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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-26-5861-2026</article-id><title-group><article-title>A dipole pattern of orbital-scale precipitation oxygen isotope variation in North African monsoon region and the driving mechanism</article-title><alt-title>Orbital-scale precipitation oxygen isotope dipole in North Africa</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Ji</surname><given-names>Chengwei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2">
          <name><surname>Wen</surname><given-names>Qin</given-names></name>
          <email>qin.wen2@njnu.edu.cn</email>
        <ext-link>https://orcid.org/0000-0003-0858-3864</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Liu</surname><given-names>Zhengyu</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4554-2666</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff4">
          <name><surname>Liu</surname><given-names>Jian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5772-7065</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Chen</surname><given-names>Deliang</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0288-5618</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Ning</surname><given-names>Liang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Yan</surname><given-names>Mi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4730-3781</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Yin</surname><given-names>Qiuzhen</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7189-8335</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>State Key Laboratory of Climate System Prediction and Risk Management, Key Laboratory for Virtual Geographic Environment of Ministry of Education, Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application, Nanjing, 210023, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Geography, Nanjing Normal University, Nanjing, 210023, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Geography, Ohio State University, Columbus, OH 43210, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Jiangsu Provincial Key Laboratory for Numerical Simulation of Large-Scale Complex Systems, School of Mathematical Science, Nanjing Normal University, Nanjing, 210023, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Earth System Science, Tsinghua University, Beijing, 100084, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Earth and Climate Research Center, Earth and Life Institute, Université catholique de Louvain, 1348, Louvain-la-Neuve, Belgium</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Qin Wen (qin.wen2@njnu.edu.cn)</corresp></author-notes><pub-date><day>30</day><month>April</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>8</issue>
      <fpage>5861</fpage><lpage>5878</lpage>
      <history>
        <date date-type="received"><day>12</day><month>October</month><year>2025</year></date>
           <date date-type="rev-request"><day>26</day><month>November</month><year>2025</year></date>
           <date date-type="rev-recd"><day>2</day><month>March</month><year>2026</year></date>
           <date date-type="accepted"><day>9</day><month>April</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Chengwei Ji 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://acp.copernicus.org/articles/26/5861/2026/acp-26-5861-2026.html">This article is available from https://acp.copernicus.org/articles/26/5861/2026/acp-26-5861-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/5861/2026/acp-26-5861-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/5861/2026/acp-26-5861-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e180">On orbital timescales, the North African (NAF) monsoon variability is featured by dramatic fluctuations between wet and dry periods, which have played a significant role in early human migration and the development of agricultural civilizations. However, the spatial patterns of hydroclimate response, particularly changes in rainfall and precipitation oxygen isotopes (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub>) remain poorly constrained due to the scarcity of proxy records. Here, we use the isotope-enabled Community Earth System Model (iCESM) to investigate the spatial-temporal variations of both rainfall and <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> across the NAF region (15° W–35° E, 8° N–25° N) on orbital timescales. Our analysis shows that both <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> and rainfall exhibit a clear precessional signal. Enhanced Northern Hemisphere summer insolation (NHSI) intensifies land-sea thermal contrast, thereby strengthening monsoon circulation and leading to widespread increases in monsoon rainfall. In contrast, <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> presents a spatially dipole pattern, with depletion in the southern NAF (15° W–35° E, 8° N–17° N) and enrichment in the northern part (15° W–35° E, 17° N–25° N). Tagging experiments further reveal that the depletion in the south is primarily driven by en route depletion resulting from rainout process along air mass trajectories over the African continent, whereas enrichment in the north results from shifts in moisture sources, with a reduced contribution from distant sources and an increased influence of local sources. This work advances our understanding of past hydroclimate variability in the NAF region, while also highlighting the challenges associated with reconstructing past variations in the distribution of <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> based on discrete site data.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42575051</award-id>
<award-id>42130604</award-id>
<award-id>42575050</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Key Research and Development Program of China</funding-source>
<award-id>2023YFF0804700</award-id>
</award-group>
<award-group id="gs3">
<funding-source>State Key Laboratory of Loess and Quaternary Geology</funding-source>
<award-id>SKLLQG2202</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="d2e293">The North African (NAF) monsoon region (15° W–35° E, 8° N–25° N) is one of the most vulnerable hotspots under climate change (Lézine et al., 2011). Monsoon variability in this region exerts substantial environmental and socioeconomic effects, particularly across Sahelian countries where economies rely heavily on rainfed agriculture (Sultan et al., 2005; Sultan and Gaetani, 2016). On orbital timescales, the NAF region is highly sensitive to orbital forcing and has experienced dramatic fluctuations between wet and dry periods (deMenocal, 2004; deMenocal and Tierney, 2012; Ehrmann et al., 2017; Kutzbach et al., 2020). These changes not only drive the early human migration to the Nile Basin and the rise of agricultural civilization (McDougall et al., 2005; Vaks et al., 2007; Kutzbach et al., 2020), but also have profound impacts on Asian monsoon, ENSO activity, and even the polar ice sheets through atmospheric teleconnections (Muschitiello et al., 2015; Pausata et al., 2020). Given the important role of NAF monsoon in the global climate change, a clear understanding of its past evolution is critical for improving predictions of its future behavior.</p>
      <p id="d2e296">Numerous modeling studies have been conducted extensively to investigate the NAF monsoon variability on orbital timescales. For example, Kutzbach and Liu (1997) conducted Mid-Holocene (6 ka BP) simulations with a general circulation model that asynchronously couples the atmosphere and the ocean. Their simulations show that increased insolation induces an intensified land-sea thermal contrast and enhanced summer monsoon rainfall. Similarly, Tuenter et al. (2003) used an Earth system model of intermediate complexity (ECBilt) to analyze orbital-scale signals over Africa. They demonstrated that a stronger and more northward monsoon over NAF occurs at times of minimum precession or maximum obliquity, when boreal summer insolation is high. This rainfall enhancement was attributed to a stronger land-sea thermal contrast, intensified low-level monsoonal circulation, and increased moisture transport. Similar results were also found in Bosmans et al. (2015) using the EC-Earth model. To further explore the evolution of the NAF monsoon, Kutzbach et al. (2020) performed transient simulations covering the past 140 000 years using a dynamic atmosphere-ocean general circulation model with higher resolution. Their simulations showed that orbital precession causes high seasonality in Northern Hemisphere (NH) insolation, with stronger and northward extended summer monsoon rainfall and increased winter rains in the Mediterranean Basin. These combined effects increased vegetation and narrowed the width of the Saharan-Arabian desert. Overall, the NAF monsoon rainfall has been extensively studied.</p>
      <p id="d2e299">In contrast, the precipitation oxygen isotope (<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> has received comparatively less attention, largely because earlier models lacked coupled water isotope modules. Given that most proxy reconstructions are made using measurements of isotopic ratios in natural archives such as ice cores, speleothems and corals (Wang et al., 2001; Bar-Matthews et al., 2003; Cruz et al., 2005; Cheng et al., 2013), a more comprehensive understanding of the controls on isotope ratios is critical in paleoclimate research. In the context of North Africa, past hydrological variations have been inferred from <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O signal of speleothem calcite (<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from caves in Israel (Bar-Matthews et al., 2003). The <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> in Israel serves as an indicator of past NAF monsoon variability, as wet or dry conditions in the NAF region are propagated to the Mediterranean Sea through Nile River and subsequently influence the isotopic composition of cave carbonates in Israel. This <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> shows a strong precessional signal, with the enhanced Northern Hemisphere summer insolation (NHSI) corresponding to a depleted <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O value, indicating an enhanced NAF rainfall (Bar-Matthews et al., 2003; Brahim et al., 2023). This is consistent with other moisture-related proxies from lakes (Kohfeld and Harrison, 2000; Armitage et al., 2015), terrigenous sediment (deMenocal et al., 2000; Revel et al., 2010; Ehrmann et al., 2016; Skonieczny et al., 2019; Blanchet et al., 2021), and pollen (Lézine et al., 2005; Fersi et al., 2016), showing that a higher NHSI corresponds to stronger NAF rainfall. Therefore, a major feature of the isotopic composition of precipitation in NAF region is the anticorrelation between the amount of precipitation and the proportion of heavier isotopes in the precipitation, called the “amount effect” (Dansgaard, 1964).</p>
      <p id="d2e411">However, it is still unclear whether the NAF <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> signal responds primarily to changes in local rainfall or is controlled by other factors. This question arises because a growing number of studies have shown that many factors other than local rainfall amount can affect <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub>, including changes in the relative contribution of moisture sources (Cole et al., 1999; Vuille et al., 2003), isotope composition during convective activity such as sub-cloud evaporation and diffusive exchanges between raindrops and the surrounding vapor (Lee and Fung, 2007; Risi et al., 2008; Kurita, 2013; Moore et al., 2014), and upstream rainfall effects (Lee et al., 2009; Pausata et al., 2011; Liu et al., 2014; Shi et al., 2025). These factors may contribute to isotope variations, thereby complicating the interpretation of isotope data in paleoclimate.</p>
      <p id="d2e455">Over the past few decades, isotope-enabled models have evolved as valuable and well-established tools for improving our understanding of the relationship between water isotopes and climate variables. However, there are still controversies regarding the spatial patterns of <inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> and its forcing mechanisms over the NAF region. Herold and Lohmann (2009), using an isotope-enabled General Circulation Model (ECHAM4), identified a dipole pattern in <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> across NAF, characterized by enrichment in the west and depletion in the east. They attributed western enrichment to reduced upstream rainfall depletion from Atlantic, and eastern depletion to increased local rainfall and enhanced moisture transport from the Atlantic. A similar dipole structure was later reported by Battisti et al. (2014) using the same model. Nonetheless, this west-east dipole structure has been challenged by subsequent studies showing a spatially coherent depletion pattern across the NAF region. For example, Cauquoin et al. (2019) have demonstrated a clear “amount effect” across the NAF monsoon region, with significant <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> depletion coinciding with increased monsoon rainfall. This finding is further supported by Shi et al. (2023). More recently, Shi et al. (2025) examined both spatial and temporal variations in rainfall and <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> based on 24 time-slice experiments spanning a full precession cycle. Their results reveal widespread <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> depletion throughout North Africa, but also identify a positive temporal <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub>-rainfall relationship in certain inland areas, contrast to the classical “amount effect”. In these regions, the authors propose that <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> variability is influenced mainly by rainfall changes in upstream areas rather than local rainfall. Therefore, despite growing efforts to simulate <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub>, spatial distribution and interpretations remain inconsistent across different modeling studies.</p>
      <p id="d2e620">In this study, we use the isotope-enabled fully coupled Community Earth System Model (iCESM; Brady et al., 2019) developed by the National Center for Atmospheric Research (NCAR) to perform transient simulations for the past 150 000 years. In addition, we perform moisture tagging experiments to track moisture sources for precipitation and to investigate the corresponding <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> response. We aim to answer the following central questions: How do monsoon rainfall and <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> respond to insolation on orbital timescales in NAF region? Do they exhibit spatially coherent patterns? And what is the climatic significance of <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> in NAF region? The paper is arranged as follows. Section 2 describes the Data and methods; Sect. 3 presents the Data-model comparison; Sects. 4 and 5 discuss the mechanisms underlying rainfall and <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> changes, respectively; and Sect. 6 provides the Conclusions.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>The 150 000-year simulation</title>
      <p id="d2e720">In this study, the isotope-enabled Community Earth System Model (iCESM) is employed, which has active atmosphere, land, ocean, river transport, and sea ice component models linked through a coupler (Brady et al., 2019). We use the version 1.3 of iCESM, with a resolution of f19_g16. The atmosphere component model is the CAM5.3, which has a horizontal resolution of 1.9° <inline-formula><mml:math id="M49" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2.5° (latitude <inline-formula><mml:math id="M50" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> longitude) and 30 hybrid vertical levels (Neale et al., 2010). The land component is the CLM4, which shares the same horizontal grid as the atmosphere model (Oleson et al., 2010). The ocean and sea ice components are the POP2 and CICE4. POP2 and CICE4 here use a common grid of 320 <inline-formula><mml:math id="M51" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 384, a displaced-pole grid with poles in Greenland and Antarctica, and a nominal 1° resolution with enhancement near the equator and in the North Atlantic. The POP2 has 60 vertical layers (Smith et al., 2010; Hunke, 2010). Water isotope ratios, and the associated fluxes and isotopic fractionations, are tracked in all of the components of the hydrologic cycle: atmospheric water vapor and clouds, soil moisture and other land surface water pools, oceans, and sea ice. The iCESM has been successfully applied in multi-scale climate studies to investigate mechanisms linking the hydrological cycle and isotopic signals (Tabor et al., 2018; Hu et al., 2019; He et al., 2021; Bao et al., 2023; Wen et al., 2024). It has been shown to adequately capture key features of <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub>, albeit with a weaker amplitude compared to observations (Brady et al., 2019; Nusbaumer et al., 2017; Wen et al., 2024).</p>
      <p id="d2e764">We conduct a 150 000-year transient simulation that is driven solely by variations in Earth's orbital parameters (i.e., precession, obliquity, and eccentricity; Berger, 1978). All other boundary conditions, such as greenhouse gas concentrations, ice sheet extent, and vegetation distribution, are held constant at pre-industrial levels (Wen et al., 2024). Although the ignorance of vegetation and dust feedbacks over the NAF region tends to suppress the magnitude of changes in rainfall and <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> values (Waldmann et al., 2010; Pausata et al., 2016; Tierney et al., 2017a; Messori et al., 2019; Tabor et al., 2020), the orbital-forcing experiment still captures the dominant precessional signal and the overall phase of regional climate change (Pokras and Mix, 1987; Patricola and Cook, 2007; Weber and Tuenter, 2011; Roe et al., 2016; Cheng et al., 2020). This is sufficient for the purpose of this study.</p>
      <p id="d2e787">The experiment starts 170 000 years ago with the last 150 000 years used for analysis. Due to the limitation of computational resources, the experiment is accelerated by 100-time to improve efficiency. That is, at the end of each year's simulation, we advance the orbital parameters by 100 years, so the actual length of our simulation is 1500 years. This acceleration scheme is suitable for the monsoon analysis, given that the response time of the atmosphere-upper ocean system is much faster than the shortest orbital cycle (Kutzbach et al., 2008; Wen et al., 2024). The previous analysis shows that the acceleration method leads to a delayed response only in the deep-ocean temperature, but has little impact on the near-surface quantities like temperature and precipitation (Lorenz and Lohmann, 2004; Timm and Timmermann, 2007; Yin and Berger, 2015). Since this study focuses on surface ocean-atmospheric conditions, the 100-factor acceleration scheme would not affect the conclusions regarding the NAF region.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Calculation of water isotopes from iCESM simulation</title>
      <p id="d2e798">Since the observed speleothem isotope records reflect the combined influence of moisture from all seasons, the annual <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> are calculated using the precipitation-weighted <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O from 12 months following the previous works (Tabor et al., 2018; He et al., 2021):

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M59" display="block"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">12</mml:mn></mml:msubsup><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M60" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula> denotes the calendar month, <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represent the precipitation and <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in precipitation from the <inline-formula><mml:math id="M64" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>th month output by the model, respectively. <inline-formula><mml:math id="M65" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> is the annual total precipitation.</p>
      <p id="d2e946">In order to directly compare our simulations with the observed calcite speleothem records of <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub>, we need to get simulated <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> from the simulated <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub>. First, we need to convert the simulated <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> from the V-SMOW scale (Vienna-Standard Mean Ocean Water; <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M75" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">SMOW</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> to the PDB scale (Pee Dee Belemnite; <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">PDB</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> following Coplen et al. (1983):

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M78" display="block"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">PDB</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.97002</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">SMOW</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">29.98</mml:mn><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          Then, we get the simulated <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> following O'Neil et al. (1969):

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M81" display="block"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi mathvariant="normal">c</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="normal">PDB</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.70</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup><mml:mrow><mml:mfenced open="/" close=""/></mml:mrow><mml:msup><mml:mi>T</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3.29</mml:mn><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M82" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> represents the absolute cave temperature. Since this temperature approximately equals the annual mean surface air temperature at the cave site (Fairchild et al., 2012), the model annual mean surface air temperature from the corresponding model grid is used for calculation.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Tagging experiments</title>
      <p id="d2e1228">In order to quantify the changes in moisture sources of <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> in the NAF monsoon region between high and low NHSI periods, two water tagging experiments are carried out at the times of 127 ka (high NHSI periods) and 116 ka (low NHSI periods) using the atmospheric model iCAM5.3. These two time slices correspond to the period of greatest changes in solar insolation across the past 150 000 years. The external forcing in both tagging experiments is based on the orbital parameters specific to their respective periods. The boundary conditions and sea surface isotope ratios are derived from 1000-year climatological mean states corresponding to each period, from the coupled iCESM simulation. The experiments can track water vapor evaporating from the source regions until they follow the hydrological processes in the model to the region where they rain out (sink region). Following Wen et al. (2024), the global source regions have been divided into 25 subregions, with 13 covering the ocean and the rest covering the land (see Fig. A1 in the Appendix). Each tagging experiment is run for 40 years, with the last 20 years used for analysis.</p>
      <p id="d2e1251">Here, the original 25 source regions are grouped into five broader regions for simplicity (Fig. A1): the African continent (AFR), the South Atlantic Ocean (EQA<inline-formula><mml:math id="M85" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>SSA), the Indian Ocean (EQI<inline-formula><mml:math id="M86" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>SSI), the North Atlantic Ocean (NNA<inline-formula><mml:math id="M87" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>SNA), and the rest of the globe. This regrouping is based on their proximity to the NAF region and their relevance as primary contributors to precipitation patterns over NAF region. For the mean climate state, the African continent, the South Atlantic, the Indian Ocean, and the North Atlantic contribute approximately 39.5 %, 22.5 %, 16 %, and 15 % to NAF rainfall, respectively (Table A1). Collectively, these four regions account for 93 % of the total NAF rainfall. Thus, the rainfall and <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> at a grid point are the sums from all five source regions:

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M90" display="block"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">5</mml:mn></mml:msubsup><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">5</mml:mn></mml:msubsup><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> represent the rainfall and <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> from the <inline-formula><mml:math id="M95" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>th tagging source region, respectively.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Decomposition of <inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub></title>
      <p id="d2e1458">The response of <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> between high and low NHSI periods, <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub>_high <inline-formula><mml:math id="M103" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub>_low, can be decomposed in two steps. In the first step, <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> is decomposed into two terms: the response induced by the changes in precipitation weight <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfenced close=")" open="("><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></inline-formula> and the response induced by the changes in isotope ratio <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>:

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M110" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">5</mml:mn></mml:msubsup><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow><mml:mn mathvariant="normal">5</mml:mn></mml:msubsup><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          The term in left-hand side is plotted in Fig. 7b, and two terms in right-hand side of Eq. (5) are plotted in Fig. 8a and d.</p>
      <p id="d2e1727">In the second step, the <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> can be further decomposed into three terms following Tabor et al. (2018) in Eq. (6). The first term denotes the changes in vapor <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the source region, which is produced by the net effect of local rainfall and evaporation at the source region. The second term denotes the changes in en route depletion of vapor <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> due to rainout along its trajectory from the source region to the sink region. The third term denotes the changes in local condensation enrichment due to the transition from vapor to rainfall in the sink region, along with any post-condensation processes such as rain evaporation. These terms are written as follows:

            <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M114" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">v</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">source</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">v</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">sink</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">v</mml:mi><mml:mo>,</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">source</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mfenced open="(" close=")"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">sink</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">v</mml:mi><mml:mo>,</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="normal">sink</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mi>i</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          The three processes are displayed in Fig. 8e–g.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Moist static energy budget</title>
      <p id="d2e1944">The column-integrated moist static energy (MSE) budget is used to accurately calculate the energy changes in the atmosphere column and to better understand the mechanisms of rainfall changes in the monsoon region. The MSE balance equation is referenced from Hill et al. (2017) and Wen et al. (2022).

            <disp-formula id="Ch1.E7" content-type="numbered"><label>7</label><mml:math id="M115" display="block"><mml:mrow><mml:mfenced open="{" close="}"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="italic">ω</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>∂</mml:mo><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mo>∂</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mo>≈</mml:mo><mml:msub><mml:mover accent="true"><mml:mi>F</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="normal">net</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mfenced open="{" close="}"><mml:mrow><mml:mover accent="true"><mml:mi>v</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">p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mfenced open="{" close="}"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mover accent="true"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mi>v</mml:mi><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup><mml:mi>h</mml:mi><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mo>-</mml:mo><mml:mfenced open="{" close="}"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mfenced close="}" open="{"><mml:mo>⋅</mml:mo></mml:mfenced><mml:mo>=</mml:mo><mml:msubsup><mml:mo>∫</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:msubsup><mml:mo>⋅</mml:mo><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>p</mml:mi></mml:mrow><mml:mi>g</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></inline-formula> denotes the column integration from the surface <inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> to the top of the atmosphere. <inline-formula><mml:math id="M118" display="inline"><mml:mi>h</mml:mi></mml:math></inline-formula> represents the MSE: <inline-formula><mml:math id="M119" 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:mi>g</mml:mi><mml:mi>z</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi>v</mml:mi></mml:msub><mml:mi>q</mml:mi></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the net energy flux into the atmosphere column, which is calculated as the net radiation flux at the top of atmosphere (TOA) minus the net radiation flux at the surface. The net radiation flux at TOA <inline-formula><mml:math id="M121" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> net shortwave <inline-formula><mml:math id="M122" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> net longwave. The net radiation flux at the surface <inline-formula><mml:math id="M123" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> net shortwave <inline-formula><mml:math id="M124" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> net longwave <inline-formula><mml:math id="M125" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> sensible heat <inline-formula><mml:math id="M126" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula> latent heat. Overbars are the monthly mean and primes are the transient eddy. Based on this equation, the vertical advection of MSE (<inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:mfenced open="{" close="}"><mml:mrow><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 mathvariant="normal">p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>) can be inferred from the sum of the net energy flux into the atmosphere column (<inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), horizontal advection (<inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mfenced open="{" close="}"><mml:mrow><mml:mover accent="true"><mml:mi>v</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">p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, and transient eddy activity (<inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:mfenced open="{" close="}"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mover accent="true"><mml:mrow><mml:mfenced open="(" close=")"><mml:mrow><mml:mi>v</mml:mi><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup><mml:mi>h</mml:mi><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>). Note that the <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mfenced open="{" close="}"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi>t</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula> is very small in the equilibrium state, so we neglect it in the following analysis. The transient eddy term is calculated as a residual from the atmospheric energy budget. The vertical integral of MSE stratification in the troposphere (<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mo>∂</mml:mo><mml:mi mathvariant="normal">p</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>) is mostly negative in pressure coordinate. Therefore, the inferred positive vertical MSE advection (<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:mfenced close="}" open="{"><mml:mrow><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 mathvariant="normal">p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) corresponds to ascending vertical motion (<inline-formula><mml:math id="M134" display="inline"><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="italic">ω</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>) and thus the intense precipitation, and vice versa (Chen and Bordoni, 2014).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Data-model comparison</title>
      <p id="d2e2370">The iCESM effectively captures the key features of modern NAF climate and <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> (Fig. 1). Specifically, a low-level southwesterly flow transports humid air from the equatorial Atlantic to the African continent and converges with dry air from the Sahara, leading to heavy rainfall in the Sahel and its southern areas (Fig. 1a) (Sultan and Janicot, 2003; Rose et al., 2016; Selami et al., 2021; Datti et al., 2025). These features generally align with modern observations (Fig. 1b) and other model simulations (Cook and Vizy, 2019; Shi et al., 2024). The simulated NAF <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> shows a more enriched values in the Sahel regions due to their proximity to the moisture source region over the tropical Atlantic Ocean, and more depleted values farther inland, as the air masses undergo repeated condensation and rainfall cycles during their movement toward the continental interior (shading in Fig. 1c) (Shi et al., 2023). This simulated pattern generally agrees with observations from the Global Network of Isotopes in Precipitation (GNIP) (circles in Fig. 1c) and other climate models (Cauquoin et al., 2019; Shi et al., 2023, 2025), although the model exhibits more negative values compared to the GNIP data (Fig. 1d).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e2415">Modern climatology of the North Africa (NAF) summer monsoon and <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub>. <bold>(a)</bold> Simulated boreal summer (JJA) rainfall (shading; mm d<inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and 900 hPa wind (vector; m s<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. <bold>(b)</bold> Same as <bold>(a)</bold> but for observation during 1940–2024 from ERA5 (<uri>https://cds.climate.copernicus.eu/</uri>, last access: October 2025). <bold>(c)</bold> Simulated annual precipitation-weighted <inline-formula><mml:math id="M143" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> (shading; ‰) and observed <inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> from GNIP (<uri>https://nucleus.iaea.org/wiser/explore/</uri>, last access: October 2025) (circle; ‰). <bold>(d)</bold> Point-to-point scatter plot of observed GNIP <inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> versus model-simulated <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub>. The simulated data is averaged over the last 1000 years (1 ka-0) of the transient simulation. In <bold>(a)</bold>–<bold>(c)</bold>, the black rectangle region (15° W–35° E, 8° N–25° N) is the study area of the NAF monsoon and is used for subsequent regional averaging. The blue curve plots the African Nile River. The red triangles mark the locations of the proxy sites in Fig. 2.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5861/2026/acp-26-5861-2026-f01.png"/>

      </fig>

      <p id="d2e2584">Moreover, our simulations can well reproduce the NAF monsoon evolution during the past 150 000 years (Fig. 2). In this work, the NAF monsoon region is defined as 8° N to 25° N and 15° W to 35° E, which is denoted as black box in Fig. 1 following Wen et al. (2022). The simulated <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> varies in phase with NHSI, exhibiting strong precessional signal (orange line in Fig. 2b). Specifically, higher NHSI corresponds to more depleted <inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> values. This is in agreement with observed <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> records from Soreq and Peqiin caves (black and grey lines in Fig. 2b), although the simulated amplitude is smaller than that in the reconstructions. It should be noted that although the Soreq and Peqiin caves are located outside the defined NAF monsoon region, their <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> records primarily reflect hydroclimate changes over the NAF monsoon region. This is because the hydroclimate signal from the NAF monsoon region can be transmited to the Eastern Mediterranean Sea through Nile River discharge, where it is recorded in both seawater <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and speleothem <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> (Ayalon et al., 2002; Bar-Matthews et al., 2003; Rohling et al., 2015).</p>

      <fig id="F2"><label>Figure 2</label><caption><p id="d2e2702">Data-model comparison. <bold>(a)</bold> Northern Hemisphere summer insolation (NHSI) at 30° N (red; W m<inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and Precession parameter (grey; Berger, 1978). <bold>(b)</bold> Simulated-<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> derived from simulated-<inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> (see Sect. 2.2 for details) in the NAF region (orange; ‰) and observed <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> records from Soreq Cave (black; ‰) and Peqiin Cave (grey; ‰), Israel (Bar-Matthews et al., 2003). <bold>(c)</bold> Simulated NAF rainfall (green; mm d<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and color reflectance (black; %) at 540 nm from ODP Site 968, Mediterranean (Ziegler et al., 2010). The correlation coefficient calculated for simulated-<inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> and simulated rainfall is <inline-formula><mml:math id="M172" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.82.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5861/2026/acp-26-5861-2026-f02.png"/>

      </fig>

      <p id="d2e2839">Additionally, our simulations show an increased rainfall when NHSI is high (green line in Fig. 2c), which is consistent with rainfall records from ODP Site 968 (organic-rich layers, i.e., 540 nm reflectance in Fig. 2d; Ziegler et al., 2010). The sapropel layers in this sediment core reflect deep-water anoxia and increased primary productivity, which is mainly related to the increased run-off inputs into the eastern Mediterranean driven by the NAF monsoon-induced continental rainfall (Ziegler et al., 2010; deMenocal and Tierney, 2012; Grant et al., 2016, 2017). The appearance of the sapropel layers corresponds to the intensification of the NAF monsoon rainfall.</p>
      <p id="d2e2842">Therefore, the high NHSI corresponds to regional averaged lower <inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> values and higher rainfall, exhibiting a strong negative correlation between the two variables (<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.82</mml:mn></mml:mrow></mml:math></inline-formula>; Fig. 2). This relationship is consistent with the “amount effect” in terms of the statistical relationship. Notably, a strong precession cycle is evident in summer insolation at 30° N (Berger and Pestiaux, 1984; Berger et al., 1993), as well as in both rainfall and <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub>. These findings point out that the <inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> and rainfall variations are highly sensitive to precession-driven insolation changes, emphasizing the importance of precessional forcing in shaping low-latitude climate dynamics.</p>
      <p id="d2e2920">We further examine the coherent spatial-temporal response of rainfall and water isotope by conducting Multivariate Empirical Orthogonal Function (MVEOF) analysis. Previous studies have shown that the <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> plays a dominant role in determining the speleothem <inline-formula><mml:math id="M182" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> (Cheng et al., 2012, 2016; Liu and Battisti, 2015). Therefore, for simplicity, we subsequently use <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> for further analyses. The results show that the explained variance of the first MVEOF mode accounts for 35 % of the total variance, with the time coefficient following NHSI and exhibiting a strong precessional signal (Fig. 3a).</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2986">The general pattern of <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> and NAF summer climate change during the past 150 000 years. <bold>(a)</bold> Normalized principal component time series (black) of the first MVEOF mode (PC1; explained 35.6 % of the total variance) between summer rainfall and <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> and NHSI (red; W m<inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The red circles represent the high and low NHSI periods used in the following composite analysis in Fig. 4 and 5. <bold>(b)</bold> Surface temperature (shading; K) and sea level pressure (contour; Pa) regressed on the normalized time coefficient of PC1 [black in <bold>(a)</bold>]. The solid (dashed) contours denote positive (negative) values. <bold>(c)</bold> As in <bold>(b)</bold> but for rainfall (shading; mm d<inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and 900 hPa wind (vector; m s<inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. <bold>(d)</bold> As in <bold>(b)</bold> but for surface moist static energy (MSE) (shading; J m<inline-formula><mml:math id="M193" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and atmospheric precipitable water (contour; kg m<inline-formula><mml:math id="M194" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. <bold>(e)</bold> As in <bold>(b)</bold> but for precipitation-weighted <inline-formula><mml:math id="M195" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> (shading; ‰). The black rectangle is the NAF monsoon region.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5861/2026/acp-26-5861-2026-f03.png"/>

      </fig>

      <p id="d2e3161">Spatial analysis reveals that NHSI induces a spatially homogeneous rainfall response across the NAF region (Fig. 3c). Physically, when the NHSI is high, there is a dramatic warming over the Eurasian continent, which triggers the anomalous low-pressure over the continent and enhances the land-sea thermal contrast (Fig. 3b). This strengthens southwesterly winds that transport moisture from the equatorial Atlantic into Africa, resulting in pronounced vapor convergence over the Sahara-Sahel region (Fig. 3c, d). Concurrently, increased surface MSE destabilizes the atmospheric column, promoting upward vertical motion (Patricola and Cook, 2007; Roe et al., 2016). Together, these processes enhance deep convection and significantly increase rainfall across the NAF monsoon region (Fig. 3c). Additionally, the increased cloud formation and rainfall cause a pronounced cooling between 10° N and 20° N, consistent with previous findings (Patricola and Cook, 2007; Herold and Lohmann, 2009; Marzocchi et al., 2015; Wen et al., 2022). Despite this cooling, Patricola and Cook (2007) suggest that elevated low-level moisture content dominates the MSE change, further destabilizing the atmospheric column and reinforcing convection. Thus, although surface temperatures decrease in this latitudinal band (Fig. 3b), MSE continues to rise due to increased humidity, which is sufficient to sustain deep convection (Fig. 3d). A strengthened NAF monsoon also weakens the northeasterly winds over the Sahara (Fig. 3c). This is consistent with the dust records observed in Atlantic sediment cores located offshore at the NAF continent (Skonieczny et al., 2019; O'Mara et al., 2022; Crocker et al., 2022). Furthermore, orbitally forced land warming amplifies the interhemispheric temperature gradient, shifting the ITCZ northward (Schneider et al., 2014; Fig. 4). This shift extends monsoon rainfall farther north and contracts the Saharan arid belt (Fig. 3c).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e3166">Changes in model rainfall and ITCZ position during boreal summer between high and low NHSI periods. <bold>(a)</bold> Changes in summer rainfall (shading; mm d<inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The contours denote the ITCZ position, which is defined as the latitude of the precipitation centroid between 30° N and 30° S following Voigt et al. (2016). The red contour is for high NHSI periods, and the blue contour is for low NHSI periods. <bold>(b)</bold> Seasonal latitudinal shifts of the area-averaged ITCZ position over the longitude range of 15° W–35° E. Compared to the low NHSI periods, the ITCZ shifts northward by an average of 2.3° during the high NHSI periods.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5861/2026/acp-26-5861-2026-f04.png"/>

      </fig>

      <p id="d2e3196">Since the observed <inline-formula><mml:math id="M198" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> records evolves coherently with the NAF monsoon rainfall as in “amount effect” (Fig. 2b, c), one may expect a spatially uniformly distributed <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> response to insolation forcing similar to rainfall response (Fig. 3c). However, the simulated <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> exhibits a dipole response with increasing in the northern NAF but decreasing in the southern part (Fig. 3e). This pattern shows a positive correlation with rainfall in the north but a negative correlation in the south. This implies the complex regional response of <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> to external forcing.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Mechanism of rainfall change</title>
      <p id="d2e3288">Here, we employ the MSE budget to elucidate the physical mechanisms behind monsoon rainfall responses. In the climatology of low NHSI periods, the mean state exhibits intense rainfall over the Sahel and its southern regions (Fig. 1a, b), accompanied by positive vertical MSE advection (Fig. 5a). This rainfall is initiated by strong energy input into the atmospheric column (Fig. 5b), which drives vertical MSE advection in the tropics (Fig. 5a) and, consequently, sustains deep convective rainfall in these areas (Fig. 1a). These findings align with previous studies indicating that the vertical MSE advection is primarily balanced by the net energy flux (Chen and Bordoni, 2014; Hill et al., 2017). To the north of the rainfall band, pronounced subsidence is observed, manifested by negative vertical MSE advection (Fig. 5a), consistent with the low rainfall amounts and the presence of the Sahara Desert in this region (Fig. 1a). This suppressed convection is caused by negative horizontal MSE advection (Fig. 5c), in line with anticyclonic circulation and divergent sinking flow (Fig. 1a). The transient eddy term, which reflects northward moisture transport associated with African easterly waves (Hill et al., 2017), exhibits a meridional dipolar structure (Fig. 5d) that is opposite to the rainfall distribution.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3293">Composite analysis of summer MSE budget. <bold>(a–d)</bold> Vertical MSE advection term (<inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mfenced close="}" open="{"><mml:mrow><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 mathvariant="normal">p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>), net radiation term (<inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>F</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi mathvariant="normal">net</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), horizontal MSE advection term (<inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mfenced open="{" close="}"><mml:mrow><mml:mover accent="true"><mml:mi>v</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>⋅</mml:mo><mml:msub><mml:mi/><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mover accent="true"><mml:mi>h</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>), and transient eddy term (<inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mfenced close="}" open="{"><mml:mrow><mml:msub><mml:mi mathvariant="normal">∇</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mo>⋅</mml:mo><mml:mover accent="true"><mml:mrow><mml:mfenced close=")" open="("><mml:mrow><mml:mi>v</mml:mi><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup><mml:mi>h</mml:mi><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:mfenced></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> during low NHSI periods. <bold>(e–h)</bold> Same as <bold>(a–d)</bold>, but for the difference between high NHSI and low NHSI periods. The black rectangle is the NAF monsoon region.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5861/2026/acp-26-5861-2026-f05.png"/>

      </fig>

      <p id="d2e3412">Comparing high with low NHSI periods, the Sahara-Sahel region experiences increased energy input into the atmospheric column (Fig. 5f). This enhanced net energy forcing primarily stems from two factors (Fig. 6): First, greater shortwave radiation absorption in the atmosphere; and second, increased surface latent heat flux emission to the atmosphere resulting from higher rainfall and evaporation. The increased net energy in the Sahara-Sahel region directly intensifies upward motion (Fig. 5e), which intensifies the NAF monsoon and leads to increased rainfall (Fig. 3c). Concurrently, strengthened southwesterly winds contribute to positive horizontal MSE advection (Fig. 5g), indicating energy transport from adjacent tropical high-MSE regions into the Sahara-Sahel. This horizontal energy flux further sustains the increased rainfall and expands the influence of the monsoon system. The transient eddy term exhibits a north-south dipole pattern (Fig. 5h), but it contributes little to the area-averaged vertical MSE advection.</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e3418">Changes in energy entering the atmosphere during boreal summer between high and low NHSI periods. <bold>(a)</bold> Difference in downward shortwave radiation between the top of atmosphere and the surface, denote the net shortwave radiation into atmosphere. <bold>(b)</bold> Same as <bold>(a)</bold> but for the net longwave radiation change. <bold>(c)</bold> Surface sensible heat flux. <bold>(d)</bold> Surface latent heat flux.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5861/2026/acp-26-5861-2026-f06.png"/>

      </fig>

      <p id="d2e3442">Additionally, we employ moisture tagging experiments to quantify the contributions of different moisture sources to the NAF monsoon rainfall response (Fig. 7a). Although the mean state rainfall in the NAF region is primarily supplied by the African continent (about 46 %), the rainfall increase from low NHSI periods to high NHSI periods is additionally contributed from the Atlantic Ocean (Fig. 7a). Quantitatively, the North Atlantic Ocean, South Atlantic Ocean, and African continent contributes 18 %, 38 %, and 28 % of rainfall increase. These moisture contributions align with the dynamical framework in which intensified southwesterly monsoon winds enhance moisture transport from the Atlantic Ocean.</p>

      <fig id="F7" specific-use="star"><label>Figure 7</label><caption><p id="d2e3447">Tracking <sup>16</sup>O and <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> from source regions (high-low NHSI in tagging experiments). Summer rainfall difference (mm d<inline-formula><mml:math id="M213" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> between high and low NHSI periods originating from moisture source regions <bold>(a1)</bold> North Atlantic Ocean (NAt), <bold>(a2)</bold> South Atlantic Ocean (SAt), <bold>(a3)</bold> Indian Ocean (Ind), <bold>(a4)</bold> African continent (AFR), <bold>(a5)</bold> other regions and <bold>(a6)</bold> the global total of 25 sub regions. <bold>(b1)</bold>–<bold>(b6)</bold> Same as <bold>(a1)</bold>–<bold>(a6)</bold> but for the difference of <inline-formula><mml:math id="M214" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> between high and low NHSI periods. The black rectangles mark the NAF monsoon region.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5861/2026/acp-26-5861-2026-f07.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Mechanism of <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> change</title>
      <p id="d2e3582">As illustrated above, <inline-formula><mml:math id="M218" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> exhibits a dipole response with enrichment in the north but depletion in the south in response to high NHSI (Fig. 3e). Given the overall increase in rainfall across the NAF region, the change in <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> indicates a positive rainfall-<inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> relationship in the north and negative relationship in the south. This contrast highlights the complexity of regional <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> responses to external forcing and raises a critical question: Which hydrological processes are truly reflected by these <inline-formula><mml:math id="M226" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> variations? To explore the mechanisms behind this pattern, we analyze the results from the aforementioned moisture tagging experiments.</p>
      <p id="d2e3686">Moisture tagging experiments perfectly reproduce meridional dipole pattern in <inline-formula><mml:math id="M228" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> between high and low NHSI periods (Fig. 7b6 vs. Fig. 3e). In light of this dipole response, we divide the monsoon region into two subregions for further analysis: a northern region (15° W–35° E, 17° N–25° N) and a southern region (15° W–35° E, 8° N–17° N). The tagging experiments indicate that the dipole response of <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> in the NAF region are primarily influenced by moisture originating from the Atlantic Ocean and the African continent (Fig. 7b), which is largely consistent with the moisture contribution to rainfall changes discussed earlier. Specifically, the <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> enrichment in the northern region is mainly attributed to moisture from the North Atlantic, whereas depletion in the southern region is predominantly contributed by the African continent and South Atlantic.</p>
      <p id="d2e3750">To further understand the mechanism behind the dipole response of <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub>, we first separate the changes in <inline-formula><mml:math id="M236" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> into two terms: the contribution from changes in precipitation weight <inline-formula><mml:math id="M238" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<inline-formula><mml:math id="M239" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></inline-formula> (Fig. 8a) and that from changes in the isotope ratio <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p<italic>i</italic></sub> (Fig. 8d) based on the Eq. (5). The decomposition suggests that dipole <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> responses in the northern and southern NAF regions are governed by distinct hydrological processes. The <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> enrichment in the northern NAF region is almost entirely attributable to changes in precipitation weight from North Atlantic (Fig. 8a), whereas the <inline-formula><mml:math id="M246" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> depletion in the southern NAF region is mainly controlled by change in the value of isotope ratio from the African continent, as well as South Atlantic and Indian Ocean (Fig. 8d). In the following sections, we discuss the mechanisms driving <inline-formula><mml:math id="M248" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> variability in the northern and southern NAF regions separately.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e3954">Decomposition of <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> response. <bold>(a1–a6)</bold> <inline-formula><mml:math id="M252" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> response due to changes in precipitation weight <inline-formula><mml:math id="M254" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfenced close=")" open="("><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></inline-formula>. <bold>(b1–b6)</bold> Changes in precipitation weight <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfenced close=")" open="("><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></inline-formula> from each source region. <bold>(c1–c6)</bold> Climatological <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O value from each source region. <bold>(d1–d6)</bold> <inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> response due to changes in <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> value <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mi mathvariant="normal">p</mml:mi><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, which are further decomposed into the change due to <bold>(e1–e6)</bold> source <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>v</sub>, <bold>(f1–f6)</bold> en route depletion and <bold>(g1–g6)</bold> condensation enrichment. In addition to marking the NAF monsoon region with a black rectangle, a north-south division of the NAF region is also marked in the sixth column of subplots.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5861/2026/acp-26-5861-2026-f08.jpg"/>

      </fig>

      <p id="d2e4184">In the northern NAF region, as we illustrated above, the <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> enrichment is almost entirely attributable to contributions related to precipitation weight from North Atlantic (Fig. 8a). To further explore this, we plot the changes in precipitation weight <inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mi>P</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:math></inline-formula> along with climatological mean isotopic value <inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in Fig. 8b and c. It shows that in the northern NAF region, the <inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> enrichment is almost entirely attributable to changes in precipitation weight from North Atlantic. Here, we examine how changes in precipitation weight leads to <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> enrichment in the region. Climatologically, rainfall in the northern NAF region is primarily supplied by two moisture sources: the remote North Atlantic (<inline-formula><mml:math id="M272" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 28 %) and the local African continent (<inline-formula><mml:math id="M273" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 41 %) (Table A2). From low to high NHSI periods, the precipitation weight from the remote North Atlantic source decreases (Fig. 8b1), whereas that from the local African source increases (Fig. 8b4). As a result, the reduction in the North Atlantic contribution (<inline-formula><mml:math id="M274" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M275" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11 %) is nearly offset by the increase from the African source (<inline-formula><mml:math id="M276" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 13 %) (Table A2). However, the <inline-formula><mml:math id="M277" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values of these sources differ markedly: moisture originating from the North Atlantic is significantly more depleted (<inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math id="M279" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula>
<inline-formula><mml:math id="M280" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M281" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8 ‰) compared to that from the African continent (<inline-formula><mml:math id="M282" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math id="M283" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M284" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M285" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 ‰) (Fig. 8c1 vs, c4). Therefore, despite the comparable magnitude of changes in precipitation weight, the contrast in isotopic values between the two sources results in a net enrichment of <inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub>. In other words, from low to high NHSI periods, the reduced contribution of distal, isotopically depleted moisture source and an increased contribution of nearby, isotopically enriched moisture source, ultimately driving the positive <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> anomaly in the northern NAF region.</p>
      <p id="d2e4431">In the southern NAF region, the <inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> depletion is mainly controlled by change in the value of isotope ratio from the African continent. Our decomposition analysis (based on Eq. 6) shows that rainfall depletion from African continent (Fig. 8f4) determines the <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> depletion in the southern NAF region. This occurs because the southwesterly winds are enhanced over the NAF regions, which migrates the ITCZ northward by 2.3° (Fig. 4) and extending rainfall eastward into the Horn of Africa (Fig. 3c). This notable expansion of the monsoon system is accompanied by the transport of air parcels away from their source locations, during which they experience rainout processes, leading to progressive isotopic depletion. In addition, the en route depletion from South Atlantic and Indian Ocean sources is also responsible for <inline-formula><mml:math id="M294" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> decrease in west and east of southern NAF region (Fig. 8f2 and f3), respectively, due to rainout process. In contrast, the other two terms associated with source effect (Fig. 8e) and local condensation (Fig. 8g) have minimal influence on <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> changes in the region. Therefore, although the negative correlation between rainfall and <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> observed in the southern NAF region appears consistent with the isotopic “amount effect”, our study indicates that changes in NAF <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> cannot be simply attributed to local rainfall. Instead, they are significantly influenced by en route depletion processes. This finding suggests that future interpretations of oxygen isotope records in this region should be approached with caution.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d2e4564">In this study, we investigate the spatial-temporal evolutions of both rainfall and <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> across the NAF region using transient simulations spanning the past 150 000 years. We find that the NAF hydroclimate is controlled by low-latitude insolation and exhibits a strong precessional signal, with regional average rainfall and <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> negatively correlated, seemingly consistent with the sense of “amount effect”. However, rainfall and <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> display distinct spatial patterns. During high NHSI periods, rainfall shows a regionally uniform increase, whereas <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> exhibits a north-south dipole pattern, characterized by enrichment in the northern part and depletion in the southern part. The widespread increase in rainfall across the NAF region is driven by enhanced solar radiation, which destabilizes the atmospheric column and intensifies monsoon circulation, further sustained by horizontal advection of MSE. In contrast, the north-south dipole response of <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> is governed by different hydrological processes. Tagging experiments suggest that <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> enrichment in the northern NAF region results from shifts in moisture sources, with a reduced contribution from the distant Atlantic Ocean and an increased contribution from local continental sources. On the other hand, <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> depletion in the southern NAF region is primarily attributed to en route rainout processes, as intensified monsoon circulation transports air parcels away from their source regions, during which they undergo progressive isotopic depletion.</p>
      <p id="d2e4709">The results of our simulations are broadly consistent with previous studies. The simulated rainfall expands poleward, in agreement with lake-level reconstructions (Tierney et al., 2011) and marine sediment records from the western Sahara (Tierney et al., 2017a). In addition, the rainfall extends eastward into the Horn of Africa, driven by strong southwesterly winds, which is supported by marine sediment evidence from the Gulf of Aden (Tierney et al., 2017b). The West African precipitation anomaly penetrates farther north than its East African counterpart, consistent with earlier modeling results (Schurgers et al., 2007). The simulated <inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> also aligns well with speleothem and seawater <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O records from the eastern Mediterranean Sea, which reflect hydroclimate conditions over the NAF region via Nile River discharge (Ziegler et al., 2010). Furthermore, the spatial pattern of <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> resembles that reported by Shi et al. (2023) with different climate models, with depleted values in the southern NAF region and enriched values in the northwestern part. However, in their simulation, the area of <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> enrichment is more spatially confined.</p>
      <p id="d2e4784">Nonetheless, some discrepancies remain between our simulated <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> and previous studies. For instance, the simulated <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> exhibits a much narrower range of variability, from approximately <inline-formula><mml:math id="M327" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7 ‰ to <inline-formula><mml:math id="M328" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10 ‰ compared to the observed range of <inline-formula><mml:math id="M329" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 ‰ to <inline-formula><mml:math id="M330" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8 ‰ . This mismatch may arise from either model biases or uncertainties in the proxy data. Relative to pollen-based reconstructions (Tierney et al., 2017a; Braconnot et al., 2012), our simulated precipitation anomalies are less pronounced (Bartlein et al., 2011; Shi et al., 2022), which likely results in weaker isotopic signals. In addition, our simulation considers only insolation forcing, whereas in reality, other factors such as lakes, vegetation, and ecosystem dynamics also play important roles. Model resolution is another key factor that can influence the results (Werner et al., 2011). On the other hand, uncertainties also exist in the proxy data themselves. For example, <inline-formula><mml:math id="M331" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> signals preserved in speleothems may reflect a complex combination of local environmental processes rather than large-scale climate signals alone (Lachniet, 2009).</p>
      <p id="d2e4876">Direct spatial comparison between simulated <inline-formula><mml:math id="M333" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and proxy observations on orbital timescales is not currently feasible, as no direct <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O reconstructions are available from the African continent. The north–south dipole pattern of <inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> simulated in this study differs from the west–east dipole pattern previously using the ECHAM4 model (Herold and Lohmann, 2009). This discrepancy likely stems from differences in model-generated climate responses. In Herold and Lohmann (2009), simulated rainfall decreases over the western Sahara, which contrasts with sediment records indicating increased rainfall in that region (Tierney et al., 2017a). This negative rainfall bias may have led to an underestimation of isotopic depletion processes, resulting in <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> enrichment in their simulations. Our simulated north–south dipole pattern also differs from the widespread <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> depletion over North Africa simulated by MPI-ESM-wiso (Cauquoin et al., 2019). In that study, the simulated rainfall increase does not extend to the Horn of Africa, contrary to sediment records from the Gulf of Aden (Tierney et al., 2017b). This regional limitation likely underestimates the rainfall increase and, consequently, the moisture contribution from the African continent. The resulting discrepancy in moisture sources may explain the absence of <inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> enrichment in the northern NAF region in their simulations compared with ours.</p>
      <p id="d2e4983">Although direct spatial validation of <inline-formula><mml:math id="M343" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> against orbital-scale observations remains limited due to the lack of continent-based <inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O proxies, the strong agreement between our simulated rainfall patterns and multiple proxy reconstructions lends confidence to our simulated <inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> distributions. Furthermore, our tagging experiments enable a quantitative assessment of the processes driving <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> variations. In the southern NAF, upstream en route depletion of vapor <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O accounts for 81 % of the total depletion, while the contribution of the “amount effect” is negligible. This quantitative approach advances beyond previous studies that relied primarily on statistical relationships between <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> and rainfall to infer underlying mechanisms (Cauquoin et al., 2019). The dipole pattern of <inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> simulated here provides a distinct isotopic fingerprint that can be tested against future proxy evidence.</p>
      <p id="d2e5110">Our results reveal that the forcing mechanisms governing <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> across North Africa are complex. While the “amount effect” is widely invoked to interpret <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> in tropical monsoon regions, its applicability varies across different subregions of North Africa. In the southern NAF, although <inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> and rainfall are negatively correlated, that is consistent with the “amount effect” in a statistical sense, the primary control on <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> is en route depletion processes rather than local precipitation amount. The interpretation of <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> on orbital timescales also differs from that on seasonal timescales. At the seasonal scale, Risi et al. (2008) demonstrated that convective activity is the main control on the isotopic composition of precipitation in North Africa, supporting the “amount effect.” This contrast highlights the complex, scale-dependent relationship between <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> and rainfall. On orbital timescales, it is essential to consider changes in rainfall along upstream vapor transport trajectories when interpreting isotopic proxies of past climate change. Although <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> cannot be used to directly infer past monsoon rainfall intensity, it remains a robust indicator of monsoon strength. Overall, depleted <inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>p</sub> values across North Africa are associated with an intensified NAF monsoon, characterized by enhanced southwesterly winds and increased monsoon rainfall.</p>
      <p id="d2e5275">There are still caveats in our simulation. We only consider insolation forcing. Other factors such as ice sheet dynamics and vegetation feedbacks may also influence the amplitude of the simulated results. For instance, the simulated northward extension of rainfall in the NAF region is more limited compared to reconstructions, which suggest that the African Humid Period extended as far north as <inline-formula><mml:math id="M371" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 31° N (Tierney et al., 2017a). This underestimation of rainfall increase may be due to the absence of dynamic vegetation and dust emission feedbacks in our model (Pausata et al., 2016), and could also constrain the simulated range of <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub>. Furthermore, recent studies indicate that polar ice sheets can influence tropical monsoon systems by altering the interhemispheric pressure gradient (An et al., 2024). The lack of ice sheet forcing in our simulation may therefore contribute to an underestimation of rainfall over North Africa, potentially affecting the amplitude and variability of the simulated <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O<sub>c</sub> as well.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title>Additional material</title>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e5339">Source region delineation in the tagging experiments and regrouping for analysis. <bold>(a)</bold> Regional delineation of the global ocean. The black dashed boxes mark the ocean sub regions used for the experiments. The blue polygons mark the regrouped ocean regions used for the analysis. <bold>(b) </bold>Similar to <bold>(a)</bold> but for regional delineation of the global land.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/26/5861/2026/acp-26-5861-2026-f09.png"/>

      </fig>

<table-wrap id="TA1"><label>Table A1</label><caption><p id="d2e5363">Regional average of annual mean rainfall (Rainfall; mm d<inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, precipitation weight (Wgt; proportion of total precipitation) and annual mean <inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in precipitation (‰) in the NAF monsoon region (15° W–35° E, 8° N–25° N).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">Region</oasis:entry>

         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1">Low NHSI </oasis:entry>

         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center" colsep="1">High NHSI </oasis:entry>

         <oasis:entry rowsep="1" namest="col8" nameend="col10" align="center">High-Low NHSI </oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">Rainfall</oasis:entry>

         <oasis:entry colname="col3">Wgt</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O</oasis:entry>

         <oasis:entry colname="col5">Rainfall</oasis:entry>

         <oasis:entry colname="col6">Wgt</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M380" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>Rainfall</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M381" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>Wgt</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1">NAt</oasis:entry>

         <oasis:entry colname="col2">0.153</oasis:entry>

         <oasis:entry colname="col3">0.14</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M383" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.0</oasis:entry>

         <oasis:entry colname="col5">0.333</oasis:entry>

         <oasis:entry colname="col6">0.16</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M384" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.0</oasis:entry>

         <oasis:entry colname="col8">0.180</oasis:entry>

         <oasis:entry colname="col9">0.02</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M385" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.0</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SAt</oasis:entry>

         <oasis:entry colname="col2">0.196</oasis:entry>

         <oasis:entry colname="col3">0.19</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M386" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.1</oasis:entry>

         <oasis:entry colname="col5">0.544</oasis:entry>

         <oasis:entry colname="col6">0.26</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M387" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.3</oasis:entry>

         <oasis:entry colname="col8">0.348</oasis:entry>

         <oasis:entry colname="col9">0.07</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M388" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.2</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Ind</oasis:entry>

         <oasis:entry colname="col2">0.199</oasis:entry>

         <oasis:entry colname="col3">0.19</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M389" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.4</oasis:entry>

         <oasis:entry colname="col5">0.269</oasis:entry>

         <oasis:entry colname="col6">0.13</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M390" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.4</oasis:entry>

         <oasis:entry colname="col8">0.070</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M391" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M392" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.0</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">AFR</oasis:entry>

         <oasis:entry colname="col2">0.443</oasis:entry>

         <oasis:entry colname="col3">0.42</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M393" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0</oasis:entry>

         <oasis:entry colname="col5">0.783</oasis:entry>

         <oasis:entry colname="col6">0.37</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M394" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.5</oasis:entry>

         <oasis:entry colname="col8">0.340</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M395" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M396" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.5</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Others</oasis:entry>

         <oasis:entry colname="col2">0.063</oasis:entry>

         <oasis:entry colname="col3">0.06</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M397" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.9</oasis:entry>

         <oasis:entry colname="col5">0.166</oasis:entry>

         <oasis:entry colname="col6">0.08</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M398" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22.5</oasis:entry>

         <oasis:entry colname="col8">0.103</oasis:entry>

         <oasis:entry colname="col9">0.02</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M399" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.6</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Total</oasis:entry>

         <oasis:entry colname="col2">1.054</oasis:entry>

         <oasis:entry colname="col3">1.00</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M400" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.6</oasis:entry>

         <oasis:entry colname="col5">2.095</oasis:entry>

         <oasis:entry colname="col6">1.00</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M401" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.3</oasis:entry>

         <oasis:entry colname="col8">1.041</oasis:entry>

         <oasis:entry colname="col9">0.00</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M402" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.7</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="TA2"><label>Table A2</label><caption><p id="d2e5845">Same as Table A1, but for the northern NAF monsoon region (15° W-35° E, 17° N-25° N).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">Region</oasis:entry>

         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1">Low NHSI </oasis:entry>

         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center" colsep="1">High NHSI </oasis:entry>

         <oasis:entry rowsep="1" namest="col8" nameend="col10" align="center">High-Low NHSI </oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">Rainfall</oasis:entry>

         <oasis:entry colname="col3">Wgt</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M403" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O</oasis:entry>

         <oasis:entry colname="col5">Rainfall</oasis:entry>

         <oasis:entry colname="col6">Wgt</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M404" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M405" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>Rainfall</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M406" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>Wgt</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1">NAt</oasis:entry>

         <oasis:entry colname="col2">0.016</oasis:entry>

         <oasis:entry colname="col3">0.34</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M408" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.2</oasis:entry>

         <oasis:entry colname="col5">0.165</oasis:entry>

         <oasis:entry colname="col6">0.23</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M409" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.9</oasis:entry>

         <oasis:entry colname="col8">0.149</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M410" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.11</oasis:entry>

         <oasis:entry colname="col10">0.3</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SAt</oasis:entry>

         <oasis:entry colname="col2">0.003</oasis:entry>

         <oasis:entry colname="col3">0.07</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M411" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.1</oasis:entry>

         <oasis:entry colname="col5">0.071</oasis:entry>

         <oasis:entry colname="col6">0.10</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M412" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>21.2</oasis:entry>

         <oasis:entry colname="col8">0.068</oasis:entry>

         <oasis:entry colname="col9">0.03</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M413" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.1</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Ind</oasis:entry>

         <oasis:entry colname="col2">0.006</oasis:entry>

         <oasis:entry colname="col3">0.12</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M414" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.1</oasis:entry>

         <oasis:entry colname="col5">0.046</oasis:entry>

         <oasis:entry colname="col6">0.06</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M415" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.7</oasis:entry>

         <oasis:entry colname="col8">0.040</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M416" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M417" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.6</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">AFR</oasis:entry>

         <oasis:entry colname="col2">0.017</oasis:entry>

         <oasis:entry colname="col3">0.35</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M418" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.8</oasis:entry>

         <oasis:entry colname="col5">0.346</oasis:entry>

         <oasis:entry colname="col6">0.48</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M419" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.3</oasis:entry>

         <oasis:entry colname="col8">0.329</oasis:entry>

         <oasis:entry colname="col9">0.13</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M420" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Others</oasis:entry>

         <oasis:entry colname="col2">0.006</oasis:entry>

         <oasis:entry colname="col3">0.12</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M421" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>19.1</oasis:entry>

         <oasis:entry colname="col5">0.097</oasis:entry>

         <oasis:entry colname="col6">0.13</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M422" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.2</oasis:entry>

         <oasis:entry colname="col8">0.091</oasis:entry>

         <oasis:entry colname="col9">0.01</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M423" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.1</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Total</oasis:entry>

         <oasis:entry colname="col2">0.048</oasis:entry>

         <oasis:entry colname="col3">1.00</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M424" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.2</oasis:entry>

         <oasis:entry colname="col5">0.726</oasis:entry>

         <oasis:entry colname="col6">1.00</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M425" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.1</oasis:entry>

         <oasis:entry colname="col8">0.678</oasis:entry>

         <oasis:entry colname="col9">0.00</oasis:entry>

         <oasis:entry colname="col10">0.1</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<table-wrap id="TA3"><label>Table A3</label><caption><p id="d2e6289">Same as Table A1, but for the southern NAF monsoon region (15° W-35° E, 8° N-17° N).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="10">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right" colsep="1"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right" colsep="1"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">Region</oasis:entry>

         <oasis:entry rowsep="1" namest="col2" nameend="col4" align="center" colsep="1">Low NHSI </oasis:entry>

         <oasis:entry rowsep="1" namest="col5" nameend="col7" align="center" colsep="1">High NHSI </oasis:entry>

         <oasis:entry rowsep="1" namest="col8" nameend="col10" align="center">High-Low NHSI </oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">Rainfall</oasis:entry>

         <oasis:entry colname="col3">Wgt</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O</oasis:entry>

         <oasis:entry colname="col5">Rainfall</oasis:entry>

         <oasis:entry colname="col6">Wgt</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O</oasis:entry>

         <oasis:entry colname="col8"><inline-formula><mml:math id="M428" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>Rainfall</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M429" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>Wgt</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M430" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1">NAt</oasis:entry>

         <oasis:entry colname="col2">0.298</oasis:entry>

         <oasis:entry colname="col3">0.13</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M431" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.8</oasis:entry>

         <oasis:entry colname="col5">0.489</oasis:entry>

         <oasis:entry colname="col6">0.14</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M432" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.2</oasis:entry>

         <oasis:entry colname="col8">0.192</oasis:entry>

         <oasis:entry colname="col9">0.01</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M433" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.3</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">SAt</oasis:entry>

         <oasis:entry colname="col2">0.445</oasis:entry>

         <oasis:entry colname="col3">0.19</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M434" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.9</oasis:entry>

         <oasis:entry colname="col5">1.117</oasis:entry>

         <oasis:entry colname="col6">0.31</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M435" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.9</oasis:entry>

         <oasis:entry colname="col8">0.672</oasis:entry>

         <oasis:entry colname="col9">0.12</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M436" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.0</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Ind</oasis:entry>

         <oasis:entry colname="col2">0.406</oasis:entry>

         <oasis:entry colname="col3">0.18</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M437" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.4</oasis:entry>

         <oasis:entry colname="col5">0.451</oasis:entry>

         <oasis:entry colname="col6">0.12</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M438" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13.8</oasis:entry>

         <oasis:entry colname="col8">0.045</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M439" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.06</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M440" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.4</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">AFR</oasis:entry>

         <oasis:entry colname="col2">1.016</oasis:entry>

         <oasis:entry colname="col3">0.44</oasis:entry>

         <oasis:entry colname="col4">2.0</oasis:entry>

         <oasis:entry colname="col5">1.310</oasis:entry>

         <oasis:entry colname="col6">0.36</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M441" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.4</oasis:entry>

         <oasis:entry colname="col8">0.294</oasis:entry>

         <oasis:entry colname="col9"><inline-formula><mml:math id="M442" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.08</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M443" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.5</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Others</oasis:entry>

         <oasis:entry colname="col2">0.133</oasis:entry>

         <oasis:entry colname="col3">0.06</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M444" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.8</oasis:entry>

         <oasis:entry colname="col5">0.235</oasis:entry>

         <oasis:entry colname="col6">0.07</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M445" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>25.1</oasis:entry>

         <oasis:entry colname="col8">0.102</oasis:entry>

         <oasis:entry colname="col9">0.01</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M446" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.2</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1">Total</oasis:entry>

         <oasis:entry colname="col2">2.299</oasis:entry>

         <oasis:entry colname="col3">1.00</oasis:entry>

         <oasis:entry colname="col4"><inline-formula><mml:math id="M447" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.6</oasis:entry>

         <oasis:entry colname="col5">3.602</oasis:entry>

         <oasis:entry colname="col6">1.00</oasis:entry>

         <oasis:entry colname="col7"><inline-formula><mml:math id="M448" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.2</oasis:entry>

         <oasis:entry colname="col8">1.303</oasis:entry>

         <oasis:entry colname="col9">0.00</oasis:entry>

         <oasis:entry colname="col10"><inline-formula><mml:math id="M449" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.6</oasis:entry>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

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

      <p id="d2e6738">The ERA5 reanalysis data are publicly available from the Copernicus Climate Change Service (<uri>https://cds.climate.copernicus.eu/</uri>, last access: October 2025). The GNIP data can be obtained from the IAEA website (<uri>https://nucleus.iaea.org/wiser/explore/</uri>, last access: October 2025). Paleoclimate proxy data could be found from NOAA (<uri>https://www.ncei.noaa.gov/products/paleoclimatology</uri>, last access: October 2025). The iCESM modeling data and mapping code related to this article is available online at <ext-link xlink:href="https://doi.org/10.5281/zenodo.17659273" ext-link-type="DOI">10.5281/zenodo.17659273</ext-link> (Ji et al., 2025).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e6756">QW designed the experiments and carried them out. CJ performed the analysis, made the figures, and wrote the manuscript draft. QW worked on revising the manuscript. All authors were involved in helpful discussion and contributed to the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e6762">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="d2e6768">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="d2e6774">We thank Zhengyu Liu, Jian Liu, Deliang Chen, Liang Ning and Mi Yan for helpful discussions and Qiuzhen Yin for providing constructive reviews that improved the manuscript.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e6782">This work is supported by the National Natural Science Foundation (NSF) of China (grant nos. 42575051, 42130604, 42575050), National Key Research and Development Program of China (grant no. 2023YFF0804700), Science and Technology Innovation Project of Laoshan Laboratory (grant no. LSKJ202203303), and the State Key Laboratory of Loess and Quaternary Geology (grant no. SKLLQG2202).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e6788">This paper was edited by Patrick Jöckel and reviewed by two anonymous referees.</p>
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