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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.2022.842251</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 Forgotten Azores Current: A Long-Term Perspective</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Fraz&#xe3;o</surname><given-names>Helena C.</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/1517525"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Prien</surname><given-names>Ralf D.</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/606775"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Schulz-Bull</surname><given-names>Detlef E.</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/787729"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Seidov</surname><given-names>Dan</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Waniek</surname><given-names>Joanna J.</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/651821"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Marine Chemistry, Leibniz Institute for Baltic Sea Research Warnem&#xfc;nde</institution>, <addr-line>Rostock</addr-line>, <country>Germany</country></aff>
<aff id="aff2"><sup>2</sup><institution>National Centers for Environmental Information, National Oceanic and Atmospheric Administration (NOAA)</institution>, <addr-line>Silver Spring, MD</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Ming Li, University of Maryland Center for Environmental Science (UMCES), United States</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Tal Ezer, Old Dominion University, United States; Manuel Bensi, Istituto Nazionale di Oceanografia e di Geofisica Sperimentale, Italy</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Helena C. Fraz&#xe3;o, <email xlink:href="mailto:helena.frazao@io-warnemuende.de">helena.frazao@io-warnemuende.de</email>
</p>
</fn>
<fn fn-type="other" id="fn002">
<p>This article was submitted to Physical Oceanography, a section of the journal Frontiers in Marine Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>28</day>
<month>04</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>9</volume>
<elocation-id>842251</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>12</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>05</day>
<month>04</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Fraz&#xe3;o, Prien, Schulz-Bull, Seidov and Waniek</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Fraz&#xe3;o, Prien, Schulz-Bull, Seidov and Waniek</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 Atlantic Meridional Overturning Circulation (AMOC) and its surface limb, the Gulf Stream, are in their weakest state since the last millennium. The consequences of this weakening in the Northeast Atlantic are not yet known. We show that the slowdown of the Gulf Stream in the 1960s, 1970s, and after 2000 may have caused a delayed weakening of the Azores Current. Concurrently, the Azores Front associated with the Azores Current migrated northward since the 1970s due to gradual changes in the Atlantic Multidecadal Oscillation and ocean heat content. We argue that the AMOC slowdown is also detectable in the low-energy region of the Northeast Atlantic and that the dynamics of Azores Current tightly connects to that of the dynamics of the Gulf Stream and AMOC on decadal and longer time scales.</p>
</abstract>
<kwd-group>
<kwd>Azores Current</kwd>
<kwd>Azores Front</kwd>
<kwd>Gulf Stream</kwd>
<kwd>North Atlantic Circulation</kwd>
<kwd>Atlantic Multidecadal Oscillation</kwd>
<kwd>Ocean Heat Content</kwd>
<kwd>North Atlantic</kwd>
</kwd-group>
<contract-sponsor id="cn001">Deutsche Forschungsgemeinschaft<named-content content-type="fundref-id">10.13039/501100001659</named-content>
</contract-sponsor>
<counts>
<fig-count count="6"/>
<table-count count="0"/>
<equation-count count="0"/>
<ref-count count="95"/>
<page-count count="14"/>
<word-count count="8404"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>Over the last century, multiple changes in large-scale circulation and water properties were reported in the North Atlantic. Among them, the most intriguing and alarming are the recent slowdown of the Atlantic Meridional Overturning Circulation (AMOC) (<xref ref-type="bibr" rid="B8">Bryden et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B9">Caesar et&#xa0;al., 2021</xref>) and an increase in ocean heat content (OHC) in the upper 2000 m of the water column since the mid-20th century (<xref ref-type="bibr" rid="B48">Levitus et&#xa0;al., 2012</xref>). The Intergovernmental Panel on Climate Change (IPCC) projects a very likely weakening of the AMOC over the 21st century in comparison to its pre-industrial state (<xref ref-type="bibr" rid="B12">Collins et&#xa0;al., 2013</xref>) under warmer climate conditions, at least partially caused by increased anthropogenic carbon dioxide concentration in the atmosphere (<xref ref-type="bibr" rid="B10">Caesar et&#xa0;al., 2018</xref>).</p>    <p>The AMOC strength depends, among other factors, on the Gulf Stream&#x2019;s strength and position (<xref ref-type="bibr" rid="B17">de Co&#xeb;tlogon et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B39">Joyce and Zhang, 2010</xref>). Since the 1990s, Gulf Stream transports have strongly declined (<xref ref-type="bibr" rid="B19">Ezer, 2015</xref>; <xref ref-type="bibr" rid="B18">Dong et&#xa0;al., 2019</xref>). Ocean warming and the AMOC slowing are supposed to be linked to the recent Gulf Stream decline, which may cause sea-level rise along the U.S. East Coast (<xref ref-type="bibr" rid="B20">Ezer et&#xa0;al., 2013</xref>). However, quantifying the Gulf Stream slowdown from direct current observations is still difficult to achieve (<xref ref-type="bibr" rid="B67">Rossby et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B2">Andres et&#xa0;al., 2020</xref>). Additionally, Gulf Stream variability and pathway have been associated with the North Atlantic Oscillation (NAO) (e.g., <xref ref-type="bibr" rid="B38">Joyce et&#xa0;al., 2000</xref>; <xref ref-type="bibr" rid="B95">Zhang et&#xa0;al., 2020</xref>), warming in the southeast region of the Gulf Stream (<xref ref-type="bibr" rid="B71">Seidov et&#xa0;al., 2019a</xref>) and the Atlantic Multidecadal Oscillation (AMO) phase (<xref ref-type="bibr" rid="B56">Nigam et&#xa0;al., 2018</xref>). Moreover, the reconstructions of the Gulf Stream transport and some modeling efforts revealed a weakening of the Gulf Stream during the 1960s and 1970s (<xref ref-type="bibr" rid="B32">Greatbatch et&#xa0;al., 1991</xref>; <xref ref-type="bibr" rid="B19">Ezer, 2015</xref>). However, possible consequences of an AMOC slowdown for the circulation and thermohaline structure in the mid-latitude of the Northeastern Atlantic have not yet been sufficiently studied. A new focus on this part of the North Atlantic Ocean is needed because of the dependence of the Azores Current, as the major pathway of eastward transport into the recirculation in the Canary Basin, on the AMOC dynamics (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1A</bold></xref>). The Azores Current is weaker than the Gulf Stream, with kinetic energy values exceeding 200 cm<sup>2</sup> s<sup>-2</sup> at the surface between the Mid-Atlantic Ridge (MAR) and 29&#xb0;W (<xref ref-type="bibr" rid="B3">Barbosa Aguiar et&#xa0;al., 2011</xref>), falling in the lower energy band (<xref ref-type="bibr" rid="B29">Gar&#xe7;on et&#xa0;al., 2001</xref>). Therefore, being a much weaker current, the Azores Current might be more sensitive to AMOC variability than the more powerful Gulf Stream current system and thus not as easily discovered.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>North Atlantic circulation at the surface. <bold>(A)</bold> Schematic representation of the North Atlantic Subtropical Gyre currents at the surface: Caribbean Current (CaC), Florida Current (FC), Antilles Current (AC), Gulf Stream (GS), North Atlantic Current (NAC), Azores Current (AzC), Canary Current (CC), North Atlantic Equatorial Current (NEC), and North Atlantic Equatorial Counter Current (NECC). Mid-Atlantic Ridge (MAR) and the Kiel 276 mooring (red star) are also identified (adapted from <xref ref-type="bibr" rid="B84">Tomczak and Godfrey, 1994</xref> and <xref ref-type="bibr" rid="B16">Daniault et&#xa0;al., 2016</xref>). <bold>(B)</bold> Mean temperature and mean velocity at 5 m depth in the North Atlantic basin from the SODA-POP v2.2.4 (<xref ref-type="bibr" rid="B11">Carton and Giese, 2008</xref>; <xref ref-type="bibr" rid="B30">Giese and Ray, 2011</xref>) averaged between 1871 and 2010. Black boxes show our study domains in the Gulf Stream (between 75&#xb0;W and 45&#xb0;W, divided into three 10&#xb0; sub-zones) and in the Azores Current (between 36&#xb0;W and 20&#xb0;W). A thin grey line depicts the 2000 m-isobath. The time-averaged annual position of the Azores Front (AF) position is represented by a thick black line between 30&#xb0;W and 20&#xb0;W for the period 1871-2010.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-842251-g001.tif"/>
</fig>
<p>The Azores Current originates near the Grand Banks (40&#xb0;N, 45&#xb0;W), where the Gulf Stream splits into two main branches &#x2013; the North Atlantic Current and the Azores Current (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>). It then flows south-eastward until it crosses the MAR at approximately 34&#xb0;N, 37&#xb0;W, and then turns eastward as a coherent jet towards the Strait of Gibraltar. East of the Mid-Atlantic Ridge, the Azores Current forms three main branches, the easternmost branch heads into the Canary Basin and feeds the Canary Current (<xref ref-type="bibr" rid="B81">Stramma, 1984</xref>; <xref ref-type="bibr" rid="B55">New et&#xa0;al., 2001</xref>; <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>), while the other two branches recirculate into the North Equatorial Current (<xref ref-type="bibr" rid="B50">Maillard and K&#xe4;se, 1989</xref>; <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>). Furthermore, the Azores Current recirculates in two westward countercurrents &#x2013; (i) north (known as the Azores Countercurrent; <xref ref-type="bibr" rid="B57">Onken, 1993</xref>) and (ii) south of the Azores Current core (<xref ref-type="bibr" rid="B60">Peliz et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B3">Barbosa Aguiar et&#xa0;al., 2011</xref>). The Azores Current&#x2019;s core is located between 33&#xb0;N and 36&#xb0;N east of MAR (<xref ref-type="fig" rid="f1"><bold>Figures&#xa0;1B</bold></xref>, <xref ref-type="fig" rid="f2"><bold>2</bold></xref>), transporting 10&#x2013;12 Sv (1 Sv = 10<sup>6</sup> m<sup>3</sup> s<sup>-1</sup>) eastward in the upper 1000 m (e.g., <xref ref-type="bibr" rid="B40">K&#xe4;se and Siedler, 1982</xref>). The Azores Current surface velocity and transports decrease eastwards (<xref ref-type="bibr" rid="B60">Peliz et&#xa0;al., 2007</xref>). Consequently, the eddy field along the Azores Current jet varies zonally (<xref ref-type="bibr" rid="B3">Barbosa Aguiar et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B75">Silva-Fernandes and Peliz, 2020</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>The Azores Current System. Average of the zonal velocity component at the Azores Current region between 36&#xb0;W and 20&#xb0;W (see <xref ref-type="fig" rid="f1"><bold>Figures&#xa0;1B</bold></xref>) for the period 1871 and 2010. Positive values indicate eastward flow. The Azores Current (AzC) and Azores Countercurrent (AzCC; <xref ref-type="bibr" rid="B57">Onken, 1993</xref>) cores are identified.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-842251-g002.tif"/>
</fig>
<p>The Azores Current and its associated thermohaline Azores Front comprise the northeast boundary of the North Atlantic subtropical gyre. Importantly, the Azores Front-Current system separates two different biogeochemical regimes (<xref ref-type="bibr" rid="B27">Fr&#xfc;ndt and Waniek, 2012</xref>) &#x2212; the cold and more productive temperate Eastern North Atlantic Water in the north and the warm and oligotrophic 18&#xb0;C-mode water south of the Azores Current. The changes in this system may be, therefore, critical for the long-term alteration of the biogeochemical regime in this region. Unfortunately, the existing analyses of the structure and variability of the Azores Front-Current system using hydrographic data are limited to the last 40 years and mainly based on quasi-synoptic surveys and drifters (e.g., <xref ref-type="bibr" rid="B57">Onken, 1993</xref>; <xref ref-type="bibr" rid="B1">Alves et&#xa0;al., 2002</xref>) or the Kiel 276 mooring data located at 33&#xb0;N, 22&#xb0;W (30 years of current and temperature measurements <xref ref-type="bibr" rid="B73">Siedler et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B26">Fr&#xfc;ndt et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B23">Fraz&#xe3;o et&#xa0;al., 2021</xref>; <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref> red star). To date, most studies described the Azores Current&#x2019;s transports (e.g., <xref ref-type="bibr" rid="B1">Alves et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B60">Peliz et&#xa0;al., 2007</xref>, among others), the spatial and vertical structure of the Azores Current (<xref ref-type="bibr" rid="B82">Stramma and M&#xfc;ller, 1989</xref>; <xref ref-type="bibr" rid="B13">Comas-Rodr&#xed;guez et&#xa0;al., 2011</xref>), its meandering characteristic (e.g., <xref ref-type="bibr" rid="B74">Siedler et&#xa0;al., 1985</xref>; <xref ref-type="bibr" rid="B1">Alves et&#xa0;al., 2002</xref>), and the zonal variability of the Kinetic Energy (e.g., <xref ref-type="bibr" rid="B64">Richardson, 1983</xref>; <xref ref-type="bibr" rid="B45">Le Traon and De May, 1994</xref>; <xref ref-type="bibr" rid="B87">Volkov and Fu, 2011</xref>; <xref ref-type="bibr" rid="B75">Silva-Fernandes and Peliz, 2020</xref>). The interest in the Azores Current has recently increased as satellite altimeter data became available, allowing far better monitoring of the Azores Current surface signature and mesoscale variability (<xref ref-type="bibr" rid="B3">Barbosa Aguiar et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B75">Silva-Fernandes and Peliz, 2020</xref>). There are some modeling studies of the Azores Current, but their main focus remained on the possible link between the Azores Current system and the Mediterranean Outflow Water (MOW) based on the dynamical concept of the <italic>&#x3b2;</italic>-plume mechanism (<xref ref-type="bibr" rid="B36">Jia, 2000</xref>; <xref ref-type="bibr" rid="B42">Kida et&#xa0;al., 2008;</xref> <xref ref-type="bibr" rid="B86">Volkov and Fu, 2010</xref>), rather than on a potential link between the Azores Current and AMOC. Yet, the driving mechanisms for the Azores Current are not fully understood. <xref ref-type="bibr" rid="B77">Spall (1990)</xref>, using a numerical model, analyzed the circulation in the Canary basin and concluded that the model misrepresented the position of the Azores Current and its transports. Nevertheless, he could not explain why the model did not adequately represent the Azores Current since the dominant forcing mechanisms at the time were not determined. However, little progress has been made since <xref ref-type="bibr" rid="B77">Spall (1990)</xref>, and some hypotheses have been put forward without reaching a general consensus. The latest hypothesis formulates that a combined effect of the wind and the <italic>&#x3b2;</italic> -plume mechanism might drive Azores Current (<xref ref-type="bibr" rid="B60">Peliz et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B43">Lamas et&#xa0;al., 2010</xref>). However, the NAO, as the primary mode associated with changes in the wind field over the North Atlantic Ocean, has shown to have little influence on the Azores Current magnitude (<xref ref-type="bibr" rid="B87">Volkov and Fu, 2011</xref>). <xref ref-type="bibr" rid="B73">Siedler et&#xa0;al. (2005)</xref> argued that the Azores Current&#x2019;s axis during the 1990s was further south than in the 1980s. Nonetheless, those links were calculated over periods shorter than 30 years, and the long-term influence of the NAO over the Azores Current is not yet known.</p>
<p>Understanding the multi<bold>-</bold>decadal variability of the Azores Current and its importance in a wider circulation context of the North Atlantic subtropical gyre is currently far from complete. Here we explore the link between the Gulf Stream and the Azores Current, the latter as an extension of the Gulf Stream in the eastern subtropical Atlantic (<xref ref-type="bibr" rid="B69">Schmitz and McCartney, 1993</xref>; <xref ref-type="bibr" rid="B65">Richardson, 2001</xref>). Furthermore, we consider a possible link between the reported slowdown of the Gulf Stream (<xref ref-type="bibr" rid="B32">Greatbatch et&#xa0;al., 1991</xref>; <xref ref-type="bibr" rid="B19">Ezer, 2015</xref>; <xref ref-type="bibr" rid="B18">Dong et&#xa0;al., 2019</xref>) and a decline in the Azores Current strength.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>Materials and Methods</title>
<p>We used monthly temperature and velocity data from the Simple Ocean Data Assimilation reanalysis (SODA-POP v2.2.4) in the Gulf Stream (30&#xb0;N&#x2013;50&#xb0;N, 75&#xb0;W&#x2013;45&#xb0;W; <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1B</bold></xref>) and at the Azores Current regions (30&#xb0;N&#x2013;40&#xb0;N, 36&#xb0;W&#x2013;20&#xb0;W; <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1B</bold></xref>) between 1871&#x2013;2010 (<xref ref-type="bibr" rid="B11">Carton and Giese, 2008</xref>; <xref ref-type="bibr" rid="B30">Giese and Ray, 2011</xref>). The SODA assimilation is performed sequentially in a 10-day cycle, with corrections applied incrementally at every time step. Output variables are averaged every 5 days and mapped onto a uniform global 0.5&#xb0;&#xd7; 0.5&#xb0; horizontal grid using the horizontal grid spherical coordinate remapping and interpolation package of <xref ref-type="bibr" rid="B37">Jones (1999)</xref>. The ocean model is based on Parallel Ocean Programming (POP; <xref ref-type="bibr" rid="B76">Smith et&#xa0;al. (1992)</xref> with an average horizontal resolution of 0.4&#xb0; in longitude &#xd7; 0.25&#xb0; in latitude. The surface boundary conditions are provided by the Twentieth Century Atmospheric Reanalysis product (20CRv2; <xref ref-type="bibr" rid="B14">Compo et&#xa0;al., 2011</xref>). From 20CRv2, the surface wind stress is used for the surface momentum flux; additionally, the heat and freshwater fluxes are calculated using the solar radiation, 2 m air temperature, cloud cover, 10 m wind speed, specific humidity, and precipitation (<xref ref-type="bibr" rid="B30">Giese and Ray, 2011</xref>). SODA-POP assimilates all available hydrographic profile data from the World Ocean Database 2009 (<xref ref-type="bibr" rid="B6">Boyer et&#xa0;al., 2009</xref>), including CTD, buoys, moorings, and expendable bathythermograph (XBT) and mechanical bathythermograph (MBT). The temperature obtained from XBT and MBT was corrected following <xref ref-type="bibr" rid="B49">Levitus et&#xa0;al. (2009)</xref>. Surface temperature data is provided by the International Comprehensive Ocean-Atmosphere Data Set (ICOADS 2.5); however, other datasets are also used (for more details about the additional datasets used, see <xref ref-type="bibr" rid="B30">Giese and Ray, 2011</xref>). The monthly property fields (temperature, salinity, velocity) used in this study have a spatial resolution of 0.5&#xb0;&#xd7; 0.5&#xb0;, with 40 depth levels.</p>
<p>We further divided the Gulf Stream region into three 10&#xb0; longitude zones, 75&#xb0;W&#x2212;65&#xb0;W, 65&#xb0;W&#x2212;55&#xb0;W, and 55&#xb0;W&#x2212;45&#xb0;W, according to the Gulf Stream behavior and resilient position of the jet-like flow (<xref ref-type="bibr" rid="B18">Dong et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B71">Seidov et&#xa0;al., 2019a</xref>) (see the areas shown by three boxes in the Gulf Stream region <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1B</bold></xref>; note that the third of the three areas is already in the extension zone; <xref ref-type="bibr" rid="B71">Seidov et&#xa0;al., 2019a</xref>).</p>
<p>The circulation pattern west of the Madeira Islands shows recirculation both north and south of the Azores Current (<xref ref-type="bibr" rid="B3">Barbosa Aguiar et&#xa0;al., 2011</xref>). Thus, we constrained the study area around the Azores Current between 36&#xb0;W and 20&#xb0;W and limited the analysis to its core (between 32&#xb0;N and 36&#xb0;N, <xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>). Additionally, the Azores Current&#x2019;s dynamics and eddy energy at the surface show a zonal variation along its pathway towards the Strait of Gibraltar (<xref ref-type="bibr" rid="B3">Barbosa Aguiar et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B75">Silva-Fernandes and Peliz, 2020</xref>). East of the MAR, those authors further divided the Azores Current into three main regions according to the surface variability of eddy kinetic energy: 36&#xb0;W&#x2212;28&#xb0;W, 28&#xb0;W&#x2212;24&#xb0;W, and 24&#xb0;W&#x2212;20&#xb0;W. In this study, we followed the same partition suggested by those authors and accessed the dynamic of the Azores Current in the three sub-regions.</p>
<p>Monthly zonal and meridional velocity fields were used to calculate the absolute velocity for both Azores Current and Gulf Stream. The Azores Current and Gulf Stream cores were identified by the latitudes at each sub-region with the maximum averaged velocity in the upper 1000 m for the entire period (<xref ref-type="fig" rid="f3"><bold>Figures&#xa0;3A</bold></xref>, <xref ref-type="fig" rid="f4"><bold>4A</bold></xref>), once the higher transports for both currents occur in the upper 1000 m (<xref ref-type="bibr" rid="B40">K&#xe4;se and Siedler, 1982</xref>; <xref ref-type="bibr" rid="B59">Pelegr&#xed; and Csanady, 1991</xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>The Gulf Stream. <bold>(A)</bold> Meridional profiles of the absolute velocity averaged in the upper 1000 m for each sub-region along the Gulf Stream: western (75&#xb0;W&#x2013;65&#xb0;W, blue line), central (65&#xb0;W&#x2013;55&#xb0;W, yellow line), and eastern/extension (55&#xb0;W&#x2013;45&#xb0;W, green line) zones. The Gulf Stream cores are marked with a thicker line for each region. <bold>(B)</bold> Averaged monthly time-series of absolute velocity at the western Gulf Stream, <bold>(C)</bold> central Gulf Stream region, and <bold>(D)</bold> extension Gulf Stream region inside the core in the upper 1000 m between 1871 and 2010. Colored shadowed areas in <bold>(B</bold>&#x2013;<bold>D)</bold> represent the standard deviation. Shadow grey areas mark the periods of velocity decrease of the Gulf Stream. Absolute velocity was calculated from the monthly zonal and meridional velocity fields from SODA-POP v2.2.4 (<xref ref-type="bibr" rid="B11">Carton and Giese, 2008</xref>; <xref ref-type="bibr" rid="B30">Giese and Ray, 2011</xref>). The time-series are smoothed with a 60-months running mean.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-842251-g003.tif"/>
</fig>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>The Azores Current. <bold>(A)</bold> Average absolute velocity in the upper 1000 m along the Azores Current region (30&#xb0;N&#x2013;40&#xb0;N, 36&#xb0;W&#x2013;20&#xb0;W, Fig. 1). A thicker line represents the Azores Current core. <bold>(B)</bold> Average absolute velocity in the upper 1000 m in the region between 36&#xb0;W and 20&#xb0;W for the period 1871&#x2013;2010. Higher velocities between 32&#xb0; and 36&#xb0;N indicate the Azores Current jet. <bold>(C)</bold> Vertical variation of the mean absolute velocity averaged between the core latitudes over the entire period. <bold>(D)</bold> Time-series of the monthly absolute velocity averaged inside the Azores Current core <bold>(A)</bold> in the upper 1000 m. Shadowed area is the calculated standard deviation of the absolute velocity in the Azores Current region. <bold>(E)</bold> Time-series of the Azores Current&#x2019;s average direction in the upper 300 m (solid blue line) and at the layer 300&#x2212;1000 m (solid yellow line) between the latitudes of the Azores Current core <bold>(A)</bold>. Blue and yellow shadowed areas are the calculated standard deviation of the mean direction flow in the upper 300 m and between 300&#x2212;1000 m, respectively. The absolute velocity was calculated from the monthly zonal and meridional velocity fields from SODA-POP v2.2.4 (<xref ref-type="bibr" rid="B11">Carton and Giese, 2008</xref>; <xref ref-type="bibr" rid="B30">Giese and Ray, 2011</xref>). All time-series are smoothed using a 60-months running mean.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-842251-g004.tif"/>
</fig>
<p>To map the northern boundary of the Azores Current, we define the Azores Front latitude using the established criterion of 15&#xb0;C-isotherm coordinates at 200 m depth between 30&#xb0;W and 20&#xb0;W (<xref ref-type="bibr" rid="B31">Gould, 1985</xref>; <xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>). West of 30&#xb0;W, the Azores Front position shows higher variability, with a standard deviation of up to 2&#xb0; in latitude. Therefore, we calculated the Azores Front position between 30&#xb0;W and 20&#xb0;W, where the Azores Front variability is less than 1.5&#xb0;.</p>
<p>The integrated Ocean Heat Content (OHC) time-series in the upper 400 m was calculated following <xref ref-type="bibr" rid="B48">Levitus et&#xa0;al. (2012)</xref>. The temperature anomaly fields were obtained by subtracting the climatological temperature (the temperature averaged over the entire period from 1871 to 2010) from the SODA-POP monthly temperature data. <xref ref-type="bibr" rid="B35">H&#xe4;kkinen et&#xa0;al. (2016)</xref> showed a good agreement between the OHC calculated using the SODA-POP dataset and the OHC time-series determined by <xref ref-type="bibr" rid="B48">Levitus et&#xa0;al. (2012)</xref>.</p>
<p>To better understand the long-term variability of the Azores Current and Front, it is instrumental to find their links, if any, to the major ocean-atmosphere interaction patterns in the North Atlantic Ocean &#x2013; the North Atlantic Oscillation and the Atlantic Multidecadal Oscillation. The NAO is the dominant pattern in the North Atlantic Ocean, associated with altering the wind pattern, large-scale circulation, and water properties (<xref ref-type="bibr" rid="B85">Visbeck et&#xa0;al., 2003</xref>), affecting the upper water column even at the Mediterranean Water depths (e.g., <xref ref-type="bibr" rid="B24">Fraz&#xe3;o and Waniek, 2021</xref>). The AMO, on the other hand, is the major pattern of the sea surface temperature variability and thus provides a fundamental description of the climate pattern in the North Atlantic Ocean. Therefore, we investigated the possible connection between the Azores Front position and the most dominant climate patterns in the North Atlantic, the winter NAO and the AMO. The latter has an oscillation period of about 60&#x2013;80 years (<xref ref-type="bibr" rid="B68">Schlesinger and Ramankutty, 1994</xref>), meaning our time-series are sufficiently long to explore a possible link, if any, between AMO and the Azores Front. We used the unsmoothed detrended Atlantic Multidecadal Oscillation index (AMO) (available at <uri xlink:href="https://psl.noaa.gov/data/timeseries/AMO/">https://psl.noaa.gov/data/timeseries/AMO/</uri>) and the North Atlantic Oscillation index (retrieved from <uri xlink:href="https://climatedataguide.ucar.edu/climate-data/hurrell-north-atlantic-oscillation-nao-index-station-based">https://climatedataguide.ucar.edu/climate-data/hurrell-north-atlantic-oscillation-nao-index-station-based</uri>). The correlation coefficients between AMO, OHC, and the Azores Front position were calculated using the monthly time-series smoothed with a 60-months running mean.</p>
<sec id="s2_1">
<title>Validation of the Azores Current System in the SODA-POP Dataset</title>
<p>First, we evaluated how well the SODA-POP dataset represents the Azores Current. The surface circulation of the North Atlantic Subtropical Gyre averaged between 1871 and 2010 is depicted in <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1B</bold></xref>. As this figure attests, the SODA-POP reproduces the surface circulation in the subtropical North Atlantic quite well, with all major currents of the subtropical gyre resolved. It is known that models often misrepresent the Azores Current (e.g., <xref ref-type="bibr" rid="B55">New et&#xa0;al., 2001</xref>). Therefore, at this first step, we estimated the mean circulation in the Azores Current region (see <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1B</bold></xref>) and its transports, this time from the SODA reanalysis.</p>
<p>The average zonal velocity shows a well-defined eastward jet located between 32&#xb0; and 35&#xb0;N in the upper 1000 m comprising the Azores Current, bordered by two countercurrents south and north of the Azores Current jet (<xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>). North of the Azores Current, the Azores Countercurrent (AzCC in <xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>) appear between 36&#xb0; and 38&#xb0;N, a sub-surface intensified jet (<xref ref-type="bibr" rid="B57">Onken, 1993</xref>; <xref ref-type="bibr" rid="B13">Comas-Rodr&#xed;guez et&#xa0;al., 2011</xref>). Also, the SODA-POP velocity components were previously used to fill the gaps in the Kiel 276 mooring dataset (<xref ref-type="bibr" rid="B26">Fr&#xfc;ndt et&#xa0;al., 2013</xref>). The authors compared the SODA-POP annual zonal and meridional velocities with the Kiel 276 velocity measurements at 240 m and 500 m, and they concluded that the difference in variance between the two datasets is less than the natural variances estimated for this region (for more details, see <xref ref-type="bibr" rid="B26">Fr&#xfc;ndt et&#xa0;al., 2013</xref>). The estimated zonal transports within the Azores Current jet varied zonally, with higher transports close to the MAR (mean of 14 &#xb1; 6 Sv west of 35&#xb0;W), decreasing towards the Strait of Gibraltar (mean of 8 &#xb1; 4 Sv at 20&#xb0;W). Our estimates agree with reported values estimated using observational data &#x2013; e.g., <xref ref-type="bibr" rid="B31">Gould (1985)</xref> estimated a total volume transport of 10 to 12 Sv, <xref ref-type="bibr" rid="B1">Alves et&#xa0;al. (2002)</xref> reported transports of 11 to 18 Sv, and <xref ref-type="bibr" rid="B13">Comas-Rodr&#xed;guez et&#xa0;al. (2011)</xref> estimated a mean transport of 13.9 Sv at 24.5&#xb0;W; and also with models (<xref ref-type="bibr" rid="B60">Peliz et&#xa0;al. (2007)</xref> calculated an Azores Current transport of about 16 Sv west of 30&#xb0;W and 8 Sv east of 20&#xb0;W).</p>
<p>
<xref ref-type="bibr" rid="B27">Fr&#xfc;ndt and Waniek (2012)</xref> compared the Azores Front position at 22&#xb0;W calculated using the SODA-POP temperature fields with the Azores Front position retrieved from the observations in fourteen research cruises in the Azores region. A good agreement is found between the observed Azores Front position and the one calculated from SODA-POP, with the differences between both positions not exceeding 0.5&#xb0;, corresponding to the horizontal resolution of the SODA-POP dataset (for more details, the reader is referred to <xref ref-type="bibr" rid="B27">Fr&#xfc;ndt and Waniek (2012)</xref> and their <xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>).</p>
</sec>
</sec>
<sec id="s3">
<title>Azores Current as a Part of the Extended Gulf Stream Region</title>
<p>The Gulf Stream&#x2019;s velocity time-series averaged along the core latitudes for the upper 1000 m are shown in <xref ref-type="fig" rid="f3"><bold>Figures&#xa0;3B&#x2013;D</bold></xref>. The Gulf Stream absolute velocity for all regions demonstrates larger variability on inter-annual and decadal time scales, with the selected areas behaving quite differently (<xref ref-type="fig" rid="f3"><bold>Figures&#xa0;3B&#x2013;D</bold></xref>). Stronger variability in the Gulf Stream region occurs mainly on shorter time and spatial scales because the mesoscale activity in the western Atlantic sector is stronger than in the eastern Atlantic sector (<xref ref-type="bibr" rid="B44">Le Traon, 1991</xref>; <xref ref-type="bibr" rid="B29">Gar&#xe7;on et&#xa0;al., 2001</xref>). Also, the Gulf Stream jet is marked by strong mesoscale activity and the meanders intensifying towards the Gulf Stream extension region.</p>
<p>Periods of Gulf Stream intensification (1920&#x2212;1930, the 1950s, 1980&#x2212;2000) and weakening (end of the 1930s and beginning of the 1940s, 1960&#x2212;1970, and after 2000) are similar in all three regions, although the intensity of strengthening and weakening varied (<xref ref-type="fig" rid="f3"><bold>Figures&#xa0;3B&#x2013;D</bold></xref>). The most pronounced Gulf Stream weakening episodes occurred between the 1960s and 1970s (accounting for 10% across the Gulf Stream pathway) and after 2000 in all sub-regions (<xref ref-type="fig" rid="f3"><bold>Figures&#xa0;3B&#x2013;D</bold></xref>). During the 1980s and 1990s, the velocity increased in both the Gulf Stream&#x2019;s central and extension zone and simultaneously decreased in the western zone. Nevertheless, overall Gulf Stream weakening was observed in all sub-regions after the 1990s, agreeing with the most recent literature (e.g., <xref ref-type="bibr" rid="B19">Ezer, 2015</xref>; <xref ref-type="bibr" rid="B18">Dong et&#xa0;al., 2019</xref>).</p>
</sec>
<sec id="s4">
<title>Weakening of the Azores Current</title>
<p>The mean flow of the Azores Current showed a well-defined jet before the mid-1960s, with a maximum velocity at 34&#xb0;N (<xref ref-type="fig" rid="f2"><bold>Figures&#xa0;2</bold></xref>, <xref ref-type="fig" rid="f4"><bold>4B</bold></xref>). At the end of the 1960s, however, the Azores Current experienced a drastic change, with a decrease in the jet&#x2019;s velocity, and its axis moved roughly 0.5&#xb0; northward (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4B</bold></xref>). In the current&#x2019;s core, the Azores Current velocity exceeds 0.10 m s<sup>-1</sup> at the surface, with a sub-surface maximum of up to 0.11 m s<sup>-1</sup> at 15 m, and the vertically averaged velocity reaches 0.04 m s<sup>-1</sup> (<xref ref-type="fig" rid="f4"><bold>Figures&#xa0;4C, D</bold></xref>).</p>
<p>Over the last century, the Azores Current was in its stronger state between 1890 and 1960. Then, in the late 1960s, the velocity began decreasing in the upper 500 m, and by 1969 the core with the higher velocities raised from 300 m to 200 m, coinciding with&#xa0;the northward migration of the Azores Current jet (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4C</bold></xref>). The time-averaged direction of the flow in the Azores Current&#x2019;s core is predominantly southeast (142&#xb0;) in the upper 300 m and directed to the south below (172&#xb0;). Concurrently with the velocity decrease, the flow&#x2019;s direction in the upper 300 m turned from 136&#xb0; to 154&#xb0; after the 1960s (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4E</bold></xref>). A change in the flow&#x2019;s direction in the upper thermocline (at 240 m and 500 m) was also observed by <xref ref-type="bibr" rid="B26">Fr&#xfc;ndt et&#xa0;al. (2013)</xref> at the Kiel 276 site, where the authors reported a divergent flow between the two depth levels after 2000. They suggested that a northward displacement of the North Atlantic Subtropical Gyre could result in an altered current regime. However, here we found that the altered current regime started before during the 1960s, and it affected the upper 600 m of the Azores Current&#x2019;s core.</p>
<p>The vertically-averaged velocity inside the Azores Current core in the upper 1000 m varies on interannual and inter-decadal scales (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4D</bold></xref>). Variations on the annual scale were insignificant and therefore are not shown. The Azores Current velocity time-series is marked by two periods of weakening: the most pronounced decrease started in 1962 and continued until 1983, and a shorter event occurred between 2000 and 2005. Although the current speed increased slightly in the 1980s and 1990s, and afterward, at the end of the time-series, the Azores Current never returned to its pre-1960s state (<xref ref-type="fig" rid="f4"><bold>Figures&#xa0;4B&#x2013;D</bold></xref>). The acceleration of the Azores Current after the 1980s, and also in the second half of the 2000s, is confirmed by the current measurements taken close to the Azores Current jet, at the Kiel 276 mooring (33&#xb0;N, 22&#xb0;W) between 1980 and 2009, where almost daily continuous observations showed an increase in the current speed in the upper 1000 m from the 1980s to 2000s (<xref ref-type="bibr" rid="B73">Siedler et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B26">Fr&#xfc;ndt et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B23">Fraz&#xe3;o et&#xa0;al., 2021</xref>). At this site, according to the authors, the velocity noticeably increased on a decadal scale, especially in the transition from the 1980s to the 1990s. From the end of the 1990s until 2004, a decrease in the velocity in the upper thermocline (upper 500 m) was observed, followed by a significant increase until 2009 (<xref ref-type="bibr" rid="B26">Fr&#xfc;ndt et&#xa0;al., 2013</xref>). Mean current speeds averaged over 1000 m prior to and after 1960 are 0.03 m s<sup>-1</sup> and 0.02 m s<sup>-1</sup> (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4D</bold></xref>), respectively, resulting in a substantial Azores Current reduction of 24% after the 1960s.</p>
<p>Interannual variability of the Azores Current has been shown to be only mildly impacted by the wind (<xref ref-type="bibr" rid="B86">Volkov and Fu, 2010</xref>). Calculation of the correlation between the winter NAO and the intensity of the Azores Current did not result in a significant correlation that could explain the interannual variability of the Azores Current. However, for timescales over 20 years or longer, the correlation between the winter NAO and the annual Azores Current velocity is significant and positive and has a maximum for the NAO leading the Azores Current velocity by 41 years (<italic>&#x3c1;</italic> = 0.45, <italic>p</italic> &lt; 0.05; not shown). Similarly, <xref ref-type="bibr" rid="B22">Ezer and Dangendorf (2022)</xref> calculated positive correlation coefficients on multi-decadal timescales and long-term trends between the sea level and the NAO in the Azores Current region.</p>
<p>The three regions of Azores Current are highly correlated (<italic>&#x3c1;</italic> &gt; 0.8, <italic>p</italic> &lt; 0.05), and the average velocity at the core increase towards the MAR (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>), a result consistent with other observations and models (e.g., <xref ref-type="bibr" rid="B60">Peliz et&#xa0;al., 2007</xref>). The correlation between the sub-regions along the Azores Current time-series has a maximum with a lag of three months between them, with the easternmost region leading the western. The increase of the Azores Current&#x2019;s velocity at the beginning of the time-series starts earlier in the easternmost region (1875), and it is followed by the central and then western regions until 1893. In the following period up to 1962, the three areas behave similarly. The drastic weakening along the Azores Current pathway occurred almost synchronously in the western and central zones (starting in 1962), while the changes in the easternmost area lagged the other two by about one year. In the 1960s, the strong decline of the average velocity at the core occurred in the western region close to the MAR (accounting for up 19%), while in the central and eastern zones, the decrease of the average velocity at the core accounted for 15% (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>The Azores Current sub-regions. Monthly absolute velocity averaged inside the core of the Azores Current (between 32&#xb0; and 36&#xb0;N) in the upper 1000 m between 1871 and 2010. The Azores Current is divided into three sub-regions according to the eddy kinetic energy dynamic at the surface (<xref ref-type="bibr" rid="B3">Barbosa Aguiar et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B75">Silva-Fernandes and Peliz, 2020</xref>): western (36&#xb0;W&#x2013;28&#xb0;W, yellow line), central (28&#xb0;W&#x2013;24&#xb0;W, orange line), and eastern (24&#xb0;W&#x2013;20&#xb0;W, blue line). All time-series are smoothed with a 60-months running mean.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-842251-g005.tif"/>
</fig>
<p>Comparing the Gulf Stream and Azores Current velocity series reveals a striking similarity between the periods of weakening (during the 1960s and after 2000) and strengthening (during the 1980s and 1990s, <xref ref-type="fig" rid="f3"><bold>Figures&#xa0;3B&#x2013;D</bold></xref>, <xref ref-type="fig" rid="f4"><bold>4D</bold></xref>). The correlations between the Gulf Stream (<xref ref-type="fig" rid="f3"><bold>Figures&#xa0;3B&#x2013;D</bold></xref>) and the Azores Current absolute velocity (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4D</bold></xref>) show a striking negative value (significant at <italic>p</italic> &lt; 0.05). The highest negative correlations are found between the Azores Current and the central and eastern Gulf Stream time-series (<italic>&#x3c1;</italic> &gt; &#x2013;0.5), while between the western Gulf Stream and Azores Current, the correlation is weak yet still negative (<italic>&#x3c1;</italic> = &#x2013;0.1). The latter weaker correlation is possibly due to the different driving mechanisms that control both currents &#x2013; while the western flank of the Gulf Stream (west of 65&#xb0;W) is constrained by the shelf (shallower than 200 m), the central and eastern flanks are not topography-constrained and behave as a free jet (<xref ref-type="bibr" rid="B18">Dong et&#xa0;al., 2019</xref>), similarly to the Azores Current.</p>
<p>Interesting to note is the change of the correlation signal throughout the last century. Before the drastic weakening of the Azores Current in the 1960s, the correlation coefficient between the Azores Current and all regions of the Gulf Stream is significant and negative. The opposite situation is observed after the 1960s, with the correlation coefficients between both currents reversing to a positive value. However, the correlation between the two currents had almost ceased after 2000 (it is not yet clear to us what caused this sudden drop in correlation).</p>
</sec>
<sec id="s5">
<title>Azores Front</title>
<p>The Azores Front position shows large inter-annual and decadal variability; however, it does not have a significant seasonality (not shown in <xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>). The Azores Front position shows slight variation around the mean before the 2000s (34.9&#xb0;N &#xb1; 0.5&#xb0;), with periods of southward (1880&#x2013;1925, 1935&#x2013;1948, 1957&#x2013;1974, 2006&#x2013;2010) and northward (1871&#x2013;1880, 1926&#x2013;1934, 1975&#x2013;2005) migration (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>). Notably, the progressive northward Azores Front migration starting in the mid-1970s and continuing until 2005, at an estimated rate of &#x2248; 12 m day<sup>-1</sup>, is twice as high as estimated by <xref ref-type="bibr" rid="B27">Fr&#xfc;ndt and Waniek (2012)</xref> at 22&#xb0;W for the period 1966&#x2013;2007.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>The Azores Front. <bold>(A)</bold> Monthly detrended Azores Front position (solid dark blue line) superimposed on the Atlantic Multidecadal Oscillation index (shadowed areas: positive phase in red; negative phase in blue). <bold>(B)</bold> Monthly Azores Front position (solid dark blue line) and integrated OHC in the upper 400 m (solid green line; details on the OHC calculation are given in Data and Methods). The Azores Front position is an average of all the Azores Front positions between 30&#xb0;W and 20&#xb0;W. The monthly detrended time-series was calculated by removing the linear trend for the entire period. All time-series are smoothed with a 60-months running mean.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-842251-g006.tif"/>
</fig>
<p>North and south of the Azores Current, the meridional Ekman transport forms a convergence zone within which the Azores Front lies (<xref ref-type="bibr" rid="B27">Fr&#xfc;ndt and Waniek, 2012</xref>). Changes in the wind direction impact the position of the convergence zone, which ultimately alters the Azores Front position. The correlation between the winter NAO index and the annual mean Azores Front position was not significant at any confidence level (and therefore is not shown). This result is similar to the findings in <xref ref-type="bibr" rid="B71">Seidov et&#xa0;al. (2019a)</xref>, where they did not find a significant correlation between the Gulf Stream thermal front and NAO. Although some authors already showed the NAO impact on the Azores Front position, with the Azores Front lagging NAO from months to years (<xref ref-type="bibr" rid="B87">Volkov and Fu, 2011</xref>; <xref ref-type="bibr" rid="B27">Fr&#xfc;ndt and Waniek, 2012</xref>), NAO does not seem to be the main driver of the Azores Front variability for the period 1871&#x2013;2010, as it was not the main driver of the Gulf Stream position either on the decadal and longer time scale (<xref ref-type="bibr" rid="B70">Seidov et&#xa0;al., 2017a</xref>). There may be several reasons why we did not find a significant correlation between the NAO and the Azores Front position. First, the different definitions used to determine the Azores Front position, either using eddy kinetic energy at the surface (<xref ref-type="bibr" rid="B87">Volkov and Fu, 2011</xref>), the temperature at 250 m (<xref ref-type="bibr" rid="B27">Fr&#xfc;ndt and Waniek, 2012</xref>) or 200 m in this study. Second, NAO effects seen in Azores Front are expected to be lagging at 200 m and stronger at the surface due to the adjustment of the water column to atmospheric forcing (<xref ref-type="bibr" rid="B85">Visbeck et&#xa0;al., 2003</xref>). Finally, even though <xref ref-type="bibr" rid="B27">Fr&#xfc;ndt and Waniek (2012)</xref> and <xref ref-type="bibr" rid="B87">Volkov and Fu (2011)</xref> determined significant correlations for shorter periods, <xref ref-type="bibr" rid="B27">Fr&#xfc;ndt and Waniek (2012)</xref> noticed that the correlation between NAO and Azores Front at 22&#xb0;W changed after 2003. Moreover, <xref ref-type="bibr" rid="B90">Williams et&#xa0;al. (2000)</xref> found that the correlation between NAO and nutrient supply in the eastern Atlantic is not significant, in contrast to the western and central Atlantic basin between 1968 and 1993.</p>
<p>The Azores Front position, together with the AMO and the OHC in the upper 400 m, are presented in <xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>. The Azores Front position shows similar behavior as the AMO (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6A</bold></xref>), but the similarity between the Azores Front position and OHC is even more striking (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6B</bold></xref>). Periods of increase (decrease) in OHC are consistent with a northward (southward) propagation of the Azores Front (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6B</bold></xref>). The correlation coefficient between Azores Front and AMO is 0.69, and between Azores Front and OHC is 0.92, both at 0-lag and significant at the 95% confidence level. The correlation coefficient between the AMO and the Azores Front position is maximum at 0.7, with the AMO leading the Azores Front position by 13 months. The Azores Front definition used partly implies the high correlation between Azores Front and AMO and OHC as this delimits the extension of warmer subtropical waters and mirrors the thermal conditions of the upper water column in this part of the Northeast Atlantic.</p>
</sec>
<sec id="s6" sec-type="discussion">
<title>Discussion and Implications</title>
<p>The use of assimilation products, like the one in this study, helps to analyze the basin-scale ocean circulation in general, and in our case &#x2013; with a special focus on the northern border of the North Atlantic subtropical gyre. Our analysis so far points to the close though time-lagged connection between the Gulf Stream climatology and dynamics and the Azores Current behavior &#x2212; an extension of the Gulf Stream in the Northeast Atlantic. We found that the Azores Current responds to the changes in all three sections of the Gulf Stream, with the signal of weakening or strengthening of the Gulf Stream traveling toward the Azores Current within two years, most likely driven by the observed decline in the central and extension parts of the Gulf Stream current. Indeed, the Azores Current weakening in the 1960s and 1970s (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4D</bold></xref>) was observed two years after the weakening of the Gulf Stream started (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>).</p>    <p>While no sufficient data is available for the North Atlantic before the 1980s, there were some attempts to reconstruct the circulation using hydrographic data. For example, <xref ref-type="bibr" rid="B32">Greatbatch et&#xa0;al. (1991)</xref>, using a diagnostic model, showed that the Gulf Stream transport was reduced by 30% in the early 1970s compared to the mid-1950s, and <xref ref-type="bibr" rid="B21">Ezer and Dangendorf (2020)</xref> employed a global reconstruction of the sea level and discovered similar weakening in the 1960s and 1970s. <xref ref-type="bibr" rid="B21">Levitus (1989a)</xref> hypothesized that this weakening might be due to density changes in the subsurface of the North Atlantic. Our analysis follows this line of argument. The most recent weakening in the Gulf Stream region and Azores Current (after 2000) also allegedly links to a new slowdown of the AMOC (<xref ref-type="bibr" rid="B8">Bryden et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B9">Caesar et&#xa0;al., 2021</xref>). <xref ref-type="bibr" rid="B19">Ezer (2015)</xref> and <xref ref-type="bibr" rid="B21">Ezer and Dangendorf (2020)</xref> suggested that AMOC weakening might be linked to the Gulf Stream slowdown both in the 1960s/1970s and late 2000s. Possibly, slowing down of the AMOC, which may relate, at least partially, to reduced Gulf Stream transports east of the U.S. coast, leads to a delayed weakening of the Azores Current in the eastern North Atlantic. However, different views of the variability in the Gulf Stream transport arose in the last decade, where some authors advocate that the Gulf Stream transport is not declining (e.g., <xref ref-type="bibr" rid="B67">Rossby et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B66">Rossby et&#xa0;al., 2019</xref>) and neither is the AMOC (e.g., <xref ref-type="bibr" rid="B91">Willis, 2010</xref>; <xref ref-type="bibr" rid="B53">Moat et&#xa0;al., 2020</xref>). For example, Rossby et&#xa0;al. (<xref ref-type="bibr" rid="B67">2014</xref>, <xref ref-type="bibr" rid="B66">2019)</xref> did not detect a long-term change in the Gulf Stream along the Oleander line. Nonetheless, as pointed out by <xref ref-type="bibr" rid="B19">Ezer (2015)</xref>, the part of the Gulf Stream in the Oleander line (near 70.3&#xb0;W) does not correlate with the AMOC nor the Florida Current due to the eddies and meandering of the Gulf Stream. The AMOC transports calculated at 26&#xb0;N with the SODA-POP dataset are close to the observational AMOC transports, with an increasing trend in the AMOC transports since the 1960s (<xref ref-type="bibr" rid="B83">Tett et&#xa0;al., 2014</xref>). Additionally, AMOC transports estimated at mid- and higher latitudes show larger interannual variability, with alternating periods of stronger and weaker AMOC (e.g., <xref ref-type="bibr" rid="B8">Bryden et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B91">Willis, 2010</xref>; <xref ref-type="bibr" rid="B53">Moat et&#xa0;al., 2020</xref>). As noted by <xref ref-type="bibr" rid="B53">Moat et&#xa0;al. (2020)</xref>, it is still difficult to assess with certainty whether the AMOC is recovering or not, partly due to the short time-series of continuous measurements.</p>
<p>The regional differences in the Gulf Stream velocity may possibly be attributed to the behavior of the Gulf Stream jet at its different parts. For example, southwest of Cape Hatteras, the jet is strongly controlled by bottom topography, while east of Cape Hatteras, where the Gulf Stream separates from the continental shelf and slope, the flow becomes a free baroclinic jet not constrained by topography (<xref ref-type="bibr" rid="B18">Dong et&#xa0;al., 2019</xref>). Different trends were also found between the eastern and western parts of the Gulf Stream between 1993 and 2016 (e.g., <xref ref-type="bibr" rid="B2">Andres et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B95">Zhang et&#xa0;al., 2020</xref>), reinforcing the zonal behavior between the extension and the western zone of the Gulf Stream. Additionally, the presence of cold and warm recirculation gyres north and south of the Gulf Stream, respectively, has been shown to influence the position of the Gulf Stream jet (e.g., <xref ref-type="bibr" rid="B51">Marchese, 1999</xref>).</p>
<p>The baroclinic instability along the Azores Current jet leads to the formation of large mesoscale anticyclonic structures north and cyclonic eddies south of the jet, with diameters on the order of 200 km and timespans of 40 to 100 days (<xref ref-type="bibr" rid="B54">M&#xfc;ller and Siedler, 1992</xref>; <xref ref-type="bibr" rid="B1">Alves et&#xa0;al., 2002</xref>). The three-month lag between the Azores Current sub-regions is of the same order as the relevant timescales associated with the meandering of the Azores Front-Current system (<xref ref-type="bibr" rid="B74">Siedler et&#xa0;al., 1985</xref>; <xref ref-type="bibr" rid="B54">M&#xfc;ller and Siedler, 1992</xref>). In fact, <xref ref-type="bibr" rid="B75">Silva-Fernandes and Peliz (2020)</xref> determined the number of eddies in the last 25 years in the Azores Current region. They showed that most of the eddies expected to be associated with the Azores Current have a lifetime of 16 weeks, 54% of these were cyclonic, i.e., propagating westward. Those cyclonic eddies were shown to propagate westward with a combination of Rossby waves and advective flow characteristics (<xref ref-type="bibr" rid="B61">Pingree and Sinha, 2001</xref>).</p>
<p>Our interpretation of the results in <xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref> is inherently incomplete as we cannot offer a satisfying conclusion on how the variability evident in the time-series can be explained fully and through which processes it may be forced and maintained. Indeed, the speed maxima in different segments of the Azores Current are not synchronized universally throughout the entire time of the analyzed record. Sometimes they are synchronized, sometimes obviously and even strikingly desynchronized, and being anything between these two extremes during other time intervals. Nevertheless, we provide this result to encourage a discussion that may shed a better light than what we can currently offer in our analysis.</p>
<p>The 1960s seem to be a turning point for changes in the North Atlantic circulation and water properties from the 1950s to the 1970s, as reported in a number of studies (e.g., <xref ref-type="bibr" rid="B46">Levitus, 1989a</xref>; <xref ref-type="bibr" rid="B47">Levitus, 1989b</xref>; <xref ref-type="bibr" rid="B32">Greatbatch et&#xa0;al., 1991</xref>; <xref ref-type="bibr" rid="B33">Grey et&#xa0;al., 2000</xref>; <xref ref-type="bibr" rid="B63">Reverdin, 2010</xref>; <xref ref-type="bibr" rid="B93">Yeager and Danabasoglu, 2014</xref>). During this period, we found a northward displacement of the Azores Current&#x2019;s jet by 0.5&#xb0; starting in the late 1960s (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4B</bold></xref>), a change in the signal of the correlation coefficient between the Azores Current and the Gulf Stream in the 1960s, and gradual poleward migration of the Azores Front starting in the 1970s. We offer a working hypothesis that the existence of two transient periods, before and after the 1960s, was driven by some mechanisms that were variable in time. That is, before the 1960s, the wind had a preponderant role in the North Atlantic circulation, namely over the Gulf Stream, North Atlantic Current, and Azores Current, with the signal between the North Atlantic Current and the Gulf Stream better correlated than with the Azores Current. However, after roughly the 1960s, the ongoing surface warming began (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>), and the Gulf Stream became stronger influenced by increasing density differences between the warm and cold recirculation gyres, south and north of the Gulf Stream jet, respectively. By that time, the correlation between the Gulf Stream path (and possibly the Gulf Stream strength) with the zero line of the wind stress curl reduced and, in contrast, increased with the AMO (<xref ref-type="bibr" rid="B56">Nigam et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B71">Seidov et&#xa0;al., 2019a</xref>). After the onset of surface warming, the OHC began to rise, controlled by a combination of the surface warming and the circulation pattern, and started to play a more critical role, leading to a stronger correlation between the AMO and OHC and the Azores Current and the Gulf Stream. The largest increase of OHC was observed in the North Atlantic in the upper 2000 m (<xref ref-type="bibr" rid="B48">Levitus et&#xa0;al., 2012</xref>) and is concentrated in the warm recirculation gyre of the Gulf Stream (<xref ref-type="bibr" rid="B70">Seidov et&#xa0;al., 2017</xref>). After 2000, the OHC pool south of the Gulf Stream increased very quickly, and therefore, the Gulf Stream path deviated northward quite strongly. At that time, the largest weakening of AMOC was reported (e.g., <xref ref-type="bibr" rid="B19">Ezer, 2015</xref>; <xref ref-type="bibr" rid="B9">Caesar et&#xa0;al., 2021</xref>). As a result, the subpolar gyre strengthened (<xref ref-type="bibr" rid="B94">Zhang, 2008</xref>), accompanied by a coincident weakening of the Gulf Stream and Azores Current. It seems that the dipole observed by <xref ref-type="bibr" rid="B94">Zhang (2008)</xref>, where a stronger (weaker) AMOC induces a weaker (stronger) subpolar gyre, can also be viewed as a seesaw in the Gulf Stream changes signal between the North Atlantic Current and the Azores Current, depending on the Gulf Stream behavior in the bifurcation zone between the two major current systems in the North Atlantic Ocean. However, this hypothesis is very difficult to verify, so we provide our explanation for a discussion rather than a definitive conclusion. Perhaps the best way to prove or disprove the relative role of surface warming and its consequences and the wind stress over the North Atlantic would be through numerical hindcast experiments that could compare the Gulf Stream and the Azores Current connection with and without the 20th-century surface warming. Nevertheless, this hypothesis is far beyond the scope of our research and requires further investigation.</p>
<p>Global and regional models often misrepresent the Azores Current, e.g., <xref ref-type="bibr" rid="B55">New et&#xa0;al. (2001)</xref>, because of the difficulties of adequately resolving the Mediterranean Outflow, especially close to the Gulf of Cadiz (<xref ref-type="bibr" rid="B36">Jia, 2000</xref>). The difficulty in properly represent the Azores Current might be one of the reasons why its role in decadal and longer-term variability of the North Atlantic large-scale circulation was underestimated and, therefore, did not attract much attention. Recently, <xref ref-type="bibr" rid="B36">Jia (2000)</xref>; <xref ref-type="bibr" rid="B58">&#xd6;zg&#xf6;kmen et&#xa0;al. (2001)</xref>, and <xref ref-type="bibr" rid="B42">Kida et&#xa0;al. (2008)</xref> proposed that the effect of water mass exchange in the Gulf of Cadiz between the Atlantic Central Water and the Mediterranean Outflow (known as the <italic>&#x3b2;</italic>-plume mechanism) could impact the upper-ocean circulation. In particular, it may lead to a cyclonic recirculation consisting of the Azores Current and the Azores Countercurrent in the north. However, this hypothesis does not explain some observational characteristics of the Azores Current, namely the intensity of the jet and the higher transports west of the Azores islands far from the Gulf of Cadiz (source region). Although the temporal and spatial distribution of MOW in the Northeast Atlantic varies through time (<xref ref-type="bibr" rid="B7">Bozec et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B24">Fraz&#xe3;o and Waniek, 2021</xref>) and ultimately could influence the Azores Current positioning, it is not yet conclusive, and addressing this issue may require further research.</p>
<p>The northward propagation of the Azores Front position from the 1970s until the mid-2000 is similar to the finding that the variations of the Gulf Stream position correlate with AMO and OHC but not with NAO (<xref ref-type="bibr" rid="B70">Seidov et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B71">Seidov et&#xa0;al., 2019a</xref>). Several publications have shown that the sea surface path of the Gulf Stream correlates with the NAO (e.g., <xref ref-type="bibr" rid="B38">Joyce et&#xa0;al., 2000</xref>; <xref ref-type="bibr" rid="B28">Gangopadhyay et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B89">Watelet et&#xa0;al., 2017</xref>), and we do not dispute those findings. However, <xref ref-type="bibr" rid="B71">Seidov et&#xa0;al. (2019a)</xref> indicate that the observed Gulf Stream North Wall (GSNW) position west of 50&#xb0;W is very resilient and is only mildly impacted by the overall North Atlantic atmospheric variability. Even at the extension zone, i.e., east of 50&#xb0;W, where the Gulf Stream branches into the North Atlantic Current and the Azores Current, the correlation with the NAO is not significant. Instead, they showed that the strongest correlation of the GSNW position east of 50&#xb0;W is between the AMO and ocean heat content on decadal and longer time scales. A detailed discussion of the weaker dependence of the Gulf Stream path on NAO compared with AMO and OHC can be found in <xref ref-type="bibr" rid="B71">Seidov et&#xa0;al. (2019a)</xref>. Notwithstanding, other authors also found a strong correlation between the Gulf Stream northward excursion and the AMO index (e.g., <xref ref-type="bibr" rid="B56">Nigam et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B21">Ezer and Dangendorf, 2020</xref>). Therefore, it can be argued that a gradual change in the AMO and the OHC over the upper 400 m in the 1970s (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>) coincided with the poleward displacement of the Azores Front and also the Gulf Stream path, both defined <italic>via</italic> a temperature index (<xref ref-type="bibr" rid="B71">Seidov et&#xa0;al., 2019a</xref>). Although both AMO and OHC are highly coherent (<italic>&#x3c1;</italic> = 0.77, <italic>p</italic> &lt; 0.05), as pointed out by <xref ref-type="bibr" rid="B70">Seidov et&#xa0;al. (2017)</xref> for the North Atlantic basin, they are not linearly connected because the OHC depends on both thermal conditions at the surface (hence AMO) and the Ekman pumping (<xref ref-type="bibr" rid="B72">Seidov et&#xa0;al., 2019b</xref>). Thus, since OHC depends on both the sea surface temperature and the wind stress curl, there is a better correlation between the OHC and the current&#x2019;s dynamics (<xref ref-type="bibr" rid="B71">Seidov et&#xa0;al., 2019a</xref>).</p>
<p>The poleward migration of the Azores Front, as the border separating the waters with higher biological productivity in the north from the waters with lower productivity in the south, is coherent with an expansion of the oligotrophic areas of the main gyres (<xref ref-type="bibr" rid="B62">Polovina et&#xa0;al., 2008</xref>). Additionally, the Azores Front movements have been shown to influence not only the primary production in the region but also affect the export production in the Northeast Atlantic (e.g., <xref ref-type="bibr" rid="B88">Waniek et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B27">Fr&#xfc;ndt and Waniek, 2012</xref>; <xref ref-type="bibr" rid="B25">Fr&#xfc;ndt et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B79">Stern et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B80">Stern et&#xa0;al., 2019</xref>). Marine productivity decline in the oligotrophic regions since the 1990s (<xref ref-type="bibr" rid="B5">Boyce et&#xa0;al., 2010</xref>) is associated with rising sea surface temperature (<xref ref-type="bibr" rid="B4">Behrenfeld et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B52">Martinez et&#xa0;al., 2009</xref>). It is projected to further decline by up to 20% by the end of the 21st century (<xref ref-type="bibr" rid="B78">Steinacher et&#xa0;al., 2010</xref>). In a first attempt, <xref ref-type="bibr" rid="B25">Fr&#xfc;ndt et&#xa0;al. (2015)</xref> estimated a 700 megaton reduction of carbon uptake over the North Atlantic subtropical region between 1871 and 2008. Nevertheless, the understanding of the future impact of a northward expansion of the subtropical gyre on the biogeochemical cycles in this region requires further investigation.</p>
<p>The northward propagation of both the Azores Current jet and the Azores Front after the 1970s poses the question of whether the subtropical gyre is moving northward as an entity or the subtropical gyre is simply expanding. Answering this question is critical for understanding the subtropical gyre dynamics as a competitor to AMOC internal variability. Northward migration of the entire subtropical gyre would have forced the relocation of the main surface currents, leading to drastic changes in the basin-wide circulation. In connection with this problem, several studies have been exploring the size and intensity of the North Atlantic subpolar gyre (<xref ref-type="bibr" rid="B42">Koul et&#xa0;al., 2020</xref>). Depending on the employed methodology, some authors have shown a decline in size and strength (e.g., <xref ref-type="bibr" rid="B34">H&#xe4;kkinen and Rhines, 2004</xref>), while others did not find any significant change (e.g., <xref ref-type="bibr" rid="B15">Daniault et&#xa0;al., 2011</xref>). Unfortunately, the time-series in these studies are too short to conclude with greater certainty whether a northward shift of the northern limit of the subtropical gyre does lead to a shrinkage of the subpolar gyre. <xref ref-type="bibr" rid="B92">Yang et&#xa0;al. (2020)</xref>, using observational data analysis and numerical modeling, showed a poleward shift of the main ocean gyres. They argue that such a poleward shift was likely caused by global warming in the last four decades, coupled with a displacement of the extratropical atmospheric circulation.</p>
<p>Regardless of the overall change in the size or the northward propagation of the northern border only, we are now confident that the Atlantic Meridional Overturning Circulation, Gulf Stream, and Azores Current slowdown are tightly connected and are the parts of a larger picture of the North Atlantic circulation variability on the decadal and longer time scale. The bottom line here is that we confidently show that the changes in large-scale circulation reflected in the Gulf Stream and AMOC weakening/strengthening pattern are detectable in the low energy region of the northeastern Atlantic, embracing the biogeochemically very important regions of the Azores Current and its thermohaline front.</p>
</sec>
<sec id="s7" 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="s8" sec-type="author-contributions">
<title>Author Contributions</title>
<p>Conceptualization: HCF and JJW; Methodology: HCF and JJW; Visualization: HCF and RDP; Funding acquisition: JJW and DES-B; Supervision: JJW and DS; Writing &#x2013; original draft: HCF; Writing &#x2013; review and editing: HCF, RDP, DES-B, DS, and JJW. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s9" sec-type="funding-information">
<title>Funding</title>
<p>This work was funded by the German Research Foundation grant, WA 2175/5-1 (J.J.W.), and by the Leibniz Institute for Baltic Sea Research Warnem&#xfc;nde (DES-B, RDP, HCF).</p>
</sec>
<sec id="s10" 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="s11" 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>
</body>
<back>
<ack>
<title>Acknowledgments</title>
<p>We thank the three reviewers for their valuable comments to improve the manuscript.</p>
</ack>
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