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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2023.1210969</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>Connectivity between white shark populations off Central California, USA and Guadalupe Island, Mexico</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Kanive</surname>
<given-names>Paul E.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/200374"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Rotella</surname>
<given-names>Jay J.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/222693"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chapple</surname>
<given-names>Taylor K.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Anderson</surname>
<given-names>Scot D.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Hoyos-Padilla</surname>
<given-names>Mauricio</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2256768"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Klimley</surname>
<given-names>Abbott Peter</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1165798"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Galv&#xe1;n-Maga&#xf1;a</surname>
<given-names>Felipe</given-names>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/646045"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Andrzejaczek</surname>
<given-names>Samantha</given-names>
</name>
<xref ref-type="aff" rid="aff9">
<sup>9</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/632899"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Block</surname>
<given-names>Barbara A.</given-names>
</name>
<xref ref-type="aff" rid="aff9">
<sup>9</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/8715"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jorgensen</surname>
<given-names>Salvador J.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff10">
<sup>10</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Depatment of Ecology, Montana State University</institution>, <addr-line>Bozeman, MT</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>California White Shark Project</institution>, <addr-line>Inverness, CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Monterey Bay Aquarium</institution>, <addr-line>Monterey, CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Coastal Oregon Marine Experiment Station, Oregon State University</institution>, <addr-line>Newport, OR</addr-line>, <country>United States</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Pelagios-Kakunj&#xe1;</institution>, <addr-line>La Paz, BCS</addr-line>, <country>Mexico</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Fins Attached</institution>, <addr-line>Colorado Springs, CO</addr-line>, <country>United States</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>Department of Wildlife, Fish, and Conservation Biology, University of California</institution>, <addr-line>Davis, CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff8">
<sup>8</sup>
<institution>Instituto Polit&#xe9;cnico Nacional, Centro Interdisciplinario de Ciencias Marinas (CICIMAR)</institution>, <addr-line>La Paz, BCS</addr-line>, <country>Mexico</country>
</aff>
<aff id="aff9">
<sup>9</sup>
<institution>Department of Biology, Hopkins Marine Station, Stanford University</institution>, <addr-line>Pacific Grove, CA</addr-line>, <country>United States</country>
</aff>
<aff id="aff10">
<sup>10</sup>
<institution>Department of Marine Science, California State University</institution>, <addr-line>Monterey Bay, CA</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Elizabeth Grace Tunka Bengil, University of Kyrenia, Cyprus</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Luis Cardona, University of Barcelona, Spain; Michael Domeier, Marine Conservation Science Institute (MCSI), United States</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Paul E. Kanive, <email xlink:href="mailto:paul.kanive@montana.edu">paul.kanive@montana.edu</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>14</day>
<month>07</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1210969</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>04</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>06</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Kanive, Rotella, Chapple, Anderson, Hoyos-Padilla, Klimley, Galv&#xe1;n-Maga&#xf1;a, Andrzejaczek, Block and Jorgensen</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Kanive, Rotella, Chapple, Anderson, Hoyos-Padilla, Klimley, Galv&#xe1;n-Maga&#xf1;a, Andrzejaczek, Block and Jorgensen</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>Marine animals often move beyond national borders and exclusive economic zones resulting in a need for trans-boundary management spanning multiple national jurisdictions. Highly migratory fish vulnerable to over-exploitation require protections at international level, as exploitation practices can be disparate between adjacent countries and marine jurisdictions. In this study we collaboratively conducted an analysis of white shark connectivity between two main aggregation regions with independent population assessment and legal protection programs; one off central California, USA and one off Guadalupe Island, Mexico. We acoustically tagged 326 sub-adult and adult white sharks in central California (n=210) and in Guadalupe Island (n=116) with acoustic transmitters between 2008-2019. Of the 326 tagged white sharks, 30 (9.20%) individuals were detected at both regions during the study period. We used a Bayesian implementation of logistic regression with a binomial distribution to estimate the effect of sex, maturity, and tag location to the response variable of probability of moving from one region to the other. While nearly one in ten individuals in our sample were detected in both regions over the study period, the annual rate of trans-regional movement was low (probability of movement = 0.015 yr<sup>-1</sup>, 95% credible interval = 0.002, 0.061). Sub-adults were more likely than adults to move between regions and sharks were more likely to move from Guadalupe Island to central California, however, sex, and year were not important factors influencing movement. This first estimation of demographic-specific trans-regional movement connecting US and Mexico aggregations with high seasonal site fidelity represents an important step to future international management and assessment of the northeastern Pacific white shark population as a whole.</p>
</abstract>
<kwd-group>
<kwd>white shark</kwd>
<kwd>California</kwd>
<kwd>Guadalupe Island</kwd>
<kwd>acoustic telemetry</kwd>
<kwd>movement rates</kwd>
<kwd>connectivity</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="2"/>
<equation-count count="1"/>
<ref-count count="51"/>
<page-count count="9"/>
<word-count count="4515"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Marine Biology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Informed wildlife resource use and management decisions are derived from an understanding of population structure and life-history parameters. Demarcating populations of marine animals on ocean-basin scales can be difficult due to large home ranges and inability to observe animals directly in the ocean habitat. However, advances in tagging technologies have increased our capacity to observe movements and ocean-scale migratory paths for multiple species across taxa (<xref ref-type="bibr" rid="B5">Block et&#xa0;al., 1998</xref>; <xref ref-type="bibr" rid="B6">Block et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B7">Block et&#xa0;al., 2011</xref>). These technologies have provided bounds on many highly mobile species, indicating predictable species-specific migratory pathways and high-use areas where focused sampling efforts can provide important population characteristic data.</p>
<p>The white shark (<italic>Carcharodon carcharias</italic>) is an apex marine predator with a circumglobal distribution. Tagging studies in tandem with genetic techniques provide evidence that natal philopatry is strong (<xref ref-type="bibr" rid="B27">Jorgensen et&#xa0;al., 2010</xref>), which results in discrete population structure with clearly defined population segments that have been identified in South Africa (<xref ref-type="bibr" rid="B41">Pardini et&#xa0;al., 2000</xref>), Australia-New Zealand (<xref ref-type="bibr" rid="B8">Blower et&#xa0;al., 2012</xref>), the northeast (<xref ref-type="bibr" rid="B27">Jorgensen et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B4">Bernard et&#xa0;al., 2018</xref>) and northwest Pacific Ocean (<xref ref-type="bibr" rid="B46">Tanaka et&#xa0;al., 2011</xref>), the Mediterranean Sea (<xref ref-type="bibr" rid="B24">Gubili et&#xa0;al., 2010</xref>), and the northwest Atlantic Ocean (<xref ref-type="bibr" rid="B38">O&#x2019;Leary et&#xa0;al., 2015</xref>). Within the northeastern Pacific segment, estimated to be isolated from other Pacific populations for some 200k years (<xref ref-type="bibr" rid="B27">Jorgensen et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B4">Bernard et&#xa0;al., 2018</xref>), evidence for further genetic structure is mixed. Indications of mitochondrial DNA structure between Central California, USA and Guadalupe Island, Mexico reported in one study (<xref ref-type="bibr" rid="B39">O&#xf1;ate-Gonz&#xe1;lez et&#xa0;al., 2015</xref>) run contrary to a second study which found no Mitochondrial DNA structure (<xref ref-type="bibr" rid="B44">Santana-Morales et&#xa0;al., 2020</xref>). A third transcriptome-derived microsatellite study also reported a lack of support for NEP substructure (<xref ref-type="bibr" rid="B4">Bernard et&#xa0;al., 2018</xref>) leaving the question of connectivity across the U.S. &#x2013; Mexico regions inconclusive.</p>
<p>Off the western U.S. coast, white sharks in the northeastern Pacific are thought to give birth in the Southern California Bight (area between Point Conception and San Diego). This assumption is based on incidental catches of neonate and young-of-the-year white sharks (120 -150&#xa0;cm) in near-shore waters (&lt;3 nm from shore,&lt;50&#xa0;m depth) from gill-net fisheries that target other fishes such as California Halibut (<italic>Paralichthys californicus</italic>), White Seabass (<italic>Atractoscion nobilis</italic>), and Pacific Angel Shark (<italic>Squatina californica</italic>) (<xref ref-type="bibr" rid="B33">Klimley, 1985</xref>; <xref ref-type="bibr" rid="B34">Lowe et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B35">Lyons et&#xa0;al., 2013</xref>). Just to the south in Baja, Mexico, a nursery ground has been described in Bahia Sebastian Vizcaino (<xref ref-type="bibr" rid="B40">O&#xf1;ate-Gonz&#xe1;lez et&#xa0;al., 2017</xref>). Additional nursery areas in the Gulf of California have been proposed based on the movement of large females, although captures of young-of-the-year sharks there are rare (<xref ref-type="bibr" rid="B18">Galv&#xe1;n-Maga&#xf1;a et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B15">Domeier and Nasby-Lucas, 2013</xref>) White sharks are hypothesized to spend ~three years in these nursery grounds feeding upon cephalopods, teleosts and elasmobranchs until they reach lengths of ~ 200-250&#xa0;cm. As larger juveniles and sub-adults these white sharks recruit primarily to the north of Point Conception, CA and tags along with photo ID indicates they are present in central California or to Guadalupe Island ~250 km offshore of northern Mexico, with large aggregations of pinnipeds residing in both regions (<xref ref-type="bibr" rid="B49">Weng et&#xa0;al., 2007a</xref>; <xref ref-type="bibr" rid="B40">O&#xf1;ate-Gonz&#xe1;lez et&#xa0;al., 2017</xref>).</p>
<p>Multiple tagging studies (<xref ref-type="bibr" rid="B9">Boustany et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B49">Weng et&#xa0;al., 2007a</xref>; <xref ref-type="bibr" rid="B13">Domeier and Nasby-Lucas, 2008</xref>; <xref ref-type="bibr" rid="B27">Jorgensen et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B14">Domeier and Nasby-Lucas, 2012</xref>) have provided evidence that sub-adult and adult white sharks undertake predictable seasonal migrations in the northeastern Pacific between three main focal areas: (i) North American shelf waters, (ii) the slope and offshore waters of the Hawaiian archipelago, and (iii) the offshore white shark Caf&#xe9;, located ~ 1500&#xa0;km offshore between Baja, Mexico and Hawaii, USA (<xref ref-type="bibr" rid="B49">Weng et&#xa0;al., 2007a</xref>; <xref ref-type="bibr" rid="B13">Domeier and Nasby-Lucas, 2008</xref>; <xref ref-type="bibr" rid="B27">Jorgensen et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B2">Andrzejaczek et&#xa0;al., 2022</xref>). While sharks from both coastal regions overlap in the White Shark Caf&#xe9; and Hawaii, satellite and acoustic tagged white sharks have been shown to consistently return to their respective tagging region in central California or Guadalupe Island (<xref ref-type="bibr" rid="B13">Domeier and Nasby-Lucas, 2008</xref>; <xref ref-type="bibr" rid="B27">Jorgensen et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B11">Chapple et&#xa0;al., 2016</xref>).</p>
<p>Adults from both locations predictably travel offshore and have similar timing for departure from and return to coastal areas (<xref ref-type="bibr" rid="B13">Domeier and Nasby-Lucas, 2008</xref>; <xref ref-type="bibr" rid="B27">Jorgensen et&#xa0;al., 2010</xref>). Sub-adults in Guadalupe Island, however, mostly remain coastal (<xref ref-type="bibr" rid="B26">Hoyos-Padilla et&#xa0;al., 2016</xref>), and sub-adults that do travel offshore do not appear to have offshore movements that are synchronized with seasonal departures by adults to offshore areas (<xref ref-type="bibr" rid="B12">Domeier, 2012</xref>). The onset of migratory behavior remains largely unknown for the sub-adult phase of life for white sharks in central California due to a scarcity of research on this specific transition phase. In both regions, transition of sub-adults making temporally predictable and direct migrations remains unclear but could be a cumulative experience of annual attempts to hone in on an efficient migratory pattern.</p>
<p>Prior to recruitment at adult aggregating sites, tagging indicates that some juvenile white sharks seasonally migrate back and forth between Vizcaino Bay, Mexico and Southern to central California (<xref ref-type="bibr" rid="B49">Weng et&#xa0;al., 2007a</xref>; <xref ref-type="bibr" rid="B3">Benson et&#xa0;al., 2018</xref>). Additionally, five acoustically tagged sub-adult sharks were detected in both central California and Guadalupe Island (<xref ref-type="bibr" rid="B28">Jorgensen et&#xa0;al., 2012a</xref>; <xref ref-type="bibr" rid="B26">Hoyos-Padilla et&#xa0;al., 2016</xref>). To date, a comprehensive analysis of tagging data has been lacking across both regions to quantify the extent of the connectivity, its frequency, and the potential demographic factors (e.g. sex, year, size).</p>
<p>To date, assessments of the NEP white shark population have been conducted separately for central California (<xref ref-type="bibr" rid="B10">Chapple et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B32">Kanive et&#xa0;al., 2021</xref>) and Guadalupe Island (<xref ref-type="bibr" rid="B45">Sosa-Nishizaki et&#xa0;al., 2012</xref>). To date, assessments of the entire NEP segment, along with the potential for source/sink or rescue effects between these two regions remains an important conservation goal. Estimating abundance for the combined northeastern Pacific region could be artificially inflated if individuals use both regions and were counted twice. Therefore, it is important to accurately define annual rates of overlap between both regions to accurately quantify multi-regional population parameters.</p>
<p>Quantifying the connectivity between these two transboundary regions needs to be considered when making informed management decisions about the overall regional population size. Additionally, jurisdictional differences between Mexico and the US are important to consider in monitoring the population structure and trajectory of this protected species. In this study, we conducted a comprehensive analysis of acoustic tagging data collected over 12 years of two populations that bound international waters. Through collaboration between several research groups using parallel tagging methods and technology, we quantify movement between these two important aggregations in USA and Mexico and explore demographic-specific migration rates and drivers of movement for sub-adult and adult white sharks.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study area and tagging methods</title>
<p>From 2008 to 2018, we acoustically tagged sharks at known sub-adult and adult aggregation regions in California, USA (Southeast Farallon Island, A&#xf1;o Nuevo Island, and Tomales Point) and Guadalupe Island, Mexico (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>) during periods (September &#x2013; February) of peak coastal residency (<xref ref-type="bibr" rid="B33">Klimley, 1985</xref>; <xref ref-type="bibr" rid="B27">Jorgensen et&#xa0;al., 2010</xref>). White sharks were attracted to a research boat using a seal decoy, and motivated to circle the boat with a small (&lt;2kg) piece of salvaged marine mammal blubber tethered against the boat at the water line (<xref ref-type="bibr" rid="B30">Kanive et&#xa0;al., 2015</xref>) in central California. In Guadalupe Island similar techniques are used but the attraction is a whole yellowfin tuna or portions of the fish. Individual sharks were identified from photo and video images of the natural and unique patterns on the trailing edge of their dorsal fin as fin morphological patterns have been validated for stability over periods exceeding 25 years (<xref ref-type="bibr" rid="B1">Anderson et&#xa0;al., 2011</xref>). Total lengths of the sharks were estimated from one to three experienced researchers using the known length of the research vessel as a reference measurement as the shark swam close to the vessel. If there was a disparity in an estimate of the total length among the researchers, the mean was used as the estimate. Maturity was assigned based on published values where adult males &#x2265; 380cm total length (TL), sub-adult males &lt; 380cm TL, adult females &#x2265; 440cm TL, and sub-adult females &lt; 440cm  TL (<xref ref-type="bibr" rid="B16">Francis, 1996</xref>; <xref ref-type="bibr" rid="B42">Pratt, 1996</xref>). Sex was determined by the presence (male) or absence (female) of claspers.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Map of the Northeast Pacific that includes the seasonal coastal aggregation sites of white sharks off central California, USA (yellow) and Guadalupe Island, Mexico (red). Circles represent coastal/island aggregation sites. Triangles indicate receiver locations at each study site.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1210969-g001.tif"/>
</fig>
<p>Free-swimming sharks were tagged with individually coded acoustic transmitter tags (V16-4H; and V16-6H; Innova Sea, Inc formerly Vemco, Halifax, Nova Scotia) in central California using a 59&#xa0;mm titanium dart with an 18-20&#xa0;cm 136&#xa0;kg test monofilament leader protected by hollow braided Dacron and shrink-wrap (<xref ref-type="bibr" rid="B27">Jorgensen et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B51">Wilson et&#xa0;al., 2015</xref>). The darts were inserted into the dorsal musculature using a tagging pole (<xref ref-type="bibr" rid="B9">Boustany et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B49">Weng et&#xa0;al., 2007a</xref>) as the shark swam by the research vessel. In Guadalupe Island, sharks were tagged with individually coded acoustic transmitter tags (V16-4H; Vemco, Halifax, Nova Scotia) using a stainless steel dart and a steel leader with shrink-wrap.</p>
<p>Acoustic receivers (Vemco; VR-2, VR-3UM, VR-4UM) were placed at known white shark aggregation sites in central California and Guadalupe Island (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). These receivers archived the acoustic detections of each shark with an individual acoustic number as they swam within ~500 m of the receiver. The data from the receivers could then be downloaded <italic>in situ</italic> (VR-3), physically retrieved (VR-2) or remotely transmitted (VR-4UM).</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>GLMM analysis</title>
<p>We modeled the probability of transitioning from one region (Guadalupe Island or central California) site to the other using logistic regression with a binomial distribution for the response variable (moved from one aggregation site [central California or Guadalupe Island] to the other) and a logit-link between the response variable and covariates of interest. We used a Bayesian approach to implement one general model that included five features that we predicted might be associated with variation in an individual&#x2019;s probability of movement. These included sex, maturity class, and the aggregation site at which it was observed at the start of the binomial trial. Because some individuals provided data for multiple binomial trials and because multiple individuals were studied within a year, we also included random effect of individual and year in our models. As the annual migratory pattern consists of an offshore phase followed by a coastal phase, our model defines a &#x2018;movement&#x2019; as either (i) a shark migrates offshore from one region and returns to the coast at the other region or (ii) a shark returned to where it departed at previous time step, then moved to the other region within the season. Individual sharks were coded as &#x2018;1&#x2019; if the shark moved or &#x2018;0&#x2019; if the shark did not move between sites in a given season. Therefore, the probability of &#x2018;moving&#x2019; to the other site at least one time in a season can be defined as:</p>
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<mml:mo>+</mml:mo>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>maturity</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>location</mml:mtext>
<mml:mo>+</mml:mo>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi>s</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mtext>ind</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>ind&#xa0;</mml:mtext>
<mml:mo>+</mml:mo>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi>s</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mtext>ear</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#xd7;</mml:mo>
<mml:mtext>year</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<p>We implemented the model in the R software (<xref ref-type="bibr" rid="B43">R Core Team, 2019</xref>) environment using the &#x2018;rstanarm&#x2019; (<xref ref-type="bibr" rid="B23">Goodrich et&#xa0;al., 2020</xref>) and &#x2018;shinystan&#x2019; (<xref ref-type="bibr" rid="B17">Gabry, 2018</xref>) packages (<xref ref-type="bibr" rid="B37">Muth et&#xa0;al., 2018</xref>). We ran four chains using diffuse priors and ran each chain for 1,000 iterations after a burn-in of 1,000 iterations was completed and discarded (<xref ref-type="bibr" rid="B20">Gelman et&#xa0;al., 1996</xref>). We used the standard priors set by &#x2018;rstanarm&#x2019;. We used normal distributions for the priors for random effects of individual and year (random effects were <italic>~N</italic>[0, <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi>s</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mtext>individual</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>] and <italic>~N</italic>[0, <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi>s</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mtext>year</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>]]). After 1,000 burn-in iterations, we ran an additional 1,000 iterations per chain, resulting in 4,000 total samples from the posterior distribution. We assessed model convergence by inspecting the trace plots and Geweke diagnostics (<xref ref-type="bibr" rid="B22">Geweke, 1991</xref>) and evaluating whether the Gelman-Rubin statistic, <inline-formula>
<mml:math display="inline" id="im3">
<mml:mover accent="true">
<mml:mi>R</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
</mml:math>
</inline-formula>, was&lt;1.1 for each monitored parameter (<xref ref-type="bibr" rid="B21">Gelman and Rubin, 1992</xref>). We evaluated how well predicted values from the fitted model corresponded with actual observations using posterior predictive checks (<xref ref-type="bibr" rid="B19">Gelman et&#xa0;al., 2000</xref>). Specifically, we evaluated how well distributions of predicted values corresponded to the mean, standard deviation, density, and 2.5% and 97.5% quantiles of the observed data. We also examined the distribution of discrepancies between predicted and observed values to evaluate whether there was evidence that some observations were not predicted well by the model.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<p>In California, from 2008 to 2018, a total of 249 tags were deployed onto 210 individual white sharks (some sharks were tagged multiple times) that ranged in estimated total length from 240&#xa0;cm to 550&#xa0;cm in total length (mean = 401.75&#xa0;cm; SD = 75.14). Of the sharks tagged, 81 were adult males, 46 were sub-adult males, 43 were adult females, and 40 were sub-adult females.</p>
<p>In Guadalupe Island, from 2008 to 2018, 122 acoustic tags were deployed onto 116 sharks that ranged in estimated total length from 200&#xa0;cm to 570&#xa0;cm in total length (mean = 374.27&#xa0;cm; SD = 80.44). Of those sharks tagged, there were 26 adult males, 33 sub-adult males, 18 adult females, and 39 sub-adult males.</p>
<p>The mean length of time that acoustic tags remained attached to a shark and had a functional battery that transmitted a signal was 572 days (SD = 508; range = 6 to 2983 days). Over the course of the study, we recorded a total of 6,190,866 detections from receivers placed at both locations in central California and Guadalupe Island. In central California, there were a total of 666,560 detections from receivers (VR-2, VR-3, and VR-4) and 5,524,306 detections from receivers (VR-2) in Guadalupe Island (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>). A summary of the number of sharks with functioning acoustic tags for each year of the study can be found in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Summary of white shark movements throughout the study period, 2008-2019.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="bottom" align="center">Year</th>
<th valign="bottom" align="center">2008</th>
<th valign="bottom" align="center">2009</th>
<th valign="bottom" align="center">2010</th>
<th valign="bottom" align="center">2011</th>
<th valign="bottom" align="center">2012</th>
<th valign="bottom" align="center">2013</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="bottom" align="center">Non-movers</td>
<td valign="bottom" align="center">55</td>
<td valign="bottom" align="center">72</td>
<td valign="bottom" align="center">72</td>
<td valign="bottom" align="center">92</td>
<td valign="bottom" align="center">92</td>
<td valign="bottom" align="center">71</td>
</tr>
<tr>
<td valign="bottom" align="center">Movers</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center">4</td>
<td valign="bottom" align="center">3</td>
<td valign="bottom" align="center">3</td>
<td valign="bottom" align="center">4</td>
<td valign="bottom" align="center">3</td>
</tr>
<tr>
<td valign="bottom" align="center">Total Tags</td>
<td valign="bottom" align="center">56</td>
<td valign="bottom" align="center">76</td>
<td valign="bottom" align="center">75</td>
<td valign="bottom" align="center">95</td>
<td valign="bottom" align="center">96</td>
<td valign="bottom" align="center">74</td>
</tr>
<tr>
<td valign="bottom" align="center">PPN. Moved</td>
<td valign="bottom" align="center">0.018</td>
<td valign="bottom" align="center">0.053</td>
<td valign="bottom" align="center">0.040</td>
<td valign="bottom" align="center">0.032</td>
<td valign="bottom" align="center">0.042</td>
<td valign="bottom" align="center">0.041</td>
</tr>
<tr>
<td valign="bottom" align="center">Year</td>
<td valign="bottom" align="center">2014</td>
<td valign="bottom" align="center">2015</td>
<td valign="bottom" align="center">2016</td>
<td valign="bottom" align="center">2017</td>
<td valign="bottom" align="center">2018</td>
<td valign="bottom" align="center">2019</td>
</tr>
<tr>
<td valign="bottom" align="center">Non-movers</td>
<td valign="bottom" align="center">70</td>
<td valign="bottom" align="center">53</td>
<td valign="bottom" align="center">35</td>
<td valign="bottom" align="center">74</td>
<td valign="bottom" align="center">55</td>
<td valign="bottom" align="center">28</td>
</tr>
<tr>
<td valign="bottom" align="center">Movers</td>
<td valign="bottom" align="center">3</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center">1</td>
<td valign="bottom" align="center">6</td>
<td valign="bottom" align="center">8</td>
<td valign="bottom" align="center">3</td>
</tr>
<tr>
<td valign="bottom" align="center">Total Tags</td>
<td valign="bottom" align="center">73</td>
<td valign="bottom" align="center">54</td>
<td valign="bottom" align="center">36</td>
<td valign="bottom" align="center">80</td>
<td valign="bottom" align="center">63</td>
<td valign="bottom" align="center">31</td>
</tr>
<tr>
<td valign="bottom" align="center">PPN. Moved</td>
<td valign="bottom" align="center">0.041</td>
<td valign="bottom" align="center">0.019</td>
<td valign="bottom" align="center">0.028</td>
<td valign="bottom" align="center">0.075</td>
<td valign="bottom" align="center">0.127</td>
<td valign="bottom" align="center">0.097</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Non-movers are the number of sharks that stayed in their respective tagging location (central California or Guadalupe Island). Movers are the number of sharks detected that have transitioned to the other location (central California or Guadalupe Island). Total tags are the number of active tags detected on receivers each year of the study. PPN moved is the proportion of tagged sharks to the total tags that either moved from central California to Guadalupe Island or Guadalupe Island to central California.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Of the 326 total sharks tagged in the study, 210 (64.42%) were tagged in central California while the other 116 (35.58%) were tagged in Guadalupe Island. Of the 326, 30 (9.20%) were detected in both locations, and 296 (90.80%) were detected only at the aggregation sites (central California or Guadalupe Island) where the tag was originally applied. Of the 30 sharks detected at both locations, 20 (66.67%) were tagged in central California and included four adult males, seven sub-adult males, two adult females, and seven sub-adult females (1.22 males for every female). The 10 (33.33%) sharks tagged in Guadalupe Island that were detected at both locations included one adult male, five sub-adult males, one adult female, and three sub-adult females (1.5 males for every female). The proportion of sharks tagged at each region was similar to the proportion of sharks that moved from each region.</p>
<p>Of the 30 sharks that moved, 20 made one move to the other region and apparently remained there for the remainder of tag function. There were eight sharks that made two movements, meaning they moved to the other region and then returned to the original location. In addition, one shark made three movements and one shark made four movements between the regions (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Detections of white sharks by class at receivers in central California, USA and Guadalupe Island, Mexico over the course of the study period. The Tag ID is the acoustic code of the tag applied to the individual shark.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1210969-g002.tif"/>
</fig>
<p>There were three sharks that made more than one transition within a season (shark 53916, 350-cm male; shark 46104, 450-cm female; shark 32539, 300-cm female). The straight-line distance from the southernmost location in central California to Guadalupe Island is ~ 950&#xa0;km. The mean length of time of within season movement between central California and Guadalupe Island ranged from 8 to 91 days (mean = 32.56 days; SD = 24.81). Therefore, the fastest minimum rate of travel was estimated to be 133 km/day at 1.31&#xa0;m/s.</p>
<sec id="s3_1">
<label>3.1</label>
<title>Model results</title>
<p>The model converged successfully, and the posterior distribution for model coefficients generated predicted values that corresponded well with features of the observed data. The model results indicated that the predicted probability of moving in between central California and Guadalupe Island (regardless of direction) was rare (<italic>&#x3b1;</italic> = -4.16; SE = 0.86; 90% credible intervals [CI] = -6.11 to -2.72). The model indicated that males and females were quite similar with respect to movement probability (<italic>&#x3b2;<sub>s</sub>
</italic> = 0.15; SE = 0.63; 90% CI = -1.15 to 1.37). Adults were less likely to move than sub-adults (<italic>&#x3b2;<sub>m</sub>
</italic> = -2.10; SE = 0.71; 90% CI = -3.63 to -0.79), and sharks were similar in movement probability given their starting location (<italic>&#x3b2;<sub>l</sub>
</italic> = 0.55; SE = 0.51; CI = -1.54 to 0.47). The estimated variance term for the random effect for individual sharks was larger (<inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi>s</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mtext>ind</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> = 7.65; 90% credible intervals = 2.68 to 16.67) than the random effect for years (<inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:msubsup>
<mml:mover accent="true">
<mml:mi>s</mml:mi>
<mml:mo>^</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mtext>year</mml:mtext>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> = 0.12; CI = 0.00 to 0.64). As only 30 of the 326 sharks in this 12-year study moved to the other region, accordingly, the individual random effect-outcomes predicted for all but those 30 sharks were small and below 0, whereas the remaining 30 tended to be small and positive with only a very few sharks predicted to have positive random effects that notably increased their probability of movement. Predicted probabilities of moving between central California and Guadalupe Island for each of the 30 individuals that moved averaged 0.39 (SE = 0.22), whereas movement probabilities for the other individuals averaged&lt;0.02 (SE = 0.05).</p>
<p>While all demographics from both locations moved to the other location at some point during the study period, the sub-adult demographic from both central California and Guadalupe Island had the higher probabilities of movement to the other location (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). For sub-adults, these probabilities ranged from 0.073 (90% CI = 0.000 to 0.25) to 0.155 (90% CI = 0.000 to 0.405) compared to the lower probabilities of movement for the adult demographic that ranged from 0.017 (90% CI = 0.000 to 0.088) to 0.031 (90% CI = 0.000 to 0.141). Interestingly, sub-adult males tagged in Guadalupe Island had the highest probability of moving 0.155 (90% CI = 0.000 to 0.779) and the adult males tagged in Guadalupe Island had the lowest probability of moving 0.006 (90% CI = 0.000 to 0.080).</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Summary of results from the GLMM analysis of movement probabilities for each demographic at central California, USA and Guadalupe Island, Mexico.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Group by Location</th>
<th valign="top" align="center">#Annual<break/>Transitions</th>
<th valign="top" align="center">#Moved</th>
<th valign="top" align="center">Prop. Moved</th>
<th valign="top" align="center">Mean Prob. of Moving</th>
<th valign="top" align="center">SD</th>
<th valign="top" colspan="2" align="center">90%<break/>Credible Intervals</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">GI SAF</td>
<td valign="top" align="center">71</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">0.070</td>
<td valign="top" align="center">0.087</td>
<td valign="top" align="center">0.113</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.320</td>
</tr>
<tr>
<td valign="top" align="left">GI SAM</td>
<td valign="top" align="center">59</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">0.169</td>
<td valign="top" align="center">0.154</td>
<td valign="top" align="center">0.128</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.405</td>
</tr>
<tr>
<td valign="top" align="left">GI AF</td>
<td valign="top" align="center">42</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.048</td>
<td valign="top" align="center">0.028</td>
<td valign="top" align="center">0.052</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.132</td>
</tr>
<tr>
<td valign="top" align="left">GI AM</td>
<td valign="top" align="center">47</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">0.021</td>
<td valign="top" align="center">0.031</td>
<td valign="top" align="center">0.055</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.141</td>
</tr>
<tr>
<td valign="top" align="left">CC SAF</td>
<td valign="top" align="center">101</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">0.079</td>
<td valign="top" align="center">0.073</td>
<td valign="top" align="center">0.091</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.251</td>
</tr>
<tr>
<td valign="top" align="left">CC SAM</td>
<td valign="top" align="center">131</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">0.084</td>
<td valign="top" align="center">0.084</td>
<td valign="top" align="center">0.086</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.253</td>
</tr>
<tr>
<td valign="top" align="left">CC AF</td>
<td valign="top" align="center">97</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">0.021</td>
<td valign="top" align="center">0.024</td>
<td valign="top" align="center">0.046</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.110</td>
</tr>
<tr>
<td valign="top" align="left">CC AM</td>
<td valign="top" align="center">262</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">0.015</td>
<td valign="top" align="center">0.017</td>
<td valign="top" align="center">0.036</td>
<td valign="top" align="center">0.000</td>
<td valign="top" align="center">0.088</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>SAF, sub-adult female; SAM, sub-adult male; AF, adult female; AM, adult male.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>The purpose of this study was to better understand the connectivity and movement of sub-adult and adult white sharks between the two main aggregations that comprise the northeastern Pacific population. Our results indicate that the majority of sharks have high annual fidelity to their respective foraging aggregation site where they were first tagged. Over the 12-year study, ~10% of sharks utilized both aggregation sites, yet the overall probability of movement was relatively low. Understanding the rate of exchange will be important to inform how to best integrate mark-recapture data from each site and an help understand ambiguity and genetic structure.</p>
<p>Individuals from all classes (male and female sub-adult and adults) were shown to have moved to the other location from where they were tagged. Sub-adult sharks were more likely than adults to be using or exploiting both aggregation sites. These results are consistent with previous studies that have found sub-adult sharks visiting both major aggregations (<xref ref-type="bibr" rid="B28">Jorgensen et&#xa0;al., 2012a</xref>; <xref ref-type="bibr" rid="B26">Hoyos-Padilla et&#xa0;al., 2016</xref>). Sub-adult connectivity has also been hypothesized to be a source of genetic mixing between the two aggregations (<xref ref-type="bibr" rid="B12">Domeier, 2012</xref>). In this study, however, we also detected eight adult white sharks (five male, three female) making transregional movements, a first for this population and a finding that puts aside an early hypothesis that only sub-adults move between the regions (<xref ref-type="bibr" rid="B12">Domeier, 2012</xref>). The mechanisms driving a small number of individual sharks to exploit both areas remain unknown, but could be associated with low prey availability and/or high density of white sharks at a respective aggregation area leading to increased intraspecific competition.</p>
<p>Mating locations and dynamics in the NEP have not been confirmed and thus the potential population-level implications for these movements detected by tagging remain unknown. Mating likely occurs at either coastal locations (<xref ref-type="bibr" rid="B12">Domeier, 2012</xref>; <xref ref-type="bibr" rid="B14">Domeier and Nasby-Lucas, 2012</xref>; <xref ref-type="bibr" rid="B15">Domeier and Nasby-Lucas, 2013</xref>) or in the White Shark Caf&#xe9; (<xref ref-type="bibr" rid="B29">Jorgensen et&#xa0;al., 2012b</xref>), ~1500 km between Baja, Mexico and Hawaii, USA. However, a single migrant per generation over time can be sufficient to homogenize genetic structure between two otherwise isolated populations (<xref ref-type="bibr" rid="B36">Morjan and Rieseberg, 2004</xref>; <xref ref-type="bibr" rid="B25">Hartl and Clark, 2006</xref>). During the 12-year period of this study we documented 30 individuals (of 329 tagged) moving between Guadalupe Island and central California. Therefore, this study supports the findings of <xref ref-type="bibr" rid="B4">Bernard et&#xa0;al. (2018)</xref> and <xref ref-type="bibr" rid="B44">Santana-Morales et&#xa0;al. (2020)</xref>, which detected no genetic structure (nuclear and mitochondrial DNA respectively) between these regions, rather than with those of <xref ref-type="bibr" rid="B39">O&#xf1;ate-Gonz&#xe1;lez et&#xa0;al. (2015)</xref>, which indicated significant mitochondrial DNA structure. Until future studies resolve the genetics of the population conclusively as well as the mating dynamics, the relationships between the individual trans-regional movement and overall population structure in this case remains uncertain.</p>
<p>Sub-adult white sharks are a demographic of which relatively little is known. During this life stage, white sharks undergo an ontogenetic shift in diet and habitat (<xref ref-type="bibr" rid="B48">Tricas and Mccosker, 1984</xref>) and transition to aggregations where adult white sharks are well established and have been successfully exploiting these areas for food resources (<xref ref-type="bibr" rid="B50">Weng et&#xa0;al., 2007b</xref>). There is likely intense intraspecific competition for recruiting sub-adult sharks prospecting for new resources around pinniped prey concentrations to fulfill their increased physiological demand in the colder nearshore waters. It has been shown that the smaller size classes in central California have substantially lower apparent survival rates than larger conspecifics (<xref ref-type="bibr" rid="B31">Kanive et&#xa0;al., 2019</xref>). However, since mortality is confounded with permanent emigration in apparent survival, this could mean that smaller sub-adults may fail to recruit at adult aggregating sites resulting in either mortality or emigration to secondary locations. Grievous wounds have been observed on multiple sub-adult sharks that appear to have been inflicted by a larger white shark (<xref ref-type="bibr" rid="B31">Kanive et&#xa0;al., 2019</xref>). Sub-adults could be motivated to explore other habitats if they experience such aggression while attempting to recruit at an established, predominately adult hunting ground. The results of this study where the sub-adults have the highest degree of movement support these possibilities.</p>
<p>This study provides critical information for a future estimation and assessment of the overall abundance of the northeastern Pacific that includes both groups, central California and Guadalupe Island, that to date have largely been considered separately. This study confirms connectivity between the two main aggregation of both sub-adults and adults.Consequently, simply summing independent estimates from both locations to estimate overall population characteristics would include a percentage of &#x2018;double-counted&#x2019; individuals. Furthermore, a joint method of &#x2018;marking&#x2019; or identifying individuals, such as using the long-lasting (&gt;26 years) natural and unique patterns on dorsal fins (<xref ref-type="bibr" rid="B1">Anderson et&#xa0;al., 2011</xref>) is needed to incorporate data into a mark-recapture framework, an established method to identify population vital rates (<xref ref-type="bibr" rid="B30">Kanive et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B11">Chapple et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B31">Kanive et&#xa0;al., 2019</xref>) and abundance estimates (<xref ref-type="bibr" rid="B10">Chapple et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B47">Towner et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B32">Kanive et&#xa0;al., 2021</xref>). Lastly, continued and expanded mutually beneficial collaborative efforts and shared information are needed to enable researchers to estimate robust population parameters that can be used for international management.</p>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The animal study was reviewed and approved by Montana State University Institutional Animal Care and Use Committee.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>PK, JR, SJ, MH, and TC contributed to conception and design of the study. PK, SJ, TC, SA, MH-P, FG-M, and BB tagged white sharks in the field and downloaded receivers. PK organized the database. PK and JR performed the statistical analysis. PK wrote the first draft of the manuscript. SA and AK helped with figures. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>Funding was provided by the Monterey Bay Aquarium and Stanford University.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>In the US, this work was conducted under permission from the California Department of Fish and Wildlife (SCP-2014001349), National Oceanic and Atmospheric Administration (MULTI-2014-013-A1), National Park Service (NPS-PORE-00031), Montana State University (IACUC 2015- 21), and Stanford APLAC and IACUC procedures. PK received fellowship support from the Monterey Bay Aquarium. Support for the tagging was provided by the Tagging of Pacific Pelagics program, the Moore, Packard and Monterey Bay Aquarium. We would like to thank Ron Elliott, Pat Conroy, Tom O&#x2019;leary, Tom Baty, and Shawn Rhodes for vessel support. We thank Karin Neff for her suppoort and input on visual presentation of data. We thank Mike Castleton for data management of the acoustic data and the technical assistance of the Tuna Research and Conservation Center technician team for leadering and preparing acoustic tags. Vessel operations in support of the white shark program were from Ron Elliott, Pat Conroy, Tom O&#x2019;leary, Tom Baty, Shawn Rhodes, Monterey Bay Aquarium, Friends of Hopkins Marine Station, Stanford University, Discovery Corporation, and Grady White. Ethics and tagging procedures followed an animal care protocol (Protocol number 16022, UC Davis Institutional Animal Care and Use Committee). In Mexico the authors thank Club Cantamar, Solmar V, Horizon Charters, Islander Charters and Storm for their logistical support. The research was funded by Alianza WWF-Fundacion Telmex-Telcel, Alianza WWF-Fundacion Carlos Slim, Fins Attached, International Community Foundation, Charles Annenberg Foundation and Ocean Blue Tree. FGM thanks to Instituto Politecnico Nacional for fellowships granted (COFAA, EDI). This study was conducted under permits from Secretar&#xed;a del Medio Ambiente y Recursos Naturales (SEMARNAT): OFICIO 662 NUM.SGPA/DGVS/07052/16 and OFICIO NUM.SG- 663PA/DGVS/06673/17, Comision Nacional de Areas Naturales Protegidas (OFICIO NUM.F00.DRPBCNP.-001002/2017) and Secretaria de Gobernacion (OFICIO NUM.UG/211/0491/2017).</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="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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