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  <front>
    <journal-meta><journal-id journal-id-type="publisher">EGQSJ</journal-id><journal-title-group>
    <journal-title>E&amp;G Quaternary Science Journal</journal-title>
    <abbrev-journal-title abbrev-type="publisher">EGQSJ</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">E&amp;G Quaternary Sci. J.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2199-9090</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/egqsj-75-173-2026</article-id><title-group><article-title>Paleoseasonality through serial stable isotope analysis of Pleistocene to recent <italic>Etheria elliptica</italic> shells from the middle Atbara River, eastern Sudan</article-title><alt-title>Paleoseasonality from Etheria elliptica shells, Atbara River</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Huseen</surname><given-names>Aisha</given-names></name>
          <email>aisha.huseen@mfn.berlin</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Bussert</surname><given-names>Robert</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff4">
          <name><surname>Mohammednoor</surname><given-names>Mosab</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Struck</surname><given-names>Ulrich</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Tsukamoto</surname><given-names>Sumiko</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4626-4784</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff7">
          <name><surname>Eisawi</surname><given-names>Ali</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Bibi</surname><given-names>Faysal</given-names></name>
          <email>faysal.bibi@mfn.berlin</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Museum für Naturkunde, Leibniz Institute for Evolution and Biodiversity Science, Berlin, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Department of Geology, University of Khartoum, Khartoum, Sudan</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Geography and Geosciences, Friedrich Alexander Universität Erlangen-Nürnberg, Erlangen, Germany</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Institute of Applied Geosciences, Technische Universität Berlin, Berlin, Germany</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>LIAG Institute for Applied Geophysics, Hannover, Germany</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Department of Geosciences, University of Tübingen, Tübingen, Germany</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Faculty of Petroleum and Minerals, Al Neelain University, Khartoum, Sudan</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Aisha Huseen (aisha.huseen@mfn.berlin) and Faysal Bibi (faysal.bibi@mfn.berlin)</corresp></author-notes><pub-date><day>14</day><month>October</month><year>2026</year></pub-date>
      
      <volume>75</volume>
      <issue>2</issue>
      <fpage>173</fpage><lpage>190</lpage>
      <history>
        <date date-type="received"><day>17</day><month>November</month><year>2025</year></date>
           <date date-type="rev-recd"><day>9</day><month>July</month><year>2026</year></date>
           <date date-type="accepted"><day>12</day><month>August</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Aisha Huseen 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://egqsj.copernicus.org/articles/75/173/2026/egqsj-75-173-2026.html">This article is available from https://egqsj.copernicus.org/articles/75/173/2026/egqsj-75-173-2026.html</self-uri><self-uri xlink:href="https://egqsj.copernicus.org/articles/75/173/2026/egqsj-75-173-2026.pdf">The full text article is available as a PDF file from https://egqsj.copernicus.org/articles/75/173/2026/egqsj-75-173-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e185">Rainfall magnitude and seasonality are primary determinants of African savannas today, governing essential aspects of biomass production, such as primary productivity and the amount of tree cover. It remains unclear to what extent past seasonality differed from today, potentially accounting for differences in habitats and faunal diversity. Stable isotopes along with trace elements of the growth layers in bivalve shells provide valuable insights into paleoenvironmental conditions, including rainfall, river productivity, and water temperature. In this study, we analyzed stable oxygen and carbon isotopes in 11 fossil and three modern <italic>Etheria elliptica</italic> shells collected from the middle Atbara River in eastern Sudan. The fossil specimens are from sediments dated by optically stimulated luminescence (OSL) to between <inline-formula><mml:math id="M1" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 224 and <inline-formula><mml:math id="M2" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 17 ka in age. The <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 values of fossil and modern shells are broadly similar, although the fossils are more enriched (<inline-formula><mml:math id="M4" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>2.4 ‰ to 5.9 ‰ for fossils vs. <inline-formula><mml:math id="M5" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.4 ‰ to 1.5 ‰ for modern shells), possibly indicating more evaporative and drier conditions during the Pleistocene. However, the Atbara River is today altered by dams, which might also explain the more depleted isotopic values in modern shells. <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values are broadly similar in fossil and modern shells, ranging from <inline-formula><mml:math id="M7" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.1 ‰ to 4.5 ‰ in fossils and <inline-formula><mml:math id="M8" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.9 ‰ to <inline-formula><mml:math id="M9" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.6 ‰ in modern shells but show significant changes over time. Enriched <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values in Pleistocene shells may reflect lower atmospheric CO<sub>2</sub> levels, while depleted values in modern shells align with post-industrial increases in CO<sub>2</sub>, although changes in catchment vegetation, weathering processes, or biological factors might also play a role. We also reconstructed the Atbara local meteoric water line (ALMWL) from seven river water samples. Results suggested that the Atbara River experiences low relative humidity compared to the global MWL. Moisture sources inferred from the ALMWL likely include the Indian Ocean, the Atlantic Ocean, and recycled moisture from continental input. These may have also supplied moisture during the Pleistocene, as fossil and modern shells exhibit comparable isotopic ranges. Our results overall indicate that a strong precipitation seasonality pattern has likely persisted in eastern Sudan since at least <inline-formula><mml:math id="M13" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 200 ka.</p>
  </abstract>
      <trans-abstract><title>Kurzfassung</title>

      <p id="d2e302">Die Niederschlagsmenge und -saisonalität sind heute die primären Einflussfaktoren der afrikanischen Savannen und bestimmen wesentliche Aspekte der Biomasseproduktion, wie die Primärproduktivität und den Anteil der Baumbedeckung. Es bleibt unklar, in welchem Ausmaß sich die vergangene Saisonalität von der heutigen unterschied, was möglicherweise Unterschiede in Lebensräumen und faunistischer Diversität erklären könnte. Stabile Isotope sowie Spurenelemente der Wachstumslagen in Bivalvenschalen liefern wertvolle Einblicke in paläoumweltliche Bedingungen, einschließlich Niederschlag, Flussproduktivität und Wassertemperatur. In dieser Studie analysierten wir stabile Sauerstoff- und Kohlenstoffisotope in elf fossilen und drei modernen Schalen von <italic>Etheria elliptica</italic>, die aus der Region des mittleren Atbara-Flusses im Osten des Sudan gesammelt wurden. Die fossilen Exemplare stammen aus Sedimenten, deren Alter mittels optisch stimulierter Lumineszenz (OSL) auf <inline-formula><mml:math id="M14" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 224–<inline-formula><mml:math id="M15" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 17 ka datiert wurde. Die <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-Werte der fossilen und modernen Schalen sind im Allgemeinen ähnlich, obwohl die Fossilien stärker angereicherte Werte aufweisen (<inline-formula><mml:math id="M17" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>2,4 ‰ bis 5,9 ‰ für Fossilien gegenüber <inline-formula><mml:math id="M18" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6,4 ‰ bis 1,5 ‰ für moderne Schalen), was möglicherweise auf stärker evaporative und trockenere Bedingungen während des Pleistozäns hindeutet. Allerdings ist der Atbara-Fluss heute durch Dämme verändert, was ebenfalls die stärker abgereicherten Isotopenwerte in modernen Schalen erklären könnte. Die <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-Werte sind in fossilen und modernen Schalen im Allgemeinen ähnlich und reichen von <inline-formula><mml:math id="M20" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14,1 ‰ bis 4,5 ‰ in fossilen und von <inline-formula><mml:math id="M21" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16,9 ‰ bis <inline-formula><mml:math id="M22" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9,6 ‰ in modernen Schalen, zeigen jedoch signifikante Veränderungen im Laufe der Zeit. Angereicherte <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C-Werte in pleistozänen Schalen könnten niedrigere atmosphärische CO<sub>2</sub>-Konzentrationen widerspiegeln, während abgereicherte Werte in modernen Schalen mit dem Anstieg von CO<sub>2</sub> nach der Industrialisierung übereinstimmen, obwohl Veränderungen in der Vegetation des Einzugsgebiets, Verwitterungsprozesse oder biologische Faktoren ebenfalls eine Rolle spielen könnten. Wir rekonstruierten außerdem die lokale meteorische Wasserlinie des Atbara (Atbara local meteoric water line, ALMWL) anhand von sieben Flusswasserproben. Die Ergebnisse deuteten darauf hin, dass der Atbara-Fluss im Vergleich zur globalen MWL eine niedrige relative Luftfeuchtigkeit aufweist. Die aus der ALMWL abgeleiteten Feuchtigkeitsquellen umfassen wahrscheinlich den Indischen Ozean, den Atlantischen Ozean und recycelte Feuchtigkeit aus kontinentalem Eintrag. Diese könnten auch während des Pleistozäns Feuchtigkeit geliefert haben, da fossile und moderne Schalen ähnliche Isotopenbereiche aufweisen. Unsere Ergebnisse deuten insgesamt darauf hin, dass wahrscheinlich seit mindestens <inline-formula><mml:math id="M26" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 200 ka ein stark saisonales Niederschlagsmuster im Osten des Sudan bestanden hat.</p>
  </trans-abstract>
      
<funding-group>
<award-group id="gs1">
<funding-source>HORIZON EUROPE European Research Council</funding-source>
<award-id>101045217</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Deutsche Forschungsgemeinschaft</funding-source>
<award-id>387794796</award-id>
</award-group>
<award-group id="gs3">
<funding-source>National Geographic Society</funding-source>
<award-id>CP-086R-17</award-id>
</award-group>
</funding-group>
<custom-meta-group><custom-meta><meta-name>citationstatement</meta-name><meta-value>Huseen, A., Bussert, R., Mohammednoor, M., Struck, U., Tsukamoto, S., Eisawi, A., and Bibi, F.: Paleoseasonality through serial stable isotope analysis of Pleistocene to recent <italic>Etheria elliptica</italic> shells from the middle Atbara River, eastern Sudan, E&amp;G Quaternary Sci. J., 75, 173–190, https://doi.org/10.5194/egqsj-75-173-2026, 2026.</meta-value></custom-meta></custom-meta-group>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e426">Precipitation seasonality is an essential determining factor of modern African savanna habitats. Seasonal rainfall magnitude, distribution, duration, and timing have shaped the habitats and ecological setting of African savannas by governing essential aspects of biomass production, such as primary productivity, biogeochemical processes, and phenology (Feng et al., 2013). Moreover, the reliance of these ecosystems on precipitation seasonality makes them vulnerable to any changes affecting one or all of the above-mentioned characteristics associated with the region's seasonal rainfall (Feng et al., 2013). Precipitation patterns across a large portion of modern Africa are primarily concentrated during the summer season (Liebmann et al., 2012; Yang et al., 2024). However, according to Palmer et al. (2023), eastern Africa experiences an additional short rainy season during winter (October–December).</p>
      <p id="d2e429">To investigate seasonality in the geological past, serial stable isotope analysis has been conducted on fossils, including mammalian teeth and mollusk shells (Blaise and Balasse, 2011; De Winter et al., 2016; Fricke et al., 1998; Iacumin and Longinelli, 2002; Kniest et al., 2022; Pfister et al., 2019; Souron et al., 2012; Stephan, 2000). In particular, Holocene and modern hydrological systems in eastern Africa have been investigated using African freshwater oysters <italic>Etheria elliptica</italic> from Wadi Howar, Sudan (Rodrigues, 2000), the Shinfa (Rahad River in Sudan) and Omo Rivers in Ethiopia (Tabor et al., 2021; Vonhof et al., 2013), and lakes Turkana and Victoria, Kenya (Abell et al., 1996; Cohen et al., 2023). However, this region is lacking high-resolution archives beyond the early Holocene.</p>
      <p id="d2e435">These previous studies demonstrate that <italic>E. elliptica</italic> shells can act as an archive of seasonal variations in the isotopic composition of their host waters. Specifically, stable oxygen and carbon isotope ratios in the growth layers of <italic>E. elliptica</italic> can provide valuable data for reconstructing paleoenvironmental conditions, including rainfall and water temperature (oxygen), and river productivity (carbon). The oldest <italic>E. elliptica</italic> shells analyzed to date are early Holocene in age (Cohen et al., 2023). However, the <italic>E. elliptica</italic> record may extend further back in time, if suitably aged and well-preserved fossil shells are found.</p>
      <p id="d2e450">Along the Atbara River, located in the eastern-central Nile basin (Fig. 1), thick deposits of complex fluviatile sediments contain stone tools and vertebrate remains, along with a variety of gastropods, freshwater bivalves, and freshwater oysters (<italic>E. elliptica</italic>) – often in the form of fossil reefs (Abbate et al., 2010). <italic>Etheria elliptica</italic> can still be found in the Atbara River today, oftentimes forming reefs attached to rocks in fast-flowing water. In this study, we analyzed stable oxygen and carbon isotopes in 11 fossil <italic>E. elliptica</italic> shells from late Middle and Late Pleistocene sediments, as well as three modern shells, collected in the middle Atbara River area of eastern Sudan. This was done in order to test whether the seasonality of precipitation in the past was similar to that of today, and whether it varied over time or remained relatively stable throughout the last <inline-formula><mml:math id="M27" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 224 ka. While oxygen isotopes primarily reflect hydrological seasonality through changes in precipitation and evaporation, carbon isotopes provide complementary information on dissolved inorganic carbon dynamics, vegetation input, and biogeochemical processes within the river system (Kelemen et al., 2017; Yan et al., 2012) that are difficult to disentangle.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e472"><bold>(A)</bold> Location of the study area (modified after Mohammednoor et al., 2024), <bold>(B)</bold> satellite image of the study area and collection sites of <italic>Etheria elliptica</italic> (white circles) along the middle Atbara River (© Google Earth) and <bold>(C)</bold> stratigraphic sections showing the position of the <italic>E. elliptica</italic> specimens and the luminescence ages (red circles).</p></caption>
        <graphic xlink:href="https://egqsj.copernicus.org/articles/75/173/2026/egqsj-75-173-2026-f01.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Growth and isotopic composition of <italic>Etheria elliptica</italic> shells</title>
      <p id="d2e507">The shells of <italic>E. elliptica</italic> provide a proxy for paleoseasonality and paleoclimate due to their incremental growth, with discrete layers accumulating at the inner surface at a growth rate associated with age, following the von Bertalanffy growth model (Akélé et al., 2015). The isotopic ratios of each individual layer record water isotopic conditions and temperature at the time of formation.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e515"><bold>(A)</bold> Interior view of the shell of <italic>Etheria elliptica</italic> (specimen KGS2, Su 14/2019 B). <bold>(B)</bold> Cross-section of the same specimen, with arrows indicating the sampling locations for carbon and oxygen isotope analyses. Cross-sections for remaining shells are provided in the Supplement.</p></caption>
        <graphic xlink:href="https://egqsj.copernicus.org/articles/75/173/2026/egqsj-75-173-2026-f02.jpg"/>

      </fig>

      <p id="d2e532">The isotopic composition of bivalve shells is generally considered a reliable indicator of constructing rainfall and temperature seasonality. Shells of the freshwater oyster <italic>E. elliptica</italic> are about <inline-formula><mml:math id="M28" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2–3 cm (Fig. 2) thick and up to 15 cm long, with well-defined growth layers. These shells grow incrementally, accreting successive layers in which they record hydroclimate parameters, including water temperature and water isotopic signature. Consequently, geochemical analysis of their shells can inform seasonal changes in the water chemistry in which they grow (Cohen et al., 2023; Pfister et al., 2019; Vonhof et al., 2013). In terrestrial environments, ratios of stable isotopes of oxygen (<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) in animal hard tissues (shells, tooth enamel, etc.) are known to vary with the amount of seasonality of rainfall and other climate variables (Fricke et al., 1998; Iacumin and Longinelli, 2002; Pfister et al., 2019; Souron et al., 2012; Stephan, 2000; Brookman and Ambrose, 2012). Rainy seasons bring in more of the lighter isotope into the watershed, lowering the <inline-formula><mml:math id="M30" 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 ratio, while evaporation during the dry season preferentially removes the lighter isotope, raising the <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 ratio. In bivalve shells specifically, variations in <inline-formula><mml:math id="M32" 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 reflect changes in the <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 of the river that depend on hydrological factors such as water temperature, precipitation–evaporation balance, and river runoff during shell formation (Yan et al., 2014). Enriched <inline-formula><mml:math id="M34" 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 are interpreted as reflecting periods of high evaporation during the dry season, while depleted <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 values represent the rainy season. These fluctuations in stable oxygen isotopes between wet and dry seasons are measurable in both fossil and modern shells of <italic>E. elliptica</italic> (Abell et al., 1996; Cohen et al., 2023; Rodrigues, 2000; Tabor et al., 2021; Vonhof et al., 2013). It is important to note that the source of moisture supplying the Atbara River water is the source of the <inline-formula><mml:math id="M36" 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 isotopic composition of its water and consequently the <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 of the shells. To develop a robust interpretation of shell values, it is informative also to examine the isotopic composition of the Atbara River water and compare the Atbara local meteoric water line (ALMWL) to those of other rivers in the region.</p>
      <p id="d2e650">The carbon isotope ratios recorded in river shells are also of interest in that they indicate changes in sources of the organic matter used as the food supply for these mollusks (Rodrigues, 2000). Dissolved inorganic carbon (DIC) is removed from the river by photosynthesizing algae and diatoms, and by the precipitation of carbonates. The <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of shells reflects a complex interaction of paleo-productivity, paleo-atmospheric CO<sub>2</sub>, catchment area vegetation, and weathering (Graniero et al., 2021). However, shell carbonates were often found not to reflect the predicted equilibrium fractionation (Graniero et al., 2021; Kelemen et al., 2017; Stringer and Prendergast, 2023; Yan et al., 2012). Most explanations refer this offset to the additional contribution of metabolic effects, which result in depleted <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values, and kinetic effects or mixing between multiple sources of DIC (Geist et al., 2005; Graniero et al., 2021; Kelemen et al., 2017; Yan et al., 2012).</p>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Environmental and geological setting</title>
      <p id="d2e692">The Atbara River is the northernmost major tributary of the Nile River, originating in the Ethiopian Highlands and draining portions of Eritrea before joining the Nile near Atbara city in Sudan (Fig. 1). The Atbara River contributes approximately 14 % of the Nile's total water discharge (Cockerton et al., 2013). Its hydrological behavior is highly variable, exhibiting extreme and rapid fluctuations in discharge (Whiteman, 1971). This pronounced variability is primarily driven by the river's position near the northernmost extent of the Intertropical Convergence Zone (ITCZ) during the summer months, where seasonal shifts in rainfall patterns within the catchment area lead to sudden and intense changes in river flow (Cockerton et al., 2013; Gebremicael et al., 2017). In the middle reach of the valley, these seasonal changes in river discharge are dampened due to dam construction. Two dams have been built within the study area (Fig. 1): the Khashm El Girba Dam, which was completed in 1964 (Adam and Suleiman, 2022); and the Upper Atbara–Setit Dam Complex, which was inaugurated in 2017.</p>
      <p id="d2e695">The regional geology of the study area consists of several distinct geological units, beginning with the Precambrian basement complex (Whiteman, 1971), which is exposed at various locations along the riverbanks. The Precambrian basement is overlain by the Late Cretaceous Gedaref Formation (Eisawi and Schrank, 2009), followed by a sedimentary kaolinitic unit attributed to the Early Eocene (Chialvo, 2000). Overlaying these units lies a sequence of Miocene basalts, overlain by the thick Pleistocene sedimentary deposits that form the focus of this study. The sequence is capped by recent black cotton soils (Abbate et al., 2010). Two stratigraphic levels – the Butana Bridge Synthem (BBS) and the Kashm El Girba Synthem (KGS) – have been identified within the late Middle and Late Pleistocene deposits of the middle Atbara River (Abbate et al., 2010). These units are further subdivided into subsynthems: BBS, KGS1, KGS2, and KGS3 (Abbate et al., 2010). These subsynthems have been dated using OSL methods to approximately age ranges 224–160, 160–130, 130–60, and <inline-formula><mml:math id="M41" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30–<inline-formula><mml:math id="M42" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 17 ka, respectively (Tsukamoto et al., 2022). The OSL ages provide a chronological framework for interpreting precipitation seasonality recorded by the shells and for placing these seasonal signals within their stratigraphic context, allowing comparisons of both temperature and precipitation seasonality (primary determinants of both vegetation and faunal composition) between the Pleistocene and modern times. Specifically, we sought to examine whether rainfall seasonality in the past was similar to that of today.</p>
      <p id="d2e712">During the Late Pleistocene, eastern Africa experienced climatic fluctuations driven by orbital forces (<inline-formula><mml:math id="M43" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 200 to 60 ka) (Svenning et al., 2024), Heinrich events (<inline-formula><mml:math id="M44" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 60 ka) (Schaebitz et al., 2021), and local insolation variability, which affected temperature and rainfall seasonality (Blome et al., 2012).  The Pleistocene sediments along the middle Atbara River dated <inline-formula><mml:math id="M45" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 224 to 17 ka (Tsukamoto et al., 2022) and exhibit arid to semi-arid environments accompanied by a vegetation cover of C<sub>3</sub> and C<sub>4</sub> plants (Mohammednoor et al., 2025). This paleoclimate is further substantiated by mineralogical evidence from the middle Atbara River paleosols, which reveal a gradual transition between arid to semi-arid and seasonal humid environmental conditions throughout the succession, and it is similar to the Late Pleistocene of eastern Africa  (Mohammednoor et al., 2024). Human evolution has been closely linked to both global and regional paleoclimate records (Maslin et al., 2014). Hominins have lived and evolved in African savannas for over 6 million years before eventually dispersing out of Africa. The movement of life and ecosystems within and beyond Africa was likely shaped by climate, with the Nile corridor and its tributaries, including the Atbara River, which might play a key role in providing food and freshwater. Recent paleontological, sedimentological, and archeological discoveries suggest that the Atbara River may have supported distinct faunal dynamics, markedly different from modern community structures, during periods when environmental conditions were favorable (Abbate et al., 2010; Tabor et al., 2021; Tsukamoto et al., 2022). The climatic oscillations between glaciation and interglaciation phases during the Pleistocene had a profound impact on the composition and distribution of mammalian faunal communities across Africa. These oscillations instigated recurrent habitat fragmentation, resulting in the isolation of plant and animal populations. However, this process ultimately facilitated an increase in biodiversity, while concurrently influencing human demographic patterns, behavioral adaptations, and technological innovations (Blome et al., 2012). The understanding of paleoenvironment and climate factors of the past <inline-formula><mml:math id="M48" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 200 ka is well known from South Africa and the East African Rift Valley, but the Sahelian region remains unclear (Blome et al., 2012).</p>
      <p id="d2e762">The profiles at Al Sharafa and Al Tomat each comprise approximately 40 m of sediments, consisting of coarse-grained river channel deposits and fine-grained floodplain sediments. These sediments are arranged in sequences (synthems), with the main sequences named by Abbate et al. (2010) as subsystems (subsynthems). At the base of the sequences, coarse-grained channel sediments overlay deep erosional incisions and transition upward into fine-grained floodplain sediments, which contain interbedded paleosols. Sandy sediments from smaller channels are embedded within the upper floodplain sediments. The Al Muraaba profile consists of only one sequence, which at its base is composed of a very coarse-grained, large-scale cross-bedded river channel fill that is overlain by floodplain sediments containing small sandy channel fills. In all profiles, fossil <italic>E. elliptica</italic> occurs exclusively in coarse-grained river channel sediments. In the Al Tomat profile, they form partly autochthonous patch reefs, while in the Al Sharafa and Al Muraaba profiles, they occur as allochthonous redeposited shells within the river channel sediments.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Material and methods</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Freshwater oyster samples</title>
      <p id="d2e783">A total of 14 <italic>E. elliptica</italic> shell specimens (11 fossils, 3 modern) were collected from the middle Atbara River between 2018 and 2022. Fossil shells are relatively common within the Pleistocene Atbara sediments, occurring either as isolated shells or large reef colonies. The fossil specimens were collected from different stratigraphic horizons within the Atbara sedimentary sequence at three different locations: Al Sharafa, Al Tomat, and Al Murabaa (Fig. 1; Table 1). The fossil specimen collected from Al Murabaa is tentatively assigned to the BBS1 based on its position within gravelly channels directly above the Cretaceous Gedaref Formation.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e792"><italic>Etheria elliptica</italic> specimens and their associated stratigraphic levels, their lengths (maximum dorsal ventral length), and their corresponding calculated ages, localities and coordinates. NA denotes not applicable.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Specimen number</oasis:entry>
         <oasis:entry colname="col2">Stratigraphic unit</oasis:entry>
         <oasis:entry colname="col3">Shell maximum</oasis:entry>
         <oasis:entry colname="col4">Estimated age</oasis:entry>
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">Coordinates </oasis:entry>
         <oasis:entry colname="col7">Locality</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">length (cm)</oasis:entry>
         <oasis:entry colname="col4">(years)</oasis:entry>
         <oasis:entry colname="col5">North</oasis:entry>
         <oasis:entry colname="col6">East</oasis:entry>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Su F7/2019</oasis:entry>
         <oasis:entry colname="col2">BBS1?</oasis:entry>
         <oasis:entry colname="col3">8</oasis:entry>
         <oasis:entry colname="col4">2.06</oasis:entry>
         <oasis:entry colname="col5">14°17<sup>′</sup>11.5<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col6">35°52<sup>′</sup>27.7<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col7">Al Murabaa</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">22-04A</oasis:entry>
         <oasis:entry colname="col2">BBS2</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">13.3</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">6.1</oasis:entry>
         <oasis:entry colname="col5">15°4<sup>′</sup>41.6<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col6">35°57<sup>′</sup>29.2<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col7">Al Sharafa</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">22-04B</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">5.8</oasis:entry>
         <oasis:entry colname="col4">1.31</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Su F10/2019</oasis:entry>
         <oasis:entry colname="col2">lower KGS2</oasis:entry>
         <oasis:entry colname="col3">15.5</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M57" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 15</oasis:entry>
         <oasis:entry colname="col5">14°20<sup>′</sup>18.2<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col6">35°50<sup>′</sup>30.2<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col7">Al Tomat</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Su F13/2019A</oasis:entry>
         <oasis:entry colname="col2">lower KGS2</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">9.3</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">2.62</oasis:entry>
         <oasis:entry colname="col5">14°20<sup>′</sup>35.8<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col6">35°50<sup>′</sup>17.8<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col7">Al Tomat</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Su F13/2019B</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">8.5</oasis:entry>
         <oasis:entry colname="col4">2.26</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Su F14/2019A</oasis:entry>
         <oasis:entry colname="col2">lower KGS2</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">9.5</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">2.72</oasis:entry>
         <oasis:entry colname="col5">14°20<sup>′</sup>41.9<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col6">35°50<sup>′</sup>10.4<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col7">Al Tomat</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Su F14/2019B</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">8.5</oasis:entry>
         <oasis:entry colname="col4">2.26</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Su 25/2018A</oasis:entry>
         <oasis:entry colname="col2">lower KGS2</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">NA</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5">14°18<sup>′</sup>55<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col6">35°50<sup>′</sup>44<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col7">Al Tomat</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Su 25/2018B</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3">NA</oasis:entry>
         <oasis:entry colname="col4">NA</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Su 73/2020</oasis:entry>
         <oasis:entry colname="col2">Base KGS3</oasis:entry>
         <oasis:entry colname="col3">12</oasis:entry>
         <oasis:entry colname="col4">4.42</oasis:entry>
         <oasis:entry colname="col5">14°59<sup>′</sup>09.2<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col6">35°55<sup>′</sup>10.1<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col7">Al Sharafa</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">M4/2019</oasis:entry>
         <oasis:entry colname="col2">Modern (2016 to post 2019)</oasis:entry>
         <oasis:entry colname="col3">13.7</oasis:entry>
         <oasis:entry colname="col4">6.95</oasis:entry>
         <oasis:entry colname="col5">14°18<sup>′</sup>42.5<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col6">35°50<sup>′</sup>59.9<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col7">Al Tomat</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry rowsep="1" colname="col1">Oy/2021/A</oasis:entry>
         <oasis:entry rowsep="1" colname="col2">Modern (2013 to post 2019)</oasis:entry>
         <oasis:entry rowsep="1" colname="col3">8</oasis:entry>
         <oasis:entry rowsep="1" colname="col4">2.06</oasis:entry>
         <oasis:entry colname="col5">14°18<sup>′</sup>42.1<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col6">35°50<sup>′</sup>59.0<sup>′′</sup></oasis:entry>
         <oasis:entry colname="col7">Al Tomat</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Oy/2021/B</oasis:entry>
         <oasis:entry colname="col2">Modern (2008 to 2012)</oasis:entry>
         <oasis:entry colname="col3">11</oasis:entry>
         <oasis:entry colname="col4">3.6</oasis:entry>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e1566">The modern specimen Oy/2021A likely lived prior to the opening of the Upper Atbara–Setit Dam Complex. Specimen Oy/2021B is more definitively assigned to the period before the dam's construction or during its early construction phase – before the river flow was altered by the formation of the dam's reservoir. In contrast, specimen M4/2019 appears to have lived during the final stages of dam construction and the period following its completion.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Water samples</title>
      <p id="d2e1578">Sample AH1/2021: approximately 30 mL of water was collected from the west bank of the Atbara River at Al Tomat on 20 February 2021. This was collected in ten 3 mL glass tubes for stable oxygen and deuterium isotopes analyses. The sampling site is located between the Khashm El Girba Dam to the north and the Upper Atbara–Setit Dam Complex to the east. The remaining water samples were collected as described by Mohammednoor et al. (2025) from three locations (Al Sharafa, Wadi Turk, and Khashm El Girba) along the middle Atbara River during the 2022 field season in February (Table 3).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>X-ray diffraction (XRD)</title>
      <p id="d2e1589">For the XRD analyses, approximately 2 g of material was collected from the inner parts of the shells. The material was ground to an analytical fineness using an agate mortar. Subsequently, randomly oriented powders were measured using a Bruker D2 diffractometer in the 3 to 80° 2<inline-formula><mml:math id="M86" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> range at 30 kV and 10 mA, with a step size of 0.01° and a measurement time of 1 s per step, using Cu K<inline-formula><mml:math id="M87" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> radiation. The mineralogical composition was evaluated using the SmartLab II software from Rigaku and the PDF-4 database.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Radiocarbon dating of the modern samples</title>
      <p id="d2e1614">All modern shells (M4/2019, Oy/2021A, Oy/2021B) were analyzed using radiocarbon dating to determine whether they lived before or after the reconstruction of the Upper Atbara–Setit Dam Complex. This analysis specifically aimed to assess whether their lifetimes occurred prior to or following the hydrological changes caused by the dam's construction and subsequent opening. Radiocarbon dating was carried out by the Beta Analytic Laboratory (Miami, USA). All work was conducted at Beta in-house using NEC accelerator mass spectrometers and four Thermo IRMSs. Radiocarbon ages were corrected for isotopic fractionation and calibrated to calendar years using the IntCal20 calibration curve (Christie, 2018; Reimer et al., 2020). Ages beyond the modern reference are reported as percent modern carbon (pMC). Reported errors represent <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> counting statistics.</p>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><title>Optically stimulated luminescence (OSL) dating</title>
      <p id="d2e1636">The geochronology of the Al Sharafa section based primarily on OSL dating was previously described by Tsukamoto et al. (2022) and Mohammednoor et al. (2024). In this study, new OSL ages are reported for the Al Tomat section. Five OSL samples (Su70/2019, Su75/2019, Su82/2019, Su86/2019, and Su90/2019; Fig. 1) were collected in 2019 using opaque plastic tubes. Extra materials surrounding the OSL tubes were also collected for environmental dose rate estimation. The luminescence sample preparation was conducted in the laboratory to extract quartz and K-feldspar fractions at the LIAG (Institute for Applied Geophysics, Hannover), following the standard procedure described in Tsukamoto et al. (2022). This included sieving, acid treatments, density separation, and HF etching (for quartz only). However, due to the basaltic composition of the sediments, the K-feldspar fraction (<inline-formula><mml:math id="M89" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M90" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 2.58) was presumed not containing K-feldspar, because it did not emit any infrared stimulated luminescence signal. Only one sample (Su75/2019) yielded <inline-formula><mml:math id="M91" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 mg of quartz for a fraction of 100–150 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. The second attempt was made to extract quartz using all materials <inline-formula><mml:math id="M93" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 150 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m, since relatively large quartz grains in the sediments were observed during the fieldwork. Through the second preparation, <inline-formula><mml:math id="M95" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 mg and 1 g of quartz from Su86/2019 and Su90/2019 were extracted, respectively. The grain size of these two quartz samples were determined under the optical microscope. The quartz OSL measurements were done using a Risø TL/OSL DA-20 reader equipped with blue and infrared (IR) LEDs as stimulation light sources, an EMI 9235QB photomultiplier tube, and a calibrated <sup>90</sup>Sr <inline-formula><mml:math id="M97" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <sup>90</sup>Y beta source. Equivalent doses of quartz were measured using a single aliquot regenerative dose protocol, using a preheat of 260 °C (10 s) and a cut heat of 240 °C (0 s), which was used in Tsukamoto et al. (2022) after optimizing the heating conditions. At least 24 small aliquots of 1–2 mm diameter on stainless steel disks were measured to calculate the equivalent dose (<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) values. Mean <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values and <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula> standard error were used to calculate OSL ages, excluding aliquots, for which the natural OSL signal was in saturation. Dose rates for the samples were measured using high-resolution gamma spectrometry with a pure Ge detector. The measured gamma rays from U, Th, and K were converted to dose rates using the conversion factors of  Liritzis et al. (2013) and R scripts of Zhang and Tsukamoto (2025). More details about the procedures of OSL dating can be found in Tsukamoto et al. (2022).</p>
</sec>
<sec id="Ch1.S4.SS6">
  <label>4.6</label><title>Serial stable isotope analysis</title>
      <p id="d2e1757">Sections of <italic>E. elliptica</italic> shells were prepared using a regular rotating table saw that uses water during the cutting process, in the paleontology preparation laboratory at the Museum für Naturkunde, Berlin. Cross-sections were taken through the thickest growth direction of the shell perpendicularly to the surface (Fig. 2). Most shells were sectioned in or near the umbo. The significance of this section from the umbo to the innermost layer is that it corresponds almost to the whole age of the animal as it represents all accretionary calcium carbonate layers from the beginning when the growth rate is high to the younger parts when the growth rates are slow and constant after the fifth year. One section (M4/2019) reflects a time span of younger layers, shown by the ventral side of a shell which records the later stages of the animal. Sectioning was repeated for the 22-04 and Su 73/2020 samples as the former sections are fragile and breakable during successive drilling. Every cross-section was examined under the microscope before drilling to assess the preservation condition of the sample, to check for sediments or precipitates within the layers, and to choose the best layers to drill. The number of samples taken from each <italic>E. elliptica</italic> varied depending on the thickness of the cross-section and the visible condition of the successive bands. Layers were drilled in a specific sequence after drying, starting from older/outer to younger/inner layer; however, in some specimens, the succession is not clear, especially when two shells are attached to each other. Between six and 26 samples were taken from each shell (without counting the secondary mineral infill samples). Layers with precipitates were avoided as much as possible. Some specimens (Su F14/2019/B–Su F10/2019) have secondary mineral infill which were sampled to examine its values, with the aim of investigating the occurrence of any anomalous isotope values that may indicate recrystallization or mineral precipitation. The drill bit and the surface of the shell were cleaned for every drilling process to minimize contamination. Generally, drilling was repeated several times as the sample powder obtained was often not sufficient, or due to mixing with adjacent layers or sample loss. For oxygen and carbon isotope measurements of carbonate samples, approximately 100–400 <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g of sample material was put into a clean 10 mL exetainer. After sealing the exetainer with a septum cap (caps and septa for LABCO exetainer 438b), the remaining air was removed by flushing the exetainer with He (4.6) for 6 min at a flow of 100 mL min<sup>−1</sup>. After flushing, approximately 30 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L of anhydrous phosphoric acid was injected through the septum into the sealed exetainer by using a disposable syringe. After approximately 1.5 hours of reaction time at 50 °C, the sample is ready for isotope measurement.</p>
      <p id="d2e1794">The oxygen and carbon isotopic composition in the CO<sub>2</sub> in the headspace were measured using a Thermo Finnigan GASBENCH II coupled online with a Thermo Finnigan Delta V isotope ratio mass spectrometer. Reference gas was pure CO<sub>2</sub> (4.5) from a cylinder calibrated against the Vienna Pee Dee Belemnite (VPDB) standard using International Atomic Energy Agency (IAEA) reference materials (NBS 18, NBS 19). Isotope values are shown in the conventional delta notation (<inline-formula><mml:math id="M107" 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="M108" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C) in per mil (‰) versus VPDB. The reproducibility of replicate measurements of lab standards (limestone) is generally better than 0.10 ‰ (1 standard deviation).</p>
      <p id="d2e1837">Statistical analysis was conducted in R to test the differences in <inline-formula><mml:math id="M109" 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 <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values between fossils from each sedimentary unit, between the KGS, BBS, and modern levels.</p>
</sec>
<sec id="Ch1.S4.SS7">
  <label>4.7</label><title>Oxygen and hydrogen isotope measurements in water samples</title>
      <p id="d2e1870">Stable isotope ratios of oxygen (<sup>18</sup>O <inline-formula><mml:math id="M112" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <sup>16</sup>O) and hydrogen (<sup>2</sup>H <inline-formula><mml:math id="M115" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <sup>1</sup>H) in H<sub>2</sub>O in water samples were measured with a PICARRO L1102-i isotope analyzer. The L1102-i is based on the WS-CRDS (wavelength-scanned cavity ring-down spectroscopy) technique (Gupta et al., 2009). Measurements were calibrated by the application of linear regression of the analyses of IAEA calibration material VSMOW, VSLAP, and GISP. The stable isotope ratios of oxygen and hydrogen are expressed in the conventional delta notation (<inline-formula><mml:math id="M118" 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="M119" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D) in per mil (‰) versus VSMOW. For each sample, six replicate injections were performed, and arithmetic average and standard deviations (<inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">σ</mml:mi></mml:mrow></mml:math></inline-formula>) calculated. The reproducibility of replicate measurements is generally better than 0.1 ‰ for oxygen and 0.5 ‰ for hydrogen.</p>
</sec>
<sec id="Ch1.S4.SS8">
  <label>4.8</label><title>Age calculation</title>
      <p id="d2e1969">Age estimation followed Akélé et al. (2015), using the von Bertalanffy growth equation:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M121" display="block"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi>k</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>

          To estimate shell age, the equation can be rewritten as

            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M122" display="block"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>k</mml:mi><mml:mo>)</mml:mo><mml:mi>ln⁡</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">t</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M124" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> mean length at age <inline-formula><mml:math id="M125" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>; <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:msub><mml:mi>L</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M127" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> asymptotic length, equal to 14.75 cm as determined by Akélé et al. (2015); <inline-formula><mml:math id="M128" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M129" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> growth coefficient, equal to 0.38 yr<sup>−1</sup> as determined by Akélé et al. (2015); <inline-formula><mml:math id="M131" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M132" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> age of the <italic>E. elliptica</italic> in years; and <inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M134" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> hypothetical age at which the length is zero, which was assumed to be zero.</p>
</sec>
<sec id="Ch1.S4.SS9">
  <label>4.9</label><title>Quantifying seasonality</title>
      <p id="d2e2185">Seasonality in this study refers to intra-annual variations in shell <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 values that reflect seasonal changes in river water temperature and isotopic composition during shell growth. In the Atbara River system, these variations are interpreted to be primarily driven by changes in water chemistry associated with wet (high discharge) and dry (low discharge) seasons (Tabor et al., 2021). Because freshwater bivalves accrete sequential carbonate layers, the isotopic composition measured along growth layers should record temporal environmental variation, capturing seasonal cycles. In theory, seasonal cycles should be recognizable as successive peaks and troughs in <inline-formula><mml:math id="M136" 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, representing seasonal cycles. However, given sampling resolution and number, confident identification of individual cycles and cycle counting was rarely possible with our data. Instead, we used the distribution (range and standard deviation) of <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 values within each specimen as a proxy for the overall amplitude of seasonality. We interpret the spread of values in the isotopic profiles as reflecting seasonal fluctuations within the river system. Seasonal amplitudes were then summarized by stratigraphic unit, allowing comparison of seasonal variability across time intervals. The standard deviation was a preferred measure of variability than range as it is less sensitive to extreme or outlier values.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Results</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Shell mineralogy</title>
      <p id="d2e2239">The XRD analyses show that the modern <italic>E. elliptica</italic> shells (Oy/2021A, Oy/2021B, M4/2019) are practically monomineralic, consisting of aragonite beyond trace amounts of calcite. Sample Oy/2021A contains traces of quartz. The fossil <italic>E. elliptica</italic> shells also consist almost exclusively of aragonite, with the exception of sample Su 73/2020, which contains significant amounts of calcite (see the Supplement). No other minerals were detected in the samples. Thus, except for sample Su 73/2020, we consider these specimens diagenetically unaltered and that their isotope ratios reflect their original composition.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Modern shell ages</title>
      <p id="d2e2256">The calibrated age ranges for the specimens are as follows: M4/2019:2016 to post-2019; Oy/2021A: 2013 to post-2019; Oy/2021B: 2008 to 2012 (see the Supplement). This indicates that they are all quite recent, postdating the age of the Khashm El Girba Dam (1964), but likely the only shell that predates the Upper Atbara–Setit Dam Complex opening is Oy/2021B, and the remaining specimens have an age range spanning before to after the opening of the Upper Atbara–Setit Dam Complex.</p>
</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>OSL chronology results</title>
      <p id="d2e2267">Table 2 shows the results of the dose rate, <inline-formula><mml:math id="M138" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values, and quartz OSL ages for the three samples, ranging from 182 <inline-formula><mml:math id="M139" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 22 to 114 <inline-formula><mml:math id="M140" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 16 ka (Table 2; Fig. 1).</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e2298">Dose rate, equivalent dose, and quartz OSL ages from Al Tomat.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="13">
     <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"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <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:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:colspec colnum="13" colname="col13" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sample ID</oasis:entry>
         <oasis:entry colname="col2">LUM</oasis:entry>
         <oasis:entry colname="col3">Northing</oasis:entry>
         <oasis:entry colname="col4">Easting</oasis:entry>
         <oasis:entry colname="col5">Depth</oasis:entry>
         <oasis:entry colname="col6">Grain</oasis:entry>
         <oasis:entry colname="col7">Water</oasis:entry>
         <oasis:entry colname="col8">U (ppm)</oasis:entry>
         <oasis:entry colname="col9">Th (ppm)</oasis:entry>
         <oasis:entry colname="col10">K (%)</oasis:entry>
         <oasis:entry colname="col11">Dose rate</oasis:entry>
         <oasis:entry colname="col12"><inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Gy)</oasis:entry>
         <oasis:entry colname="col13">OSL</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">ID</oasis:entry>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">(m)</oasis:entry>
         <oasis:entry colname="col6">size</oasis:entry>
         <oasis:entry colname="col7">(%)</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
         <oasis:entry colname="col11">(Gy ka<sup>−1</sup>)</oasis:entry>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13">age (ka)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6">(<inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m)</oasis:entry>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
         <oasis:entry colname="col11"/>
         <oasis:entry colname="col12"/>
         <oasis:entry colname="col13"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Su75/2019</oasis:entry>
         <oasis:entry colname="col2">3988</oasis:entry>
         <oasis:entry colname="col3">14.18724</oasis:entry>
         <oasis:entry colname="col4">35.50842</oasis:entry>
         <oasis:entry colname="col5">14</oasis:entry>
         <oasis:entry colname="col6">100–150</oasis:entry>
         <oasis:entry colname="col7">7</oasis:entry>
         <oasis:entry colname="col8">0.24 <inline-formula><mml:math id="M144" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01</oasis:entry>
         <oasis:entry colname="col9">0.93 <inline-formula><mml:math id="M145" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05</oasis:entry>
         <oasis:entry colname="col10">0.33 <inline-formula><mml:math id="M146" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02</oasis:entry>
         <oasis:entry colname="col11">0.45 <inline-formula><mml:math id="M147" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04</oasis:entry>
         <oasis:entry colname="col12">82.2 <inline-formula><mml:math id="M148" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 6.7</oasis:entry>
         <oasis:entry colname="col13">182 <inline-formula><mml:math id="M149" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 22</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Su86/2019</oasis:entry>
         <oasis:entry colname="col2">3990</oasis:entry>
         <oasis:entry colname="col3">14.19111</oasis:entry>
         <oasis:entry colname="col4">35.50548</oasis:entry>
         <oasis:entry colname="col5">4.2</oasis:entry>
         <oasis:entry colname="col6">110–210</oasis:entry>
         <oasis:entry colname="col7">10</oasis:entry>
         <oasis:entry colname="col8">0.35 <inline-formula><mml:math id="M150" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03</oasis:entry>
         <oasis:entry colname="col9">1.45 <inline-formula><mml:math id="M151" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.07</oasis:entry>
         <oasis:entry colname="col10">0.43 <inline-formula><mml:math id="M152" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03</oasis:entry>
         <oasis:entry colname="col11">0.65 <inline-formula><mml:math id="M153" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05</oasis:entry>
         <oasis:entry colname="col12">81.7 <inline-formula><mml:math id="M154" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10.0</oasis:entry>
         <oasis:entry colname="col13">126 <inline-formula><mml:math id="M155" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 18</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Su90/2019</oasis:entry>
         <oasis:entry colname="col2">3991</oasis:entry>
         <oasis:entry colname="col3">14.19098</oasis:entry>
         <oasis:entry colname="col4">35.50230</oasis:entry>
         <oasis:entry colname="col5">1.5</oasis:entry>
         <oasis:entry colname="col6">160–210</oasis:entry>
         <oasis:entry colname="col7">10</oasis:entry>
         <oasis:entry colname="col8">0.45 <inline-formula><mml:math id="M156" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04</oasis:entry>
         <oasis:entry colname="col9">2.16 <inline-formula><mml:math id="M157" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08</oasis:entry>
         <oasis:entry colname="col10">0.36 <inline-formula><mml:math id="M158" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03</oasis:entry>
         <oasis:entry colname="col11">0.70 <inline-formula><mml:math id="M159" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04</oasis:entry>
         <oasis:entry colname="col12">80.4 <inline-formula><mml:math id="M160" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 10.3</oasis:entry>
         <oasis:entry colname="col13">114 <inline-formula><mml:math id="M161" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 16</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S5.SS4">
  <label>5.4</label><title>Water stable isotopes</title>
      <p id="d2e2749">The water sample AH1/2021 from the Atbara River has <inline-formula><mml:math id="M162" 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 ranging from <inline-formula><mml:math id="M163" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.45 ‰ to <inline-formula><mml:math id="M164" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>0.75 ‰ (average 0.6), with corresponding <inline-formula><mml:math id="M165" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D ranging from <inline-formula><mml:math id="M166" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>16.04 ‰ to 18.70 ‰ (average 17.4) (Table 3). The other water samples derive from the study by Mohammednoor et al. (2025) (Table 3).</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e2794"><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 (VSMOW) and <inline-formula><mml:math id="M168" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D (VSMOW) values of water from the Atbara River.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Sampling</oasis:entry>
         <oasis:entry colname="col2">Sample</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M169" 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="col4"><inline-formula><mml:math id="M170" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D</oasis:entry>
         <oasis:entry colname="col5">Month of</oasis:entry>
         <oasis:entry colname="col6">Publication</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">location</oasis:entry>
         <oasis:entry colname="col2">number</oasis:entry>
         <oasis:entry colname="col3">VSMOW</oasis:entry>
         <oasis:entry colname="col4">VSMOW</oasis:entry>
         <oasis:entry colname="col5">collection</oasis:entry>
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Tekeze River</oasis:entry>
         <oasis:entry colname="col2">Tekeze (wet)</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M171" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.40</oasis:entry>
         <oasis:entry colname="col4">0.00</oasis:entry>
         <oasis:entry colname="col5">October 2010</oasis:entry>
         <oasis:entry colname="col6">Cockerton et al. (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Al Sharafa</oasis:entry>
         <oasis:entry colname="col2">Su42/2022</oasis:entry>
         <oasis:entry colname="col3">3.00</oasis:entry>
         <oasis:entry colname="col4">32.30</oasis:entry>
         <oasis:entry colname="col5">February 2022</oasis:entry>
         <oasis:entry colname="col6">Mohammednoor et al. (2025)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Al Sharafa</oasis:entry>
         <oasis:entry colname="col2">Su06/2022</oasis:entry>
         <oasis:entry colname="col3">2.70</oasis:entry>
         <oasis:entry colname="col4">29.40</oasis:entry>
         <oasis:entry colname="col5">February 2022</oasis:entry>
         <oasis:entry colname="col6">Mohammednoor et al. (2025)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Khasm El Girba</oasis:entry>
         <oasis:entry colname="col2">Su74/2022</oasis:entry>
         <oasis:entry colname="col3">2.10</oasis:entry>
         <oasis:entry colname="col4">23.80</oasis:entry>
         <oasis:entry colname="col5">February 2022</oasis:entry>
         <oasis:entry colname="col6">Mohammednoor et al. (2025)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wadi Turk</oasis:entry>
         <oasis:entry colname="col2">Su51/2022</oasis:entry>
         <oasis:entry colname="col3">2.10</oasis:entry>
         <oasis:entry colname="col4">23.60</oasis:entry>
         <oasis:entry colname="col5">February 2022</oasis:entry>
         <oasis:entry colname="col6">Mohammednoor et al. (2025)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Al Tomat</oasis:entry>
         <oasis:entry colname="col2">AH1/2021</oasis:entry>
         <oasis:entry colname="col3">0.60</oasis:entry>
         <oasis:entry colname="col4">17.40</oasis:entry>
         <oasis:entry colname="col5">February 2021</oasis:entry>
         <oasis:entry colname="col6">This study</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Near Atbara city</oasis:entry>
         <oasis:entry colname="col2">Atbara (wet)</oasis:entry>
         <oasis:entry colname="col3">2.50</oasis:entry>
         <oasis:entry colname="col4">20.80</oasis:entry>
         <oasis:entry colname="col5">December 2010</oasis:entry>
         <oasis:entry colname="col6">Cockerton et al.  (2013)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Near Atbara city</oasis:entry>
         <oasis:entry colname="col2">Atbara (dry)</oasis:entry>
         <oasis:entry colname="col3">1.60</oasis:entry>
         <oasis:entry colname="col4">15.30</oasis:entry>
         <oasis:entry colname="col5">April 2011</oasis:entry>
         <oasis:entry colname="col6">Cockerton et al. (2013)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <p id="d2e3080">The <inline-formula><mml:math id="M172" 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 <inline-formula><mml:math id="M173" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values of the Atbara River are plotted with reference to the global meteoric water line (GMWL) (Fig. 6). There is no statistically significant difference between the Atbara LMWL and the GMWL (<inline-formula><mml:math id="M174" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula>-test for the slope, <inline-formula><mml:math id="M175" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M176" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.08; for the intercept, <inline-formula><mml:math id="M177" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M178" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.7). In comparison with the Blue, White, and main Niles, and the Shinfa River, the Atbara LMWL line does not differ in slope (<inline-formula><mml:math id="M179" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M180" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.05, <inline-formula><mml:math id="M181" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula>-test) except for the Shinfa River (<inline-formula><mml:math id="M182" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M183" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.01, <inline-formula><mml:math id="M184" display="inline"><mml:mi>Z</mml:mi></mml:math></inline-formula>-test) and the same for the intercept which does not differ significantly among these rivers (<inline-formula><mml:math id="M185" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M186" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.05).</p>

      <fig id="F3"><label>Figure 3</label><caption><p id="d2e3197">Scatter plot of <inline-formula><mml:math id="M187" 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>VPDB</sub> and <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<sub>VPDB</sub> values of modern and Pleistocene shells from the middle Atbara River. Modern values are most similar to those from the BBS. Carbon and oxygen values are not correlated. Ellipses represent 95 % confidence regions based on a multivariate <inline-formula><mml:math id="M191" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> distribution.</p></caption>
          <graphic xlink:href="https://egqsj.copernicus.org/articles/75/173/2026/egqsj-75-173-2026-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS5">
  <label>5.5</label><title>Stable oxygen isotopes in shell carbonate samples</title>
      <p id="d2e3262"><inline-formula><mml:math id="M192" 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 (VPDB) values from the three BBS specimens (Su F7/2019, 22-04A, and 22-04B) are from <inline-formula><mml:math id="M193" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.4 ‰ to <inline-formula><mml:math id="M194" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>5.9 ‰, median 1.60 <inline-formula><mml:math id="M195" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.7 ‰, <inline-formula><mml:math id="M196" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.65 <inline-formula><mml:math id="M197" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8 ‰, 1.10 <inline-formula><mml:math id="M198" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1‰, with a mean range of 8.3 <inline-formula><mml:math id="M199" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05 ‰ (error <inline-formula><mml:math id="M200" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 standard deviation), although this is mainly reflecting enriched values in the one specimen from the BBS1 (Fig. 5). The seven specimens from the KGS2 have <inline-formula><mml:math id="M201" 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 between <inline-formula><mml:math id="M202" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.4 ‰ and <inline-formula><mml:math id="M203" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1.4 ‰, median <inline-formula><mml:math id="M204" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.2 <inline-formula><mml:math id="M205" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8 ‰, with an average range of 2.2 <inline-formula><mml:math id="M206" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08 ‰. The KGS3 specimen (Su 73/2020) has values ranging from <inline-formula><mml:math id="M207" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.1 ‰ to <inline-formula><mml:math id="M208" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.3 ‰ and median <inline-formula><mml:math id="M209" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.1 <inline-formula><mml:math id="M210" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 ‰. However, this is unlikely to reflect the original <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 of the shell due to diagenetic alteration into calcite, which is expected to result in more depleted <inline-formula><mml:math id="M212" 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. Accordingly, we excluded it from further <inline-formula><mml:math id="M213" 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 data interpretation. Modern specimens (Oy/2021A, Oy/2021B, and M4/2019) display a range from <inline-formula><mml:math id="M214" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.4 ‰ to <inline-formula><mml:math id="M215" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1.5 ‰, median <inline-formula><mml:math id="M216" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.3 <inline-formula><mml:math id="M217" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.5 ‰, with average range of 3.2 <inline-formula><mml:math id="M218" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰. In specimen Su F10/2019, the mineral infill <inline-formula><mml:math id="M219" 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 of <inline-formula><mml:math id="M220" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.4 ‰ falls within the range of values found in the shell layers. In contrast, in specimen Su F14/2019B, the mineral infill <inline-formula><mml:math id="M221" 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 of <inline-formula><mml:math id="M222" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.7‰ is more depleted than any value observed in the shell layers. Statistical testing revealed significant differences among stratigraphic units. The Fligner–Killeen test indicated heterogeneity of variances between BBS and KGS2, KGS2 and Modern intervals (<inline-formula><mml:math id="M223" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M224" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05), but it shows no significant variation between BBS and Modern intervals (<inline-formula><mml:math id="M225" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M226" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.23), and the pairwise Wilcoxon rank sum test identified no significant differences in medians between all intervals (<inline-formula><mml:math id="M227" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M228" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0.05).</p>
      <p id="d2e3557">The pairwise Wilcoxon rank sum test shows significant differences among the modern Atbara River and all other modern records (<inline-formula><mml:math id="M229" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M230" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05) except for the late Holocene shell from the lower Omo River (<inline-formula><mml:math id="M231" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M232" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.1).</p>
</sec>
<sec id="Ch1.S5.SS6">
  <label>5.6</label><title>Stable carbon isotopes</title>
      <p id="d2e3596">Specimens of the BBS interval show <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values ranging from <inline-formula><mml:math id="M234" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>14.1 ‰ to <inline-formula><mml:math id="M235" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.1 ‰ with median <inline-formula><mml:math id="M236" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.9 <inline-formula><mml:math id="M237" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.6 ‰ (<inline-formula><mml:math id="M238" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M239" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3). The KGS2 shells have a range from <inline-formula><mml:math id="M240" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.8 ‰ to <inline-formula><mml:math id="M241" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.7 ‰, median <inline-formula><mml:math id="M242" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.4 <inline-formula><mml:math id="M243" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.0 ‰ (<inline-formula><mml:math id="M244" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M245" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 7). The only shell from the KGS3 has a range from <inline-formula><mml:math id="M246" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.1 ‰ to <inline-formula><mml:math id="M247" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.7‰ and median <inline-formula><mml:math id="M248" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.7 <inline-formula><mml:math id="M249" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.6 ‰. Although this sample is altered to calcite, it is likely to reflect the original <inline-formula><mml:math id="M250" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of the shell (Ritter et al., 2017; Zhang et al., 2014). The modern Atbara River shells have <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values ranging from <inline-formula><mml:math id="M252" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>16.9 ‰ to <inline-formula><mml:math id="M253" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.6 ‰ and median <inline-formula><mml:math id="M254" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.4 <inline-formula><mml:math id="M255" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.6 ‰ (<inline-formula><mml:math id="M256" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M257" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3; Fig. 4). The secondary mineral infill shows <inline-formula><mml:math id="M258" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of <inline-formula><mml:math id="M259" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.4 ‰ for Su F14/2019B and <inline-formula><mml:math id="M260" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.2 ‰ for Su F10/2019. These values fall within the shell <inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C ranges observed for these specimens. The Kruskal–Wallis rank sum and pairwise Wilcoxon tests show that each interval (BBS, KGS, modern) has a distinct range of <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values (<inline-formula><mml:math id="M263" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M264" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05). The pairwise Wilcoxon test shows no significant differences between the modern Atbara, Shinfa (<inline-formula><mml:math id="M265" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M266" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.2), and Omo (<inline-formula><mml:math id="M267" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M268" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.059) rivers, in contrast to the North Turkana, Late Holocene, and Middle Holocene records (<inline-formula><mml:math id="M269" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M270" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05).</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e3897">Comparison between <italic>Etheria</italic> <inline-formula><mml:math id="M271" 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>VPDB</sub> and  <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<sub>VPDB</sub> of the middle Atbara River (this study), Shinfa River (Tabor et al., 2021), Omo River (Vonhof et al., 2013), and Turkana basin (East Turkana, Lower Omo, North Turkana) (Cohen et al., 2023) through different stratigraphic levels from the Pleistocene (colored) to the Holocene/Modern. Isotope data are plotted as box and whisker diagrams (showing median, first, and third quartiles, and maximum/minimum or 1.5 <inline-formula><mml:math id="M275" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> interquartile range from first and third quartiles).</p></caption>
          <graphic xlink:href="https://egqsj.copernicus.org/articles/75/173/2026/egqsj-75-173-2026-f04.png"/>

        </fig>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e3959">Serial <inline-formula><mml:math id="M276" 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>VPDB</sub> and <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<sub>VPDB</sub> profiles of the Pleistocene and modern <italic>E. elliptica</italic> from the middle Atbara River. Left to right indicates earlier to later growth stages, respectively.</p></caption>
          <graphic xlink:href="https://egqsj.copernicus.org/articles/75/173/2026/egqsj-75-173-2026-f05.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS7">
  <label>5.7</label><title>Ontogenetic ages and sampling resolution</title>
      <p id="d2e4019">Based on their size, the <italic>E. elliptica</italic> in this study were estimated to range from <inline-formula><mml:math id="M280" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 to <inline-formula><mml:math id="M281" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 15 years (Table 1). The age of Su 25/2018 could not be estimated because the specimen could not be relocated after sampling. Su F10/2019 has a length of 15.5 cm, which exceeds the asymptotic length constant of the equation (14.75 cm); therefore, its age is assumed to be greater than 15 years.</p>
      <p id="d2e4039">Based on the growth rate of <italic>E. elliptica</italic> (2.55, 4.66, 7.85, 10.03, 11.52, and 12.54 cm by 0.5, 1, 2, 3, 4, and 5 years of age, respectively) in Akélé et al. (2015), our shell lengths indicate that each shell transect spans at least one complete annual cycle of carbonate precipitation. In older specimens, the dramatic reduction in the annual growth increments after <inline-formula><mml:math id="M282" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4 years of growth makes it challenging to capture seasonal cycles in detail, as the increasingly closely spaced layering makes sampling challenging. As a result, cycle counting in this context is unreliable. In contrast, the von Bertalanffy growth function does not rely on the assumption of annual cyclicity but instead integrates overall growth patterns and accounts for growth rates, providing a more realistic estimate of age when clear periodicity cannot be defined in detail.</p>
</sec>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Discussion</title>
<sec id="Ch1.S6.SS1">
  <label>6.1</label><title>Paleoseasonality of rainfall</title>
      <p id="d2e4068">As noted above, XRD results indicate that all modern and fossil Atbara River shells, apart from Su 73/2020, show no significant alteration of the original aragonite mineralogy, indicating that isotope ratios should not be affected by diagenetic alteration. Variation in <inline-formula><mml:math id="M283" 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 is observed in all samples shells, which we interpret as reflecting seasonal fluctuations within the river system. Broadly, increase and decrease in <inline-formula><mml:math id="M284" 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 is taken to correspond to shifts between wetter and drier conditions, although, as noted above, individual seasonal cycles are not precisely resolved due to low sampling and changing growth rates. Our fossil data show that during the Middle to Late Pleistocene, the Atbara River system experienced pronounced seasonality, with strong contrasts between wet and dry seasons, much as it does today. A single specimen, likely deriving from the BBS1 level, shows high variability and significantly more enriched <inline-formula><mml:math id="M285" 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 than all other later fossil and modern specimens. This suggests the presence of significantly drier and potentially more seasonal rainfall during BBS1 times (<inline-formula><mml:math id="M286" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 224 <inline-formula><mml:math id="M287" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 23 ka). This is generally consistent with sedimentological studies that found more arid conditions during BBS times (Mohammednoor et al., 2024), although these only sampled the BBS2 and BBS3 intervals. Further specimens would be needed to more confidently conclude a climatic shift between BBS1 and later units. In contrast to the BBS shells, the KGS2 shells exhibit significantly lower variability than those of any other interval, with a small range (<inline-formula><mml:math id="M288" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 2 ‰) likely indicating slightly wetter conditions and lower seasonal variability. The single shell from the KGS3 shows depleted values, at first sight suggesting wetter conditions during this interval, but since this shell exhibits significant alteration of its original aragonite mineralogy, its oxygen isotopic signal should not be considered reliable. The three modern Atbara River shells exhibit a considerable range in <inline-formula><mml:math id="M289" 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 from 1.7 ‰ to 7.9 ‰, reflecting highly seasonal precipitation of the area today, consistent with its actual rainfall pattern (Williams, 2018). For comparison, modern <italic>E. elliptica</italic> shells from the highly seasonal Shinfa River in Ethiopia exhibit a <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 range of <inline-formula><mml:math id="M291" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4.1 ‰ (Tabor et al., 2021). The three modern Atbara River shells were collected from Al Tomat, which is bounded by dams to the north and south (Fig. 1). Radiocarbon dating indicates all three shells spent their lifetime after the construction of the Khashm El Girba Dam (1964) and, with the exception of Oy/2021B, after the inauguration of the Upper Atbara–Setit Dam Complex (2017). The presence of artificial reservoirs is expected to have reduced the amplitude of natural hydrological variability, but the high <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 range still suggests that, even under regulated flow conditions, the seasonal cycle of the Atbara River remains detectable in these shells.</p>
      <p id="d2e4169">The <inline-formula><mml:math id="M293" 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 recorded in these shells likely reflects summer monsoon activity that enhanced precipitation in the region during boreal summers (Blome et al., 2012). The amplitude of this seasonality appears to have declined during the deposition of the KGS2 unit, potentially reflecting a long-term climatic shift toward a less seasonal variability between <inline-formula><mml:math id="M294" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 130 and <inline-formula><mml:math id="M295" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 ka. This long-term variability was most likely driven by orbital-scale climatic forcing, particularly of the precession cycle, which modulates the intensity and timing of solar insolation at low latitudes (Blome et al., 2012; Kutzbach et al., 2008; Clark et al., 2009), in turn influencing the strength and position of the Intertropical Convergence Zone (ITCZ), a main driver of rainfall in the Sahel province in eastern Africa. When insolation over the Northern Hemisphere reached the highest peak during summer, the ITCZ shifted northward, intensifying monsoonal rainfall and enhancing river discharge. Conversely, periods of reduced insolation weakened monsoon strength, leading to lower river flow and reduced seasonality due to rainfall decrease. Thus, the Atbara River's seasonal history might reflect a complex interplay between global orbital forcing, regional monsoon dynamics, and more recent dam modifications.</p>
</sec>
<sec id="Ch1.S6.SS2">
  <label>6.2</label><title>Sources of <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C</title>
      <p id="d2e4217">It is unclear whether the <inline-formula><mml:math id="M297" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of aragonitic shells mainly reflect sources of dissolved inorganic carbon (DIC) in their host water or changes in metabolic activity (Graniero et al., 2021; Kelemen et al., 2017; McConnaughey and Gillikin, 2008; Yan et al., 2012). Atmospheric CO<sub>2</sub>, the weathering rate of surrounding rocks (especially in the catchment area in the Ethiopian highlands where the amount of rain received is high compared to the middle reaches of the Atbara River), soil respiration, vegetation type, biological productivity, and groundwater are all possible sources of DIC in the Atbara River (Darling et al., 2005). Unfortunately, no information is available on <inline-formula><mml:math id="M299" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of DIC from the Atbara River today, making it difficult to reconstruct the amount of contribution of these possible sources and their controls on the <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of <italic>Etheria</italic> shells.</p>
      <p id="d2e4265">We found that <inline-formula><mml:math id="M301" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C in both fossil and recent samples showed no correlation with their corresponding <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 values (see Fig. 3), which might indicate that <inline-formula><mml:math id="M303" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values were not affected by precipitation seasonality. This differs from the Omo River shells, where a correlation between <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math id="M305" 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 was interpreted to be the result of seasonal groundwater input into the river, simultaneously affecting both O and C ratios (Vonhof et al., 2013). This seems not to have been the case in both the Pleistocene and modern Atbara Rivers, where processes associated with precipitation, biological productivity, and organic matter mineralization may exhibit different seasonal dynamics, such that <inline-formula><mml:math id="M306" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C and <inline-formula><mml:math id="M307" 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 are not necessarily expected to vary synchronously.</p>
      <p id="d2e4346">However, each interval (BBS, KGS, Modern) shows a distinct range of <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values that differ significantly (Fig. 4). The BBS has more enriched values than the modern shells, and the KGS samples have the most enriched <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values. Alternately, <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C enrichment might reflect relatively lower atmospheric CO<sub>2</sub> concentration during BBS and especially KGS2-3 times (<inline-formula><mml:math id="M312" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 220–17 ka) (Da et al., 2019; Lee et al., 2021; Schmitt et al., 2012). Reconstructed atmospheric CO<sub>2</sub> concentration levels estimated from ice cores and boron isotopes indicate that <inline-formula><mml:math id="M314" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula>CO<sub>2</sub> was <inline-formula><mml:math id="M316" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 260 ppm during BBS times and <inline-formula><mml:math id="M317" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 180 ppm during the KGS2 interval (Henehan et al., 2013; Hönisch and Hemming, 2005). Conversely, the lower <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values of modern shells might be due to higher modern atmospheric CO<sub>2</sub> levels (Bauska, 2025; Vonhof et al., 2013; Lerner et al., 2025). However, the lack of modern DIC data from the Atbara River means we cannot determine the exact sources of shell <inline-formula><mml:math id="M320" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values with confidence. Our results therefore indicate major shifts in Atbara River <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C values sometime between the BBS2 and KGS2 (<inline-formula><mml:math id="M322" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 160–130 ka), and again between the basal KGS3 (<inline-formula><mml:math id="M323" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 25 ka) and today, although the reasons for these changes are not immediately clear.</p>
</sec>
<sec id="Ch1.S6.SS3">
  <label>6.3</label><title>Modern regional comparisons</title>
      <p id="d2e4503">The average <inline-formula><mml:math id="M324" 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 range of the modern <italic>E. elliptica</italic> from the Atbara River (mean range <inline-formula><mml:math id="M325" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.1 ‰, SD <inline-formula><mml:math id="M326" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.24, <inline-formula><mml:math id="M327" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M328" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 31) is significantly lower than that from the Shinfa River (mean range <inline-formula><mml:math id="M329" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.1 ‰, SD <inline-formula><mml:math id="M330" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.76, <inline-formula><mml:math id="M331" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M332" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 14) (Tabor et al., 2021) (Fig. 4). This is consistent with the fact that the Shinfa River is extremely seasonal, characterized by strong wet (high discharge) and dry (low discharge) episodes, which is also reflected in the high <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 range of its water (Tabor et al., 2021). In contrast, the <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 range of modern <italic>E. elliptica</italic> from the Omo River (mean range <inline-formula><mml:math id="M335" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.9 ‰, <inline-formula><mml:math id="M336" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M337" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 29) is significantly lower than that in the modern Atbara River (Vonhof et al., 2013), indicating less seasonal conditions. This is also consistent with more depleted <inline-formula><mml:math id="M338" 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 in the Omo in comparison to the Atbara and Shinfa rivers, indicating less evaporative conditions. Modern <italic>E. elliptica</italic> shells from the northern Turkana basin or the lower Omo (Cohen et al., 2023), and therefore still under the influence of the Omo River, have <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 values that show a comparable range to the Atbara River (2.14 ‰, SD <inline-formula><mml:math id="M340" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.57, <inline-formula><mml:math id="M341" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M342" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 26); however, they are significantly more depleted, reflecting the year-round input from the Omo River. Late Holocene <italic>E. elliptica</italic> from the Omo River delta (Cohen et al., 2023) exhibit a wide range 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 values (mean range <inline-formula><mml:math id="M344" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6.5 ‰, SD <inline-formula><mml:math id="M345" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.06, <inline-formula><mml:math id="M346" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M347" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 45) and the depleted <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 values expected for the Omo River (Cohen et al., 2023). This is confirmed by estimation of water <inline-formula><mml:math id="M349" 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 the modern <italic>E. elliptica</italic> values, through clumped isotope measurements (1.59 ‰ to <inline-formula><mml:math id="M350" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.62 ‰) and equilibrium equations (1.6 ‰ to <inline-formula><mml:math id="M351" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.7 ‰) (Cohen et al., 2023), again confirming that the Omo River is less seasonal than the Atbara River. Middle Holocene shells from the eastern part of Lake Turkana, dated to the latest stages of the African Humid Period (AHP), show a very low range of <inline-formula><mml:math id="M352" 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 (mean range <inline-formula><mml:math id="M353" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.6 ‰, SD <inline-formula><mml:math id="M354" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.09, <inline-formula><mml:math id="M355" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M356" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 63) (Cohen et al., 2023), which is much less than the <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 values in the Atbara River, reflecting the far less seasonal climate of the AHP (Fig. 4). The average <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C range of the modern <italic>E. elliptica</italic> from the Atbara River (mean range <inline-formula><mml:math id="M359" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.1 ‰, SD <inline-formula><mml:math id="M360" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.97, <inline-formula><mml:math id="M361" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M362" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 31) is comparable to that from the Shinfa River (mean range <inline-formula><mml:math id="M363" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3.2 ‰, SD <inline-formula><mml:math id="M364" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.91, <inline-formula><mml:math id="M365" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M366" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 14) and shows no statistical difference (Tabor et al., 2021) (Fig. 4). This might be attributed to the fact that the Atbara and Shinfa rivers have almost the same upstream catchment area over the Ethiopian highlands and likely undergo the same weather events as well hosting a similar biota (Williams, 2018). In contrast, the <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C range of modern <italic>E. elliptica</italic> from the Omo River (mean range <inline-formula><mml:math id="M368" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 9 ‰, <inline-formula><mml:math id="M369" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M370" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 29) (Vonhof et al., 2013) is much higher than in the modern Atbara River shells, but the differences are not significant. In contrast, the modern <italic>E. elliptica</italic> (mean range <inline-formula><mml:math id="M371" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6.8 ‰, <inline-formula><mml:math id="M372" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M373" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 26) and Late Holocene shells (mean range <inline-formula><mml:math id="M374" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.5 ‰, SD <inline-formula><mml:math id="M375" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.7, <inline-formula><mml:math id="M376" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M377" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 45), both from northern Turkana, and the Middle Holocene (mean range <inline-formula><mml:math id="M378" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.5 ‰, SD <inline-formula><mml:math id="M379" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.41, <inline-formula><mml:math id="M380" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M381" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 63) from eastern Turkana (Cohen et al., 2023) differ significantly from the Atbara River. It is difficult to speculate on the definite causes that led to these variations in <inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C between the Atbara River, the Omo River, and the Turkana basin. They likely reflect a combination of factors, like dissolved inorganic carbon sources including the rate of exchange between the water surface and atmospheric CO<sub>2</sub>, the rate of weathering and the type of weathered rocks, vegetation cover affecting the hydrological system, the decay of organic matter in case of the lake setting, groundwater contribution, and the metabolism of the mussels (Cohen et al., 2023; Darling et al., 2005; Diamond, 2022; Kelemen et al., 2017).</p>
</sec>
<sec id="Ch1.S6.SS4">
  <label>6.4</label><title>Water sources and the local meteoric water line</title>
      <p id="d2e5023">A progressive increase in <inline-formula><mml:math id="M384" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D and <inline-formula><mml:math id="M385" 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 (VSMOW) values is observed along the Atbara River from the Tekezze in the Ethiopian highlands (Cockerton et al., 2013) in the south to Atbara city near to the confluence with the main Nile in the north (Fig. 1; Table 3). This pattern aligns with previous findings that the enrichment of river waters in the Nile basin is linked to the reduction in rainfall and the increase of cumulative evaporation moving northward (Cockerton et al., 2013).</p>
      <p id="d2e5044">The relationship between hydrogen and oxygen isotopes in water samples collected from the middle reaches of the Atbara River (<inline-formula><mml:math id="M386" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M387" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 5) in this study, when combined with those from Mohammednoor et al. (2025) and additional samples from the Atbara and Tekeze rivers (Cockerton et al., 2013), gives an LMWL expressed as <inline-formula><mml:math id="M388" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M389" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> (6.53 <inline-formula><mml:math id="M390" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.96) <inline-formula><mml:math id="M391" 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="M392" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (9.56 <inline-formula><mml:math id="M393" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.03) (<inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M395" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.886). When compared to the GMWL <inline-formula><mml:math id="M396" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D <inline-formula><mml:math id="M397" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> (8.17 <inline-formula><mml:math id="M398" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06) <inline-formula><mml:math id="M399" 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="M400" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> (10.35 <inline-formula><mml:math id="M401" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.65) (Craig, 1961; Rozanski et al., 2013), the Atbara LMWL exhibits a slightly lower slope (Fig. 6), suggesting more evaporative conditions in the Atbara River (Tabor et al., 2021). However, there is no statistically significant difference between the Atbara LMWL and the GMWL, likely due to the small sample size from the Atbara River (<inline-formula><mml:math id="M402" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M403" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 7) compared to the sample size of the GMWL (<inline-formula><mml:math id="M404" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M405" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 206) (Craig, 1961; Rozanski et al., 2013). The ALMWL is expected to have a more positive intercept (d-excess) than the GMWL, reflecting increased input of recycled water vapor, as moisture originating from continental water surfaces and/or evapotranspiration in low relative humidity conditions tends to have high d-excess, resulting in precipitation and runoff with similarly elevated d-excess values (Cockerton et al., 2013; Diamond, 2022; Gammons et al., 2006; Tabor et al., 2021). However, this cannot be confirmed with our small Atbara River sample size.</p>

      <fig id="F6"><label>Figure 6</label><caption><p id="d2e5204">Comparison of the Atbara River local meteoric water line (LMWL) with the global meteoric water line (GMWL) and those of the Nile basin rivers. Nile basin LMWLs exhibit significantly shallower slopes than the GMWL, likely reflecting enhanced evaporation of Nile basin rivers. The Atbara LMWL is probably similar to the other Nile rivers, although small sample size and high uncertainty mean the differences to the GMWL are not significant.</p></caption>
          <graphic xlink:href="https://egqsj.copernicus.org/articles/75/173/2026/egqsj-75-173-2026-f06.png"/>

        </fig>

      <p id="d2e5214">This is consistent with LMWLs that were calculated for the Blue Nile, White Nile, and main Nile (dry season) by Cockerton et al. (2013) and for the Shinfa River by Tabor et al. (2021). This also differs significantly from the GMWL in slope, probably due to excessive evaporative conditions in these rivers (Darling et al., 2005) (Fig. 6). This confirms the dominance of evaporative conditions in the Sudanese Nile basin (Cockerton et al., 2013; Darling et al., 2005; Diamond, 2022), consistent with arid, semi-arid, and subtropical regions (Hasan et al., 2018). The Atbara River LMWL has a higher slope than the Blue, White, and main Nile LMWLs (Fig. 6), but this difference is not statistically significant except for the Shinfa River.</p>
      <p id="d2e5217">The values observed along the Atbara River water likely reflect the isotopic signatures of its source waters, including contributions from rainfall, possible groundwater discharge contribution from aquifers in the area and upstream (Hagos et al., 2015), recharge to the subsurface, and evaporation. To what extent these factors affect the water chemistry is unknown, specifically the groundwater contribution. The rainfall recorded in the middle Atbara River (El Showak meteorological station) has its highest peak during July–August (Mirghani, 2001), in a rainy season extending from April to November. The main moisture source of this rainfall is likely to be the Indian Ocean (Mohammednoor et al., 2025), in addition to other sources like evapotranspiration, moisture from continental water surfaces, and/or the contribution of Atlantic Ocean moisture (Cockerton et al., 2013; Kebede and Travi, 2012; Levin et al., 2009). This rainfall pattern has similarity with the rainfall pattern observed in Addis Ababa, Ethiopia (Levin et al., 2009), which might refer to the same westerly moisture source (Kebede and Travi, 2012; Levin et al., 2009). Whether these same sources also supplied moisture during the Pleistocene is unknown, as <inline-formula><mml:math id="M406" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D cannot be measured in the fossil shells.</p>
      <p id="d2e5227">One limitation of this study is that the number of analyzed specimens is limited, particularly for the KGS3 and BBS1–2 intervals, making it hard to confidently compare these intervals with the modern and KGS2 data. In addition, more modern water samples from the Atbara River are needed to establish a more robust meteoric water line. Future work integrating modern water isotope measurements and additional shell material would help to better understand and evaluate the controls on shell <inline-formula><mml:math id="M407" 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 <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, and improve reconstructions of past seasonal variability.</p>
</sec>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <label>7</label><title>Conclusions</title>
      <p id="d2e5261">The isotopic profiles of <italic>Etheria elliptica</italic> shells from the middle Atbara River region provide a valuable proxy to reconstruct rainfall seasonality of the late Middle Pleistocene to the present. The <inline-formula><mml:math id="M409" 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 consistently display large ranges across all intervals, confirming that rainfall seasonality was a persistent feature of the eastern Sahel region since <inline-formula><mml:math id="M410" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 200 ka.</p>
      <p id="d2e5285">The <inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C signals across all intervals reveal an oscillating pattern that appears to correlate with age. However, a more comprehensive investigation is needed to interpret these patterns accurately due to the variety of potential <inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C sources. This would require additional information on the aquifers influencing the Atbara River, the characteristics of the rock succession, vegetation cover, river productivity, the rate of atmospheric CO<sub>2</sub> exchange with the river surface, the metabolic activity of <italic>E. elliptica</italic>, and sufficient data on dissolved inorganic carbon (DIC) of the Atbara River.</p>
      <p id="d2e5322">The reconstruction of the local meteoric water line (LMWL) provides valuable insights into evaporation and moisture sources influencing the Atbara River. Although the LMWL closely aligns with the global meteoric water line (GMWL), likely due to the limited number of water samples from the Atbara River, modern isotopic signatures suggest evaporative conditions. A larger set of water samples is therefore necessary to improve our understanding of evaporation conditions and relative humidity in the Atbara River.</p>
      <p id="d2e5325">This study provides an important baseline for future research on freshwater bivalves as paleoenvironmental archives in semi-arid regions. The results contribute to a better understanding of past rainfall seasonality in the eastern Sahel and offer a framework for applying stable isotope analysis in Pleistocene river systems. Future studies building on this work, particularly those integrating larger datasets and modern monitoring, will improve the reliability of freshwater shell environmental reconstructions.</p>
</sec>

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

      <p id="d2e5332">All data and code used in this study are available in the Supplement.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e5335">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/egqsj-75-173-2026-supplement" xlink:title="zip">https://doi.org/10.5194/egqsj-75-173-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e5344">AH conceptualized and designed the study, conducted formal analysis and data interpretation, prepared the original draft, and created the visualizations. FB conceptualized and designed the study, obtained funding, and contributed to data interpretation and to reviewing and editing the paper. US carried out the laboratory analyses, validated results, and reviewed the paper. RB conceptualized and designed the study, provided XRD and sedimentological data, contributed to validation, and reviewed the paper. ST provided OSL data, contributed to validation, and reviewed the paper. MM contributed to validation and reviewed the paper. AE contributed to validation, and reviewed and edited the paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e5350">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="d2e5356">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="d2e5363">We are grateful to the Geological Research Authority of Sudan for permitting fieldwork and sample exports. We thank Mohamed el-Tayeb and Discover Sudan for fieldwork and team logistics. River water collection by AH was made possible with the support of Abdelmajeed Anwar (Sudanese Mineral Resources Company, Gedaref office), Khalid Aldaw (Geological Research Authority of Sudan, Gedaref office), Ahmed Abdelrahman, Hind Alhilali, and Sumaya Aymen, who assisted with vehicle access, field permission, tools, and sample transportation. We thank Franziska Schmid for spectrometer analyses and Marcus Brinkmann for sectioning.</p><p id="d2e5365">During the preparation of this work, the lead author used ChatGPT in order to polish text and assist in generating R code. After using this tool, all authors reviewed and edited the paper as needed and take full responsibility for the content of the published article.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e5370">This research has been supported by the European Research Council (PALEONILE, grant no. 101045217), the German Research Foundation (Deutsche Forschungsgemeinschaft, grant no. 387794796), and the National Geographic Society (grant no. CP-086R-17).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e5376">This paper was edited by Jan-Hendrik May and reviewed by Zuorui Liu and Niels de Winter.</p>
  </notes><ref-list>
    <title>References</title>

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