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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.2023.1271638</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>Heat content and temperature trends in the Mediterranean Sea as derived from Argo float data</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Kubin</surname>
<given-names>Elisabeth</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2153499"/>
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<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Menna</surname>
<given-names>Milena</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/898735"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Mauri</surname>
<given-names>Elena</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Notarstefano</surname>
<given-names>Giulio</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Mieruch</surname>
<given-names>Sebastian</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1100971"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Poulain</surname>
<given-names>Pierre-Marie</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/640365"/>
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<aff id="aff1">
<sup>1</sup>
<institution>Section of Oceanography, Institute of Oceanography and Applied Geophysics, Sgonico</institution>, <addr-line>Trieste</addr-line>, <country>Italy</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Section of Marine Geology, Alfred Wegener Institute</institution>, <addr-line>Bremerhaven</addr-line>, <country>Germany</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Ming Li, University of Maryland, College Park, United States</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: F&#xe9;lix Margirier, Alseamar, France; Manal Hamdeno, University of Li&#xe8;ge, Belgium; Arthur J. Miller, University of California, San Diego, United States</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Elisabeth Kubin, <email xlink:href="mailto:kubin.elisabeth@gmail.com">kubin.elisabeth@gmail.com</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>07</day>
<month>11</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1271638</elocation-id>
<history>
<date date-type="received">
<day>02</day>
<month>08</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>18</day>
<month>10</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Kubin, Menna, Mauri, Notarstefano, Mieruch and Poulain</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Kubin, Menna, Mauri, Notarstefano, Mieruch and Poulain</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>The Mediterranean Sea is very sensitive to climatic changes due to its semi-enclosed nature and is therefore defined as one of the hotspots in future climate change projections. In this study, we use Argo float data to assess climatologies and trends in temperature and Ocean Heat Content (OHC) throughout the Mediterranean Sea and for specific sub-basins (e.g. Western and Eastern Mediterranean, Gulf of Lion, South Adriatic). The amount of the OHC, spatially averaged in bins of 1&#xb0;x1&#xb0; over the period from 2001 to 2020, increases from west to east in the Mediterranean Sea. Time series of temperature and OHC from 2005 to 2020, estimated in the surface and intermediate layers (5-700 m) and deeper layer (700-2000 m), reveal significant warming trends and an increase of OHC. The upper 700 m of the Mediterranean Sea show a temperature trend of 0.041 &#xb1; 0.012&#xb0;C&#xb7;yr<sup>-1</sup>, corresponding to an annual increase in OHC of 3.59 &#xb1; 1.02 W&#xb7;m<sup>-2</sup>. The Western Mediterranean Sea (5-700 m) is warming fastest with an increase in temperature at a rate of 0.070 &#xb1; 0.015&#xb0;C&#xb7;yr<sup>-1</sup>, corresponding to a yearly increase in OHC of 5.72 &#xb1; 1.28 W&#xb7;m<sup>-2</sup>. Mixing and convection events within convection sites and along boundary currents transport and disperse the temperature and OHC changes. Significant warming trends are evident in the deeper layers (700-2000 m) of the two deep convection sites in the Mediterranean Sea (Gulf of Lion, South Adriatic), with an exceptionally strong warming trend in the South Adriatic from 2013 to 2020 of 0.058 &#xb1; 0.005&#xb0;C&#xb7;yr<sup>-1</sup>, corresponding to a yearly increase in OHC of 9.43 &#xb1; 0.85 W&#xb7;m<sup>-2</sup>. The warming of the different water masses will show its feedback on ocean dynamics and air-sea fluxes in the next years, decades, and even centuries as these warming waters spread or re-emerge. This will provide more energy to the atmosphere, resulting in more extreme weather events and will also stress ecosystems and accelerate the extinction of several marine species. This study contributes to a better understanding of climate change in the Mediterranean region, and should act as another wake-up call for policy makers and society.</p>
</abstract>
<kwd-group>
<kwd>heat content trends</kwd>
<kwd>temperature trends</kwd>
<kwd>Argo floats</kwd>
<kwd>Mediterranean Sea</kwd>
<kwd>Mediterranean sub-basins</kwd>
<kwd>dense water formation areas</kwd>
<kwd>climate change</kwd>
</kwd-group>
<counts>
<fig-count count="7"/>
<table-count count="3"/>
<equation-count count="6"/>
<ref-count count="114"/>
<page-count count="14"/>
<word-count count="7159"/>
</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 Earth&#x2019;s climate is an open system, and the energy entering or leaving the Earth determines the Earth Energy Imbalance (EEI). The EEI is defined as the net radiative flux at the top of the atmosphere, i.e. as the difference between the incoming solar shortwave radiation and the outgoing infrared longwave radiation, and is considered the most fundamental metric for climate change. Anthropogenic greenhouse gas emissions caused a radiative imbalance at the top of the atmosphere that led to excessive heat within the Earth climate system (<xref ref-type="bibr" rid="B99">Trenberth and Stepaniak, 2004</xref>; <xref ref-type="bibr" rid="B110">von Schuckmann et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B105">Von Schuckmann et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B98">Trenberth et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B45">Hansen et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B97">Trenberth et&#xa0;al., 2014</xref>).</p>
<p>The World Ocean accounts for the uptake of 89% (90%) of the EEI over the period from 1971 to 2018 (2010-2018, respectively) in the upper 700 m (<xref ref-type="bibr" rid="B62">Levitus et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B88">Rhein et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B110">von Schuckmann et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B105">Von Schuckmann et&#xa0;al., 2020</xref>). The heat gain over land accounts for the uptake of 6% (5%) over these periods, while 4% (3%) go into the melting of grounded and floating ice and 1% (2%) go into atmospheric warming (<xref ref-type="bibr" rid="B105">Von Schuckmann et&#xa0;al., 2020</xref>). This quantification of the EEI &#x2013; clearly shows that the ocean plays a major role in the heat uptake and storage. Therefore, the ocean heat content trend is a key component for the quantification of the EEI (<xref ref-type="bibr" rid="B57">Knutti and Rugenstein, 2015</xref>; <xref ref-type="bibr" rid="B105">Von Schuckmann et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B16">Cheng et&#xa0;al., 2023</xref>) and gives an estimate of the net climate forcing (<xref ref-type="bibr" rid="B46">Hansen et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B61">Levitus et&#xa0;al., 2005</xref>). It dominates the energy uptake with most of the warming absorbed by the upper layer (<xref ref-type="bibr" rid="B88">Rhein et&#xa0;al., 2013</xref>) and therefore acts as a strong buffer to climate change.</p>
<p>Due to the high heat capacity of seawater (<xref ref-type="bibr" rid="B73">Millero et&#xa0;al., 1973</xref>), small changes in seawater temperature lead to a large heat storage and therefore a strong increase in Ocean Heat Content (OHC). The global ocean warming for the period from 1955 to 2010 in the upper 700 m was found to be 0.18&#xb0;C, corresponding to an increase in OHC of 0.27 Wm<sup>-2</sup> (per unit area of the World Ocean; <xref ref-type="bibr" rid="B62">Levitus et&#xa0;al., 2012</xref>). The OHC is also directly linked to sea level rise through thermal expansion of the warmer waters, causing a thermosteric sea level rise of 0.41 mmyr<sup>-1</sup> for the upper 700 m layer of the World Ocean from 1955 to 2010 (<xref ref-type="bibr" rid="B62">Levitus et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B17">Church and White, 2011</xref>).</p>
<p>The region considered for our study is the Mediterranean Sea (MS), which is defined as one of the climate hotspots and plays an important role for climate change prediction (<xref ref-type="bibr" rid="B40">Giorgi, 2006</xref>; <xref ref-type="bibr" rid="B7">Bernstein et al., 2008</xref>; <xref ref-type="bibr" rid="B63">Lionello and Scarascia, 2018</xref>; <xref ref-type="bibr" rid="B69">Menna et&#xa0;al., 2022</xref>). Due to its reduced dimension, semi-enclosed morphology, and anti-estuarine circulation (evaporation exceeds over precipitation and river runoff), it responds faster to climatic changes than the global ocean (<xref ref-type="bibr" rid="B40">Giorgi, 2006</xref>; <xref ref-type="bibr" rid="B92">Schroeder et&#xa0;al., 2017</xref>). The MS occupies about 0.32% of the total volume of the global ocean, yet its unique geological history has resulted in high biodiversity with 7-10% of all known marine species (<xref ref-type="bibr" rid="B10">Bianchi and Morri, 2000</xref>; <xref ref-type="bibr" rid="B20">Coll et&#xa0;al., 2010</xref>). During the twentieth century it has undergone rapid changes with accelerating trends in temperature and salinity (<xref ref-type="bibr" rid="B9">B&#xe9;thoux et&#xa0;al., 1998</xref>; <xref ref-type="bibr" rid="B79">Ozer et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B92">Schroeder et&#xa0;al., 2017</xref>) and climate model projections show a further acceleration in the future (<xref ref-type="bibr" rid="B40">Giorgi, 2006</xref>; <xref ref-type="bibr" rid="B41">Giorgi and Lionello, 2008</xref>; <xref ref-type="bibr" rid="B55">Kirtman et al., 2013</xref>). The MS is showing an increase not only in temperature and salinity, but also in sea level and freshwater fluxes during the period 1993-2020 (<xref ref-type="bibr" rid="B69">Menna et&#xa0;al., 2022</xref>). Many species are struggling to adapt to the rapidly warming waters, and more frequent marine heat waves are causing mass mortality events (<xref ref-type="bibr" rid="B39">Garrabou et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B32">Fr&#xf6;licher et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B78">Oliver et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B93">Smith et&#xa0;al., 2022</xref>).</p>
<p>Since the late 1980s, many studies have been conducted to quantify the trends of temperature and OHC in the MS (<xref ref-type="bibr" rid="B101">Vargas-Y&#xe1;&#xf1;ez et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B102">Vargas-Y&#xe1;&#xf1;ez et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B48">Iona et&#xa0;al., 2018</xref>). The time series of the averaged heat content anomaly from 1993 to 2019 (0- 700 m depth layer) shows a yearly trend of 1.4 &#xb1; 0.3 Wm<sup>-2</sup> (OHC trend from Copernicus Marine Service; <ext-link ext-link-type="uri" xlink:href="https://marine.copernicus.eu/access-data/ocean-monitoring-indicators">https://marine.copernicus.eu/access-data/ocean-monitoring-indicators</ext-link>). The yearly trend of temperature and sea level which was assessed from 1993 to 2021 is of 0.035 &#xb1; 0.002&#xb0;C and 2.70 &#xb1; 0.83 mm, respectively (Copernicus Temperature and Sea Level Trend; <ext-link ext-link-type="uri" xlink:href="https://marine.copernicus.eu/access-data/ocean-monitoring-indicators">https://marine.copernicus.eu/access-data/ocean-monitoring-indicators</ext-link>). The sea level rise is due to melting glaciers (<xref ref-type="bibr" rid="B38">Galassi and Spada, 2014</xref>; <xref ref-type="bibr" rid="B67">Marcos and Tsimplis, 2007</xref>; <xref ref-type="bibr" rid="B59">Lambeck and Bard, 2000</xref>) and thermal expansion (<xref ref-type="bibr" rid="B23">Criado-Aldeanueva et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B100">Tsimplis et&#xa0;al., 2008</xref>). In the surface layer, <xref ref-type="bibr" rid="B81">Pisano et&#xa0;al. (2020)</xref> found a yearly temperature trend of 0.041 &#xb1; 0.006&#xb0;C for the whole MS from 1982 to 2018, using a satellite-based dataset. The trend shows uneven spatial patterns, with yearly trends of 0.036 &#xb1; 0.006&#xb0;C and 0.048 &#xb1; 0.006&#xb0;C for the Western Mediterranean and the Levantine-Aegean basin, respectively. In the period 1982-2020, <xref ref-type="bibr" rid="B51">Juza and Tintor&#xe9; (2021)</xref> estimated trend values of 0.032 &#xb1; 0.002&#xb0;Cyr<sup>-1</sup> and 0.044 &#xb1; 0.002&#xb0;Cyr<sup>-1</sup> as averages in the Western and Eastern Mediterranean, respectively. <xref ref-type="bibr" rid="B47">Ibrahim et&#xa0;al. (2021)</xref> defined a trend of 0.033 &#xb1; 0.004&#xb0;Cyr<sup>-1</sup> in the Ionian Sea and Levantine basin. The rapid sea surface warming in the last two decades was associated with a strong increase in marine heatwave days (<xref ref-type="bibr" rid="B4">Bensoussan et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B47">Ibrahim et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B51">Juza and Tintor&#xe9; 2021</xref>; <xref ref-type="bibr" rid="B44">Hamdeno and Alvera-Azcarate, 2023</xref>; <xref ref-type="bibr" rid="B26">Dayan et&#xa0;al., 2023</xref>).</p>
<p>The warming of the surface layer is transported toward deeper layers in the dense water formation areas of the MS: the Gulf of Lion (GoL; <xref ref-type="bibr" rid="B43">Grignon et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B28">Durrieu de Madron et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B94">Tamburini et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B30">Estournel et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B22">Conan et&#xa0;al., 2018</xref>), the Southern Adriatic Pit (SAP; <xref ref-type="bibr" rid="B104">Vilibi&#x107; and Supi&#x107;, 2005</xref>; <xref ref-type="bibr" rid="B3">Artegiani et&#xa0;al., 1989</xref>; <xref ref-type="bibr" rid="B56">Klein et&#xa0;al., 2000</xref>; <xref ref-type="bibr" rid="B35">Ga&#x10d;i&#x107; et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B66">Manca et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B14">Cardin et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B91">Rubino et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B49">Janekovi&#x107; et&#xa0;al., 2014</xref>), the Aegean Sea and the Rhodes Gyre (<xref ref-type="bibr" rid="B95">Theocharis and Georgopoulos, 1993</xref>; <xref ref-type="bibr" rid="B60">Lascaratos et&#xa0;al., 1999</xref>; <xref ref-type="bibr" rid="B65">Malanotte-Rizzoli et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B77">Nittis et&#xa0;al., 2003</xref>; <xref ref-type="bibr" rid="B96">Theocharis et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B89">Roether et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B58">Kubin et&#xa0;al., 2019</xref>). Moreover, boundary currents also play an important role in transporting the changing water mass characteristics to deeper layers (<xref ref-type="bibr" rid="B111">Waldman et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B58">Kubin et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B80">Pinardi et&#xa0;al., 2019</xref>).</p>
<p>The trends of the MS can also influence the thermohaline cell of the North Atlantic (<xref ref-type="bibr" rid="B83">Potter and B&#xe9;thoux, 2004</xref>; <xref ref-type="bibr" rid="B9">B&#xe9;thoux et&#xa0;al., 1998</xref>; <xref ref-type="bibr" rid="B85">Rahmstorf, 1998</xref>). Through the Strait of Gibraltar, Mediterranean Intermediate Waters are exported to the Atlantic, therefore monitoring the temperature and OHC variations in the MS can contribute to the understanding of changes at global level.</p>
<p>This study aims to better understand the temperature changes and the heat storage in the MS. We used sub-surface temperature measurements by Argo floats, which is considered the most practical method to quantify the changes in temperature and OHC (<xref ref-type="bibr" rid="B45">Hansen et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B107">Von Schuckmann and Le Traon, 2011</xref>; <xref ref-type="bibr" rid="B110">von Schuckmann et&#xa0;al., 2016</xref>). We present the first climatology of OHC from <italic>in situ</italic> data in the MS (2001 to 2020). Trends of temperature and OHC for surface, intermediate, and deeper layers were calculated from 2005 to 2020 for the entire Mediterranean, as well as for specified sub-basins (Western and Eastern Mediterranean, the WWestMed, the WWestMed North, the WWestMedSouth and the deep dense water formation areas such as the Gulf of Lion and the South Adriatic Gyre; see <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Bathymetric map (isobaths every 500 m) of the Mediterranean Sea, its sub- and sub-sub-basins and dense water formation sites mentioned in this work. Sub-basins: Western Mediterranean&lt; 15&#xb0;E; Eastern Mediterranean &gt; 15&#xb0;E; Sub-sub-basins: WWestMed, the western part of the Western Mediterranean Sea&lt; 9&#xb0;E; WWestMedNorth, the northern part of the WWestMed; WWestMed South, the southern part of the WWestMed (see green rectangles); SAP, the South Adriatic Pit; NIG, the North Ionian Gyre; IG, the Iera Petra Gyre and RG, the Rhodes Gyre. For exact coordinates see <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1271638-g001.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Mean temperature and standard deviation and temperature and OHC trends and associated error from 2005 to 2020 for surface and intermediate (5-700 m) and deeper (700-2000 m) layers.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="center"/>
<th valign="top" colspan="4" align="center">Surface + Intermediate Layers<break/>(5 &#x2013; 700 m)</th>
<th valign="top" colspan="4" align="center">Deep Layers<break/>(700 &#x2013; 2000 m)</th>
</tr>
<tr>
<th valign="top" align="center">Mean Temp &#xb1; std</th>
<th valign="top" align="center">&#x394;T<break/>[&#xb0;Cyr<sup>-1</sup>]</th>
<th valign="top" align="center">&#x394;OHC [Wm<sup>-2</sup>yr<sup>-1</sup>]</th>
<th valign="top" align="center">Data-points</th>
<th valign="top" align="center">Mean Temp &#xb1; std</th>
<th valign="middle" align="center">&#x394;T<break/>[&#xb0;Cyr<sup>-1</sup>]</th>
<th valign="top" align="center">&#x394;OHC [Wm<sup>-2</sup>yr<sup>-1</sup>]</th>
<th valign="top" align="center">Data-points</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">
<bold>Med</bold>
<break/>30 &#x2013; 46&#xb0;N<break/>-6 &#x2013; 38&#xb0;E</td>
<td valign="middle" align="center">15.4&#xb1;1.3</td>
<td valign="middle" align="center">0.041&#xb1;0.012</td>
<td valign="middle" align="center">3.59 &#xb1; 1.02</td>
<td valign="middle" align="center">41293</td>
<td valign="middle" align="center">13.6 &#xb1; 0.4</td>
<td valign="middle" align="center">
<italic>0.001</italic> &#xb1; <italic>0.008</italic>
</td>
<td valign="middle" align="center">
<italic>0.15</italic> &#xb1;<italic>1.25</italic>
</td>
<td valign="middle" align="center">25999</td>
</tr>
<tr>
<td valign="middle" align="center">
<bold>WestMed</bold>
<break/>34 &#x2013; 44&#xb0;N<break/>-6 &#x2013; 15&#xb0;E</td>
<td valign="middle" align="center">14.6 <inline-formula>
<mml:math display="inline" id="im16">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula>1.0</td>
<td valign="middle" align="center">0.070 &#xb1; 0.015</td>
<td valign="middle" align="center">5.72 &#xb1; 1.28</td>
<td valign="middle" align="center">18486</td>
<td valign="middle" align="center">13.3 &#xb1; 0.3</td>
<td valign="middle" align="center">
<italic>0.000</italic> &#xb1; <italic>0.010</italic>
</td>
<td valign="middle" align="center">
<italic>-0.04</italic> &#xb1;<italic>1.75</italic>
</td>
<td valign="middle" align="center">11645</td>
</tr>
<tr>
<td valign="middle" align="center">
<bold>EastMed</bold>
<break/>30 &#x2013; 46&#xb0;N<break/>15 &#x2013; 38&#xb0;E</td>
<td valign="middle" align="center">16.0 <inline-formula>
<mml:math display="inline" id="im22">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula>1.3</td>
<td valign="middle" align="center">
<italic>0.025</italic> &#xb1; <italic>0.024</italic>
</td>
<td valign="middle" align="center">
<italic>2.18</italic> &#xb1;<italic>2.19</italic>
</td>
<td valign="middle" align="center">22807</td>
<td valign="middle" align="center">13. &#xb1; 0.3</td>
<td valign="middle" align="center">
<italic>-0.005</italic> &#xb1;<italic>0.003</italic>
</td>
<td valign="middle" align="center">
<italic>-0.74</italic> &#xb1;<italic>0.47</italic>
</td>
<td valign="middle" align="center">14354</td>
</tr>
<tr>
<td valign="top" align="center">
<bold>WWestMed</bold>
<break/>34 &#x2013; 44&#xb0;N<break/>-6 &#x2013; 9&#xb0;E</td>
<td valign="middle" align="center">14.4 <inline-formula>
<mml:math display="inline" id="im28">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 1.0</td>
<td valign="middle" align="center">0.063 &#xb1; 0.014</td>
<td valign="middle" align="center">5.46 &#xb1; 1.21</td>
<td valign="middle" align="center">13419</td>
<td valign="middle" align="center">13.2 &#xb1; 0.1</td>
<td valign="middle" align="center">
<italic>0.004</italic> &#xb1; <italic>0.005</italic>
</td>
<td valign="middle" align="center">
<italic>0.71</italic> &#xb1; <italic>0.71</italic>
</td>
<td valign="middle" align="center">9396</td>
</tr>
<tr>
<td valign="top" align="center">
<bold>WWestMed North</bold>
<break/>40 &#x2013; 44&#xb0;N<break/>0 &#x2013; 9&#xb0;E</td>
<td valign="middle" align="center">14.1 <inline-formula>
<mml:math display="inline" id="im34">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.8</td>
<td valign="middle" align="center">0.068 &#xb1; 0.015</td>
<td valign="middle" align="center">5.67 &#xb1; 1.32</td>
<td valign="middle" align="center">5878</td>
<td valign="middle" align="center">13.2 &#xb1; 0.1</td>
<td valign="middle" align="center">0.006 &#xb1; 0.002</td>
<td valign="middle" align="center">1.03 &#xb1; 0.38</td>
<td valign="middle" align="center">4489</td>
</tr>
<tr>
<td valign="top" align="center">
<bold>WWestMed</bold>
<break/>
<bold>South</bold>
<break/>34 &#x2013; 39&#xb0;N<break/>-6 &#x2013; 9&#xb0;E</td>
<td valign="middle" align="center">14.7 <inline-formula>
<mml:math display="inline" id="im40">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.9</td>
<td valign="middle" align="center">0.074 &#xb1; 0.007</td>
<td valign="middle" align="center">6.47 &#xb1; 0.10</td>
<td valign="middle" align="center">5578</td>
<td valign="middle" align="center">13. &#xb1; 0.1</td>
<td valign="middle" align="center">
<italic>0.001</italic> &#xb1; <italic>0.004</italic>
</td>
<td valign="middle" align="center">
<italic>0.19</italic> &#xb1; <italic>0.57</italic>
</td>
<td valign="middle" align="center">3584</td>
</tr>
<tr>
<td valign="top" align="center">
<bold>Gulf of Lion</bold>
<break/>
<bold>(From 2005)</bold>
<break/>41.5 &#x2013; 43.65&#xb0;N<break/>3 &#x2013; 6.2&#xb0;E</td>
<td valign="middle" align="center">14.0 <inline-formula>
<mml:math display="inline" id="im46">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.6</td>
<td valign="middle" align="center">0.046 &#xb1; 0.021</td>
<td valign="middle" align="center">4.00 <inline-formula>
<mml:math display="inline" id="im48">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 1.81</td>
<td valign="middle" align="center">1232</td>
<td valign="middle" align="center">13.2 <inline-formula>
<mml:math display="inline" id="im49">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.1</td>
<td valign="middle" align="center">0.008 &#xb1; 0.003</td>
<td valign="middle" align="center">1.22 <inline-formula>
<mml:math display="inline" id="im51">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.44</td>
<td valign="middle" align="center">979</td>
</tr>
<tr>
<td valign="top" align="center">
<bold>Gulf of Lion</bold>
<break/>
<bold>(From 2013)</bold>
<break/>41.5 &#x2013; 43.65&#xb0;N<break/>3 &#x2013; 6.2&#xb0;E</td>
<td valign="middle" align="center">13.5 <inline-formula>
<mml:math display="inline" id="im52">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.2</td>
<td valign="middle" align="center">0.044 &#xb1; 0.015</td>
<td valign="middle" align="center">3.02 <inline-formula>
<mml:math display="inline" id="im54">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 1.02</td>
<td valign="middle" align="center">914</td>
<td valign="middle" align="center">13.2 <inline-formula>
<mml:math display="inline" id="im55">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.1</td>
<td valign="middle" align="center">0.017 &#xb1; 0.003</td>
<td valign="middle" align="center">2.70 <inline-formula>
<mml:math display="inline" id="im57">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.47</td>
<td valign="middle" align="center">713</td>
</tr>
<tr>
<td valign="top" align="center">
<bold>South Adriatic</bold>
<break/>
<bold>(From 2013)</bold>
<break/>41.5 &#x2013; 42.5&#xb0;N<break/>17 &#x2013; 18.5&#xb0;E</td>
<td valign="middle" align="center">15.0 <inline-formula>
<mml:math display="inline" id="im58">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.5</td>
<td valign="middle" align="center">
<italic>- 0.021</italic> <inline-formula>
<mml:math display="inline" id="im59">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> <italic>0.023</italic>
</td>
<td valign="middle" align="center">
<italic>- 1.84</italic> <inline-formula>
<mml:math display="inline" id="im60">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> <italic>1.97</italic>
</td>
<td valign="middle" align="center">991</td>
<td valign="middle" align="center">13. <inline-formula>
<mml:math display="inline" id="im61">
<mml:mrow>
<mml:mn>7</mml:mn>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.2</td>
<td valign="middle" align="center">0.058 <inline-formula>
<mml:math display="inline" id="im62">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.005</td>
<td valign="middle" align="center">9.43 <inline-formula>
<mml:math display="inline" id="im63">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.85</td>
<td valign="middle" align="center">571</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Trends are considered significant if they are twice as large as the associated error (95% confidence interval). Non significant values are in red.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2">
<label>2</label>
<title>Dataset and methods</title>
<p>Argo floats are autonomous quasi-Lagrangian instruments that move with the ocean currents. They are considered expendable platforms but the small dimension of the MS offers a good chance of potential recoveries (<xref ref-type="bibr" rid="B42">Gonzalez-Santana et&#xa0;al., 2023</xref>). With the help of an external bladder, they modify their volume and are able to ascend and descend in the water column. They are programmed to be parked at a specific drifting depth (mostly at 350 or 1000 m) where they stay for a specified period (1-10 days, mostly 5 days in the MS; <xref ref-type="bibr" rid="B84">Poulain et&#xa0;al., 2007</xref>). Then, they descend to greater depths - up to 2000 m and 4000 m in the case of Core or Deep Argo floats. During their ascent back to the surface, they measure temperature and salinity (and eventually other biogeochemical parameters) throughout the water column (<xref ref-type="bibr" rid="B114">Wong et&#xa0;al., 2020</xref>). The typical vertical resolution of the profiles are 2 m (for 0-100 m), 10 m (for 100-700 m) and 25 m (for 700-2000 m). At the surface, Argo floats transmit the data to satellites and descend again to repeat their diving cycle.</p>
<p>Quality controlled Argo float data were downloaded from the Coriolis Global Data Assembly Center - GDAC (<ext-link ext-link-type="uri" xlink:href="ftp://ftp.ifremer.fr/ifremer/argo/dac/coriolis">ftp://ftp.ifremer.fr/ifremer/argo/dac/coriolis</ext-link>; <xref ref-type="bibr" rid="B13">Cabanes et&#xa0;al., 2021</xref>; Argo float data and metadata from Global Data Assembly Centre (Argo GDAC), SEANOE, <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.17882/42182">https://doi.org/10.17882/42182</ext-link>, 2020.). For this study, only data with the best quality control flags (qc=1, &#x201c;good data&#x201d;) were considered for each float profile and, to additionally ensure the correctness of the data, a visual inspection of all the temperature profiles was performed. The quality controlled data were subsampled over time intervals of 5 days in order to obtain a homogenous data set, i.e. one Argo float profile every 5 day interval.</p>
<p>The total number of Argo float profiles subsampled every 5 days exceeds 38.000 (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2A</bold>
</xref>). The temporal and geographical distribution of these profiles show a strong increase starting in 2012. The geographical distribution (Western and Eastern Mediterranean) is similar for the different seasons (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2B</bold>
</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>
<bold>(A)</bold> Number of Argo float profiles per year within the Mediterranean divided in Western (blue bars) and Eastern (green bars) basins. <bold>(B)</bold> Number of Argo float profiles for the Western and the Eastern Mediterranean basins for winter (JFM), spring (AMJ), summer (JAS) and autumn (OND) from 2001 to 2020.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1271638-g002.tif"/>
</fig>
<p>There are different methods to derive the OHC: it can be inferred by the surface heat flux from space, the thermal expansion of the sea (thermosteric sea level rise) from space or directly by using <italic>in situ</italic> temperature profiles. These subsurface temperature measurements are the most practical way to quantify the excess heat (<xref ref-type="bibr" rid="B55">Kirtman et&#xa0;al., 2013</xref>). In this study, we therefore use the available Argo float data to assess the climatology and the warming trends of temperature and OHC in the MS. For the OHC computation, different formulas were tested (Equation 1-3; <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3f1;</mml:mi>
<mml:mi>z</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> : depth dependent density; <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> : specific heat capacity; <inline-formula>
<mml:math display="inline" id="im3">
<mml:mi>&#x3b8;</mml:mi>
</mml:math>
</inline-formula> : potential temperature; S: salinity; T: temperature) and the results were found to be consistent with one another.</p>
<disp-formula>
<label>1)</label>
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<disp-formula>
<label>2)</label>
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</mml:math>
</disp-formula>
<disp-formula>
<label>3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi mathvariant="normal">&#x2329;</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>H</mml:mi>
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<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#xb7;</mml:mo>
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<mml:mi>k</mml:mi>
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<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>.</mml:mo>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>2018</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>For this study, we have chosen Equation 3, which has been used for recent estimates of OHC for the global ocean as well as for the MS (both for a depth range of 0-700 m and a time range from 2005 to 2019 and 1993 to 2019, respectively; <ext-link ext-link-type="uri" xlink:href="https://marine.copernicus.eu/access-data/ocean-monitoring-indicators?category=105&amp;region=all&amp;search">https://marine.copernicus.eu/access-data/ocean-monitoring-indicators?category=105&amp;region=all&amp;search</ext-link>). The mean OHC per Argo float profile <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:mi mathvariant="normal">&#x2329;</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi mathvariant="normal">&#x232a;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is proportional to the mean temperature <inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:mi mathvariant="normal">&#x2329;</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi mathvariant="normal">&#x232a;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> within a certain depth interval <inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:mi>z</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>z</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>z</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>, with a reference density of <italic>&#x3f1;<sub>0 =</sub>
</italic> 1030 kgm<sup>-3</sup> and a specific heat capacity of <italic>C<sub>p</sub>
</italic>=3980 Jkg<sup>-1</sup>&#xb0;C<sup>-1</sup> (<xref ref-type="bibr" rid="B106">Von Schuckmann et&#xa0;al., 2009</xref>). Units of OHC are Jm<sup>-2</sup>.</p>
<p>Float profiles available in the period 2001-2020 were organized in bins of 1&#xb0;x1&#xb0;. The climatologies of the <inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:mi mathvariant="normal">&#x2329;</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi mathvariant="normal">&#x232a;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> were estimated for each bin within different vertical layers (different <inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mi mathvariant="normal">&#x394;</mml:mi>
<mml:mi>z</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> : the whole layer measured by the Argo floats (5-2000 m), the surface and intermediate layers considered together (5-700 m), the surface (5-150 m), intermediate (150-700 m) and deep (700-2000 m) layers separately. The OHC distribution in the deepest part of the MS is not yet reported in the literature, so the deepest layer measured by floats (1500-2000 m) was also considered for the climatologies.</p>
<p>The trends of temperature and OHC were estimated in the period from 2005 to 2020, due to a limited number of float profiles available before 2005. For the trend calculation, we considered surface and intermediate layers together (5-700 m), the deeper layer (700-2000 m) and surface (5-150 m) and intermediate (150-700 m) layers separately.</p>
<p>Trends were computed using a linear least squares method combined with an autocorrelation correction, following <xref ref-type="bibr" rid="B71">Mieruch et&#xa0;al. (2008)</xref> and <xref ref-type="bibr" rid="B112">Weatherhead et&#xa0;al. (1998)</xref>. The reason for using such a correction is that environmental data are typically autocorrelated. Thus the typical assumption of uncorrelated (white noise) fit residuals in estimating linear trends cannot be justified, and would yield to an underestimation of the trend uncertainties, the errors. Our trend analysis and the interpretation is based on annual data, therefore we can use the simple trend model:</p>
<disp-formula>
<label>4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>&#x3bc;</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where Y<sub>t</sub> are the annual parameters (e.g. temperature), &#x3bc; is the ordinate, &#x3c9; represents the trend, X<sub>t</sub> is the time (years) and N<sub>t</sub> is the autocorrelated noise and modelled as an autoregressive process of order 1 (AR[1]):</p>
<disp-formula>
<label>5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>&#x3d5;</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x3f5;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where &#x3c6; is the autocorrelation at lag one (-1&lt;&#x3c6;&lt;1) and &#x3f5;<sub>t</sub> is considered as the independent non-correlated noise component. For the details of the estimation of the trend and its error we refer to <xref ref-type="bibr" rid="B71">Mieruch et&#xa0;al. (2008)</xref>. Finally, according to probability theory, an estimated trend &#x3c9; is considered statistically significant with a probability of 95% if it is twice as large as its error:</p>
<disp-formula>
<label>6)</label>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mrow>
<mml:mo>|</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
<mml:mo>|</mml:mo>
</mml:mrow>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>The trend analysis of temperature and OHC was done for the whole Mediterranean Sea as well as for specified sub-basins and was expressed in &#xb0;C per year [&#xb0;C&#xb7;yr<sup>-1</sup>] and Watt per square metre [W&#xb7;m<sup>-2</sup>] per year, respectively.</p>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Climatologies and distribution of OHC</title>
<p>The spatial distribution of the number of observations derived by Argo floats in bins of 1&#xb0;x1&#xb0; decreased with the increasing layer depth in the period 2001-2020 (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). For the depth interval of 5-700 m a maximum number of 600 Argo floats profiles per bin was reached within the area of the SAP, followed by 400 and 500 profiles within the area of the Gulf of Lion and the Ierapetra Gyre (IG), respectively (<xref ref-type="fig" rid="f3">
<bold>Figures&#xa0;3A, B</bold>
</xref>). In the deep layer (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3C</bold>
</xref>), maxima of 350 profiles were observed within the areas of the Northwestern Mediterranean, the SAP and the IG.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Number of float profiles from 2001 to 2020 within 1&#xb0;x1&#xb0; grid boxes for <bold>(A)</bold> the surface layer (5-150 m); <bold>(B)</bold> the intermediate layer (150-700 m); <bold>(C)</bold> the deeper layer (700-2000 m) and <bold>(D)</bold> the deepest layer (1500-2000 m) measured by the Argo floats.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1271638-g003.tif"/>
</fig>
<p>The mean OHC was estimated in different layers, along with the related standard deviations, and showed values of different magnitude for the respective layers due to the strong influence of <inline-formula>
<mml:math display="inline" id="im9">
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> on the OHC (see Equation 3). Therefore, a specific colour bar was used for each depth layer. Moreover, to make the different layers comparable, the amount of OHC per 100 m was also listed for each layer (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4</bold>
</xref>, <xref ref-type="fig" rid="f5">
<bold>5</bold>
</xref>; <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Left panel: Mean OHC from 2001 to 2020 within 1&#xb0;x1&#xb0; grid boxes for <bold>(A)</bold> the surface and intermediate layers together (5 - 700 m), <bold>(B)</bold> the surface layer (5-150 m) and <bold>(C)</bold> the intermediate layer (150-700 m). Right Panel: Standard deviation around the mean OHC. Please note the different colour scales.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1271638-g004.tif"/>
</fig>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Left panel: Mean OHC from 2001 to 2020 within 1&#xb0;x1&#xb0; grid boxes for <bold>(A)</bold> the entire depth layer (5-2000 m), <bold>(B)</bold> the deeper layers (700-2000 m) and <bold>c)</bold> the deepest layers (1500-2000 m) measured by Argo floats. Right Panel: Standard deviation around the mean OHC. Please note the different colour scales.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1271638-g005.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Mean OHC and relative standard deviation for all the layers considered (see <xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4</bold>
</xref> and <xref ref-type="fig" rid="f5">
<bold>5</bold>
</xref>) derived for the whole depth layer &#x394;z and per 100 m.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="center"/>
<th valign="top" align="center">Mean OHC for &#x394;z</th>
<th valign="top" align="center">Std mean OHC for &#x394;z</th>
<th valign="top" align="center">Mean OHC per 100 m</th>
<th valign="top" align="center">Std mean OHC per 100m</th>
<th valign="top" align="center">Nr of bins</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">
<bold>5&#x2013;700 m</bold>
</td>
<td valign="top" align="center">409</td>
<td valign="top" align="center">41</td>
<td valign="top" align="center">59</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">337</td>
</tr>
<tr>
<td valign="top" align="center">
<bold>5&#x2013;2000 m</bold>
</td>
<td valign="top" align="center">1160</td>
<td valign="top" align="center">114</td>
<td valign="top" align="center">58</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">337</td>
</tr>
<tr>
<td valign="top" align="center" style="background-color:#f9fcd0">
<bold>5&#x2013;150 m</bold>
</td>
<td valign="top" align="center" style="background-color:#f9fcd0">92</td>
<td valign="top" align="center" style="background-color:#f9fcd0">10</td>
<td valign="top" align="center" style="background-color:#f9fcd0">64</td>
<td valign="top" align="center" style="background-color:#f9fcd0">7</td>
<td valign="top" align="center" style="background-color:#f9fcd0">337</td>
</tr>
<tr>
<td valign="top" align="center" style="background-color:#f9fcd0">
<bold>150&#x2013;700 m</bold>
</td>
<td valign="top" align="center" style="background-color:#f9fcd0">300</td>
<td valign="top" align="center" style="background-color:#f9fcd0">27</td>
<td valign="top" align="center" style="background-color:#f9fcd0">54</td>
<td valign="top" align="center" style="background-color:#f9fcd0">5</td>
<td valign="top" align="center" style="background-color:#f9fcd0">332</td>
</tr>
<tr>
<td valign="top" align="center" style="background-color:#f9fcd0">
<bold>700&#x2013;2000 m</bold>
</td>
<td valign="top" align="center" style="background-color:#f9fcd0">673</td>
<td valign="top" align="center" style="background-color:#f9fcd0">50</td>
<td valign="top" align="center" style="background-color:#f9fcd0">52</td>
<td valign="top" align="center" style="background-color:#f9fcd0">4</td>
<td valign="top" align="center" style="background-color:#f9fcd0">295</td>
</tr>
<tr>
<td valign="top" align="center">
<bold>1500&#x2013;2000 m</bold>
</td>
<td valign="top" align="center">258</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">52</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">222</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>The values retrieved for the surface, intermediate, and deep layers are highlighted in yellow. Units are in 10<sup>8</sup> J&#xb7;m<sup>-2</sup>.</p>
</table-wrap-foot>
</table-wrap>
<p>The amount of the OHC increased moving from west to east in the MS within all layers (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4</bold>
</xref>, <xref ref-type="fig" rid="f5">
<bold>5</bold>
</xref>, left panel). The total amount of the mean OHC over the entire water column measured by the Argo floats (5-2000 m) can be seen in <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5A</bold>
</xref>, left panel. Approximately 38% of this heat was stored in the 5-700 m layer (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>; <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>), ~ 9% was stored in the surface (5-150 m; <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>; left panel; <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>) and ~ 28% in the intermediate (150-700 m; <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4C</bold>
</xref>, left panel; <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>) layers. The deep layer (700-2000 m; <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5B</bold>
</xref>, left panel; <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>) stored ~63% of the heat. A focus on the deepest part of the MS sampled by floats (1500-2000 m) showed a heat amount of ~ 24% of the total, with largest values in the Cretan Sea (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5C</bold>
</xref>, left).</p>
<p>The standard deviations were at least one order of magnitude smaller than the estimated means (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4</bold>
</xref>-<xref ref-type="fig" rid="f5">
<bold>5</bold>
</xref>; <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Considering the three layers separately, the highest range of variability of the OHC per 100 m was observed in the surface layer (7 10<sup>8</sup> Jm<sup>-2</sup>), followed by the intermediate (5 10<sup>8</sup> J m<sup>-2</sup>) and finally by the deep layer (4 10<sup>8</sup> Jm<sup>-2</sup>).</p>
<p>The surface layer showed the expected low amount of OHC within dense water formation sites such as the Gulf of Lion, the South Adriatic Gyre (SAP), the Aegean Sea and the Rhodes Gyre (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>). Larger values of the OHC were observed in the in the Cretan Sea, in the Peloponnese area and south of Cyprus in the surface layer (5-150 m; <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>, left), along the southern and eastern coasts of the Levantine Basin in the intermediate layer (150-700 m; <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4C</bold>
</xref>, left), in the Cretan and southern Aegean seas in the deep layer (700-2000 m; <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5B</bold>
</xref>, left). The Ionian Sea acted as a &#x201c;transition basin&#x201d; between the lower OHC values of the Western Basin and the larger values of the Levantine Basin. The Tyrrhenian and the Adriatic seas showed values comparable with the Western Basin (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>). In the intermediate and deep layers, it was rather the Tyrrhenian and the Southern Adriatic basins that held OHC values intermediate between the westernmost and the easternmost part of the Mediterranean (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4C</bold>
</xref>, <xref ref-type="fig" rid="f5">
<bold>5B</bold>
</xref>; left).</p>
<p>The deepest layer measured by the Argo floats (1500 &#x2013; 2000 m; <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5C</bold>
</xref>) revealed four main different sub-basins in the OHC distribution, confirming the increase in OHC from west to east: the western part of the Western Mediterranean (6&#xb0;W&lt; longitude&lt; 9&#xb0;E; OHC values smaller than 26.5 10<sup>10</sup> Jm<sup>-2</sup>), the Tyrrhenian Sea (9&#xb0;E&lt; longitude&lt; 16&#xb0;E; OHC values range from 26.5 10<sup>9</sup> to 26.7 10<sup>9</sup> Jm<sup>-2</sup>), the Ionian Sea (16&#xb0;E&lt; longitude&lt; 23&#xb0;E; OHC values range from 27 10<sup>9</sup> to 27.7 10<sup>9</sup> Jm<sup>-2</sup>) and the Levantine with the Cretan Sea (25&#xb0;E&lt; longitude&lt; 38&#xb0;E; OHC values range from 27.25 10<sup>9</sup> to 28.5 10<sup>9</sup> Jm<sup>-2</sup>).</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Trends of temperature and OHC</title>
<p>The trends of temperature and OHC were analyzed for surface and intermediate layers together (5-700 m; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>), for deep layers (700-2000 m; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>) and for surface and intermediate layers separately (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). The respective trends were calculated from annual averaged data and are shown in <xref ref-type="table" rid="T1">
<bold>Tables&#xa0;1</bold>
</xref> and <xref ref-type="table" rid="T3">
<bold>3</bold>
</xref>. Monthly averaged temperatures for the entire MS, the Western and the Eastern basins considering the surface and intermediate layers together (5-700 m) are shown in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Mean temperature and standard deviation and temperature and OHC trends and associated error from 2005 to 2020 for surface (5-150 m) and intermediate (150-700 m) layers.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="center"/>
<th valign="top" colspan="4" align="center">Surface Layers<break/>(5 &#x2013; 150 m)</th>
<th valign="top" colspan="4" align="center">Intermediate Layers<break/>(150 &#x2013; 700 m)</th>
</tr>
<tr>
<th valign="top" align="center">Mean Temp &#xb1; std</th>
<th valign="top" align="center">&#x394;T<break/>[&#xb0;Cyr<sup>-1</sup>]</th>
<th valign="top" align="center">&#x394;OHC [Wm<sup>-2</sup>yr<sup>-1</sup>]</th>
<th valign="top" align="center">Data-points</th>
<th valign="top" align="center">Mean Temp &#xb1; std</th>
<th valign="middle" align="center">&#x394;T<break/>[&#xb0;Cyr<sup>-1</sup>]</th>
<th valign="top" align="center">&#x394;OHC [Wm<sup>-2</sup>yr<sup>-1</sup>]</th>
<th valign="top" align="center">Data-points</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="center">
<bold>Med</bold>
<break/>30 &#x2013; 46&#xb0;N<break/>-6 &#x2013; 38&#xb0;E</td>
<td valign="top" align="center">16.8 <inline-formula>
<mml:math display="inline" id="im64">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 2.0</td>
<td valign="top" align="center">0.035<break/>
<inline-formula>
<mml:math display="inline" id="im65">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.015</td>
<td valign="top" align="center">0.64<break/>
<inline-formula>
<mml:math display="inline" id="im66">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.27</td>
<td valign="top" align="center">41225</td>
<td valign="middle" align="center">14. <inline-formula>
<mml:math display="inline" id="im67">
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.7</td>
<td valign="middle" align="center">0.019<break/>
<inline-formula>
<mml:math display="inline" id="im68">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.007</td>
<td valign="top" align="center">1.34 <inline-formula>
<mml:math display="inline" id="im69">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.48</td>
<td valign="top" align="center">40242</td>
</tr>
<tr>
<td valign="middle" align="center">
<bold>WestMed</bold>
<break/>30 &#x2013; 46&#xb0;N<break/>-6 &#x2013; 15&#xb0;E</td>
<td valign="middle" align="center">15.7 <inline-formula>
<mml:math display="inline" id="im70">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 1.6</td>
<td valign="middle" align="center">0.090<break/>
<inline-formula>
<mml:math display="inline" id="im71">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.017</td>
<td valign="top" align="center">1.64 <inline-formula>
<mml:math display="inline" id="im72">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.31</td>
<td valign="top" align="center">18476</td>
<td valign="middle" align="center">13. <inline-formula>
<mml:math display="inline" id="im73">
<mml:mrow>
<mml:mn>7</mml:mn>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.4</td>
<td valign="middle" align="center">0.030<break/>
<inline-formula>
<mml:math display="inline" id="im74">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.008</td>
<td valign="top" align="center">2.10 <inline-formula>
<mml:math display="inline" id="im75">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.55</td>
<td valign="top" align="center">17854</td>
</tr>
<tr>
<td valign="middle" align="center">
<bold>EastMed</bold>
<break/>30 &#x2013; 46&#xb0;N<break/>15 &#x2013; 38&#xb0;E</td>
<td valign="middle" align="center">17.6 <inline-formula>
<mml:math display="inline" id="im76">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula>1.9</td>
<td valign="middle" align="center">
<italic>0.002</italic>
<break/>
<inline-formula>
<mml:math display="inline" id="im77">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula>
<italic>0.025</italic>
</td>
<td valign="top" align="center">
<italic>0.034</italic>
<break/>
<inline-formula>
<mml:math display="inline" id="im78">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula>
<italic>0.45</italic>
</td>
<td valign="top" align="center">22749</td>
<td valign="middle" align="center">14. <inline-formula>
<mml:math display="inline" id="im79">
<mml:mrow>
<mml:mn>8</mml:mn>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>0.5</td>
<td valign="middle" align="center">
<italic>0.015</italic>
<break/>
<inline-formula>
<mml:math display="inline" id="im80">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula>
<italic>0.016</italic>
</td>
<td valign="top" align="center">
<italic>1.04</italic> <inline-formula>
<mml:math display="inline" id="im81">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula>
<italic>1.10</italic>
</td>
<td valign="top" align="center">22388</td>
</tr>
<tr>
<td valign="middle" align="center">
<bold>Gulf of Lion</bold>
<break/>
<bold>(From 2005)</bold>
<break/>41.5 &#x2013; 43.65&#xb0;N<break/>3 &#x2013; 6.2&#xb0;E</td>
<td valign="middle" align="center">14.6 <inline-formula>
<mml:math display="inline" id="im82">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 1.2</td>
<td valign="middle" align="center">0.067<break/>
<inline-formula>
<mml:math display="inline" id="im83">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.025</td>
<td valign="top" align="center">1.21 <inline-formula>
<mml:math display="inline" id="im84">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.46</td>
<td valign="top" align="center">1232</td>
<td valign="middle" align="center">13.4 <inline-formula>
<mml:math display="inline" id="im85">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.2</td>
<td valign="middle" align="center">0.023<break/>
<inline-formula>
<mml:math display="inline" id="im86">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.006</td>
<td valign="top" align="center">1.61 <inline-formula>
<mml:math display="inline" id="im87">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.41</td>
<td valign="top" align="center">1228</td>
</tr>
<tr>
<td valign="middle" align="center">
<bold>Gulf of Lion</bold>
<break/>
<bold>(From 2013)</bold>
<break/>41.5 &#x2013; 43.65&#xb0;N<break/>3 &#x2013; 6.2&#xb0;E</td>
<td valign="middle" align="center">14.8 <inline-formula>
<mml:math display="inline" id="im88">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 1.3</td>
<td valign="middle" align="center">
<italic>0.015</italic>
<break/>
<inline-formula>
<mml:math display="inline" id="im89">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> <italic>0.090</italic>
</td>
<td valign="top" align="center">
<italic>0.27</italic> <inline-formula>
<mml:math display="inline" id="im90">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> <italic>1.63</italic>
</td>
<td valign="top" align="center">918</td>
<td valign="middle" align="center">13.4 <inline-formula>
<mml:math display="inline" id="im91">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.2</td>
<td valign="middle" align="center">0.044<break/>
<inline-formula>
<mml:math display="inline" id="im92">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.015</td>
<td valign="top" align="center">3.02 <inline-formula>
<mml:math display="inline" id="im93">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 1.02</td>
<td valign="top" align="center">914</td>
</tr>
<tr>
<td valign="middle" align="center">
<bold>South Adriatic</bold>
<break/>
<bold>(From2013)</bold>
<break/>41.5 &#x2013; 42.5&#xb0;N<break/>17 &#x2013; 18.5&#xb0;E</td>
<td valign="middle" align="center">15.7 <inline-formula>
<mml:math display="inline" id="im94">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> 0.9</td>
<td valign="middle" align="center">
<italic>-0.047</italic> <inline-formula>
<mml:math display="inline" id="im95">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> <italic>0.032</italic>
</td>
<td valign="top" align="center">
<italic>- 0.84</italic> <inline-formula>
<mml:math display="inline" id="im96">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> <italic>0.58</italic>
</td>
<td valign="top" align="center">991</td>
<td valign="middle" align="center">14. <inline-formula>
<mml:math display="inline" id="im97">
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.2</td>
<td valign="middle" align="center">
<italic>0.027</italic> <inline-formula>
<mml:math display="inline" id="im98">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> <italic>0.019</italic>
</td>
<td valign="top" align="center">
<italic>1.88</italic> <inline-formula>
<mml:math display="inline" id="im99">
<mml:mo>&#xb1;</mml:mo>
</mml:math>
</inline-formula> <italic>1.33</italic>
</td>
<td valign="top" align="center">990</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Trends are considered significant if they are twice as large as the associated error (95% confidence interval). Not significant values are in red.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Time series of monthly mean temperature and calculated trends of annual mean temperature [&#xb0;C] for surface and intermediate layers (5-700 m). Black, blue and green points indicate monthly mean temperatures within the entire Mediterranean Sea, the Western (longitude&lt;15&#xb0;) and the Eastern (longitude&gt;15&#xb0;) Mediterranean Sea, respectively. For the specified depth intervals the magenta, green and blue lines show the best linear fit and trend for the entire Mediterranean Sea and the Eastern and Western Mediterranean Sea, respectively. The trend is only significant (95<sup>th</sup> percentile) if it is twice as large as the error; statistically not significant trends are written in cursive.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1271638-g006.tif"/>
</fig>
<p>In the first 700 m of the water column, the warming rate was of 0.041 &#xb1; 0.012&#xb0;C&#xb7;yr<sup>-1</sup> (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). This positive trend was larger in the Western Mediterranean, which showed an increment of temperature of 0.070 &#xb1; 0.015&#xb0;C&#xb7;yr<sup>-1</sup> (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). The Eastern Mediterranean displayed a weaker positive trend with a temperature increase of 0.025 &#xb1; 0.024&#xb0;C&#xb7;yr<sup>-1</sup> (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). The latter trend is not significant due to the high error (see Methods for trend and error calculation). The temperature in the deep layers of the Western, Eastern and the entire MS exhibited no significant trends during the period considered (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<p>The Southwestern part of the Western Mediterranean (WWestMedSouth; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>) showed the strongest sub-basin warming rate in the layer 5-700 m (0.074 &#xb1; 0.007&#xb0;C.yr<sup>-1</sup>) within the entire MS. The WWestMedNorth (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>), that includes the deep dense water formation site Gulf of Lion, described a significant and strong warming rate in the layer 5-700 m and in the deep layer of 0.068 &#xb1; 0.015&#xb0;C&#xb7;yr<sup>-1</sup> and of 0.006 &#xb1; 0.002&#xb0;C&#xb7;yr<sup>-1</sup>, respectively (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). The annual increase in OHC in the intermediate and deep layers correspond to 5.14 &#xb1; 1.31 W&#xb7;m<sup>-2</sup> and 1.20 &#xb1; 0.36 W&#xb7;m<sup>-2</sup>, respectively.</p>
<p>Significant warming trends within the surface and the intermediate layers considered separately were observed for the entire MS as well as for the Western Mediterranean, while the Eastern Mediterranean did not show statistically significant trends within these layers (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). For surface and intermediate waters, the Eastern Mediterranean showed the highest mean temperature and the highest sub-basin standard deviation of 17.6 &#xb1; 1.9&#xb0;C and 14.8 &#xb1; 0.6&#xb0;C. The strongest warming of surface and intermediate waters occurred in the Western Mediterranean, with a temperature increase of 0.090 &#xb1; 0.017&#xb0;C&#xb7;yr<sup>-1</sup> and 0.030 &#xb1; 0.008&#xb0;C&#xb7;yr<sup>-1</sup>, respectively. The deep dense water formation site Gulf of Lion showed significant warming trends in all layers from 2005 to 2020 (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>; <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>).</p>
<p>A detailed analysis of temperature trends in the two main convection areas of the MS, the Gulf of Lion and the SAP, showed strong warming in these areas. Trends in the Gulf of Lion were estimated both from 2005, including all available float profiles, and from 2013 to be comparable with the time series of the SAP, where data are available from a more recent period (see <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref> and <xref ref-type="table" rid="T1">
<bold>Tables&#xa0;1</bold>
</xref>, <xref ref-type="table" rid="T3">
<bold>3</bold>
</xref>). In the Gulf of Lion, the two trends (since 2005 and since 2013) were very similar in the first 700 m of the water column (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>); in contrast, a double warming was observed in the intermediate (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>; <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>, left panel) and deep (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>; <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>, left panel) layers since 2013, suggesting that the warming from 2013 occurred at a faster rate than before.</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Trend of temperature from 2013 to 2020. Left panel: Gulf of Lion (GoL). Right panel: the South Adriatic Pit (SAP) for <bold>(A)</bold> intermediate (150-700 m) and <bold>(B)</bold> deep (700-2000 m) layers (see <xref ref-type="table" rid="T1">
<bold>Tables&#xa0;1</bold>
</xref>, <xref ref-type="table" rid="T3">
<bold>3</bold>
</xref> for values and coordinates). The text box shows the yearly temperature trend; statistically not significant trends are written in cursive. The red curve shows the annual mean temperatures.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1271638-g007.tif"/>
</fig>
<p>In the SAP, surface and intermediate layers showed not statistically significant trends while the deep layer exhibited a significant warming of 0.058 &#xb1; 0.005&#xb0;C&#xb7;yr<sup>-1</sup> (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>, right panel; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>; annual increase of 9.43 &#xb1; 0.85 W&#xb7;m<sup>-2</sup>). The rate of warming of the deep layer in the Gulf of Lion since 2013 (0.017 &#xb1; 0.003&#xb0;C&#xb7;yr<sup>-1</sup>; annual increase of 2.70 &#xb1; 0.47 W&#xb7;m<sup>-2</sup>) is less than a third of the SAP (0.058 &#xb1; 0.005&#xb0;C&#xb7;yr<sup>-1</sup>; <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>; annual increase of 9.43 &#xb1; 0.85 W&#xb7;m<sup>-2</sup>).</p>
</sec>
</sec>
<sec id="s4" sec-type="discussion|conclusions">
<label>4</label>
<title>Discussion and conclusions</title>
<p>This work adds new insights on the OHC distribution and variability in different depth layers of the MS, focusing on the differences among the sub-basins and on the behavior of deep dense water convection sites. The 1&#xb0;x1&#xb0; climatologies from 2001 to 2020 show an increase in OHC from west to east (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4</bold>
</xref>, <xref ref-type="fig" rid="f5">
<bold>5</bold>
</xref>). The dense water formation sites such as the Gulf of Lion, the SAP, the Aegean Sea and the Rhodes Gyre show the expected low amount of OHC (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4A</bold>
</xref>). Surface layers (5-150 m; <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>) show a high amount of OHC along the boundary currents within the Levantine Sea. Intermediate layers (150-700 m; <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4C</bold>
</xref>) also exhibit a high amount of OHC within the Levantine, the Aegean and within parts of the Ionian Sea. The deepest layer measured by the Argo floats (1500-2000 m; <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5C</bold>
</xref>) reveals four main different sub-basins regarding the OHC distribution, with an increase in OHC from west to east: the West Western Mediterranean, the Tyrrhenian Sea, the Ionian Sea and the Levantine Sea.</p>
<p>Time series of temperature and OHC from 2005 to 2020 revealed significant positive trends in the upper 700 m of the water column, of 0.041&#xb1; 0.012&#xb0;C&#xb7;yr<sup>-1</sup> and of 3.59 &#xb1; 1.02 W&#xb7;m<sup>-2</sup>&#xb7;yr<sup>-1</sup>, respectively (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<p>Compared to the annual OHC trend of 1.5 &#xb1; 1.02 Wm<sup>-2</sup>, estimated in the period from 1993 to 2018 by <xref ref-type="bibr" rid="B108">Von Schuckmann et&#xa0;al. (2018</xref>; see Equation 3 and for dataset description: <ext-link ext-link-type="uri" xlink:href="https://marine.copernicus.eu/access-data/ocean-monitoring-indicators?category=105&amp;region=all&amp;search">https://marine.copernicus.eu/access-data/ocean-monitoring-indicators?category=105&amp;region=all&amp;search</ext-link>), the annual trend derived from Argo float data in the period 2005 - 2020 appears more than doubled. Although this result comes out from two different datasets, it clearly indicates a significant increase of the heat accumulation rate over the last 15 years.</p>
<p>The upper 700 m of the Western Mediterranean are warming fastest with an increase in temperature of 0.070&#xb1; 0.015&#xb0;C&#xb7;yr<sup>-1</sup>, corresponding to an increase in OHC of 5.72 &#xb1; 1.28 W&#xb7;m<sup>-2</sup>&#xb7;yr<sup>-1</sup> (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). These results pave the way for a new &#x201c;view&#x201d; of Mediterranean warming trends than those derived from SST-based estimations (<xref ref-type="bibr" rid="B81">Pisano et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B51">Juza and Tintore, 2021</xref>), which defined an uneven spatial pattern with increasing trends going from west to east. However, according to the float dataset, the Western basin holds less heat (lower OHC in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>) than the Eastern basin (higher OHC in <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>), but with a steep warming trend (<xref ref-type="table" rid="T1">
<bold>Tables&#xa0;1</bold>
</xref>, <xref ref-type="table" rid="T3">
<bold>3</bold>
</xref>).</p>
<p>The southern part of the Western Mediterranean Sea (WWestMed South in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>) exhibits the strongest sub-sub-basin warming trend of the MS for the upper 700 m, which is related to the warming of the resident Mediterranean Intermediate Water (MIW). The MIW is a water mass composed of a mixture of waters coming from the Eastern basin: the Levantine Intermediate (LIW) and the Cretan Intermediate Water (CIW, <ext-link ext-link-type="uri" xlink:href="https://ciesm.org/MWM_Acronyms/MedWaterMassAcronyms.pdf">https://ciesm.org/MWM_Acronyms/MedWaterMassAcronyms.pdf</ext-link>). The heat gain in the MIW (0.019 &#xb1; 0.007&#xb0;Cyr<sup>-1</sup>, see <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>) and in particular in the Western Intermediate Water (WIW, <ext-link ext-link-type="uri" xlink:href="https://ciesm.org/MWM_Acronyms/MedWaterMassAcronyms.pdf">https://ciesm.org/MWM_Acronyms/MedWaterMassAcronyms.pdf</ext-link>) of 0.019 &#xb1; 0.007&#xb0;Cyr<sup>-1</sup> also provides information about the warming of the Mediterranean Outflow Waters (MOW), the saline and warm water mass located in the intermediate depths of the North Atlantic and produced by the outflow of Mediterranean water through the Strait of Gibraltar (<xref ref-type="bibr" rid="B74">Millot et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B76">Naranjo et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B27">de Pascual-Collar et&#xa0;al., 2019</xref>). This water mass is one of the most important intermediate water masses in the North Atlantic; it is involved in the North Atlantic Deep Water formation processes and its properties and variability have a significant impact on global climate (<xref ref-type="bibr" rid="B1">Aldama-Campino and D&#xf6;&#xf6;s, 2020</xref>).</p>
<p>Significant warming trends are evident in the intermediate and deep layers (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>) of the two deep convection sites in the MS (Gulf of Lion, South Adriatic; <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>), with an exceptionally strong warming trend in the South Adriatic in 2013-2020 (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>, right panel; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). This result is consistent with recent studies showing a steady temperature increase in the deep layer of this area (<xref ref-type="bibr" rid="B18">Civitarese et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B14">Cardin et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B15">Cardin et&#xa0;al., 2020</xref>). Thermohaline properties in the SAP are closely related to the periodic reversal (from anticyclonic to cyclonic and vice-versa) of the Northern Ionian Gyre (NIG; <xref ref-type="bibr" rid="B33">Ga&#x10d;i&#x107; et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B70">Menna et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B90">Rubino et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B37">Ga&#x10d;i&#x107; et&#xa0;al., 2021</xref>) on a quasi-decadal temporal scale (<xref ref-type="bibr" rid="B19">Civitarese et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B72">Mihanovi&#x107; et&#xa0;al., 2021</xref>). NIG reversals affect the water mass distribution among the Eastern Mediterranean sub-basins (<xref ref-type="bibr" rid="B34">Ga&#x10d;i&#x107; et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B8">Bessi&#xe8;res et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B86">Reale et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B109">von Schuckmann et&#xa0;al., 2019</xref>), in turn influencing the thermohaline properties of the whole Mediterranean on decadal and multi-decadal scales (<xref ref-type="bibr" rid="B36">Ga&#x10d;i&#x107; et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B92">Schroeder et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B82">Placenti et&#xa0;al., 2022</xref>). The effect of the NIG reversal on the SAP intermediate layer results in a clear oscillation in the temperature time series (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>, right panel). Larger values are observed during the cyclonic phase (2014-2015 and 2020-2021), which favors the inflow in the SAP of water of Levantine origin (warmer and saltier), and lower values during the anticyclonic phase, which favors the inflow of water of Atlantic origin (colder and less salty). Although less pronounced, a temperature oscillation is also observed in the deep layer that is in phase with that of the intermediate layer, emphasizing the role of convective mixing and winter convection in the vertical distribution of properties and associated long-term variations in the water column.</p>
<p>The Gulf of Lion also shows quasi-decadal variations in the intermediate layer (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>, left panel), which are probably also related to the LIW temperature variations associated with the NIG reversals. <xref ref-type="bibr" rid="B36">Ga&#x10d;i&#x107; et&#xa0;al. (2013)</xref> defined a travel time of the LIW between the Sicily Channel and the Gulf of Lion of ~ 10-12 yr, while <xref ref-type="bibr" rid="B82">Placenti et&#xa0;al. (2022)</xref> found a lag of ~ 9-10 yr between the NIG reversals and their effect in the Sicily Channel. Combining these two results, it can be argued that the temperature increase (decrease) in the intermediate layer of the Gulf of Lion (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>, left panel) in 2014-2017 (2018-2019) can be related to the temperature increase (decrease) observed in the Sicily Channel in 1998-2006 (2007-2010), which in turn is related to the anticyclonic (cyclonic) NIG of 1988-1996 (1998-2005) (see <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref> in <xref ref-type="bibr" rid="B82">Placenti et&#xa0;al., 2022</xref>). Quasi-decadal temperature fluctuations in the deep layer in the Gulf of Lion (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7B</bold>
</xref>, right panel) appear to be out of phase with the intermediate layer (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref>, right panel), revealing a weak communication between the two layers. This result can be a consequence of the absence of bottom-reaching convection in the Western Mediterranean since 2014 (<xref ref-type="bibr" rid="B50">Josey and Schroeder, 2013</xref>; <xref ref-type="bibr" rid="B68">Margirier et&#xa0;al., 2020</xref>). Under these conditions, the intermediate waters in the Gulf of Lion became warmer and saltier throughout the basin (<xref ref-type="bibr" rid="B68">Margirier et&#xa0;al., 2020</xref>), supporting the steep trend observed in <xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7A</bold>
</xref> (left panel) compared to the previous period (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>).</p>
<p>The advection and diffusion of the temperature and the OHC leads to a general warming of the deeper sea. The sinking of surface water masses does not only take place within the deep dense water formation sites, but also along boundary currents. This has been shown by theoretical (<xref ref-type="bibr" rid="B111">Waldman et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B80">Pinardi et&#xa0;al., 2019</xref>) and experimental (<xref ref-type="bibr" rid="B58">Kubin et&#xa0;al., 2019</xref>) studies within the MS: the net sinking along the boundary currents is due to the conservation of potential vorticity and serves to balance the friction along the boundary currents. As a consequence, the warming of deeper layers might be more intense than previously thought and can potentially shift deeper ecosystems within the deep dense water formation sites (<xref ref-type="bibr" rid="B94">Tamburini et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B21">Coma et&#xa0;al., 2009</xref>).</p>
<p>In fact, the high amount of OHC in the surface layer along the boundary currents in the Levantine Sea (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4B</bold>
</xref>) is transported to intermediate (and eventually also to deeper) layers. The warm Levantine Intermediate Water (LIW) enters the Aegean Sea through the Cretan Straits as Modified Levantine Intermediate Water (MLIW; <xref ref-type="bibr" rid="B103">Velaoras and Lascaratos, 2010</xref>), leading to warm Aegean intermediate waters and as a consequence also to warm intermediate waters exhibiting a high amount of OHC within the Ionian Sea (outflow of the Aegean Sea; <xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4C</bold>
</xref>).</p>
<p>The warming of these surface and intermediate water masses also influences the preconditioning for the deep convection site in the Gulf of Lion (<xref ref-type="bibr" rid="B43">Grignon et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B30">Estournel et&#xa0;al., 2016</xref>).</p>
<p>The subduction and spreading of surface water anomalies and the consequent warming of intermediate and deep water masses are already showing their feedback on ocean dynamics and the atmosphere (air-sea fluxes) and will continue to do so in the coming years, decades, or even centuries as these warming water masses spread or re-emerge (<xref ref-type="bibr" rid="B2">Artale et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B64">Lo Bue et&#xa0;al., 2021</xref>). Marine heatwaves have also become and will become more frequent (<xref ref-type="bibr" rid="B32">Fr&#xf6;licher et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B25">Darmaraki et&#xa0;al., 2019a</xref>; <xref ref-type="bibr" rid="B24">Darmaraki et&#xa0;al., 2019b</xref>; <xref ref-type="bibr" rid="B78">Oliver et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B52">Juza et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B44">Hamdeno and Alvera-Azcarate, 2023</xref>). These unprecedented changes will stress ecosystems and accelerate the loss of biodiversity and the extinction of several marine species who cannot adapt to such rapid temperature changes (<xref ref-type="bibr" rid="B39">Garrabou et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B93">Smith et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B31">Fragkopoulou et&#xa0;al., 2023</xref>). Moreover, impacts of climate change also threaten indigenous cultures and their knowledge about the ocean and ecosystems (<xref ref-type="bibr" rid="B11">Bindoff et&#xa0;al., 2019</xref>).</p>
<p>Therefore, this study should act as another wake up call for policy makers and society. The stabilization of the climate - agreed by the UNFCCC in 1992 and the Paris agreement in 2015 - would require that the EEI is reduced to approximately zero in order to achieve the Earth&#x2019;s system quasi-equilibrium, which corresponds to a decrease of atmospheric CO<sub>2</sub> from 410 ppm to 353 ppm (<xref ref-type="bibr" rid="B105">Von Schuckmann et&#xa0;al., 2020</xref>). This can only happen if social, economic and ecological development are no longer seen as separate parts, but as interconnected (<xref ref-type="bibr" rid="B5">Berkes, 2017</xref>; <xref ref-type="bibr" rid="B105">Von Schuckmann et&#xa0;al., 2020</xref>).</p>
<p>The 2021-2030 UN Decade of Ocean Science for Sustainable Development aims to create a more holistic and integrated approach, with an emphasis also on indigenous people and the traditional knowledge of local people to achieve a truly sustainable approach and not just green- or bluewashing projects. Blue economy and blue growth is often doing more harm than good, because it is still based on exploitation and on the concept of economic growth on a finite planet (<xref ref-type="bibr" rid="B29">Ehlers, 2016</xref>), while indigenous people and their traditional conservation and management are based on the respect of nature and taking care of the land (<xref ref-type="bibr" rid="B75">Minerbi, 1999</xref>; <xref ref-type="bibr" rid="B53">Kealiikanakaoleohaililani and Giardina, 2016</xref>; <xref ref-type="bibr" rid="B5">Berkes, 2017</xref>; <xref ref-type="bibr" rid="B113">Witte and Xu&#xe9;, 2018</xref>; UNESCO Man and Biosphere Programme, <xref ref-type="bibr" rid="B87">Reed, 2019</xref>). Such holistic ways of understanding the environment offer alternatives to the prevailing consumption-oriented values of Western societies (<xref ref-type="bibr" rid="B6">Berkes and Turner, 2006</xref>; <xref ref-type="bibr" rid="B54">Kimmerer, 2012</xref>; <xref ref-type="bibr" rid="B12">Brond&#xed;zio et&#xa0;al., 2021</xref>).</p>
<p>Therefore, possible solutions cannot only be of technological nature, but require an urgent and strong shift of our way of thinking and of our entire worldview to make sure that future generations can experience healthy, living oceans and ecosystems.</p>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: Argo float data and metadata from Global Data Assembly Centre (Argo GDAC), SEANOE, <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.17882/42182">https://doi.org/10.17882/42182</ext-link>, 2020.</p>
</sec>
<sec id="s6" sec-type="author-contributions">
<title>Author contributions</title>
<p>EK: Conceptualization, Data curation, Investigation, Methodology, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing, Software, Visualization. MM: Funding acquisition, Investigation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. EM: Funding acquisition, Writing &#x2013; review &amp; editing. GN: Data curation, Writing &#x2013; review &amp; editing. SM: Investigation, Software, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. PP: Conceptualization, Funding acquisition, Methodology, Writing &#x2013; review &amp; editing.</p>
</sec>
</body>
<back>
<sec id="s7" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This research was funded by the Italian Ministry of University and Research as part of the Argo-Italy program.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We thank all the people involved with the preparation and deployment of the Argo floats in the Mediterranean Sea. In particular, special thanks to Antonio Bussani and Massimo Pacciaroni for the help with the data processing.</p>
</ack>
<sec id="s8" 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="s9" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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