<?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">WCD</journal-id><journal-title-group>
    <journal-title>Weather and Climate Dynamics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">WCD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Weather Clim. Dynam.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2698-4016</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/wcd-7-1619-2026</article-id><title-group><article-title>An energetic perspective on the impact of the Atlantic Multidecadal Variability on the West African Monsoon</article-title><alt-title>An energetic perspective on the impact of the AMV on the WAM</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Mohino</surname><given-names>Elsa</given-names></name>
          <email>emohino@ucm.es</email>
        <ext-link>https://orcid.org/0000-0002-4342-6349</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Monerie</surname><given-names>Paul-Arthur</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-5304-9559</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Mignot</surname><given-names>Juliette</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-4894-898X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Bordoni</surname><given-names>Simona</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4771-3350</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Departamento de Física de la Tierra y Astrofísica, Universidad Complutense de Madrid, 28040 Madrid, Spain</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Instituto de Geociencias IGEO (UCM-CSIC), 28040 Madrid, Spain</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>National Centre for Atmospheric Science, University of Reading, Department of Meteorology, P.O. Box 243, Earley Gate, Reading RG6 6BB, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>LOCEAN/IPSL, IRD/Sorbonne Université/CNRS/MNHN, 4 Place Jussieu, 75005 Paris, France</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Civil, Environmental and Mechanical Engineering, University of Trento, 38123 Trento, Italy</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Center Agriculture Food Environment (C3A), University of Trento, San Michele all’Adige, Italy</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Elsa Mohino (emohino@ucm.es)</corresp></author-notes><pub-date><day>2</day><month>September</month><year>2026</year></pub-date>
      
      <volume>7</volume>
      <issue>3</issue>
      <fpage>1619</fpage><lpage>1639</lpage>
      <history>
        <date date-type="received"><day>22</day><month>January</month><year>2026</year></date>
           <date date-type="rev-request"><day>29</day><month>January</month><year>2026</year></date>
           <date date-type="rev-recd"><day>18</day><month>June</month><year>2026</year></date>
           <date date-type="accepted"><day>12</day><month>July</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Elsa Mohino et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://wcd.copernicus.org/articles/7/1619/2026/wcd-7-1619-2026.html">This article is available from https://wcd.copernicus.org/articles/7/1619/2026/wcd-7-1619-2026.html</self-uri><self-uri xlink:href="https://wcd.copernicus.org/articles/7/1619/2026/wcd-7-1619-2026.pdf">The full text article is available as a PDF file from https://wcd.copernicus.org/articles/7/1619/2026/wcd-7-1619-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e144">This study explores mechanisms by which the Atlantic Multidecadal Variability (AMV) drives multidecadal changes in the West African Monsoon (WAM), with a focus on Sahel rainfall. We investigate the AMV-WAM connection through an energetic perspective using atmosphere–ocean coupled models forced by an idealized AMV sea surface temperature (SST) pattern. Results show that a positive AMV phase (anomalously warm North Atlantic) increases net energy input to the atmosphere via enhanced surface latent heat flux. The atmospheric circulation adjusts by exporting this excess energy from the North Atlantic. In the Tropical Atlantic and Africa, this is accomplished by anomalous southward cross-equatorial energy transport and a northward shift of the Intertropical Convergence Zone (ITCZ). Over West Africa, this ITCZ shift leads to increased and northward displaced Sahel rainfall. The monsoon intensification is dynamically consistent with enhanced low-level convergence and high-level divergence in the main ascent region and a decrease in mid-level dry-air intrusion, linked to a weakening of the shallow meridional circulation over the Sahara.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Ministerio de Ciencia e Innovación</funding-source>
<award-id>PID2021-125806NB-I00</award-id>
<award-id>TED2021-130106B-I00</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Universidad Complutense de Madrid</funding-source>
<award-id>Recualificación del Sistema Universitario Español para 2021–2023</award-id>
</award-group>
<award-group id="gs3">
<funding-source>European Commission</funding-source>
<award-id>101003470</award-id>
<award-id>824084</award-id>
</award-group>
<award-group id="gs4">
<funding-source>Wellcome Trust</funding-source>
<award-id>308964/Z/23/Z</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="d2e156">The West African monsoon (WAM) is a complex, strongly coupled system involving the atmosphere, ocean, and land. Its seasonal cycle is marked by a pronounced northward migration of the associated rainfall, which reaches its northernmost position during July, August, and September (JAS) <xref ref-type="bibr" rid="bib1.bibx85" id="paren.1"/>. During these months, the semi-arid Sahel region records most of its annual precipitation <xref ref-type="bibr" rid="bib1.bibx70" id="paren.2"/>. Hence, summer seasonal amounts of Sahel precipitation are closely tied to the strength and latitudinal migrations of the WAM.</p>
      <p id="d2e165">Rainfall over the Sahel has experienced strong variability during the instrumental record <xref ref-type="bibr" rid="bib1.bibx74" id="paren.3"/>, with a notable component at decadal-to-multidecadal timescales <xref ref-type="bibr" rid="bib1.bibx49" id="paren.4"/>. The transition from the rainy years in the 1950s–1960s to the severe drought conditions of the 1970s–1980s was particularly remarkable <xref ref-type="bibr" rid="bib1.bibx15" id="paren.5"/>. Since then, Sahel rainfall has shown a recovery, accompanied by an increased frequency and intensity of extreme rainfall events <xref ref-type="bibr" rid="bib1.bibx79 bib1.bibx84 bib1.bibx13" id="paren.6"><named-content content-type="pre">e.g.</named-content></xref>. Regionally, the recovery has been weaker in the western Sahel compared to the central and eastern sectors <xref ref-type="bibr" rid="bib1.bibx52" id="paren.7"/>.</p>
      <p id="d2e185">There is no clear consensus on the ultimate causes of this observed decadal variability in Sahel rainfall in the instrumental period. Changes in external forcings, compounded with internal climate variability, make attribution of these rainfall fluctuations particularly challenging. The limited length of the observational record and systematic biases in climate models further complicate the task <xref ref-type="bibr" rid="bib1.bibx32" id="paren.8"/>. Consequently, the extent to which the Sahel drought and its subsequent partial recovery can be attributed to anthropogenic influences, such as greenhouse gas emissions or aerosol loads, either through direct or ocean-mediated influences, or to internally generated sea surface temperature (SST) variability, either due to the system's stochasticity or to modifications in the deep oceans, is still highly debated <xref ref-type="bibr" rid="bib1.bibx75 bib1.bibx50 bib1.bibx30 bib1.bibx42 bib1.bibx19 bib1.bibx18 bib1.bibx40 bib1.bibx99 bib1.bibx65 bib1.bibx93 bib1.bibx25 bib1.bibx36 bib1.bibx37 bib1.bibx48 bib1.bibx97 bib1.bibx100 bib1.bibx68 bib1.bibx31 bib1.bibx32 bib1.bibx60 bib1.bibx26" id="paren.9"/>.</p>
      <p id="d2e194">Despite this lack of consensus, there is broad agreement that SST variability associated with the Atlantic Multidecadal Variability (AMV) played a prominent role in modulating Sahel rainfall at decadal timescales. Between 40 % and 65 % of Sahel rainfall variability at these timescales can in fact be explained by AMV <xref ref-type="bibr" rid="bib1.bibx98 bib1.bibx89 bib1.bibx49 bib1.bibx44" id="paren.10"/>. Observational and modelling studies consistently show that the positive phase of AMV, characterized by warmer-than-normal SSTs in the North Atlantic and cooler and weaker anomalies in the South Atlantic <xref ref-type="bibr" rid="bib1.bibx99" id="paren.11"/>, promotes enhanced rainfall over the Sahel and higher occurrence of extreme rainfall events <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx50 bib1.bibx98 bib1.bibx58 bib1.bibx87 bib1.bibx56 bib1.bibx55 bib1.bibx71 bib1.bibx89 bib1.bibx62 bib1.bibx65 bib1.bibx39 bib1.bibx4 bib1.bibx59 bib1.bibx12" id="paren.12"/>.</p>
      <p id="d2e207">Regarding the involved mechanisms, most studies agree that the AMV positive phase shifts the ITCZ northwards and enhances southwesterly surface winds into the Sahel, promoting enhanced low-level moisture flux convergence, convection, and upper-level divergence <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx50 bib1.bibx98 bib1.bibx87 bib1.bibx58 bib1.bibx91 bib1.bibx97" id="paren.13"/>. The cross-equatorial winds are also understood as a response to the sea level pressure interhemispheric gradient that follows the interhemispheric SST gradient <xref ref-type="bibr" rid="bib1.bibx56 bib1.bibx55 bib1.bibx96" id="paren.14"/>. Both dynamical and thermodynamical changes contribute to the total response of the WAM precipitation to AMV <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx62" id="paren.15"/>. However, there is less agreement on the role of the Saharan Heat Low (SHL) and the shallow meridional circulation (SMC) over the Sahara. While <xref ref-type="bibr" rid="bib1.bibx55" id="text.16"/> suggest that a positive AMV increases Sahel precipitation through an increased SMC in response to a stronger SHL, <xref ref-type="bibr" rid="bib1.bibx83" id="text.17"/> challenge this view, highlighting that a strengthened SMC can weaken the monsoon by advecting dry air at mid levels.</p>
      <p id="d2e225">The emerging paradigm of monsoons as energetically direct moist circulations, tightly coupled to the ITCZ and the Hadley circulation <xref ref-type="bibr" rid="bib1.bibx80 bib1.bibx7" id="paren.18"/>, provides a framework to explore WAM variability from an energetic perspective. The column-integrated moist static energy (MSE) budget offers insights into the WAM response to climate change <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx35 bib1.bibx66" id="paren.19"/>. Furthermore, the established relationship between inter-hemispheric atmospheric energy transport and the ITCZ position <xref ref-type="bibr" rid="bib1.bibx45 bib1.bibx54 bib1.bibx21 bib1.bibx8 bib1.bibx80 bib1.bibx1 bib1.bibx2" id="paren.20"/> enables the use of energetic-based metrics to diagnose the location of the monsoon-related rainfall band <xref ref-type="bibr" rid="bib1.bibx82" id="paren.21"/> and to explore uncertainties related to aerosol forcing in understanding 20th-century Sahel rainfall trends <xref ref-type="bibr" rid="bib1.bibx60" id="paren.22"/>. The recent extension of this theory to consideration of the influence of proximal deserts on monsoonal precipitation <xref ref-type="bibr" rid="bib1.bibx82" id="paren.23"/> holds promise to also shed light on the SMC-Sahel rainfall relationship in a unified framework.</p>
      <p id="d2e247">Motivated by this perspective, the aim of this study is to improve understanding of the impact of AMV on the WAM through the lens of the energetic framework. The limited length of the observational record, the misrepresentation of Sahel multidecadal variability in current reanalyses <xref ref-type="bibr" rid="bib1.bibx6" id="paren.24"/>, and the influence of other sources of decadal SST variability, particularly those centred in the Pacific basin <xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx88 bib1.bibx17 bib1.bibx44" id="paren.25"/>, hinder the evaluation of the AMV influence on the WAM from observations alone. To overcome these limitations, here we adopt a modelling approach in which atmosphere–ocean coupled models are forced with an idealised North Atlantic SST pattern characteristic of the AMV through SST restoring <xref ref-type="bibr" rid="bib1.bibx9" id="paren.26"/>. This approach allows us to analyse a large ensemble of realisations, improving signal detection, and to quantify model uncertainty by applying a consistent constraint across different models.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Description of the simulations</title>
      <p id="d2e274">We use two sets of sensitivity experiments, consisting of 10 year runs with global coupled models in which North Atlantic SSTs are constrained to follow a fixed, idealised anomalous pattern of the AMV in its positive (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) and negative (<inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) phases, respectively. The anomalous pattern (see Fig. S1 in the Supplement) is derived from an estimation of the internal component of the observed SST variability, following the procedure proposed by <xref ref-type="bibr" rid="bib1.bibx86" id="text.27"/> and using the ERSSTv4 dataset <xref ref-type="bibr" rid="bib1.bibx41" id="paren.28"/>. The SST AMV signal is imposed in the North Atlantic, from 10–65° N, with an additional 8° buffer zone in which the amplitude of the AMV anomaly is reduced. Within this region, SSTs are constrained either through alteration of the surface fluxes or through a Newtonian SST nudging. Hereinafter, we will jointly refer to these adjustments as SST restoring. Further details on how the AMV pattern is obtained and on how the models' SST is constrained can be found in <xref ref-type="bibr" rid="bib1.bibx9" id="text.29"/> and in the technical notes for AMV simulations (<uri>https://www.wcrp-esmo.org/projects-and-panels/dcpp/dcpp-cmip6</uri>, last access: 17 July 2026). Four models follow the protocol of the Decadal Climate Prediction Project – Component C <xref ref-type="bibr" rid="bib1.bibx9" id="paren.30"><named-content content-type="pre">DCPP-C</named-content></xref>, while nine others follow the protocol proposed in the EU Horizon 2020 PRIMAVERA project <xref ref-type="bibr" rid="bib1.bibx39" id="paren.31"/>. In both cases, for each model, multiple ensemble members are generated by slightly perturbing initial conditions. The protocols differ in the applied radiative forcing (pre-industrial conditions in the DCPP-C protocol and 1950s conditions in the PRIMAVERA protocol) and in the magnitude of the anomalous AMV pattern, which is twice as large in the PRIMAVERA runs. Changes associated with a positive AMV phase are estimated by subtracting the negative experiment from the positive one (AMV<sup>+</sup> <inline-formula><mml:math id="M4" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> AMV<sup>−</sup>). Since this estimation assumes linearity, changes associated with a negative AMV phase can be obtained by reversing the sign of the anomalies. To facilitate comparison between protocols, changes in the model driven by the PRIMAVERA protocol are halved. For each experiment, we first calculate the 10 year mean of the simulation, and then we average all ensemble members for each model.  The climatology for a given model and field is computed as half the sum of the positive and negative experiments, after averaging across ensemble members and the ten simulated years. Although there could be non-linear effects in the AMV impacts <xref ref-type="bibr" rid="bib1.bibx62 bib1.bibx64" id="paren.32"><named-content content-type="pre">e.g.</named-content></xref>, the current protocol does not allow their estimation.</p>
      <p id="d2e351">Table <xref ref-type="table" rid="T1"/> lists the models analysed, including their atmospheric horizontal resolution, protocol followed, number of ensemble members, and main reference.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e359">Overview of the different models used in this study, together with approximate horizontal resolution, number of atmospheric vertical levels, protocol followed for the simulations, number of members for each experiment, and main reference for the model documentation.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Model</oasis:entry>
         <oasis:entry colname="col2">Atmospheric</oasis:entry>
         <oasis:entry colname="col3">Number of atmospheric</oasis:entry>
         <oasis:entry colname="col4">Protocol</oasis:entry>
         <oasis:entry colname="col5">Members</oasis:entry>
         <oasis:entry colname="col6">Reference</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">horizontal resolution</oasis:entry>
         <oasis:entry colname="col3">vertical levels</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">IPSL-CM6A-LR</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.3</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">79</oasis:entry>
         <oasis:entry colname="col4">DCPP-C</oasis:entry>
         <oasis:entry colname="col5">50</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx11" id="text.33"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CNRM-CM6-1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.4</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">91</oasis:entry>
         <oasis:entry colname="col4">DCPP-C</oasis:entry>
         <oasis:entry colname="col5">26</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx90" id="text.34"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EC-Earth3<sup>a</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">91</oasis:entry>
         <oasis:entry colname="col4">DCPP-C</oasis:entry>
         <oasis:entry colname="col5">32</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx22" id="text.35"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HadGEM3-GC31-MM<sup>b</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.83</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.55</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">85</oasis:entry>
         <oasis:entry colname="col4">DCPP-C</oasis:entry>
         <oasis:entry colname="col5">25</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx94" id="text.36"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CNRM-CM6-1</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.4</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">91</oasis:entry>
         <oasis:entry colname="col4">PRIMAVERA</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx90" id="text.37"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EC-Earth3P-HR</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">91</oasis:entry>
         <oasis:entry colname="col4">PRIMAVERA</oasis:entry>
         <oasis:entry colname="col5">17</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx28" id="text.38"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EC-Earth3P<sup>b</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">91</oasis:entry>
         <oasis:entry colname="col4">PRIMAVERA</oasis:entry>
         <oasis:entry colname="col5">25</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx28" id="text.39"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ECMWF-IFS-HR<sup>c</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">25</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">91</oasis:entry>
         <oasis:entry colname="col4">PRIMAVERA</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx73" id="text.40"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">ECMWF-IFS-LR<sup>c</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">91</oasis:entry>
         <oasis:entry colname="col4">PRIMAVERA</oasis:entry>
         <oasis:entry colname="col5">30</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx73" id="text.41"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MetUM-GOML2-HR</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.83</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">0.55</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">85</oasis:entry>
         <oasis:entry colname="col4">PRIMAVERA</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx38" id="text.42"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MetUM-GOML2-LR</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.875</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.25</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">85</oasis:entry>
         <oasis:entry colname="col4">PRIMAVERA</oasis:entry>
         <oasis:entry colname="col5">15</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx38" id="text.43"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MPI-ESM1-2-HR<sup>d</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">95</oasis:entry>
         <oasis:entry colname="col4">PRIMAVERA</oasis:entry>
         <oasis:entry colname="col5">10</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx27" id="text.44"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MPI-ESM1-2-XR<sup>d</sup></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">50</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">km</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">95</oasis:entry>
         <oasis:entry colname="col4">PRIMAVERA</oasis:entry>
         <oasis:entry colname="col5">10</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx27" id="text.45"/>
                  </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e362"><sup>a</sup> Too few vertical levels were available in the output of this model, so it was excluded from both the vertical profile analysis and the calculation of low-level atmospheric thickness. <sup>b</sup> No soil moisture data was available for these models.<sup>c</sup> No near-surface specific humidity data was available for these models.<sup>d</sup> Due to an unrealistic response (see Sect. <xref ref-type="sec" rid="Ch1.S3.SS1"/>), these models are removed from the results shown in the paper. Note that this does not affect the main conclusions of the manuscript.</p></table-wrap-foot></table-wrap>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Derived variables</title>
      <p id="d2e988">From the model's monthly mean outputs, we calculate the following derived variables: <list list-type="bullet"><list-item>
      <p id="d2e993"><italic>Top-of-atmosphere radiative energy imbalance.</italic> The energy imbalance at the top of the atmosphere <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>TOA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is calculated as the difference between net incoming shortwave radiation and outgoing longwave radiation (OLR), with positive values indicating net radiative energy gain for the atmosphere.</p></list-item><list-item>
      <p id="d2e1010"><italic>Surface energy imbalance.</italic> The surface energy imbalance <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>SFC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is calculated as the sum of net surface shortwave radiation, net surface longwave radiation, and surface turbulent enthalpy fluxes (latent and sensible heat), with positive values indicating an energy gain for the atmosphere from below.</p></list-item><list-item>
      <p id="d2e1027"><italic>Net energy input.</italic> The net energy input NEI into the atmospheric column is calculated as the sum of the top-of-the-atmosphere and surface energy imbalances. A positive value indicates a net input of energy into the atmosphere.</p></list-item><list-item>
      <p id="d2e1033"><italic>Moist static energy.</italic> Moist static energy (MSE, <inline-formula><mml:math id="M25" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula>) is calculated as <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mi>h</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mi>T</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mi>q</mml:mi><mml:mo>+</mml:mo><mml:mi>g</mml:mi><mml:mi>z</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the specific heat at constant pressure, <inline-formula><mml:math id="M28" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> is the temperature, <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the latent heat of vaporization, <inline-formula><mml:math id="M30" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> is the specific humidity, <inline-formula><mml:math id="M31" display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> is the gravitational constant, and <inline-formula><mml:math id="M32" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> is the geopotential height.</p></list-item><list-item>
      <p id="d2e1129"><italic>Divergent moist static energy flux.</italic> To estimate the column-integrated divergent MSE flux (<inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi>h</mml:mi><mml:msup><mml:mo>〉</mml:mo><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, with <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="bold-italic">u</mml:mi></mml:math></inline-formula> denoting the horizontal wind, brackets mass-weighted vertical integrals, and <sup>+</sup> the divergent component), we use the column-integrated energy balance of the atmosphere:<disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M36" display="block"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:msub><mml:mo>〈</mml:mo><mml:mi>e</mml:mi><mml:mo>〉</mml:mo><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mo>〈</mml:mo><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi>h</mml:mi><mml:mo>〉</mml:mo><mml:mo>=</mml:mo><mml:mtext>NEI</mml:mtext></mml:mrow></mml:math></disp-formula>where <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:msub><mml:mo>〈</mml:mo><mml:mi>e</mml:mi><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula>, the time tendency of the mass-weighted vertical integral of moist enthalpy <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi>e</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mi>T</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mi>q</mml:mi></mml:mrow></mml:math></inline-formula>, represents the moist energy stored in the atmospheric column, and <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the horizontal divergence operator. Assuming that energy storage is negligible over seasonal and long-term averages (denoted by overbars), we obtain <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mo>〈</mml:mo><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi>h</mml:mi></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>〉</mml:mo><mml:mo>=</mml:mo><mml:mover accent="true"><mml:mtext>NEI</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>. The divergent component of the mass-weighted vertical integral of the MSE flux is hence inferred from NEI assuming the energy budget in Eq. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) is closed and atmospheric energy storage is negligible. Note that even though NEI calculation is performed with monthly mean values, the inferred divergent component of the mass-weighted vertical integral of the MSE flux is inclusive of time means and transient eddies.</p></list-item><list-item>
      <p id="d2e1296"><italic>Low-level atmospheric thickness.</italic> We calculate the low-level atmospheric thickness (LLAT) as the difference between the geopotential heights of the 700 hPa and the 950 hPa surfaces as a metric of the SHL <xref ref-type="bibr" rid="bib1.bibx83" id="paren.46"/>. To focus on robust geopotential changes, we remove the tropical mean between 23° S and 23° N. Following <xref ref-type="bibr" rid="bib1.bibx83" id="text.47"/>, we also estimate the value and the latitude of the LLAT maximum using cubic-spline interpolation of the zonally averaged field between 10 and 35° E.</p></list-item><list-item>
      <p id="d2e1308"><italic>ITCZ position.</italic> We estimate the zonally varying latitude of the ITCZ, <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mtext>max</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, following <xref ref-type="bibr" rid="bib1.bibx2" id="text.48"/> as the position of the maximum rainfall by weighting for each longitude the latitude (<inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula>) by the 10th power of the area-weighted precipitation (<inline-formula><mml:math id="M43" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula>) and integrating between 20° S and 20° N:<disp-formula id="Ch1.Ex1"><mml:math id="M44" display="block"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mtext>max</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:msubsup><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>[</mml:mo><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>)</mml:mo><mml:mi>P</mml:mi><mml:msup><mml:mo>]</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi></mml:mrow><mml:mrow><mml:msubsup><mml:mo>∫</mml:mo><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:msubsup><mml:mo>[</mml:mo><mml:mi>cos⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">ϕ</mml:mi><mml:mo>)</mml:mo><mml:mi>P</mml:mi><mml:msup><mml:mo>]</mml:mo><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi mathvariant="normal">d</mml:mi><mml:mi mathvariant="italic">ϕ</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p></list-item><list-item>
      <p id="d2e1440"><italic>African Easterly Jet position.</italic> The peak of the African Easterly Jet (AEJ) is identified as the minimum of the 600 hPa zonal wind, zonally averaged between 10° W and 10° E, after cubic-spline interpolation.</p></list-item></list></p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Multimodel averaging</title>
      <p id="d2e1453">To highlight the average signals across models, the multimodel mean is calculated as the unweighted average across all available models (an equal weight “1 model, 1 vote” approach), without any special weighting for different versions of the same model. In this calculation, each model is represented by the average over all its ensemble members, which varies among models (Table <xref ref-type="table" rid="T1"/>). Before averaging, all model outputs are regridded to a common horizontal grid of <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">°</mml:mi><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">°</mml:mi></mml:mrow></mml:math></inline-formula> using a first-order conservative method. For the calculation of vertical profiles, outputs are first computed for each model, regridded linearly to a common 1° horizontal grid (vertical levels are standardised, except for EC-Earth3 in the DCPP-C protocol, which is excluded for profile calculations), and then averaged across the available models.</p>
      <p id="d2e1474">In maps and spatial plots, model consistency is evaluated by hatching the regions where less than 80 % of the models agree on the sign of the <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> minus <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> changes in a given variable.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Statistical confidence and intermodel spread</title>
      <p id="d2e1507">As is common in modelling studies, the intermodel spread is used as a measure of uncertainty. We assume the model values form a sample drawn from a normal distribution with unknown variance, and we use the sample variance as an estimate of the population variance. Confidence intervals are constructed using a two-tailed Student's <inline-formula><mml:math id="M48" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>-test at a significance level of <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e1529">We also evaluate the potential relation between the intermodel spread of Sahel rainfall and that of other variables using scatter plots, for which the linear regression and correlation are calculated. The statistical significance of the latter is assessed using a <inline-formula><mml:math id="M50" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>-test at the same significance level of <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e1551">Due to the interdependence among models, determining the number of degrees of freedom in our sample of models is not straightforward <xref ref-type="bibr" rid="bib1.bibx78" id="paren.49"/>. Specifically, two elements are provided by the same model (CNRM-CM6-1) run under the two different protocols, while others represent a single model configuration run at different resolutions (for instance, MetUM-GOML2-HR and MetUM-GOML2-LR). Moreover, several models share components (e.g., atmospheric or oceanic), thus reducing overall diversity. Most results shown are based on a sample of 11 models, of which around 6 can be considered independent, although their components might not be completely independent. Therefore, we assess the statistical significance under two assumptions: (1) treating all models as independent realisations, and (2) assuming only 6 independent elements. This dual approach allows us to evaluate the sensitivity of our conclusions to model interdependence. These are indicated in the text and figures with one and two asterisks, respectively.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Symmetric and antisymmetric components of changes</title>
      <p id="d2e1566">To quantify how much of a given change in a zonally averaged field can be interpreted as a latitudinal shift vs. an amplitude change, we decompose anomalies into symmetric and antisymmetric components relative to the location of the climatological peak. We restrict the analysis to zonally averaged (in the 10° W–10° E longitudinal sector) fields that exhibit a distinct extremum (maximum or minimum) as a function of latitude (e.g., rainfall or zonal wind at 600 hPa) and focus on a latitude window centred on this peak. For any latitude within this window, the symmetric (antisymmetric) component is defined as half the sum (difference) of the value at that latitude and the value at its mirror latitude relative to the peak. For a given latitude range to one side of the peak (for instance, Sahel latitudes for rainfall), we identify the shift with the antisymmetric component and the amplitude change with the symmetric component, both averaged over the latitude range. The total averaged change for that given latitude range is the sum of both components. Unless otherwise stated, the region taken for the averages is from the latitude of the maximum to the northern limit of the plot. For the multimodel mean, the calculation is performed after model averaging.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Drift in the global energy response and model selection</title>
      <p id="d2e1585">We evaluate potential drifts of the simulations by calculating the drift in the TOA energy imbalance <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>TOA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> over the simulated years (Fig. <xref ref-type="fig" rid="F1"/>a). All models except for MPI-ESM-2-HR and MPI-ESM-2-XR show negative <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>TOA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, indicating that the <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> experiment is losing energy at TOA relative to <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. Although the negative values tend to grow over time, the trends are not statistically significant. This weak negative <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>TOA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and its trend in the difference between <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> experiments are consistent with a positive value and trend in OLR (Fig. <xref ref-type="fig" rid="F1"/>b) and in global mean surface temperatures (Fig. <xref ref-type="fig" rid="F1"/>c). The SST restoring imposes warm anomalies over the North Atlantic in the <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> experiment relative to <inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, resulting in a warmer global mean surface temperature anomaly (Fig. <xref ref-type="fig" rid="F1"/>c). This initial anomaly tends to increase over time as regions remote from the North Atlantic begin warming up (Fig. <xref ref-type="fig" rid="F1"/>c). Consequently, the warmer <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> experiment loses more OLR to space relative to the <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> experiment (Fig. <xref ref-type="fig" rid="F1"/>b), which explains the negative <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>TOA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> and its weak negative trend (Fig. <xref ref-type="fig" rid="F1"/>a).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e1739">Simulation drifts. Differences between <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> yearly means averaged across all ensemble members for each model vs. simulated year for: <bold>(a)</bold> global mean net TOA energy imbalance <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>TOA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M67" 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>); <bold>(b)</bold> global mean OLR (<inline-formula><mml:math id="M68" 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>, positive anomalies meaning the Earth is losing more longwave radiation at TOA in <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> than in <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>); <bold>(c)</bold> global mean surface temperature (<inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>); <bold>(d)</bold> tropical (20° S–20° N) mean surface temperature (<inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math></inline-formula>); <bold>(e)</bold> Sahel rainfall (averaged over the 10° W–10° E, 10–20° N box, <inline-formula><mml:math id="M73" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</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 models following the PRIMAVERA protocol (marked as blue in the model names), only half the anomalies are shown. Solid symbols mark statistically significant differences (two-tailed <inline-formula><mml:math id="M74" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>-test) in the <inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> experiments evaluated separately for each year. Letters <inline-formula><mml:math id="M77" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> to <inline-formula><mml:math id="M78" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula> next to the model name indicate trends in the variables shown in the corresponding plot that are statistically different from 0 (at the level of <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>).</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/1619/2026/wcd-7-1619-2026-f01.png"/>

        </fig>

      <p id="d2e1943">Conversely, MPI-ESM-2-HR and MPI-ESM-2-XR exhibit highly anomalous behaviour. In response to warm North Atlantic SST anomalies, these models cool over the simulated period, especially over the tropical ocean regions (Figs. <xref ref-type="fig" rid="F1"/>d and S2). The reasons for this cooling remain unclear, and while we encourage further analysis, it is out of the scope of this study. This cooling causes a strong positive drift of <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>TOA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> (Fig. <xref ref-type="fig" rid="F1"/>a) due to a corresponding negative drift in OLR (Fig. <xref ref-type="fig" rid="F1"/>b). In addition, these models present a strong response in Sahel rainfall (see Fig. S3), characterised by a positive and statistically significant trend throughout the simulation (Fig. <xref ref-type="fig" rid="F1"/>e). We consider this behaviour unrealistic and have therefore removed these two models from the analyses shown here. We caution against the inclusion of the PRIMAVERA <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> simulations performed with these two models in multimodel means, as it can unrealistically distort results and increase intermodel spread <xref ref-type="bibr" rid="bib1.bibx39" id="paren.50"><named-content content-type="pre">as in</named-content></xref>. Nevertheless, our main conclusions regarding the mechanisms governing the Sahel rainfall response to the AMV SST pattern remain robust regardless of the exclusion of these two models.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Changes in Sahel rainfall</title>
      <p id="d2e2002">In response to the imposed positive AMV pattern during boreal summer, there is a pronounced surface warming across continental regions poleward of 30° N, including eastern Asia. In the Southern Hemisphere, warm anomalies appear mainly over South America (Fig. <xref ref-type="fig" rid="F2"/>a). This pattern is consistent with previous studies evaluating similar experiments <xref ref-type="bibr" rid="bib1.bibx76 bib1.bibx77 bib1.bibx63 bib1.bibx39" id="paren.51"/>. Elsewhere, models show weaker and less consistent temperature responses, with modest multimodel mean changes.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e2012">Multimodel mean <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> minus <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> change in JAS for: <bold>(a)</bold> surface temperature (<inline-formula><mml:math id="M85" 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 <bold>(b)</bold> rainfall over West Africa (<inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</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>). Dots mark regions where less than 80 % of the models (less than 9 out of 11) agree on the sign of changes. Contours in panel <bold>(b)</bold> show multimodel mean JAS rainfall (grey contours are drawn every 2 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</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> with the starting black contour at 2 <inline-formula><mml:math id="M88" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</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>). <bold>(c)</bold> Scatter plot of Sahel (10° W–10° E, 10–20° N, see purple box in panel <bold>b</bold>) rainfall change as a function of the ITCZ latitude shift (<inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>) averaged over the 10° W–10° E longitude range. The dashed line shows the linear regression fit, and the correlation coefficient is shown in the title. Correlations are marked with one asterisk if they are statistically significant at the level of <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> when taking all the models as independent samples. Two asterisks are used if correlations are statistically significant when lowering the number of independent samples to 6. For the models following the PRIMAVERA protocol (marked with orange symbols in the scatter plot), only half the anomalies are shown.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/1619/2026/wcd-7-1619-2026-f02.png"/>

        </fig>

      <p id="d2e2141">In agreement with earlier work <xref ref-type="bibr" rid="bib1.bibx23 bib1.bibx50 bib1.bibx98 bib1.bibx58 bib1.bibx87 bib1.bibx56 bib1.bibx55 bib1.bibx89 bib1.bibx62 bib1.bibx39 bib1.bibx59" id="paren.52"><named-content content-type="pre">e.g.</named-content></xref>, over West Africa, the positive phase of the AMV leads to increased rainfall over the continent, strongest along the western coast, and over the Atlantic north of 5° N (Fig. <xref ref-type="fig" rid="F2"/>b). Negative precipitation anomalies occur to the south of the main convective regions. Models show high consistency in the positive rainfall response over the Sahel but larger uncertainty over the Guinea Gulf coastal regions west of 0° E (Fig. <xref ref-type="fig" rid="F2"/>b). On average, models suggest an increase of <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.10</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.02</mml:mn><mml:mo>*</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">0.03</mml:mn><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</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> in JAS rainfall over the Sahel, corresponding to approximately 5 % of the climatological mean.</p>
      <p id="d2e2192">Increases in Sahel rainfall can arise from an intensification and/or a northward shift of the main rainband. The meridional dipole of precipitation anomalies in Fig. <xref ref-type="fig" rid="F2"/>b is suggestive of a northward displacement of the ITCZ. Most models indeed show such a northward ITCZ shift over West Africa (Fig. <xref ref-type="fig" rid="F2"/>c), with a multimodel mean estimate of <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.09</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.05</mml:mn><mml:mo>*</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">0.08</mml:mn><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula>. Moreover, the intermodel spread in the magnitude of this shift is positively associated with the spread in Sahel rainfall changes, indicating that models simulating a stronger northward ITCZ shift tend to produce larger rainfall increases over the Sahel.</p>
      <p id="d2e2228">To further evaluate if the rainfall response is better interpreted as an intensification or a latitudinal shift, we decompose rainfall changes averaged in the 10° W–10° E longitude sector into symmetric and antisymmetric components relative to the latitude of maximum climatological rainfall (Fig. <xref ref-type="fig" rid="F3"/>a). For the multimodel mean, 70 % of the changes in rainfall over Sahel latitudes are explained by the antisymmetric component (Fig. <xref ref-type="fig" rid="F3"/>b), supporting a dominant contribution from a northward displacement of the precipitation pattern. At the individual model level, results are more disparate, with five models showing a dominance of the antisymmetric component and four a dominance of the symmetric component, consistent with an intensification of the mean precipitation pattern. The intermodel spread of changes over the Sahel is positively correlated with both components (Fig. <xref ref-type="fig" rid="F3"/>c and d), which is expected since their sum represents the total change. However, the correlation with the symmetric component is weak and not statistically significant, while it is stronger and statistically significant for the antisymmetric one.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2239">Decomposition of rainfall changes into symmetric and antisymmetric components. <bold>(a)</bold> Multimodel mean climatology of rainfall in JAS averaged between 10° W and 10° E (orange, left axis, <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</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 <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> minus <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> change (black continuous line, right axis, <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</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 change has been decomposed into symmetric (grey line, right axis) and antisymmetric (dashed line, right axis), relative to the maximum climatological value. <bold>(b)</bold> Symmetric and antisymmetric components of <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> minus <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> average rainfall change in the Sahel box (see purple box in Fig. <xref ref-type="fig" rid="F2"/>b) in JAS for all models and the multimodel mean (<inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</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>). <bold>(c, d)</bold> show scatter plots of rainfall change in the Sahel box as a function of its symmetric and antisymmetric components, respectively (<inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</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 models following the PRIMAVERA protocol (marked as orange symbols), only half the anomalies are shown. In the scatter plots, the dashed line shows the linear regression fit, and the correlation coefficient is shown in the title. Correlations are marked with one asterisk if they are statistically significant at the level of <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> when taking all the models as independent samples. Two asterisks are used if correlations are statistically significant when lowering the number of independent samples to 6.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/1619/2026/wcd-7-1619-2026-f03.png"/>

        </fig>

      <p id="d2e2385">In summary, in response to the positive AVM phase, models simulate an enhancement of Sahel rainfall, arising from both an intensification and a northward shift of the main rainband.  The northward displacement dominates the mean response and also helps explain the intermodel spread in total rainfall changes.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Large-scale mechanism driving changes in Sahel rainfall</title>
      <p id="d2e2396">As shown above, the response of Sahel rainfall to a positive phase of the AMV is dominated by a northward shift of the ITCZ. The energetic framework has established a clear link between similar ITCZ shifts and changes in the cross-equatorial atmospheric energy transport, modulated by the inverse of the net energy input into the atmosphere (NEI) in the equatorial region <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx1 bib1.bibx2 bib1.bibx3 bib1.bibx83" id="paren.53"/>. It is therefore of interest to investigate whether the identified rainfall changes at Sahel longitudes are related to corresponding changes in cross-equatorial energy transport and equatorial NEI modifications. To this aim, Fig. <xref ref-type="fig" rid="F4"/>a shows NEI into the atmosphere and the divergent component of the column-integrated total MSE flux (<inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi>h</mml:mi><mml:msup><mml:mo>〉</mml:mo><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, arrows). In response to a positive AMV, changes in equatorial NEI at Sahel longitudes are small (Fig. <xref ref-type="fig" rid="F4"/>a) and show no consistent alignment with Sahel rainfall changes (not shown). Conversely, a robust anomalous southward cross-equatorial column-integrated MSE flux develops in the Atlantic and along African longitudes (<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:mi>v</mml:mi><mml:mi>h</mml:mi><mml:msup><mml:mo>〉</mml:mo><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, with meridional wind <inline-formula><mml:math id="M104" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F4"/>b), and is also observed at the global scale in the zonal mean (Fig. S4). Provided gross moist stability does not change <xref ref-type="bibr" rid="bib1.bibx46" id="paren.54"/>, the zonally averaged southward energy transport is realised through a northward displacement of the ascending branch of the Hadley circulation <xref ref-type="bibr" rid="bib1.bibx21" id="paren.55"/>. The simulated increase in Sahel rainfall and associated ITCZ northward shift together with the anomalous southward energy transport at the Sahel longitudes are consistent with the zonally averaged paradigm, suggesting sector-mean zonal energy fluxes are of second-order relevance <xref ref-type="bibr" rid="bib1.bibx2" id="paren.56"/>.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e2461">Multimodel average changes in <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> minus <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in JAS for: <bold>(a)</bold> net energy input (NEI) into the atmospheric column (<inline-formula><mml:math id="M107" 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>, shaded) and associated divergent component of the column    integrated MSE flux (<inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mi>h</mml:mi><mml:msup><mml:mo>〉</mml:mo><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><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">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, arrows); <bold>(b)</bold> meridional component of the divergent column integrated MSE flux (<inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:mi>v</mml:mi><mml:mi>h</mml:mi><mml:msup><mml:mo>〉</mml:mo><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, with meridional wind <inline-formula><mml:math id="M111" display="inline"><mml:mi>v</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><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">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>); <bold>(c)</bold> energy imbalance at TOA (<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mtext>TOA</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M114" 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>); <bold>(d)</bold> energy imbalance at the surface (<inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>SFC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M116" 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>); <bold>(e)</bold> latent heat flux at surface (<inline-formula><mml:math id="M117" 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>). For NEI and the energy imbalances, positive values indicate energy gain for the atmosphere. Scatter plots of averaged Sahel rainfall change (<inline-formula><mml:math id="M118" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">d</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: <bold>(f)</bold> strength of the divergent component of the column integrated meridional MSE flux at equatorial latitudes averaged over the Sahel longitudes (<inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:mi>v</mml:mi><mml:mi>h</mml:mi><mml:msubsup><mml:mo>〉</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>+</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><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">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>, see orange box in panel <bold>b</bold>); <bold>(g)</bold> NEI averaged over the North Atlantic (<inline-formula><mml:math id="M121" 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>, see orange box in panel <bold>c</bold>); <bold>(h)</bold> surface energy imbalance averaged over the North Atlantic (<inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mtext>SFC</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M123" 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>). For panel <bold>(a)</bold>, anomalies are only shown in regions where at least 80 % (9 out of 11) of simulations agree on their sign. Dots in    panels <bold>(b)</bold>–<bold>(e)</bold> mark regions where fewer than 80 % of the models agree on the sign of changes. For the models following the PRIMAVERA protocol (marked with orange symbols in the scatter plot), only half the anomalies are shown. The legend for the symbols in the scatter plots is the same as in Fig. <xref ref-type="fig" rid="F2"/>c. In the scatter panels, the dashed line shows the linear regression fit, and the correlation coefficient is shown in the title. Correlations are marked with one asterisk if they are statistically significant at the <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> level when considering all models as independent samples. Two asterisks are used if correlations are statistically significant when lowering the number of independent samples to 6.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/1619/2026/wcd-7-1619-2026-f04.png"/>

        </fig>

      <p id="d2e2834">At Sahel longitudes (10° W–10° E, yellow box in Fig. <xref ref-type="fig" rid="F4"/>b), the multimodel mean response in the meridional component of the column-integrated divergent MSE flux across the equator is <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.4</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.4</mml:mn><mml:mo>*</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">0.6</mml:mn><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><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">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>. Combining this with our previous estimate of the mean ITCZ shift at these longitudes yields a displacement of <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6.2</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">4.2</mml:mn><mml:mo>*</mml:mo></mml:msup><mml:mo>)</mml:mo><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> per each <inline-formula><mml:math id="M127" 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">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. When scaled to the entire latitude circle, this corresponds to <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.6</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">1.0</mml:mn><mml:mo>*</mml:mo></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula> per <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">PW</mml:mi></mml:mrow></mml:math></inline-formula>, an estimate in close agreement with those reported by <xref ref-type="bibr" rid="bib1.bibx21" id="text.57"/> for the observed interannual variability of the zonally averaged ITCZ position.</p>
      <p id="d2e2985">The southward cross-equatorial energy transport arises as a response to the enhanced net input of energy into the atmosphere in the North Atlantic (Fig. <xref ref-type="fig" rid="F4"/>a, shaded). This energy excess cannot be stored locally and results in large-scale atmospheric circulation adjustments that generate the divergent MSE flux seen in Fig. <xref ref-type="fig" rid="F4"/>a. These adjustments also include changes in NEI in regions remote from the primary forcing, such as the Atlantic south of the equator, where negative NEI anomalies develop (Fig. <xref ref-type="fig" rid="F4"/>a) and further strengthen the inter-hemispheric energy gradient. Decomposition of the NEI excess into individual contributions from TOA and surface energy imbalances (Fig. <xref ref-type="fig" rid="F4"/>c and d) shows that the main contribution comes from the surface imbalance, which is in turn principally driven by the latent heat flux (Fig. <xref ref-type="fig" rid="F4"/>e). The mean NEI anomaly in the North Atlantic (see box in Fig. <xref ref-type="fig" rid="F4"/>c) is <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.5</mml:mn><mml:mo>±</mml:mo><mml:msup><mml:mn mathvariant="normal">0.1</mml:mn><mml:mo>*</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msup><mml:mn mathvariant="normal">0.2</mml:mn><mml:mrow><mml:mo>*</mml:mo><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><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:mrow></mml:math></inline-formula>, 85 % of which originates from latent heat flux changes. A notable exception to the dominance of latent heat fluxes in the NEI pattern is the northern flank of the tropical NEI maximum (approximately between 60–20° W and 10–20° N). In this specific region, the positive surface energy anomaly is primarily due to cloud-radiative feedbacks linked to the northward ITCZ shift (Fig. S5).</p>
      <p id="d2e3039">Regarding the intermodel spread, the scatterplot in Fig. <xref ref-type="fig" rid="F4"/>f suggests that models with a stronger southward energy transport response also exhibit larger increases in Sahel precipitation. A similar relationship emerges when comparing Sahel rainfall changes with the NEI or surface energy imbalance averaged over the North Atlantic, where strong NEI anomalies develop (Fig. <xref ref-type="fig" rid="F4"/>g and h): models with higher atmospheric energy input through surface fluxes tend to produce stronger southward cross-equatorial energy transport and greater Sahel rainfall anomalies. Note that both the tropical and extratropical portions contribute to the North Atlantic NEI, and their combination explains more inter-model spread of Sahel rainfall changes than either contributor separately (Fig. S6).</p>
      <p id="d2e3046">To further analyse the changes in surface latent heat flux, we apply the bulk aerodynamic formula <xref ref-type="bibr" rid="bib1.bibx29" id="paren.58"/>, whereby the latent heat flux (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mi>L</mml:mi><mml:mi>E</mml:mi></mml:mrow></mml:math></inline-formula>) can be expressed as:

            <disp-formula id="Ch1.Ex2"><mml:math id="M133" display="block"><mml:mrow><mml:mi>L</mml:mi><mml:mi>E</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mi mathvariant="italic">ρ</mml:mi><mml:msub><mml:mi>C</mml:mi><mml:mtext>DE</mml:mtext></mml:msub><mml:msub><mml:mi>U</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mtext>RH</mml:mtext><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M134" display="inline"><mml:mi mathvariant="italic">ρ</mml:mi></mml:math></inline-formula> is the air density, <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>DE</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> is the aerodynamic transfer coefficient for moisture, <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the mean wind speed at the standard height, <inline-formula><mml:math id="M137" 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> is the saturation specific humidity, and RH is the relative humidity. To a first-order approximation, we expect the fractional change in latent heat flux (<inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>L</mml:mi><mml:mi>E</mml:mi><mml:mo>/</mml:mo><mml:mi>L</mml:mi><mml:mi>E</mml:mi></mml:mrow></mml:math></inline-formula>, with <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mi>L</mml:mi><mml:mi>E</mml:mi></mml:mrow></mml:math></inline-formula> denoting the <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> minus <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> anomalies of latent heat flux and <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mi>L</mml:mi><mml:mi>E</mml:mi></mml:mrow></mml:math></inline-formula> the estimated climatological value) to be linearly related to the fractional change in saturated specific humidity (<inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), to the fractional change in mean wind speed (<inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:msub><mml:mi>U</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and to the negative fractional change in relative humidity <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>RH</mml:mtext><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mtext>RH</mml:mtext><mml:mo>)</mml:mo><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. In Fig. <xref ref-type="fig" rid="F5"/>, we present these terms for the surface, except for the wind speed, which is estimated from monthly mean zonal and meridional components at 1000 hPa, and RH, which is calculated as the ratio between near-surface specific humidity and saturation specific humidity at the surface. These represent approximations to near-surface wind speed and relative humidity.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3283">Multimodel mean of fractional changes in <inline-formula><mml:math id="M146" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> minus <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in JAS for: <bold>(a)</bold> latent heat; <bold>(b)</bold> saturation specific humidity at surface; <bold>(c)</bold> wind speed at 1000 <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula>; and <bold>(d)</bold> near-surface relative humidity (plotted as <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mtext>RH</mml:mtext><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mover accent="true"><mml:mtext>RH</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>). Relative humidity is calculated using near-surface specific humidity and the saturated specific humidity at the surface. The latter is estimated over the ocean by first calculating the saturation vapour pressure based on surface temperature <xref ref-type="bibr" rid="bib1.bibx95" id="paren.59"/> and then transforming it into saturation specific humidity, taking into account sea level pressure. Note that ECMWF-IFS-HR and ECMWF-IFS-LR models were not used for surface calculations since they did not provide near-surface specific humidity. Likewise, EC-Earth3 was not used for wind speed at 1000 hPa. Fractional changes are expressed relative to the climatological values at each grid point, which are calculated as half the sum of <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> simulations. Dots mark regions where fewer than 80 % of the models agree on the sign of changes, and values over land are masked out.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/1619/2026/wcd-7-1619-2026-f05.png"/>

        </fig>

      <p id="d2e3387">In response to the imposed SST restoring, the warm SST anomalies over the North Atlantic (Fig. <xref ref-type="fig" rid="F2"/>a) lead to an overall increase in saturation specific humidity (Fig. <xref ref-type="fig" rid="F5"/>b). This would, in isolation, favour enhanced latent heat flux from the surface over the North Atlantic. However, the anomalous spatial patterns in Fig. <xref ref-type="fig" rid="F5"/>a and b differ markedly. Over the tropical north Atlantic, between the equator and 20° N, where fractional changes in <inline-formula><mml:math id="M152" 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> are nearly uniform (Fig. <xref ref-type="fig" rid="F5"/>b), latent heat flux fractional anomalies show a dipole (Fig. <xref ref-type="fig" rid="F5"/>a), with weak and negative values in the tropical Atlantic between 10 and 20° N and west of 30° W, and strong and positive values to the south of 10° N. These differences suggest the influence of feedbacks that modulate the initial response to the imposed SST anomalies <xref ref-type="bibr" rid="bib1.bibx82" id="paren.60"/>. Because the atmosphere is decoupled from the ocean within the SST-restored region, such feedbacks must be of atmospheric origin. Specifically, the northward shift of the Atlantic ITCZ following the <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> forced energy surplus in the North Atlantic would reduce the northerly winds to the north of the climatological ITCZ (approximately located at 10° N) and enhance the southerly winds to the south. This yields a dipole in surface wind speed anomalies (negative north of 10° N, positive to the south; Fig. <xref ref-type="fig" rid="F5"/>c), which in turn suppresses latent heat flux to the north and increases it to the south, consistent with the pattern in Fig. <xref ref-type="fig" rid="F5"/>a. Note that in this region, the experimental setup prevents full atmosphere–ocean coupling, such that positive and negative Wind-Evaporation-SST feedbacks <xref ref-type="bibr" rid="bib1.bibx47 bib1.bibx24" id="paren.61"/> are hindered.</p>
      <p id="d2e3434">In addition, over the North Atlantic subpolar region, changes in relative humidity further enhance latent heat flux into the atmosphere (Fig. <xref ref-type="fig" rid="F5"/>d). This contribution comes from a reduction in the northwestern Atlantic RH (note the negative sign of the RH term in the bulk formula), as the positive anomaly in near-surface specific humidity (not shown) is smaller than the saturated one. This likely reflects a circulation-driven export of moist air away from the North Atlantic subpolar region, redistributing the excess moisture generated by warmer SSTs.</p>
      <p id="d2e3439">In summary, our results show that in response to the positive AMV phase, enhanced turbulent latent heat fluxes from the North Atlantic increase the atmospheric energy input. The excess energy is then exported from the North Atlantic by anomalous atmospheric circulation patterns, which in turn feed back onto the surface fluxes. The resulting steady state is characterised by a southward cross-equatorial energy flux across the Atlantic and African longitudes. In the African sector, this flux is accomplished by a northward shift of the monsoonal Hadley-like circulation's ascending branch and is thus associated with a corresponding northward shift of the main rainfall band, ultimately leading to enhanced rainfall over the Sahel.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Changes in the monsoon structure and dynamics</title>
      <p id="d2e3450">The large-scale responses to the imposed AMV SST anomalies in the North Atlantic indicate modifications of the West African monsoon that extend beyond changes in seasonal rainfall amounts. The main changes in the monsoon circulation are summarised in Fig. <xref ref-type="fig" rid="F6"/>. Close to the surface, during the positive phase of the AMV, models consistently show a stronger low-level westerly flow that penetrates further north (Fig. <xref ref-type="fig" rid="F6"/>a). The magnitude of these anomalies is weak, consistent with the models' general underestimation of the AMV’s impact on Sahel rainfall <xref ref-type="bibr" rid="bib1.bibx59" id="paren.62"/>. Changes in the low-level meridional wind reveal a weakening of the southerly winds south of 13° N (Fig. <xref ref-type="fig" rid="F6"/>b), which enhances low-level wind convergence south of 10° N (Fig. <xref ref-type="fig" rid="F6"/>c), in the region of mean climatological ascent <xref ref-type="bibr" rid="bib1.bibx85 bib1.bibx70" id="paren.63"/>. Positive meridional wind anomalies peak between 15 and 20° N (Fig. <xref ref-type="fig" rid="F6"/>b), altering the horizontal wind divergent field by weakening and shifting northward the lower branch of the shallow meridional circulation (SMC) (Fig. <xref ref-type="fig" rid="F6"/>c).</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3474">Multimodel average changes (shaded) in <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> minus <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> in JAS and climatological values (gray contours, solid for positive values and dashed for negative ones, black contours mark zero isoline) of: <bold>(a)</bold> zonal wind averaged between 10° W and 10° E (<inline-formula><mml:math id="M156" 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>, contours drawn every 2 <inline-formula><mml:math id="M157" 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>); <bold>(b)</bold> meridional wind averaged between 10° W and 10° E (<inline-formula><mml:math id="M158" 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>, contours drawn every 0.5 <inline-formula><mml:math id="M159" 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>); <bold>(c)</bold> divergence of horizontal wind averaged between 10° W and 10° E (<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><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:mrow></mml:math></inline-formula>, contours drawn every <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><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:mrow></mml:math></inline-formula>); <bold>(d)</bold> low-level atmospheric thickness with respect to average tropical values (<inline-formula><mml:math id="M162" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, contours drawn every 10 <inline-formula><mml:math id="M163" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>). Purple vertical lines in panels <bold>(a)</bold>–<bold>(c)</bold> mark the Sahel latitudes. Scatter plots of rainfall change (<inline-formula><mml:math id="M164" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</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>) averaged over the Sahel box (10° W–10° E, 10–20° N, see purple box in panel <bold>d</bold>), <bold>(e)</bold> the shift in the latitude of AEJ (<inline-formula><mml:math id="M165" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi></mml:mrow></mml:math></inline-formula>); <bold>(f)</bold> the change in the northerly meridional wind (<inline-formula><mml:math id="M166" 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>) averaged in the 10° W–10° E, 9–16° N box and between 600 and 700 <inline-formula><mml:math id="M167" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> pressure levels (see orange box in panel <bold>b</bold>); <bold>(g)</bold> the change in strength of the horizontal wind divergence (<inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><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:mrow></mml:math></inline-formula>) averaged in the 10° W–10° E, 14–20° N box and between 600 and 700 <inline-formula><mml:math id="M169" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">hPa</mml:mi></mml:mrow></mml:math></inline-formula> pressure levels (see orange box in panel <bold>c</bold>). For the models following the PRIMAVERA protocol (marked with orange symbols in the scatter plot), only half of the anomalies are shown. The legend for the symbols in the scatter plots is the same as in Fig. <xref ref-type="fig" rid="F2"/>c. In the scatter plots, the dashed line shows the linear regression fit, and the correlation coefficient is shown in the title. Correlations are marked with one asterisk if they are statistically significant at the <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> level when considering all models as independent samples. Two asterisks are used if correlations are statistically significant when lowering the number of independent samples to 6.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/1619/2026/wcd-7-1619-2026-f06.png"/>

        </fig>

      <p id="d2e3774">In the upper troposphere, the Tropical Easterly Jet (TEJ) strengthens, accompanied by enhanced northerlies associated with the upper branch of the Hadley cell (Fig. <xref ref-type="fig" rid="F6"/>a and b). The upper-level horizontal divergence is also enhanced, especially on its northern edge between 10 and 15° N (Fig. <xref ref-type="fig" rid="F6"/>c), suggesting a strengthening and northward displacement of the main ascent region, consistent with the rainfall anomalies.</p>
      <p id="d2e3782">In the mid and lower troposphere, the low-level atmospheric thickness anomalies point to an enhanced and northward-shifted SHL <xref ref-type="bibr" rid="bib1.bibx51" id="paren.64"/>, with positive anomalies north of 20° N and negative ones to the south (Figs. <xref ref-type="fig" rid="F6"/>d, S7 and S8). These negative anomalies are linked to the evaporative cooling induced by increased soil moisture following increased precipitation (see Fig. S9). The resulting evaporative cooling modifies the meridional temperature gradients, reducing them south of the climatological maximum and strengthening them to the north, which favours a northward shift of the African Easterly Jet (AEJ), consistent with thermal wind balance <xref ref-type="bibr" rid="bib1.bibx14" id="paren.65"/>. Indeed, between 800 and 500 hPa, cyclonic zonal wind anomalies south of 20° N indicate a northward shift of the AEJ (Fig. <xref ref-type="fig" rid="F6"/>a). The AEJ also shows a slight weakening (see Fig. S10). At mid levels, the upper branch of the SMC, located between 15 and 20° N and 800–600 hPa (see climatological contours showing divergence in Fig. <xref ref-type="fig" rid="F6"/>c), shows a consistent weakening across models (see Fig. S11). This is reflected in reduced mid-level divergence and a weaker return flow south of 15° N (orange boxes in Fig. <xref ref-type="fig" rid="F6"/>b and c).</p>
      <p id="d2e3800">Regarding the intermodel spread, the scatter plots shown in Fig. <xref ref-type="fig" rid="F6"/>e–g suggest that the changes at mid levels are strongly related to the changes in Sahel rainfall. Models with stronger rainfall change over the Sahel are also those that show a stronger northward shift of the AEJ (Fig. <xref ref-type="fig" rid="F6"/>e). We speculate this link to be a consequence of the surface response to enhanced rainfall (see Fig. S8): increased soil moisture in the latitudinal band between 10 and 15° N following enhanced precipitation promotes evaporative cooling of the surface by changing the balance between latent and sensible heat fluxes, which alters the surface temperature latitudinal gradient and, through thermal wind balance <xref ref-type="bibr" rid="bib1.bibx14" id="paren.66"/>, enhances the AEJ to the north and reduces it to the south. In addition, models that exhibit a weaker shallow meridional circulation, characterised by a weaker mid-level return flow and weaker mid-level divergence close to 15° N, tend to show a stronger rainfall change in the Sahel (Fig. <xref ref-type="fig" rid="F6"/>g, f). Conversely, the intermodel spread of neither the strength nor of the shift of the SHL structure is related to change in Sahel rainfall (see Fig. S7 and S8). The intermodel spread in rainfall changes is also not related to the shift of the divergence by the SMC upper branch (see Fig. S11).</p>
      <p id="d2e3812">The preceding analysis suggests, consistent with <xref ref-type="bibr" rid="bib1.bibx83" id="text.67"/>, a strong coupling between enhanced Sahel rainfall and a weakened return flow of the SMC at mid-levels. Such a weakening reduces the intrusion of dry air into the Sahel, thereby modifying horizontal advection of moist static energy in the region. To further investigate this mechanism, we examine the column-integrated atmospheric energy balance (Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>). Taking time averages, again assuming negligible atmospheric energy storage (<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:msub><mml:mo>〈</mml:mo><mml:mover accent="true"><mml:mi>e</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>〉</mml:mo><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) and decomposing the total transport in mean and eddy components, the energy budget can be written as:

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M172" display="block"><mml:mrow><mml:mover accent="true"><mml:mtext>NEI</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>-</mml:mo><mml:mo>〈</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>〉</mml:mo><mml:mo>-</mml:mo><mml:mo>〈</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="bold">′</mml:mo></mml:msup><mml:msup><mml:mi>h</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>〉</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></disp-formula>

          where overbars denote time averages, and primes denote deviations from the time averages. Together with the continuity equation (<inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>p</mml:mi></mml:msub><mml:mi mathvariant="italic">ω</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M174" display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> is the vertical velocity in pressure coordinates), the second term on the left-hand side of Eq. (<xref ref-type="disp-formula" rid="Ch1.E2"/>) can be written as:

            <disp-formula id="Ch1.Ex3"><mml:math id="M175" display="block"><mml:mrow><mml:mo>〈</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>〉</mml:mo><mml:mo>=</mml:mo><mml:mo>〈</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>〉</mml:mo><mml:mo>-</mml:mo><mml:mo>〈</mml:mo><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msub><mml:mo>∂</mml:mo><mml:mi>p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">ω</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>〉</mml:mo><mml:mo>=</mml:mo><mml:mo>〈</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>〉</mml:mo><mml:mo>+</mml:mo><mml:mo>〈</mml:mo><mml:mover accent="true"><mml:mi mathvariant="italic">ω</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msub><mml:mo>∂</mml:mo><mml:mi>p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>〉</mml:mo></mml:mrow></mml:math></disp-formula>

          This provides the following expression for the column-integrated energy balance:

            <disp-formula id="Ch1.Ex4"><mml:math id="M176" display="block"><mml:mrow><mml:mover accent="true"><mml:mtext>NEI</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>-</mml:mo><mml:mo>〈</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>〉</mml:mo><mml:mo>-</mml:mo><mml:mo>〈</mml:mo><mml:mover accent="true"><mml:mi mathvariant="italic">ω</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msub><mml:mo>∂</mml:mo><mml:mi>p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>〉</mml:mo><mml:mo>-</mml:mo><mml:mo>〈</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>h</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>〉</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></disp-formula>

          In most deep convective regions, including monsoon systems, the transient eddy term is small and the dominant balance is between positive <inline-formula><mml:math id="M177" display="inline"><mml:mover accent="true"><mml:mtext>NEI</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> and the MSE divergence by the vertical advection term (<inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mo>〈</mml:mo><mml:mover accent="true"><mml:mi mathvariant="italic">ω</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msub><mml:mo>∂</mml:mo><mml:mi>p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>〉</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) <xref ref-type="bibr" rid="bib1.bibx69" id="paren.68"/>. In the Sahel monsoon, as shown by <xref ref-type="bibr" rid="bib1.bibx34" id="text.69"/>, the horizontal advection term (<inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mo>〈</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>〉</mml:mo><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) is non negligible and in fact partly balances the positive <inline-formula><mml:math id="M180" display="inline"><mml:mover accent="true"><mml:mtext>NEI</mml:mtext><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula> through import of dry, and hence, lower-MSE air in the upper branch of the SMC.</p>
      <p id="d2e4262">Building on these ideas, in Fig. <xref ref-type="fig" rid="F7"/>, we examine changes in the MSE export by the time-mean horizontal flow (<inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>) over the Sahel. Climatologically, the export of MSE at mid-levels is dominated by the moisture advection term (<inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>, compare black and blue lines in Fig. <xref ref-type="fig" rid="F7"/>a), due to northerly flow between 800 and 300 hPa (Fig. <xref ref-type="fig" rid="F6"/>b) acting on a negative meridional moisture gradient (Fig. <xref ref-type="fig" rid="F7"/>c, <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>y</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>, blue line and axis), that is, by dry air advection by the upper branch of the SMC, in agreement with <xref ref-type="bibr" rid="bib1.bibx34" id="text.70"/>. Temperature advection slightly counteracts this MSE export (Fig. <xref ref-type="fig" rid="F7"/>a, <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>T</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>, red line), since the same northerly flow also advects warmer air.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e4376"><bold>(a)</bold> Climatological export of MSE by the time-mean horizontal flow (<inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>, black line) partitioned into the potential energy (<inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mi>g</mml:mi><mml:mover accent="true"><mml:mi>z</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>, grey line), sensible (<inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>T</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>, red line), and latent enthalpy (<inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>, blue line) components averaged over the Sahel box (10° W–10° E, 10–20° N) for the multimodel mean. <bold>(b)</bold>
<inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> minus <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> multimodel change in the export of MSE by the time-mean horizontal flow (<inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, black) partitioned into the potential energy (<inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mi>g</mml:mi><mml:mover accent="true"><mml:mi>z</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, grey), sensible (<inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>T</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, red), and latent enthalpy (<inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, blue) averaged over the Sahel box. The change in latent enthalpy has been further decomposed into its thermodynamic (<inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, blue dashed) and dynamic (<inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>, blue dotted) components. <bold>(c)</bold> Multimodel mean meridional gradient of the 10° W–10° E zonally averaged specific humidity (<inline-formula><mml:math id="M197" 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> per degree) at 15° N (<inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>y</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>, blue) and <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> minus <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> changes (<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mo>∂</mml:mo><mml:mi>y</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, orange). Scatter plots of averaged Sahel rainfall change (<inline-formula><mml:math id="M202" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">d</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 averages of changes over the Sahel box between 850 hPa and the 500 hPa levels of: <bold>(d)</bold> total export of MSE due to time-mean horizontal flow (<inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>); <bold>(e)</bold> MSE export due to horizontal moisture advection in MSE units (<inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>); and <bold>(f)</bold> its thermodynamic component also in MSE units (<inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>). Units for the energetic terms are <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">W</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:mrow></mml:math></inline-formula>. For the models following the PRIMAVERA protocol (marked with orange symbols), only half of the anomalies are shown. The legend for the symbols in the scatter plots is the same as in Fig. <xref ref-type="fig" rid="F2"/>c. Dots in panels <bold>(b)</bold> and <bold>(c)</bold> mark changes for which at least 80 % of the models agree on the sign. In the scatter plots, the dashed line shows the linear regression fit, and the correlation coefficient is shown in the title. Correlations are marked with one asterisk if they are statistically significant at the level of <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> when taking all the models as independent samples. Two asterisks are used if correlations are statistically significant when lowering the number of independent samples to 6.</p></caption>
          <graphic xlink:href="https://wcd.copernicus.org/articles/7/1619/2026/wcd-7-1619-2026-f07.png"/>

        </fig>

      <p id="d2e4968">In response to a positive phase of the AMV, models consistently show a reduction in MSE export at mid-levels due to weaker time-mean horizontal advection (Fig. <xref ref-type="fig" rid="F7"/>b, <inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, black line). Because changes in NEI over the Sahel are positive (Fig. <xref ref-type="fig" rid="F4"/>a) and the transient eddy MSE flux divergence is small <xref ref-type="bibr" rid="bib1.bibx34" id="paren.71"><named-content content-type="pre">e.g.</named-content></xref>, this reduced horizontal export must be compensated by enhanced export through the divergent circulation. Consequently the vertical advection term (<inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mo>〈</mml:mo><mml:mover accent="true"><mml:mi mathvariant="italic">ω</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:msub><mml:mo>∂</mml:mo><mml:mi>p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula>) becomes more negative. Given the tropical MSE vertical structure, this implies a change from a shallower convection regime to a deeper convection regime with a first-baroclinic mode structure (see Fig. S12). This interpretation agrees with the horizontal divergence anomalies in Fig. <xref ref-type="fig" rid="F6"/>c, which show reduced divergence at mid levels and stronger divergence aloft.</p>
      <p id="d2e5039">A decomposition of the change in the time-mean horizontal MSE export in temperature (<inline-formula><mml:math id="M210" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>c</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>T</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>), geopotential height (<inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>z</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) and moisture (<inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>) components shows that the moisture advection term dominates (compare black and blue solid lines in Fig. <xref ref-type="fig" rid="F7"/>b). Part of the reduced dry-air advection, and therefore the weaker MSE export, stems from the weakening of the meridional flow in the upper branch of the SMC (Fig. <xref ref-type="fig" rid="F7"/>b, <inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:math></inline-formula>, blue dotted line), as positive meridional wind anomalies (Fig. <xref ref-type="fig" rid="F6"/>b) act on the climatological negative meridional moisture gradient (Fig. <xref ref-type="fig" rid="F7"/>c, blue line and axis). However, and consistent with <xref ref-type="bibr" rid="bib1.bibx34" id="text.72"/>, the dominant contribution arises from thermodynamic changes (Fig. <xref ref-type="fig" rid="F7"/>b, <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, dashed blue line) linked to changes in the moisture field itself. Under a positive AMV phase, and consistent with a stronger and more northward location of the rainfall band, the tropospheric moisture content increases across West Africa, especially at Sahel latitudes, peaking slightly north of 15° N in the lower troposphere (not shown). This moistening induces an anomalous positive meridional gradient of moisture in the Sahel (Fig. <xref ref-type="fig" rid="F7"/>c, <inline-formula><mml:math id="M215" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mo>∂</mml:mo><mml:mi>y</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, orange line and axis). The climatological northerlies (contours in Fig. <xref ref-type="fig" rid="F6"/>b) acting on this anomalous meridional gradient explain the negative values of the <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> term in Fig. <xref ref-type="fig" rid="F7"/>b (blue dashed line).</p>
      <p id="d2e5284">Regarding intermodel differences, the scatter plots in Fig. <xref ref-type="fig" rid="F7"/>d–f suggest that changes in Sahel rainfall are strongly linked to mid-tropospheric MSE horizontal advection (<inline-formula><mml:math id="M217" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F7"/>d), mainly through the thermodynamic moisture advection component (<inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">h</mml:mi></mml:msub><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>q</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, Fig. <xref ref-type="fig" rid="F7"/>f). Models exhibiting a stronger reduction in MSE export, through a greater decrease in dry air intrusion at mid levels (mainly mediated by modifications in the moisture profile), also simulate larger increases in Sahel rainfall. This relationship is consistent with the models that show greater decreases in mid-tropospheric horizontal divergence (Fig. <xref ref-type="fig" rid="F6"/>f) indicating a weakening of the shallow convection regime.</p>
      <p id="d2e5359">In summary, a positive phase of AMV promotes a northward shift of the main monsoon circulation features, particularly the SHL and the AEJ. It also enhances low-level convergence near 10° N and divergence aloft, reinforcing the deep convection branch of the monsoon. While also shifting northward, the shallow meridional circulation weakens, reducing the intrusion of dry air into the Sahel main convective region at mid levels. This weakening not only occurs consistently across models but also scales with the magnitude of rainfall increase. The reduced mid-tropospheric dry-air intrusion lowers the MSE export by horizontal advection, which is then compensated by enhanced MSE export through the divergent circulation <xref ref-type="bibr" rid="bib1.bibx34" id="paren.73"/>, ultimately supporting stronger precipitation. The dominant driver of the reduced horizontal MSE export is the thermodynamic component of the moisture advection, highlighting a strong coupling between moisture and circulation changes in the West African monsoon response to AMV.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d2e5374">In this work, we have analysed the impact of AMV on the WAM by comparing two sensitivity experiments (<inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>) conducted with different models under a common experimental framework. This framework restores the North Atlantic SSTs towards an idealised AMV pattern, which mitigates some of the limitations inherent to observational analyses, such as the short observational record, the co-existence of different sources of multidecadal variability, and the misrepresentation of Sahel multidecadal variability in current reanalyses <xref ref-type="bibr" rid="bib1.bibx6" id="paren.74"/>. It also avoids uncertainties associated with model-dependent SST patterns linked to AMV in fully coupled ocean–atmosphere simulations <xref ref-type="bibr" rid="bib1.bibx56" id="paren.75"/>. Nevertheless, our approach is not exempt from its own limitations.</p>
      <p id="d2e5405">The SST restoring, imposed in the North Atlantic, effectively decouples the ocean from the atmosphere in that region. Aside from potentially destabilising the climate system in two models (MPI-ESM1-2-HR and MPI-ESM1-2-XR), this decoupling may alter the surface energy exchanges, particularly in the tropical and subtropical North Atlantic <xref ref-type="bibr" rid="bib1.bibx72" id="paren.76"/>. On the one hand, the positive surface heat flux anomalies shown in Fig. <xref ref-type="fig" rid="F4"/>d would thermodynamically cool the tropical SSTs, thereby dampening these fluxes. On the other hand, the surface wind anomalies accompanying the northward shift of the ITCZ could also induce dynamical changes in the ocean, potentially altering equatorial upwelling and heat transport via the subtropical cells <xref ref-type="bibr" rid="bib1.bibx80" id="paren.77"/>. These ocean–atmosphere feedbacks could influence our estimates of NEI and of the dominant role of surface latent heat fluxes in driving it.  Nevertheless, the potential issues associated with SST restoring for surface heat fluxes are likely smaller during boreal summer, our season of interest. A comparison of fully-coupled and SST-restoring simulations suggests the latter are more realistic during boreal summer, when surface heat fluxes tend to dampen SST anomalies also in the tropical and subtropical regions <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx72" id="paren.78"/>. Furthermore, the observed relationship between reduced sea surface salinity, moisture flux divergence, and Sahel multidecadal variability <xref ref-type="bibr" rid="bib1.bibx53" id="paren.79"/> suggests that surface latent heat fluxes indeed play a relevant role in the observed AMV–WAM coupling.</p>
      <p id="d2e5422">Contrary to what might be expected if the restored set up resulted in an overestimation of the relevance of tropical North Atlantic SSTs <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx72" id="paren.80"/>, the simulated response to AMV is weak. The low-level zonal wind response in Fig. <xref ref-type="fig" rid="F6"/>a is approximately ten times weaker than the observational estimates shown by <xref ref-type="bibr" rid="bib1.bibx55" id="text.81"/>, which cannot be accounted for by the surface temperature differences to which they are associated <xref ref-type="bibr" rid="bib1.bibx55" id="paren.82"><named-content content-type="pre">roughly 2-4 times weaker in the simulations with respect to the composite used in</named-content></xref>. The underestimation of the response in WAM circulation is in agreement with the one already identified by <xref ref-type="bibr" rid="bib1.bibx59" id="text.83"/> in the simulated precipitation response and could be due to a lack of forcing. One could argue that part of the multidecadal variability of WAM responds directly to radiative forcings <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx36" id="paren.84"><named-content content-type="pre">i.e., it is not ocean mediated,</named-content></xref>, and hence is absent from our experiments. Alternatively, as suggested by <xref ref-type="bibr" rid="bib1.bibx32" id="text.85"/>, if most of WAM’s multidecadal variability is indeed ocean mediated, the weak simulated response might indicate that SST anomalies outside the North Atlantic also contribute to the overall AMV impact. Another potential explanation for the weak response is the under-representation of key processes and feedbacks, such as those related to soil moisture <xref ref-type="bibr" rid="bib1.bibx53" id="paren.86"/>, African dust <xref ref-type="bibr" rid="bib1.bibx91 bib1.bibx5" id="paren.87"/> or vegetation <xref ref-type="bibr" rid="bib1.bibx92" id="paren.88"/>, which could also hinder the simulated response of WAM to SST anomalies.</p>
      <p id="d2e5459">Some methodological limitations also need to be emphasized. First, our energetic framework neglects atmospheric energy storage, assuming that the divergent component of the vertically integrated energy flux is balanced by the mean NEI (Eq. <xref ref-type="disp-formula" rid="Ch1.E1"/>), which might not be the case for seasonal means <xref ref-type="bibr" rid="bib1.bibx20" id="paren.89"/>. While the limited available model output does not allow us to verify the validity of this assumption in our simulations, a comparison of these terms using ERA5 reanalysis <xref ref-type="bibr" rid="bib1.bibx33 bib1.bibx57" id="paren.90"/> suggests this is a robust approximation for a 10 year summer mean (see Fig. S13). Second, the vertically integrated MSE fluxes (Fig. <xref ref-type="fig" rid="F4"/>a) do not uniquely identify the specific chain of intermediate physical links driving the WAM adjustment to the AVM forcing. In particular, these integrated fluxes do not allow us to disentangle the relative contributions of the mean circulation and transient eddies, nor the specific roles of latent and sensible energy transport. Consequently, our results do not preclude, and are indeed consistent with, the hypothesis that enhanced moisture transport from the tropical Atlantic acts as a primary causal link between North Atlantic warming and the northward Sahelian ITCZ shift. The presence of a westerly component in the anomalous MSE flux over the Sahel (Fig. <xref ref-type="fig" rid="F4"/>a) supports this interpretation. High-frequency and vertically resolved model output (not currently available for this ensemble) would be necessary to further attribute these changes to specific process-level dynamics.</p>
      <p id="d2e5475">In contrast to <xref ref-type="bibr" rid="bib1.bibx55" id="text.91"/>, our results do not support the hypothesis that the positive phase of AMV enhances Sahel rainfall through an intensification of the shallow meridional circulation (SMC) established over the Sahara. While the entire monsoon system shifts northward and the SHL deepens, as indicated by increased low-level atmospheric thickness, the SMC consistently weakens across models (Fig. <xref ref-type="fig" rid="F6"/>c). This result aligns with the mechanism proposed by <xref ref-type="bibr" rid="bib1.bibx83" id="text.92"/>. The intermodel comparison highlights the relevant role of this SMC weakening at mid-levels: models showing weaker SMC exhibit larger Sahel rainfall increases in response to the positive phase of AMV. Conversely, there is no clear relationship between any measure (strength or shift) of the SHL and Sahel rainfall intensity (see Figs. S7 and S8).</p>
      <p id="d2e5486">Our results further suggest that, in response to a positive phase of AMV, the increase in Sahel rainfall is associated with a reduction of mid-level dry air intrusion from the north, which reduces the MSE export by the time-mean horizontal flow. This is consistent with a transition to deeper convection and a more top-heavy monsoon structure. This association is in good agreement with recent studies investigating the response of Sahel rainfall to climate change <xref ref-type="bibr" rid="bib1.bibx66 bib1.bibx67" id="paren.93"/>, reinforcing the notion that a weakening of the SMC and a reduction in mid-level dry air intrusion are key features of a wetter Sahel. Interestingly, the dominant driver of this reduced mid-level dry air is the thermodynamic component of the moisture advection, suggesting a strong coupling between moisture and circulation changes.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e5501">In this study, we analysed simulations from 13 coupled models in which the North Atlantic SSTs were restored to follow an idealised SST pattern representative of the AMV. We compared two experiments, <inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>+</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msup><mml:mtext>AMV</mml:mtext><mml:mo>-</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>, to estimate the linear response to the AMV and study its impact on the WAM from an energetic perspective. The simulations showed no significant drift, except for two models, whose results were deemed unrealistic and were not included in subsequent analyses.</p>
      <p id="d2e5526">All models simulate increased Sahel rainfall during the positive AMV phase. The multimodel mean response is best described as a northward shift of the local ITCZ rather than a mere intensification. Intermodel differences in the increase of Sahel rainfall are also positively correlated with those in the northward ITCZ shift.</p>
      <p id="d2e5529">From an energetic perspective, ITCZ shifts, such as those simulated in the Atlantic and West Africa in response to a positive AMV phase, have been associated with changes in the cross-equatorial energy transport <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx1 bib1.bibx2" id="paren.94"/>. The imposed warm SST anomalies lead to an increase in the net energy input into the atmosphere over the North Atlantic. This excess energy is then exported from this region by the atmospheric circulation. In the tropical region, such export is directed towards the southern hemisphere, with an anomalous southward cross-equatorial energy flux in Atlantic and African longitudes. As this transport is primarily accomplished by the Hadley circulation <xref ref-type="bibr" rid="bib1.bibx80" id="paren.95"/>, the southward cross-equatorial energy flux is consistent with a northward shift of the Atlantic and African ITCZ, leading to enhanced rainfall over the Sahel. Additionally, there is a positive intermodel correlation between anomalous Sahel rainfall and southward cross-equatorial energy flux at Sahel latitudes and net energy input over the North Atlantic. The enhanced NEI into the atmosphere in the North Atlantic arises from enhanced surface latent heat driven by the warmer SST, with feedbacks from the atmospheric circulation further modulating surface fluxes, particularly through wind adjustments accompanying the northward-shifted ITCZ.</p>
      <p id="d2e5538">The large-scale atmospheric response to the imposed North Atlantic SST anomalies results in coherent changes in the monsoonal circulation consistent with stronger Sahel rainfall. The SHL and the African Easterly Jet are displaced northward, the low-level southwesterly monsoonal flow is enhanced over the Sahel, and both the low-level wind convergence and the upper-level divergence in the region of main climatological ascent strengthen, indicating a stronger and northward displaced deep convection zone. In agreement with <xref ref-type="bibr" rid="bib1.bibx83" id="text.96"/>, the shallow meridional circulation over the Sahara and the mid-level dry-air advection into the Sahel are consistently weakened across models. In addition, the reduction in mid-level dry-air intrusion shows a strong positive intermodel correlation with Sahel rainfall increases.</p>
      <p id="d2e5545">The modelled equilibrium response of the WAM to AMV also suggests a strong feedback between moisture and circulation changes. The response of the AEJ and part of the northward shift of the SHL can be traced back to modifications in surface temperature, which are themselves related to the modified rainfall response through changes in soil moisture and local surface turbulent fluxes. Moreover, the thermodynamic component of the response, namely enhanced atmospheric moisture throughout the column, further suppresses dry-air intrusion and promotes deeper convection, sustaining the rainfall increase.</p>
      <p id="d2e5548">Finally, the energetic framework used in this study, linking the NEI into the atmosphere to the divergent component of the vertically integrated MSE flux, proves to be a powerful diagnostic tool for understanding in simple energetic terms the impact of AMV on Sahel rainfall. This framework may also help elucidate other extratropical sources of variability for Sahel rainfall, such as Arctic sea-ice loss and Southern Ocean warming <xref ref-type="bibr" rid="bib1.bibx61 bib1.bibx43 bib1.bibx16" id="paren.97"/>, whose effects are primarily expressed through meridional shifts of the energy transport. For other sources of Sahel decadal variability, such as the Pacific Decadal Variability <xref ref-type="bibr" rid="bib1.bibx58 bib1.bibx88 bib1.bibx17 bib1.bibx44" id="paren.98"/>, consideration of the zonal component of the vertical integral of MSE flux and associated shifts of the energy flux prime meridian <xref ref-type="bibr" rid="bib1.bibx10" id="paren.99"/> could provide additional insights.</p>
</sec>

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

      <p id="d2e5564">Data used in this work are publicly available. Model simulations can be downloaded from the Earth System Grid Federation CMIP6 archive (<uri>https://esgf-ui.ceda.ac.uk/search</uri>, last access: 22 January 2026). The original data has been processed with Climate Data Operators (cdo) at <ext-link xlink:href="https://doi.org/10.5281/zenodo.10020800" ext-link-type="DOI">10.5281/zenodo.10020800</ext-link> <xref ref-type="bibr" rid="bib1.bibx81" id="paren.100"/>. The scripts used in this study are available upon reasonable request to the corresponding author.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e5576">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/wcd-7-1619-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/wcd-7-1619-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5585">EM provided the first design of the article, which was subsequently discussed with P-AM, JM, and SB. EM did the formal analysis and wrote the original draft. All authors reviewed and edited the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5591">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="d2e5597">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="d2e5603">Authors acknowledge the use of JASMIN facilities for the PRIMAVERA data as part of the IS-ENES3 project that has received funding from the European Union’s Horizon 2020 research and innovation program (grant-no.: 824084). We acknowledge the World Climate Research Programme, which, through its Working Group on Coupled Modelling, coordinated and promoted CMIP6. We thank the climate modelling groups for producing and making available their model output, the Earth System Grid Federation (ESGF) for archiving the data and providing access, and the multiple funding agencies that support CMIP6 and ESGF. This project was provided with computing HPC and storage resources by GENCI at TGCC thanks to the grant 2024-A0170107403 on the supercomputer Joliot Curie’s SKL and ROME partition.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5608">This research has been supported by the Ministerio de Ciencia e Innovación (grant nos. PID2025-168561NB-I00, PID2021-125806NB-I00 and TED2021-130106B-I00), the Universidad Complutense de Madrid (grant no. Recualificación del Sistema Universitario Español para 2021–2023), the European Commission, EU Horizon 2020 Framework Programme (grant nos. 101003470 and 824084), and the Wellcome Trust (grant no. 308964/Z/23/Z).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5614">This paper was edited by Yen-Ting Hwang and reviewed by three anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Adam et al.(2016a)Adam, Bischoff, and Schneider</label><mixed-citation>Adam, O., Bischoff, T., and Schneider, T.: Seasonal and Interannual Variations of the Energy Flux Equator and ITCZ. Part I: Zonally Averaged ITCZ Position, J. Climate, 29, 3219–3230, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-15-0512.1" ext-link-type="DOI">10.1175/JCLI-D-15-0512.1</ext-link>, 2016a.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Adam et al.(2016b)Adam, Bischoff, and Schneider</label><mixed-citation>Adam, O., Bischoff, T., and Schneider, T.: Seasonal and Interannual Variations of the Energy Flux Equator and ITCZ. Part II: Zonally Varying Shifts of the ITCZ, J. Climate, 29, 7281–7293, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-15-0710.1" ext-link-type="DOI">10.1175/JCLI-D-15-0710.1</ext-link>, 2016b.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Adam et al.(2019)Adam, Schneider, Enzel, and Quade</label><mixed-citation>Adam, O., Schneider, T., Enzel, Y., and Quade, J.: Both differential and equatorial heating contributed to African monsoon variations during the mid-Holocene, Earth Planet. Sc. Lett., 522, 20–29, <ext-link xlink:href="https://doi.org/10.1016/j.epsl.2019.06.019" ext-link-type="DOI">10.1016/j.epsl.2019.06.019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Badji et al.(2022)Badji, Mohino, Diakhaté, Mignot, and Gaye</label><mixed-citation>Badji, A., Mohino, E., Diakhaté, M., Mignot, J., and Gaye, A. T.: Decadal Variability of Rainfall in Senegal: Beyond the Total Seasonal Amount, J. Climate, 35, 5339–5358, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-21-0699.1" ext-link-type="DOI">10.1175/JCLI-D-21-0699.1</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Balkanski et al.(2021)Balkanski, Bonnet, Boucher, Checa-Garcia, and Servonnat</label><mixed-citation>Balkanski, Y., Bonnet, R., Boucher, O., Checa-Garcia, R., and Servonnat, J.: Better representation of dust can improve climate models with too weak an African monsoon, Atmos. Chem. Phys., 21, 11423–11435, <ext-link xlink:href="https://doi.org/10.5194/acp-21-11423-2021" ext-link-type="DOI">10.5194/acp-21-11423-2021</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Berntell et al.(2018)Berntell, Zhang, Chafik, and Körnich</label><mixed-citation>Berntell, E., Zhang, Q., Chafik, L., and Körnich, H.: Representation of multidecadal Sahel rainfall variability in 20th century reanalyses, Sci. Rep.-UK, 8, 10937, <ext-link xlink:href="https://doi.org/10.1038/s41598-018-29217-9" ext-link-type="DOI">10.1038/s41598-018-29217-9</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Biasutti et al.(2018)Biasutti, Voigt, Boos, Braconnot, Hargreaves, Harrison, Kang, Mapes, Scheff, and Schumacher</label><mixed-citation>Biasutti, M., Voigt, A., Boos, W. R., Braconnot, P., Hargreaves, J. C., Harrison, S. P., Kang, S. M., Mapes, B. E., Scheff, J., and Schumacher, C.: Global energetics and local physics as drivers of past, present and future monsoons, Nat. Geosci., 11, 392–400, <ext-link xlink:href="https://doi.org/10.1038/s41561-018-0137-1" ext-link-type="DOI">10.1038/s41561-018-0137-1</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Bischoff and Schneider(2014)</label><mixed-citation>Bischoff, T. and Schneider, T.: Energetic constraints on the position of the intertropical convergence zone, J. Climate, 27, 4937–4951, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-13-00650.1" ext-link-type="DOI">10.1175/JCLI-D-13-00650.1</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Boer et al.(2016)Boer, Smith, Cassou, Doblas-Reyes, Danabasoglu, Kirtman, Kushnir, Kimoto, Meehl, Msadek, Mueller, Taylor, Zwiers, Rixen, Ruprich-Robert, and Eade</label><mixed-citation>Boer, G. J., Smith, D. M., Cassou, C., Doblas-Reyes, F., Danabasoglu, G., Kirtman, B., Kushnir, Y., Kimoto, M., Meehl, G. A., Msadek, R., Mueller, W. A., Taylor, K. E., Zwiers, F., Rixen, M., Ruprich-Robert, Y., and Eade, R.: The Decadal Climate Prediction Project (DCPP) contribution to CMIP6, Geosci. Model Dev., 9, 3751–3777, <ext-link xlink:href="https://doi.org/10.5194/gmd-9-3751-2016" ext-link-type="DOI">10.5194/gmd-9-3751-2016</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>Boos and Korty(2016)</label><mixed-citation>Boos, W. R. and Korty, R. L.: Regional energy budget control of the intertropical convergence zone and application to mid-Holocene rainfall, Nat. Geosci., 9, 892–897, <ext-link xlink:href="https://doi.org/10.1038/ngeo2833" ext-link-type="DOI">10.1038/ngeo2833</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Boucher et al.(2020)Boucher, Servonnat, Albright, Aumont, Balkanski, Bastrikov, Bekki, Bonnet, Bony, Bopp, Braconnot, Brockmann, Cadule, Caubel, Cheruy, Codron, Cozic, Cugnet, D'Andrea, Davini, de Lavergne, Denvil, Deshayes, Devilliers, Ducharne, Dufresne, Dupont, Ethe, Fairhead, Falletti, Flavoni, Foujols, Gardoll, Gastineau, Ghattas, Grandpeix, Guenet, Guez, Guilyardi, Guimberteau, Hauglustaine, Hourdin, Idelkadi, Joussaume, Kageyama, Khodri, Krinner, Lebas, Levavasseur, Levy, Li, Lott, Lurton, Luyssaert, Madec, Madeleine, Maignan, Marchand, Marti, Mellul, Meurdesoif, Mignot, Musat, Ottle, Peylin, Planton, Polcher, Rio, Rochetin, Rousset, Sepulchre, Sima, Swingedouw, Thieblemont, Traore, Vancoppenolle, Vial, Vialard, Viovy, and Vuichard</label><mixed-citation>Boucher, O., Servonnat, J., Albright, A. L., Aumont, O., Balkanski, Y., Bastrikov, V., Bekki, S., Bonnet, R., Bony, S., Bopp, L., Braconnot, P., Brockmann, P., Cadule, P., Caubel, A., Cheruy, F., Codron, F., Cozic, A., Cugnet, D., D'Andrea, F., Davini, P., de Lavergne, C., Denvil, S., Deshayes, J., Devilliers, M., Ducharne, A., Dufresne, J.-L., Dupont, E., Ethe, C., Fairhead, L., Falletti, L., Flavoni, S., Foujols, M.-A., Gardoll, S., Gastineau, G., Ghattas, J., Grandpeix, J.-Y., Guenet, B., Guez, L. E., Guilyardi, E., Guimberteau, M., Hauglustaine, D., Hourdin, F., Idelkadi, A., Joussaume, S., Kageyama, M., Khodri, M., Krinner, G., Lebas, N., Levavasseur, G., Levy, C., Li, L., Lott, F., Lurton, T., Luyssaert, S., Madec, G., Madeleine, J.-B., Maignan, F., Marchand, M., Marti, O., Mellul, L., Meurdesoif, Y., Mignot, J., Musat, I., Ottle, C., Peylin, P., Planton, Y., Polcher, J., Rio, C., Rochetin, N., Rousset, C., Sepulchre, P., Sima, A., Swingedouw, D., Thieblemont, R., Traore, A. K., Vancoppenolle, M., Vial, J., Vialard, J., Viovy, N., and Vuichard, N.: Presentation and Evaluation of the IPSL-CM6A-LR Climate Model, J. Adv. Model. Earth Sy., 12, e2019MS002010, <ext-link xlink:href="https://doi.org/10.1029/2019MS002010" ext-link-type="DOI">10.1029/2019MS002010</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Cai et al.(2025)Cai, Reason, Mohino, Rodríguez-Fonseca, Malherbe, Santoso, Li, Chikoore, Nnamchi, McPhaden, Keenlyside, Taschetto, Wu, Ng, Liu, Geng, Yang, Wang, Jia, Lin, Li, Yang, Wang, Zhang, Li, Wilfried, Zhou, Zhang, Engelbrecht, Li, and Mutemi</label><mixed-citation>Cai, W., Reason, C., Mohino, E., Rodríguez-Fonseca, B., Malherbe, J., Santoso, A., Li, X., Chikoore, H., Nnamchi, H., McPhaden, M. J., Keenlyside, N., Taschetto, A. S., Wu, L., Ng, B., Liu, Y., Geng, T., Yang, K., Wang, G., Jia, F., Lin, X., Li, S., Yang, Y., Wang, J., Zhang, L., Li, Z., Wilfried, P., Zhou, L., Zhang, X., Engelbrecht, F., Li, Z., and Mutemi, J. N.: Climate impacts of the El Niño–Southern Oscillation in Africa, Nature Reviews Earth and Environment, 6, 503–520, <ext-link xlink:href="https://doi.org/10.1038/s43017-025-00705-7" ext-link-type="DOI">10.1038/s43017-025-00705-7</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Chagnaud et al.(2022)Chagnaud, Panthou, Vischel, and Lebel</label><mixed-citation>Chagnaud, G., Panthou, G., Vischel, T., and Lebel, T.: A synthetic view of rainfall intensification in the West African Sahel, Environ. Res. Lett., 17, 044005, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/ac4a9c" ext-link-type="DOI">10.1088/1748-9326/ac4a9c</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Cook(1999)</label><mixed-citation>Cook, K. H.: Generation of the African easterly jet and its role in determining West African precipitation, J. Climate, 12, 1165–1184, <ext-link xlink:href="https://doi.org/10.1175/1520-0442(1999)012&lt;1165:GOTAEJ&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0442(1999)012&lt;1165:GOTAEJ&gt;2.0.CO;2</ext-link>, 1999.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Dai et al.(2004)Dai, Lamb, Trenberth, Hulme, Jones, and Xie</label><mixed-citation> Dai, A., Lamb, P. J., Trenberth, K. E., Hulme, M., Jones, P. D., and Xie, P.: The recent Sahel drought is real, Int. J. Climatol., 24, 1323–1331, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Datti et al.(2025)Datti, Zeng, Monerie, Oo, and Chen</label><mixed-citation>Datti, A. D., Zeng, G., Monerie, P.-A., Oo, K. T., and Chen, C.: A Review of the arctic-West African monsoon nexus: How arctic sea ice decline influences monsoon system, Theor. Appl. Climatol., 156, 9, <ext-link xlink:href="https://doi.org/10.1007/s00704-024-05255-4" ext-link-type="DOI">10.1007/s00704-024-05255-4</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Dong and Dai(2015)</label><mixed-citation>Dong, B. and Dai, A.: The influence of the Interdecadal Pacific Oscillation on Temperature and Precipitation over the Globe, Clim. Dynam., 45, 2667–2681, <ext-link xlink:href="https://doi.org/10.1007/s00382-015-2500-x" ext-link-type="DOI">10.1007/s00382-015-2500-x</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Dong and Sutton(2015)</label><mixed-citation>Dong, B. and Sutton, R.: Dominant role of greenhouse-gas forcing in the recovery of Sahel rainfall, Nat. Clim. Change, 5, 757–U173, <ext-link xlink:href="https://doi.org/10.1038/NCLIMATE2664" ext-link-type="DOI">10.1038/NCLIMATE2664</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Dong et al.(2014)Dong, Sutton, Highwood, and Wilcox</label><mixed-citation>Dong, B., Sutton, R. T., Highwood, E., and Wilcox, L.: The impacts of European and Asian anthropogenic sulfur dioxide emissions on Sahel rainfall, J. Climate, 27, 7000–7017, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-13-00769.1" ext-link-type="DOI">10.1175/JCLI-D-13-00769.1</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Donohoe et al.(2013)Donohoe, Marshall, Ferreira, and Mcgee</label><mixed-citation>Donohoe, A., Marshall, J., Ferreira, D., and Mcgee, D.: The relationship between ITCZ location and cross-equatorial atmospheric heat transport: From the seasonal cycle to the Last Glacial Maximum, J. Climate, 26, 3597–3618, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-12-00467.1" ext-link-type="DOI">10.1175/JCLI-D-12-00467.1</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Donohoe et al.(2014)Donohoe, Marshall, Ferreira, Armour, and McGee</label><mixed-citation>Donohoe, A., Marshall, J., Ferreira, D., Armour, K., and McGee, D.: The Interannual Variability of Tropical Precipitation and Interhemispheric Energy Transport, J. Climate, 27, 3377–3392, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-13-00499.1" ext-link-type="DOI">10.1175/JCLI-D-13-00499.1</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Döscher et al.(2022)Döscher, Acosta, Alessandri, Anthoni, Arsouze, Bergman, Bernardello, Boussetta, Caron, Carver, Castrillo, Catalano, Cvijanovic, Davini, Dekker, Doblas-Reyes, Docquier, Echevarria, Fladrich, Fuentes-Franco, Gröger, v. Hardenberg, Hieronymus, Karami, Keskinen, Koenigk, Makkonen, Massonnet, Ménégoz, Miller, Moreno-Chamarro, Nieradzik, van Noije, Nolan, O'Donnell, Ollinaho, van den Oord, Ortega, Prims, Ramos, Reerink, Rousset, Ruprich-Robert, Le Sager, Schmith, Schrödner, Serva, Sicardi, Sloth Madsen, Smith, Tian, Tourigny, Uotila, Vancoppenolle, Wang, Wårlind, Willén, Wyser, Yang, Yepes-Arbós, and Zhang</label><mixed-citation>Döscher, R., Acosta, M., Alessandri, A., Anthoni, P., Arsouze, T., Bergman, T., Bernardello, R., Boussetta, S., Caron, L.-P., Carver, G., Castrillo, M., Catalano, F., Cvijanovic, I., Davini, P., Dekker, E., Doblas-Reyes, F. J., Docquier, D., Echevarria, P., Fladrich, U., Fuentes-Franco, R., Gröger, M., v. Hardenberg, J., Hieronymus, J., Karami, M. P., Keskinen, J.-P., Koenigk, T., Makkonen, R., Massonnet, F., Ménégoz, M., Miller, P. A., Moreno-Chamarro, E., Nieradzik, L., van Noije, T., Nolan, P., O'Donnell, D., Ollinaho, P., van den Oord, G., Ortega, P., Prims, O. T., Ramos, A., Reerink, T., Rousset, C., Ruprich-Robert, Y., Le Sager, P., Schmith, T., Schrödner, R., Serva, F., Sicardi, V., Sloth Madsen, M., Smith, B., Tian, T., Tourigny, E., Uotila, P., Vancoppenolle, M., Wang, S., Wårlind, D., Willén, U., Wyser, K., Yang, S., Yepes-Arbós, X., and Zhang, Q.: The EC-Earth3 Earth system model for the Coupled Model Intercomparison Project 6, Geosci. Model Dev., 15, 2973–3020, <ext-link xlink:href="https://doi.org/10.5194/gmd-15-2973-2022" ext-link-type="DOI">10.5194/gmd-15-2973-2022</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Folland et al.(1986)Folland, Palmer, and Parker</label><mixed-citation>Folland, C., Palmer, T., and Parker, D.: Sahel Rainfall and Worldwide Sea Temperatures, 1901-85, Nature, 320, 602–607, <ext-link xlink:href="https://doi.org/10.1038/320602a0" ext-link-type="DOI">10.1038/320602a0</ext-link>, 1986.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Ganguly et al.(2024)Ganguly, Gonzalez, and Karnauskas</label><mixed-citation>Ganguly, I., Gonzalez, A. O., and Karnauskas, K. B.: On the role of wind–evaporation–SST feedbacks in the subseasonal variability of the East Pacific ITCZ, J. Climate, 37, 129–143, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-22-0849.1" ext-link-type="DOI">10.1175/JCLI-D-22-0849.1</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Giannini and Kaplan(2019)</label><mixed-citation>Giannini, A. and Kaplan, A.: The role of aerosols and greenhouse gases in Sahel drought and recovery, Climatic Change, 152, 449–466, <ext-link xlink:href="https://doi.org/10.1007/s10584-018-2341-9" ext-link-type="DOI">10.1007/s10584-018-2341-9</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Guo et al.(2024)Guo, Xie, Myhre, Shindell, Kirkevåg, Iversen, Samset, Shi, Li, Sun, Liu, and Liu</label><mixed-citation>Guo, J., Xie, X., Myhre, G., Shindell, D., Kirkevåg, A., Iversen, T., Samset, B. H., Shi, Z., Li, X., Sun, H., Liu, X., and Liu, Y.: Increased Asian Sulfate Aerosol Emissions Remarkably Enhance Sahel Summer Precipitation, Earths Future, 12, e2024EF004745, <ext-link xlink:href="https://doi.org/10.1029/2024EF004745" ext-link-type="DOI">10.1029/2024EF004745</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Gutjahr et al.(2019)Gutjahr, Putrasahan, Lohmann, Jungclaus, von Storch, Brüggemann, Haak, and Stössel</label><mixed-citation>Gutjahr, O., Putrasahan, D., Lohmann, K., Jungclaus, J. H., von Storch, J.-S., Brüggemann, N., Haak, H., and Stössel, A.: Max Planck Institute Earth System Model (MPI-ESM1.2) for the High-Resolution Model Intercomparison Project (HighResMIP), Geosci. Model Dev., 12, 3241–3281, <ext-link xlink:href="https://doi.org/10.5194/gmd-12-3241-2019" ext-link-type="DOI">10.5194/gmd-12-3241-2019</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Haarsma et al.(2020)Haarsma, Acosta, Bakhshi, Bretonniere, Caron, Castrillo, Corti, Davini, Exarchou, Fabiano, Fladrich, Franco, Garcia-Serrano, von Hardenberg, Koenigk, Levine, Meccia, van Noije, van den Oord, Palmeiro, Rodrigo, Ruprich-Robert, Le Sager, Tourigny, Wang, van Weele, and Wyser</label><mixed-citation>Haarsma, R., Acosta, M., Bakhshi, R., Bretonnière, P.-A., Caron, L.-P., Castrillo, M., Corti, S., Davini, P., Exarchou, E., Fabiano, F., Fladrich, U., Fuentes Franco, R., García-Serrano, J., von Hardenberg, J., Koenigk, T., Levine, X., Meccia, V. L., van Noije, T., van den Oord, G., Palmeiro, F. M., Rodrigo, M., Ruprich-Robert, Y., Le Sager, P., Tourigny, E., Wang, S., van Weele, M., and Wyser, K.: HighResMIP versions of EC-Earth: EC-Earth3P and EC-Earth3P-HR – description, model computational performance and basic validation, Geosci. Model Dev., 13, 3507–3527, <ext-link xlink:href="https://doi.org/10.5194/gmd-13-3507-2020" ext-link-type="DOI">10.5194/gmd-13-3507-2020</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Hartmann(2016)</label><mixed-citation>Hartmann, D. L.: Global physical climatology, 2nd edn., Elsevier, Amsterdam, Netherlands, <ext-link xlink:href="https://doi.org/10.1016/C2009-0-00030-0" ext-link-type="DOI">10.1016/C2009-0-00030-0</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Haywood et al.(2013)Haywood, Jones, Bellouin, and Stephenson</label><mixed-citation>Haywood, J. M., Jones, A., Bellouin, N., and Stephenson, D.: Asymmetric forcing from stratospheric aerosols impacts Sahelian rainfall, Nat. Clim. Change, 3, 660–665, <ext-link xlink:href="https://doi.org/10.1038/nclimate1857" ext-link-type="DOI">10.1038/nclimate1857</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>He et al.(2023)He, Clement, Kramer, Cane, Klavans, Fenske, and Murphy</label><mixed-citation>He, C., Clement, A. C., Kramer, S. M., Cane, M. A., Klavans, J. M., Fenske, T. M., and Murphy, L. N.: Tropical Atlantic multidecadal variability is dominated by external forcing, Nature, 622, 521–527, <ext-link xlink:href="https://doi.org/10.1038/s41586-023-06489-4" ext-link-type="DOI">10.1038/s41586-023-06489-4</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Herman et al.(2023)Herman, Biasutti, and Kushnir</label><mixed-citation>Herman, R. J., Biasutti, M., and Kushnir, Y.: Drivers of low-frequency Sahel precipitation variability: comparing CMIP5 and CMIP6 ensemble means with observations, Clim. Dynam., 61, 4449–4470, <ext-link xlink:href="https://doi.org/10.1007/s00382-023-06755-1" ext-link-type="DOI">10.1007/s00382-023-06755-1</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Hersbach et al.(2020)Hersbach, Bell, Berrisford, Hirahara, Horányi, Muñoz-Sabater, Nicolas, Peubey, Radu, Schepers, Simmons, Soci, Abdalla, Abellan, Balsamo, Bechtold, Biavati, Bidlot, Bonavita, De Chiara, Dahlgren, Dee, Diamantakis, Dragani, Flemming, Forbes, Fuentes, Geer, Haimberger, Healy, Hogan, Hólm, Janisková, Keeley, Laloyaux, Lopez, Lupu, Radnoti, de Rosnay, Rozum, Vamborg, Villaume, and Thépaut</label><mixed-citation>Hersbach, H., Bell, B., Berrisford, P., Hirahara, S., Horányi, A., Muñoz-Sabater, J., Nicolas, J., Peubey, C., Radu, R., Schepers, D., Simmons, A., Soci, C., Abdalla, S., Abellan, X., Balsamo, G., Bechtold, P., Biavati, G., Bidlot, J., Bonavita, M., De Chiara, G., Dahlgren, P., Dee, D., Diamantakis, M., Dragani, R., Flemming, J., Forbes, R., Fuentes, M., Geer, A., Haimberger, L., Healy, S., Hogan, R. J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C., Radnoti, G., de Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J.-N.: The ERA5 global reanalysis, Q. J. Roy. Meteor. Soc., 146, 1999–2049, <ext-link xlink:href="https://doi.org/10.1002/qj.3803" ext-link-type="DOI">10.1002/qj.3803</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Hill et al.(2017)Hill, Ming, Held, and Zhao</label><mixed-citation>Hill, S. A., Ming, Y., Held, I. M., and Zhao, M.: A Moist Static Energy Budget-Based Analysis of the Sahel Rainfall Response to Uniform Oceanic Warming, J. Climate, 30, 5637–5660, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-16-0785.1" ext-link-type="DOI">10.1175/JCLI-D-16-0785.1</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Hill et al.(2018)Hill, Ming, and Zhao</label><mixed-citation>Hill, S. A., Ming, Y., and Zhao, M.: Robust responses of the Sahelian hydrological cycle to global warming, J. Climate, 31, 9793–9814, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-18-0238.1" ext-link-type="DOI">10.1175/JCLI-D-18-0238.1</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Hirasawa et al.(2020)Hirasawa, Kushner, Sigmond, Fyfe, and Deser</label><mixed-citation>Hirasawa, H., Kushner, P. J., Sigmond, M., Fyfe, J., and Deser, C.: Anthropogenic Aerosols Dominate Forced Multidecadal Sahel Precipitation Change through Distinct Atmospheric and Oceanic Drivers, J. Climate, 33, 10187–10204, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-19-0829.1" ext-link-type="DOI">10.1175/JCLI-D-19-0829.1</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Hirasawa et al.(2022)Hirasawa, Kushner, Sigmond, Fyfe, and Deser</label><mixed-citation>Hirasawa, H., Kushner, P. J., Sigmond, M., Fyfe, J., and Deser, C.: Evolving Sahel rainfall response to anthropogenic aerosols driven by shifting regional oceanic and emission influences, J. Climate, 35, 3181–3193, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-21-0795.1" ext-link-type="DOI">10.1175/JCLI-D-21-0795.1</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>Hirons et al.(2015)Hirons, Klingaman, and Woolnough</label><mixed-citation>Hirons, L. C., Klingaman, N. P., and Woolnough, S. J.: MetUM-GOML1: a near-globally coupled atmosphere–ocean-mixed-layer model, Geosci. Model Dev., 8, 363–379, <ext-link xlink:href="https://doi.org/10.5194/gmd-8-363-2015" ext-link-type="DOI">10.5194/gmd-8-363-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Hodson et al.(2022)Hodson, Bretonniere, Cassou, Davini, Klingaman, Lohmann, Lopez-Parages, Martin-Rey, Moine, Monerie, Putrasahan, Roberts, Robson, Ruprich-Robert, Sanchez-Gomez, Seddon, and Senan</label><mixed-citation>Hodson, D. L. R., Bretonniere, P.-A., Cassou, C., Davini, P., Klingaman, N. P., Lohmann, K., Lopez-Parages, J., Martin-Rey, M., Moine, M.-P., Monerie, P.-A., Putrasahan, D. A., Roberts, C. D., Robson, J., Ruprich-Robert, Y., Sanchez-Gomez, E., Seddon, J., and Senan, R.: Coupled climate response to Atlantic Multidecadal Variability in a multi-model multi-resolution ensemble, Clim. Dynam., 59, 805–836, <ext-link xlink:href="https://doi.org/10.1007/s00382-022-06157-9" ext-link-type="DOI">10.1007/s00382-022-06157-9</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Hua et al.(2019)Hua, Dai, Zhou, Qin, and Chen</label><mixed-citation>Hua, W., Dai, A., Zhou, L., Qin, M., and Chen, H.: An Externally Forced Decadal Rainfall Seesaw Pattern Over the Sahel and Southeast Amazon, Geophys. Res. Lett., 46, 923–932, <ext-link xlink:href="https://doi.org/10.1029/2018GL081406" ext-link-type="DOI">10.1029/2018GL081406</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Huang et al.(2015)Huang, Banzon, Freeman, Lawrimore, Liu, Peterson, Smith, Thorne, Woodruff, and Zhang</label><mixed-citation>Huang, B., Banzon, V. F., Freeman, E., Lawrimore, J., Liu, W., Peterson, T. C., Smith, T. M., Thorne, P. W., Woodruff, S. D., and Zhang, H.-M.: Extended reconstructed sea surface temperature version 4 (ERSS T. v4). Part I: Upgrades and intercomparisons, J. Climate, 28, 911–930, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-14-00006.1" ext-link-type="DOI">10.1175/JCLI-D-14-00006.1</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx42"><label>Hwang et al.(2013)Hwang, Frierson, and Kang</label><mixed-citation>Hwang, Y., Frierson, D. M. W., and Kang, S. M.: Anthropogenic sulfate aerosol and the southward shift of tropical precipitation in the late 20th century, Geophys. Res. Lett., 40, 2845–2850, <ext-link xlink:href="https://doi.org/10.1002/grl.50502" ext-link-type="DOI">10.1002/grl.50502</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx43"><label>Jeong et al.(2025)Jeong, Park, Kang, and Chung</label><mixed-citation>Jeong, H., Park, H.-S., Kang, S. M., and Chung, E.-S.: The greater role of Southern Ocean warming compared to Arctic Ocean warming in shifting future tropical rainfall patterns, Nat. Commun., 16, 2790, <ext-link xlink:href="https://doi.org/10.1038/s41467-025-57654-4" ext-link-type="DOI">10.1038/s41467-025-57654-4</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>Joshi et al.(2022)Joshi, Rai, and Kulkarni</label><mixed-citation>Joshi, M. K., Rai, A., and Kulkarni, A.: Global-scale interdecadal variability a skillful predictor at decadal-to-multidecadal timescales for Sahelian and Indian Monsoon Rainfall, npj Climate and Atmospheric Science, 5, 2, <ext-link xlink:href="https://doi.org/10.1038/s41612-021-00227-1" ext-link-type="DOI">10.1038/s41612-021-00227-1</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx45"><label>Kang et al.(2008)Kang, Held, Frierson, and Zhao</label><mixed-citation>Kang, S. M., Held, I. M., Frierson, D. M., and Zhao, M.: The response of the ITCZ to extratropical thermal forcing: Idealized slab-ocean experiments with a GCM, J. Climate, 21, 3521–3532, <ext-link xlink:href="https://doi.org/10.1175/2007JCLI2146.1" ext-link-type="DOI">10.1175/2007JCLI2146.1</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx46"><label>Kang et al.(2009)Kang, Frierson, and Held</label><mixed-citation>Kang, S. M., Frierson, D. M., and Held, I. M.: The tropical response to extratropical thermal forcing in an idealized GCM: The importance of radiative feedbacks and convective parameterization, J. Atmos. Sci., 66, 2812–2827, <ext-link xlink:href="https://doi.org/10.1175/2009JAS2924.1" ext-link-type="DOI">10.1175/2009JAS2924.1</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx47"><label>Karnauskas(2022)</label><mixed-citation>Karnauskas, K. B.: A simple coupled model of the wind–evaporation–SST feedback with a role for stability, J. Climate, 35, 2149–2160, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-20-0895.1" ext-link-type="DOI">10.1175/JCLI-D-20-0895.1</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx48"><label>Kim et al.(2020)Kim, Yeager, and Danabasoglu</label><mixed-citation>Kim, W. M., Yeager, S., and Danabasoglu, G.: Atlantic multidecadal variability and associated climate impacts initiated by ocean thermohaline dynamics, J. Climate, 33, 1317–1334, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-19-0530.1" ext-link-type="DOI">10.1175/JCLI-D-19-0530.1</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx49"><label>Kitoh et al.(2020)</label><mixed-citation>Kitoh, A., Mohino, E., Ding, Y., Rajendran, K., Ambrizzi, T., Marengo, J., and Magaña, V.: Combined oceanic influences on continental climates, in: Interacting climates of ocean basins: observations, mechanisms, predictability, and impacts, vol. 1, 1st edn., Cambridge University Press, New York, USA, 216–249, <ext-link xlink:href="https://doi.org/10.1017/9781108610995" ext-link-type="DOI">10.1017/9781108610995</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx50"><label>Knight et al.(2006)Knight, Folland, and Scaife</label><mixed-citation>Knight, J. R., Folland, C. K., and Scaife, A. A.: Climate impacts of the Atlantic Multidecadal Oscillation, Geophys. Res. Lett., 33, L17706, <ext-link xlink:href="https://doi.org/10.1029/2006GL026242" ext-link-type="DOI">10.1029/2006GL026242</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx51"><label>Lavaysse et al.(2010)Lavaysse, Flamant, and Janicot</label><mixed-citation>Lavaysse, C., Flamant, C., and Janicot, S.: Regional-scale convection patterns during strong and weak phases of the Saharan heat low, Atmos. Sci. Lett., 11, 255–264, <ext-link xlink:href="https://doi.org/10.1002/asl.284" ext-link-type="DOI">10.1002/asl.284</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bibx52"><label>Lebel and Ali(2009)</label><mixed-citation>Lebel, T. and Ali, A.: Recent trends in the Central and Western Sahel rainfall regime (1990–2007), J. Hydrol., 375, 52–64, <ext-link xlink:href="https://doi.org/10.1016/j.jhydrol.2008.11.030" ext-link-type="DOI">10.1016/j.jhydrol.2008.11.030</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx53"><label>Li et al.(2016)Li, Schmitt, Ummenhofer, and Karnauskas</label><mixed-citation>Li, L., Schmitt, R. W., Ummenhofer, C. C., and Karnauskas, K. B.: North Atlantic salinity as a predictor of Sahel rainfall, Sci.  Adv., 2, e1501588, <ext-link xlink:href="https://doi.org/10.1126/sciadv.1501588" ext-link-type="DOI">10.1126/sciadv.1501588</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx54"><label>Marshall et al.(2014)Marshall, Donohoe, Ferreira, and McGee</label><mixed-citation>Marshall, J., Donohoe, A., Ferreira, D., and McGee, D.: The ocean’s role in setting the mean position of the Inter-Tropical Convergence Zone, Clim. Dynam., 42, 1967–1979, <ext-link xlink:href="https://doi.org/10.1007/s00382-013-1767-z" ext-link-type="DOI">10.1007/s00382-013-1767-z</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx55"><label>Martin and Thorncroft(2014)</label><mixed-citation>Martin, E. R. and Thorncroft, C. D.: The impact of the AMO on the West African monsoon annual cycle, Q. J. Roy. Meteor. Soc., 140, 31–46, <ext-link xlink:href="https://doi.org/10.1002/qj.2107" ext-link-type="DOI">10.1002/qj.2107</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx56"><label>Martin et al.(2014)Martin, Thorncroft, and Booth</label><mixed-citation>Martin, E. R., Thorncroft, C., and Booth, B. B. B.: The Multidecadal Atlantic SST-Sahel Rainfall Teleconnection in CMIP5 Simulations, J. Climate, 27, 784–806, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-13-00242.1" ext-link-type="DOI">10.1175/JCLI-D-13-00242.1</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx57"><label>Mayer et al.(2021)Mayer, Mayer, and Haimberger</label><mixed-citation>Mayer, J., Mayer, M., and Haimberger, L.: Mass-consistent atmospheric energy and moisture budget monthly data from 1979 to present derived from ERA5 reanalysis, Copernicus Climate Change Service (C3S) Climate Data Store (CDS), <ext-link xlink:href="https://doi.org/10.24381/cds.c2451f6b" ext-link-type="DOI">10.24381/cds.c2451f6b</ext-link>, last access: 3 March 2026, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx58"><label>Mohino et al.(2011)Mohino, Janicot, and Bader</label><mixed-citation>Mohino, E., Janicot, S., and Bader, J.: Sahel rainfall and decadal to multi-decadal sea surface temperature variability, Clim. Dynam., 37, 419–440, <ext-link xlink:href="https://doi.org/10.1007/s00382-010-0867-2" ext-link-type="DOI">10.1007/s00382-010-0867-2</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx59"><label>Mohino et al.(2024)Mohino, Monerie, Mignot, Diakhaté, Donat, Roberts, and Doblas-Reyes</label><mixed-citation>Mohino, E., Monerie, P.-A., Mignot, J., Diakhaté, M., Donat, M., Roberts, C. D., and Doblas-Reyes, F.: Impact of Atlantic multidecadal variability on rainfall intensity distribution and timing of the West African monsoon, Earth Syst. Dynam., 15, 15–40, <ext-link xlink:href="https://doi.org/10.5194/esd-15-15-2024" ext-link-type="DOI">10.5194/esd-15-15-2024</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx60"><label>Monerie et al.(2023)Monerie, Dittus, Wilcox, and Turner</label><mixed-citation>Monerie, P., Dittus, A. J., Wilcox, L. J., and Turner, A. G.: Uncertainty in Simulating Twentieth Century West African Precipitation Trends: The Role of Anthropogenic Aerosol Emissions, Earths Future, 11, e2022EF002995, <ext-link xlink:href="https://doi.org/10.1029/2022EF002995" ext-link-type="DOI">10.1029/2022EF002995</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx61"><label>Monerie et al.(2019a)Monerie, Oudar, and Sanchez-Gomez</label><mixed-citation>Monerie, P.-A., Oudar, T., and Sanchez-Gomez, E.: Respective impacts of Arctic sea ice decline and increasing greenhouse gases concentration on Sahel precipitation, Clim. Dynam., 52, 5947–5964, <ext-link xlink:href="https://doi.org/10.1007/s00382-018-4488-5" ext-link-type="DOI">10.1007/s00382-018-4488-5</ext-link>, 2019a.</mixed-citation></ref>
      <ref id="bib1.bibx62"><label>Monerie et al.(2019b)Monerie, Robson, Dong, Hodson, and Klingaman</label><mixed-citation>Monerie, P.-A., Robson, J., Dong, B., Hodson, D. L. R., and Klingaman, N. P.: Effect of the Atlantic Multidecadal Variability on the Global Monsoon, Geophys. Res. Lett., 46, 1765–1775, <ext-link xlink:href="https://doi.org/10.1029/2018GL080903" ext-link-type="DOI">10.1029/2018GL080903</ext-link>, 2019b.</mixed-citation></ref>
      <ref id="bib1.bibx63"><label>Monerie et al.(2021)Monerie, Robson, Dong, and Hodson</label><mixed-citation>Monerie, P.-A., Robson, J., Dong, B., and Hodson, D.: Role of the Atlantic multidecadal variability in modulating East Asian climate, Clim. Dynam., 56, 381–398, <ext-link xlink:href="https://doi.org/10.1007/s00382-020-05477-y" ext-link-type="DOI">10.1007/s00382-020-05477-y</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx64"><label>Monerie et al.(2025)Monerie, Mohino, Moine, Biasutti, Pohl, and Mignot</label><mixed-citation>Monerie, P.-A., Mohino, E., Moine, M.-P., Biasutti, M., Pohl, B., and Mignot, J.: Exploring uncertainty in dynamical future changes in Sahel precipitation: the extratropical influence, Clim. Dynam., 63, 1–21, <ext-link xlink:href="https://doi.org/10.1007/s00382-025-07835-0" ext-link-type="DOI">10.1007/s00382-025-07835-0</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bibx65"><label>Moreno-Chamarro et al.(2020)Moreno-Chamarro, Marshall, and Delworth</label><mixed-citation>Moreno-Chamarro, E., Marshall, J., and Delworth, T. L.: Linking ITCZ migrations to the AMOC and North Atlantic/Pacific SST decadal variability, J. Climate, 33, 893–905, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-19-0258.1" ext-link-type="DOI">10.1175/JCLI-D-19-0258.1</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bibx66"><label>Mutton et al.(2022)Mutton, Chadwick, Collins, Lambert, Geen, Todd, and Taylor</label><mixed-citation>Mutton, H., Chadwick, R., Collins, M., Lambert, F. H., Geen, R., Todd, A., and Taylor, C. M.: The impact of the direct radiative effect of increased <inline-formula><mml:math id="M223" 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> on the West African monsoon, J. Climate, 35, 2441–2458, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-21-0340.1" ext-link-type="DOI">10.1175/JCLI-D-21-0340.1</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx67"><label>Mutton et al.(2024)Mutton, Chadwick, Collins, Lambert, Taylor, Geen, and Todd</label><mixed-citation>Mutton, H., Chadwick, R., Collins, M., Lambert, F. H., Taylor, C. M., Geen, R., and Todd, A.: The impact of a uniform ocean warming on the West African monsoon, Clim. Dynam., 62, 103–122, <ext-link xlink:href="https://doi.org/10.1007/s00382-023-06898-1" ext-link-type="DOI">10.1007/s00382-023-06898-1</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx68"><label>Ndiaye et al.(2022)Ndiaye, Mohino, Mignot, and Sall</label><mixed-citation>Ndiaye, C. D., Mohino, E., Mignot, J., and Sall, S. M.: On the Detection of Externally Forced Decadal Modulations of the Sahel Rainfall over the Whole Twentieth Century in the CMIP6 Ensemble, J. Climate, 35, 3339–3354, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-21-0585.1" ext-link-type="DOI">10.1175/JCLI-D-21-0585.1</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx69"><label>Neelin and Held(1987)</label><mixed-citation>Neelin, J. D. and Held, I. M.: Modeling tropical convergence based on the moist static energy budget, Mon. Weather Rev., 115, 3–12, <ext-link xlink:href="https://doi.org/10.1175/1520-0493(1987)115&lt;0003:MTCBOT&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0493(1987)115&lt;0003:MTCBOT&gt;2.0.CO;2</ext-link>, 1987.</mixed-citation></ref>
      <ref id="bib1.bibx70"><label>Nicholson(2013)</label><mixed-citation>Nicholson, S. E.: The West African Sahel: A Review of Recent Studies on the Rainfall Regime and Its Interannual Variability, International Scholarly Research Notices, 2013, e453521, <ext-link xlink:href="https://doi.org/10.1155/2013/453521" ext-link-type="DOI">10.1155/2013/453521</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx71"><label>O’Reilly et al.(2017)O’Reilly, Woollings, and Zanna</label><mixed-citation>O’Reilly, C. H., Woollings, T., and Zanna, L.: The dynamical influence of the Atlantic multidecadal oscillation on continental climate, J. Climate, 30, 7213–7230, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-16-0345.1" ext-link-type="DOI">10.1175/JCLI-D-16-0345.1</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx72"><label>O’Reilly et al.(2023)O’Reilly, Patterson, Robson, Monerie, Hodson, and Ruprich-Robert</label><mixed-citation>O’Reilly, C. H., Patterson, M., Robson, J., Monerie, P. A., Hodson, D., and Ruprich-Robert, Y.: Challenges with interpreting the impact of Atlantic Multidecadal Variability using SST-restoring experiments, npj Climate and Atmospheric Science, 6, 14, <ext-link xlink:href="https://doi.org/10.1038/s41612-023-00335-0" ext-link-type="DOI">10.1038/s41612-023-00335-0</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx73"><label>Roberts et al.(2018)Roberts, Senan, Molteni, Boussetta, Mayer, and Keeley</label><mixed-citation>Roberts, C. D., Senan, R., Molteni, F., Boussetta, S., Mayer, M., and Keeley, S. P. E.: Climate model configurations of the ECMWF Integrated Forecasting System (ECMWF-IFS cycle 43r1) for HighResMIP, Geosci. Model Dev., 11, 3681–3712, <ext-link xlink:href="https://doi.org/10.5194/gmd-11-3681-2018" ext-link-type="DOI">10.5194/gmd-11-3681-2018</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx74"><label>Rodríguez-Fonseca et al.(2015)Rodríguez-Fonseca, Mohino, Mechoso, Caminade, Biasutti, Gaetani, García-Serrano, Vizy, Cook, and Xue</label><mixed-citation>Rodríguez-Fonseca, B., Mohino, E., Mechoso, C. R., Caminade, C., Biasutti, M., Gaetani, M., García-Serrano, J., Vizy, E. K., Cook, K., and Xue, Y.: Variability and predictability of West African droughts: a review on the role of sea surface temperature anomalies, J. Climate, 28, 4034–4060, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-14-00130.1" ext-link-type="DOI">10.1175/JCLI-D-14-00130.1</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx75"><label>Rotstayn and Lohmann(2002)</label><mixed-citation>Rotstayn, L. D. and Lohmann, U.: Tropical Rainfall Trends and the Indirect Aerosol Effect, J. Climate, <ext-link xlink:href="https://doi.org/10.1175/1520-0442(2002)015&lt;2103:TRTATI&gt;2.0.CO;2" ext-link-type="DOI">10.1175/1520-0442(2002)015&lt;2103:TRTATI&gt;2.0.CO;2</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx76"><label>Ruprich-Robert et al.(2018)Ruprich-Robert, Delworth, Msadek, Castruccio, Yeager, and Danabasoglu</label><mixed-citation>Ruprich-Robert, Y., Delworth, T., Msadek, R., Castruccio, F., Yeager, S., and Danabasoglu, G.: Impacts of the Atlantic Multidecadal Variability on North American Summer Climate and Heat Waves, J. Climate, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-17-0270.1" ext-link-type="DOI">10.1175/JCLI-D-17-0270.1</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx77"><label>Ruprich-Robert et al.(2021)Ruprich-Robert, Moreno-Chamarro, Levine, Bellucci, Cassou, Castruccio, Davini, Eade, Gastineau, Hermanson, Hodson, Lohmann, Lopez-Parages, Monerie, Nicolì, Qasmi, Roberts, Sanchez-Gomez, Danabasoglu, Dunstone, Martin-Rey, Msadek, Robson, Smith, and Tourigny</label><mixed-citation>Ruprich-Robert, Y., Moreno-Chamarro, E., Levine, X., Bellucci, A., Cassou, C., Castruccio, F., Davini, P., Eade, R., Gastineau, G., Hermanson, L., Hodson, D., Lohmann, K., Lopez-Parages, J., Monerie, P.-A., Nicolì, D., Qasmi, S., Roberts, C. D., Sanchez-Gomez, E., Danabasoglu, G., Dunstone, N., Martin-Rey, M., Msadek, R., Robson, J., Smith, D., and Tourigny, E.: Impacts of Atlantic multidecadal variability on the tropical Pacific: a multi-model study, npj Climate and Atmospheric Science, 4, 1–11, <ext-link xlink:href="https://doi.org/10.1038/s41612-021-00188-5" ext-link-type="DOI">10.1038/s41612-021-00188-5</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx78"><label>Sanderson et al.(2015)Sanderson, Knutti, and Caldwell</label><mixed-citation>Sanderson, B. M., Knutti, R., and Caldwell, P.: Addressing interdependency in a multimodel ensemble by interpolation of model properties, J. Climate, 28, 5150–5170, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-14-00361.1" ext-link-type="DOI">10.1175/JCLI-D-14-00361.1</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx79"><label>Sanogo et al.(2015)Sanogo, Fink, Omotosho, Ba, Redl, and Ermert</label><mixed-citation>Sanogo, S., Fink, A. H., Omotosho, J. A., Ba, A., Redl, R., and Ermert, V.: Spatio-temporal characteristics of the recent rainfall recovery in West Africa, Int. J. Climatol., 35, 4589–4605, <ext-link xlink:href="https://doi.org/10.1002/joc.4309" ext-link-type="DOI">10.1002/joc.4309</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx80"><label>Schneider et al.(2014)Schneider, Bischoff, and Haug</label><mixed-citation>Schneider, T., Bischoff, T., and Haug, G. H.: Migrations and dynamics of the intertropical convergence zone, Nature, 513, 45–53, <ext-link xlink:href="https://doi.org/10.1038/nature13636" ext-link-type="DOI">10.1038/nature13636</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bibx81"><label>Schulzweida(2023)</label><mixed-citation>Schulzweida, U.: CDO User Guide, Zenodo, <ext-link xlink:href="https://doi.org/10.5281/zenodo.10020800" ext-link-type="DOI">10.5281/zenodo.10020800</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bibx82"><label>Shekhar and Boos(2016)</label><mixed-citation>Shekhar, R. and Boos, W. R.: Improving Energy-Based Estimates of Monsoon Location in the Presence of Proximal Deserts, J. Climate, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-15-0747.1" ext-link-type="DOI">10.1175/JCLI-D-15-0747.1</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx83"><label>Shekhar and Boos(2017)</label><mixed-citation>Shekhar, R. and Boos, W. R.: Weakening and Shifting of the Saharan Shallow Meridional Circulation during Wet Years of the West African Monsoon, J. Climate, 30, 7399–7422, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-16-0696.1" ext-link-type="DOI">10.1175/JCLI-D-16-0696.1</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx84"><label>Taylor et al.(2017)Taylor, Belusic, Guichard, Arker, Vischel, Bock, Harris, Janicot, Klein, and Panthou</label><mixed-citation>Taylor, C. M., Belusic, D., Guichard, F., Arker, D. J. P., Vischel, T., Bock, O., Harris, P. P., Janicot, S., Klein, C., and Panthou, G.: Frequency of extreme Sahelian storms tripled since 1982 in satellite observations, Nature, 544, 475–478, <ext-link xlink:href="https://doi.org/10.1038/nature22069" ext-link-type="DOI">10.1038/nature22069</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bibx85"><label>Thorncroft et al.(2011)Thorncroft, Nguyen, Zhang, and Peyrille</label><mixed-citation>Thorncroft, C. D., Nguyen, H., Zhang, C., and Peyrille, P.: Annual cycle of the West African monsoon: regional circulations and associated water vapour transport, Q. J. Roy. Meteor. Soc., 137, 129–147, <ext-link xlink:href="https://doi.org/10.1002/qj.728" ext-link-type="DOI">10.1002/qj.728</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx86"><label>Ting et al.(2009)Ting, Kushnir, Seager, and Li</label><mixed-citation>Ting, M., Kushnir, Y., Seager, R., and Li, C.: Forced and internal twentieth-century SST trends in the North Atlantic, J. Climate, 22, 1469–1481, <ext-link xlink:href="https://doi.org/10.1175/2008JCLI2561.1" ext-link-type="DOI">10.1175/2008JCLI2561.1</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx87"><label>Ting et al.(2011)Ting, Kushnir, Seager, and Li</label><mixed-citation>Ting, M., Kushnir, Y., Seager, R., and Li, C.: Robust features of Atlantic multi-decadal variability and its climate impacts, Geophys. Res. Lett., 38, L17705, <ext-link xlink:href="https://doi.org/10.1029/2011GL048712" ext-link-type="DOI">10.1029/2011GL048712</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx88"><label>Villamayor and Mohino(2015)</label><mixed-citation>Villamayor, J. and Mohino, E.: Robust Sahel drought due to the Interdecadal Pacific Oscillation in CMIP5 simulations, Geophys. Res. Lett., 42, 1214–1222, <ext-link xlink:href="https://doi.org/10.1002/2014GL062473" ext-link-type="DOI">10.1002/2014GL062473</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx89"><label>Villamayor et al.(2018)Villamayor, Mohino, Khodri, Mignot, and Janicot</label><mixed-citation>Villamayor, J., Mohino, E., Khodri, M., Mignot, J., and Janicot, S.: Atlantic Control of the Late Nineteenth-Century Sahel Humid Period, J. Climate, 31, 8225–8240, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-18-0148.1" ext-link-type="DOI">10.1175/JCLI-D-18-0148.1</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx90"><label>Voldoire et al.(2019)Voldoire, Saint-Martin, Senesi, Decharme, Alias, Chevallier, Colin, Gueremy, Michou, Moine, Nabat, Roehrig, Salas y Melia, Seferian, Valcke, Beau, Belamari, Berthet, Cassou, Cattiaux, Deshayes, Douville, Ethe, Franchisteguy, Geoffroy, Levy, Madec, Meurdesoif, Msadek, Ribes, Sanchez-Gomez, Terray, and Waldman</label><mixed-citation>Voldoire, A., Saint-Martin, D., Senesi, S., Decharme, B., Alias, A., Chevallier, M., Colin, J., Gueremy, J.-F., Michou, M., Moine, M.-P., Nabat, P., Roehrig, R., Salas y Melia, D., Seferian, R., Valcke, S., Beau, I., Belamari, S., Berthet, S., Cassou, C., Cattiaux, J., Deshayes, J., Douville, H., Ethe, C., Franchisteguy, L., Geoffroy, O., Levy, C., Madec, G., Meurdesoif, Y., Msadek, R., Ribes, A., Sanchez-Gomez, E., Terray, L., and Waldman, R.: Evaluation of CMIP6 DECK Experiments With CNRM-CM6-1, J. Adv. Model. Earth Sy., 11, 2177–2213, <ext-link xlink:href="https://doi.org/10.1029/2019MS001683" ext-link-type="DOI">10.1029/2019MS001683</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx91"><label>Wang et al.(2012)Wang, Dong, Evan, Foltz, and Lee</label><mixed-citation>Wang, C., Dong, S., Evan, A. T., Foltz, G. R., and Lee, S.-K.: Multidecadal covariability of North Atlantic sea surface temperature, African dust, Sahel rainfall, and Atlantic hurricanes, J. Climate, 25, 5404–5415, <ext-link xlink:href="https://doi.org/10.1175/JCLI-D-11-00413.1" ext-link-type="DOI">10.1175/JCLI-D-11-00413.1</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bibx92"><label>Wang et al.(2004)Wang, Eltahir, Foley, Pollard, and Levis</label><mixed-citation>Wang, G., Eltahir, E. A. B., Foley, J. A., Pollard, D., and Levis, S.: Decadal variability of rainfall in the Sahel: results from the coupled GENESIS-IBIS atmosphere-biosphere model, Clim. Dynam., 22, 625–637, <ext-link xlink:href="https://doi.org/10.1007/s00382-004-0411-3" ext-link-type="DOI">10.1007/s00382-004-0411-3</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx93"><label>Watanabe and Tatebe(2019)</label><mixed-citation>Watanabe, M. and Tatebe, H.: Reconciling roles of sulphate aerosol forcing and internal variability in Atlantic multidecadal climate changes, Clim. Dynam., 53, 4651–4665, <ext-link xlink:href="https://doi.org/10.1007/s00382-019-04811-3" ext-link-type="DOI">10.1007/s00382-019-04811-3</ext-link>, 2019. </mixed-citation></ref>
      <ref id="bib1.bibx94"><label>Williams et al.(2018)Williams, Copsey, Blockley, Bodas-Salcedo, Calvert, Comer, Davis, Graham, Hewitt, Hill, Hyder, Ineson, Johns, Keen, Lee, Megann, Milton, Rae, Roberts, Scaife, Schiemann, Storkey, Thorpe, Watterson, Walters, West, Wood, Woollings, and Xavier</label><mixed-citation>Williams, K. D., Copsey, D., Blockley, E. W., Bodas-Salcedo, A., Calvert, D., Comer, R., Davis, P., Graham, T., Hewitt, H. T., Hill, R., Hyder, P., Ineson, S., Johns, T. C., Keen, A. B., Lee, R. W., Megann, A., Milton, S. F., Rae, J. G. L., Roberts, M. J., Scaife, A. A., Schiemann, R., Storkey, D., Thorpe, L., Watterson, I. G., Walters, D. N., West, A., Wood, R. A., Woollings, T., and Xavier, P. K.: The Met Office Global Coupled Model 3.0 and 3.1 (GC3.0 and GC3.1) Configurations, J. Adv. Model. Earth Sy., 10, 357–380, <ext-link xlink:href="https://doi.org/10.1002/2017MS001115" ext-link-type="DOI">10.1002/2017MS001115</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bibx95"><label>WMO(2024)</label><mixed-citation>WMO: Guide to Instruments and Methods of Observation. Volume I – Measurement of Meteorological Varibles, WMO-No. 8, WMO, Geneva, Switzerland, <uri>https://library.wmo.int/idurl/4/41650</uri>, 2024.</mixed-citation></ref>
      <ref id="bib1.bibx96"><label>Xue et al.(2022)Xue, Wang, Yu, Li, Sun, and Mao</label><mixed-citation>Xue, J., Wang, B., Yu, Y., Li, J., Sun, C., and Mao, J.: Multidecadal variation of northern hemisphere summer monsoon forced by the SST inter-hemispheric dipole, Environ. Res. Lett., 17, 044033, <ext-link xlink:href="https://doi.org/10.1088/1748-9326/ac5a65" ext-link-type="DOI">10.1088/1748-9326/ac5a65</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bibx97"><label>Zhang et al.(2021)Zhang, Liu, Sun, Li, Ding, Xie, Xie, Zhang, and Gong</label><mixed-citation>Zhang, J., Liu, Y., Sun, C., Li, J., Ding, R., Xie, F., Xie, T., Zhang, Y., and Gong, Z.: On the connection between AMOC and observed land precipitation in Northern Hemisphere: a comparison of the AMOC indicators, Clim. Dynam., 56, 651–664, <ext-link xlink:href="https://doi.org/10.1007/s00382-020-05496-9" ext-link-type="DOI">10.1007/s00382-020-05496-9</ext-link>, 2021.</mixed-citation></ref>
      <ref id="bib1.bibx98"><label>Zhang and Delworth(2006)</label><mixed-citation>Zhang, R. and Delworth, T. L.: Impact of Atlantic multidecadal oscillations on India/Sahel rainfall and Atlantic hurricanes, Geophys. Res. Lett., 33, L17712, <ext-link xlink:href="https://doi.org/10.1029/2006GL026267" ext-link-type="DOI">10.1029/2006GL026267</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx99"><label>Zhang et al.(2019)Zhang, Sutton, Danabasoglu, Kwon, Marsh, Yeager, Amrhein, and Little</label><mixed-citation>Zhang, R., Sutton, R., Danabasoglu, G., Kwon, Y.-O., Marsh, R., Yeager, S. G., Amrhein, D. E., and Little, C. M.: A Review of the Role of the Atlantic Meridional Overturning Circulation in Atlantic Multidecadal Variability and Associated Climate Impacts, Rev. Geophys., 57, 316–375, <ext-link xlink:href="https://doi.org/10.1029/2019RG000644" ext-link-type="DOI">10.1029/2019RG000644</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bibx100"><label>Zhang et al.(2022)Zhang, Stier, Dagan, and Wang</label><mixed-citation>Zhang, S., Stier, P., Dagan, G., and Wang, M.: Anthropogenic Aerosols Modulated 20th-Century Sahel Rainfall Variability Via Their Impacts on North Atlantic Sea Surface Temperature, Geophys. Res. Lett., 49, e2021GL095629, <ext-link xlink:href="https://doi.org/10.1029/2021GL095629" ext-link-type="DOI">10.1029/2021GL095629</ext-link>, 2022.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>An energetic perspective on the impact of the Atlantic Multidecadal Variability on the West African Monsoon</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>Adam et al.(2016a)Adam, Bischoff, and Schneider</label><mixed-citation>
       Adam, O., Bischoff, T., and
Schneider, T.: Seasonal and Interannual Variations of the Energy Flux Equator and ITCZ. Part I:
Zonally Averaged ITCZ Position, J. Climate, 29, 3219–3230, <a href="https://doi.org/10.1175/JCLI-D-15-0512.1" target="_blank">https://doi.org/10.1175/JCLI-D-15-0512.1</a>, 2016a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Adam et al.(2016b)Adam, Bischoff, and Schneider</label><mixed-citation>
       Adam, O., Bischoff, T., and
Schneider, T.: Seasonal and Interannual Variations of the Energy Flux Equator and ITCZ. Part II:
Zonally Varying Shifts of the ITCZ, J. Climate, 29, 7281–7293, <a href="https://doi.org/10.1175/JCLI-D-15-0710.1" target="_blank">https://doi.org/10.1175/JCLI-D-15-0710.1</a>, 2016b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Adam et al.(2019)Adam, Schneider, Enzel, and Quade</label><mixed-citation>
       Adam, O., Schneider, T., Enzel, Y., and
Quade, J.: Both differential and equatorial heating contributed to African monsoon variations during the mid-Holocene,
Earth Planet. Sc. Lett., 522, 20–29, <a href="https://doi.org/10.1016/j.epsl.2019.06.019" target="_blank">https://doi.org/10.1016/j.epsl.2019.06.019</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Badji et al.(2022)Badji, Mohino, Diakhaté, Mignot, and Gaye</label><mixed-citation>
       Badji, A., Mohino, E.,
Diakhaté, M., Mignot, J., and Gaye, A. T.: Decadal Variability of Rainfall in Senegal: Beyond the Total
Seasonal Amount, J. Climate, 35, 5339–5358, <a href="https://doi.org/10.1175/JCLI-D-21-0699.1" target="_blank">https://doi.org/10.1175/JCLI-D-21-0699.1</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Balkanski et al.(2021)Balkanski, Bonnet, Boucher, Checa-Garcia, and Servonnat</label><mixed-citation>
      
Balkanski, Y., Bonnet, R., Boucher, O., Checa-Garcia, R., and Servonnat, J.: Better representation of dust can improve
climate models with too weak an African monsoon, Atmos. Chem. Phys., 21, 11423–11435,
<a href="https://doi.org/10.5194/acp-21-11423-2021" target="_blank">https://doi.org/10.5194/acp-21-11423-2021</a>, 2021. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Berntell et al.(2018)Berntell, Zhang, Chafik, and Körnich</label><mixed-citation>
       Berntell, E.,
Zhang, Q., Chafik, L., and Körnich, H.: Representation of multidecadal Sahel rainfall variability in 20th century
reanalyses, Sci. Rep.-UK, 8, 10937, <a href="https://doi.org/10.1038/s41598-018-29217-9" target="_blank">https://doi.org/10.1038/s41598-018-29217-9</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Biasutti et al.(2018)Biasutti, Voigt, Boos, Braconnot, Hargreaves, Harrison, Kang, Mapes, Scheff, and
Schumacher</label><mixed-citation>
       Biasutti, M., Voigt, A., Boos, W. R., Braconnot, P., Hargreaves, J. C.,
Harrison, S. P., Kang, S. M., Mapes, B. E., Scheff, J., and Schumacher, C.: Global energetics and local physics as
drivers of past, present and future monsoons, Nat. Geosci., 11, 392–400, <a href="https://doi.org/10.1038/s41561-018-0137-1" target="_blank">https://doi.org/10.1038/s41561-018-0137-1</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Bischoff and Schneider(2014)</label><mixed-citation>
       Bischoff, T. and Schneider, T.: Energetic constraints
on the position of the intertropical convergence zone, J. Climate, 27, 4937–4951, <a href="https://doi.org/10.1175/JCLI-D-13-00650.1" target="_blank">https://doi.org/10.1175/JCLI-D-13-00650.1</a>,
2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Boer et al.(2016)Boer, Smith, Cassou, Doblas-Reyes, Danabasoglu, Kirtman, Kushnir, Kimoto, Meehl, Msadek,
Mueller, Taylor, Zwiers, Rixen, Ruprich-Robert, and Eade</label><mixed-citation>
       Boer, G. J., Smith, D. M., Cassou, C.,
Doblas-Reyes, F., Danabasoglu, G., Kirtman, B., Kushnir, Y., Kimoto, M., Meehl, G. A., Msadek, R., Mueller, W. A.,
Taylor, K. E., Zwiers, F., Rixen, M., Ruprich-Robert, Y., and Eade, R.: The Decadal Climate Prediction Project (DCPP)
contribution to CMIP6, Geosci. Model Dev., 9, 3751–3777, <a href="https://doi.org/10.5194/gmd-9-3751-2016" target="_blank">https://doi.org/10.5194/gmd-9-3751-2016</a>, 2016. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>Boos and Korty(2016)</label><mixed-citation>
       Boos, W. R. and Korty, R. L.: Regional energy budget control of the
intertropical convergence zone and application to mid-Holocene rainfall, Nat. Geosci., 9, 892–897,
<a href="https://doi.org/10.1038/ngeo2833" target="_blank">https://doi.org/10.1038/ngeo2833</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Boucher et al.(2020)Boucher, Servonnat, Albright, Aumont, Balkanski, Bastrikov, Bekki, Bonnet, Bony, Bopp,
Braconnot, Brockmann, Cadule, Caubel, Cheruy, Codron, Cozic, Cugnet, D'Andrea, Davini, de Lavergne, Denvil,
Deshayes, Devilliers, Ducharne, Dufresne, Dupont, Ethe, Fairhead, Falletti, Flavoni, Foujols, Gardoll, Gastineau,
Ghattas, Grandpeix, Guenet, Guez, Guilyardi, Guimberteau, Hauglustaine, Hourdin, Idelkadi, Joussaume, Kageyama,
Khodri, Krinner, Lebas, Levavasseur, Levy, Li, Lott, Lurton, Luyssaert, Madec, Madeleine, Maignan, Marchand, Marti,
Mellul, Meurdesoif, Mignot, Musat, Ottle, Peylin, Planton, Polcher, Rio, Rochetin, Rousset, Sepulchre, Sima,
Swingedouw, Thieblemont, Traore, Vancoppenolle, Vial, Vialard, Viovy, and Vuichard</label><mixed-citation>
      
Boucher, O., Servonnat, J., Albright, A. L., Aumont, O., Balkanski, Y., Bastrikov, V., Bekki, S., Bonnet, R.,
Bony, S., Bopp, L., Braconnot, P., Brockmann, P., Cadule, P., Caubel, A., Cheruy, F., Codron, F., Cozic, A.,
Cugnet, D., D'Andrea, F., Davini, P., de Lavergne, C., Denvil, S., Deshayes, J., Devilliers, M., Ducharne, A.,
Dufresne, J.-L., Dupont, E., Ethe, C., Fairhead, L., Falletti, L., Flavoni, S., Foujols, M.-A., Gardoll, S.,
Gastineau, G., Ghattas, J., Grandpeix, J.-Y., Guenet, B., Guez, L. E., Guilyardi, E., Guimberteau, M.,
Hauglustaine, D., Hourdin, F., Idelkadi, A., Joussaume, S., Kageyama, M., Khodri, M., Krinner, G., Lebas, N.,
Levavasseur, G., Levy, C., Li, L., Lott, F., Lurton, T., Luyssaert, S., Madec, G., Madeleine, J.-B., Maignan, F.,
Marchand, M., Marti, O., Mellul, L., Meurdesoif, Y., Mignot, J., Musat, I., Ottle, C., Peylin, P., Planton, Y.,
Polcher, J., Rio, C., Rochetin, N., Rousset, C., Sepulchre, P., Sima, A., Swingedouw, D., Thieblemont, R.,
Traore, A. K., Vancoppenolle, M., Vial, J., Vialard, J., Viovy, N., and Vuichard, N.: Presentation and Evaluation of
the IPSL-CM6A-LR Climate Model, J. Adv. Model. Earth Sy., 12, e2019MS002010, <a href="https://doi.org/10.1029/2019MS002010" target="_blank">https://doi.org/10.1029/2019MS002010</a>,
2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Cai et al.(2025)Cai, Reason, Mohino, Rodríguez-Fonseca, Malherbe, Santoso, Li, Chikoore, Nnamchi, McPhaden,
Keenlyside, Taschetto, Wu, Ng, Liu, Geng, Yang, Wang, Jia, Lin, Li, Yang, Wang, Zhang, Li, Wilfried, Zhou, Zhang,
Engelbrecht, Li, and Mutemi</label><mixed-citation>
       Cai, W., Reason, C., Mohino, E., Rodríguez-Fonseca, B.,
Malherbe, J., Santoso, A., Li, X., Chikoore, H., Nnamchi, H., McPhaden, M. J., Keenlyside, N., Taschetto, A. S.,
Wu, L., Ng, B., Liu, Y., Geng, T., Yang, K., Wang, G., Jia, F., Lin, X., Li, S., Yang, Y., Wang, J., Zhang, L.,
Li, Z., Wilfried, P., Zhou, L., Zhang, X., Engelbrecht, F., Li, Z., and Mutemi, J. N.: Climate impacts of the El
Niño–Southern Oscillation in Africa, Nature Reviews Earth and Environment, 6, 503–520,
<a href="https://doi.org/10.1038/s43017-025-00705-7" target="_blank">https://doi.org/10.1038/s43017-025-00705-7</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Chagnaud et al.(2022)Chagnaud, Panthou, Vischel, and Lebel</label><mixed-citation>
       Chagnaud, G.,
Panthou, G., Vischel, T., and Lebel, T.: A synthetic view of rainfall intensification in the West African Sahel,
Environ. Res. Lett., 17, 044005, <a href="https://doi.org/10.1088/1748-9326/ac4a9c" target="_blank">https://doi.org/10.1088/1748-9326/ac4a9c</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Cook(1999)</label><mixed-citation>
       Cook, K. H.: Generation of the African easterly jet and its role in
determining West African precipitation, J. Climate, 12, 1165–1184,
<a href="https://doi.org/10.1175/1520-0442(1999)012&lt;1165:GOTAEJ&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0442(1999)012&lt;1165:GOTAEJ&gt;2.0.CO;2</a>, 1999.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Dai et al.(2004)Dai, Lamb, Trenberth, Hulme, Jones, and Xie</label><mixed-citation>
       Dai, A., Lamb, P. J.,
Trenberth, K. E., Hulme, M., Jones, P. D., and Xie, P.: The recent Sahel drought is real, Int. J. Climatol., 24,
1323–1331, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Datti et al.(2025)Datti, Zeng, Monerie, Oo, and Chen</label><mixed-citation>
       Datti, A. D., Zeng, G.,
Monerie, P.-A., Oo, K. T., and Chen, C.: A Review of the arctic-West African monsoon nexus: How arctic sea ice
decline influences monsoon system, Theor. Appl. Climatol., 156, 9, <a href="https://doi.org/10.1007/s00704-024-05255-4" target="_blank">https://doi.org/10.1007/s00704-024-05255-4</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Dong and Dai(2015)</label><mixed-citation>
       Dong, B. and Dai, A.: The influence of the Interdecadal Pacific
Oscillation on Temperature and Precipitation over the Globe, Clim. Dynam., 45, 2667–2681,
<a href="https://doi.org/10.1007/s00382-015-2500-x" target="_blank">https://doi.org/10.1007/s00382-015-2500-x</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Dong and Sutton(2015)</label><mixed-citation>
       Dong, B. and Sutton, R.: Dominant role of greenhouse-gas forcing in
the recovery of Sahel rainfall, Nat. Clim. Change, 5, 757–U173, <a href="https://doi.org/10.1038/NCLIMATE2664" target="_blank">https://doi.org/10.1038/NCLIMATE2664</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Dong et al.(2014)Dong, Sutton, Highwood, and Wilcox</label><mixed-citation>
       Dong, B., Sutton, R. T.,
Highwood, E., and Wilcox, L.: The impacts of European and Asian anthropogenic sulfur dioxide emissions on Sahel
rainfall, J. Climate, 27, 7000–7017, <a href="https://doi.org/10.1175/JCLI-D-13-00769.1" target="_blank">https://doi.org/10.1175/JCLI-D-13-00769.1</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Donohoe et al.(2013)Donohoe, Marshall, Ferreira, and Mcgee</label><mixed-citation>
       Donohoe, A., Marshall, J.,
Ferreira, D., and Mcgee, D.: The relationship between ITCZ location and cross-equatorial atmospheric heat transport:
From the seasonal cycle to the Last Glacial Maximum, J. Climate, 26, 3597–3618, <a href="https://doi.org/10.1175/JCLI-D-12-00467.1" target="_blank">https://doi.org/10.1175/JCLI-D-12-00467.1</a>,
2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Donohoe et al.(2014)Donohoe, Marshall, Ferreira, Armour, and McGee</label><mixed-citation>
       Donohoe, A.,
Marshall, J., Ferreira, D., Armour, K., and McGee, D.: The Interannual Variability of Tropical Precipitation
and Interhemispheric Energy Transport, J. Climate, 27, 3377–3392, <a href="https://doi.org/10.1175/JCLI-D-13-00499.1" target="_blank">https://doi.org/10.1175/JCLI-D-13-00499.1</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Döscher et al.(2022)Döscher, Acosta, Alessandri, Anthoni, Arsouze, Bergman, Bernardello, Boussetta, Caron,
Carver, Castrillo, Catalano, Cvijanovic, Davini, Dekker, Doblas-Reyes, Docquier, Echevarria, Fladrich,
Fuentes-Franco, Gröger, v. Hardenberg, Hieronymus, Karami, Keskinen, Koenigk, Makkonen, Massonnet, Ménégoz, Miller,
Moreno-Chamarro, Nieradzik, van Noije, Nolan, O'Donnell, Ollinaho, van den Oord, Ortega, Prims, Ramos, Reerink,
Rousset, Ruprich-Robert, Le Sager, Schmith, Schrödner, Serva, Sicardi, Sloth Madsen, Smith, Tian, Tourigny, Uotila,
Vancoppenolle, Wang, Wårlind, Willén, Wyser, Yang, Yepes-Arbós, and Zhang</label><mixed-citation>
       Döscher, R.,
Acosta, M., Alessandri, A., Anthoni, P., Arsouze, T., Bergman, T., Bernardello, R., Boussetta, S., Caron, L.-P.,
Carver, G., Castrillo, M., Catalano, F., Cvijanovic, I., Davini, P., Dekker, E., Doblas-Reyes, F. J., Docquier, D.,
Echevarria, P., Fladrich, U., Fuentes-Franco, R., Gröger, M., v. Hardenberg, J., Hieronymus, J., Karami, M. P.,
Keskinen, J.-P., Koenigk, T., Makkonen, R., Massonnet, F., Ménégoz, M., Miller, P. A., Moreno-Chamarro, E.,
Nieradzik, L., van Noije, T., Nolan, P., O'Donnell, D., Ollinaho, P., van den Oord, G., Ortega, P., Prims, O. T.,
Ramos, A., Reerink, T., Rousset, C., Ruprich-Robert, Y., Le Sager, P., Schmith, T., Schrödner, R., Serva, F.,
Sicardi, V., Sloth Madsen, M., Smith, B., Tian, T., Tourigny, E., Uotila, P., Vancoppenolle, M., Wang, S.,
Wårlind, D., Willén, U., Wyser, K., Yang, S., Yepes-Arbós, X., and Zhang, Q.: The EC-Earth3 Earth system model for the
Coupled Model Intercomparison Project 6, Geosci. Model Dev., 15, 2973–3020, <a href="https://doi.org/10.5194/gmd-15-2973-2022" target="_blank">https://doi.org/10.5194/gmd-15-2973-2022</a>,
2022. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Folland et al.(1986)Folland, Palmer, and Parker</label><mixed-citation>
       Folland, C., Palmer, T., and Parker, D.:
Sahel Rainfall and Worldwide Sea Temperatures, 1901-85, Nature, 320, 602–607, <a href="https://doi.org/10.1038/320602a0" target="_blank">https://doi.org/10.1038/320602a0</a>, 1986.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Ganguly et al.(2024)Ganguly, Gonzalez, and Karnauskas</label><mixed-citation>
       Ganguly, I., Gonzalez, A. O., and
Karnauskas, K. B.: On the role of wind–evaporation–SST feedbacks in the subseasonal variability of the East Pacific
ITCZ, J. Climate, 37, 129–143, <a href="https://doi.org/10.1175/JCLI-D-22-0849.1" target="_blank">https://doi.org/10.1175/JCLI-D-22-0849.1</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Giannini and Kaplan(2019)</label><mixed-citation>
       Giannini, A. and Kaplan, A.: The role of aerosols and
greenhouse gases in Sahel drought and recovery, Climatic Change, 152, 449–466, <a href="https://doi.org/10.1007/s10584-018-2341-9" target="_blank">https://doi.org/10.1007/s10584-018-2341-9</a>,
2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Guo et al.(2024)Guo, Xie, Myhre, Shindell, Kirkevåg, Iversen, Samset, Shi, Li, Sun, Liu, and
Liu</label><mixed-citation>
       Guo, J., Xie, X., Myhre, G., Shindell, D., Kirkevåg, A., Iversen, T., Samset, B. H.,
Shi, Z., Li, X., Sun, H., Liu, X., and Liu, Y.: Increased Asian Sulfate Aerosol Emissions Remarkably
Enhance Sahel Summer Precipitation, Earths Future, 12, e2024EF004745, <a href="https://doi.org/10.1029/2024EF004745" target="_blank">https://doi.org/10.1029/2024EF004745</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Gutjahr et al.(2019)Gutjahr, Putrasahan, Lohmann, Jungclaus, von Storch, Brüggemann, Haak, and
Stössel</label><mixed-citation>
       Gutjahr, O., Putrasahan, D., Lohmann, K., Jungclaus, J. H., von Storch, J.-S.,
Brüggemann, N., Haak, H., and Stössel, A.: Max Planck Institute Earth System Model (MPI-ESM1.2) for the
High-Resolution Model Intercomparison Project (HighResMIP), Geosci. Model Dev., 12, 3241–3281,
<a href="https://doi.org/10.5194/gmd-12-3241-2019" target="_blank">https://doi.org/10.5194/gmd-12-3241-2019</a>, 2019. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Haarsma et al.(2020)Haarsma, Acosta, Bakhshi, Bretonniere, Caron, Castrillo, Corti, Davini, Exarchou, Fabiano,
Fladrich, Franco, Garcia-Serrano, von Hardenberg, Koenigk, Levine, Meccia, van Noije, van den Oord, Palmeiro,
Rodrigo, Ruprich-Robert, Le Sager, Tourigny, Wang, van Weele, and Wyser</label><mixed-citation>
       Haarsma, R.,
Acosta, M., Bakhshi, R., Bretonnière, P.-A., Caron, L.-P., Castrillo, M., Corti, S., Davini, P., Exarchou, E.,
Fabiano, F., Fladrich, U., Fuentes Franco, R., García-Serrano, J., von Hardenberg, J., Koenigk, T., Levine, X.,
Meccia, V. L., van Noije, T., van den Oord, G., Palmeiro, F. M., Rodrigo, M., Ruprich-Robert, Y., Le Sager, P.,
Tourigny, E., Wang, S., van Weele, M., and Wyser, K.: HighResMIP versions of EC-Earth: EC-Earth3P and EC-Earth3P-HR –
description, model computational performance and basic validation, Geosci. Model Dev., 13, 3507–3527,
<a href="https://doi.org/10.5194/gmd-13-3507-2020" target="_blank">https://doi.org/10.5194/gmd-13-3507-2020</a>, 2020. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Hartmann(2016)</label><mixed-citation>
      
Hartmann, D. L.: Global physical climatology, 2nd edn., Elsevier, Amsterdam, Netherlands, <a href="https://doi.org/10.1016/C2009-0-00030-0" target="_blank">https://doi.org/10.1016/C2009-0-00030-0</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Haywood et al.(2013)Haywood, Jones, Bellouin, and Stephenson</label><mixed-citation>
       Haywood, J. M.,
Jones, A., Bellouin, N., and Stephenson, D.: Asymmetric forcing from stratospheric aerosols impacts Sahelian
rainfall, Nat. Clim. Change, 3, 660–665, <a href="https://doi.org/10.1038/nclimate1857" target="_blank">https://doi.org/10.1038/nclimate1857</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>He et al.(2023)He, Clement, Kramer, Cane, Klavans, Fenske, and Murphy</label><mixed-citation>
       He, C.,
Clement, A. C., Kramer, S. M., Cane, M. A., Klavans, J. M., Fenske, T. M., and Murphy, L. N.: Tropical Atlantic
multidecadal variability is dominated by external forcing, Nature, 622, 521–527, <a href="https://doi.org/10.1038/s41586-023-06489-4" target="_blank">https://doi.org/10.1038/s41586-023-06489-4</a>,
2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Herman et al.(2023)Herman, Biasutti, and Kushnir</label><mixed-citation>
       Herman, R. J., Biasutti, M., and
Kushnir, Y.: Drivers of low-frequency Sahel precipitation variability: comparing CMIP5 and CMIP6 ensemble means
with observations, Clim. Dynam., 61, 4449–4470, <a href="https://doi.org/10.1007/s00382-023-06755-1" target="_blank">https://doi.org/10.1007/s00382-023-06755-1</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Hersbach et al.(2020)Hersbach, Bell, Berrisford, Hirahara, Horányi, Muñoz-Sabater, Nicolas, Peubey, Radu,
Schepers, Simmons, Soci, Abdalla, Abellan, Balsamo, Bechtold, Biavati, Bidlot, Bonavita, De Chiara, Dahlgren, Dee,
Diamantakis, Dragani, Flemming, Forbes, Fuentes, Geer, Haimberger, Healy, Hogan, Hólm, Janisková, Keeley, Laloyaux,
Lopez, Lupu, Radnoti, de Rosnay, Rozum, Vamborg, Villaume, and Thépaut</label><mixed-citation>
       Hersbach, H., Bell, B.,
Berrisford, P., Hirahara, S., Horányi, A., Muñoz-Sabater, J., Nicolas, J., Peubey, C., Radu, R., Schepers, D.,
Simmons, A., Soci, C., Abdalla, S., Abellan, X., Balsamo, G., Bechtold, P., Biavati, G., Bidlot, J., Bonavita, M.,
De Chiara, G., Dahlgren, P., Dee, D., Diamantakis, M., Dragani, R., Flemming, J., Forbes, R., Fuentes, M., Geer, A.,
Haimberger, L., Healy, S., Hogan, R. J., Hólm, E., Janisková, M., Keeley, S., Laloyaux, P., Lopez, P., Lupu, C.,
Radnoti, G., de Rosnay, P., Rozum, I., Vamborg, F., Villaume, S., and Thépaut, J.-N.: The ERA5 global reanalysis,
Q. J. Roy. Meteor. Soc., 146, 1999–2049, <a href="https://doi.org/10.1002/qj.3803" target="_blank">https://doi.org/10.1002/qj.3803</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Hill et al.(2017)Hill, Ming, Held, and Zhao</label><mixed-citation>
       Hill, S. A., Ming, Y., Held, I. M., and
Zhao, M.: A Moist Static Energy Budget-Based Analysis of the Sahel Rainfall Response to Uniform
Oceanic Warming, J. Climate, 30, 5637–5660, <a href="https://doi.org/10.1175/JCLI-D-16-0785.1" target="_blank">https://doi.org/10.1175/JCLI-D-16-0785.1</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Hill et al.(2018)Hill, Ming, and Zhao</label><mixed-citation>
       Hill, S. A., Ming, Y., and Zhao, M.: Robust
responses of the Sahelian hydrological cycle to global warming, J. Climate, 31, 9793–9814,
<a href="https://doi.org/10.1175/JCLI-D-18-0238.1" target="_blank">https://doi.org/10.1175/JCLI-D-18-0238.1</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Hirasawa et al.(2020)Hirasawa, Kushner, Sigmond, Fyfe, and Deser</label><mixed-citation>
       Hirasawa, H.,
Kushner, P. J., Sigmond, M., Fyfe, J., and Deser, C.: Anthropogenic Aerosols Dominate Forced Multidecadal
Sahel Precipitation Change through Distinct Atmospheric and Oceanic Drivers, J. Climate, 33,
10187–10204, <a href="https://doi.org/10.1175/JCLI-D-19-0829.1" target="_blank">https://doi.org/10.1175/JCLI-D-19-0829.1</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Hirasawa et al.(2022)Hirasawa, Kushner, Sigmond, Fyfe, and Deser</label><mixed-citation>
       Hirasawa, H.,
Kushner, P. J., Sigmond, M., Fyfe, J., and Deser, C.: Evolving Sahel rainfall response to anthropogenic aerosols
driven by shifting regional oceanic and emission influences, J. Climate, 35, 3181–3193,
<a href="https://doi.org/10.1175/JCLI-D-21-0795.1" target="_blank">https://doi.org/10.1175/JCLI-D-21-0795.1</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>Hirons et al.(2015)Hirons, Klingaman, and Woolnough</label><mixed-citation>
       Hirons, L. C.,
Klingaman, N. P., and Woolnough, S. J.: MetUM-GOML1: a near-globally coupled atmosphere–ocean-mixed-layer model,
Geosci. Model Dev., 8, 363–379, <a href="https://doi.org/10.5194/gmd-8-363-2015" target="_blank">https://doi.org/10.5194/gmd-8-363-2015</a>, 2015. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Hodson et al.(2022)Hodson, Bretonniere, Cassou, Davini, Klingaman, Lohmann, Lopez-Parages, Martin-Rey, Moine,
Monerie, Putrasahan, Roberts, Robson, Ruprich-Robert, Sanchez-Gomez, Seddon, and Senan</label><mixed-citation>
      
Hodson, D. L. R., Bretonniere, P.-A., Cassou, C., Davini, P., Klingaman, N. P., Lohmann, K., Lopez-Parages, J.,
Martin-Rey, M., Moine, M.-P., Monerie, P.-A., Putrasahan, D. A., Roberts, C. D., Robson, J., Ruprich-Robert, Y.,
Sanchez-Gomez, E., Seddon, J., and Senan, R.: Coupled climate response to Atlantic Multidecadal Variability in a
multi-model multi-resolution ensemble, Clim. Dynam., 59, 805–836, <a href="https://doi.org/10.1007/s00382-022-06157-9" target="_blank">https://doi.org/10.1007/s00382-022-06157-9</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Hua et al.(2019)Hua, Dai, Zhou, Qin, and Chen</label><mixed-citation>
       Hua, W., Dai, A., Zhou, L., Qin, M., and
Chen, H.: An Externally Forced Decadal Rainfall Seesaw Pattern Over the Sahel and Southeast
Amazon, Geophys. Res. Lett., 46, 923–932, <a href="https://doi.org/10.1029/2018GL081406" target="_blank">https://doi.org/10.1029/2018GL081406</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Huang et al.(2015)Huang, Banzon, Freeman, Lawrimore, Liu, Peterson, Smith, Thorne, Woodruff, and
Zhang</label><mixed-citation>
       Huang, B., Banzon, V. F., Freeman, E., Lawrimore, J., Liu, W., Peterson, T. C.,
Smith, T. M., Thorne, P. W., Woodruff, S. D., and Zhang, H.-M.: Extended reconstructed sea surface temperature version
4 (ERSS T. v4). Part I: Upgrades and intercomparisons, J. Climate, 28, 911–930, <a href="https://doi.org/10.1175/JCLI-D-14-00006.1" target="_blank">https://doi.org/10.1175/JCLI-D-14-00006.1</a>,
2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Hwang et al.(2013)Hwang, Frierson, and Kang</label><mixed-citation>
       Hwang, Y., Frierson, D. M. W., and
Kang, S. M.: Anthropogenic sulfate aerosol and the southward shift of tropical precipitation in the late 20th century,
Geophys. Res. Lett., 40, 2845–2850, <a href="https://doi.org/10.1002/grl.50502" target="_blank">https://doi.org/10.1002/grl.50502</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Jeong et al.(2025)Jeong, Park, Kang, and Chung</label><mixed-citation>
       Jeong, H., Park, H.-S., Kang, S. M., and
Chung, E.-S.: The greater role of Southern Ocean warming compared to Arctic Ocean warming in shifting future
tropical rainfall patterns, Nat. Commun., 16, 2790, <a href="https://doi.org/10.1038/s41467-025-57654-4" target="_blank">https://doi.org/10.1038/s41467-025-57654-4</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Joshi et al.(2022)Joshi, Rai, and Kulkarni</label><mixed-citation>
       Joshi, M. K., Rai, A., and Kulkarni, A.:
Global-scale interdecadal variability a skillful predictor at decadal-to-multidecadal timescales for Sahelian and
Indian Monsoon Rainfall, npj Climate and Atmospheric Science, 5, 2, <a href="https://doi.org/10.1038/s41612-021-00227-1" target="_blank">https://doi.org/10.1038/s41612-021-00227-1</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>Kang et al.(2008)Kang, Held, Frierson, and Zhao</label><mixed-citation>
       Kang, S. M., Held, I. M., Frierson, D. M.,
and Zhao, M.: The response of the ITCZ to extratropical thermal forcing: Idealized slab-ocean experiments with a GCM,
J. Climate, 21, 3521–3532, <a href="https://doi.org/10.1175/2007JCLI2146.1" target="_blank">https://doi.org/10.1175/2007JCLI2146.1</a>, 2008.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>Kang et al.(2009)Kang, Frierson, and Held</label><mixed-citation>
       Kang, S. M., Frierson, D. M., and Held, I. M.: The
tropical response to extratropical thermal forcing in an idealized GCM: The importance of radiative feedbacks and
convective parameterization, J. Atmos. Sci., 66, 2812–2827, <a href="https://doi.org/10.1175/2009JAS2924.1" target="_blank">https://doi.org/10.1175/2009JAS2924.1</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib47"><label>Karnauskas(2022)</label><mixed-citation>
       Karnauskas, K. B.: A simple coupled model of the wind–evaporation–SST
feedback with a role for stability, J. Climate, 35, 2149–2160, <a href="https://doi.org/10.1175/JCLI-D-20-0895.1" target="_blank">https://doi.org/10.1175/JCLI-D-20-0895.1</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib48"><label>Kim et al.(2020)Kim, Yeager, and Danabasoglu</label><mixed-citation>
       Kim, W. M., Yeager, S., and Danabasoglu, G.:
Atlantic multidecadal variability and associated climate impacts initiated by ocean thermohaline dynamics, J. Climate,
33, 1317–1334, <a href="https://doi.org/10.1175/JCLI-D-19-0530.1" target="_blank">https://doi.org/10.1175/JCLI-D-19-0530.1</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib49"><label>Kitoh et al.(2020)</label><mixed-citation>
      
Kitoh, A., Mohino, E., Ding, Y., Rajendran, K., Ambrizzi, T., Marengo, J., and Magaña, V.: Combined oceanic influences on continental climates, in: Interacting climates of ocean basins: observations, mechanisms, predictability, and impacts, vol. 1, 1st edn., Cambridge University Press, New York, USA, 216–249, <a href="https://doi.org/10.1017/9781108610995" target="_blank">https://doi.org/10.1017/9781108610995</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib50"><label>Knight et al.(2006)Knight, Folland, and Scaife</label><mixed-citation>
       Knight, J. R., Folland, C. K., and
Scaife, A. A.: Climate impacts of the Atlantic Multidecadal Oscillation, Geophys. Res. Lett., 33, L17706,
<a href="https://doi.org/10.1029/2006GL026242" target="_blank">https://doi.org/10.1029/2006GL026242</a>, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib51"><label>Lavaysse et al.(2010)Lavaysse, Flamant, and Janicot</label><mixed-citation>
       Lavaysse, C., Flamant, C., and
Janicot, S.: Regional-scale convection patterns during strong and weak phases of the Saharan heat low,
Atmos. Sci. Lett., 11, 255–264, <a href="https://doi.org/10.1002/asl.284" target="_blank">https://doi.org/10.1002/asl.284</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib52"><label>Lebel and Ali(2009)</label><mixed-citation>
       Lebel, T. and Ali, A.: Recent trends in the Central and Western
Sahel rainfall regime (1990–2007), J. Hydrol., 375, 52–64, <a href="https://doi.org/10.1016/j.jhydrol.2008.11.030" target="_blank">https://doi.org/10.1016/j.jhydrol.2008.11.030</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib53"><label>Li et al.(2016)Li, Schmitt, Ummenhofer, and Karnauskas</label><mixed-citation>
       Li, L., Schmitt, R. W.,
Ummenhofer, C. C., and Karnauskas, K. B.: North Atlantic salinity as a predictor of Sahel rainfall, Sci.  Adv., 2,
e1501588, <a href="https://doi.org/10.1126/sciadv.1501588" target="_blank">https://doi.org/10.1126/sciadv.1501588</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib54"><label>Marshall et al.(2014)Marshall, Donohoe, Ferreira, and McGee</label><mixed-citation>
       Marshall, J., Donohoe, A.,
Ferreira, D., and McGee, D.: The ocean’s role in setting the mean position of the Inter-Tropical Convergence
Zone, Clim. Dynam., 42, 1967–1979, <a href="https://doi.org/10.1007/s00382-013-1767-z" target="_blank">https://doi.org/10.1007/s00382-013-1767-z</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib55"><label>Martin and Thorncroft(2014)</label><mixed-citation>
       Martin, E. R. and Thorncroft, C. D.: The impact of the
AMO on the West African monsoon annual cycle, Q. J. Roy. Meteor. Soc., 140, 31–46, <a href="https://doi.org/10.1002/qj.2107" target="_blank">https://doi.org/10.1002/qj.2107</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib56"><label>Martin et al.(2014)Martin, Thorncroft, and Booth</label><mixed-citation>
       Martin, E. R., Thorncroft, C., and
Booth, B. B. B.: The Multidecadal Atlantic SST-Sahel Rainfall Teleconnection in CMIP5 Simulations,
J. Climate, 27, 784–806, <a href="https://doi.org/10.1175/JCLI-D-13-00242.1" target="_blank">https://doi.org/10.1175/JCLI-D-13-00242.1</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib57"><label>Mayer et al.(2021)Mayer, Mayer, and Haimberger</label><mixed-citation>
       Mayer, J., Mayer, M., and Haimberger, L.:
Mass-consistent atmospheric energy and moisture budget monthly data from 1979 to present derived from ERA5 reanalysis,
Copernicus Climate Change Service (C3S) Climate Data Store (CDS), <a href="https://doi.org/10.24381/cds.c2451f6b" target="_blank">https://doi.org/10.24381/cds.c2451f6b</a>, last access: 3 March
2026, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib58"><label>Mohino et al.(2011)Mohino, Janicot, and Bader</label><mixed-citation>
       Mohino, E., Janicot, S., and Bader, J.:
Sahel rainfall and decadal to multi-decadal sea surface temperature variability, Clim. Dynam., 37, 419–440,
<a href="https://doi.org/10.1007/s00382-010-0867-2" target="_blank">https://doi.org/10.1007/s00382-010-0867-2</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib59"><label>Mohino et al.(2024)Mohino, Monerie, Mignot, Diakhaté, Donat, Roberts, and Doblas-Reyes</label><mixed-citation>
      
Mohino, E., Monerie, P.-A., Mignot, J., Diakhaté, M., Donat, M., Roberts, C. D., and Doblas-Reyes, F.: Impact of
Atlantic multidecadal variability on rainfall intensity distribution and timing of the West African monsoon, Earth
Syst. Dynam., 15, 15–40, <a href="https://doi.org/10.5194/esd-15-15-2024" target="_blank">https://doi.org/10.5194/esd-15-15-2024</a>, 2024. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib60"><label>Monerie et al.(2023)Monerie, Dittus, Wilcox, and Turner</label><mixed-citation>
       Monerie, P.,
Dittus, A. J., Wilcox, L. J., and Turner, A. G.: Uncertainty in Simulating Twentieth Century West African
Precipitation Trends: The Role of Anthropogenic Aerosol Emissions, Earths Future, 11, e2022EF002995,
<a href="https://doi.org/10.1029/2022EF002995" target="_blank">https://doi.org/10.1029/2022EF002995</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib61"><label>Monerie et al.(2019a)Monerie, Oudar, and Sanchez-Gomez</label><mixed-citation>
       Monerie, P.-A., Oudar, T., and
Sanchez-Gomez, E.: Respective impacts of Arctic sea ice decline and increasing greenhouse gases concentration on
Sahel precipitation, Clim. Dynam., 52, 5947–5964, <a href="https://doi.org/10.1007/s00382-018-4488-5" target="_blank">https://doi.org/10.1007/s00382-018-4488-5</a>, 2019a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib62"><label>Monerie et al.(2019b)Monerie, Robson, Dong, Hodson, and Klingaman</label><mixed-citation>
       Monerie, P.-A.,
Robson, J., Dong, B., Hodson, D. L. R., and Klingaman, N. P.: Effect of the Atlantic Multidecadal Variability on
the Global Monsoon, Geophys. Res. Lett., 46, 1765–1775, <a href="https://doi.org/10.1029/2018GL080903" target="_blank">https://doi.org/10.1029/2018GL080903</a>, 2019b.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib63"><label>Monerie et al.(2021)Monerie, Robson, Dong, and Hodson</label><mixed-citation>
       Monerie, P.-A., Robson, J.,
Dong, B., and Hodson, D.: Role of the Atlantic multidecadal variability in modulating East Asian climate,
Clim. Dynam., 56, 381–398, <a href="https://doi.org/10.1007/s00382-020-05477-y" target="_blank">https://doi.org/10.1007/s00382-020-05477-y</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib64"><label>Monerie et al.(2025)Monerie, Mohino, Moine, Biasutti, Pohl, and Mignot</label><mixed-citation>
       Monerie, P.-A.,
Mohino, E., Moine, M.-P., Biasutti, M., Pohl, B., and Mignot, J.: Exploring uncertainty in dynamical future changes in
Sahel precipitation: the extratropical influence, Clim. Dynam., 63, 1–21, <a href="https://doi.org/10.1007/s00382-025-07835-0" target="_blank">https://doi.org/10.1007/s00382-025-07835-0</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib65"><label>Moreno-Chamarro et al.(2020)Moreno-Chamarro, Marshall, and Delworth</label><mixed-citation>
      
Moreno-Chamarro, E., Marshall, J., and Delworth, T. L.: Linking ITCZ migrations to the AMOC and North
Atlantic/Pacific SST decadal variability, J. Climate, 33, 893–905, <a href="https://doi.org/10.1175/JCLI-D-19-0258.1" target="_blank">https://doi.org/10.1175/JCLI-D-19-0258.1</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib66"><label>Mutton et al.(2022)Mutton, Chadwick, Collins, Lambert, Geen, Todd, and Taylor</label><mixed-citation>
      
Mutton, H., Chadwick, R., Collins, M., Lambert, F. H., Geen, R., Todd, A., and Taylor, C. M.: The impact of the direct
radiative effect of increased CO<sub>2</sub> on the West African monsoon, J. Climate, 35, 2441–2458,
<a href="https://doi.org/10.1175/JCLI-D-21-0340.1" target="_blank">https://doi.org/10.1175/JCLI-D-21-0340.1</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib67"><label>Mutton et al.(2024)Mutton, Chadwick, Collins, Lambert, Taylor, Geen, and Todd</label><mixed-citation>
      
Mutton, H., Chadwick, R., Collins, M., Lambert, F. H., Taylor, C. M., Geen, R., and Todd, A.: The impact of a uniform
ocean warming on the West African monsoon, Clim. Dynam., 62, 103–122, <a href="https://doi.org/10.1007/s00382-023-06898-1" target="_blank">https://doi.org/10.1007/s00382-023-06898-1</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib68"><label>Ndiaye et al.(2022)Ndiaye, Mohino, Mignot, and Sall</label><mixed-citation>
       Ndiaye, C. D., Mohino, E.,
Mignot, J., and Sall, S. M.: On the Detection of Externally Forced Decadal Modulations of the Sahel
Rainfall over the Whole Twentieth Century in the CMIP6 Ensemble, J. Climate, 35, 3339–3354,
<a href="https://doi.org/10.1175/JCLI-D-21-0585.1" target="_blank">https://doi.org/10.1175/JCLI-D-21-0585.1</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib69"><label>Neelin and Held(1987)</label><mixed-citation>
       Neelin, J. D. and Held, I. M.: Modeling tropical convergence based
on the moist static energy budget, Mon. Weather Rev., 115, 3–12,
<a href="https://doi.org/10.1175/1520-0493(1987)115&lt;0003:MTCBOT&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0493(1987)115&lt;0003:MTCBOT&gt;2.0.CO;2</a>, 1987.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib70"><label>Nicholson(2013)</label><mixed-citation>
       Nicholson, S. E.: The West African Sahel: A Review of
Recent Studies on the Rainfall Regime and Its Interannual Variability, International Scholarly Research
Notices, 2013, e453521, <a href="https://doi.org/10.1155/2013/453521" target="_blank">https://doi.org/10.1155/2013/453521</a>, 2013.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib71"><label>O’Reilly et al.(2017)O’Reilly, Woollings, and Zanna</label><mixed-citation>
       O’Reilly, C. H., Woollings, T.,
and Zanna, L.: The dynamical influence of the Atlantic multidecadal oscillation on continental climate, J. Climate,
30, 7213–7230, <a href="https://doi.org/10.1175/JCLI-D-16-0345.1" target="_blank">https://doi.org/10.1175/JCLI-D-16-0345.1</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib72"><label>O’Reilly et al.(2023)O’Reilly, Patterson, Robson, Monerie, Hodson, and Ruprich-Robert</label><mixed-citation>
      
O’Reilly, C. H., Patterson, M., Robson, J., Monerie, P. A., Hodson, D., and Ruprich-Robert, Y.: Challenges with
interpreting the impact of Atlantic Multidecadal Variability using SST-restoring experiments, npj Climate and
Atmospheric Science, 6, 14, <a href="https://doi.org/10.1038/s41612-023-00335-0" target="_blank">https://doi.org/10.1038/s41612-023-00335-0</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib73"><label>Roberts et al.(2018)Roberts, Senan, Molteni, Boussetta, Mayer, and Keeley</label><mixed-citation>
      
Roberts, C. D., Senan, R., Molteni, F., Boussetta, S., Mayer, M., and Keeley, S. P. E.: Climate model configurations
of the ECMWF Integrated Forecasting System (ECMWF-IFS cycle 43r1) for HighResMIP, Geosci. Model Dev., 11, 3681–3712,
<a href="https://doi.org/10.5194/gmd-11-3681-2018" target="_blank">https://doi.org/10.5194/gmd-11-3681-2018</a>, 2018. 
    </mixed-citation></ref-html>
<ref-html id="bib1.bib74"><label>Rodríguez-Fonseca et al.(2015)Rodríguez-Fonseca, Mohino, Mechoso, Caminade, Biasutti, Gaetani, García-Serrano,
Vizy, Cook, and Xue</label><mixed-citation>
       Rodríguez-Fonseca, B., Mohino, E., Mechoso, C. R.,
Caminade, C., Biasutti, M., Gaetani, M., García-Serrano, J., Vizy, E. K., Cook, K., and Xue, Y.: Variability and
predictability of West African droughts: a review on the role of sea surface temperature anomalies, J. Climate,
28, 4034–4060, <a href="https://doi.org/10.1175/JCLI-D-14-00130.1" target="_blank">https://doi.org/10.1175/JCLI-D-14-00130.1</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib75"><label>Rotstayn and Lohmann(2002)</label><mixed-citation>
       Rotstayn, L. D. and Lohmann, U.: Tropical Rainfall
Trends and the Indirect Aerosol Effect, J. Climate, <a href="https://doi.org/10.1175/1520-0442(2002)015&lt;2103:TRTATI&gt;2.0.CO;2" target="_blank">https://doi.org/10.1175/1520-0442(2002)015&lt;2103:TRTATI&gt;2.0.CO;2</a>,
2002.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib76"><label>Ruprich-Robert et al.(2018)Ruprich-Robert, Delworth, Msadek, Castruccio, Yeager, and
Danabasoglu</label><mixed-citation>
       Ruprich-Robert, Y., Delworth, T., Msadek, R., Castruccio, F., Yeager, S.,
and Danabasoglu, G.: Impacts of the Atlantic Multidecadal Variability on North American Summer Climate
and Heat Waves, J. Climate, <a href="https://doi.org/10.1175/JCLI-D-17-0270.1" target="_blank">https://doi.org/10.1175/JCLI-D-17-0270.1</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib77"><label>Ruprich-Robert et al.(2021)Ruprich-Robert, Moreno-Chamarro, Levine, Bellucci, Cassou, Castruccio, Davini,
Eade, Gastineau, Hermanson, Hodson, Lohmann, Lopez-Parages, Monerie, Nicolì, Qasmi, Roberts, Sanchez-Gomez,
Danabasoglu, Dunstone, Martin-Rey, Msadek, Robson, Smith, and Tourigny</label><mixed-citation>
      
Ruprich-Robert, Y., Moreno-Chamarro, E., Levine, X., Bellucci, A., Cassou, C., Castruccio, F., Davini, P., Eade, R.,
Gastineau, G., Hermanson, L., Hodson, D., Lohmann, K., Lopez-Parages, J., Monerie, P.-A., Nicolì, D., Qasmi, S.,
Roberts, C. D., Sanchez-Gomez, E., Danabasoglu, G., Dunstone, N., Martin-Rey, M., Msadek, R., Robson, J., Smith, D.,
and Tourigny, E.: Impacts of Atlantic multidecadal variability on the tropical Pacific: a multi-model study, npj
Climate and Atmospheric Science, 4, 1–11, <a href="https://doi.org/10.1038/s41612-021-00188-5" target="_blank">https://doi.org/10.1038/s41612-021-00188-5</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib78"><label>Sanderson et al.(2015)Sanderson, Knutti, and Caldwell</label><mixed-citation>
       Sanderson, B. M., Knutti, R., and
Caldwell, P.: Addressing interdependency in a multimodel ensemble by interpolation of model properties, J. Climate,
28, 5150–5170, <a href="https://doi.org/10.1175/JCLI-D-14-00361.1" target="_blank">https://doi.org/10.1175/JCLI-D-14-00361.1</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib79"><label>Sanogo et al.(2015)Sanogo, Fink, Omotosho, Ba, Redl, and Ermert</label><mixed-citation>
       Sanogo, S.,
Fink, A. H., Omotosho, J. A., Ba, A., Redl, R., and Ermert, V.: Spatio-temporal characteristics of the recent rainfall
recovery in West Africa, Int. J. Climatol., 35, 4589–4605, <a href="https://doi.org/10.1002/joc.4309" target="_blank">https://doi.org/10.1002/joc.4309</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib80"><label>Schneider et al.(2014)Schneider, Bischoff, and Haug</label><mixed-citation>
       Schneider, T., Bischoff, T.,
and Haug, G. H.: Migrations and dynamics of the intertropical convergence zone, Nature, 513, 45–53,
<a href="https://doi.org/10.1038/nature13636" target="_blank">https://doi.org/10.1038/nature13636</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib81"><label>Schulzweida(2023)</label><mixed-citation>
      
Schulzweida, U.: CDO User Guide, Zenodo, <a href="https://doi.org/10.5281/zenodo.10020800" target="_blank">https://doi.org/10.5281/zenodo.10020800</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib82"><label>Shekhar and Boos(2016)</label><mixed-citation>
       Shekhar, R. and Boos, W. R.: Improving Energy-Based
Estimates of Monsoon Location in the Presence of Proximal Deserts, J. Climate,
<a href="https://doi.org/10.1175/JCLI-D-15-0747.1" target="_blank">https://doi.org/10.1175/JCLI-D-15-0747.1</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib83"><label>Shekhar and Boos(2017)</label><mixed-citation>
       Shekhar, R. and Boos, W. R.: Weakening and Shifting of the
Saharan Shallow Meridional Circulation during Wet Years of the West African Monsoon, J. Climate, 30,
7399–7422, <a href="https://doi.org/10.1175/JCLI-D-16-0696.1" target="_blank">https://doi.org/10.1175/JCLI-D-16-0696.1</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib84"><label>Taylor et al.(2017)Taylor, Belusic, Guichard, Arker, Vischel, Bock, Harris, Janicot, Klein, and
Panthou</label><mixed-citation>
       Taylor, C. M., Belusic, D., Guichard, F., Arker, D. J. P., Vischel, T., Bock, O.,
Harris, P. P., Janicot, S., Klein, C., and Panthou, G.: Frequency of extreme Sahelian storms tripled since 1982 in
satellite observations, Nature, 544, 475–478, <a href="https://doi.org/10.1038/nature22069" target="_blank">https://doi.org/10.1038/nature22069</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib85"><label>Thorncroft et al.(2011)Thorncroft, Nguyen, Zhang, and Peyrille</label><mixed-citation>
       Thorncroft, C. D.,
Nguyen, H., Zhang, C., and Peyrille, P.: Annual cycle of the West African monsoon: regional circulations and
associated water vapour transport, Q. J. Roy. Meteor. Soc., 137, 129–147, <a href="https://doi.org/10.1002/qj.728" target="_blank">https://doi.org/10.1002/qj.728</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib86"><label>Ting et al.(2009)Ting, Kushnir, Seager, and Li</label><mixed-citation>
       Ting, M., Kushnir, Y., Seager, R., and
Li, C.: Forced and internal twentieth-century SST trends in the North Atlantic, J. Climate, 22, 1469–1481,
<a href="https://doi.org/10.1175/2008JCLI2561.1" target="_blank">https://doi.org/10.1175/2008JCLI2561.1</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib87"><label>Ting et al.(2011)Ting, Kushnir, Seager, and Li</label><mixed-citation>
       Ting, M., Kushnir, Y., Seager, R., and
Li, C.: Robust features of Atlantic multi-decadal variability and its climate impacts, Geophys. Res. Lett., 38,
L17705, <a href="https://doi.org/10.1029/2011GL048712" target="_blank">https://doi.org/10.1029/2011GL048712</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib88"><label>Villamayor and Mohino(2015)</label><mixed-citation>
       Villamayor, J. and Mohino, E.: Robust Sahel drought
due to the Interdecadal Pacific Oscillation in CMIP5 simulations, Geophys. Res. Lett., 42, 1214–1222,
<a href="https://doi.org/10.1002/2014GL062473" target="_blank">https://doi.org/10.1002/2014GL062473</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib89"><label>Villamayor et al.(2018)Villamayor, Mohino, Khodri, Mignot, and Janicot</label><mixed-citation>
      
Villamayor, J., Mohino, E., Khodri, M., Mignot, J., and Janicot, S.: Atlantic Control of the Late
Nineteenth-Century Sahel Humid Period, J. Climate, 31, 8225–8240, <a href="https://doi.org/10.1175/JCLI-D-18-0148.1" target="_blank">https://doi.org/10.1175/JCLI-D-18-0148.1</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib90"><label>Voldoire et al.(2019)Voldoire, Saint-Martin, Senesi, Decharme, Alias, Chevallier, Colin, Gueremy, Michou,
Moine, Nabat, Roehrig, Salas y Melia, Seferian, Valcke, Beau, Belamari, Berthet, Cassou, Cattiaux, Deshayes,
Douville, Ethe, Franchisteguy, Geoffroy, Levy, Madec, Meurdesoif, Msadek, Ribes, Sanchez-Gomez, Terray, and
Waldman</label><mixed-citation>
       Voldoire, A., Saint-Martin, D., Senesi, S., Decharme, B., Alias, A.,
Chevallier, M., Colin, J., Gueremy, J.-F., Michou, M., Moine, M.-P., Nabat, P., Roehrig, R., Salas y Melia, D.,
Seferian, R., Valcke, S., Beau, I., Belamari, S., Berthet, S., Cassou, C., Cattiaux, J., Deshayes, J., Douville, H.,
Ethe, C., Franchisteguy, L., Geoffroy, O., Levy, C., Madec, G., Meurdesoif, Y., Msadek, R., Ribes, A.,
Sanchez-Gomez, E., Terray, L., and Waldman, R.: Evaluation of CMIP6 DECK Experiments With CNRM-CM6-1,
J. Adv. Model. Earth Sy., 11, 2177–2213, <a href="https://doi.org/10.1029/2019MS001683" target="_blank">https://doi.org/10.1029/2019MS001683</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib91"><label>Wang et al.(2012)Wang, Dong, Evan, Foltz, and Lee</label><mixed-citation>
       Wang, C., Dong, S., Evan, A. T.,
Foltz, G. R., and Lee, S.-K.: Multidecadal covariability of North Atlantic sea surface temperature, African
dust, Sahel rainfall, and Atlantic hurricanes, J. Climate, 25, 5404–5415, <a href="https://doi.org/10.1175/JCLI-D-11-00413.1" target="_blank">https://doi.org/10.1175/JCLI-D-11-00413.1</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib92"><label>Wang et al.(2004)Wang, Eltahir, Foley, Pollard, and Levis</label><mixed-citation>
       Wang, G., Eltahir, E. A. B.,
Foley, J. A., Pollard, D., and Levis, S.: Decadal variability of rainfall in the Sahel: results from the coupled
GENESIS-IBIS atmosphere-biosphere model, Clim. Dynam., 22, 625–637, <a href="https://doi.org/10.1007/s00382-004-0411-3" target="_blank">https://doi.org/10.1007/s00382-004-0411-3</a>, 2004.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib93"><label>Watanabe and Tatebe(2019)</label><mixed-citation>
       Watanabe, M. and Tatebe, H.: Reconciling roles of
sulphate aerosol forcing and internal variability in Atlantic multidecadal climate changes, Clim. Dynam., 53,
4651–4665, <a href="https://doi.org/10.1007/s00382-019-04811-3" target="_blank">https://doi.org/10.1007/s00382-019-04811-3</a>, 2019.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib94"><label>Williams et al.(2018)Williams, Copsey, Blockley, Bodas-Salcedo, Calvert, Comer, Davis, Graham, Hewitt, Hill,
Hyder, Ineson, Johns, Keen, Lee, Megann, Milton, Rae, Roberts, Scaife, Schiemann, Storkey, Thorpe, Watterson,
Walters, West, Wood, Woollings, and Xavier</label><mixed-citation>
       Williams, K. D., Copsey, D., Blockley, E. W.,
Bodas-Salcedo, A., Calvert, D., Comer, R., Davis, P., Graham, T., Hewitt, H. T., Hill, R., Hyder, P., Ineson, S.,
Johns, T. C., Keen, A. B., Lee, R. W., Megann, A., Milton, S. F., Rae, J. G. L., Roberts, M. J., Scaife, A. A.,
Schiemann, R., Storkey, D., Thorpe, L., Watterson, I. G., Walters, D. N., West, A., Wood, R. A., Woollings, T., and
Xavier, P. K.: The Met Office Global Coupled Model 3.0 and 3.1 (GC3.0 and GC3.1) Configurations,
J. Adv. Model. Earth Sy., 10, 357–380, <a href="https://doi.org/10.1002/2017MS001115" target="_blank">https://doi.org/10.1002/2017MS001115</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib95"><label>WMO(2024)</label><mixed-citation>
       WMO: Guide to Instruments and Methods of Observation. Volume I –
Measurement of Meteorological Varibles, WMO-No. 8, WMO, Geneva, Switzerland,
<a href="https://library.wmo.int/idurl/4/41650" target="_blank"/>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib96"><label>Xue et al.(2022)Xue, Wang, Yu, Li, Sun, and Mao</label><mixed-citation>
       Xue, J., Wang, B., Yu, Y., Li, J.,
Sun, C., and Mao, J.: Multidecadal variation of northern hemisphere summer monsoon forced by the SST
inter-hemispheric dipole, Environ. Res. Lett., 17, 044033, <a href="https://doi.org/10.1088/1748-9326/ac5a65" target="_blank">https://doi.org/10.1088/1748-9326/ac5a65</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib97"><label>Zhang et al.(2021)Zhang, Liu, Sun, Li, Ding, Xie, Xie, Zhang, and Gong</label><mixed-citation>
       Zhang, J.,
Liu, Y., Sun, C., Li, J., Ding, R., Xie, F., Xie, T., Zhang, Y., and Gong, Z.: On the connection between AMOC and
observed land precipitation in Northern Hemisphere: a comparison of the AMOC indicators, Clim. Dynam., 56,
651–664, <a href="https://doi.org/10.1007/s00382-020-05496-9" target="_blank">https://doi.org/10.1007/s00382-020-05496-9</a>, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib98"><label>Zhang and Delworth(2006)</label><mixed-citation>
       Zhang, R. and Delworth, T. L.: Impact of Atlantic multidecadal
oscillations on India/Sahel rainfall and Atlantic hurricanes, Geophys. Res. Lett., 33, L17712,
<a href="https://doi.org/10.1029/2006GL026267" target="_blank">https://doi.org/10.1029/2006GL026267</a>, 2006.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib99"><label>Zhang et al.(2019)Zhang, Sutton, Danabasoglu, Kwon, Marsh, Yeager, Amrhein, and Little</label><mixed-citation>
      
Zhang, R., Sutton, R., Danabasoglu, G., Kwon, Y.-O., Marsh, R., Yeager, S. G., Amrhein, D. E., and Little, C. M.: A
Review of the Role of the Atlantic Meridional Overturning Circulation in Atlantic Multidecadal
Variability and Associated Climate Impacts, Rev. Geophys., 57, 316–375, <a href="https://doi.org/10.1029/2019RG000644" target="_blank">https://doi.org/10.1029/2019RG000644</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib100"><label>Zhang et al.(2022)Zhang, Stier, Dagan, and Wang</label><mixed-citation>
       Zhang, S., Stier, P., Dagan, G.,
and Wang, M.: Anthropogenic Aerosols Modulated 20th-Century Sahel Rainfall Variability Via Their
Impacts on North Atlantic Sea Surface Temperature, Geophys. Res. Lett., 49, e2021GL095629,
<a href="https://doi.org/10.1029/2021GL095629" target="_blank">https://doi.org/10.1029/2021GL095629</a>, 2022.

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