lead to smaller LHF (right side of the eddy in Fig. <xref ref-type="fig" rid="F1"/>b).</p>
      <p id="d2e517">The significance of CFB in eddy dynamics has been highlighted in studies using remote sensing data <xref ref-type="bibr" rid="bib1.bibx31" id="paren.28"/> and high-resolution coupled simulations <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx64" id="paren.29"/>. Ignoring atmospheric adjustments to CFB might lead to an overestimation of eddy attenuation timescales and an underestimation of eddy amplitude and azimuthal speed. CFB might also shorten eddy lifetimes. Indeed, the observed composite life cycle reconstructed from satellite altimetry in <xref ref-type="bibr" rid="bib1.bibx64" id="text.30"/>, consists of a rapid early intensification, a prolonged slow CFB-induced decay, and an abrupt collapse at the end. This would imply that CFB systematically acts as an <italic>eddy-killer</italic>, transferring energy from mesoscale eddies to the atmosphere <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx22 bib1.bibx2 bib1.bibx58 bib1.bibx64" id="paren.31"/>. Furthermore, an inaccurate representation of CFB in numerical models has implications for biogeochemistry. In oligotrophic regions, mesoscale processes enhance the upward transport of limiting nutrients, supporting biological production <xref ref-type="bibr" rid="bib1.bibx51 bib1.bibx30" id="paren.32"/>. In coastal upwelling systems, such as along the Californian coast, eddies modulate biological productivity by subducting nutrients below the euphotic zone and advecting biogeochemical material offshore <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx57 bib1.bibx63" id="paren.33"/>. Misrepresenting CFB may lead to an overestimation of nutrient quenching and offshore transport, thereby impacting marine ecosystems by altering eddy amplitude, lifetime, and spatial extent.</p>
      <p id="d2e542">As stated above, this paper is focused on the Northwest Tropical Atlantic. The ocean circulation in this region, particularly near the Amazon River estuary, is dominated by the North Brazil Current (NBC), as illustrated in Fig. <xref ref-type="fig" rid="F2"/>a. The NBC is a strong western boundary current originating in the Equatorial and South Atlantic. Around 8° N, it separates from the coast, forming the NBC retroflection, which feeds the North Equatorial Countercurrent. The NBC system is closely linked to two major processes: the Amazon freshwater advection in the open ocean <xref ref-type="bibr" rid="bib1.bibx68" id="paren.34"/> and the periodic formation of mesoscale eddies known as NBC rings <xref ref-type="bibr" rid="bib1.bibx41 bib1.bibx69" id="paren.35"/>. These processes are interconnected, as NBC rings facilitate the offshore transport and the lateral spreading of the Amazon river plume induced by mesoscale advection and smaller-scale instabilities <xref ref-type="bibr" rid="bib1.bibx68 bib1.bibx59 bib1.bibx14" id="paren.36"/> before coalescing and dissipating due to their interaction with the complex topography near the Lesser Antilles <xref ref-type="bibr" rid="bib1.bibx78" id="paren.37"><named-content content-type="pre">Fig. <xref ref-type="fig" rid="F2"/>b;</named-content></xref>. This results in strong spatial heterogeneity in sea-surface salinity (SSS, Fig. <xref ref-type="fig" rid="F2"/>a), which also influences upper-ocean temperature by modulating stratification. When low salinity dominates the upper-ocean stratification, the ocean mixed layer (ML), the surface layer in direct contact with the atmosphere, becomes shallower. This can lead to the formation of barrier layers (BLs), which promote temperature inversions <xref ref-type="bibr" rid="bib1.bibx54 bib1.bibx50 bib1.bibx42 bib1.bibx14" id="paren.38"/>. In the presence of a BL, heat and momentum fluxes remain confined to the shallow ML, which responds more rapidly to atmospheric forcing. Consequently, the ML cools more quickly in winter and warms more rapidly in summer due to the inhibited exchange with deeper ocean layers <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx77" id="paren.39"/>. This leads to negative SST anomalies relative to surrounding waters over the Amazon plume and, in turn, reduced LHF in boreal winter. The opposite holds in boreal summer. However, the magnitude of this response remains debated. While observational studies suggest that BLs have a strong impact on SST <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx28" id="paren.40"/>, numerical models often fail to reproduce this effect <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx3 bib1.bibx39" id="paren.41"/>.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e580"><bold>(a)</bold> Major dynamical features of the western equatorial Atlantic (arrows) overlaid on the averaged sea-surface salinity (SSS) field from 17–19 February 2020. The SSS field is derived from the SMAP-SSS Level 3, version 4.0, 8 <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> running-mean gridded product <xref ref-type="bibr" rid="bib1.bibx6" id="paren.42"/>. The black box delineates the EURECA region, which corresponds to the simulation domain used in this study. <bold>(b)</bold> Seafloor depth from the simulation used in this study which is derived from the GEBCO 2020 global bathymetric dataset <xref ref-type="bibr" rid="bib1.bibx15" id="paren.43"/>. The three boxes delineate the three sub-regions within the EURECA domain assessed in this paper: Amazon, Downstream and Tradewind and the black contour represents the 100 <inline-formula><mml:math id="M15" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> isobath. Numbers 1 and 2 mark the locations of Trinidad and Tobago and a region near Barbados, respectively. These geographical references, along with the Lesser Antilles marked in panel <bold>(a)</bold>, are used throughout the main text. Detailed descriptions of the simulation used in this study and of the sub-regions follow in Sects. <xref ref-type="sec" rid="Ch1.S2"/> and <xref ref-type="sec" rid="Ch1.S3"/> respectively.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f02.png"/>

      </fig>

      <p id="d2e624">The objective of this study is to investigate how these processes (TFB and CFB) together with the Amazon plume affect LHF variations in the Northwest Tropical Atlantic, complementing previous research based on satellite/reanalysis products <xref ref-type="bibr" rid="bib1.bibx26" id="paren.44"/> and in-situ observations <xref ref-type="bibr" rid="bib1.bibx27" id="paren.45"/>. To achieve this, we utilize the high-resolution regional coupled simulation described in <xref ref-type="bibr" rid="bib1.bibx15" id="text.46"/>, fully resolving the ocean mesoscale. Such a simulation provides a view in three dimensions of both the ocean and the atmosphere, allowing for statistical robust results. This contrasts with satellite observations, which only provide ocean or atmosphere surface fields. In-situ observations from vertical transects, in turn, do provide high-resolution information about vertical structures, but they are sparse in time and space.</p>
      <p id="d2e637">This research is conducted within the framework of the <italic>Elucidating the Role of Cloud-Circulation Coupling in Climate – Ocean Atmosphere</italic> (EUREC<sup>4</sup>A-OA, <uri>http://www.eurec4a.eu</uri>, last access: 12 January 2026) and the <italic>Atlantic Tradewind Ocean-Atmosphere Mesoscale Interaction Campaign</italic> (ATOMIC, <uri>https://psl.noaa.gov/atomic/</uri>, last access: 12 January 2026) field experiments. The paper is structured as follows: Sect. <xref ref-type="sec" rid="Ch1.S2"/> describes the simulation configuration. Section <xref ref-type="sec" rid="Ch1.S3"/> presents the methods used to analyze model data. The main results are discussed in Sect. <xref ref-type="sec" rid="Ch1.S4"/>, followed by conclusions and future perspectives in Sect. <xref ref-type="sec" rid="Ch1.S5"/>.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data</title>
      <p id="d2e678">This study utilizes the EURECA ocean-atmosphere coupled simulation <xref ref-type="bibr" rid="bib1.bibx15" id="paren.47"/>. The ocean component is based on the Coastal and Regional Ocean COmmunity (CROCO) model <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx19" id="paren.48"/>, while the atmospheric component employs the Weather Research and Forecasting (WRF) model <xref ref-type="bibr" rid="bib1.bibx72" id="paren.49"/>. The two models are coupled via OASIS <xref ref-type="bibr" rid="bib1.bibx17" id="paren.50"/>, which performs the grid interpolation and temporal averaging for property exchanges between the two model components every hour. Specifically, the ocean model provides SST and surface currents to the atmosphere, while WRF returns surface heat, momentum, and water fluxes to CROCO. Further details on the EURECA simulation configuration are available in <xref ref-type="bibr" rid="bib1.bibx15" id="text.51"/>.</p>
      <p id="d2e696">The EURECA simulation spans from January 2019 to June 2020, though this study focuses on the January–February (JF) 2020 period. The CROCO domain extends from 5.5 to 15.5° N and 62 to 52° W, with a horizontal resolution of 1 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. Initial and lateral open boundary conditions are provided by the “Antilles” simulation, which employs the same coupled configuration but at a coarser resolution over a larger domain, including parts of the Caribbean Sea <xref ref-type="bibr" rid="bib1.bibx16" id="paren.52"/>.</p>
      <p id="d2e710">The WRF domain in EURECA is slightly larger than the ocean domain to mitigate sponge effects. The atmospheric model runs at a horizontal resolution of approximately 2 <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>, with outputs available on 40 <inline-formula><mml:math id="M19" display="inline"><mml:mi mathvariant="italic">η</mml:mi></mml:math></inline-formula> vertical levels. To analyze the first 2000 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of the atmosphere, these levels are linearly interpolated to uniform 100 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> vertical spacing. Initial and boundary conditions, provided by the “Antilles” simulation, are updated every 3 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>. Bulk formulations <xref ref-type="bibr" rid="bib1.bibx25" id="paren.53"/> are used to estimate freshwater and turbulent fluxes, which are then fed into the ocean model. The CFB effect is implemented in both the surface and planetary boundary layer schemes, following <xref ref-type="bibr" rid="bib1.bibx65" id="text.54"/>. WRF variables at multiple vertical levels are stored every 3 <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, while surface variables are recorded hourly.</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methodology</title>
      <p id="d2e775">Following <xref ref-type="bibr" rid="bib1.bibx27" id="text.55"/>, we remove the diurnal cycle from all variables before analyzing LHF sensitivity to the surface ocean. This is achieved by computing daily means from the WRF/CROCO outputs, and all subsequent calculations are performed on these averaged variables. It is important to note that this procedure filters out part of the ocean submesoscale variability. Consequently, this paper deals exclusively with the ocean mesoscale. We briefly return to this point in Sect. <xref ref-type="sec" rid="Ch1.S5"/>.</p>
      <p id="d2e783">All analyses are performed in four regions. First, we consider the full simulation domain, referred to as the EURECA domain (5.5–15° N, 62–52° W). Additionally, we examine three distinct sub-regions: Amazon (7–9° N, 56–53° W), Downstream (9–11° N, 59–56° W) and  Tradewind (12–14° N, 58–52.5° W). Figure <xref ref-type="fig" rid="F2"/>b displays three boxes delineating the sub-regions. The three subdomains are characterized by different ocean dynamics and air-sea interactions. The Tradewind sub-region, representative of the open ocean, is relatively quiescent, whereas the Downstream sub-region, closer to the coast, exhibits enhanced <italic>fine-scale</italic> ocean activity. In turn, the warm and fresh surface waters associated with the Amazon plume are advected into the Amazon sub-region as shown in following sections. These regional differences have been highlighted in previous studies based on remote sensing and reanalysis data <xref ref-type="bibr" rid="bib1.bibx26" id="paren.56"/>, as well as in-situ observations <xref ref-type="bibr" rid="bib1.bibx27" id="paren.57"/>. To ensure consistency with these studies we focus on the JF 2020 period. In some cases, the results are only presented for February 2020 to highlight the impacts of the Amazon freshwater plume, which only reaches Amazon by mid-February. This is clearly indicated.</p>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Coupling Coefficients</title>
      <p id="d2e804">Following <xref ref-type="bibr" rid="bib1.bibx64" id="text.58"/>, <xref ref-type="bibr" rid="bib1.bibx66" id="text.59"/>, and <xref ref-type="bibr" rid="bib1.bibx15" id="text.60"/>, we estimate several air-sea coupling coefficients as the statistically significant slope (determined via a two-sided <inline-formula><mml:math id="M24" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test) of the linear regression between the binned distributions of mesoscale anomalies from two variables. For all coefficient calculations, we exclude mesoscale anomalies located on the continental shelf (regions where the seafloor is shallower than 100 <inline-formula><mml:math id="M25" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, see Fig. <xref ref-type="fig" rid="F2"/>b) and the Lesser Antilles (west of 60.25° W), as these areas can be affected by orography, land-sea interactions, and coastline effects <xref ref-type="bibr" rid="bib1.bibx20" id="paren.61"/>.</p>
      <p id="d2e837">To compute mesoscale anomalies we use a combination of time and spatial filters. In order to remove weather-induced synoptic variability from the atmospheric variables (winds, specific humidity, and air temperature), we first apply a 29 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> running mean as in <xref ref-type="bibr" rid="bib1.bibx11" id="text.62"/>, <xref ref-type="bibr" rid="bib1.bibx66" id="text.63"/>, and <xref ref-type="bibr" rid="bib1.bibx15" id="text.64"/>. To isolate the mesoscale band, we apply a band-pass isotropic Gaussian filter with a 50–250 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> cutoff length <xref ref-type="bibr" rid="bib1.bibx66" id="paren.65"/>, to the 29 <inline-formula><mml:math id="M28" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula> running mean dataset and keep the scales between 50–250 <inline-formula><mml:math id="M29" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>. After performing the filtering for the whole EURECA domain, we select the anomalies in Amazon, Downstream and Tradewind to operate on them separately.</p>
      <p id="d2e885">To characterize the effect of surface currents on near-surface winds (CFB) we compute <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the coupling coefficient between surface current vorticity and surface wind curl anomalies <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx66" id="paren.66"/>. Note that, since mesoscale currents are nearly in geostrophic balance (and therefore non-divergent), <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> effectively isolates the CFB from the TFB at the mesoscale <xref ref-type="bibr" rid="bib1.bibx66" id="paren.67"/>. Using <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the CFB-induced wind anomaly (<inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mtext>CFB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) reads: 

                <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M34" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mtext>CFB</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub><mml:msub><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> stands for surface currents. Recall that <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mtext>CFB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is represented in orange arrows in Fig. <xref ref-type="fig" rid="F1"/>b.</p>
      <p id="d2e998">Finally, we also calculate the coupling coefficients of near-surface wind speed (<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), near-surface specific humidity (<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and near-surface atmospheric temperature (<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) mesoscale anomalies with respect to SST mesoscale anomalies.   Table <xref ref-type="table" rid="T1"/> provides a summary of the coupling coefficients described above.</p>

<table-wrap id="T1"><label>Table 1</label><caption><p id="d2e1040">Overview of the coupling coefficients.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Coupling</oasis:entry>
         <oasis:entry colname="col2">Description</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Coefficient</oasis:entry>
         <oasis:entry colname="col2"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">surface current vorticity and surface wind curl</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">SST and surface wind magnitude</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">SST and surface specific humidity</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">SST and surface temperature</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>LHF Sensitivity to SST and Surface Currents</title>
      <p id="d2e1155">To evaluate how LHF responds to SST and surface currents, we compute multiple LHF datasets using the COARE3.5 algorithm <xref ref-type="bibr" rid="bib1.bibx24" id="paren.68"/>. First, we calculate <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mi>U</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, which represents the LHF dataset obtained using the atmospheric variables of the first WRF vertical level (surface winds, air temperature and specific humidity) together with SST. Note that we do not consider relative winds (i.e. the difference between surface winds and surface currents) to compute <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mi>U</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Additionally, we compute <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, which corresponds to LHF computed with the same variables as <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mi>U</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, but smoothed with a Gaussian low-pass filter (cutoff length of 250 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>). Again, we do not consider relative winds in the calculation of <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> either.</p>
      <p id="d2e1225">We then apply the LHF downscaling algorithm developed by <xref ref-type="bibr" rid="bib1.bibx26" id="text.69"/>. Given a <italic>smoothed</italic> variable (<inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ψ</mml:mi><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), we reconstruct a new dataset incorporating the finer-scale SST features (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Ψ</mml:mi><mml:mtext>HR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) as:

                <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M52" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:msub><mml:mi mathvariant="normal">Ψ</mml:mi><mml:mtext>HR</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">Ψ</mml:mi><mml:mtext>LR</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>s</mml:mi><mml:mi mathvariant="italic">ψ</mml:mi></mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>SST</mml:mtext><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1288">Here, <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>SST</mml:mtext></mml:mrow></mml:math></inline-formula> represents the SST correction, which accounts for deviations of the high-resolution SST field from the coarse <italic>smoothed</italic> SSTs. To ensure that the domain-averaged SST correction is zero and that the area-weighted means of the variables remain conserved, <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>SST</mml:mtext></mml:mrow></mml:math></inline-formula> is computed as:

                <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M55" display="block"><mml:mstyle displaystyle="true" class="stylechange"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>SST</mml:mtext><mml:mo>=</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mtext>SST</mml:mtext><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mtext>SST</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mtext>SST</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mrow><mml:msub><mml:mtext>SST</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1360"><inline-formula><mml:math id="M56" display="inline"><mml:mover accent="true"><mml:mtext>Overbars</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> denote the spatial average over the region of study. Thus, to compute <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>HR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, we statistically downscale each of the variables driving LHF (surface wind, specific humidity air temperature and SST) using its corresponding coupling coefficient, as detailed above, and we then apply COARE3.5 with the downscaled variables. Note that we do not use relative winds for <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>HR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> either.</p>
      <p id="d2e1395">One shortcoming of this downscaling algorithm is the assumption that the reconstruction of the finer-scale fields exclusively depends on SST changes, which is not always the case <xref ref-type="bibr" rid="bib1.bibx76" id="paren.70"><named-content content-type="pre">i.e. specific humidity depends on wind speed;</named-content></xref>. However, the algorithm has been shown to improve LHF estimations by a factor of two in an ensemble of SST-forced WRF atmospheric simulations <xref ref-type="bibr" rid="bib1.bibx26" id="paren.71"/> and allows to isolate the contributions from the different LHF controlling variables (i.e. surface winds, specific humidity etc) when the ocean SST mesoscale effect in them is considered. These facts along with its simplicity of implementation encourage us to use it here despite this shortcoming.</p>
      <p id="d2e1406">To isolate the thermodynamic contribution (i.e. LHF variations solely due to SST changes via modifications of the saturation specific humidity maintaining relative humidity at its <italic>smoothed</italic> value) to LHF sensitivity, we compute an additional LHF dataset, denoted as <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>therm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. In this dataset, air temperature and SST are modified adding <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>SST</mml:mtext></mml:mrow></mml:math></inline-formula> (no <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> involved here in order to keep the air-sea temperature imbalance constant, although a proper downscaling of air temperature using Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) does not significantly modify the results, suggesting a weak role of air temperature in LHF sensitivity to SST) and wind speed and relative humidity remain with their <italic>smoothed</italic> values. The specific humidity required to obtain <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>therm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is derived from the <italic>smoothed</italic> relative humidity and the specific humidity of saturation computed with <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mtext>SST</mml:mtext><mml:mtext>HR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> via the Clausius–Clapeyron equation. This ensures that the specific humidity variations for this LHF subset are only due to SST mesoscale changes themselves without the effects of the atmospheric-induced modifications of mesoscale SST structures (i.e. entrainment of drier air from the free troposphere associated with DMM).</p>
      <p id="d2e1475">Moreover, we compute <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mrow><mml:mtext>therm</mml:mtext><mml:mo>-</mml:mo><mml:mi>U</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> to further distinguish, within the dynamic contribution, the effects of wind speed and relative humidity. The dynamic contribution represents LHF changes associated with the mesoscale SST-induced modifications of the near-surface atmosphere (winds and relative humidity, the contribution of air-temperature is negligible and not assessed here). Thus, in <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mrow><mml:mtext>therm</mml:mtext><mml:mo>-</mml:mo><mml:mi>U</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, air temperature, and surface winds are downscaled, while specific humidity is obtained as in <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>therm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (i.e. using the smoothed relative humidity and the downscaled saturation specific humidity). This means that the only change between <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>HR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mrow><mml:mtext>therm</mml:mtext><mml:mo>-</mml:mo><mml:mi>U</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is that specific humidity in the latter is scaled maintaining relative humidity at its <italic>smoothed</italic> value whereas in the former, specific humidity is downscaled with Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>). Thus, <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mrow><mml:mtext>therm</mml:mtext><mml:mo>-</mml:mo><mml:mi>U</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> accounts for both the thermodynamic contribution to LHF sensitivity to SST and the effect of SST-induced mesoscale surface wind changes, but it does not account for any effect of SST anomalies on relative humidity.</p>
      <p id="d2e1570">Finally, to assess the contributions of surface currents in LHF variations, we consider two additional LHF datasets. <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>orig</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is computed using the original WRF variables in COARE3.5, but replacing the first vertical model-level wind speed with relative winds. Thus, the difference <inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>orig</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mi>U</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the variations in LHF associated with the consideration of relative winds instead of just surface winds when computing LHF. Meanwhile, <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>no-CFB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> stands for LHF computed with relative winds, but with the CFB-induced wind anomaly (<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mtext>CFB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>, represented in orange arrows in Fig. <xref ref-type="fig" rid="F1"/>b) removed component-wise. Hence, <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>orig</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>no-CFB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> contains the CFB effect on LHF. Table <xref ref-type="table" rid="T2"/> contains a summary of the different processes targeted and the LHF dataset differences used to isolate them.</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e1654">Processes targeted and corresponding LHF datasets used to isolate them.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="4cm"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="8cm"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="4cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Name</oasis:entry>
         <oasis:entry colname="col2">Description</oasis:entry>
         <oasis:entry colname="col3">LHF Dataset Difference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Total LHF sensitivity to SST mesoscale anomalies</oasis:entry>
         <oasis:entry colname="col2">Thermodynamic plus dynamic contributions</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>HR</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Thermodynamic contribution</oasis:entry>
         <oasis:entry colname="col2">LHF changes induced by SST mesoscale anomalies solely through variations on the saturation specific humidity without accounting for any change in relative humidity</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>therm</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Dynamic contribution</oasis:entry>
         <oasis:entry colname="col2">LHF changes induced by SST mesoscale anomalies via the modulation of wind speed and relative humidity</oasis:entry>
         <oasis:entry colname="col3">Comparison between <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>HR</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>therm</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Thermodynamic contribution + winds</oasis:entry>
         <oasis:entry colname="col2">LHF changes induced by the thermodynamic contribution plus the fraction of the dynamic contribution associated with surface winds</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mrow><mml:mtext>therm</mml:mtext><mml:mo>-</mml:mo><mml:mi>U</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Effect of relative winds</oasis:entry>
         <oasis:entry colname="col2">LHF changes induced by the consideration of relative winds instead of surface winds when computing LHF</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>orig</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mi>U</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Current feedback effect</oasis:entry>
         <oasis:entry colname="col2">LHF changes associated with the current feedback-induced surface wind variations</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>orig</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>no-CFB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Mixed Layer Heat Budget</title>
      <p id="d2e1888">As shown later, the Amazon sub-region is crossed by the fresher Amazon River plume waters, which affect ocean stratification and the SST mesoscale anomaly field in the sub-region. To provide a broader insight on the linkages between SST anomalies and the processes leading to heat redistribution in the Amazon plume, we present a mixed layer heat budget analysis in the Amazon sub-region. Based on observational studies in the region <xref ref-type="bibr" rid="bib1.bibx68" id="paren.72"/>, we set the boundary of the Amazon plume at the 35 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula> isoline (Amazon plume waters <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M84" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula>).</p>
      <p id="d2e1920">The temperature equation, vertically integrated down to the mixed layer depth reads <xref ref-type="bibr" rid="bib1.bibx79" id="paren.73"/>:

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M85" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:msub><mml:mfenced open="〈" close="〉"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:mfenced><mml:mi>H</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>Total tendency</mml:mtext></mml:munder><mml:mo>=</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:msub><mml:mfenced close="〉" open="〈"><mml:mrow><mml:mo>-</mml:mo><mml:mi>u</mml:mi><mml:msub><mml:mo>∂</mml:mo><mml:mi>x</mml:mi></mml:msub><mml:mi mathvariant="normal">T</mml:mi><mml:mo>-</mml:mo><mml:mi>v</mml:mi><mml:msub><mml:mo>∂</mml:mo><mml:mi>y</mml:mi></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:mfenced><mml:mi>H</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>Horizontal advection</mml:mtext></mml:munder><mml:mo>-</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:msub><mml:mfenced close="〉" open="〈"><mml:mrow><mml:mi>w</mml:mi><mml:msub><mml:mo>∂</mml:mo><mml:mi>z</mml:mi></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:mfenced><mml:mi>H</mml:mi></mml:msub></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>Vertical advection</mml:mtext></mml:munder></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="Ch1.E4"><mml:mtd><mml:mtext>4</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mo>+</mml:mo><mml:mover><mml:mover accent="true" class="overbrace"><mml:mrow><mml:munder><mml:munder class="underbrace"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mi>H</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mtext>ns</mml:mtext></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:msub><mml:mi>C</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mi>H</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>Atmospheric forcing</mml:mtext></mml:munder></mml:mrow><mml:mo mathvariant="normal">︷</mml:mo></mml:mover><mml:mrow><mml:mtext>Forcing </mml:mtext><mml:mi mathvariant="script">F</mml:mi></mml:mrow></mml:mover><mml:mo>+</mml:mo><mml:mover><mml:mover accent="true" class="overbrace"><mml:mrow><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:msub><mml:mi>H</mml:mi></mml:mrow><mml:mi>H</mml:mi></mml:mfrac></mml:mstyle><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>H</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mfenced open="〈" close="〉"><mml:mi>T</mml:mi></mml:mfenced><mml:mi>H</mml:mi></mml:msub></mml:mrow></mml:mfenced></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>Entrainment</mml:mtext></mml:munder><mml:mo>+</mml:mo><mml:mtext>Residual</mml:mtext></mml:mrow><mml:mo mathvariant="normal">︷</mml:mo></mml:mover><mml:mrow><mml:mtext>Mixing</mml:mtext><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi mathvariant="script">D</mml:mi></mml:mrow></mml:mover></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          where angle brackets (<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mfenced close="〉" open="〈"/></mml:mrow></mml:math></inline-formula>) indicate integration down to the base of the mixed layer. To facilitate interpretation, the mixed layer depth (MLD) is denoted as <inline-formula><mml:math id="M87" display="inline"><mml:mi>H</mml:mi></mml:math></inline-formula> in Eq. (<xref ref-type="disp-formula" rid="Ch1.E4"/>). In this equation, <inline-formula><mml:math id="M88" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> represents the ocean temperature, <inline-formula><mml:math id="M89" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M90" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M91" display="inline"><mml:mi>w</mml:mi></mml:math></inline-formula> denote the zonal, meridional, and vertical currents, respectively, and <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the temperature at the base of the mixed layer.  The MLD is computed using a density threshold criterion of <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, following <xref ref-type="bibr" rid="bib1.bibx34" id="text.74"/>. This criterion yields MLD values consistent with the in-situ observations' in <xref ref-type="bibr" rid="bib1.bibx27" id="text.75"/>. In Eq. (<xref ref-type="disp-formula" rid="Ch1.E4"/>), <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the solar component of the total heat flux, primarily shortwave radiation (SW). <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi>H</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> denotes the fraction of solar radiation reaching the ML base.</p>
      <p id="d2e2247">Note that the flux sign convention differs when computing the MLD heat budget compared to the atmospheric convention: fluxes directed from the ocean to the atmosphere are considered negative, as they contribute to ML cooling. Finally, the EURECA simulation employs the COARE3.0 bulk formulae <xref ref-type="bibr" rid="bib1.bibx25" id="paren.76"/> to compute turbulent heat fluxes (THFs). For consistency, model-derived THFs are used when calculating the ML heat budget. However, we used COARE3.5 <xref ref-type="bibr" rid="bib1.bibx24" id="paren.77"/> to assess LHF sensitivity to SST and surface currents. This does not lead to any inconsistency in the results, since we always compare between LHFs computed with the same algorithm. In addition, we verified that the differences between both algorithms are small compared to the LHF difference values obtained in this article.</p>
      <p id="d2e2256">Finally, the residual term in Eq. (<xref ref-type="disp-formula" rid="Ch1.E4"/>) accounts for horizontal and vertical diffusion, as well as numerical errors associated with the computation of the other terms. The reader is referred to Appendix <xref ref-type="sec" rid="App1.Ch1.S1"/> for further details on the most appropriate way to compute the residual to minimize numerical errors. Additionally, we explore various criteria to determine whether vertical or horizontal diffusion dominates the residual in Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>.</p>
      <p id="d2e2266">Another important quantity used to analyze the effects of water temperature in vertical stratification is the base of the isothermal layer (THERM). As in <xref ref-type="bibr" rid="bib1.bibx34" id="text.78"/>, we estimate it as the depth at which the water temperature is 0.2 <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> lower than the 10 <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> depth level temperature. Therefore, the barrier layer thickness (BLT) results from the difference between THERM and MLD. Finally, to quantify the relative importance of salinity in ocean stratification, we use the Ocean Stratification Strength (OSS) indicator <xref ref-type="bibr" rid="bib1.bibx49 bib1.bibx34" id="paren.79"/>: 

                <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M98" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle class="stylechange" displaystyle="true"/><mml:mtext>OSS</mml:mtext><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mi>N</mml:mi><mml:mi>S</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e2325">Here, <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> represents the Brunt–Väisälä frequency, while <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msubsup><mml:mi>N</mml:mi><mml:mi>S</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> denotes the Brunt–Väisälä frequency computed using a constant representative temperature, allowing only for salinity variations. OSS values greater than 50 <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> indicate that salinity dominates over temperature in controlling ocean vertical stratification.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Air-Sea Interface</title>
      <p id="d2e2377">Figure <xref ref-type="fig" rid="F3"/> presents the JF 2020 mean state of different air-sea interface variables in the Northwest Tropical Atlantic. The shading in Fig. <xref ref-type="fig" rid="F3"/>a represents SST, highlighting a warm water stripe (<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">27.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M103" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) along the South American coast, extending from the southernmost coastal point in the domain to Trinidad and Tobago. To its east, a parallel cold SST band (<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">25.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) borders Trinidad and Tobago and extends northward towards the Lesser Antilles. Longitude-depth transects of seawater temperature, salinity and vertical velocity at different latitudes show that the sharp topography of the region where the cold SST band lies (Fig. <xref ref-type="fig" rid="F2"/>b) induces the surface upwelling of cooler deeper waters (not shown). Further offshore, SST values remain relatively homogeneous (<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">27</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M107" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>), although localized anomalies are observed, such as the warmer region to the east of the Amazon subdomain. Contours in Fig. <xref ref-type="fig" rid="F3"/>a show first vertical level specific humidity, which is highest near the South American coast and decreases towards the northeast.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2451">JF 2020 mean of <bold>(a)</bold> SST (in <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, shaded) and near-surface specific humidity (in g <inline-formula><mml:math id="M109" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, contours), <bold>(b)</bold> LHF (in <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><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>, shaded) and near-surface wind speed (in <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, contours), <bold>(c)</bold> MABLH (in m, shaded) and surface winds (arrows), and <bold>(d)</bold> SSS (in psu, shaded) and surface currents (in <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, arrows). In all panels, from north to south, the three boxes delineate the Tradewind, Downstream, and Amazon sub-regions and numbers 1 and 2 are placed over Trinidad and Tobago and a region near Barbados respectively.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f03.png"/>

        </fig>

      <p id="d2e2548">Figure <xref ref-type="fig" rid="F3"/>b displays near-surface wind speed (contours), which varies between 7.5–8.2 <inline-formula><mml:math id="M113" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The LHF spatial pattern (shading) closely follows the SST distribution in Fig. <xref ref-type="fig" rid="F3"/>a, with the highest LHF values (<inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">180</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><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>) occurring over the warm coastal stripe and in the open ocean, and the lowest values (<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><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>) located over the cold SST band extending across the continental shelf. Other patches of relatively low LHF are observed offshore over cooler SSTs such as the ones west of Barbados.</p>
      <p id="d2e2629">To further characterize the atmospheric JF 2020 spatial pattern, Fig. <xref ref-type="fig" rid="F3"/>c presents the MABLH (shading) and surface winds (arrows). Consistent with the DMM mechanism, the shallowest MABL depths (<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) align with the cold SST stripe, whereas deeper MABL values occur over the open ocean, where SSTs and wind speeds are higher. The dominant wind direction shifts from easterly in the open ocean to northeasterly (trades) closer to the coast. Figure <xref ref-type="fig" rid="F3"/>d displays surface currents (arrows) and SSS (shading). In the southeastern domain, strong northwesterly currents (NBC) advect a low-salinity patch (<inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mtext>SSS</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M121" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula>), whose shape and extent are modulated by local eddy-driven circulation. Finally, near Trinidad and Tobago, a second region of enhanced surface currents exhibits a clockwise rotation, at 10° N, 58° W. This eddy, which remains nearly stationary during JF 2020, lacks a strong salinity signature at the surface. This signature is observed when studying its vertical structure (not shown).</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Coupling Coefficients</title>
      <p id="d2e2683">To assess the relationship between SST/surface current anomalies and the near surface atmosphere at the mesoscale, we compute the coupling coefficients as defined in Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>. Note that these coupling coefficients will be needed to statistically downscale each of the LHF controlling variables (Eq. <xref ref-type="disp-formula" rid="Ch1.E2"/>) in the following sections. Since the ocean dynamics is different between sub-regions, we compute the coupling coefficients separately in EURECA, Amazon, Downstream and Tradewind. Figure <xref ref-type="fig" rid="F4"/>, illustrates the value of the coupling coefficients and the binned linear regressions are displayed Appendix <xref ref-type="sec" rid="App1.Ch1.S3"/>.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2696">Mesoscale coupling coefficients <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (red), <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (cyan), <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (orange) and <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (green). In each dot quartet, from left to right, the markers represent the corresponding coupling coefficient in the EURECA, Amazon, Downstream and Tradewind domains respectively. The error bars depict the standard error of the slope. All the coefficients displayed here are statistically significant at the 95 <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> level after a two-sided <inline-formula><mml:math id="M127" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f04.png"/>

        </fig>

      <p id="d2e2765">The first four red markers in Fig. <xref ref-type="fig" rid="F4"/> present the spatial distribution of the slope of the linear regression between the mesoscale surface current vorticity and surface wind curl anomalies. Recall that this linear  regression results in the coupling coefficient named <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, used to assess the CFB. The intensity of <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> can be interpreted as the efficiency of the partial re-energization of the ocean through the wind response to CFB <xref ref-type="bibr" rid="bib1.bibx64 bib1.bibx66" id="paren.80"/>. Mesoscale <inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values range from 0.22 to 0.28, with weaker coupling in the Amazon and Tradewind subdomains (0.22 and 0.24 respectively). The strongest mesoscale coupling is found in EURECA and in the Downstream subdomain, where <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> reaches 0.28 and 0.26 respectively.</p>
      <p id="d2e2819">In other words, these <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values indicate that a mesoscale eddy with a velocity of 1 <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> induces, on average, a wind speed anomaly of 0.28 <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the EURECA domain, which in turn influences LHF estimations through changes in surface winds as shown in Fig. <xref ref-type="fig" rid="F1"/>b. They also show the spatial variability in the strength of the coupling. The interactions are stronger within regions with nearly stationary mesoscale eddies like Downstream than in Tradewind (open ocean).</p>
      <p id="d2e2869"><inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is displayed in the second four cyan markers of Fig. <xref ref-type="fig" rid="F4"/>. It is positive in the four domains: warm (cold) SST anomalies increase (decrease) surface winds, which is consistent with the DMM mechanism. <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is weaker in Tradewind (open ocean, 0.11 <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) than in Amazon and Downstream (warm eddy corridor, 0.29 and 0.31 <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> respectively). This feature has been previously found in <xref ref-type="bibr" rid="bib1.bibx26" id="text.81"/> using satellite observations. The entire EURECA region produces a <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of 0.26 <inline-formula><mml:math id="M140" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e2988">Another key variable driving LHF is near-surface specific humidity (<inline-formula><mml:math id="M141" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula>). As with wind speed, we use the specific humidity from the first vertical level in the WRF simulation at about 10 <inline-formula><mml:math id="M142" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. The four orange markers in Fig. <xref ref-type="fig" rid="F4"/> show the associated coupling coefficient <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. It  exhibits weak negative values over the Amazon (<inline-formula><mml:math id="M144" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.05 <inline-formula><mml:math id="M145" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), Downstream (<inline-formula><mml:math id="M146" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.09 <inline-formula><mml:math id="M147" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and EURECA  <xref ref-type="bibr" rid="bib1.bibx26" id="paren.82"><named-content content-type="pre"><inline-formula><mml:math id="M148" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.03 <inline-formula><mml:math id="M149" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; in agreement with</named-content></xref>, while a stronger positive value appears associated with the Tradewind subdomain (0.24 <inline-formula><mml:math id="M150" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The underlying physical explanation is as follows: at scales larger than the mesoscale, evaporation is sufficient for specific humidity to adjust to SST according to the Clausius–Clapeyron equation. This adjustment rate was estimated to be 1.3 <inline-formula><mml:math id="M151" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> through linearization of the Clausius–Clapeyron equation in <xref ref-type="bibr" rid="bib1.bibx26" id="text.83"/>. However, at the mesoscale this equilibrium does not hold, as <inline-formula><mml:math id="M152" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> does not have sufficient time to adjust to SST variations, resulting in a weak correlation between the two variables. For example, in Amazon, the mesoscale <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is negative meaning that specific humidity decreases with increasing SST. This behavior may reflect the entrainment of colder and drier air from the free troposphere due to the DMM mechanism. On the contrary, even though <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is positive in Tradewind, when examining in detail the binned distribution, we find a negative (positive) slope for negative (positive) SST mesoscale anomalies separately (Fig. <xref ref-type="fig" rid="FC3"/>d of Appendix C). This fact highlighs this decoupling between SST and <inline-formula><mml:math id="M155" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> at the mesoscale.</p>
      <p id="d2e3217">Finally, the last four green markers in Fig. <xref ref-type="fig" rid="F4"/> represent <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the different domains. As expected, they all are positive: higher SST implies higher surface air temperature. In addition, <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is strongest in Tradewind (<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn></mml:mrow></mml:math></inline-formula>) where the SST-associated wind speed and specific humidity variations are weaker. This might result from a decreased advection of other air masses with different temperature which could locally modify temperature values close to the surface.</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>LHF Sensitivity to SST and Currents</title>
      <p id="d2e3262">To evaluate the representation of LHF sensitivity to SST in the EURECA simulation, we perform a linear regression between LHF variations and the SST correction (<inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>SST</mml:mtext></mml:mrow></mml:math></inline-formula>, see Eq. <xref ref-type="disp-formula" rid="Ch1.E3"/>) for the different LHF subsets detailed in Sect. <xref ref-type="sec" rid="Ch1.S3.SS2"/>. The results are presented in Fig. <xref ref-type="fig" rid="F5"/> for the EURECA domain (first row), the Amazon sub-region (second row), the Downstream sub-region (third row), and the Tradewind sub-region (fourth row).</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3283">LHF sensitivity to <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>SST</mml:mtext></mml:mrow></mml:math></inline-formula> (see Eq. <xref ref-type="disp-formula" rid="Ch1.E3"/>) across different regions. Each row corresponds to a specific domain: the EURECA region (first row), the Amazon sub-region (second row), the Downstream sub-region (third row), and the Tradewind sub-region (fourth row). Panels <bold>(a)</bold>, <bold>(c)</bold>, <bold>(e)</bold>, and <bold>(g)</bold> display the difference between <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>HR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as a function of <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>SST</mml:mtext></mml:mrow></mml:math></inline-formula>. Panels <bold>(b)</bold>, <bold>(d)</bold>, <bold>(f)</bold>, and <bold>(h)</bold> show the differences between <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>therm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, and between <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mrow><mml:mtext>therm</mml:mtext><mml:mo>-</mml:mo><mml:mi>U</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, as a function of <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>SST</mml:mtext></mml:mrow></mml:math></inline-formula> (blue and orange, respectively). The methodology used to compute these LHF datasets is detailed in the main text. The SST anomaly values are binned into 2 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> percentile intervals. Vertical error bars indicate the standard deviation from the mean in each interval, while straight lines represent the least-squares regression fits. The regression slope <inline-formula><mml:math id="M170" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard error (<inline-formula><mml:math id="M171" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value) is reported at the bottom of each panel.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f05.png"/>

        </fig>

      <p id="d2e3444">The estimated LHF change per <inline-formula><mml:math id="M172" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> associated with the presence of the mesoscale ocean is shown in orange in Fig. <xref ref-type="fig" rid="F5"/>a, c, e, and g, representing the difference between <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>HR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>. Recall that <inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>HR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is computed using the statistically downscaled WRF variables (Eq. <xref ref-type="disp-formula" rid="Ch1.E2"/>) in COARE3.5, while <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> corresponds to LHF derived from the <italic>smoothed</italic> variables, obtained by applying a Gaussian low-pass filter (250 <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> cutoff length) to the raw data.</p>
      <p id="d2e3518">The mean LHF sensitivity to mesoscale SST in the EURECA region is 47.7 <inline-formula><mml:math id="M178" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><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:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and the Amazon and Downstream sub-regions show similar values (46.7 and 46.9 <inline-formula><mml:math id="M179" display="inline"><mml:mrow class="unit"><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:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> respectively). On the contrary, the sensitivity is lower in the Tradewind subdomain (35 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><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:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Given the mean LHF values of 150 <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="unit"><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> in EURECA, 130 <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><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> in Amazon, 160 <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><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> in Downstream, and 180 <inline-formula><mml:math id="M184" display="inline"><mml:mrow class="unit"><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> in Tradewind, the slopes of the linear regressions correspond to 31.8 <inline-formula><mml:math id="M185" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mn mathvariant="normal">47.7</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">150</mml:mn></mml:mrow></mml:math></inline-formula>), 35.9 <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mn mathvariant="normal">46.7</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">130</mml:mn></mml:mrow></mml:math></inline-formula>), 29.3 <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mn mathvariant="normal">46.9</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">160</mml:mn></mml:mrow></mml:math></inline-formula>), and 19.4 <inline-formula><mml:math id="M191" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mn mathvariant="normal">35</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">180</mml:mn></mml:mrow></mml:math></inline-formula>), respectively. These values align with the theoretical estimate of approximately 33 <inline-formula><mml:math id="M193" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> of <xref ref-type="bibr" rid="bib1.bibx26" id="text.84"/>. In addition, they are consistent with satellite (33.8 <inline-formula><mml:math id="M194" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and reanalysis (26.6 <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) estimates obtained in <xref ref-type="bibr" rid="bib1.bibx26" id="text.85"/> for the whole EURECA domain. The observed regional differences were also reported in that study, with stronger LHF variations near the South American coast (Amazon and Downstream) compared to the open ocean (Tradewind).</p>
      <p id="d2e3843">We compare the LHF sensitivity results with in-situ observations as well. In <xref ref-type="bibr" rid="bib1.bibx27" id="text.86"/>, the LHF changes were assessed across SST mesoscale anomalies of 2 and <inline-formula><mml:math id="M196" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.4 <inline-formula><mml:math id="M197" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> in the Amazon and Downstream sub-regions, respectively. The first SST anomaly induced a LHF difference of approximately 160 <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><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> between itself and its environment (<inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M200" display="inline"><mml:mrow class="unit"><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:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The second SST anomaly, resulted in a LHF difference of 95 <inline-formula><mml:math id="M201" display="inline"><mml:mrow class="unit"><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> (<inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">38</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M203" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><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:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Therefore, the latter agrees better with the model estimate for the Downstream subdomain, while the former is significantly larger, likely due to its proximity to the coast. Indeed, the strongest SST gradients in the model also appear over the continental shelf (Fig. <xref ref-type="fig" rid="F3"/>a) and are not included in this analysis. We should also keep in mind that LHF sensitivity to SST across fronts in in-situ observations is subject to several uncertainty sources which could modify its value and make the direct comparison with model estimates less straightforward. The relative orientation between the sampling device's trajectory and the SST front or even just defining the front's location are among these uncertainty sources.</p>
      <p id="d2e3975">To quantify the thermodynamic contribution to LHF sensitivity (i.e. the component linked only to SST changes, isolated from the difference between <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>therm</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>), we compute its linear regression shown in dark blue in Fig. <xref ref-type="fig" rid="F5"/>b, d, f, and h. In the EURECA domain, this contribution accounts for a LHF change of 6.6 <inline-formula><mml:math id="M206" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.9</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">150</mml:mn></mml:mrow></mml:math></inline-formula>). In the other sub-regions, it represents 6 <inline-formula><mml:math id="M208" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Amazon, <inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mn mathvariant="normal">7.76</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">130</mml:mn></mml:mrow></mml:math></inline-formula>), 5.2 <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Downstream, <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mn mathvariant="normal">8.4</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">160</mml:mn></mml:mrow></mml:math></inline-formula>) and 5.3 <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Tradewind, <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mn mathvariant="normal">9.5</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">180</mml:mn></mml:mrow></mml:math></inline-formula>). Note that in Tradewind, the thermodynamic contribution relative to the total LHF sensitivity to SST is larger than in the other two subdomains. The increasing importance of the thermodynamic contribution towards the open ocean is consistent with the particular air-sea coupling in this region (lower <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>u</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and larger <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and larger <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, see Fig. <xref ref-type="fig" rid="F4"/>). Overall, these LHF sensitivity values show that in the presence of mesoscale anomalies, LHF variations at the mesoscale are mainly associated with the dynamic contribution (i.e. LHF variations linked to the SST-induced modification of the near-surface winds and relative humidity) whereas the thermodynamic contribution remains a second-order contributor, in agreement with previous observation and reanalysis-based studies <xref ref-type="bibr" rid="bib1.bibx26" id="paren.87"/>.</p>
      <p id="d2e4158">For completeness, we also compute <inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mrow><mml:mtext>therm</mml:mtext><mml:mo>-</mml:mo><mml:mi>U</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as a function of <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>SST</mml:mtext></mml:mrow></mml:math></inline-formula>, shown in orange in Fig. <xref ref-type="fig" rid="F5"/>b, d, f, and h. This allows us to separate the surface wind contribution from the relative humidity's within the dynamic component of LHF sensitivity (the air temperature contribution is negligible when compared to the others, not shown). In EURECA, Amazon and Downstream the effect of surface wind variations adds around 8 <inline-formula><mml:math id="M219" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><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:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to the thermodynamic contribution. Regarding Tradewind, the wind speed contribution is more modest, representing only an additional 4.7 <inline-formula><mml:math id="M220" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">W</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><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:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Therefore, within the dynamic contribution, the majority of the LHF change is linked to relative humidity variations. Indeed, due to the weak SST-<inline-formula><mml:math id="M221" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> coupling at the mesoscale, <inline-formula><mml:math id="M222" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> does not follow the Clausius–Clapeyron relation and thus differs from the saturation specific humidity triggering large relative humidity variations and the LHF changes described here. The air temperature effect is even smaller than the surface wind's and it is not shown here.</p>
      <p id="d2e4263">To quantify the impact of using relative winds (i.e. surface winds minus currents) in LHF computations, we perform a linear regression between <inline-formula><mml:math id="M223" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>orig</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mi>U</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and the difference between the norms of relative winds and surface winds. Here, <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mi>U</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represents the dataset computed using only the winds from the first model vertical level (without currents) and <inline-formula><mml:math id="M225" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>orig</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> stands for the LHF computed using relative winds. The regressions are shown in dark blue in Fig. <xref ref-type="fig" rid="F6"/> for the EURECA (panel a), Amazon (panel b), Downstream (panel c), and Tradewind (panel d) regions.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e4311">LHF sensitivity to surface currents for <bold>(a)</bold> EURECA, <bold>(b)</bold> Amazon, <bold>(c)</bold> Downstream, and <bold>(d)</bold> Tradewind. In all panels, blue markers represent the difference between <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mi>U</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>orig</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as a function of the difference between the norm of the first vertical level wind velocity and the relative wind velocity field. Orange markers indicate the difference between <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>orig</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>no-CFB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> as a function of the difference between the norms of relative winds, with and without the CFB effect. The methodology used to derive these LHF datasets is detailed in the main text. The <inline-formula><mml:math id="M230" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> axis variable is divided into intervals containing an equal number of values, using a 2 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> percentile separation. Vertical error bars indicate the standard deviation relative to the mean for each interval, while straight lines denote the least-squares regression fits. The regression slope <inline-formula><mml:math id="M232" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard error (<inline-formula><mml:math id="M233" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value) is displayed in each panel's legend.</p></caption>
          <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f06.png"/>

        </fig>

      <p id="d2e4407">Across the EURECA domain, surface wind speed generally exceeds relative wind speed (see Fig. <xref ref-type="fig" rid="FD1"/>a of Appendix D). Winds predominantly blow towards the southwest (<inline-formula><mml:math id="M234" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>110° from north), while surface currents are oriented northwestward (<inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula>° from north). As a result, considering only surface winds increases LHF by up to 10 <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="unit"><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>, a trend observed across all sub-regions. The sign and magnitude of <inline-formula><mml:math id="M237" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>orig</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mi>U</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> depend on the relative orientation of winds and currents. In the Downstream sub-region (Fig. <xref ref-type="fig" rid="F6"/>c), the southern edge of an anticyclonic eddy (Fig. <xref ref-type="fig" rid="F3"/>d) aligns surface currents with surface winds (<inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">120</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula> from the north), leading to <inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mo>|</mml:mo><mml:mo>&gt;</mml:mo><mml:mo>|</mml:mo><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mi mathvariant="bold">o</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> and thus reducing LHF when relative winds are used. Note that in this region surface currents are the strongest, reaching mean values of 0.45 <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in mid-February (Fig. <xref ref-type="fig" rid="FD1"/>c). On the contrary, Amazon and Tradewind (Fig. <xref ref-type="fig" rid="F6"/>b and d) exhibit both positive and negative LHF differences, since surface currents and winds are aligned or not depending on the location within the region (Fig. <xref ref-type="fig" rid="F3"/>c and d). In Amazon, surface current variability is stronger than in Tradewind and covaries with relative wind variations, especially by the end of February (Fig. <xref ref-type="fig" rid="FD1"/>b). On the contrary, the Tradewind subdomain exhibits an enhanced wind variability (values ranging from 4 to 12 <inline-formula><mml:math id="M241" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, see Fig. <xref ref-type="fig" rid="FD1"/>d), which mostly drives relative wind variations. In addition, Tradewind surface currents are two times smaller than Amazon's or Downstream's. These LHF variations align well with observations. Using the same representative LHF values for each sub-region, we find that the regression slopes correspond to 10.9, 11.3, 9.4, and 13 <inline-formula><mml:math id="M242" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the EURECA, Amazon, Downstream, and Tradewind regions, respectively. In-situ observations report a sensitivity range of 5 <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>–15 <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx27" id="paren.88"/>.</p>
      <p id="d2e4608">Finally, to isolate the CFB contribution to LHF variations, we perform a linear regression between <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>orig</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>no-CFB</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and the difference between relative wind norms with and without current feedback. The results, shown in orange in Fig. <xref ref-type="fig" rid="F6"/>, exhibit a similar sensitivity than the regression concerning <inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>orig</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mi>U</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Whereas <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mi mathvariant="normal">o</mml:mi></mml:msub><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula> is typically smaller than <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:mo>|</mml:mo><mml:mi mathvariant="bold-italic">U</mml:mi><mml:mo>|</mml:mo></mml:mrow></mml:math></inline-formula>, the relative velocity in presence of CFB is typically larger than the relative velocity without CFB. In addition, the CFB effect is one order-of-magnitude smaller (within <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><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>), consistent with in-situ results from <xref ref-type="bibr" rid="bib1.bibx27" id="text.89"/>. According to CFB, surface currents generate wind anomalies in their own direction. Thus, in the Downstream region, where surface currents mostly align with wind direction, CFB enhances relative winds and LHF. In regions without a dominant current direction, LHF variations can be either positive or negative.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>The Amazon Sub-region Vertical Atmosphere and Ocean Structures and Mixed Layer Heat Budget</title>
      <p id="d2e4719">To delve into the mechanisms behind the modeled mesoscale LHF variations, we examine the atmospheric response configuration associated with SST mesoscale anomalies. Note that the Amazon sub-region is the only of the three considered in this study crossed by the Amazon plume (<inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:mtext>SSS</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">35</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F3"/>d). Therefore we focus on it, since we also aim to link the SST mesoscale anomalies to the presence of the Amazon plume and its heat budget. Results for the Downstream and Tradewind sub-regions and EURECA yield similar conclusions in terms of physical mechanisms at play, and, for brevity, we do not include them in this study. The atmospheric analysis follows what is presented in <xref ref-type="bibr" rid="bib1.bibx5" id="text.90"/> for an atmosphere-only model forced with realistic SSTs.</p>
<sec id="Ch1.S4.SS4.SSS1">
  <label>4.4.1</label><title>Atmosphere Vertical Structure</title>
      <p id="d2e4754">Figure <xref ref-type="fig" rid="F7"/> presents the binned distribution of the marine atmospheric boundary layer (MABL) vertical structure, as well as the dependence of SST and SSS on the SST mesoscale anomaly. Over cold SST anomalies, the MABL exhibits increased stability, characterized by positive values of the Brunt–Väisälä frequency anomalies (<inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi>g</mml:mi><mml:mi mathvariant="italic">θ</mml:mi></mml:mfrac></mml:mstyle><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mo>∂</mml:mo><mml:mi mathvariant="italic">θ</mml:mi></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula>, with <inline-formula><mml:math id="M254" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> potential temperature), particularly above the MABL height (black line in Fig. <xref ref-type="fig" rid="F7"/>a). Conversely, over warm SST anomalies, the atmosphere becomes more unstable, with negative values of <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e4812">Panels <bold>(a–f)</bold> show the vertical structure of the first 2000 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> of the atmosphere (in terms of mesoscale anomalies) as a function of the SST mesoscale anomaly: <bold>(a)</bold> Brunt–Väisälä frequency, <bold>(b)</bold> horizontal wind speed, <bold>(c)</bold> saturation specific humidity, <bold>(d)</bold> specific humidity, <bold>(e)</bold> specific humidity deficit, and <bold>(f)</bold> cloud water mixing ratio (QCLOUD). In all cases, the stippling indicates bins whose mean is not significantly different from zero (bin standard deviation larger than the absolute value of the bin mean). In all these panels, the black line represents the MABL height (MABLH), while the purple line indicates LHF. The standard deviation around the MABLH mean is marked in dark shading whereas the standard deviation range for LHF has been omitted since it is much smaller than LHF variations. Panel <bold>(g)</bold> displays SST (red) and panel <bold>(h)</bold> SSS (blue) both as functions of the SST mesoscale anomaly. In both cases, the shading represents the <inline-formula><mml:math id="M257" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard deviation around the bin mean. All calculations are based on daily averages of the model output for JF 2020. Bins are defined using a 2 <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> percentile range. The values shown here refer to the Amazon sub-region.</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f07.png"/>

          </fig>

      <p id="d2e4873">Changes in atmospheric vertical stratification also influence wind speed variations (Fig. <xref ref-type="fig" rid="F7"/>b). Two distinct anomaly dipoles are observed at the warmest and coldest ends of the histogram. Over the highest SST anomalies, wind speed increases slightly near the surface (around 0.05 <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), while negative wind speed anomalies dominate above. This behavior aligns with the downward momentum mixing (DMM) mechanism: downward fluxes of momentum from the free troposphere reduce wind speed at higher levels while enhancing it near the surface. The opposite pattern is observed over the coldest SST anomalies in the Amazon sub-region, where momentum transfer towards the surface does not occur: wind speed decreases near the surface and increases at and above the MABL height. Note that PA might as well produce this dipolar pattern in the wind speed histogram. Indeed, <xref ref-type="bibr" rid="bib1.bibx74" id="text.91"/> showed that in the equatorial Pacific pressure extrema associated with the SST anomalies linked to tropical instability waves formed downwind of the SST extrema as they were advected by the mean flow. While this configuration provides surface wind maxima (minima) over the warmest (coolest) SST mesoscale anomalies, it also results in the formation of moisture and air temperature maxima/minima downwind of the SST maxima/minima. As shown in the following paragraphs, this is not the case here, since air temperature maxima/minima are collocated with SST mesoscale anomaly maxima/minima and air specific humidity does not significantly vary along SST mesoscale anomalies.</p>
      <p id="d2e4899">Furthermore, the warming (cooling) induced by SST mesoscale anomalies extends well above the MABL height (MABLH) (Fig. <xref ref-type="fig" rid="F7"/>c). This is reflected in the two-dimensional saturation specific humidity anomaly histogram, where values exceed <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in the warmest (coldest) intervals. In contrast, specific humidity variations are weaker. Consistent with the Amazon <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> shown in Fig. <xref ref-type="fig" rid="F4"/>, <inline-formula><mml:math id="M263" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> slightly decreases over the warmest SST mesoscale anomalies and slightly increases in the MABL located over the coldest SST anomalies. At the MABLH level, we find slightly positive <inline-formula><mml:math id="M264" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> anomalies which then become negative further above, except for the warmest SST mesoscale anomalies. This pattern of specific humidity anomalies aligns again with the DMM: warmer SSTs destabilize the MABL leading to the entrainment of drier (and colder) air from the free troposphere towards the surface, decreasing surface <inline-formula><mml:math id="M265" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> (and air temperature, thus reducing <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> with respect to Tradewind where <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is positive as shown in Fig. <xref ref-type="fig" rid="F4"/>). Consequently, the specific humidity deficit (<inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>q</mml:mi></mml:mrow></mml:math></inline-formula>) anomalies (Fig. <xref ref-type="fig" rid="F7"/>e) mostly resemble those of the saturation specific humidity (<inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in Fig. <xref ref-type="fig" rid="F7"/>c, with negative <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>q</mml:mi></mml:mrow></mml:math></inline-formula> anomalies coinciding with negative SST anomalies, and vice versa. The only exception corresponds to the warmest SST mesoscale anomalies where negative anomalies of <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>q</mml:mi></mml:mrow></mml:math></inline-formula> emerge over the MABLH associated with the reduced  <inline-formula><mml:math id="M272" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula>.</p>
      <p id="d2e5044">It is worth recalling that the weak variations with SST of <inline-formula><mml:math id="M273" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> at the mesoscale trigger moisture undersaturation imbalances (or relative humidity changes) which are the main driver of mesoscale LHF changes when considering its sensitivity to SST (Fig. <xref ref-type="fig" rid="F5"/>). If DMM were not present, there would not be a downward momentum flux of drier air from the top of the MABL that reduces the specific humidity variations close to the surface. We would then expect higher (lower) values of <inline-formula><mml:math id="M274" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> over the warmer (cooler) SSTs as predicted by the Clausius–Clapeyron equation, thus reducing the relative humidity variation range. This is the situation found for scales larger than the mesoscale, where air over the ocean is almost saturated. Such a configuration would reduce the specific humidity deficit modulations shown in Fig. <xref ref-type="fig" rid="F7"/>e and therefore LHF changes.</p>
      <p id="d2e5065">Figure <xref ref-type="fig" rid="F7"/>f presents the cloud water mixing ratio (QCLOUD). Although anomalies remain weak, an increase in QCLOUD is observed at the MABLH level for the majority of the SST mesoscale anomaly range. In regions of negative SST mesoscale anomalies, the strongest QCLOUD increases are confined close to the MABLH. This finding aligns with previous observational  <xref ref-type="bibr" rid="bib1.bibx1" id="paren.92"/> and modeling <xref ref-type="bibr" rid="bib1.bibx5" id="paren.93"/> studies, which detected stratiform shallow clouds over stable tropical MABLs. Over positive SST mesoscale anomalies, QCLOUD positive anomalies extend upward potentially yielding more vertically developed clouds in the context of a more unstable atmosphere.</p>
      <p id="d2e5076">In all the panels discussed above, the purple line represents the mean binned LHF as a function of the SST mesoscale anomaly. Consistent with observational results from both satellite <xref ref-type="bibr" rid="bib1.bibx26" id="paren.94"/> and in-situ data <xref ref-type="bibr" rid="bib1.bibx27" id="paren.95"/>, a significant LHF increase of approximately 50 <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="unit"><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> is observed. This increase is driven by the SST-induced modifications of saturation specific humidity maintaining the <italic>smoothed</italic> relative humidity (thermodynamic contribution, quantified with <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>therm</mml:mtext></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) and the modulations of relative humidity and wind speed (dynamic contribution, the contribution of wind speed to the dynamic contribution is quantified with <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msub><mml:mtext>LHF</mml:mtext><mml:mrow><mml:mtext>therm</mml:mtext><mml:mo>-</mml:mo><mml:mi>U</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mtext>LHF</mml:mtext><mml:mtext>LR</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) induced by the SST mesoscale anomalies. All of them were assessed separately in the previous section. Additionally, the black line represents the simulated MABLH mean per SST mesoscale anomaly bin. Its values remain around 600 <inline-formula><mml:math id="M278" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> for most SST anomaly bins, consistent with expected tropical ocean conditions. Thus, the MABL response does not fully align with the downward momentum mixing (DMM) mechanism, although changes in vertical stratification, wind speed and specific humidity suggest that DMM is active at the mesoscale in the Amazon sub-region. We hypothesize that this discrepancy may arise from the MABL stability parameterizations used within the model. A more detailed analysis would be required to confirm this hypothesis, but it is beyond the scope of this study.</p>
      <p id="d2e5155">Note that all the anomalies (atmospheric and SST) shown in Fig. <xref ref-type="fig" rid="F7"/> are small compared to the ones shown in <xref ref-type="bibr" rid="bib1.bibx5" id="text.96"/>. A direct comparison is not straightforward since their simulation is SST-forced and ours is coupled, and they use a different filtering procedure: no time filter and a high-pass Gaussian filter with a 150 <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> cutoff length. In addition, they evaluate the vertical atmospheric structure of the whole EURECA domain (not only Amazon). However, in the range of the anomalies presented in this article (<inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>), the results are consistent. For example, in their Fig. 4d wind speed mesoscale anomalies range from <inline-formula><mml:math id="M282" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2 to 0.2 <inline-formula><mml:math id="M283" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and SST mesoscale anomalies from <inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.6</mml:mn></mml:mrow></mml:math></inline-formula> to 0.5 <inline-formula><mml:math id="M285" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. Nevertheless, between <inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M287" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> their wind speed anomaly values lie within the <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> range of Fig. <xref ref-type="fig" rid="F7"/>b.</p>
      <p id="d2e5286">Finally, Fig. <xref ref-type="fig" rid="F7"/>g and h illustrate the dependence of SST and SSS on SST mesoscale anomalies. As expected, SST increases monotonically with the SST mesoscale anomaly: the warm SST anomalies are associated with higher SST values. This is not the case for SSS. It shows a minimum around a SST mesoscale anomaly of 0.1 <inline-formula><mml:math id="M290" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. However, the spread of SSS values along bins is large. This means that a given SST mesoscale in the binned distribution might contain SSS data from different locations within the Amazon sub-region, which prevents us from directly associating the SSS minimum to the exclusive presence of the Amazon plume.</p>
</sec>
<sec id="Ch1.S4.SS4.SSS2">
  <label>4.4.2</label><title>Ocean Surface Features</title>
      <p id="d2e5309">To gain a deeper insight into the relation between the SST and the Amazon plume, Fig. <xref ref-type="fig" rid="F8"/> presents four snapshots of the SST and surface current fields in February 2020 in the Amazon sub-region. In the beginning of February 2020 (Fig. <xref ref-type="fig" rid="F8"/>a), the southern end of the cold filament (Fig. <xref ref-type="fig" rid="F3"/>a), characterized by <inline-formula><mml:math id="M291" display="inline"><mml:mrow><mml:mtext>SST</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">25.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M292" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>, is advected northward and westward by the surface circulation. It is not until the 16 February that the Amazon plume, delineated by the 35 <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula> isoline <xref ref-type="bibr" rid="bib1.bibx68" id="paren.97"/>, reaches the southeastern end of Amazon (Fig. <xref ref-type="fig" rid="F8"/>b). For this reason, the remaining analyses concerning the presence of the Amazon plume focus only on February 2020 instead of the whole JF season. At this stage, the Amazon plume is mostly warmer than its environment (<inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">26.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) although it starts mixing with the cold filament on its southwestern flank. This results in SST values below 26 <inline-formula><mml:math id="M296" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> within the Amazon plume boundaries. Finally, some of the plume-related warmest waters are advected northward out of the 35 <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula> isoline.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e5395">Daily snapshots of SST (shading) overlaid with surface currents (arrows) and the 35 <inline-formula><mml:math id="M298" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula> isoline which we use to delimit the Amazon plume (magenta) for the <bold>(a)</bold> 9, <bold>(b)</bold> 16, <bold>(c)</bold> 21, and  <bold>(d)</bold> 27 February 2020.</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f08.png"/>

          </fig>

      <p id="d2e5424">By the 21 February 2020 (Fig. <xref ref-type="fig" rid="F8"/>c), the Amazon plume arrives in the northern part of Amazon and preserves warmer waters than its environment, still reaching 26.9 <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>. However, colder waters resulting from the horizontal mixing with the cold filament still remain inside the limits of the plume on its southwestern part. Finally, by the end of the month (Fig. <xref ref-type="fig" rid="F8"/>d), the Amazon plume is advected westward and northward, following the rotation of a cyclonic eddy whose center lies at 8° N, 55.25° W. It loses its shape and the SST field becomes more homogeneous within the whole Amazon sub-region.</p>
      <p id="d2e5442">Therefore, during several days in February 2020, a large fraction of the Amazon plume surface presents warmer waters than its environment (<inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">26.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>). These SST values correspond to positive SST mesoscale anomalies as shown in Fig. <xref ref-type="fig" rid="F7"/>g. Hence, the Amazon plume acts on LHF as any other non-plume warm SST mesoscale anomaly would (Figs. <xref ref-type="fig" rid="F5"/> and <xref ref-type="fig" rid="F7"/>), via both the thermodynamic and dynamic contributions assessed in previous sections. The same applies in the opposite direction for the colder southwestern part of the plume which interacts with the cooler coastal band, whose SST (<inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">26</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M303" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) would belong to the negative SST mesoscale anomaly bins of Fig. <xref ref-type="fig" rid="F7"/>g.</p>
      <p id="d2e5494">We explored other plume-related mechanisms which affect LHF, such as the potential subsurface heat release detected in in-situ observations <xref ref-type="bibr" rid="bib1.bibx27" id="paren.98"/>. If the base of the isothermal layer (THERM) is deeper than the mixed layer depth (MLD), subsurface warm inversions can develop and potentially be released to the atmosphere mainly in the form of LHF provided that salinity-driven stratification is reduced. We checked this and found that, contrary to in-situ observations, the model does not represent such inversions. Consequently, their contribution to LHF spatial variability cannot be isolated.</p>
</sec>
<sec id="Ch1.S4.SS4.SSS3">
  <label>4.4.3</label><title>Vertical Ocean Structure</title>
      <p id="d2e5508">The two parts of the Amazon plume in terms of SST are also observed when averaging in February 2020: a warmer core on its eastern part and a cooler area on its southwest linked to the coastal filament (Fig. <xref ref-type="fig" rid="F9"/>a). The warmer SST part belongs to a larger southeastern-northwestern warm SST band which is advected through the Amazon subdomain from the southeast to the northwest by surface currents. It coincides with a sharp SSS gradient which marks the transition between the fresh plume waters to the saltier open-ocean side of Amazon. This band is characterized by shallow MLDs (less than 15 <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>). Cooler and saltier waters dominate towards the northeast of Amazon and to its northeast, together with thicker MLs. Note that the MLDs are larger in the east (<inline-formula><mml:math id="M305" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) than in the west (<inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M308" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) even if they have similar SST (<inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">26.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) since salinity is higher in the east (<inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">36</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M312" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula>). Note that colder southwestern area is characterized by shallower MLDs than the northeastern most open-ocean part of Amazon despite being colder. This is due to the mixing with the Amazon plume which reduces salinity resulting in thinner MLs.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e5598">February 2020 average of <bold>(a)</bold> SST (shading) and surface currents (arrows), <bold>(b)</bold> mixed layer depth (MLD, shading), <bold>(c)</bold> barrier layer thickness (BLT, shading), and <bold>(d)</bold> OSS index integrated down to the base of the mixed layer (<inline-formula><mml:math id="M313" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:mtext>OSS</mml:mtext><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula>, shading). In all panels black contours denote the February 2020 averaged SSS and the magenta contour the mean February 2020 position of the edge of the Amazon plume (35 <inline-formula><mml:math id="M314" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula> isoline).</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f09.png"/>

          </fig>

      <p id="d2e5640">Additionally, we present the spatial distribution of the barrier layer thickness (BLT) and the OSS index integrated down to the ML base with superimposed SSS contours in Fig. <xref ref-type="fig" rid="F9"/>c and d, respectively. The BLT map clearly shows that to the west and northwest of the plume, the mixing of cooler pre-plume waters with the warm and fresh waters preceding the Amazon plume triggers a decoupling between haline and thermal stratifications and leads to the formation of barrier layers (BL) as thick as 35 <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. In the rest of the domain including the interior of the Amazon plume, the MLD and the BLT are close to each other. Although this configuration mostly appears in the most open-ocean region of Amazon, where waters are the saltiest, it is also present within the Amazon plume and prevents the formation of subsurface temperature inversions there. Finally, the OSS index map shows that, despite the SSS heterogeneity of the region, temperature dominates over salinity in driving total stratification everywhere (<inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:mtext>OSS</mml:mtext><mml:mo>〉</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>). This configuration is more pronounced in the most open-ocean part of Amazon. Only some regions to the northwest of the Amazon plume and in the southwest of the Amazon plume show <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:mtext>OSS</mml:mtext><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula> values higher than 30 <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula>. The influence of the Amazon plume being advected toward these areas before temperature can adjust might explain these values: salinity rapidly decreases whereas temperature remains temporarily constant.</p>
</sec>
<sec id="Ch1.S4.SS4.SSS4">
  <label>4.4.4</label><title>Mixed Layer Heat Budget</title>
      <p id="d2e5702">To further investigate heat transfer in and out of the ML, Fig. <xref ref-type="fig" rid="F10"/> displays the various terms of the ML heat budget (Eq. <xref ref-type="disp-formula" rid="Ch1.E4"/>) averaged over February 2020. The total temperature tendency (<inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>) exhibits a highly heterogeneous pattern (Fig. <xref ref-type="fig" rid="F10"/>a). In the southwestern part of the domain, warming is primarily driven by the horizontal advection of warmer waters from the east (Figs. <xref ref-type="fig" rid="F10"/>b and <xref ref-type="fig" rid="F9"/>a). Some of these waters lie within the boundaries of the Amazon plume. The warming effect of horizontal advection is partly compensated by the cooling contribution of the residual (Fig. <xref ref-type="fig" rid="F10"/>f), which can be mainly attributed to vertical diffusion in this region as it meets the <xref ref-type="bibr" rid="bib1.bibx18" id="text.99"/> criteria (detailed in Appendix <xref ref-type="sec" rid="App1.Ch1.S2"/>).</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e5738">Averaged February 2020 mixed layer heat budget (terms of Eq. <xref ref-type="disp-formula" rid="Ch1.E4"/>) vertically integrated down to the mixed layer depth for the Amazon sub-region. <bold>(a)</bold> Total temperature tendency, <bold>(b)</bold> horizontal advection, <bold>(c)</bold> vertical advection, <bold>(d)</bold> entrainment, <bold>(e)</bold> atmospheric forcing, and <bold>(f)</bold> residual. The hatched areas in <bold>(f)</bold> indicate locations where the residual is primarily associated with vertical diffusion, following <xref ref-type="bibr" rid="bib1.bibx18" id="text.100"/>. In all panels, black contours denote averaged February 2020 SSS and the magenta contour represents the mean February 2020 position of the edge of the Amazon plume (35 <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula> isoline).</p></caption>
            <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f10.png"/>

          </fig>

      <p id="d2e5782">In contrast, the Amazon plume-related waters located in the east and northern parts of the plume experience net cooling, mainly due to atmospheric forcing (Fig. <xref ref-type="fig" rid="F10"/>e). An evaluation of the magnitude of the different radiative and turbulent air-sea heat fluxes contained in the atmospheric forcing term (Eq. <xref ref-type="disp-formula" rid="Ch1.E4"/>) shows that the enhanced LHF over the warmer waters of this region is the main driver of this heat loss (not shown). The thinner MLs in this region also facilitate the enhanced heat transfer to the atmosphere (Fig. <xref ref-type="fig" rid="F9"/>b). In addition, the nearly uniform temperature in the warmest eastern part of the plume (south of 7.75° N and east of 54.25° W) explains the absence of strong horizontal advection values in its interior (Fig. <xref ref-type="fig" rid="F10"/>b), as warm water from the surroundings is advected into a region where little temperature variation occurs. Finally, the warmer waters (<inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:mtext>SST</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">26.7</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>) located over the sharp salinity gradient (SSS between 35–35.7 <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula>) exhibit a slightly positive <inline-formula><mml:math id="M324" display="inline"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>. This increase results primarily from horizontal advection from the southeast which transports warm plume-related waters northwestward.</p>
      <p id="d2e5838">For completeness, Fig. <xref ref-type="fig" rid="F10"/>c shows the vertical advection contribution to the total temperature tendency. It is one order of magnitude smaller than the horizontal advection everywhere, not significantly contributing to the total temperature tendency. The same applies to the entrainment term (Fig. <xref ref-type="fig" rid="F10"/>d), which depicts slightly positive entrainment values in the plume's eastward-northeastward flank, likely resulting from MLD variations associated with the lateral displacement of the plume. Another contributing factor to <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> is vertical diffusion. Positive values of the mixed layer heat budget residual appear around the 35.5 to 35.9 <inline-formula><mml:math id="M326" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">psu</mml:mi></mml:mrow></mml:math></inline-formula> isolines, to the east and northeast of the plume (Fig. <xref ref-type="fig" rid="F10"/>f). This residual can primarily be attributed to vertical diffusion, as it meets the <xref ref-type="bibr" rid="bib1.bibx18" id="text.101"/> criteria.</p>
      <p id="d2e5872">All the processes described above result in a weakening of the SST anomalies associated with the Amazon plume and therefore, an homogenization of the SST field in the Amazon sub-region as February 2020 draws on. In the southwestern part of the plume, where the interaction with the cold coastal filament occurs and SST is the lowest, temperature in the mixed layer increases due to warm horizontal advection from the east, where SST presents its maximum. On the contrary, in the center and eastern parts of the plume, where SST is the highest, there is a cooling tendency mainly associated to heat loss to the atmosphere, mostly in the form of LHF (not shown).</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Discussion and Conclusion</title>
      <p id="d2e5885">High-resolution coupled simulations serve as a powerful complement to remote sensing, reanalysis, and in-situ observations to study ocean mesoscale influences on latent heat flux (LHF) variability in the Northwest Tropical Atlantic. In this study, we employ the WRF-CROCO coupled EURECA simulation at 1 <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> oceanic and 2 <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> atmospheric resolution, fully resolving ocean mesoscale (<inline-formula><mml:math id="M329" display="inline"><mml:mi>O</mml:mi></mml:math></inline-formula>(50–250 <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>)) processes. We focus on January–February 2020, when the Intertropical Convergence Zone (ITCZ) shifts southward, and analyze four domains: the full EURECA region; Amazon and Downstream (coastal regions, with the former influenced by the Amazon plume); and Tradewind (a more quiescent open-ocean region).</p>
      <p id="d2e5919">Our analysis of air-sea coupling coefficients confirms a robust mesoscale positive correlation between surface current vorticity and wind curl across all regions. The associated coupling coefficient is denoted as <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This correlation is the strongest in the Downstream sub-region (<inline-formula><mml:math id="M332" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.26</mml:mn></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F4"/>e) compared to Tradewind (<inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.24</mml:mn></mml:mrow></mml:math></inline-formula>) and Amazon (<inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.21</mml:mn></mml:mrow></mml:math></inline-formula>). Although these variations might seem small, the error bars associated with these coupling coefficients do not overlap (Fig. <xref ref-type="fig" rid="F4"/>, red markers) and all <inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values are statistically significant (see Appendix <xref ref-type="sec" rid="App1.Ch1.S3"/>). They represent changes of 14.3 <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> in <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>w</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>: (0.26–0.22)<inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:mo>/</mml:mo><mml:mn mathvariant="normal">0.28</mml:mn></mml:mrow></mml:math></inline-formula>. This difference might be related to the presence of stronger surface currents in Downstream than in Amazon and Tradewind associated with the nearly-stationary eddy located in front of Trinidad and Tobago (Fig. <xref ref-type="fig" rid="F3"/>d). Stronger currents may drive a more robust wind response, less likely to be masked by other atmospheric processes.</p>
      <p id="d2e6028">Most coupling coefficients at the mesoscale are weaker than satellite-derived values in <xref ref-type="bibr" rid="bib1.bibx26" id="text.102"/> but agree with those reported in <xref ref-type="bibr" rid="bib1.bibx66" id="text.103"/>. We find <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>u</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.26</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M340" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the EURECA domain, peaking in Amazon and Downstream (0.29 and 0.31 <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> respectively, Fig. <xref ref-type="fig" rid="F4"/>) and reaching its minimum in Tradewind (0.11 <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F4"/>). This pattern reflects stronger Downward Momentum Mixing (DMM) activity in Amazon and Downstream than in Tradewind. Meanwhile, the mesoscale SST-<inline-formula><mml:math id="M343" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> correlation (<inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) is weaker than the Clausius–Clapeyron estimate (1.3 <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in all cases: <inline-formula><mml:math id="M346" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05, <inline-formula><mml:math id="M347" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.09, and 0.24 <inline-formula><mml:math id="M348" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">kg</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in Amazon and Downstream and Tradewind respectively. Finally, <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is always positive and ranges from 0.16 <inline-formula><mml:math id="M350" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">in</mml:mi></mml:mrow></mml:math></inline-formula> Amazon (in the warm eddy corridor) to 0.25 in Tradewind (open ocean).</p>
      <p id="d2e6239">We quantify LHF sensitivity to sea-surface temperature (SST) anomalies through linear regression analysis (Fig. <xref ref-type="fig" rid="F5"/>). Consistent with satellite observations <xref ref-type="bibr" rid="bib1.bibx26" id="paren.104"/>, LHF increases by 31.8 <inline-formula><mml:math id="M351" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> per 1 <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> warming, with the strongest sensitivity in Amazon (35.9 <inline-formula><mml:math id="M353" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F5"/>c) and the weakest in Tradewind (19.4 <inline-formula><mml:math id="M354" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">K</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F5"/>g). Furthermore, we separate the thermodynamic (mesoscale SST effects in the saturation specific humidity without accounting for any change in relative humidity) and the dynamic contribution (SST-induced modifications of the near-surface atmosphere manifested in surface wind speed and relative humidity changes), confirming that dynamic effects dominate. The thermodynamic contribution represents only 4.5 <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> per 1 <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>–5.5 <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> per 1 <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> and the rest is related to the dynamic contribution. Within the dynamic contribution, the fact that mesoscale specific humidity does not evolve as predicted by Clausius–Clapeyron produces an undersaturation imbalance (translated into larger relative humidity variations) and drives most of the LHF changes. Finally, we assess LHF sensitivity to surface currents (Fig. <xref ref-type="fig" rid="F6"/>). Accounting for relative winds instead of absolute winds induces LHF variations up to 15 <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="unit"><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>, consistent with in-situ results <xref ref-type="bibr" rid="bib1.bibx27" id="paren.105"/>. The current feedback (CFB) effect is much smaller, contributing at most with 3 <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="unit"><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>.</p>
      <p id="d2e6381">The vertical structure of the marine atmospheric boundary layer in the Amazon sub-region reveals key mechanisms behind the observed coupling. We observe DMM-consistent patterns, with a dipole in <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> (more unstable over warm SSTs, more stable over cold SSTs) and a reduction (increase) of near-surface specific humidity (near-surface winds) over warm SST anomalies. Similar findings hold for Downstream and Tradewind (not shown). In the ocean, the Amazon plume-related waters are characterized by shallow mixed layer depths (Fig. <xref ref-type="fig" rid="F9"/>b) and most of them are warmer than their environment (Fig. <xref ref-type="fig" rid="F8"/>b and c) leading to the formation of warm SST mesoscale anomalies. A smaller fraction of them presents lower SSTs due to the interaction with a cooler coastal filament. Thus, the Amazon plume affects LHF through its associated mesoscale anomalies as described above. No temperature inversions underneath the MLD and potential subsurface warm layer heat release in the borders of the plume was detected in this simulation.</p>
      <p id="d2e6399">Finally, we perform a mixed layer heat budget analysis in the Amazon sub-region (Fig. <xref ref-type="fig" rid="F10"/>) and find that the total temperature tendency (<inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>) acts to homogenize the SST field between the inside and outside of the plume as time draws on. In particular, the warmest part of the plume experiences net cooling due to enhanced heat loss to the atmosphere whereas the coolest region of the plume becomes warmer as a consequence of horizontal advection from the warmest part of the plume.</p>
      <p id="d2e6417">This study extends the mesoscale findings of <xref ref-type="bibr" rid="bib1.bibx26 bib1.bibx27" id="text.106"/> providing a regionalized analysis of the air-sea coupling and the ocean-atmosphere vertical structure. It also links the air-sea coupling with the Amazon plume. However, our analysis is restricted to boreal winter (January and February). Future work should investigate other seasons in the EURECA simulation (June 2019–June 2020), as coupling coefficients vary seasonally <xref ref-type="bibr" rid="bib1.bibx15" id="paren.107"/>, with stronger air-sea interactions in boreal winter than in summer. Additionally, the Amazon runoff peaks in summer, amplifying the Amazon plume's influence on LHF heterogeneity. Moreover, this study does not address the ocean submesoscale (<inline-formula><mml:math id="M363" display="inline"><mml:mi>O</mml:mi></mml:math></inline-formula>(<inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>)) although evidence suggests that submesoscale ocean structures also impact the near-surface atmosphere <xref ref-type="bibr" rid="bib1.bibx52 bib1.bibx32" id="paren.108"/>. This is mainly because daily averaging, used to remove the diurnal cycle, might also eliminate important submesoscale signals. A more sophisticated approach, such as multichannel singular spectrum analysis (M-SSA), could better preserve submesoscale variability. Furthermore, comparing the higher-resolution EURECA simulation (1 <inline-formula><mml:math id="M366" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> ocean, 2 <inline-formula><mml:math id="M367" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> atmosphere) with the coarser Antilles simulation (2.5 <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> ocean, 6 <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula> atmosphere) would clarify the impact of spatial resolution on mesoscale and submesoscale air-sea interactions. Finally, longer simulations (<inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M371" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">years</mml:mi></mml:mrow></mml:math></inline-formula>) would enable interannual variability studies, particularly regarding Amazon plume detachment, which occurs irregularly <xref ref-type="bibr" rid="bib1.bibx59" id="paren.109"><named-content content-type="pre">i.e. absent in 2010, 2011, and 2013;</named-content></xref>.</p>
      <p id="d2e6511">Our findings emphasize the need for high-resolution modeling in climate studies. Traditional climate models rely on coarse SST grids, which suppress the small-scale air-sea disequilibrium that governs LHF release. Implementing the LHF downscaling algorithm used here, which has been shown to improve LHF representation by a factor of two in SST-forced WRF simulations <xref ref-type="bibr" rid="bib1.bibx26" id="paren.110"><named-content content-type="pre">see Fig. 8b of</named-content></xref> in model couplers could enhance air-sea flux estimation in high-resolution climate simulations. Future work should explore its implementation within global coupled models to improve energy exchange parameterizations.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Numerical Considerations in the Mixed Layer Heat Budget Computation</title>
      <p id="d2e6530">In the EURECA simulation, only the monthly means of the advective-diffusive equation terms are stored. For temperature, this equation reads:

              <disp-formula id="App1.Ch1.S1.E6" content-type="numbered"><label>A1</label><mml:math id="M372" display="block"><mml:mstyle class="stylechange" displaystyle="true"/><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:msub><mml:mi>T</mml:mi></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>Total tendency</mml:mtext></mml:munder><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mrow><mml:mi mathvariant="normal">∇</mml:mi><mml:mo>⋅</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:mfenced></mml:mrow><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>Advection</mml:mtext></mml:munder><mml:mo>=</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mi mathvariant="script">F</mml:mi><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>Forcing</mml:mtext></mml:munder><mml:mo>+</mml:mo><mml:munder><mml:munder class="underbrace"><mml:mi mathvariant="script">D</mml:mi><mml:mo mathvariant="normal">︸</mml:mo></mml:munder><mml:mtext>Mixing</mml:mtext></mml:munder><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e6595">One of the challenges in computing the mixed layer (ML) heat budget is ensuring its closure, as numerical choices in the calculation of each term can introduce discrepancies. To mitigate this issue, we followed the computational steps detailed in the CROCO documentation when computing all the terms in Eq. (<xref ref-type="disp-formula" rid="App1.Ch1.S1.E6"/>) on a daily basis.</p>
      <p id="d2e6600">Figure <xref ref-type="fig" rid="FA1"/> presents a comparison between the recomputed and stored Eq. (<xref ref-type="disp-formula" rid="App1.Ch1.S1.E6"/>) terms, integrated down to 100 <inline-formula><mml:math id="M373" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (a depth beyond any mixed layer depth to minimize entrainment effects). The left column (except for the last row) displays the recomputed terms, the central column shows the corresponding stored values from the simulation output, and the right column represents the numerical bias, i.e. the difference between the recomputed and stored values.</p>

      <fig id="FA1" specific-use="star"><label>Figure A1</label><caption><p id="d2e6618">Comparison between the stored advective-diffusive equation terms (Eq. <xref ref-type="disp-formula" rid="App1.Ch1.S1.E6"/>) and the recomputed ones, integrated over a layer of 100 <inline-formula><mml:math id="M374" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, (deeper than the maximum MLD recorded).</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f11.png"/>

      </fig>

      <p id="d2e6637">The total temperature tendency, averaged over February 2020, exhibits a consistent spatial pattern between the recomputed (Fig. <xref ref-type="fig" rid="FA1"/>a) and stored (Fig. <xref ref-type="fig" rid="FA1"/>b) values. A region of strong cooling extends from the southern part of the domain (around 54° W) towards the north and northwest, surrounded by positive temperature tendency values, particularly in the southernmost part of the domain. The numerical bias (Fig. <xref ref-type="fig" rid="FA1"/>c) is one to two orders of magnitude smaller than the actual temperature tendency values, indicating that the numerical error in recomputing the total tendency is relatively small.</p>
      <p id="d2e6646">However, significant differences arise when comparing the advection terms. The recomputed horizontal (Fig. <xref ref-type="fig" rid="FA1"/>d) and vertical (Fig. <xref ref-type="fig" rid="FA1"/>g) advections differ substantially in both pattern and intensity from their stored counterparts (Fig. <xref ref-type="fig" rid="FA1"/>e and h, respectively). The recomputed advections are systematically stronger, and their differences (Fig. <xref ref-type="fig" rid="FA1"/>f and i) are of the same order of magnitude as, or even exceed, the values themselves.</p>
      <p id="d2e6657">In contrast, the atmospheric forcing term remains consistent between the recomputed (Fig. <xref ref-type="fig" rid="FA1"/>j) and stored (Fig. <xref ref-type="fig" rid="FA1"/>k) datasets, with negligible numerical bias (Fig. <xref ref-type="fig" rid="FA1"/>l). This suggests that numerical errors as well as high frequencies (timescales faster than 1 <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">d</mml:mi></mml:mrow></mml:math></inline-formula>) primarily impact the advection terms, while the atmospheric forcing is well represented in the recomputed dataset.</p>
      <p id="d2e6674">The discrepancy in the advection terms leads to a significantly large residual field (Fig. <xref ref-type="fig" rid="FA1"/>m), which exceeds the total temperature tendency itself (Fig. <xref ref-type="fig" rid="FA1"/>a). This stands in contrast to the stored residual field (Fig. <xref ref-type="fig" rid="FA1"/>n), where significant values are only observed around 7.5° N. The difference between the recomputed and stored residual fields (Fig. <xref ref-type="fig" rid="FA1"/>o) is almost as large as the recomputed residual field itself, highlighting the impact of numerical discrepancies. Additionally, the stored residual field is evenly partitioned between horizontal and vertical mixing, whereas these two contributions cannot be separately estimated from the recomputed fields.</p>
      <p id="d2e6685">Overall, Fig. <xref ref-type="fig" rid="FA1"/> underscores the critical role of numerical schemes in computing heat budgets, particularly for advection and derivative calculations. In this case, the recomputed horizontal and vertical advections were obtained using a second-order centered scheme, whereas the simulation employs a fifth-order upstream advection scheme, leading to significant differences in the resulting fields. Thus, in the mixed-layer heat budget-related results, we will work with the stored advection terms whereas the rest of the terms (total tendency, entrainment and atmospheric forcing) will be recomputed each day from model data and then averaged in a monthly basis.</p>
</app>

<app id="App1.Ch1.S2">
  <label>Appendix B</label><title>Criteria to Associate the Residual from the Mixed Layer Heat Budget to Vertical Diffusion</title>
      <p id="d2e6698">A common approach to estimating vertical heat diffusivity is to infer it from the residual of the mixed layer heat budget <xref ref-type="bibr" rid="bib1.bibx36" id="paren.111"/>. <xref ref-type="bibr" rid="bib1.bibx18" id="text.112"/> extended this approach by proposing selection criteria for estimating vertical heat diffusivity at the ML base. First, if the vertical temperature gradient is small, the residual may not be associated with vertical heat diffusivity. Therefore, we require a vertical temperature gradient greater than <inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.0003</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> within 5 <inline-formula><mml:math id="M377" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> below the MLD for the residual to be considered representative of vertical diffusion. However, as noted by <xref ref-type="bibr" rid="bib1.bibx18" id="text.113"/>, in the presence of strong currents, the residual term is primarily influenced by heat flux convergence in a stratified shear flow. To minimize this effect, we impose an additional filtering criterion where the residual is considered representative of vertical diffusion only when horizontal advection remains within two standard deviations of its mean value.</p>
      <p id="d2e6741">The formation of a barrier layer (BL) inhibits heat mixing below the ML. When the BL is thin (less than approximately 15–20 <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>), the MLD and the isothermal layer (THERM) are close to one another, typically resulting in a negative temperature gradient at the ML base. In contrast, when the BL is thick, the base of THERM is significantly deeper than the MLD, leading to a more uniform temperature profile within the BL, which can result in small temperature gradients or even temperature inversions. The barrier layer thickness (BLT) is defined as the difference between THERM and MLD, when THERM is deeper than MLD <xref ref-type="bibr" rid="bib1.bibx77" id="paren.114"/>. Here, we define THERM as the deepest level at which temperature decreases by at least 0.2 <inline-formula><mml:math id="M379" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> relative to the 10 <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>-depth temperature, following <xref ref-type="bibr" rid="bib1.bibx34" id="text.115"/>. To ensure that the residual reflects vertical diffusion, we impose a final criterion: the BL must either be thinner than 15 <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> or contain a temperature inversion of magnitude greater than 0.2 <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e6796">In summary:

              <disp-formula specific-use="align" content-type="numbered"><mml:math id="M383" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mtext>Residual represents vertical diffusion where</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mlabeledtr id="App1.Ch1.S2.E7"><mml:mtd><mml:mtext>B1</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mfenced open="{" close=""><mml:mtable class="array" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>z</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.0003</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</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">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mn mathvariant="normal">5</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mtext> below the MLD or</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:mfenced><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mfenced close=")" open="("><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mi>T</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:msub><mml:mtext> at the MLD or</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mtext>BLT</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mtext> or</mml:mtext></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mtext>BLT</mml:mtext><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">15</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mtext> and </mml:mtext><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi><mml:mo>&gt;</mml:mo><mml:mo>+</mml:mo><mml:mspace linebreak="nobreak" width="0.25em"/><mml:mn mathvariant="normal">0.2</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mtext> within the BL</mml:mtext><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:mfenced></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula></p>
      <p id="d2e6969">In the second condition, the subscript <inline-formula><mml:math id="M384" display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> indicates that only horizontal derivatives are considered.</p>
</app>

<app id="App1.Ch1.S3">
  <label>Appendix C</label><title>Coupling Coefficient Linear Regressions</title>
      <p id="d2e6988">This section presents the binned linear regressions between mesoscale anomalies whose slopes are displayed in Fig. <xref ref-type="fig" rid="F4"/>: the coupling coefficients. A discussion follows in Sect. <xref ref-type="sec" rid="Ch1.S4.SS2"/>.</p>

      <fig id="FC1"><label>Figure C1</label><caption><p id="d2e6997">Binned scatter plots of surface current vorticity (<inline-formula><mml:math id="M385" display="inline"><mml:mi mathvariant="italic">ξ</mml:mi></mml:math></inline-formula>) vs. surface wind curl mesoscale anomalies in the <bold>(a)</bold> EURECA, <bold>(b)</bold> Amazon, <bold>(c)</bold> Downstream, and <bold>(d)</bold> Tradewind. In all cases, error bars represent the standard deviation of each bin. Bins are computed using daily averages from the JF 2020 season, excluding the continental shelf (seafloor depth <inline-formula><mml:math id="M386" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) and islands as described in the main text. All the panels include least-squares regression lines for the mesoscale, with the slope <inline-formula><mml:math id="M388" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> standard error (<inline-formula><mml:math id="M389" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value) indicated in the legends. To build each bin, surface current vorticity samples are divided into 2 <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">%</mml:mi></mml:mrow></mml:math></inline-formula> percentile intervals.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f12.png"/>
        

      </fig>

      <fig id="FC2"><label>Figure C2</label><caption><p id="d2e7070">As in Fig. <xref ref-type="fig" rid="FC1"/> but for the linear regression between near-surface wind (<inline-formula><mml:math id="M391" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>) and SST mesoscale anomalies.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f13.png"/>
        

      </fig>

<fig id="FC3"><label>Figure C3</label><caption><p id="d2e7094">As in Figs. <xref ref-type="fig" rid="FC1"/> and <xref ref-type="fig" rid="FC2"/> but for the linear regression between near-surface specific humidity (<inline-formula><mml:math id="M392" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula>) and SST mesoscale anomalies.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f14.png"/>
        

      </fig>

      <fig id="FC4"><label>Figure C4</label><caption><p id="d2e7118">As in Figs. <xref ref-type="fig" rid="FC1"/>, <xref ref-type="fig" rid="FC2"/>, and <xref ref-type="fig" rid="FC3"/> but for the linear regression between near-surface air temperature (<inline-formula><mml:math id="M393" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>) and SST mesoscale anomalies.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f15.png"/>
        

      </fig>


</app>

<app id="App1.Ch1.S4">
  <label>Appendix D</label><title>Time Series of Surface Winds, Relative Winds and Surface Currents</title>

      <fig id="FD1"><label>Figure D1</label><caption><p id="d2e7154">Time series of the area-weighted mean wind speed (blue), relative wind (red) and surface current (black) for <bold>(a)</bold> EURECA, <bold>(b)</bold> Amazon, <bold>(c)</bold> Downstream, and <bold>(d)</bold> Tradewind.</p></caption>
        <graphic xlink:href="https://os.copernicus.org/articles/22/699/2026/os-22-699-2026-f16.png"/>
        

      </fig>

</app>
  </app-group><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d2e7181">All the codes used to produce the figures of this article are available upon request to the first author.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e7187">Apart from the EURECA simulation, we benefited from several data sets made freely available and listed here. <list list-type="bullet"><list-item>
      <p id="d2e7192">SeaFlux <xref ref-type="bibr" rid="bib1.bibx70" id="paren.116"/>,  <ext-link xlink:href="https://doi.org/10.5067/SEAFLUX/DATA101" ext-link-type="DOI">10.5067/SEAFLUX/DATA101</ext-link></p></list-item><list-item>
      <p id="d2e7201">SMAP maps produced by Remote sensing systems (RSS v4 40 <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx6" id="paren.117"/>, <ext-link xlink:href="https://doi.org/10.5285/5920a2c77e3c45339477acd31ce62c3c" ext-link-type="DOI">10.5285/5920a2c77e3c45339477acd31ce62c3c</ext-link></p></list-item><list-item>
      <p id="d2e7218">Global Ocean Gridded L4 Sea Surface Heights And Derived Variables Reprocessed 1993 Ongoing <xref ref-type="bibr" rid="bib1.bibx13" id="paren.118"/>,  <ext-link xlink:href="https://doi.org/10.48670/moi-00148" ext-link-type="DOI">10.48670/moi-00148</ext-link>.</p></list-item></list></p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e7231">All authors contributed to the conception and design of the study. CC and LR conducted the EURECA simulation, while PF and SS performed the analyses using its output. These analyses benefited from the contributions of CC, LR, FD, CP, and GL. GL provided technical support with the computing tools required for processing the model data as well. PF drafted the initial version of the manuscript, and all authors approved the final submitted version.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e7237">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="d2e7243">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="d2e7250">The authors sincerely thank the editor and the two reviewers for their constructive comments and valuable suggestions throughout the review process. Their insightful feedback has significantly improved the quality and clarity of this manuscript.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e7255">Pablo Fernández was supported by a PhD grant from Sorbonne Université. This research has been supported by the European Union's Horizon 2020 research and innovation program under grant agreements no. 817578 (TRIATLAS), the Centre National d'Etudes Spatiales through the TOEddies and EUREC4A-OA projects, the French national program LEFE INSU, the IFREMER, the French vessel research fleet, the French research infrastructures AERIS and ODATIS, IPSL, the Chaire Chanel program of the Geosciences Department at ENS, and the EUREC4A-OA JPI Ocean and Climate program.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e7261">This paper was edited by Karen J. Heywood and reviewed by Justin Small and one anonymous referee.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Acquistapace et al.(2022)</label><mixed-citation>Acquistapace, C., Meroni, A. N., Labbri, G., Lange, D., Späth, F., Abbas, S., and Bellenger, H.: Fast atmospheric response to a cold oceanic mesoscale patch in the north-western tropical Atlantic, J. Geophys. Res.-Atmos., 127, e2022JD036799, <ext-link xlink:href="https://doi.org/10.1029/2022JD036799" ext-link-type="DOI">10.1029/2022JD036799</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Anderson et al.(2011)</label><mixed-citation> Anderson, L. A., McGillicuddy Jr., D. J., Maltrud, M. E., Lima, I. D., and Doney, S. C.: Impact of eddy–wind interaction on eddy demographics and phytoplankton community structure in a model of the North Atlantic Ocean, Dynam. Atmos. Oceans, 52, 80–94, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Balaguru et al.(2012)</label><mixed-citation> Balaguru, K., Chang, P., Saravanan, R., Leung, L. R., Xu, Z., Li, M., and Hsieh, J.-S.: Ocean barrier layers' effect on tropical cyclone intensification, P. Natl. Acad. Sci. USA, 109, 14343–14347, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Bishop et al.(2017)</label><mixed-citation>Bishop, S. P., Small, R. J., Bryan, F. O., and Tomas, R. A.: Scale-dependence of midlatitude air-sea interaction, J. Climate, 30, 8207–8221, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-17-0159.1" ext-link-type="DOI">10.1175/JCLI-D-17-0159.1</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Borgnino et al.(2025)</label><mixed-citation>Borgnino, M., Desbiolles, F., Meroni, A. N., and Pasquero, C.: Lower tropospheric response to local sea surface temperature anomalies: a numerical study in the EUREC<sup>4</sup>A region, Geophys. Res. Lett., 52, e2024GL112294, <ext-link xlink:href="https://doi.org/10.1029/2024GL112294" ext-link-type="DOI">10.1029/2024GL112294</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Boutin et al.(2021)</label><mixed-citation>Boutin, J., Vergely, J., Reul, N., Catany, R., Koehler, J., Martin, A., Rouffi, F., Arias, M., Chakroun, M., Corato, G., Estella-Perez, V., Guimbard, S., Hasson, A., Josey, S., Khvorostyanov, D., Kolodziejczyk, N., Mignot, J., Olivier, L., Reverdin, G., Stammer, D., Supply, A., Thouvenin-Masson, C., Turiel, A., Vialard, J., Cipollini, P., and Donlon, C.: ESA Sea Surface Salinity Climate Change Initiative (Sea_Surface_Salinity_cci): weekly and monthly sea surface salinity products, v03. 21, for 2010 to 2020, CEDA [data set], <ext-link xlink:href="https://doi.org/10.5285/5920a2c77e3c45339477acd31ce62c3c" ext-link-type="DOI">10.5285/5920a2c77e3c45339477acd31ce62c3c</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Breugem et al.(2008)</label><mixed-citation> Breugem, W.-P., Chang, P., Jang, C., Mignot, J., and Hazeleger, W.: Barrier layers and tropical Atlantic SST biases in coupled GCMs, Tellus A, 60, 885–897, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Bye(1985)</label><mixed-citation>Bye, J. A.: Large-scale momentum exchange in the coupled atmosphere-ocean, in: Elsevier Oceanography Series, Vol. 40, Elsevier, 51–61, <ext-link xlink:href="https://doi.org/10.1016/S0422-9894(08)70702-5" ext-link-type="DOI">10.1016/S0422-9894(08)70702-5</ext-link>, 1985.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Chelton and Xie(2010)</label><mixed-citation> Chelton, D. and Xie, S.: Coupled atmosphere–ocean interactions at ocean mesoscales, Oceanography, 23, 52–69, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Chelton et al.(2001)</label><mixed-citation> Chelton, D. B., Esbensen, S. K., Schlax, M. G., Thum, N., Freilich, M. H., Wentz, F. J., Gentemann, C. L., McPhaden, M. J., and Schopf, P. S.: Observations of coupling between surface wind stress and sea surface temperature in the eastern tropical Pacific, J. Climate, 14, 1479–1498, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Chelton et al.(2007)</label><mixed-citation> Chelton, D. B., Schlax, M. G., and Samelson, R. M.: Summertime coupling between sea surface temperature and wind stress in the California Current System, J. Phys. Oceanogr., 37, 495–517, 2007.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Chen et al.(2017)</label><mixed-citation> Chen, L., Jia, Y., and Liu, Q.: Oceanic eddy-driven atmospheric secondary circulation in the winter Kuroshio Extension region, J. Oceanogr., 73, 295–307, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>CLS(2018)</label><mixed-citation>CLS: Global Ocean Gridded L 4 Sea Surface Heights And Derived Variables Reprocessed 1993 Ongoing, Copernicus Marine Environment Monitoring Service (CMEMS), under the Copernicus Programme of the European Union [data set], <ext-link xlink:href="https://doi.org/10.48670/moi-00148" ext-link-type="DOI">10.48670/moi-00148</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Coadou-Chaventon et al.(2024)</label><mixed-citation>Coadou-Chaventon, S., Speich, S., Zhang, D., Rocha, C. B., and Swart, S.: Oceanic fronts driven by the Amazon freshwater plume and their thermohaline compensation at the submesoscale, J. Geophys. Res.-Oceans, 129, e2024JC021326, <ext-link xlink:href="https://doi.org/10.1029/2024JC021326" ext-link-type="DOI">10.1029/2024JC021326</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Conejero et al.(2024)</label><mixed-citation>Conejero, C., Renault, L., Desbiolles, F., McWilliams, J., and Giordani, H.: Near-surface atmospheric response to meso-and submesoscale current and thermal feedbacks, J. Phys. Oceanogr., 54, 823–848, <ext-link xlink:href="https://doi.org/10.1175/JPO-D-23-0211.1" ext-link-type="DOI">10.1175/JPO-D-23-0211.1</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Conejero et al.(2025)</label><mixed-citation> Conejero, C., Renault, L., Desbiolles, F., and Giordani, H.: Unveiling the influence of the daily oceanic (sub)mesoscale thermal feedback to the atmosphere, J. Phys. Oceanogr., 55, 1009–1032, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Craig et al.(2017)</label><mixed-citation>Craig, A., Valcke, S., and Coquart, L.: Development and performance of a new version of the OASIS coupler, OASIS3-MCT_3.0, Geosci. Model Dev., 10, 3297–3308, <ext-link xlink:href="https://doi.org/10.5194/gmd-10-3297-2017" ext-link-type="DOI">10.5194/gmd-10-3297-2017</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Cronin et al.(2015)</label><mixed-citation> Cronin, M. F., Pelland, N. A., Emerson, S. R., and Crawford, W. R.: Estimating diffusivity from the mixed layer heat and salt balances in the North Pacific, J. Geophys. Res.-Oceans, 120, 7346–7362, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Debreu et al.(2012)</label><mixed-citation> Debreu, L., Marchesiello, P., Penven, P., and Cambon, G.: Two-way nesting in split-explicit ocean models: algorithms, implementation and validation, Ocean Model., 49, 1–21, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Desbiolles et al.(2014)</label><mixed-citation> Desbiolles, F., Blanke, B., Bentamy, A., and Grima, N.: Origin of fine-scale wind stress curl structures in the Benguela and Canary upwelling systems, J. Geophys. Res.-Oceans, 119, 7931–7948, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Desbiolles et al.(2023)</label><mixed-citation> Desbiolles, F., Meroni, A. N., Renault, L., and Pasquero, C.: Environmental control of wind response to sea surface temperature patterns in reanalysis dataset, J. Climate, 36, 3881–3893, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Dewar and Flierl(1987)</label><mixed-citation> Dewar, W. K. and Flierl, G. R.: Some effects of the wind on rings, J. Phys. Oceanogr., 17, 1653–1667, 1987.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Eden and Dietze(2009)</label><mixed-citation>Eden, C. and Dietze, H.: Effects of mesoscale eddy/wind interactions on biological new production and eddy kinetic energy, J. Geophys. Res.-Oceans, 114, C05023, <ext-link xlink:href="https://doi.org/10.1029/2008JC005129" ext-link-type="DOI">10.1029/2008JC005129</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Edson et al.(2013)</label><mixed-citation> Edson, J. B., Jampana, V., Weller, R. A., Bigorre, S. P., Plueddemann, A. J., Fairall, C. W., Miller, S. D., Mahrt, L., Vickers, D., and Hersbach, H.: On the exchange of momentum over the open ocean, J. Phys. Oceanogr., 43, 1589–1610, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Fairall et al.(2003)</label><mixed-citation> Fairall, C. W., Bradley, E. F., Hare, J., Grachev, A. A., and Edson, J. B.: Bulk parameterization of air–sea fluxes: updates and verification for the COARE algorithm, J. Climate, 16, 571–591, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Fernández et al.(2023)</label><mixed-citation>Fernández, P., Speich, S., Borgnino, M., Meroni, A. N., Desbiolles, F., and Pasquero, C.: On the importance of the atmospheric coupling to the small-scale ocean in the modulation of latent heat flux, Frontiers in Marine Science, 10, 1136558, <ext-link xlink:href="https://doi.org/10.3389/fmars.2023.1136558" ext-link-type="DOI">10.3389/fmars.2023.1136558</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Fernández et al.(2024)</label><mixed-citation>Fernández, P., Speich, S., Bellenger, H., Lange Vega, D., Karstensen, J., Zhang, D., and Rocha, C. B.: On the mechanisms driving latent heat flux variations in the Northwest Tropical Atlantic, J. Geophys. Res.-Oceans, 129, e2023JC020658, <ext-link xlink:href="https://doi.org/10.1029/2023JC020658" ext-link-type="DOI">10.1029/2023JC020658</ext-link> 2024.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Foltz and McPhaden(2009)</label><mixed-citation> Foltz, G. R. and McPhaden, M. J.: Impact of barrier layer thickness on SST in the central tropical North Atlantic, J. Climate, 22, 285–299, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Foussard et al.(2019)</label><mixed-citation> Foussard, A., Lapeyre, G., and Plougonven, R.: Response of surface wind divergence to mesoscale SST anomalies under different wind conditions, J. Atmos. Sci., 76, 2065–2082, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Gaube et al.(2013)</label><mixed-citation> Gaube, P., Chelton, D. B., Strutton, P. G., and Behrenfeld, M. J.: Satellite observations of chlorophyll, phytoplankton biomass, and Ekman pumping in nonlinear mesoscale eddies, J. Geophys. Res.-Oceans, 118, 6349–6370, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Gaube et al.(2015)</label><mixed-citation> Gaube, P., Chelton, D. B., Samelson, R. M., Schlax, M. G., and O'Neill, L. W.: Satellite observations of mesoscale eddy-induced Ekman pumping, J. Phys. Oceanogr., 45, 104–132, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Gaube et al.(2019)</label><mixed-citation> Gaube, P., Chickadel, C., Branch, R., and Jessup, A.: Satellite observations of SST-induced wind speed perturbation at the oceanic submesoscale, Geophys. Res. Lett., 46, 2690–2695, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Gentemann et al.(2020)</label><mixed-citation>Gentemann, C. L., Clayson, C. A., Brown, S., Lee, T., Parfitt, R., Farrar, J. T., Bourassa, M., Minnett, P. J., Seo, H., Gille, S. T., and Zlotnicki, V.: FluxSat: measuring the ocean–atmosphere turbulent exchange of heat and moisture from space, Remote Sens.-Basel, 12, 1796, <ext-link xlink:href="https://doi.org/10.3390/rs12111796" ext-link-type="DOI">10.3390/rs12111796</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Gévaudan et al.(2021)</label><mixed-citation> Gévaudan, M., Jouanno, J., Durand, F., Morvan, G., Renault, L., and Samson, G.: Influence of ocean salinity stratification on the tropical Atlantic Ocean surface, Clim. Dynam., 57, 321–340, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Gill(1982)</label><mixed-citation>Gill, A. E.: Atmosphere-Ocean Dynamics, Vol. 30, Academic Press, <ext-link xlink:href="https://doi.org/10.1016/s0074-6142(08)x6002-4" ext-link-type="DOI">10.1016/s0074-6142(08)x6002-4</ext-link>, 1982.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Girishkumar et al.(2020)</label><mixed-citation>Girishkumar, M., Ashin, K., McPhaden, M., Balaji, B., and Praveenkumar, B.: Estimation of vertical heat diffusivity at the base of the mixed layer in the Bay of Bengal, J. Geophys. Res.-Oceans, 125, e2019JC015402, <ext-link xlink:href="https://doi.org/10.1029/2019JC015402" ext-link-type="DOI">10.1029/2019JC015402</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Gruber et al.(2011)</label><mixed-citation> Gruber, N., Lachkar, Z., Frenzel, H., Marchesiello, P., Münnich, M., McWilliams, J. C., Nagai, T., and Plattner, G.-K.: Eddy-induced reduction of biological production in eastern boundary upwelling systems, Nat. Geosci., 4, 787–792, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Hayes et al.(1989)</label><mixed-citation> Hayes, S., McPhaden, M., and Wallace, J.: The influence of sea-surface temperature on surface wind in the eastern equatorial Pacific: weekly to monthly variability, J. Climate, 2, 1500–1506, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Hernandez et al.(2016)</label><mixed-citation> Hernandez, O., Jouanno, J., and Durand, F.: Do the Amazon and Orinoco freshwater plumes really matter for hurricane-induced ocean surface cooling?, J. Geophys. Res.-Oceans, 121, 2119–2141, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Iyer et al.(2022)</label><mixed-citation>Iyer, S., Drushka, K., Thompson, E. J., and Thomson, J.: Small-scale spatial variations of air-sea heat, moisture, and buoyancy fluxes in the tropical trade winds, J. Geophys. Res.-Oceans, 127, e2022JC018972, <ext-link xlink:href="https://doi.org/10.1029/2022JC018972" ext-link-type="DOI">10.1029/2022JC018972</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Johns et al.(1990)</label><mixed-citation> Johns, W. E., Lee, T. N., Schott, F. A., Zantopp, R. J., and Evans, R. H.: The North Brazil Current retroflection: seasonal structure and eddy variability, J. Geophys. Res.-Oceans, 95, 22103–22120, 1990.</mixed-citation></ref>
      <ref id="bib1.bibx42"><label>Krishnamohan et al.(2019)</label><mixed-citation> Krishnamohan, K., Vialard, J., Lengaigne, M., Masson, S., Samson, G., Pous, S., Neetu, S., Durand, F., Shenoi, S., and Madec, G.: Is there an effect of Bay of Bengal salinity on the northern Indian Ocean climatological rainfall?, Deep-Sea Res. Pt. II, 166, 19–33, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx43"><label>Leyba et al.(2017)</label><mixed-citation> Leyba, I. M., Saraceno, M., and Solman, S. A.: Air-sea heat fluxes associated to mesoscale eddies in the Southwestern Atlantic Ocean and their dependence on different regional conditions, Clim. Dynam., 49, 2491–2501, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>Lindzen and Nigam(1987)</label><mixed-citation> Lindzen, R. S. and Nigam, S.: On the role of sea surface temperature gradients in forcing low-level winds and convergence in the tropics, J. Atmos. Sci., 44, 2418–2436, 1987.</mixed-citation></ref>
      <ref id="bib1.bibx45"><label>Liu et al.(2018)</label><mixed-citation> Liu, H., Li, W., Chen, S., Fang, R., and Li, Z.: Atmospheric response to mesoscale ocean eddies over the South China Sea, Adv. Atmos. Sci., 35, 1189–1204, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx46"><label>Liu et al.(2020)</label><mixed-citation>Liu, Y., Yu, L., and Chen, G.: Characterization of sea surface temperature and air-sea heat flux anomalies associated with mesoscale eddies in the South China Sea, J. Geophys. Res.-Oceans, 125, e2019JC015470, <ext-link xlink:href="https://doi.org/10.1029/2019JC015470" ext-link-type="DOI">10.1029/2019JC015470</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx47"><label>Ma et al.(2015)</label><mixed-citation> Ma, J., Xu, H., Dong, C., Lin, P., and Liu, Y.: Atmospheric responses to oceanic eddies in the Kuroshio Extension region, J. Geophys. Res.-Atmos., 120, 6313–6330, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx48"><label>Ma et al.(2020)</label><mixed-citation>Ma, Z., Fei, J., Lin, Y., and Huang, X.: Modulation of clouds and rainfall by tropical cyclone's cold wakes, Geophys. Res. Lett., 47, e2020GL088873, <ext-link xlink:href="https://doi.org/10.1029/2020GL088873" ext-link-type="DOI">10.1029/2020GL088873</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx49"><label>Maes and O'Kane(2014)</label><mixed-citation> Maes, C. and O'Kane, T. J.: Seasonal variations of the upper ocean salinity stratification in the Tropics, J. Geophys. Res.-Oceans, 119, 1706–1722, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx50"><label>Mahadevan et al.(2016)</label><mixed-citation> Mahadevan, A., Jaeger, G. S., Freilich, M., Omand, M. M., Shroyer, E. L., and Sengupta, D.: Freshwater in the Bay of Bengal: its fate and role in air-sea heat exchange, Oceanography, 29, 72–81, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx51"><label>Martin and Richards(2001)</label><mixed-citation> Martin, A. P. and Richards, K. J.: Mechanisms for vertical nutrient transport within a North Atlantic mesoscale eddy, Deep-Sea Res. Pt. II, 48, 757–773, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx52"><label>Meroni et al.(2018)</label><mixed-citation> Meroni, A. N., Parodi, A., and Pasquero, C.: Role of SST patterns on surface wind modulation of a heavy midlatitude precipitation event, J. Geophys. Res.-Atmos., 123, 9081–9096, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx53"><label>Meroni et al.(2020)</label><mixed-citation> Meroni, A. N., Giurato, M., Ragone, F., and Pasquero, C.: Observational evidence of the preferential occurrence of wind convergence over sea surface temperature fronts in the Mediterranean, Q. J. Roy. Meteor. Soc., 146, 1443–1458, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx54"><label>Mignot et al.(2012)</label><mixed-citation>Mignot, J., Lazar, A., and Lacarra, M.: On the formation of barrier layers and associated vertical temperature inversions: a focus on the northwestern tropical Atlantic, J. Geophys. Res.-Oceans, 117, C02010, <ext-link xlink:href="https://doi.org/10.1029/2011JC007435" ext-link-type="DOI">10.1029/2011JC007435</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx55"><label>Miller(1976)</label><mixed-citation> Miller, J. R.: The salinity effect in a mixed layer ocean model, J. Phys. Oceanogr., 6, 29–35, 1976.</mixed-citation></ref>
      <ref id="bib1.bibx56"><label>Minobe et al.(2008)</label><mixed-citation> Minobe, S., Kuwano-Yoshida, A., Komori, N., Xie, S.-P., and Small, R. J.: Influence of the Gulf Stream on the troposphere, Nature, 452, 206–209, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx57"><label>Nagai et al.(2015)</label><mixed-citation> Nagai, T., Gruber, N., Frenzel, H., Lachkar, Z., McWilliams, J. C., and Plattner, G.-K.: Dominant role of eddies and filaments in the offshore transport of carbon and nutrients in the California Current System, J. Geophys. Res.-Oceans, 120, 5318–5341, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx58"><label>Oerder et al.(2018)</label><mixed-citation> Oerder, V., Colas, F., Echevin, V., Masson, S., and Lemarié, F.: Impacts of the mesoscale ocean-atmosphere coupling on the Peru-Chile ocean dynamics: the current-induced wind stress modulation, J. Geophys. Res.-Oceans, 123, 812–833, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx59"><label>Olivier et al.(2022)</label><mixed-citation>Olivier, L., Boutin, J., Reverdin, G., Lefèvre, N., Landschützer, P., Speich, S., Karstensen, J., Labaste, M., Noisel, C., Ritschel, M., Steinhoff, T., and Wanninkhof, R.: Wintertime process study of the North Brazil Current rings reveals the region as a larger sink for <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> than expected, Biogeosciences, 19, 2969–2988, <ext-link xlink:href="https://doi.org/10.5194/bg-19-2969-2022" ext-link-type="DOI">10.5194/bg-19-2969-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx60"><label>O'Neill et al.(2005)</label><mixed-citation> O'Neill, L. W., Chelton, D. B., Esbensen, S. K., and Wentz, F. J.: High-resolution satellite measurements of the atmospheric boundary layer response to SST variations along the Agulhas Return Current, J. Climate, 18, 2706–2723, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx61"><label>Pailler et al.(1999)</label><mixed-citation> Pailler, K., Bourles, B., and Gouriou, Y.: The barrier layer in the western tropical Atlantic Ocean, Geophys. Res. Lett., 26, 2069–2072, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx62"><label>Pasquero et al.(2021)</label><mixed-citation>Pasquero, C., Desbiolles, F., and Meroni, A. N.: Air-sea interactions in the cold wakes of tropical cyclones, Geophys. Res. Lett., 48, e2020GL091185, <ext-link xlink:href="https://doi.org/10.1029/2020GL091185" ext-link-type="DOI">10.1029/2020GL091185</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx63"><label>Renault et al.(2016a)</label><mixed-citation> Renault, L., Deutsch, C., McWilliams, J. C., Frenzel, H., Liang, J.-H., and Colas, F.: Partial decoupling of primary productivity from upwelling in the California Current system, Nat. Geosci., 9, 505–508, 2016a.</mixed-citation></ref>
      <ref id="bib1.bibx64"><label>Renault et al.(2016b)</label><mixed-citation> Renault, L., Molemaker, M. J., McWilliams, J. C., Shchepetkin, A. F., Lemarié, F., Chelton, D., Illig, S., and Hall, A.: Modulation of wind work by oceanic current interaction with the atmosphere, J. Phys. Oceanogr., 46, 1685–1704, 2016b.</mixed-citation></ref>
      <ref id="bib1.bibx65"><label>Renault et al.(2019a)</label><mixed-citation>Renault, L., Lemarié, F., and Arsouze, T.: On the implementation and consequences of the oceanic currents feedback in ocean–atmosphere coupled models, Ocean Model., 141, 101423, <ext-link xlink:href="https://doi.org/10.1016/j.ocemod.2019.101423" ext-link-type="DOI">10.1016/j.ocemod.2019.101423</ext-link>, 2019a.</mixed-citation></ref>
      <ref id="bib1.bibx66"><label>Renault et al.(2019b)</label><mixed-citation> Renault, L., Masson, S., Oerder, V., Jullien, S., and Colas, F.: Disentangling the mesoscale ocean-atmosphere interactions, J. Geophys. Res.-Oceans, 124, 2164–2178, 2019b.</mixed-citation></ref>
      <ref id="bib1.bibx67"><label>Renault et al.(2023)</label><mixed-citation> Renault, L., Masson, S., Oerder, V., Colas, F., and McWilliams, J.: Modulation of the oceanic mesoscale activity by the mesoscale thermal feedback to the atmosphere, J. Phys. Oceanogr., 53, 1651–1667, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx68"><label>Reverdin et al.(2021)</label><mixed-citation>Reverdin, G., Olivier, L., Foltz, G. R., Speich, S., Karstensen, J., Horstmann, J., Zhang, D., Laxenaire, R., Carton, X., Branger, H., Carrasco, R., and Boutin, J.: Formation and evolution of a freshwater plume in the northwestern tropical Atlantic in February 2020, J. Geophys. Res.-Oceans, 126, e2020JC016981, <ext-link xlink:href="https://doi.org/10.1029/2020JC016981" ext-link-type="DOI">10.1029/2020JC016981</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx69"><label>Richardson et al.(1994)</label><mixed-citation> Richardson, P., Hufford, G., Limeburner, R., and Brown, W.: North Brazil current retroflection eddies, J. Geophys. Res.-Oceans, 99, 5081–5093, 1994.</mixed-citation></ref>
      <ref id="bib1.bibx70"><label>Roberts et al.(2020)</label><mixed-citation>Roberts, J. B., Clayson, C. A., and Robertson, F. R.: Seaflux Data Products V3, Earthdata [data set], <ext-link xlink:href="https://doi.org/10.5067/SEAFLUX/DATA101" ext-link-type="DOI">10.5067/SEAFLUX/DATA101</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx71"><label>Shchepetkin and McWilliams(2005)</label><mixed-citation> Shchepetkin, A. F. and McWilliams, J. C.: The regional oceanic modeling system (ROMS): a split-explicit, free-surface, topography-following-coordinate oceanic model, Ocean Model., 9, 347–404, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx72"><label>Skamarock et al.(2008)</label><mixed-citation>Skamarock, W. C., Klemp, J. B., Dudhia, J., Gill, D. O., Barker, D. M., Duda, M. G., Huang, X.-Y., Wang, W., and Powers, J. G.: A description of the advanced research WRF version 3, NCAR technical note, 475, 10–5065, <ext-link xlink:href="https://doi.org/10.5065/D68S4MVH" ext-link-type="DOI">10.5065/D68S4MVH</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx73"><label>Small et al.(2023)</label><mixed-citation> Small, R., Rousseau, V., Parfitt, R., Laurindo, L., O'Neill, L., Masunaga, R., Schneider, N., and Chang, P.: Near-surface wind convergence over the Gulf Stream – the role of SST revisited, J. Climate, 36, 5527–5548, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx74"><label>Small et al.(2003)</label><mixed-citation> Small, R. J., Xie, S.-P., and Wang, Y.: Numerical simulation of atmospheric response to Pacific tropical instability waves, J. Climate, 16, 3723–3741, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx75"><label>Small et al.(2008)</label><mixed-citation> Small, R. J., DeSzoeke, S. P., Xie, S. P., O'Neill, L., Seo, H., Song, Q., Cornillon, P., Spall, M., and Minobe, S.: Air-sea interaction over ocean fronts and eddies, Dynam. Atmos. Oceans, 45, 274–319, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx76"><label>Small et al.(2019)</label><mixed-citation> Small, R. J., Bryan, F. O., Bishop, S. P., and Tomas, R. A.: Air–sea turbulent heat fluxes in climate models and observational analyses: what drives their variability?, J. Climate, 32, 2397–2421, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx77"><label>Sprintall and Tomczak(1992)</label><mixed-citation> Sprintall, J. and Tomczak, M.: Evidence of the barrier layer in the surface layer of the tropics, J. Geophys. Res.-Oceans, 97, 7305–7316, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx78"><label>Subirade et al.(2023)</label><mixed-citation>Subirade, C., L'Hégaret, P., Speich, S., Laxenaire, R., Karstensen, J., and Carton, X.: Combining an eddy detection algorithm with in-situ measurements to study north Brazil current rings, Remote Sens.-Basel, 15, 1897, <ext-link xlink:href="https://doi.org/10.3390/rs15071897" ext-link-type="DOI">10.3390/rs15071897</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx79"><label>Vialard and Delecluse(1998)</label><mixed-citation> Vialard, J. and Delecluse, P.: An OGCM study for the TOGA decade. Part I: Role of salinity in the physics of the western Pacific fresh pool, J. Phys. Oceanogr., 28, 1071–1088, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx80"><label>Villas Bôas et al.(2015)</label><mixed-citation> Villas Bôas, A., Sato, O., Chaigneau, A., and Castelão, G.: The signature of mesoscale eddies on the air-sea turbulent heat fluxes in the South Atlantic Ocean, Geophys. Res. Lett., 42, 1856–1862, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx81"><label>Wallace et al.(1989)</label><mixed-citation> Wallace, J. M., Mitchell, T., and Deser, C.: The influence of sea-surface temperature on surface wind in the eastern equatorial Pacific: seasonal and interannual variability, J. Climate, 2, 1492–1499, 1989.</mixed-citation></ref>
      <ref id="bib1.bibx82"><label>Xu et al.(2011)</label><mixed-citation> Xu, H., Xu, M., Xie, S.-P., and Wang, Y.: Deep atmospheric response to the spring Kuroshio over the East China Sea, J. Climate, 24, 4959–4972, 2011.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Mechanisms driving mesoscale latent heat flux variations and mixed layer heat content evaluation in the Northwest Tropical Atlantic</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Acquistapace et al.(2022)</label><mixed-citation>
       Acquistapace, C., Meroni, A. N., Labbri, G., Lange, D., Späth, F., Abbas, S., and Bellenger, H.: Fast atmospheric response to a cold oceanic mesoscale patch in the north-western tropical Atlantic, J. Geophys. Res.-Atmos., 127, e2022JD036799, <a href="https://doi.org/10.1029/2022JD036799" target="_blank">https://doi.org/10.1029/2022JD036799</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Anderson et al.(2011)</label><mixed-citation>
       Anderson, L. A., McGillicuddy Jr., D. J., Maltrud, M. E., Lima, I. D., and Doney, S. C.: Impact of eddy–wind interaction on eddy demographics and phytoplankton community structure in a model of the North Atlantic Ocean, Dynam. Atmos. Oceans, 52, 80–94, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Balaguru et al.(2012)</label><mixed-citation>
       Balaguru, K., Chang, P., Saravanan, R., Leung, L. R., Xu, Z., Li, M., and Hsieh, J.-S.: Ocean barrier layers' effect on tropical cyclone intensification, P. Natl. Acad. Sci. USA, 109, 14343–14347, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Bishop et al.(2017)</label><mixed-citation>
       Bishop, S. P., Small, R. J., Bryan, F. O., and Tomas, R. A.: Scale-dependence of midlatitude air-sea interaction, J. Climate, 30, 8207–8221, <a href="https://doi.org/10.1175/JCLI-D-17-0159.1" target="_blank">https://doi.org/10.1175/JCLI-D-17-0159.1</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Borgnino et al.(2025)</label><mixed-citation>
       Borgnino, M., Desbiolles, F., Meroni, A. N., and Pasquero, C.: Lower tropospheric response to local sea surface temperature anomalies: a numerical study in the EUREC<sup>4</sup>A region, Geophys. Res. Lett., 52, e2024GL112294, <a href="https://doi.org/10.1029/2024GL112294" target="_blank">https://doi.org/10.1029/2024GL112294</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Boutin et al.(2021)</label><mixed-citation>
       Boutin, J., Vergely, J., Reul, N., Catany, R., Koehler, J., Martin, A., Rouffi, F., Arias, M., Chakroun, M., Corato, G., Estella-Perez, V., Guimbard, S., Hasson, A., Josey, S., Khvorostyanov, D., Kolodziejczyk, N., Mignot, J., Olivier, L., Reverdin, G., Stammer, D., Supply, A., Thouvenin-Masson, C., Turiel, A., Vialard, J., Cipollini, P., and Donlon, C.: ESA Sea Surface Salinity Climate Change Initiative (Sea_Surface_Salinity_cci): weekly and monthly sea surface salinity products, v03. 21, for 2010 to 2020, CEDA [data set], <a href="https://doi.org/10.5285/5920a2c77e3c45339477acd31ce62c3c" target="_blank">https://doi.org/10.5285/5920a2c77e3c45339477acd31ce62c3c</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Breugem et al.(2008)</label><mixed-citation>
       Breugem, W.-P., Chang, P., Jang, C., Mignot, J., and Hazeleger, W.: Barrier layers and tropical Atlantic SST biases in coupled GCMs, Tellus A, 60, 885–897, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Bye(1985)</label><mixed-citation>
       Bye, J. A.: Large-scale momentum exchange in the coupled atmosphere-ocean, in: Elsevier Oceanography Series, Vol. 40, Elsevier, 51–61, <a href="https://doi.org/10.1016/S0422-9894(08)70702-5" target="_blank">https://doi.org/10.1016/S0422-9894(08)70702-5</a>, 1985.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Chelton and Xie(2010)</label><mixed-citation>
       Chelton, D. and Xie, S.: Coupled atmosphere–ocean interactions at ocean mesoscales, Oceanography, 23, 52–69, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Chelton et al.(2001)</label><mixed-citation>
       Chelton, D. B., Esbensen, S. K., Schlax, M. G., Thum, N., Freilich, M. H., Wentz, F. J., Gentemann, C. L., McPhaden, M. J., and Schopf, P. S.: Observations of coupling between surface wind stress and sea surface temperature in the eastern tropical Pacific, J. Climate, 14, 1479–1498, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Chelton et al.(2007)</label><mixed-citation>
       Chelton, D. B., Schlax, M. G., and Samelson, R. M.: Summertime coupling between sea surface temperature and wind stress in the California Current System, J. Phys. Oceanogr., 37, 495–517, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Chen et al.(2017)</label><mixed-citation>
       Chen, L., Jia, Y., and Liu, Q.:
Oceanic eddy-driven atmospheric secondary circulation in the winter Kuroshio
Extension region, J. Oceanogr., 73, 295–307, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>CLS(2018)</label><mixed-citation>
       CLS: Global Ocean Gridded L 4 Sea Surface Heights And Derived Variables Reprocessed 1993 Ongoing, Copernicus Marine Environment Monitoring Service (CMEMS), under the Copernicus Programme of the European Union [data set], <a href="https://doi.org/10.48670/moi-00148" target="_blank">https://doi.org/10.48670/moi-00148</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Coadou-Chaventon et al.(2024)</label><mixed-citation>
       Coadou-Chaventon, S., Speich, S., Zhang, D., Rocha, C. B., and Swart, S.: Oceanic fronts driven by the Amazon freshwater plume and their thermohaline compensation at the submesoscale, J. Geophys. Res.-Oceans, 129, e2024JC021326, <a href="https://doi.org/10.1029/2024JC021326" target="_blank">https://doi.org/10.1029/2024JC021326</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Conejero et al.(2024)</label><mixed-citation>
       Conejero, C., Renault, L., Desbiolles, F., McWilliams, J., and Giordani, H.: Near-surface atmospheric response to meso-and submesoscale current and thermal feedbacks, J. Phys. Oceanogr., 54, 823–848, <a href="https://doi.org/10.1175/JPO-D-23-0211.1" target="_blank">https://doi.org/10.1175/JPO-D-23-0211.1</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Conejero et al.(2025)</label><mixed-citation>
       Conejero, C., Renault, L., Desbiolles, F., and Giordani, H.: Unveiling the influence of the daily oceanic (sub)mesoscale thermal feedback to the atmosphere, J. Phys. Oceanogr., 55, 1009–1032, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Craig et al.(2017)</label><mixed-citation>
       Craig, A., Valcke, S., and Coquart, L.: Development and performance of a new version of the OASIS coupler, OASIS3-MCT_3.0, Geosci. Model Dev., 10, 3297–3308, <a href="https://doi.org/10.5194/gmd-10-3297-2017" target="_blank">https://doi.org/10.5194/gmd-10-3297-2017</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Cronin et al.(2015)</label><mixed-citation>
       Cronin, M. F., Pelland, N. A., Emerson, S. R., and Crawford, W. R.: Estimating diffusivity from the mixed layer heat and salt balances in the North Pacific, J. Geophys. Res.-Oceans, 120, 7346–7362, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Debreu et al.(2012)</label><mixed-citation>
       Debreu, L., Marchesiello, P., Penven, P., and Cambon, G.: Two-way nesting in split-explicit ocean models: algorithms, implementation and validation, Ocean Model., 49, 1–21, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Desbiolles et al.(2014)</label><mixed-citation>
       Desbiolles, F., Blanke, B., Bentamy, A., and Grima, N.: Origin of fine-scale wind stress curl structures in the Benguela and Canary upwelling systems, J. Geophys. Res.-Oceans, 119, 7931–7948, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Desbiolles et al.(2023)</label><mixed-citation>
       Desbiolles, F., Meroni, A. N., Renault, L., and Pasquero, C.: Environmental control of wind response to sea surface temperature patterns in reanalysis dataset, J. Climate, 36, 3881–3893, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Dewar and Flierl(1987)</label><mixed-citation>
       Dewar, W. K. and Flierl, G. R.: Some effects of the wind on rings, J. Phys. Oceanogr., 17, 1653–1667, 1987.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Eden and Dietze(2009)</label><mixed-citation>
       Eden, C. and Dietze, H.: Effects of mesoscale eddy/wind interactions on biological new production and eddy kinetic energy, J. Geophys. Res.-Oceans, 114, C05023, <a href="https://doi.org/10.1029/2008JC005129" target="_blank">https://doi.org/10.1029/2008JC005129</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Edson et al.(2013)</label><mixed-citation>
       Edson, J. B., Jampana, V., Weller, R. A., Bigorre, S. P., Plueddemann, A. J., Fairall, C. W., Miller, S. D., Mahrt, L., Vickers, D., and Hersbach, H.: On the exchange of momentum over the open ocean, J. Phys. Oceanogr., 43, 1589–1610, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Fairall et al.(2003)</label><mixed-citation>
       Fairall, C. W., Bradley, E. F., Hare, J., Grachev, A. A., and Edson, J. B.: Bulk parameterization of air–sea fluxes: updates and verification for the COARE algorithm, J. Climate, 16, 571–591, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Fernández et al.(2023)</label><mixed-citation>
       Fernández, P., Speich, S., Borgnino, M., Meroni, A. N., Desbiolles, F., and Pasquero, C.: On the importance of the atmospheric coupling to the small-scale ocean in the modulation of latent heat flux, Frontiers in Marine Science, 10, 1136558, <a href="https://doi.org/10.3389/fmars.2023.1136558" target="_blank">https://doi.org/10.3389/fmars.2023.1136558</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Fernández et al.(2024)</label><mixed-citation>
       Fernández, P., Speich, S., Bellenger, H., Lange Vega, D., Karstensen, J., Zhang, D., and Rocha, C. B.: On the mechanisms driving latent heat flux variations in the Northwest Tropical Atlantic, J. Geophys. Res.-Oceans, 129, e2023JC020658, <a href="https://doi.org/10.1029/2023JC020658" target="_blank">https://doi.org/10.1029/2023JC020658</a> 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Foltz and McPhaden(2009)</label><mixed-citation>
       Foltz, G. R. and McPhaden, M. J.: Impact of barrier layer thickness on SST in the central tropical North Atlantic, J. Climate, 22, 285–299, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Foussard et al.(2019)</label><mixed-citation>
       Foussard, A., Lapeyre, G., and Plougonven, R.: Response of surface wind divergence to mesoscale SST anomalies under different wind conditions, J. Atmos. Sci., 76, 2065–2082, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Gaube et al.(2013)</label><mixed-citation>
       Gaube, P., Chelton, D. B., Strutton, P. G., and Behrenfeld, M. J.: Satellite observations of chlorophyll, phytoplankton biomass, and Ekman pumping in nonlinear mesoscale eddies, J. Geophys. Res.-Oceans, 118, 6349–6370, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Gaube et al.(2015)</label><mixed-citation>
       Gaube, P., Chelton, D. B., Samelson, R. M., Schlax, M. G., and O'Neill, L. W.: Satellite observations of mesoscale eddy-induced Ekman pumping, J. Phys. Oceanogr., 45, 104–132, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Gaube et al.(2019)</label><mixed-citation>
       Gaube, P., Chickadel, C., Branch, R., and Jessup, A.: Satellite observations of SST-induced wind speed perturbation at the oceanic submesoscale, Geophys. Res. Lett., 46, 2690–2695, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Gentemann et al.(2020)</label><mixed-citation>
      
Gentemann, C. L., Clayson, C. A., Brown, S., Lee, T., Parfitt, R.,
Farrar, J. T., Bourassa, M., Minnett, P. J., Seo, H., Gille, S. T., and Zlotnicki, V.: FluxSat: measuring the ocean–atmosphere turbulent exchange of heat and moisture from space, Remote Sens.-Basel, 12, 1796, <a href="https://doi.org/10.3390/rs12111796" target="_blank">https://doi.org/10.3390/rs12111796</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Gévaudan et al.(2021)</label><mixed-citation>
       Gévaudan, M., Jouanno, J., Durand, F., Morvan, G., Renault, L., and Samson, G.: Influence of ocean salinity stratification on the tropical Atlantic Ocean surface, Clim. Dynam., 57, 321–340, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Gill(1982)</label><mixed-citation>
      
Gill, A. E.: Atmosphere-Ocean Dynamics, Vol. 30, Academic Press, <a href="https://doi.org/10.1016/s0074-6142(08)x6002-4" target="_blank">https://doi.org/10.1016/s0074-6142(08)x6002-4</a>, 1982.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Girishkumar et al.(2020)</label><mixed-citation>
       Girishkumar, M., Ashin, K., McPhaden, M., Balaji, B., and Praveenkumar, B.: Estimation of vertical heat diffusivity at the base of the mixed layer in the Bay of Bengal, J. Geophys. Res.-Oceans, 125, e2019JC015402, <a href="https://doi.org/10.1029/2019JC015402" target="_blank">https://doi.org/10.1029/2019JC015402</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Gruber et al.(2011)</label><mixed-citation>
       Gruber, N., Lachkar, Z., Frenzel, H., Marchesiello, P., Münnich, M., McWilliams, J. C., Nagai, T., and Plattner, G.-K.: Eddy-induced reduction of biological production in eastern boundary upwelling systems, Nat. Geosci., 4, 787–792, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Hayes et al.(1989)</label><mixed-citation>
       Hayes, S., McPhaden, M., and Wallace, J.: The influence of sea-surface temperature on surface wind in the eastern equatorial Pacific: weekly to monthly variability, J. Climate, 2, 1500–1506, 1989.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Hernandez et al.(2016)</label><mixed-citation>
       Hernandez, O., Jouanno, J., and Durand, F.: Do the Amazon and Orinoco freshwater plumes really matter for hurricane-induced ocean surface cooling?, J. Geophys. Res.-Oceans, 121, 2119–2141, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Iyer et al.(2022)</label><mixed-citation>
       Iyer, S., Drushka, K., Thompson, E. J., and Thomson, J.: Small-scale spatial variations of air-sea heat, moisture, and buoyancy fluxes in the tropical trade winds, J. Geophys. Res.-Oceans, 127, e2022JC018972, <a href="https://doi.org/10.1029/2022JC018972" target="_blank">https://doi.org/10.1029/2022JC018972</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Johns et al.(1990)</label><mixed-citation>
       Johns, W. E., Lee, T. N., Schott, F. A., Zantopp, R. J., and Evans, R. H.: The North Brazil Current retroflection: seasonal structure and eddy variability, J. Geophys. Res.-Oceans, 95, 22103–22120, 1990.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Krishnamohan et al.(2019)</label><mixed-citation>
       Krishnamohan, K., Vialard, J., Lengaigne, M., Masson, S., Samson, G., Pous, S., Neetu, S., Durand, F., Shenoi, S., and Madec, G.: Is there an effect of Bay of Bengal salinity on the northern Indian Ocean climatological rainfall?, Deep-Sea Res. Pt. II, 166, 19–33, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Leyba et al.(2017)</label><mixed-citation>
       Leyba, I. M., Saraceno, M., and Solman, S. A.: Air-sea heat fluxes associated to mesoscale eddies in the Southwestern Atlantic Ocean and their dependence on different regional conditions, Clim. Dynam., 49, 2491–2501, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Lindzen and Nigam(1987)</label><mixed-citation>
       Lindzen, R. S. and Nigam, S.: On the role of sea surface temperature gradients in forcing low-level winds and convergence in the tropics, J. Atmos. Sci., 44, 2418–2436, 1987.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Liu et al.(2018)</label><mixed-citation>
       Liu, H., Li, W., Chen, S., Fang, R., and Li, Z.: Atmospheric response to mesoscale ocean eddies over the South China Sea, Adv. Atmos. Sci., 35, 1189–1204, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Liu et al.(2020)</label><mixed-citation>
       Liu, Y., Yu, L., and Chen, G.: Characterization of sea surface temperature and air-sea heat flux anomalies associated with mesoscale eddies in the South China Sea, J. Geophys. Res.-Oceans, 125, e2019JC015470, <a href="https://doi.org/10.1029/2019JC015470" target="_blank">https://doi.org/10.1029/2019JC015470</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Ma et al.(2015)</label><mixed-citation>
       Ma, J., Xu, H., Dong, C., Lin, P., and Liu, Y.: Atmospheric responses to oceanic eddies in the Kuroshio Extension region, J. Geophys. Res.-Atmos., 120, 6313–6330, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Ma et al.(2020)</label><mixed-citation>
       Ma, Z., Fei, J., Lin, Y., and Huang, X.: Modulation of clouds and rainfall by tropical cyclone's cold wakes, Geophys. Res. Lett., 47, e2020GL088873, <a href="https://doi.org/10.1029/2020GL088873" target="_blank">https://doi.org/10.1029/2020GL088873</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Maes and O'Kane(2014)</label><mixed-citation>
       Maes, C. and O'Kane, T. J.: Seasonal variations of the upper ocean salinity stratification in the Tropics, J. Geophys. Res.-Oceans, 119, 1706–1722, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Mahadevan et al.(2016)</label><mixed-citation>
       Mahadevan, A., Jaeger, G. S., Freilich, M., Omand, M. M., Shroyer, E. L., and Sengupta, D.: Freshwater in the Bay of Bengal: its fate and role in air-sea heat exchange, Oceanography, 29, 72–81, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Martin and Richards(2001)</label><mixed-citation>
       Martin, A. P. and Richards, K. J.: Mechanisms for vertical nutrient transport within a North Atlantic mesoscale eddy, Deep-Sea Res. Pt. II, 48, 757–773, 2001.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Meroni et al.(2018)</label><mixed-citation>
       Meroni, A. N., Parodi, A., and Pasquero, C.: Role of SST patterns on surface wind modulation of a heavy midlatitude precipitation event, J. Geophys. Res.-Atmos., 123, 9081–9096, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Meroni et al.(2020)</label><mixed-citation>
       Meroni, A. N., Giurato, M., Ragone, F., and Pasquero, C.: Observational evidence of the preferential occurrence of wind convergence over sea surface temperature fronts in the Mediterranean, Q. J. Roy. Meteor. Soc., 146, 1443–1458, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Mignot et al.(2012)</label><mixed-citation>
       Mignot, J., Lazar, A., and Lacarra, M.: On the formation of barrier layers and associated vertical temperature inversions: a focus on the northwestern tropical Atlantic, J. Geophys. Res.-Oceans, 117, C02010, <a href="https://doi.org/10.1029/2011JC007435" target="_blank">https://doi.org/10.1029/2011JC007435</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>Miller(1976)</label><mixed-citation>
       Miller, J. R.: The salinity effect in a mixed layer ocean model, J. Phys. Oceanogr., 6, 29–35, 1976.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>Minobe et al.(2008)</label><mixed-citation>
       Minobe, S., Kuwano-Yoshida, A., Komori, N., Xie, S.-P., and Small, R. J.: Influence of the Gulf Stream on the troposphere, Nature, 452, 206–209, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>Nagai et al.(2015)</label><mixed-citation>
       Nagai, T., Gruber, N., Frenzel, H., Lachkar, Z., McWilliams, J. C., and Plattner, G.-K.: Dominant role of eddies and filaments in the offshore transport of carbon and nutrients in the California Current System, J. Geophys. Res.-Oceans, 120, 5318–5341, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>Oerder et al.(2018)</label><mixed-citation>
       Oerder, V., Colas, F., Echevin, V., Masson, S., and Lemarié, F.: Impacts of the mesoscale ocean-atmosphere coupling on the Peru-Chile ocean dynamics: the current-induced wind stress modulation, J. Geophys. Res.-Oceans, 123, 812–833, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>Olivier et al.(2022)</label><mixed-citation>
       Olivier, L., Boutin, J., Reverdin, G., Lefèvre, N., Landschützer, P., Speich, S., Karstensen, J., Labaste, M., Noisel, C., Ritschel, M., Steinhoff, T., and Wanninkhof, R.: Wintertime process study of the North Brazil Current rings reveals the region as a larger sink for CO<sub>2</sub> than expected, Biogeosciences, 19, 2969–2988, <a href="https://doi.org/10.5194/bg-19-2969-2022" target="_blank">https://doi.org/10.5194/bg-19-2969-2022</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>O'Neill et al.(2005)</label><mixed-citation>
       O'Neill, L. W., Chelton, D. B., Esbensen, S. K., and Wentz, F. J.: High-resolution satellite measurements of the atmospheric boundary layer response to SST variations along the Agulhas Return Current, J. Climate, 18, 2706–2723, 2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>Pailler et al.(1999)</label><mixed-citation>
       Pailler, K., Bourles, B., and Gouriou, Y.: The barrier layer in the western tropical Atlantic Ocean, Geophys. Res. Lett., 26, 2069–2072, 1999.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>Pasquero et al.(2021)</label><mixed-citation>
       Pasquero, C., Desbiolles, F., and Meroni, A. N.: Air-sea interactions in the cold wakes of tropical cyclones, Geophys. Res. Lett., 48, e2020GL091185, <a href="https://doi.org/10.1029/2020GL091185" target="_blank">https://doi.org/10.1029/2020GL091185</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>Renault et al.(2016a)</label><mixed-citation>
       Renault, L., Deutsch, C., McWilliams, J. C., Frenzel, H., Liang, J.-H., and Colas, F.: Partial decoupling of primary productivity from upwelling in the California Current system, Nat. Geosci., 9, 505–508, 2016a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>Renault et al.(2016b)</label><mixed-citation>
       Renault, L., Molemaker, M. J., McWilliams, J. C., Shchepetkin, A. F., Lemarié, F., Chelton, D., Illig, S., and Hall, A.: Modulation of wind work by oceanic current interaction with the atmosphere, J. Phys. Oceanogr., 46, 1685–1704, 2016b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>Renault et al.(2019a)</label><mixed-citation>
       Renault, L., Lemarié, F., and Arsouze, T.: On the implementation and consequences of the oceanic currents feedback in ocean–atmosphere coupled models, Ocean Model., 141, 101423, <a href="https://doi.org/10.1016/j.ocemod.2019.101423" target="_blank">https://doi.org/10.1016/j.ocemod.2019.101423</a>, 2019a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>Renault et al.(2019b)</label><mixed-citation>
       Renault, L., Masson, S., Oerder, V., Jullien, S., and Colas, F.: Disentangling the mesoscale ocean-atmosphere interactions, J. Geophys. Res.-Oceans, 124, 2164–2178, 2019b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>Renault et al.(2023)</label><mixed-citation>
       Renault, L., Masson, S., Oerder, V., Colas, F., and McWilliams, J.: Modulation of the oceanic mesoscale activity by the mesoscale thermal feedback to the atmosphere, J. Phys. Oceanogr., 53, 1651–1667, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>Reverdin et al.(2021)</label><mixed-citation>
       Reverdin, G., Olivier, L., Foltz, G. R., Speich, S., Karstensen, J., Horstmann, J., Zhang, D., Laxenaire, R., Carton, X., Branger, H., Carrasco, R., and Boutin, J.: Formation and evolution of a freshwater plume in the northwestern tropical Atlantic in February 2020, J. Geophys. Res.-Oceans, 126, e2020JC016981, <a href="https://doi.org/10.1029/2020JC016981" target="_blank">https://doi.org/10.1029/2020JC016981</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>Richardson et al.(1994)</label><mixed-citation>
       Richardson, P., Hufford, G., Limeburner, R., and Brown, W.: North Brazil current retroflection eddies, J. Geophys. Res.-Oceans, 99, 5081–5093, 1994.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>Roberts et al.(2020)</label><mixed-citation>
       Roberts, J. B., Clayson, C. A., and Robertson, F. R.: Seaflux Data Products V3, Earthdata [data set], <a href="https://doi.org/10.5067/SEAFLUX/DATA101" target="_blank">https://doi.org/10.5067/SEAFLUX/DATA101</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>Shchepetkin and McWilliams(2005)</label><mixed-citation>
       Shchepetkin, A. F. and McWilliams, J. C.: The regional oceanic modeling system (ROMS): a split-explicit, free-surface, topography-following-coordinate oceanic model, Ocean Model., 9, 347–404, 2005.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>Skamarock et al.(2008)</label><mixed-citation>
      
Skamarock, W. C., Klemp, J. B., Dudhia, J., Gill, D. O., Barker, D. M., Duda, M. G., Huang, X.-Y., Wang, W., and Powers, J. G.: A description of the advanced research WRF version 3, NCAR technical note, 475, 10–5065, <a href="https://doi.org/10.5065/D68S4MVH" target="_blank">https://doi.org/10.5065/D68S4MVH</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>Small et al.(2023)</label><mixed-citation>
       Small, R., Rousseau, V., Parfitt, R., Laurindo, L., O'Neill, L., Masunaga, R., Schneider, N., and Chang, P.: Near-surface wind convergence over the Gulf Stream – the role of SST revisited, J. Climate, 36, 5527–5548, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>Small et al.(2003)</label><mixed-citation>
       Small, R. J., Xie, S.-P., and Wang, Y.: Numerical simulation of atmospheric response to Pacific tropical instability waves, J. Climate, 16, 3723–3741, 2003.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>Small et al.(2008)</label><mixed-citation>
       Small, R. J., DeSzoeke, S. P., Xie, S. P., O'Neill, L., Seo, H., Song, Q., Cornillon, P., Spall, M., and Minobe, S.: Air-sea interaction over ocean fronts and eddies, Dynam. Atmos. Oceans, 45, 274–319, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>Small et al.(2019)</label><mixed-citation>
       Small, R. J., Bryan, F. O., Bishop, S. P., and Tomas, R. A.: Air–sea turbulent heat fluxes in climate models and observational analyses: what drives their variability?, J. Climate, 32, 2397–2421, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>Sprintall and Tomczak(1992)</label><mixed-citation>
       Sprintall, J. and Tomczak, M.: Evidence of the barrier layer in the surface layer of the tropics, J. Geophys. Res.-Oceans, 97, 7305–7316, 1992.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>Subirade et al.(2023)</label><mixed-citation>
       Subirade, C., L'Hégaret, P., Speich, S., Laxenaire, R., Karstensen, J., and Carton, X.: Combining an eddy detection algorithm with in-situ measurements to study north Brazil current rings, Remote Sens.-Basel, 15, 1897, <a href="https://doi.org/10.3390/rs15071897" target="_blank">https://doi.org/10.3390/rs15071897</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>Vialard and Delecluse(1998)</label><mixed-citation>
       Vialard, J. and Delecluse, P.: An OGCM study for the TOGA decade. Part I: Role of salinity in the physics of the western Pacific fresh pool, J. Phys. Oceanogr., 28, 1071–1088, 1998.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>Villas Bôas et al.(2015)</label><mixed-citation>
       Villas Bôas, A., Sato, O., Chaigneau, A., and Castelão, G.: The signature of mesoscale eddies on the air-sea turbulent heat fluxes in the South Atlantic Ocean, Geophys. Res. Lett., 42, 1856–1862, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>Wallace et al.(1989)</label><mixed-citation>
       Wallace, J. M., Mitchell, T., and Deser, C.: The influence of sea-surface temperature on surface wind in the eastern equatorial Pacific: seasonal and interannual variability, J. Climate, 2, 1492–1499, 1989.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>Xu et al.(2011)</label><mixed-citation>
       Xu, H., Xu, M., Xie, S.-P., and Wang, Y.: Deep atmospheric response to the spring Kuroshio over the East China Sea, J. Climate, 24, 4959–4972, 2011.

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