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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2024.1348450</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The roles of river discharge and sea ice melting in formation of freshened surface layers in the Kara, Laptev, and East Siberian seas</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Osadchiev</surname><given-names>Alexander</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>*</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1067150"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Kuskova</surname><given-names>Ekaterina</given-names>
</name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2594259"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ivanov</surname><given-names>Vladimir</given-names>
</name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1417419"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
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<aff id="aff1"><sup>1</sup><institution>Shirshov Institute of Oceanology, Russian Academy of Sciences</institution>, <addr-line>Moscow</addr-line>, <country>Russia</country></aff>
<aff id="aff2"><sup>2</sup><institution>Moscow Institute of Physics and Technology</institution>, <addr-line>Dolgoprudny</addr-line>, <country>Russia</country></aff>
<aff id="aff3"><sup>3</sup><institution>Institute of Geology of Ore Deposits, Petrography, Mineralogy and Geochemistry, Russian Academy of Sciences</institution>, <addr-line>Moscow</addr-line>, <country>Russia</country></aff>
<aff id="aff4"><sup>4</sup><institution>Lomonosov Moscow State University</institution>, <addr-line>Moscow</addr-line>, <country>Russia</country></aff>
<aff id="aff5"><sup>5</sup><institution>Arctic and Antarctic Research Institute</institution>, <addr-line>Saint-Petersburg</addr-line>, <country>Russia</country></aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Wenli Zhong, Ocean University of China, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Matthew Buckley Alkire, University of Washington, United States</p>
<p>Benjamin Rabe, Alfred Wegener Institute Helmholtz Centre for Polar and Marine Research (AWI), Germany</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Alexander Osadchiev, <email xlink:href="mailto:osadchiev@ocean.ru">osadchiev@ocean.ru</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>12</day>
<month>03</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>11</volume>
<elocation-id>1348450</elocation-id>
<history>
<date date-type="received">
<day>02</day>
<month>12</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>29</day>
<month>02</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Osadchiev, Kuskova and Ivanov</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Osadchiev, Kuskova and Ivanov</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Wide areas of the Siberian Arctic shelf are covered by freshened surface water layers, which are among the largest in the World Ocean. River discharge is the main freshwater source for formation of these layers; therefore, they are commonly referred to as river plumes (the Ob-Yenisei plume in the Kara Sea and the Lena plume in the Laptev and East Siberian seas). The contribution of sea ice meltwater (SIM) to the Ob-Yenisei and Lena plumes is pointed out to be small, albeit its actual volume remains unknown. In this study, we use a novel dataset of satellite-derived sea ice thickness in the Arctic Ocean during the melt period to quantify the annual volume of SIM, which was received by the Ob-Yenisei and Lena plumes during 2012&#x2013;2020. We reveal that SIM is a significant source for the Lena plume providing, on average, 20% of total annual freshwater content. Moreover, the share of SIM in the Lena plume shows large inter-annual (14%&#x2013;29%) variability, i.e., during certain years, SIM provides almost one-third of freshwater volume of the Lena plume. This variability is governed by inter-annual variability of ice thickness, as well as seasonal variability of sea ice melting conditions. Conversely, the contribution of SIM to the Ob-Yenisei plume is relatively low (8% on average), and its total annual share varies from 6% to 11% during the study period. This difference is mainly caused by significantly smaller area of the Ob-Yenisei plume as compared with the Lena plume. The forecasted earlier onset of ice melting in the Arctic Ocean in future decades due to climate change could decrease the contribution of SIM to the Ob-Yenisei plume, whereas its influence on the Lena plume remains unclear.</p>
</abstract>
<kwd-group>
<kwd>freshened surface layer</kwd>
<kwd>sea ice meltwater</kwd>
<kwd>river discharge</kwd>
<kwd>Ob-Yenisei plume</kwd>
<kwd>Lena plume</kwd>
<kwd>Arctic Ocean</kwd>
</kwd-group>
<counts>
<fig-count count="13"/>
<table-count count="0"/>
<equation-count count="0"/>
<ref-count count="70"/>
<page-count count="16"/>
<word-count count="6733"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Physical Oceanography</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>The freshwater cycle plays an important role in the Arctic Ocean due to its role in maintaining vertical salinity stratification (<xref ref-type="bibr" rid="B2">Aagaard et&#xa0;al., 1981</xref>; <xref ref-type="bibr" rid="B39">Nummelin et&#xa0;al., 2016</xref>). The well-developed halocline in the Arctic Ocean isolates the low salinity and cold surface layer (and also sea ice) from the warm and saline Atlantic water mass, which occupies intermediate depths (<xref ref-type="bibr" rid="B51">Polyakov et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B11">Carmack et&#xa0;al., 2015</xref>). The inflow, spreading, and transformation of different freshwater sources in the Arctic Ocean, namely, river runoff, net precipitation, sea ice meltwater (SIM), and Pacific waters, determine inhomogeneous salinity distribution in the surface layer (<xref ref-type="bibr" rid="B1">Aagaard and Carmack, 1989</xref>; <xref ref-type="bibr" rid="B21">Ekwurzel et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B27">Haine et&#xa0;al., 2015</xref>). Despite its key role in the formation of circulation and mixing patterns at the pan-Arctic scale and serious attention, which it received during the last decades, many aspects of hydrological cycle in the Arctic still remain poorly studied (<xref ref-type="bibr" rid="B53">Serreze et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B12">Carmack et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B39">Nummelin et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B28">Hall et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B45">Osadchiev et&#xa0;al., 2023b</xref>).</p>
<p>The freshwater sources in the Arctic mentioned above have different spatial localization, which strongly affects their fate. River runoff and Pacific water have distinct localized sources in river estuaries and the Bering Strait, respectively, located at the boundaries of the Arctic Ocean. As a result, they form consolidated and stable water masses (river plumes and Pacific halocline), which experience relatively slow mixing with ambient seawater (<xref ref-type="bibr" rid="B11">Carmack et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B35">Lin et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B36">MacKinnon et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B40">Osadchiev, 2021</xref>). In contrast, SIM and precipitation have non-localized sources, i.e., they provide dispersed freshwater fluxes at the surface throughout the Arctic Ocean. These freshwater sources do not form stable water masses but are mixed with ambient seawater as a result of wind and wave forcing (<xref ref-type="bibr" rid="B54">Skyllingstad et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B64">Vihma, 2014</xref>; <xref ref-type="bibr" rid="B24">Golovin and Ivanov, 2015</xref>; <xref ref-type="bibr" rid="B3">Alkire et&#xa0;al., 2017</xref>).</p>
<p>In this study, we focus on the interaction of two main freshwater sources on the Siberian shelf (Kara, Laptev, and East Siberian seas), namely, river runoff and SIM. This area receives very large river runoff (~2,500 km<sup>3</sup> annually), which forms two wide and distinct freshened surface layers in the Eurasian Arctic (<xref ref-type="bibr" rid="B44">Osadchiev et&#xa0;al., 2020a</xref>, <xref ref-type="bibr" rid="B43">b</xref>) (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>). The first one is formed by the Ob and Yenisei rivers, which discharges inflow to the Kara Sea and coalesce into a joint Ob-Yenisei plume with an area of 200,000 km<sup>2</sup> to 250,000 km<sup>2</sup> (<xref ref-type="bibr" rid="B41">Osadchiev et&#xa0;al., 2021a</xref>). The second freshened area is formed by the Lena plume, which spreads over an area of 250,000 km<sup>2</sup> to 500,000 km<sup>2</sup> in the Laptev and East Siberian seas (<xref ref-type="bibr" rid="B42">Osadchiev et&#xa0;al., 2021b</xref>). Both river plumes have distinct seasonality in their formation and spreading. River flooding in late spring and early summer causes intense expansion of these plumes over the sea shelf. Later in late summer and autumn, river runoff drops by one order of magnitude. As a result, the active increase of plume areas is halted. Note that the Ob-Yenisei plume has very small inter-annual variability of the shape and position during the considered seasons (<xref ref-type="bibr" rid="B41">Osadchiev et&#xa0;al., 2021a</xref>) The Lena plume, in contrast, during different years could be either pressed toward the Siberian shore by prevailing northern and western winds with an area of ~250,000 km<sup>2</sup> or expanded northward by prevailing southern and eastern winds with an area of ~500,000 km<sup>2</sup> (<xref ref-type="bibr" rid="B16">Dmitrenko et&#xa0;al., 2005</xref>). This difference is caused by formation of the Lena plume by discharge from multiple shallow channels of the Lena Delta, which results in small depths and large stratification of the Lena plume and its quick response to wind forcing, as compared to the deeper and less stratified Ob-Yenisei plume, which is formed by two large and deep estuarine rivers (<xref ref-type="bibr" rid="B42">Osadchiev et&#xa0;al., 2021b</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Bathymetry of the study area and the location of the Ob-Yenisei and Lena plumes during their maximal spreading in September. Red stars indicate location of gauge stations at the Ob, Yenisei, and Lena rivers. Note that the location of the outer border of the Lena plume was prescribed in two variants for predominant northern/eastern (solid line) and southern/western (dashed line) wind forcing conditions.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1348450-g001.tif"/>
</fig>
<p>SIM is another important freshwater source on the Siberian shelf. During the past decades of intensified summer retreat of sea ice in the Arctic Ocean, up to 2,000,000 km<sup>2</sup> to 2,500,000 km<sup>2</sup> of sea ice (1.5- to 2-m thick) melts during the warm season in the Kara, Laptev, and East Siberian seas (<xref ref-type="bibr" rid="B65">Wassmann et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B59">Sumata et&#xa0;al., 2023</xref>). As a result, ice melting provides up to 2,400 km<sup>3</sup> to 2,900 km<sup>3</sup> of freshwater annually, which is similar to annual river runoff. This huge volume of SIM is steadily delivered to the surface layer, but the intensity, duration, and exact dates of this flux demonstrate significant spatial inhomogeneity and inter-annual variability (<xref ref-type="bibr" rid="B54">Skyllingstad et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B24">Golovin and Ivanov, 2015</xref>). In particular, the day when the Kara Sea becomes almost ice-free (which happens every year after 2007) and sea ice remains only at the northeastern periphery of the sea varies from the beginning of August (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2A</bold></xref>) to the middle of September (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2B</bold></xref>) (<xref ref-type="bibr" rid="B17">Duan et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B41">Osadchiev et&#xa0;al., 2021a</xref>). The sea ice coverage by the end of the melt period in the middle of September in the Laptev and East Siberian seas varies from 0 km<sup>2</sup> (during years when all sea ice melts) (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2C</bold></xref>) to 400,000 km<sup>2</sup> (during cold years with slow ice melting) (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2D</bold></xref>) (<xref ref-type="bibr" rid="B34">Liang and Su, 2021</xref>; <xref ref-type="bibr" rid="B42">Osadchiev et&#xa0;al., 2021b</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Examples of <bold>(A)</bold> early (4 August 2015) and <bold>(B)</bold> late (16 September 2014) ice-free conditions in the Kara Sea. Examples of <bold>(C)</bold> small (15 September 2020) and <bold>(D)</bold> large (15 September 2018) sea ice area by the end of melt season in the Laptev and East Siberian seas. Blue lines indicate location of the ice edge defined by the 15% of sea ice concentration.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1348450-g002.tif"/>
</fig>
<p>As was stated above, the Ob-Yenisei and Lena plumes are formed from localized freshwater sources, which provide their stability and relatively slow mixing with ambient saline seawater. Conversely, SIM is non-localized freshwater source. Once SIM is steadily received by the sea surface layer, it reduces surface salinity. This salinity anomaly steadily decreases due to mixing with subjacent seawater (<xref ref-type="bibr" rid="B54">Skyllingstad et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B24">Golovin and Ivanov, 2015</xref>; <xref ref-type="bibr" rid="B15">Dewey et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B60">Supply et&#xa0;al., 2022</xref>). Multiple <italic>in situ</italic> measurements have demonstrated that local salinity of the surface layer in the Kara, Laptev, and East Siberian seas (outside river plumes) several weeks after sea ice melt had ended was equal to 28&#x2013;32, which is the typical salinity over these areas (<xref ref-type="bibr" rid="B48">Pavlov and Pfirman, 1995</xref>; <xref ref-type="bibr" rid="B29">Harms and Karcher, 1999</xref>; <xref ref-type="bibr" rid="B69">Zatsepin et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B70">Zavialov et&#xa0;al., 2015</xref>). Note that we define salinity according to EOS-80 (<xref ref-type="bibr" rid="B23">Fofonoff and Millard, 1983</xref>), hereafter simply referred to as &#x201c;salinity&#x201d;.</p>
<p>Surface salinities in large river plumes in July and August are 15&#x2013;20, which is much less than salinities in seawater freshened by SIM flux. Therefore, if a river plume is spreading over the seawater, freshened by SIM, then salinity difference between the river plume and seawater still remains very large and the plume is spreading above the seawater maintaining distinct vertical salinity gradient (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3A</bold></xref>). As a result, SIM remains below the river plume and limitedly contribute to its volume. Generally, certain mixing occurs between the advancing plume and seawater freshened by sea ice. However, assessments of this mixing for the Ob-Yenisei plume based on <italic>in situ</italic> data demonstrate that it is substantially lower than mixing within the plume (<xref ref-type="bibr" rid="B41">Osadchiev et&#xa0;al., 2021a</xref>) As a result, we assume the entrainment of SIM from seawater to the river plumes to be small enough and neglect it in our idealized model. A different situation occurs, when SIM is received by a river plume, i.e., ice melting occurs in the area, which is already occupied by a plume. In this case, freshwater flux from sea ice melting is discharged to a plume and is admixed to the plume water. Therefore, freshwater volume received from SIM remains within the plume and contributes to plume volume initially formed by river runoff (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3B</bold></xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Schematic of SIM flux to <bold>(A)</bold> saline seawater and <bold>(B)</bold> river plume.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1348450-g003.tif"/>
</fig>
<p>In previous studies of large river plumes in the Arctic Ocean, contribution of SIM was pointed out to be small or negligible. Evaluation of SIM share in the total freshwater content in the Ob-Yenisei and Lena plumes was based on analysis of nutrient concentration (<xref ref-type="bibr" rid="B58">Stunzhas, 1995</xref>; <xref ref-type="bibr" rid="B37">Makkaveev et&#xa0;al., 2010</xref>), stable isotopes (&#x3b4;D, &#x3b4;<sup>18</sup>O) (<xref ref-type="bibr" rid="B8">Bauch et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B7">2013</xref>; <xref ref-type="bibr" rid="B18">Dubinina et&#xa0;al., 2017a</xref>; <xref ref-type="bibr" rid="B19">b</xref>; <xref ref-type="bibr" rid="B20">Dubinina et&#xa0;al., 2019</xref>), and other geochemical tracers (<xref ref-type="bibr" rid="B26">Guay and Falkner, 1998</xref>; <xref ref-type="bibr" rid="B31">Jones et&#xa0;al., 1998</xref>; <xref ref-type="bibr" rid="B21">Ekwurzel et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B68">Yamamoto-Kawai et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B47">Paffrath et&#xa0;al., 2021</xref>). These previous studies provided the baseline for our understanding of the roles of river discharge, sea ice melting, ice formation, and brine release in formation of water masses in the study areas. In particular, they demonstrated that net ice formation at the Great Siberian Polynya during cold season dominates over ice melting during warm season due to intense ice export toward the central part of the Arctic Ocean by the Transpolar Drift (<xref ref-type="bibr" rid="B8">Bauch et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B7">2013</xref>).</p>
<p>In this study, we evaluate freshwater volume of SIM, which is received by the Ob-Yenisei and Lena plumes and compare it with the freshwater volume provided by the river runoff. For this purpose, we use recently developed satellite-derived data on sea ice thickness, which covers the whole year including melting period from May to September (<xref ref-type="bibr" rid="B33">Landy et&#xa0;al., 2022</xref>). This dataset was made using machine learning and includes snow layer above the sea ice. Note that previously available data on sea ice thickness did not provide reliable information during melting period due to bias caused by presence of melt ponds on sea ice (<xref ref-type="bibr" rid="B13">Dawson et&#xa0;al., 2022</xref>). Usage of this dataset provides opportunity for direct calculations of SIM fluxes in the Arctic Ocean with spatial resolution of 80&#xa0;km and temporal resolution of 2 weeks. We used these data to calculate the SIM fluxes to the expanding Ob-Yenisei and Lena plumes during May to September in 2012&#x2013;2020. This volume was compared with river runoff data obtained from daily gauge measurements at the Ob, Yenisei, and Lena rivers. Note that our current study focuses on the specific ice melting process (only during warm season) and its influence on the surface layer, i.e., until the depths of 10&#xa0;m to 20&#xa0;m, which is occupied by river plumes, whereas previous studies mentioned above considered surface-to-bottom water column. In addition, our study deals with relatively high spatial and temporal resolution, whereas the previous studies generally considered net impact of river discharge, ice formation, and ice melting on the annual and inter-annual time scales.</p>
<p>This paper is organized as follows. In Section 2, we provide general information about sea ice thickness and river discharge data used in this study, as well as the methodology of calculating the flux of SIM to the Ob-Yenisei and Lena plumes during the warm season. Evaluation of shares of SIM and river runoff in the Ob-Yenisei and Lena plumes calculated every 2 weeks during May to September in 2012&#x2013;2020 is described and compared in Section 3. Section 4 addresses seasonal and inter-annual variability of freshwater fluxes associated with river runoff and SIM, as well as discusses differences of SIM fluxes to the Ob-Yenisei and Lena plumes. The conclusions are given in Section 5.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Data and methods</title>
<p>Fluxes of SIM in the study area were calculated using maps of sea ice concentration derived from AMSR2 satellite data with spatial resolution of 6.25&#xa0;km and temporal resolution of 1 day (<xref ref-type="bibr" rid="B56">Spreen et&#xa0;al., 2008</xref>) and sea ice thickness derived from Cryosat-2 satellite data with spatial resolution of 80&#xa0;km and temporal resolution of 2 weeks (<xref ref-type="bibr" rid="B33">Landy et&#xa0;al., 2022</xref>) (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>). The accuracy of these data validated against <italic>in situ</italic> measurements of sea ice thickness is estimated as 10&#xa0;cm to 30&#xa0;cm (<xref ref-type="bibr" rid="B33">Landy et&#xa0;al., 2022</xref>). Note that sea ice thickness maps cover the whole year including melting period from May to September in 2012&#x2013;2020. Cumulative volume of freshwater flux from SIM during every 2 weeks at the 80-km grid points was calculated using the following equation Q<sub>SIM</sub> = &#x394;V&#xb7;A<sub>S</sub>&#xb7;A<sub>V</sub>/S, where V = C<sub>ice</sub>&#xb7;T<sub>ice</sub> is the sea ice volume at the grid point equal to the product of sea ice concentration C<sub>ice</sub> (reprojected to 80-km grid) and sea ice thickness T<sub>ice</sub>, A<sub>S</sub> = 0.8 is the coefficient to normalize meltwater salinity (prescribed equal to a salinity of 6) to fresh water (salinity of 0), A<sub>V</sub> = 0.9 is the coefficient to normalize ice volume to meltwater volume, and S = 640 km<sup>2</sup> is the area of a grid cell. The accuracy of satellite sea ice concentration is estimated as 0.15 (<xref ref-type="bibr" rid="B56">Spreen et&#xa0;al., 2008</xref>). Natural variability of the applied values of A<sub>S</sub> and A<sub>V</sub> is equal to 0.1 for both parameters (<xref ref-type="bibr" rid="B62">Timco and Frederking, 1996</xref>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Grid points for calculation of SIM flux <bold>(A)</bold> in the Kara Sea and <bold>(B)</bold> in the Laptev and East Siberian seas.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1348450-g004.tif"/>
</fig>
<p>Total freshwater flux from SIM to the Ob-Yenisei and Lena plume was calculated every 2 weeks in the following way. First, we determined location of the outer borders of the Ob-Yenisei and Lena plumes every 2 weeks in May to September. For both river plumes, location of borders was determined according to previously published <italic>in situ</italic> measurements of surface salinity data in the Kara, Laptev, and East Siberian seas (<xref ref-type="bibr" rid="B30">Janout et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B43">Osadchiev et al., 2020b</xref>; <xref ref-type="bibr" rid="B41">Osadchiev et&#xa0;al., 2021a</xref>; <xref ref-type="bibr" rid="B42">b</xref>; <xref ref-type="bibr" rid="B6">Ashik, 2021</xref>; <xref ref-type="bibr" rid="B55">Spivak et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B46">Osadchiev et&#xa0;al., 2023a</xref>; <xref ref-type="bibr" rid="B49">Pipko et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B66">Xie et&#xa0;al., 2023</xref>) and climatology maps from the World Ocean database (2018) (<xref ref-type="bibr" rid="B9">Boyer et&#xa0;al., 2018</xref>). Location of the outer border of the Ob-Yenisei plume was prescribed the same for all considered years due to small inter-annual variability of position of this plume. Location of the outer border of the Lena plume was prescribed in two variants for predominant northern/eastern and southern/western wind forcing conditions, which result in southward (toward the Siberian coast) and northward (toward the shelf break) advection of the plume, respectively. The first variant corresponded to conditions in 2013&#x2013;2015 and 2019&#x2013;2020, whereas the second variant corresponded to conditions in 2012 and 2016&#x2013;2018 (<xref ref-type="bibr" rid="B30">Janout et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B42">Osadchiev et&#xa0;al., 2021b</xref>). Finally, at every 2 week step, total freshwater flux from SIM to the Ob-Yenisei and Lena plume was calculated by summarizing fluxes around all grid cells located within the borders of these plumes during the respective time period. Freshwater flux from SIM located outside the plume borders was considered as the flux to the saline seawater. Due to the large size of a grid cell (80&#xa0;km), advection of sea ice between the cells during the 2 week periods was neglected. Similar, we neglect advection of sea ice inside and outside the study areas in the Kara Sea (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4A</bold></xref>) and the Laptev and East Siberian seas (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4B</bold></xref>), because their prescribed limits are located far from the Ob-Yenisei and Lena plume borders, respectively.</p>
<p>River discharge data were obtained on a daily basis from the most downstream gauge stations at the Ob, Yenisei, and Lena rivers, namely, Salekhard, Igarka, and Kyusyur, respectively (red stars in <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>). In order to reproduce the role of smaller rivers (the Pyasina, Taz, Pur, and Nadym rivers, which are not covered by gauge measurements) in formation of the Ob-Yenisei plume, the cumulative daily discharge of the Ob and Yenisei rivers was multiplied by 1.2 according to ratio between the total annual discharge of the Ob and Yenisei rivers and smaller rivers (<xref ref-type="bibr" rid="B25">Gordeev et&#xa0;al., 1996</xref>). Similarly, daily discharge of the Lena River was multiplied by 1.55 in order to reproduce the role of the Kolyma, Indigirka, Olenyok, and Yana rivers in formation of the Lena plume.</p>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<p>The calculated annual freshwater fluxes from river discharge and SIM to the Ob-Yenisei and Lena plumes during 2012&#x2013;2020 and the uncertainties of fluxes (<xref ref-type="bibr" rid="B61">Tank et al., 2023</xref>) are presented in <xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>. At the first approximation, river discharge plays much greater role than SIM in the formation of the Ob-Yenisei plume in the Kara Sea. The total annual contribution of SIM to the Ob-Yenisei plume varies between 57 km<sup>3</sup> and 93 km<sup>3</sup> (with an average of 80 km<sup>3</sup>) (solid blue line in <xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>). Total annual river discharge to the Ob-Yenisei plume is one order of magnitude greater, namely, 631 km<sup>3</sup> to 1,038 km<sup>3</sup> (with an average of 907 km<sup>3</sup>) (solid red line in <xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>). As a result, the share of SIM in the freshwater budget of the Ob-Yenisei plume varies from 6% to 11% among different years with an average value of 8% (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6A</bold></xref>). Total annual contribution of SIM to the Lena plume varies between 132 km<sup>3</sup> and 302 km<sup>3</sup> (with an average of 193 km<sup>3</sup>), which is two to three times greater than in the Kara Sea (dashed blue line in <xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>). This difference is caused by significantly greater area of the Lena plume as compared with the Ob-Yenisei plume. Total annual river discharge to the Lena plume is 537 km<sup>3</sup> to 871 km<sup>3</sup> (with an average of 782 km<sup>3</sup>), which is slightly smaller than that to the Ob-Yenisei plume (dashed red line in <xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>). Therefore, the share of SIM in the freshwater budget of the Lena plume varies from 14% to 29% among different years with average value of 20% (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6B</bold></xref>), which is ~2.5 times greater than in the Ob-Yenisei plume. As a result, in the Laptev and East Siberian seas, river discharge also dominates in the income freshwater budget of the Lena plume; however, the role of SIM is more significant as compared to the Ob-Yenisei plume in the Kara Sea. In particular, in 2017 and 2019, SIM provided more than one quarter of total freshwater volume in the Lena plume.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Total annual freshwater fluxes from river discharge (red lines) and SIM (blue lines) to the Ob-Yenisei plume <bold>(A)</bold> and the Lena plume <bold>(B)</bold> during 2012&#x2013;2020. Shaded areas indicate the uncertainties of fluxes.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1348450-g005.tif"/>
</fig>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Shares of river discharge (red) and SIM (blue) in total freshwater volume in <bold>(A)</bold> the Ob-Yenisei plume and <bold>(B)</bold> the Lena plume during 2012&#x2013;2020.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1348450-g006.tif"/>
</fig>
<p>Biweekly distributions of freshwater fluxes from SIM to the Ob-Yenisei and Lena plumes during ice melting season in 2012&#x2013;2020 are presented in <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>. They demonstrate significant seasonal and inter-annual variability of SIM fluxes. In the Kara Sea, SIM fluxes demonstrate one distinct peak which occurs from the end of May until the end of June (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7A</bold></xref>). The annual peak varies between the different years from 25 km<sup>3</sup> to 64 km<sup>3</sup>. SIM flux in August and September decreases to zero, because, by early August, the spreading area of the Ob-Yenisei plume in the Kara Sea becomes ice-free.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Biweekly freshwater flux from SIM to <bold>(A)</bold> the Ob-Yenisei plume and <bold>(B)</bold> the Lena plume from 9 May to 23 September during 2012&#x2013;2020.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1348450-g007.tif"/>
</fig>
<p>In the Laptev Sea, two distinct peaks of SIM fluxes are observed (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7B</bold></xref>). The first peak of SIM flux (38 km<sup>3</sup> to 109 km<sup>3</sup>) is observed in June every year (except 2012) and is associated with an increase of the Lena plume area due to the start of the flooding period. The second peak of SIM flux is registered during certain years in late July and early August and is associated with intensified summer melting of sea ice remaining in the southern parts of the Laptev and East Siberian seas. Maximal biweekly SIM flux during this period varies from 23 km<sup>3</sup> to 49 km<sup>3</sup>. Then, SIM flux significantly decreases; however, during certain years, sea ice melting in the Laptev and East Siberian seas continues until late September, i.e., the end of the warm season.</p>
<p>Large seasonal and inter-annual variability of SIM and riverine freshwater fluxes during the warm period results in variability of their relative shares in the river plumes. Once intense sea ice melting starts before the peak river discharge, the share of SIM could become similar to the share of the river discharge during late spring. This situation is common for the Lena plume and was observed in 2013, 2017, and 2019 in May when the share of SIM in total freshwater content in the Lena plume was up to 15%&#x2013;25%. In contrast, in the Kara Sea, this situation does not occur due to earlier start of the flooding period (<xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8</bold></xref>).</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Biweekly shares of SIM in total freshwater volume in the Ob-Yenisei plume (blue lines) and the Lena plume (red lines) from 9 May to 23 September during 2012&#x2013;2020.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1348450-g008.tif"/>
</fig>
<p>As a result, average biweekly freshwater flux from SIM to the Ob-Yenisei plume is one order of magnitude less than freshwater flux from river discharge due to overlap of periods of peak river discharge and the most intense sea ice melting in the Kara Sea (solid lines in <xref ref-type="fig" rid="f9"><bold>Figure&#xa0;9</bold></xref>). Average biweekly share of SIM in total freshwater volume in the Ob-Yenisei plume increases from 1% in spring to 11% in summer and then decreases to 8% in autumn (<xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10</bold></xref>). Conversely, in the Laptev and East Siberian seas, freshwater flux from SIM is comparable with that from river discharge: first, during late spring due to smaller river discharge at spring drought conditions and, second, during late summer due to longer ice melting period (dashed lines in <xref ref-type="fig" rid="f9"><bold>Figure&#xa0;9</bold></xref>). Average biweekly share of SIM in the total freshwater volume in the Lena plume is 2% at the onset of the melting season in May, followed by an increase to 23% in summer and decrease to 20% in autumn (<xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10</bold></xref>). Note that averaging during nine considered years of SIM fluxes (<xref ref-type="fig" rid="f9"><bold>Figure&#xa0;9</bold></xref>) and SIM shares (<xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10</bold></xref>) removed the peak of SIM share for the Lena plume at the beginning of ice melting period, which occurred only during 2013, 2017, and 2019 (<xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8</bold></xref>), and smoothened the double peak of SIM flux for the Lena plume in June to July (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7B</bold></xref>).</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Average biweekly freshwater flux from river discharge (red lines) and SIM (blue lines) to Ob-Yenisei plume <bold>(A)</bold> and the Lena plume <bold>(B)</bold> from 9 May to 23 September. The whiskers show standard deviations of the biweekly freshwater fluxes.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1348450-g009.tif"/>
</fig>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Average biweekly shares of SIM in total freshwater volume in the Ob-Yenisei plume (blue line) and the Lena plume (red line) during 2012&#x2013;2020. The whiskers show standard deviations of the biweekly shares of SIM.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1348450-g010.tif"/>
</fig>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>Large seasonal and inter-annual variability of SIM flux to the Ob-Yenisei and Lena plumes described in the previous section is governed by variability of sea ice conditions. Sea ice melting at the certain sea area contributes to a river plume only if the plume has already spread below the sea ice in this area (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3B</bold></xref>). Once sea ice melting occurred outside a river plume, it would not be received by the plume even if the plume will later spread in this area (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3A</bold></xref>). This feature occurs due to much smaller salinities in the large Arctic plumes as compared to saline seawater freshened by SIM. In order to understand the relationship between sea ice conditions and SIM fluxes to the Ob-Yenisei and Lena plumes, we analyze examples of years with small and large SIM flux to the Ob-Yenisei plume (<xref ref-type="fig" rid="f11"><bold>Figure&#xa0;11</bold></xref>) and to the Lena plume (<xref ref-type="fig" rid="f12"><bold>Figure&#xa0;12</bold></xref>).</p>
<fig id="f11" position="float">
<label>Figure&#xa0;11</label>
<caption>
<p>Distributions of biweekly freshwater flux from SIM to the Kara Sea from 9 May to 23 September in <bold>(A)</bold> 2012 and <bold>(B)</bold> 2013, illustrating conditions resulting in <bold>(A)</bold> small and <bold>(B)</bold> large SIM flux to the Ob-Yenisei plume. Red lines indicate location of the outer Ob-Yenisei plume border, and gray lines and gray shading indicate location of sea ice.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1348450-g011.tif"/>
</fig>
<fig id="f12" position="float">
<label>Figure&#xa0;12</label>
<caption>
<p>Distributions of biweekly freshwater flux from SIM to the Laptev and East Siberian seas from 9 May to 23 September in <bold>(A)</bold> 2012 and <bold>(B)</bold> 2017, illustrating conditions resulting in <bold>(A)</bold> small and <bold>(B)</bold> large SIM flux to the Lena plume. Red lines indicate location of the outer Lena plume border, and gray lines and gray shading indicate location of sea ice.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1348450-g012.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="f11"><bold>Figure&#xa0;11</bold></xref> demonstrates that total annual SIM contribution to the Ob-Yenisei plume is governed by coalescence of intense sea ice melting and intense expansion of the plume. Once all sea ice melted early before the Ob-Yenisei plume spread over wide area in the central part of the Kara Sea, the SIM flux to the plume is low. In particular, this situation was observed in 2012 when the lowest contribution of SIM to the Ob-Yenisei plume was registered among the considered years (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>). Due to warm atmospheric conditions during this year, the central part of the Kara Sea became almost free of ice by the beginning of July, which is very early for this area (<xref ref-type="fig" rid="f11"><bold>Figure&#xa0;11A</bold></xref>). This resulted in small SIM flux to the Ob-Yenisei plume during peak flooding period in late June and the subsequent reduction of SIM flux to zero by late July (blue line in <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7A</bold></xref>). The opposite situation of late sea ice melting in the central part of the Kara Sea was observed in 2013. During this year, ice remained in the central part of the Kara Sea until early August (<xref ref-type="fig" rid="f11"><bold>Figure&#xa0;11B</bold></xref>), which resulted in high values of SIM flux to the plume during two months in June and July (orange line in <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7A</bold></xref>) and the largest total share of SIM in freshwater content of the Ob-Yenisei plume (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>).</p>
<p>As a result, early/late onset of intense sea ice melting in the central part of the Kara Sea, which is occupied by the Ob-Yenisei plume by late June and early July, preconditions low/high SIM flux to the Ob-Yenisei plume. Late onset of sea ice melting in the central part of the Kara Sea significantly reduces period of local ice melting, because every year the ice completely disappears in this part of the sea by mid-September. Sea ice could remain during the whole year in the Kara Sea only in its eastern part and only in certain years (e.g., 2014 and 2021). This part of the sea becomes partly occupied by the plume in August and September. Nevertheless, inter-annual variability of sea ice conditions in this area plays much smaller role in the contribution of SIM to the Ob-Yenisei plume due to, first, low intensity of this flux in August and September and, second, relatively small area of the plume in this part of the sea.</p>
<p>The most intense sea ice melting in the Laptev and East Siberian seas occurs in June and July and provides the largest SIM fluxes to the Lena plume during the warm season (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7B</bold></xref>). As a result, similar to the Kara Sea, early/late onset of sea ice melting in the southeastern part of the Laptev Sea and southwestern part of the East Siberian Sea, before active spreading of the Lena plume decreases/increases SIM flux to the plume. In particular, this situation was observed in 2012 (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5B</bold></xref>) when, similarly to the Kara Sea, the southern parts of the Laptev and East Siberian seas became almost free of ice in the beginning of August, which is very early for this area (<xref ref-type="fig" rid="f12"><bold>Figure&#xa0;12A</bold></xref>). This resulted in moderate values of SIM flux during relatively short period from late June until late July (blue line in <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7B</bold></xref>). The opposite situation of late onset of intense sea ice melting was observed in 2017 (<xref ref-type="fig" rid="f12"><bold>Figure&#xa0;12B</bold></xref>) when ice melting provided large SIM flux to the Lena plume from early June until early August (brown line in <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7B</bold></xref>).</p>
<p>Sea ice conditions in the Laptev and East Siberian seas by the end of the melting period in the middle of September also play an important role in inter-annual variability of SIM contribution to the Lena plume. In contrast to the Kara Sea, during certain years, the central parts of the Laptev and East Siberian seas could be covered by ice which results in SIM flux to the Lena plume in August and September. These freshwater fluxes are smaller than those observed in June and July but could provide up to 30 km<sup>3</sup> to 40 km<sup>3</sup> of freshwater volume to the Lena plume (e.g., in 2017 and 2018) (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7B</bold></xref>). Another important factor that affects SIM fluxes to the Lena plume is inter-annual variability of ice thickness in the southern parts of the Laptev and East Siberian seas (<xref ref-type="fig" rid="f13"><bold>Figure&#xa0;13</bold></xref>). Ice melting at these areas provides SIM flux to the Lena plume in June and early July when it has relatively small area. In particular, small SIM flux to the Lena plume in June in 2012 was caused by relatively small ice thickness in the southern part of the Laptev Sea (1&#xa0;m to 1.5&#xa0;m) (<xref ref-type="fig" rid="f13"><bold>Figure&#xa0;13A</bold></xref>), whereas large SIM flux in June in 2017 was provided by thick ice (1.5&#xa0;m to 2&#xa0;m) in the southeastern part of the Laptev Sea in vicinity of the Lena Delta (<xref ref-type="fig" rid="f13"><bold>Figure&#xa0;13B</bold></xref>).</p>
<fig id="f13" position="float">
<label>Figure&#xa0;13</label>
<caption>
<p>Sea ice thickness in the Laptev and East Siberian seas from 9 May to 23 September in <bold>(A)</bold> 2012 and <bold>(B)</bold> 2017.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-11-1348450-g013.tif"/>
</fig>
<p>Finally, the small/large mode of the Lena plume that is governed by wind forcing conditions (<xref ref-type="bibr" rid="B16">Dmitrenko et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B30">Janout et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B42">Osadchiev et&#xa0;al., 2021b</xref>) plays a less significant role in inter-annual variability of contribution of SIM to the plume. Small and large SIM fluxes to the Lena plume were observed during both years with small plume area (2012 and 2017, respectively) and large plume area (2015 and 2014, respectively). This feature is caused by relatively low SIM flux from sea ice melting in the northern parts of the Laptev and East Siberian seas due to, first, short residence time of the plume in this area in late August and September and, second, already low intense sea ice melting during this period. This result contradicts the findings of <xref ref-type="bibr" rid="B7">Bauch et&#xa0;al. (2013)</xref>, which associated large area of the Lena plume observed in 1994 and 2008 with intense sea ice melting as compared to small river plume area in 2007 and 2009. Nevertheless, our assessments of SIM contribution to the Lena plume equal to 132 km<sup>3</sup> to 302 km<sup>3</sup> in 2012&#x2013;2020 are in good agreement with the related assessments based on analysis of stable isotopes equal to 109 km<sup>3</sup> and 158 km<sup>3</sup> in 1994 and 2008.</p>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>In this study, using novel satellite data of sea ice thickness in the Arctic Ocean (<xref ref-type="bibr" rid="B33">Landy et&#xa0;al., 2022</xref>), we calculated SIM fluxes in the Kara, Laptev, and East Siberian seas during warm season (9 May to 23 September) in 2012&#x2013;2020 with spatial resolution of 80&#xa0;km and temporal resolution of 2 weeks. Then, we evaluated freshwater volume, which was received from SIM by the Ob-Yenisei plume in the Kara Sea and by the Lena plume in the Laptev and East Siberian seas during the considered periods. We compared this volume with river runoff that forms the Ob-Yenisei and Lena plumes in order to evaluate the roles of river discharge and sea ice melting in formation of these plumes and understand seasonal and inter-annual variability of shares from both freshwater sources. The accuracy of the obtained results is limited by the accuracy of the satellite-derived sea ice thickness data, which was used in this study. Nevertheless, to the extent of our knowledge, they provide the first comprehensive assessment of the role of sea ice melting in formation of the freshened surface layers in the Kara, Laptev, and East Siberian seas.</p>
<p>We reveal that the contribution of SIM to the Ob-Yenisei plume is relatively low (8% on average) and its total annual share varies from 6% to 10% in 2012&#x2013;2020. Maximal freshwater flux from SIM received by the Ob-Yenisei plume during the study period was registered in 2013 and was equal to 93 km<sup>3</sup>. During the warm season, the average share of SIM in total freshwater volume in the Ob-Yenisei plume increases from 1% in spring to 11% in summer and then decreases to 8% in autumn. This feature is caused by early ice melting in the Kara Sea, which occurs before the Ob-Yenisei plume becomes well-developed and occupies large area. As a result, the majority of SIM is mixed with saline seawater outside the plume and does not form stable freshened surface layer in the Kara Sea. The Ob-Yenisei plume is later spreading above the mixed seawater and SIM due to its significantly lower salinities.</p>
<p>The opposite situation is observed in the Laptev and East Siberian seas. SIM is a significant source for the Lena plume providing on average 20% of total annual freshwater content due to much greater spreading area of the Lena plume as compared with the Ob-Yenisei plume. Moreover, the share of SIM to the Lena plume shows large inter-annual (14%&#x2013;29%) variability, i.e., during certain years SIM provides almost one-third of the freshwater volume of the Lena plume. In particular, in 2017, the freshwater volume received by the Lena plume from SIM was equal to 302 km<sup>3</sup>. Inter-annual variability of SIM volume in the Lena plume is governed by inter-annual variability of the Lena plume spreading area, as well as seasonal variability of sea ice melting conditions. During the warm season, the average share of SIM in the total freshwater volume in the Lena plume increases from 2% in spring to 23% in summer and then decreases to 20% in autumn. The largest contribution of SIM to the Lena plume occurs during years when ice melting is late but intense. In this case, the main ice melting period starts after the initial freshet spreading of the Lena plume, i.e., when the plume already occupied large area in the sea, and, therefore, SIM produced at this area is captured by the plume. Another important condition is that ice melting is intense, and, despite late start, large volume of SIM is produced during the melt season and the Laptev and East Siberian shelves become ice-free by the middle of September.</p>
<p>Sea ice melts by the beginning of September at all spreading area of the Ob-Yenisei plume during every year. As a result, SIM flux to the Ob-Yenisei plume is controlled mainly by interposition of the onset of intense ice melting in the central part of the Kara Sea. The second important factor is the start of the intense expanding of the Ob-Yenisei plume caused by the beginning of the flooding period at the Ob and Yenisei rivers. Early/late onset of intense ice melting preconditions low/high contribution of SIM to the Ob-Yenisei plume. In summary, the main prediction of high total annual SIM flux to the Ob-Yenisei plume is the presence of large area covered by sea ice in the central part of the Kara Sea in late June and early July.</p>
<p>Similar to the Ob-Yenisei plume, a large annual SIM flux to the Lena plume is provided by late onset of intense ice melting in the southeastern part of the Laptev Sea and the southwestern part of the East Siberian Sea, which are occupied by the Lena plume shortly after the beginning of the flooding period. However, sea ice conditions in the Laptev and East Siberian seas also play an important role in this process due to greater thickness of fast sea ice in the southeastern part of the Laptev Sea (<xref ref-type="bibr" rid="B63">Timofeeva and Sharatunova, 2021</xref>), which provide the main SIM flux before the Lena plume becomes well-developed. In addition, the presence of sea ice at the spreading area of the Lena plume during the whole warm season results in significant SIM fluxes to the Lena plume in August and September (which are off the peak ice melting season in June and July). In summary, the main prediction of the high total annual SIM flux to the Lena plume includes, first, the presence of large area covered by thick sea ice in the southeastern part of the Laptev Sea and the southwestern part of the East Siberian Sea in June and July and, second, the absence of sea ice in the central and southern part of these seas in the middle of September.</p>
<p>Spreading and transformation of freshened surface layer in the Arctic Ocean influence many local physical, biological, and geochemical processes including biological productivity (<xref ref-type="bibr" rid="B14">Demidov et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B38">Mosharov et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B32">Kopylov et&#xa0;al., 2023</xref>), carbon cycle (<xref ref-type="bibr" rid="B49">Pipko et&#xa0;al., 2022</xref>), and transport of pollutants (<xref ref-type="bibr" rid="B50">Pogojeva et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B67">Yakushev et&#xa0;al., 2021</xref>). This fact highlights the importance of study of large-scale freshwater cycle in the Arctic Ocean. Future changes in sea ice melting in the Arctic Ocean as a result of global warming could modify the roles of river discharge and sea ice melting in formation of the Ob-Yenisei and Lena plumes. Earlier onset of sea ice melting by several days in a decade, which is observed in the Kara, Laptev, and East Siberian seas (<xref ref-type="bibr" rid="B57">Stroeve and Notz, 2018</xref>), tends to reduce the volume of SIM in the Ob-Yenisei plume due to relatively short ice melting season in the Kara Sea but increases this volume in the Lena plume, because, during most years, ice melting in the Laptev and East Siberian seas continues during the whole warm season. However, if ice conditions in the Laptev and East Siberian seas will change and these seas will become free (or almost free) of ice by the end of warm season in the middle of September (which is already the case for the Kara Sea), then earlier onset of sea ice melting would also tend to reduce the volume of SIM in the Lena plume.</p>
<p>The possible future increase of SIM contribution to the Lena plume would strongly affect the shelf&#x2013;basin interaction along the Laptev and East Siberian seas (<xref ref-type="bibr" rid="B5">Anderson et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B4">2017</xref>). The increase of area and volume of the Lena plume would strengthen stratification and reduce vertical mixing between the freshened surface layer and the halocline (<xref ref-type="bibr" rid="B12">Carmack et&#xa0;al., 2016</xref>). Moreover, this process has potential to intensify upwelling at the shelf break of the Laptev Sea in case of favorable local wind and sea ice conditions (<xref ref-type="bibr" rid="B10">Carmack and Chapman, 2003</xref>) and cause increase in biological productivity along the Arctic shelf break (<xref ref-type="bibr" rid="B52">Randelhoff and Sundfjord, 2018</xref>). An increase of river discharge to the Arctic Ocean and, in particular, the increase of annual runoff from the Yenisei and Lena rivers by several percent over decade (<xref ref-type="bibr" rid="B22">Feng et&#xa0;al., 2021</xref>) would reduce the average share of SIM in freshwater content of the Ob-Yenisei and Lena plumes. However, these trends are much less than the observed inter-annual variability of the river runoff and, therefore, they play a secondary role in the variability of share of SIM in freshwater content of the plumes as compared to sea ice conditions. Finally, it is important to forecast the start of the flooding period for the Ob, Yenisei, and Lena rivers, which could also become earlier due to climate change and affect the share of SIM in the Ob-Yenisei and Lena plumes.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>AO: Writing &#x2013; review &amp; editing, Writing &#x2013; original draft, Formal analysis, Conceptualization. EK: Writing &#x2013; original draft, Visualization, Methodology, Formal analysis, Data curation. VI: Writing &#x2013; review &amp; editing, Methodology, Formal analysis.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This research was funded by the Ministry of Science and Higher Education of the Russian Federation, theme FMWE-2021-0001 (processing of satellite data); the Moscow Institute of Physics and Technology development program (Priority-2030) (processing of sea ice data); and the Russian Science Foundation, research projects 23-17-00087 (study of river plumes in the Arctic Ocean) and 23-17-00001 (study of sea ice meltwater in the Arctic Ocean).</p>
</sec>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s10" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
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