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<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
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<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
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<issn pub-type="epub">2296-7745</issn>
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<article-id pub-id-type="doi">10.3389/fmars.2025.1648949</article-id>
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<subj-group subj-group-type="heading">
<subject>Original Research</subject>
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</article-categories>
<title-group>
<article-title>Deep cyclones in the southeast Gulf of Mexico</article-title>
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<name><surname>Safaie</surname><given-names>Aryan</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>*</sup></xref>
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<xref ref-type="author-notes" rid="fn003"><sup>&#x2020;</sup></xref>
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<name><surname>Rowley</surname><given-names>Clark D.</given-names></name>
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<name><surname>Watts</surname><given-names>D. Randolph</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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<aff id="aff1"><label>1</label><institution>Graduate School of Oceanography, University of Rhode Island</institution>, <city>Narragansett</city>, <state>RI</state>,&#xa0;<country country="us">United States</country></aff>
<aff id="aff2"><label>2</label><institution>Ocean Sciences Division, Naval Research Laboratory, Stennis Space Center</institution>, <city>MS</city>,&#xa0;<country country="us">United States</country></aff>
<author-notes>
<corresp id="c001"><label>*</label>Correspondence: D. Randolph Watts, <email xlink:href="mailto:randywatts@uri.edu">randywatts@uri.edu</email>; Kathleen A. Donohue, <email xlink:href="mailto:kdonohue@uri.edu">kdonohue@uri.edu</email>; Aryan Safaie, <email xlink:href="mailto:aryansafaie@uri.edu">aryansafaie@uri.edu</email></corresp>
<fn fn-type="equal" id="fn003">
<label>&#x2020;</label>
<p>These authors have contributed equally to this work</p></fn>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-09-29">
<day>29</day>
<month>09</month>
<year>2025</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1648949</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>29</day>
<month>08</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Safaie, Donohue, Rowley, Thoppil and Watts.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Safaie, Donohue, Rowley, Thoppil and Watts</copyright-holder>
<license>
<ali:license_ref start_date="2025-09-29">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. 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.</license-p>
</license>
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<abstract>
<p>In the Gulf of Mexico (GoM), as the warm Loop Current (LC) extends into the southeastern Gulf, strong deep eddies are energized through LC interaction with topography and baroclinic instability. A 6-year free-running numerical simulation using a regional configuration of the Navy Coastal Ocean Model (NCOM) shows the importance of deep cyclones to Loop Current Eddy (LCE) formation, particularly in the deep region south of 25&#xb0;N, circumscribed by the Yucat&#xe1;n Strait to the south and the steep lateral sidewalls of the Campeche Bank and the Florida Shelf to the west and east, respectively. Four eddy shedding events from this simulation illustrate ways that deep cyclones develop and strengthen jointly from baroclinic development as well as from lower-layer stretching when the LC moves away from the channel sidewalls. In all cases, the deep cyclone plays a key role: one event depicts the classic baroclinic joint-development process; two events demonstrate the influence of the steep bathymetry along the Campeche Bank and Florida Shelf in restricting lateral propagation; the fourth event emphasizes the role of a deep cyclone in preventing reattachment of a detached eddy. As deep cyclones are important in determining LCE separation, we advocate for more observation and modeling attention on the dynamics of the deep southeast channel.</p>
</abstract>
<kwd-group>
<kwd>Gulf of Mexico</kwd>
<kwd>Loop Current</kwd>
<kwd>cyclones</kwd>
<kwd>NCOM</kwd>
<kwd>UGOS</kwd>
<kwd>vertical stretching</kwd>
<kwd>Loop Current eddies</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declare financial support was received for the research and/or publication of this article. We gratefully acknowledge funding from the US National Academy of Science, Engineering, and Medicine (NASEM) under their Gulf Research Program, UGOS grants, 2000009943, and 200013145. We also gratefully acknowledge funding from the US Naval Research Laboratory &#x2013; Stennis Space Center via Office of Naval Research Cooperative Agreement N00173-22-2-C005.</funding-statement>
</funding-group>
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<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Physical Oceanography</meta-value>
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</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Throughout the Gulf of Mexico (GoM), the Loop Current (LC) drives essentially all mesoscale oceanographic variability (<xref ref-type="bibr" rid="B29">Lugo-Fern&#xe1;ndez et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B16">Hamilton et&#xa0;al., 2016</xref>). The LC enters the GoM through the Yucat&#xe1;n Strait from the Caribbean Sea as a warm and salty jet (<xref ref-type="bibr" rid="B45">Sturges and Leben, 2000</xref>), and on irregular intervals of approximately 3&#x2013;18 months, it pinches off an anticyclonic Loop Current Eddy (LCE) that moves separately to the north and west (<xref ref-type="bibr" rid="B24">Leben, 2005</xref>). The LC and LCEs carry strong currents that can be particularly disruptive to offshore marine operations along the northern Gulf (<xref ref-type="bibr" rid="B23">Kantha, 2014</xref>), and additionally, if a hurricane passes over the LC or an LCE, the excess heat in their near-surface waters causes intensification (<xref ref-type="bibr" rid="B25">Le H&#xe9;naff et&#xa0;al., 2021</xref>). These several effects prioritize an understanding of the dynamics of the LC system to promote public safety.</p>
<p>A sequence of historical efforts have observationally, theoretically, and numerically investigated mechanisms that extend the LC farther into the GoM together with the processes by which LCEs are shed (<xref ref-type="bibr" rid="B40">Pichevin and Nof, 1997</xref>; <xref ref-type="bibr" rid="B20">Hurlburt and Thompson, 1982</xref>; <xref ref-type="bibr" rid="B43">Schmitz, 2005</xref>; <xref ref-type="bibr" rid="B37">Oey et&#xa0;al., 2005</xref>). Much recent focus has been on near-surface observations and dynamics, seeking to develop improved forecasting ability for LCE separation (<xref ref-type="bibr" rid="B8">Dukhovskoy et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B9">Ernst et&#xa0;al., 2023</xref>). In contrast, knowledge of the processes governing the deep circulation remains elusive, though it is clear that observed deep near-bottom eddy variability can be strong (&#x223c; 0.1 &#x2212; 0.4&#xa0;m s<sup>&#x2212;1</sup>) in much of the GoM and almost never quiescent (<xref ref-type="bibr" rid="B6">Donohue et&#xa0;al., 2016b</xref>; <xref ref-type="bibr" rid="B22">Johnson et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B10">Furey et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B39">P&#xe9;rez-Brunius et&#xa0;al., 2018</xref>). Numerical models have typically underestimated the deep eddy kinetic energy by a factor of three or more (<xref ref-type="bibr" rid="B41">Rosburg et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B34">Morey et&#xa0;al., 2020</xref>).</p>
<p>Observations have illustrated ways that the upper and deep GoM interact. To leading order, the circulation in the GoM is characterized by two vertical modes (<xref ref-type="bibr" rid="B12">Hamilton, 2009</xref>; <xref ref-type="bibr" rid="B16">Hamilton et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B39">P&#xe9;rez-Brunius et&#xa0;al., 2018</xref>), with one describing the strong upper baroclinic currents associated with the LC and LCEs, and the second mode being nearly depth-independent from sea surface to the bottom (<xref ref-type="bibr" rid="B21">Inoue et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B50">Welsh et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B15">Hamilton et&#xa0;al., 2011</xref>). Together these two modes were found to account for &#x223c; 98% of the variance of subinertial currents in the central GoM (<xref ref-type="bibr" rid="B6">Donohue et&#xa0;al., 2016b</xref>). Mutual upper-deep coupling mechanisms are the focus of this paper.</p>
<p>Observing the characteristic signatures of upper-deep coupling requires measurements of currents at multiple levels spanning the upper and deep water column, and is facilitated by mapping arrays of the pressure stream function fields in the near surface and at depth. Such datasets have generally been confined to latitudes north of 25.5&#xb0;N (<xref ref-type="bibr" rid="B14">Hamilton et&#xa0;al., 2015</xref>). Additionally, numerical modeling efforts have not focused south of this latitude; however <xref ref-type="bibr" rid="B19">Hurlburt (1986)</xref> and <xref ref-type="bibr" rid="B36">Oey (2008)</xref> suggested that the region immediately north of Campeche Bank, where the LC enters deeper water (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>), is an important area for generation of deep eddies. Large mean-to-eddy energy conversion rates appear there along the western edge of the Loop Current as the current moves off the Campeche Bank into the deep topography of the Gulf.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Map of the model domain and bathymetry (contoured every 500&#xa0;m), with common physiographic features labeled accordingly. For the purpose of this study, the region south of approximately 25<sup>&#xb0;</sup>N between the Campeche Bank and West Florida Shelf is referred to as the Deep Southeast Channel (DSC).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1648949-g001.tif">
<alt-text content-type="machine-generated">Topographic map of the Gulf of Mexico showing contour lines. Key features include the Mississippi Fan, West Florida Shelf, Straits of Florida, Deep Southeast Channel, Campeche Bank, and Yucatan Strait.</alt-text>
</graphic>
</fig>
<p>Complementing that earlier work, this paper highlights upper-deep interactions further south, in a region that has not been examined before. A 6-year free-running numerical simulation using a regional configuration of the Navy Coastal Ocean Model (NCOM), to be described in Section 2, shows the importance of deep cyclones to LCE formation, particularly in the narrowly confined deep region south of 25&#xb0;N, circumscribed by the Yucat&#xe1;n Strait to the south and the steep lateral sidewalls of the Campeche Bank and the Florida Shelf to the west and east, respectively. Section 3 discusses deep eddies and vertical stretching. The model run highlights four southern separation events, as presented in Section 4. They illustrate ways that deep cyclones develop and strengthen from baroclinic joint development as well as from lower-layer stretching when the LC moves away from the steep channel sidewalls. Section 5 summarizes results.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Numerical model</title>
<p>We use the Navy Coastal Ocean Model (NCOM) Version 4.3 (<xref ref-type="bibr" rid="B30">Martin et&#xa0;al., 2009</xref>), a primitive equation, hydrostatic model with the Boussinesq approximation. This model and configuration underpin an ensemble forecast system for the Gulf of Mexico <xref ref-type="bibr" rid="B47">Thoppil et&#xa0;al. (2025)</xref>. Therefore, the model architecture, basic state, and performance have been tested and verified. We have selected case studies that are representative of LCE separations in the Deep Southeast Channel. The model uses a staggered Arakawa-C grid that extends from 18&#xb0;N to 31&#xb0;N and 98&#xb0;W to 79&#xb0;W with a 3&#xa0;km horizontal resolution on a spherical projection. In the vertical, there is a 35 layer terrain-following (free-<italic>&#x3c3;</italic>) grid in the upper 500&#xa0;m with bottom cells &#x201c;shaved&#x201d; as needed to match bathymetry, and below that are 15 <italic>z</italic>-levels. Within the Loop Current region, the surface and bottom cells are approximately 0.5 and 500&#xa0;m thick, respectively.</p>
<p>Vertical mixing is parameterized using the Mellor-Yamada Level 2 closure model (<xref ref-type="bibr" rid="B31">Mellor and Yamada, 1974</xref>, <xref ref-type="bibr" rid="B32">1982</xref>). A logarithmic bottom boundary layer is assumed, and bottom drag is computed with a spatially constant roughness length of 1&#xa0;cm. All advection schemes are 2nd order and no tidal forcing is prescribed. Open boundary conditions are specified by the global 1/12&#xb0; 41-layer Hybrid Coordinate Ocean Model (HYCOM) with the Naval Research Lab Coupled Ocean Data Assimilation (NCODA) System, together known as the Global Ocean Forecasting System (GOFS) version 3.1 (<xref ref-type="bibr" rid="B33">Metzger et&#xa0;al., 2014</xref>). The model was initiated from the year 2018 after a deep salinity offset had been corrected in GOFS 3.1. Deep temperature and salinity fields were relaxed to the U.S. Navy Generalized Digital Environment Model (GDEM) version 3.0 (<xref ref-type="bibr" rid="B1">Carnes et&#xa0;al., 2010</xref>). Meteorological forcing is from the Navy Global Environmental Model (<xref ref-type="bibr" rid="B17">Hogan et&#xa0;al., 2014</xref>). Model output (currents and sea surface height) were 4-day low-pass filtered for analysis. The model integration is run without data assimilation to forecast Loop Current eddies for comparison with observations. Instead our purpose is to illustrate the free-running dynamics that occur within the whole water column around the LC during its naturally occurring extension, detachment/reattachment, and separation cycle.</p>
<p>To represent the deep eddies, we extract the deep reference pressure (scaled hydrostatically to its equivalent sea surface height) after decomposing the total model sea surface height anomaly (<italic>&#x3b7;<sub>tot</sub></italic>) as the sum of deep reference (<italic>&#x3b7;<sub>ref</sub></italic>) and steric (<italic>&#x3b7;<sub>steric</sub></italic>) components:</p>
<disp-formula id="eq1"><label>(1)</label>
<mml:math display="block" id="M1"><mml:mrow><mml:msub><mml:mi>&#x3b7;</mml:mi><mml:mrow><mml:mi>t</mml:mi><mml:mi>o</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mtext>&#xa0;&#xa0;</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x3b7;</mml:mi><mml:mrow><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mi>f</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x3b7;</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi><mml:mi>i</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mtext>&#xa0;&#xa0;&#xa0;</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x3b7;</mml:mi><mml:mrow><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mi>f</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mi>&#x3d5;</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>g</mml:mi><mml:mtext>&#xa0;&#xa0;</mml:mtext><mml:mo>,</mml:mo></mml:mrow></mml:math>
</disp-formula>
<p>where <italic>&#x3b7;<sub>steric</sub></italic> is equal to the geopotential height anomaly, <italic>&#x3d5;</italic>, divided by the acceleration of gravity, <italic>g</italic>. To compute <italic>&#x3d5;</italic>, we integrate the specific volume anomaly, <inline-formula>
<mml:math display="inline" id="im1"><mml:mrow><mml:mi>&#x3b4;</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mi>&#x3c1;</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>S</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi>P</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mfrac><mml:mo>&#x2212;</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mi>&#x3c1;</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>,</mml:mo><mml:mi>P</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mfrac><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> from the sea surface (<italic>P</italic><sub>1</sub> = 0 dbar) to a constant reference pressure of <italic>P</italic><sub>2</sub> = 2023 dbar (a convenient reference pressure in the model):</p>
<disp-formula id="eq2"><label>(2)</label>
<mml:math display="block" id="M2"><mml:mrow><mml:mi>&#x3d5;</mml:mi><mml:mo>=</mml:mo><mml:msubsup><mml:mo>&#x222b;</mml:mo><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:msubsup><mml:mi>&#x3b4;</mml:mi><mml:mtext>&#xa0;</mml:mtext><mml:mi>d</mml:mi><mml:mi>P</mml:mi><mml:mtext>&#xa0;</mml:mtext><mml:mo>.</mml:mo></mml:mrow></mml:math>
</disp-formula>
<p>Here <italic>P</italic> is pressure, <italic>&#x3c1;</italic> is density, <italic>S</italic> is salinity, <italic>T</italic> is temperature, and <italic>S</italic><sub>0</sub> and <italic>T</italic><sub>0</sub> are reference values of 35 psu and 0&#xb0;C, respectively. Hence, <italic>&#x3b7;<sub>ref</sub></italic> is the perturbation height of the reference pressure surface, calculated as the difference between <italic>&#x3b7;<sub>tot</sub></italic> and <inline-formula>
<mml:math display="inline" id="im2"><mml:mrow><mml:msub><mml:mi>&#x3b7;</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi><mml:mi>i</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>&#x3d5;</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>g</mml:mi></mml:mrow></mml:math></inline-formula> integrated in the following case-studies from the sea surface down to 2023 dbar.</p>
<p>Three sources of observations were obtained with which to compare model output. <italic>In situ</italic> observations consist of &#x223c; 4000 CTD and Argo float profiles, from approximately 82.9&#xb0;W and 23.3&#xb0;N to 87.5&#xb0;W and 28.6&#xb0;N in the eastern GoM, and from 87.5&#xb0;W and 23.9&#xb0;N to 96.1&#xb0;W and 28.6&#xb0;N in the western GoM. Besides the majority of profiles shallower than 2000&#xa0;m that were provided by the Argo float program between 2010 and 2021, the bulk of the deep data came from shipboard CTDs in the Exploratory Study of Deepwater Currents in the Gulf of Mexico (<xref ref-type="bibr" rid="B5">Donohue et&#xa0;al., 2006</xref>). These were supplemented by hydrocasts, National Oceanic and Atmospheric Administration (NOAA) casts during the Deepwater Horizon oil spill, and observations from the Center for Scientific Research and Higher Education at Ensenada (CICESE; <xref ref-type="bibr" rid="B7">Donohue et&#xa0;al., 2016a</xref>). For comparison, both model output and hydrographic profiles were averaged in two separate and narrow ranges of geostrophic stream function (<italic>&#x3d5;</italic> in <xref ref-type="disp-formula" rid="eq2">Equation 2</xref>), to distinguish between inside and outside the warm core of the LC. Profiles of salinity are shown in <xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2</bold></xref>. Outside of the LC, the modeled salinity demonstrates a small fresh bias, while inside the LC, the model is notably fresh by approximately 0.3 psu near the &#x223c;200 m depth Subtropical Underwater (SUW) salinity maximum.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Comparison of model results to <italic>in situ</italic> observations: <bold>(A)</bold> Profiles of salinity averaged along geostrophic stream functions representative of waters inside (<italic>&#x3d5;</italic>&#xa0;=&#xa0;18 m<sup>2</sup> s<sup>&#x2212;2</sup>) and outside (<italic>&#x3d5;</italic>&#xa0;=&#xa0;13 m<sup>2</sup> s<sup>&#x2212;2</sup>) the LC; <bold>(B)</bold> Temperature profiles averaged along the same two sets of geostrophic streamlines; <bold>(C)</bold> Time-averaged eddy kinetic energy (EKE) from 1500&#x2013;2500 m gridded float data (<xref ref-type="bibr" rid="B39">P&#xe9;rez-Brunius et&#xa0;al., 2018</xref>, available at <ext-link ext-link-type="uri" xlink:href="https://opendata.boem.gov/GriddedFields_1500m_floats_CF.nc">https://opendata.boem.gov/GriddedFields_1500m_floats_CF.nc</ext-link>); <bold>(D)</bold> 6 year time-averaged EKE at 1500&#xa0;m from model output.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1648949-g002.tif">
<alt-text content-type="machine-generated">Panel A shows salinity against pressure, comparing observed and modeled data inside and outside the Loop Current. Panel B shows temperature against pressure for similar conditions. Panels C and D depict deep eddy kinetic energy maps, with panel C showing observations and panel D showing model predictions, centered around the Gulf of Mexico. The scale bar indicates EKE values from 0.000 to 0.010 square meters per second squared.</alt-text>
</graphic>
</fig>
<p>We have evaluated altimeter-derived SSH standard deviation (not shown) for the years 2018-2023. The magnitudes are comparable, and maximum standard deviations are near 0.28&#xa0;m and are associated with the LC retreating and extending into the Gulf. The model has smaller SSH standard deviation northwest of 25&#xb0;N compared to the altimeter data, which simply corresponds to the present set of cases considered here where southern separations are favored.</p>
<p><xref ref-type="bibr" rid="B24">Leben (2005)</xref> showed that the separation period was influenced by LC retreat, with a bimodal distribution: when the LC retreats south of 25&#xb0;N, the average separation period for subsequent separations was 16.2 months &#x2013; longer than the case when the LC retreats north of 25&#xb0;N. The present model runs for 6 years and has 6 separations, four of which are detailed in this work. From simulated years 2019 to 2022, four sequential separations occurred where the LC retreated south of 25&#xb0;N. These separation intervals are on par with the <xref ref-type="bibr" rid="B24">Leben (2005)</xref> altimeter-based observations that ranged from 1 to 18 months.</p>
<p>To compare the eddy kinetic energy (EKE) of deep currents, gridded float data from 1500&#x2013;2500 m were obtained from the Bureau of Ocean Energy Management (BOEM). For the gridded data, EKE was estimated as half of the sum of the variance along the major and minor current variance ellipse axes (<xref ref-type="bibr" rid="B39">P&#xe9;rez-Brunius et&#xa0;al., 2018</xref>). Time-averaged EKE for the gridded and model data is shown in <xref ref-type="fig" rid="f2"><bold>Figures&#xa0;2C, D</bold></xref>. The observed deep EKE in the southeastern GoM is approximately 2&#x2013;3 times larger than that computed from the model. This low bias is similar to underestimates of deep EKE observed in other models (<xref ref-type="bibr" rid="B41">Rosburg et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B34">Morey et&#xa0;al., 2020</xref>). Nevertheless, we will demonstrate that characteristics of baroclinic instability processes are realistically depicted in the present model.</p>
</sec>
<sec id="s3">
<label>3</label>
<title>Deep eddies and vertical stretching</title>
<p>The time-averaged deep pressure field (<italic>&#x3b7;<sub>ref</sub></italic>) from the numerical simulation shows that the prominent feature in the southeastern GoM is a deep cyclone that spans the width of the local sub-basin (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3A</bold></xref>). We refer to this deep basin south of 25&#xb0;N, circumscribed by the Yucat&#xe1;n Strait to the south and the steep lateral sidewalls of the Campeche Bank and the Florida Shelf to the west and east, respectively, as the Deep Southeast Channel, or DSC (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>). From six years of model output, the average deep reference height within the deep cyclone shown in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3A</bold></xref> is -0.0076&#xa0;m, and its amplitude ranges from &#x223c; +0.06 m to &#x223c; &#x2212;0.10 m during eddy shedding events (<xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3B</bold></xref>).</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p><bold>(A)</bold> Map of the deep field, <italic>&#x3b7;<sub>ref</sub></italic>, time-averaged over the six-year simulation period, where <italic>&#x3b7;<sub>ref</sub></italic> from <xref ref-type="disp-formula" rid="eq1">Equation 1</xref> represents the depth perturbation of the chosen reference pressure, 2023 dbar. <bold>(B)</bold> Time series of the deep field at the location marked by a white &#x201c;x&#x201d; in the map. The shaded periods indicate the four cases to be detailed. The dashed line is the mean of the time series (-0.0076&#xa0;m).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1648949-g003.tif">
<alt-text content-type="machine-generated">Map showing the six-year average of sea surface height (\(\eta_{\text{ref}}\)) in meters over a specified region, with contour lines and a color gradient from blue to red. Below, a line graph depicts \(\eta_{\text{ref}}\) changes from 2018 to 2023, highlighting case studies with shaded areas.</alt-text>
</graphic>
</fig>
<p>All four eddy shedding events that occurred during the model run are presented as Case Studies in Section 4. LC interactions with deep cyclones and anticyclones are important during these events. Examination of <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3B</bold></xref> prompts two remarks. First, several additional deep pressure lows in the DSC occurred without separation of an LCE. Some deep lows (more examples than illustrated here) occurred during intervals of a retracted LC, suggesting a deep cyclone may tend to block LC extension, such as illustrated in Case 3. Also, the deep cyclone does not initially have to be strong, but can develop to nonetheless influence the necking down or shedding process, as will be shown in Case 4.</p>
<p>Prior numerical studies have noted cyclonic features in the southeast GoM (<xref ref-type="bibr" rid="B36">Oey, 2008</xref>; <xref ref-type="bibr" rid="B34">Morey et&#xa0;al., 2020</xref>), yet the mechanisms of formation for these deep cyclones has not been explored and deserves further observational and numerical investigation. Based on the numerical model results presented here, we argue below that deep cyclones in the DSC region are important in regards to LCEs because of their contributions to advection and vorticity, facilitating necking down or pinching off of an LCE. In addition, they may prevent previously detached eddies from reattaching (<xref ref-type="bibr" rid="B43">Schmitz Jr, 2005</xref>; <xref ref-type="bibr" rid="B3">Ch&#xe9;rubin et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B44">Shay et&#xa0;al., 2011</xref>).</p>
<p>Importantly, though the <italic>&#x3b7;<sub>ref</sub></italic> contribution to sea surface height is relatively weaker than the range of <italic>&#x3b7;<sub>tot</sub></italic>, the signatures, gradients, and currents dominate the sub-pycnocline layers below &#x223c; 1200&#xa0;m. While we will refer to them as deep eddies and deep cyclones, one should bear in mind that they contribute a uniform vertical structure throughout the water column. In particular, their reference velocities add components that may cross normal to the upper layer baroclinic currents (<xref ref-type="bibr" rid="B6">Donohue et&#xa0;al., 2016b</xref>), and hence in the upper water column the reference currents are predominantly responsible for mesoscale cross-frontal motions.</p>
<p>The mechanism by which the upper and lower layers influence each other is through vertical stretching exerted by one layer upon the other layer, as in the following two manners: (i) when the upper baroclinic front shifts laterally, the sloped isopycnals enable vertical stretching of the weakly stratified lower water column; (ii) additionally, when the deep reference current has a component of flow crossing the upper baroclinic jet structure, its depth-independent component flows along sloped isopycnal levels <italic>z<sub>&#x3c1;</sub></italic>. This produces vertical velocity <inline-formula>
<mml:math display="inline" id="im3"><mml:mrow><mml:mi>w</mml:mi><mml:mo>=</mml:mo><mml:mtext>u</mml:mtext><mml:mo>&#xb7;</mml:mo><mml:mo>&#x2207;</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi>&#x3c1;</mml:mi></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula> in the upper layer (<xref ref-type="bibr" rid="B27">Lindstrom et&#xa0;al., 1997</xref>), and consequently, the upper layer waters are vertically stretched or squashed, as shown in <xref ref-type="bibr" rid="B18">Howden (2000)</xref>. Both aspects of upper-deep coupling work jointly in the well-known process of baroclinic instability, which develops when there is a favorable vertical offset between perturbations in the upper and deep eddy variability. The characteristic signature is a phase tilt with deep cyclones/anticyclones leading the upper jet troughs/crests along the direction of upper jet flow by roughly a quarter wavelength (<xref ref-type="bibr" rid="B49">Watts et&#xa0;al., 1995</xref>; <xref ref-type="bibr" rid="B46">Sutyrin et&#xa0;al., 2001</xref>). If deep flow components cross sloped bottom topography, this contributes strong additional vertical stretching. A textbook illustration can be seen in <xref ref-type="bibr" rid="B4">Cushman-Roisin and Beckers (2011)</xref>, and observational studies include <xref ref-type="bibr" rid="B42">Savidge and Bane (1999)</xref>; <xref ref-type="bibr" rid="B2">Chereskin et&#xa0;al. (2009)</xref>; <xref ref-type="bibr" rid="B6">Donohue et&#xa0;al. (2016b)</xref>, and <xref ref-type="bibr" rid="B10">Furey et&#xa0;al. (2018)</xref>.</p>
<p>To illustrate the dynamical relationship between relative vorticity in the lower layer and the LC pycnocline depth, we begin with conservation of potential vorticity (<italic>Q</italic>), and follow procedures from <xref ref-type="bibr" rid="B48">Vallis (2017)</xref>, allowing us to write (<xref ref-type="disp-formula" rid="eq3">Equations 3</xref>&#x2013;<xref ref-type="disp-formula" rid="eq5">5</xref>):</p>
<disp-formula id="eq3"><label>(3)</label>
<mml:math display="block" id="M3"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>&#x3b6;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:math>
</disp-formula>
<p>and</p>
<disp-formula id="eq4"><label>(4)</label>
<mml:math display="block" id="M4"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>D</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im4"><mml:mrow><mml:msub><mml:mi>&#x3b6;</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is relative vorticity in layer <inline-formula>
<mml:math display="inline" id="im5"><mml:mi>i</mml:mi></mml:math></inline-formula>, <inline-formula>
<mml:math display="inline" id="im6"><mml:mi>f</mml:mi></mml:math></inline-formula> is the Coriolis frequency, and <inline-formula>
<mml:math display="inline" id="im7"><mml:mrow><mml:msub><mml:mi>h</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the thickness of layer <inline-formula>
<mml:math display="inline" id="im8"><mml:mi>i</mml:mi></mml:math></inline-formula>. For convenience, we proceed by omitting the subscript <inline-formula>
<mml:math display="inline" id="im9"><mml:mi>i</mml:mi></mml:math></inline-formula>, and focus on the deep layer. The Coriolis frequency varies with latitude, approximately linearly as <inline-formula>
<mml:math display="inline" id="im10"><mml:mrow><mml:mi>f</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi>&#x3b2;</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula>
<mml:math display="inline" id="im11"><mml:mrow><mml:mi>&#x3b2;</mml:mi><mml:mo>=</mml:mo><mml:mi>d</mml:mi><mml:mi>f</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>d</mml:mi><mml:mi>y</mml:mi></mml:mrow></mml:math></inline-formula>, and <inline-formula>
<mml:math display="inline" id="im12"><mml:mi>y</mml:mi></mml:math></inline-formula> is the latitudinal dimension. Decomposing <inline-formula>
<mml:math display="inline" id="im13"><mml:mi>h</mml:mi></mml:math></inline-formula> into mean layer thickness <inline-formula>
<mml:math display="inline" id="im14"><mml:mi>H</mml:mi></mml:math></inline-formula> and perturbation <inline-formula>
<mml:math display="inline" id="im15"><mml:msup><mml:mi>h</mml:mi><mml:mo>&#x2032;</mml:mo></mml:msup></mml:math></inline-formula>, we write <inline-formula>
<mml:math display="inline" id="im16"><mml:mrow><mml:mi>h</mml:mi><mml:mo>=</mml:mo><mml:mi>H</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mfrac><mml:msup><mml:mi>h</mml:mi><mml:mo>&#x2032;</mml:mo></mml:msup><mml:mi>H</mml:mi></mml:mfrac><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></inline-formula>. Assuming both <inline-formula>
<mml:math display="inline" id="im17"><mml:mrow><mml:mo>|</mml:mo><mml:mi>&#x3b6;</mml:mi><mml:mo>|</mml:mo><mml:mo>&#x226a;</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula>
<mml:math display="inline" id="im18"><mml:mrow><mml:mo>|</mml:mo><mml:mi>&#x3b2;</mml:mi><mml:mi>y</mml:mi><mml:mo>|</mml:mo><mml:mo>&#x226a;</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, as well as <inline-formula>
<mml:math display="inline" id="im19"><mml:mrow><mml:mo>|</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mo>&#x2032;</mml:mo></mml:msup><mml:mo>|</mml:mo><mml:mo>&#x226a;</mml:mo><mml:mi>H</mml:mi></mml:mrow></mml:math></inline-formula>, and making use of the binomial expansion gives:</p>
<disp-formula id="eq5"><label>(5)</label>
<mml:math display="block" id="M5"><mml:mrow><mml:mi>Q</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow><mml:mi>H</mml:mi></mml:mfrac><mml:mo>)</mml:mo><mml:mo>[</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mfrac><mml:mrow><mml:mi>&#x3b2;</mml:mi><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:mfrac><mml:mo>+</mml:mo><mml:mfrac><mml:mi>&#x3b6;</mml:mi><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x2212;</mml:mo><mml:mfrac><mml:msup><mml:mi>h</mml:mi><mml:mo>&#x2032;</mml:mo></mml:msup><mml:mi>H</mml:mi></mml:mfrac><mml:mtext>&#xa0;</mml:mtext><mml:mo>]</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math>
</disp-formula>
<p><inline-formula>
<mml:math display="inline" id="im20"><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow><mml:mi>H</mml:mi></mml:mfrac></mml:mrow></mml:math></inline-formula> is constant, and in our examples the small meridional excursions make <inline-formula>
<mml:math display="inline" id="im21"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>&#x3b2;</mml:mi><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x226a;</mml:mo><mml:mfrac><mml:msup><mml:mi>h</mml:mi><mml:mo>&#x2032;</mml:mo></mml:msup><mml:mi>H</mml:mi></mml:mfrac></mml:mrow></mml:math></inline-formula> (respectively, these two quantities are of order 1E-2 and 1E-1). Hence following a water parcel the quantity <inline-formula>
<mml:math display="inline" id="im22"><mml:mrow><mml:mi>q</mml:mi><mml:mo>&#x2248;</mml:mo><mml:mfrac><mml:mi>&#x3b6;</mml:mi><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x2212;</mml:mo><mml:mfrac><mml:msup><mml:mi>h</mml:mi><mml:mo>&#x2032;</mml:mo></mml:msup><mml:mi>H</mml:mi></mml:mfrac></mml:mrow></mml:math></inline-formula> is materially conserved, implying that changes in relative vorticity correspond to changes in layer thickness as:</p>
<disp-formula id="eq6"><label>(6)</label>
<mml:math display="block" id="M6"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>D</mml:mi><mml:mi>&#x3b6;</mml:mi></mml:mrow><mml:mrow><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac><mml:mo>&#x2248;</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow><mml:mi>H</mml:mi></mml:mfrac><mml:mfrac><mml:mrow><mml:mi>D</mml:mi><mml:msup><mml:mi>h</mml:mi><mml:mo>&#x2032;</mml:mo></mml:msup></mml:mrow><mml:mrow><mml:mi>D</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mrow></mml:math>
</disp-formula>
<p>In the upper layer, <italic>h</italic>&#x2032; changes with pycnocline depth when a parcel has a cross-frontal component of flow. In the lower layer, <italic>h</italic>&#x2032; changes with both pycnocline depth and with bottom topography, whereby either influence can produce squashing or stretching of the deep layer.</p>
<p>Importantly, within the DSC, bracketed by nearly vertical side walls (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>), the deep stretching is locally constrained, and the deep eddies so produced cannot translate away. An idealized schematic of this latter process is illustrated in <xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>, showing the development of a deep cyclone in the stretching lower layer beneath the departing LC pycnocline. The effectiveness of this laterally-constrained stretching mechanism is supported by the numerical model, as will be shown in Section 4.4. The deep cyclones in turn remain to contribute to necking down the upper LC, and this can lead directly to LCE separation.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Examples of the LC leaning to the <bold>(A)</bold> left (i.e. west) toward the Campeche Bank sidewall, and <bold>(B)</bold> right (i.e. east) toward the West Florida Shelf sidewall. In each panel, the model sea surface height field (<italic>&#x3b7;<sub>tot</sub></italic>) is shown in color, and the 17&#xa0;cm contour highlighted with the bold black line represents the position of the LC.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1648949-g004.tif">
<alt-text content-type="machine-generated">Contour maps labeled A and B depict oceanic surface elevation changes in meters, using a color gradient from blue to brown, representing values from negative 0.6 to positive 0.6 meters. Map A shows data from May 2, 2022, while map B shows data from August 3, 2020, with geographical coordinates marked along the axes.</alt-text>
</graphic>
</fig>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Idealized schematic of deep cyclone formation driven by lower layer stretching. At Time 1 (green lines), the LC flows along shelf with no meanders, and the associated pycnocline is bounded on the east by topographical features (i.e. the West Florida Shelf). At Time 2 (blue lines) the pycnocline draws away from the topography as a result of an upper layer meander trough, such that the lower layer thickness (<italic>h</italic>) at that location stretches vertically, driving deep cyclonic flow with positive relative vorticity (<italic>&#x3b6;</italic>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1648949-g005.tif">
<alt-text content-type="machine-generated">Diagram illustrating ocean dynamics near the West Florida Shelf. Arrows indicate the movement of the Loop Current (LC) at two different times. &#x201c;Time 1&#x201d; shows the LC flowing straight along the shelf, while &#x201c;Time 2&#x201d; demonstrates the LC moving off the shelf, causing the lower layer to stretch and a deep cyclone to develop. The pycnocline is depicted, separating different water layers. Axes are labeled x for east, y for north, and z for vertical.</alt-text>
</graphic>
</fig>
<p>In contrast, north of 25&#xb0;N and away from the steep Campeche and Florida slopes, meanders can develop all around the unconstrained periphery of the LC or of a large detached LC ring (<xref ref-type="bibr" rid="B6">Donohue et&#xa0;al., 2016b</xref>; <xref ref-type="bibr" rid="B16">Hamilton et&#xa0;al., 2016</xref>, <xref ref-type="bibr" rid="B13">2019</xref>). Comprehensive studies on the eddy shedding events Ekman, Franklin, Hadal (<xref ref-type="bibr" rid="B6">Donohue et&#xa0;al., 2016b</xref>), and Thor (<xref ref-type="bibr" rid="B22">Johnson et&#xa0;al., 2022</xref>) have demonstrated the primary role of baroclinic instability. From our present study of the less-documented DSC region, we provide evidence that both baroclinic joint development and the constraints of side-walls can facilitate LCE separation in the DSC.</p>
<p>Within the DSC, the LC may shift slightly to the Campeche or Florida side as it advances, which restricts meandering along that respective flank. While the deep topography (1500 &#x2212; 3000&#xa0;m) is nearly vertical on both sides, the upper topographic slope (100 &#x2212; 1400&#xa0;m) is gentle on the Campeche Bank side (<xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>). The bottom slope there (<inline-formula>
<mml:math display="inline" id="im23"><mml:mrow><mml:mo>&#x223c;</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mn>20</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math></inline-formula>) nevertheless exerts a strong constraint, and the flow closely follows the topography in three case studies presented wherein the LC leans left (west, e.g. <xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4A</bold></xref>). In such instances, LC meandering and deep eddy formation then occurs along the opposite side (toward the Florida Shelf). Case studies presented below indicate that a deep cyclone may be spun up as the LC front meanders away from either of the DSC walls. In the next Section, of the four cases during which eddies were shed, two are strongly influenced by this paradigm. In the other two cases the LC protrudes far enough northward beyond the constraining side walls of the DSC to behave in a manner indicative of baroclinic joint development.</p>
</sec>
<sec id="s4">
<label>4</label>
<title>Case studies</title>
<p>Here we highlight four time periods from the model output showing the evolution of the LC as it extends into the GoM and an LCE separates. Each of the following cases is illustrated by a pair of figures:</p>
<list list-type="roman-lower">
<list-item>
<p>A mapped sequence of the deep reference pressure fields along with the LC and deep eddy circulation.</p></list-item>
<list-item>
<p>A corresponding sequence of vertical sections on an along-stream transect to show the vertical structure of the developing fields.</p></list-item>
</list>
<p>Our focus is on deep cyclones that develop within the DSC, as they directly contribute to the necking down and eddy shedding process, and the deep cyclones can oppose the reattachment of detached upper eddies. While baroclinic instability is one process known to drive deep cyclones and anticyclones in the open GoM (<xref ref-type="bibr" rid="B6">Donohue et&#xa0;al., 2016b</xref>; <xref ref-type="bibr" rid="B36">Oey, 2008</xref>), the results here also emphasize LC interaction with the DSC walls.</p>
<sec id="s4_1">
<label>4.1</label>
<title>Case 1: LC meander shifts away from Campeche Bank</title>
<p>From July 7 to 16, 2020, a weak deep anticyclone centered at approximately 85.75&#xb0;W and 25&#xb0;N has formed ahead of the LC extending into the DSC (<xref ref-type="fig" rid="f6"><bold>Figures&#xa0;6A, B</bold></xref>), and nine days later, the deep anticyclone is beneath the head of the LC as it drives zonal currents of &#x223c;10 cm s<sup>&#x2212;1</sup> (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6C</bold></xref>). Note the deepened thermocline and near-surface increased salinity layer along transect <italic>XO</italic> over a distance of roughly 225&#xa0;km accompanying the LC (<xref ref-type="fig" rid="f7"><bold>Figures&#xa0;7A, B</bold></xref>). During July 25-August 4&#xa0;a nascent deep cyclone develops near the northeastern slope of the Campeche Bank at approximately 85.25&#xb0;W, 24.5&#xb0;N (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6D</bold></xref>). This cyclone will jointly develop under a meander trough on the western side of the LC and become the dominant feature of the DSC during Case 1. On August 4, an anticyclone-cyclone pair, termed a &#x201c;modon&#x201d; by <xref ref-type="bibr" rid="B20">Hurlburt and Thompson (1982)</xref>, has formed beneath the western LC edge (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6D</bold></xref>). Along the northeastern Campeche Bank, the shallow thermocline and upward tilt of the isopycnals are indicative of the overlying meander trough between approximately 85.0&#xb0;W, 23&#xb0;N, and 85.5&#xb0;W, 24.6&#xb0;N (<xref ref-type="fig" rid="f7"><bold>Figures&#xa0;7C, D</bold></xref>). By August 13, the strengthening deep cyclone leads a jointly developing upper trough in the LC south of 24&#xb0;N (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6E</bold></xref>). The deep cyclone has expanded to occupy the width of the DSC (&#x223c; 250&#xa0;km), driving zonal flows of &gt;20&#xa0;cm s<sup>&#x2212;1</sup> that dominate the flow from 1000 dbar to the bottom, with a notable vertical tilt through the upper 1000 dbar (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7D</bold></xref>). By August 22, an LC eddy has pinched off near the steep slope of the West Florida Shelf and subsequently shifts westward around the northern edge of the DSC cyclone, while the LC retracts to a port-to-port mode (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6F</bold></xref>). Zonal currents across the DSC are largely cyclonic, with speeds approaching 25&#xa0;cm s<sup>&#x2212;1</sup>, a shallow thermocline, and lifted isopycnals, particularly near 85.1&#xb0;W, 23.25&#xb0;N (<xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7E</bold></xref>). During the remaining 27 days of Case 1, the LC remains retracted as the shed LCE moves westward along the northern edge of the Campeche Bank, and the DSC cyclone gradually diminishes (<xref ref-type="fig" rid="f6"><bold>Figures&#xa0;6G&#x2013;I</bold></xref>).</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Time evolution of LC and deep field during Case 1 from <bold>(A)</bold> July 7, 2020 through <bold>(I)</bold> September 20, 2020. In each panel, black contours indicate the model sea surface height, <italic>&#x3b7;<sub>tot</sub></italic>, contoured from 8 to 14&#xa0;cm and 17 to 23&#xa0;cm with 2&#xa0;cm increments. The pair of thick black contours indicate 14 and 17&#xa0;cm, which typify the strongest currents in the LC. The deep reference field (<italic>&#x3b7;<sub>ref</sub></italic>) is shown in color. Arrows indicate model currents at 2000 dbar, averaged approximately every 42&#xa0;km latitudinally and 33&#xa0;km longitudinally. Bathymetry is contoured every 250&#xa0;m. In the green-bounded panels <bold>(B&#x2013;F)</bold>, the path of the depth transect depicted in subsequent <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref> is indicated by the bold line, beginning at the X and ending at the O, approximately along the downstream direction of the LC geostrophic flow. In <bold>(D, E)</bold> green dotted lines indicate the vertical offset, along the direction of propagation, between the upper and deep fields.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1648949-g006.tif">
<alt-text content-type="machine-generated">Nine maps display sea surface height and $\eta_{ref}$ in the Gulf of Mexico from July to September 2020. Each map is labeled with dates and shows colored areas indicating $\eta_{ref}$ with blue for low anomalies and red for high anomalies. Contour lines depict sea surface height. Arrows depict deep currents. The maps track changes in the pattern over time, illustrating significant deep variations on specific dates. The color scale at the top ranges from negative 0.10 meters in blue to positive 0.10 meters in red.</alt-text>
</graphic>
</fig>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>For Case 1, vertical transects of (top row) temperature, (2nd row) salinity, (3rd row) zonal velocity, and (bottom row) meridional velocity, with each column <bold>(A-E)</bold> corresponding to an associated highlighted panel in  <xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>. Note that only the upper 1250 dbar of the water column are shown in the temperature and salinity profiles. The horizontal axis on each panel is the downstream distance along the bold transect indicated in <xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>. The corresponding latitude and longitude coordinates are indicated under the bottom leftmost panel. In the temperature panels, the 12 and 6&#xb0;C isotherms are indicated with black dashed lines, and in the salinity panels, the 36.5 psu contour, indicative of the SUW core, is shown with a black dashed line. Isopycnal contours of potential density are indicated in each panel. Positive currents are to the east (brown hues) and north (violet hues). In panels <bold>(C, D)</bold> for <italic>u</italic>, dashed lines emphasize the vertical offset in the direction of propagation, between the upper and deep fields.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1648949-g007.tif">
<alt-text content-type="machine-generated">Panels display oceanographic variables over time on July 16, July 25, August 4, August 13, and August 22, 2020. Contour plots of temperature (T), salinity (S), zonal velocity (U) and meridional velocity (V) as a function of pressure. Contour lines indicate density. Temperature ranges from 10 to 30 degrees Celsius. Salinity is marked in practical salinity units (psu). Velocities are measured in meters per second (m/s). Geographical coordinates at the bottom indicate position along an east/south to west/north axis from 85.1&#xb0;W to 85.7&#xb0;W and 23.2&#xb0;N to 25.2&#xb0;N.</alt-text>
</graphic>
</fig>
<p>Case 1 is an example of the LC leaning toward the eastern DSC boundary (the slope along the West Florida Shelf), and as a meander trough in the extending LC recedes from the western DSC boundary (the Campeche Bank slope), the locally-induced cyclonic deep eddy grows rapidly while the boundary prevents westward propagation of that deep eddy circulation. Indications of baroclinic instability, where the deep field leads the upper by roughly a quarter wavelength, are seen in Case 1 (<xref ref-type="fig" rid="f6"><bold>Figures&#xa0;6D, E</bold></xref>, <xref ref-type="fig" rid="f7"><bold>7C</bold></xref>), with the meander trough along the western side of the LC.</p>
<sec id="s4_1_1">
<label>4.1.1</label>
<title>Potential vorticity analysis for Case 1</title>
<p>From the deep cyclone spun up in the model, we can motivate the agreement between changes in <italic>&#x3b6;/f</italic><sub>0</sub> and <italic>h</italic>&#x2032;<italic>/H</italic> (<xref ref-type="disp-formula" rid="eq6">Equation 6</xref>). Cautionary remarks are that nonlinear terms have been neglected, and it is uncertain whether the spun-up eddy core is trapped, so the analysis only qualitatively follows a water parcel. Additionally, we note that the model has dissipative terms that are already known to weaken the deep eddy velocities. The LC begins to draw away from the Campeche Bank on July 25 (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6C</bold></xref>), and the deep cyclone is thoroughly established by August 22 (<xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6F</bold></xref>), 28&#xa0;d later. For this time interval, we approximate <inline-formula>
<mml:math display="inline" id="im24"><mml:mrow><mml:mfrac><mml:mi>V</mml:mi><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mi>R</mml:mi></mml:mrow></mml:mfrac></mml:mrow></mml:math></inline-formula>, or the deep layer change in curvature vorticity divided by <italic>f</italic><sub>0</sub>, estimating representative values for velocity <italic>V</italic> and curvature radius <italic>R</italic> from <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7E</bold></xref>, as: <inline-formula>
<mml:math display="inline" id="im25"><mml:mrow><mml:mo>+</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>0.2</mml:mn><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">/</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>0.6</mml:mn><mml:mo>&#xd7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mn>4</mml:mn></mml:mrow></mml:msup><mml:mo>&#xd7;</mml:mo><mml:mn>50</mml:mn><mml:mo>&#xd7;</mml:mo><mml:msup><mml:mrow><mml:mn>10</mml:mn></mml:mrow><mml:mn>3</mml:mn></mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mo>&#x2248;</mml:mo><mml:mo>+</mml:mo><mml:mn>0.07</mml:mn></mml:mrow></mml:math></inline-formula>. Using the <inline-formula>
<mml:math display="inline" id="im26"><mml:mrow><mml:mn>6</mml:mn><mml:mo>&#xb0;</mml:mo><mml:mtext>C</mml:mtext><mml:mo>&#x223c;</mml:mo><mml:mn>27.4</mml:mn></mml:mrow></mml:math></inline-formula> potential density contours in <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref> as an indication of changes in the thermocline depth gives <inline-formula>
<mml:math display="inline" id="im27"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>&#x394;</mml:mi><mml:msup><mml:mi>h</mml:mi><mml:mo>&#x2032;</mml:mo></mml:msup></mml:mrow><mml:mi>H</mml:mi></mml:mfrac><mml:mo>&#x2248;</mml:mo><mml:mfrac><mml:mrow><mml:mo>+</mml:mo><mml:mn>250</mml:mn></mml:mrow><mml:mrow><mml:mn>3300</mml:mn></mml:mrow></mml:mfrac><mml:mo>&#x2248;</mml:mo><mml:mo>+</mml:mo><mml:mn>0.076</mml:mn></mml:mrow></mml:math></inline-formula>. Thus we find agreement in sign and magnitude as qualitative support of the asserted dynamical balance between vertical stretching and changes in deep vorticity.</p>
</sec>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Case 2: Classic baroclinic instability</title>
<p>On November 20, 2018, the LC has extended northward to approximately 27&#xb0;N, with a deep anticyclone under the leading edge, while along the eastern side a meander crest at 25&#xb0;N approaches the West Florida Shelf slope (<xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8A</bold></xref>). Eight days later that crest has translated south, and a meander trough and deep cyclone have developed on the eastern side of the LC (translating downstream along the transect indicated in <xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8B</bold></xref>), and the deep currents along the West Florida Shelf slope grow to 30&#xa0;cm s<sup>&#x2212;1</sup> to the NW (<xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8B</bold></xref>). Additional results of the southward shift of the meander crest are evident from the shift of downward-sloped upper isopycnals between November 20 and 28 in the transect parallel to the West Florida Shelf slope and the shift in the near surface high salinity layer (<xref ref-type="fig" rid="f9"><bold>Figures&#xa0;9A, B</bold></xref>). From December 6 to 14, the jointly developing meander trough and deep cyclone adjacent to the West Florida Shelf slope continue southeastward and intensify, and the LC is necking down toward detaching an eddy (<xref ref-type="fig" rid="f8"><bold>Figures&#xa0;8C&#x2013;F</bold></xref>). The high salinity layer, deep thermocline, and sloping isopycnals of the LC have moved to the southeast, as the deep cyclonic currents extend through the water column (<xref ref-type="fig" rid="f9"><bold>Figures&#xa0;9C, D</bold></xref>); also note the vertical offset between the surface and deep zonal velocity in <xref ref-type="fig" rid="f9"><bold>Figure&#xa0;9C</bold></xref> showing the deep leading the upper features in the along-stream direction. The DSC cyclone approaches its strongest (negative) state of approximately -0.10&#xa0;m on December 14, and occupies nearly the entire width of the DSC (&#x223c; 250&#xa0;km), with currents of roughly 30&#xa0;cm s<sup>&#x2212;1</sup> (<xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8D</bold></xref>). At this time, the pycnocline has shoaled along the transect <italic>XO</italic>, and the cyclonic currents exhibit a nearly barotropic structure (<xref ref-type="fig" rid="f9"><bold>Figure&#xa0;9D</bold></xref>). Within the next 8&#x2013;16 days, the trough steepens and pinches off a large upper eddy. From an assessment of <xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8</bold></xref>, the deep cyclone remains the dominant feature of the DSC until approximately March 12, for a duration of &#x223c; 3 months.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Same as <xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>, but for Case 2 from <bold>(A)</bold> November 20, 2018 to <bold>(P)</bold> March 20, 2019.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1648949-g008.tif">
<alt-text content-type="machine-generated">Sixteen maps display sea surface height and $\eta_{ref}$ in the Gulf of Mexico from November 2018 to March 2019. Each map is labeled with dates and shows colored areas indicating $\eta_{ref}$ with blue for low anomalies and red for high anomalies. Contour lines depict sea surface height. Arrows depict deep currents. The maps track changes in the pattern over time, illustrating significant deep variations on specific dates. The color scale at the top ranges from negative 0.10 meters in blue to positive 0.10 meters in red.</alt-text>
</graphic>
</fig>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Same as <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>, but for Case 2 from <bold>(A)</bold> November 20, 2018 to <bold>(D)</bold> December 14, 2018.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1648949-g009.tif">
<alt-text content-type="machine-generated">Panels display oceanographic variables over time on November 20, November 28, December 6, and December 14, 2018. Contour plots of temperature (T), salinity (S), zonal velocity (U) and meridional velocity (V) as a function of pressure. Contour lines indicate density. Temperature ranges from 10 to 30 degrees Celsius. Salinity is marked in practical salinity units (psu). Velocities are measured in meters per second (m/s). Geographical coordinates at the bottom indicate position along a west/north to east/south axis from 86.3&#xb0;W to 84.7&#xb0;W and 27.0&#xb0;N to 24.0&#xb0;N.</alt-text>
</graphic>
</fig>
<p>After this first detachment on December 30, a sequence of reattachments and detachments occurs before the final separation events on March 04 and March 12. Case 2 illustrates a sequence of baroclinic instability events. The LC has advanced far enough northward beyond the DSC that the deep eddies are not entirely constrained to the narrow channel and can propagate west (e.g. January 07 in <xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8G</bold></xref>). Moreover, meanders continue to develop with the signature of baroclinic instability, and development is enhanced by the LC encountering the sloping bottom topography of the Mississippi Fan (references will be cited in the Conclusions). In Case 2, the instability can be inferred from the DSC cyclone being vertically offset from the LC meander trough in the direction of propagation (<xref ref-type="fig" rid="f8"><bold>Figures&#xa0;8B&#x2013;D</bold></xref>). This is additionally evident in <xref ref-type="fig" rid="f9"><bold>Figure&#xa0;9B</bold></xref>, where the LC meander trough, represented by the raised <italic>&#x3c3;<sub>&#x3b8;</sub></italic> contour near 85.5<sup>&#xb0;</sup>W, 25.5<sup>&#xb0;</sup>N, is behind the core of the deep cyclone (the 2000 dbar transition from negative to positive zonal <italic>u</italic> velocity at approximately 85.1<sup>&#xb0;</sup>W, 24.63<sup>&#xb0;</sup>N); this corresponds to a distance of roughly 100&#xa0;km, and from <xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8C</bold></xref>, we conclude this to be approximately a quarter of the LC propagation wavelength.</p>
<p>Case 2 illustrates a sequence of baroclinic instability events that are triggered by LC interaction with the Mississippi Fan. As the LC meanders move off the Fan, deep eddies develop and in particular deep cyclones intensify. This is evident in <xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8I</bold></xref> on January 23 near 87&#xb0;W, 27&#xb0;N. From January 23 to 31, both the northern cyclone and the DSC cyclone move southward, as the former intensifies and the LCE extends westward (<xref ref-type="fig" rid="f8"><bold>Figures&#xa0;8I, J</bold></xref>). The northernmost cyclone remains distinct from the weakening DSC cyclone, and travels clockwise following the LC (<xref ref-type="fig" rid="f8"><bold>Figures&#xa0;8K&#x2013;M</bold></xref>). By February 24, the LC has extended west of 90<sup>&#xb0;</sup>W, and pinches off a small eddy on March 4 (<xref ref-type="fig" rid="f8"><bold>Figure&#xa0;8N</bold></xref>). Over the next 16 days, the main body of the LC retracts considerably and another eddy is shed, with the separation point adjacent to the vestiges of the DSC cyclone just north of 23&#xb0;N (<xref ref-type="fig" rid="f8"><bold>Figures&#xa0;8N&#x2013;P</bold></xref>).</p>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Case 3: Deep blocking cyclone</title>
<p>On April 24 2022, the LC is extending northwest into the GoM, led at its advancing tip by a deep anticyclone centered near 85.1&#xb0;W, 24.5&#xb0;N (<xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10A</bold></xref>). Currents in the deep anticyclone intensify through April 30, particularly along both the northeast Campeche Bank slope and West Florida Shelf slope (<xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10B</bold></xref>), and by May 6, the LC has extended beyond 25&#xb0;N, with the deep and upper currents aligned vertically rather than tilted alongstream (<xref ref-type="fig" rid="f11"><bold>Figures&#xa0;11A, B</bold></xref>). Further southeast along the transect <italic>XO</italic>, currents within the deep anticyclone contribute to necking down the LC on May 6 - 18 (<xref ref-type="fig" rid="f10"><bold>Figures&#xa0;10C&#x2013;E</bold></xref>). The presence of the slight LC meander crest is evident adjacent to the West Florida Shelf slope, with deep isotherms and a band of the near-surface high salinity extending for over 150&#xa0;km, while deep currents are generally directed to the southeast (<xref ref-type="fig" rid="f11"><bold>Figure&#xa0;11A</bold></xref>). The LC continues necking down over the next 12 days, with the deep anticyclone centered on approximately 85.75&#xb0;W, 24.5&#xb0;N. As the upper LC trough recedes from the West Florida Shelf (May 18-24), an adjacent eastern deep cyclone develops between the LC and the West Florida Shelf (<xref ref-type="fig" rid="f10"><bold>Figures&#xa0;10E, F</bold></xref>). The thermocline and isopycnals are shallow and flat (<xref ref-type="fig" rid="f11"><bold>Figures&#xa0;11B&#x2013;D</bold></xref>), and on May 24, the deep cyclone extends to 25&#xb0;N, evidently widening the distance between the separated LCE and the retracting LC. On May 30, the shed eddy moves westward while the retracted LC protrudes northwest along the southern limit of the West Florida Shelf slope (<xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10G</bold></xref>), deepening the thermocline near 84.3&#xb0;W, 23.5&#xb0;N (<xref ref-type="fig" rid="f11"><bold>Figure&#xa0;11E</bold></xref>). The shed LCE continues westward as the LC retracts to a port-to-port mode, and subsequently, the DSC cyclone gradually deforms and dissipates, though the features exhibited in <xref ref-type="fig" rid="f10"><bold>Figure&#xa0;10H</bold></xref> endure for multiple weeks; in fact, the DSC cyclone lasts until early August (not shown).</p>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Same as <xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>, but for Case 3 from <bold>(A)</bold> April 24, 2022 to <bold>(I)</bold> June 12, 2022.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1648949-g010.tif">
<alt-text content-type="machine-generated">Nine maps display sea surface height and $\eta_{ref}$ in the Gulf of Mexico from April to June 2022. Each map is labeled with dates and shows colored areas indicating $\eta_{ref}$ with blue for low anomalies and red for high anomalies. Contour lines depict sea surface height. Arrows depict deep currents. The maps track changes in the pattern over time, illustrating significant deep variations on specific dates. The color scale at the top ranges from negative 0.10 meters in blue to positive 0.10 meters in red.</alt-text>
</graphic>
</fig>
<fig id="f11" position="float">
<label>Figure&#xa0;11</label>
<caption>
<p>Same as <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>, but for Case 3 from <bold>(A)</bold> May 6, 2022 to <bold>(E)</bold> May 30, 2022.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1648949-g011.tif">
<alt-text content-type="machine-generated">Panels display oceanographic variables over time on May 6, May 12, May 18, and May 24, 2022. Contour plots of temperature (T), salinity (S), zonal velocity (U) and meridional velocity (V) as a function of pressure. Contour lines indicate density. Temperature ranges from 10 to 30 degrees Celsius. Salinity is marked in practical salinity units (psu). Velocities are measured in meters per second (m/s). Geographical coordinates at the bottom indicate position along a west/north to east/south axis from 85.2&#xb0;W to 84.5&#xb0;W and 25.5&#xb0;N to 23.5&#xb0;N.</alt-text>
</graphic>
</fig>
<p>In Case 3, the LC leans toward the western (Campeche Bank) wall, similar to Case 1, but here because the LC does not extend northwestward beyond the Campeche Bank, the induced deep eddies are laterally constrained by the DSC boundaries. As the leading edge of the LC extends northward, an anticyclone develops in place, blocked by the (Campeche) wall to its west. During May 12-18, 2022, at the southern section of that anticyclone, the deep flow crossing toward the deeper pycnocline side of the LC jet produces cyclonic vorticity entering and intensifying the upper trough. A deep cyclone grows from May 18&#x2013;30 in accordance with the stretching lower layer as the LC recedes from the Florida Slope. A LCE has separated far enough north, overcoming the narrow DSC constraints, and is able to propagate around the northern Campeche Bank and move to the west. The nearly flat abyssal plain within the DSC south of 25<sup>&#xb0;</sup>N appears to be a favorable location for deep cyclones, which evidently persist for 1 month or more. As demonstrated by Case 3, we suggest this is because as the lower layer stretches in the wake of a departing LCE, the potential vorticity anomaly increases, favoring cyclonic circulation (<xref ref-type="bibr" rid="B10">Furey et&#xa0;al., 2018</xref>), as is evident in the wake-like cyclone of this case (<xref ref-type="fig" rid="f10"><bold>Figures&#xa0;10F, G</bold></xref>).</p>
</sec>
<sec id="s4_4">
<label>4.4</label>
<title>Case 4: LC meander shifts away from the West Florida Shelf</title>
<p>On February 2, 2021, the LC is extended to approximately 25&#xb0;N, 86.5&#xb0;W, with a deep anticyclone beneath its leading edge (<xref ref-type="fig" rid="f12"><bold>Figure&#xa0;12A</bold></xref>). The western inflowing edge of the LC follows along the upper weakly sloped section of the Campeche Bank, while the features of interest occur along the eastern LC edge that flows southeastward. From February 13&#x2013;25 the deep anticyclone currents are nearly 20&#xa0;cm s<sup>&#x2212;1</sup> (<xref ref-type="fig" rid="f12"><bold>Figure&#xa0;12B</bold></xref>), and are located to help extend the LC crest farther while drawing its eastern edge narrower, which develops a weak low pressure band all along the West Florida Shelf slope (<xref ref-type="fig" rid="f12"><bold>Figures&#xa0;12B, C</bold></xref>). By March 08, the LC crest and the deep anticyclone centered near 25&#xb0;N grow more dominant. A meander crest develops from March 14&#x2013;20 on the northeast toward the West Florida Shelf slope near 25.5&#xb0;N, 85&#xb0;W (<xref ref-type="fig" rid="f12"><bold>Figures&#xa0;12E, F</bold></xref>) together with a leading deep anticyclone in the pattern characteristic of baroclinic instability. On March 20, the LC meander crest extends eastward to the steep West Florida Shelf slope, and along 24&#xb0;N the deep currents produce westward (cross-frontal) and upward stretching cyclonic vorticity in the upper currents as the LC trough intensifies and necks down (<xref ref-type="fig" rid="f12"><bold>Figures&#xa0;12F, G</bold></xref>). Correspondingly along the <italic>XO</italic> transect during this March 14, 20, and 26 time interval, the thermocline along the West Florida Shelf slope deepens, with deeper isopycnals through 85.08&#xb0;W, 25&#xb0;N (<xref ref-type="fig" rid="f13"><bold>Figure&#xa0;13</bold></xref>). The near-surface salinity maximum extends laterally along the West Florida Shelf slope for over 100&#xa0;km (<xref ref-type="fig" rid="f13"><bold>Figure&#xa0;13B</bold></xref>), and the panels of eastward flow indicate the characteristic tilted pattern of baroclinic instability with the deep field leading the upper flow. On March 26, the LC crest propagates southward in the DSC, along with the SUW salinity maximum and dipping isopycnals (<xref ref-type="fig" rid="f13"><bold>Figure&#xa0;13C</bold></xref>), while a deep cyclone lagged by an upper trough jointly develop <italic>behind</italic> the steep crest (<xref ref-type="fig" rid="f12"><bold>Figure&#xa0;12G</bold></xref>). By April 1, the LC has shed an eddy, which is large enough that around its periphery a meander crest and trough propagate while developing a deep cyclone near 24&#xb0;N, 85.3&#xb0;W during April 1-7. The strong deep currents of &#x223c;20 cm s<sup>&#x2212;1</sup> tend to push the LCE away northwestward and the retreating LC southeastward toward a port-to-port mode.</p>
<fig id="f12" position="float">
<label>Figure&#xa0;12</label>
<caption>
<p>Same as <xref ref-type="fig" rid="f6"><bold>Figure&#xa0;6</bold></xref>, but for Case 4. Note the variable time increments between <bold>(A&#x2013;D)</bold> compared with <bold>(E&#x2013;I)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1648949-g012.tif">
<alt-text content-type="machine-generated">Nine maps display sea surface height and $\eta_{ref}$ in the Gulf of Mexico from February to April 2021. Each map is labeled with dates and shows colored areas indicating $\eta_{ref}$ with blue for low anomalies and red for high anomalies. Contour lines depict sea surface height. Arrows depict deep currents. The maps track changes in the pattern over time, illustrating significant deep variations on specific dates. The color scale at the top ranges from negative 0.10 meters in blue to positive 0.10 meters in red.</alt-text>
</graphic>
</fig>
<fig id="f13" position="float">
<label>Figure&#xa0;13</label>
<caption>
<p>Same as <xref ref-type="fig" rid="f7"><bold>Figure&#xa0;7</bold></xref>, but for Case 4 from <bold>(A)</bold> March 14, 2021 to <bold>(D)</bold> April 1, 2021.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1648949-g013.tif">
<alt-text content-type="machine-generated">Panels display oceanographic variables over time on March 14, March 20, March 26, and April 1, 2021. Contour plots of temperature (T), salinity (S), zonal velocity (U) and meridional velocity (V) as a function of pressure. Contour lines indicate density. Temperature ranges from 10 to 30 degrees Celsius. Salinity is marked in practical salinity units (psu). Velocities are measured in meters per second (m/s). Geographical coordinates at the bottom indicate position along an east/north to west/south axis from 85.0&#xb0;W to 85.2&#xb0;W and 25.8&#xb0;N to 23.5&#xb0;N.</alt-text>
</graphic>
</fig>
<p>Similar to Cases 2 and 3, in Case 4 the LC leans to the western DSC wall, but the LC extends to an intermediate latitude. The short extension in Case 3 constrained the size of the upper and deep eddies between the lateral walls and resulted in separating a small LCE. The longer extension in Case 2 was far enough to interact with the Mississippi Fan, and the LCE that separated was large enough that meanders propagated around its edge. Case 3 had a small diameter LCE, as did Case 1, which also separated within the narrow channel. For the constrained Cases 1 and 3, their small LCEs translated cleanly away from the north end of the LC. Their LCE diameters were too small to allow peripheral meanders to attach to the LC. Alternatively, in Cases 2 and 4, the upper LCE that formed was less constrained by the narrow DSC boundaries. These LCEs were large enough to develop meanders such that crests on the LC and LCE could interact. For Case 4 the deep cyclone in the DSC facilitated final separation between the LCE and LC.</p>
</sec>
</sec>
<sec id="s5" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>In this study, four cases are chosen from a relatively high-resolution NCOM 6-year free run to illustrate strong interactions between the advancing and meandering upper LC and deep eddies. These six model years highlight four southern separation events. The deep cyclones are a persistent feature northwest of the Yucat&#xe1;n Strait inflow in the deep southeastern basin between the Campeche Slope and Florida Slope, which we refer to as the Deep Southeast Channel (DSC). Four cases where LC eddy shedding occurs illustrate important interactions between variability in the upper baroclinic jet and deep eddies whose reference currents are nearly depth-independent throughout the water column. When a LC meander trough recedes from the steep DSC walls, the water column is stretched by the sloped LC pycnocline. The DSC side-walls (the Campeche Slope to the west and the Florida Slope to the east) constrain the deep eddies from translating laterally, allowing these deep features to exhibit a persisting influence upon the upper LC. Indeed, RAFOS and APEX profiling float observations have reported deep mean cyclonic circulation in the DSC (<xref ref-type="bibr" rid="B39">P&#xe9;rez-Brunius et&#xa0;al., 2018</xref>), and the model results demonstrate that a deep mesoscale eddy with nearly depth-independent structure below &#x223c;1200 m spans most of the channel width. The relatively few observations available from the DSC show it is a favorable location for deep cyclones.</p>
<p>The importance of LC interaction with topography has long been recognized, with particular attention to the northern Campeche Bank, the Mississippi Fan, and the West Florida Shelf (e.g. <xref ref-type="bibr" rid="B20">Hurlburt and Thompson, 1982</xref>; <xref ref-type="bibr" rid="B3">Ch&#xe9;rubin et&#xa0;al., 2006</xref>; <xref ref-type="bibr" rid="B26">Le H&#xe9;naff et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B35">Nickerson et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B11">Ge et&#xa0;al., 2025</xref>). As the LC flows northward off the Campeche Bank, small meanders form and deepen, coupled with deep perturbations that intensify through vortex stretching (<xref ref-type="bibr" rid="B20">Hurlburt and Thompson, 1982</xref>; <xref ref-type="bibr" rid="B3">Ch&#xe9;rubin et&#xa0;al., 2006</xref>). At the Mississippi Fan, squashing and re-stretching processes occur, again coupling deep eddies with upper-ocean meanders (<xref ref-type="bibr" rid="B26">Le H&#xe9;naff et&#xa0;al., 2014</xref>). <xref ref-type="bibr" rid="B28">Liu et&#xa0;al. (2016)</xref> identified a &#x201c;pressure point&#x201d; along the West Florida Shelf near the Dry Tortugas, where contact between the LC and the shallow shelf acts to anchor the current. As long as the LC remains in contact with the shelf at this location, it cannot progress further into the Gulf. <xref ref-type="bibr" rid="B38">Olvera-Prado et&#xa0;al. (2023)</xref> also focus on the importance of upper-deep coupling in the steep regions of eastern GOM, particularly the West Florida Slope. <xref ref-type="bibr" rid="B51">Yang et&#xa0;al. (2020)</xref> use a multi-scale eddy-mean energetics analysis to demonstrate upper-deep joint development in the deep eastern Gulf where they show a baroclinic energy transfer from mean to eddy fields. This current paper presents another instance of LC&#x2013;topography interaction in a region that has been largely overlooked, yet it appears to play a significant role in the eddy shedding cycle.</p>
<p>In this free-running realistic model the deep cyclones develop frequently, dominate the local circulation, persist for several weeks, and can facilitate the separation of LCEs. Therefore, we suggest the DSC as a suitable location for near real time observations of the deep flow, using Lagrangian and moored methods, to be assimilated into forecasting models. The central pressure low of the deep cyclone is difficult to detect via satellite and upper-ocean observations, but APEX floats tend to recirculate within this region, and some remain for months. The water velocity at the &#x223c;1500 m float parking depth can be estimated from lateral offsets between successive vertical profiles, and the time-varying deep field could be mapped from a suitable set of floats. Additionally, because the location of cyclone development appears to be so consistent, deep current moorings, bottom pressure sensors, or CPIES, could be placed at a small number of sites to help map the deep flow, and their data could be harvested and relayed ashore by satellite.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The entire 6-year NCOM model output is being hosted by the Gulf of Mexico Research Initiative Information and Data Cooperative (GRIIDC) repository, and is available at <uri xlink:href="https://doi.org/10.7266/75hv8v6s">https://doi.org/10.7266/75hv8v6s</uri>.</p></sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>AS: Validation, Methodology, Writing &#x2013; review &amp; editing, Visualization, Investigation, Data curation, Software, Writing &#x2013; original draft, Formal analysis, Conceptualization. KD: Writing &#x2013; original draft, Resources, Methodology, Formal analysis, Investigation, Conceptualization, Project administration, Funding acquisition, Writing &#x2013; review &amp; editing, Supervision. CR: Writing &#x2013; review &amp; editing, Resources, Project administration, Supervision, Methodology, Data curation, Software. PT: Software, Supervision, Resources, Writing &#x2013; review &amp; editing, Data curation, Methodology. DW: Funding acquisition, Project administration, Writing &#x2013; review &amp; editing, Supervision, Formal analysis, Resources, Writing &#x2013; original draft, Methodology, Conceptualization, Investigation.</p></sec>
<ack>
<title>Acknowledgments</title>
<p>We thank Karen Tracey, Maureen Kennelly and Alexis Johnson Exley for technical assistance and Steve Morey for discussions regarding numerical modeling. Justin Cooke and Andrew Wyatt Smith provided helpful comments which improved the manuscript. The Authors are grateful to the two Reviewers for their insightful comments, which helped improve the quality of this manuscript.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
<sec id="s10" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If&#xa0;you identify any issues, please contact us.</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&#xa0;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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<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/553481">Laurent Marcel Cherubin</ext-link>, Florida Atlantic University, United States</p></fn>
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