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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.2021.653606</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>Isotopic Tracers Suggest Limited <italic>Trans</italic>-Oceanic Movements and Regional Residency in North Pacific Blue Sharks (<italic>Prionace glauca</italic>)</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Madigan</surname> <given-names>Daniel J.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/973992/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Shipley</surname> <given-names>Oliver N.</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Carlisle</surname> <given-names>Aaron B.</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/691785/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Dewar</surname> <given-names>Heidi</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/483306/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Snodgrass</surname> <given-names>Owyn E.</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/557439/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Hussey</surname> <given-names>Nigel E.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/176879/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Integrative Biology, University of Windsor</institution>, <addr-line>Windsor, ON</addr-line>, <country>Canada</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Biology, University of New Mexico</institution>, <addr-line>Albuquerque, NM</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>School of Marine Science and Policy, University of Delaware</institution>, <addr-line>Lewes, DE</addr-line>, <country>United States</country></aff>
<aff id="aff4"><sup>4</sup><institution>Fisheries Resources Division, Southwest Fisheries Science Center, National Marine Fisheries Service (NMFS), National Oceanic and Atmospheric Administration (NOAA)</institution>, <addr-line>La Jolla, CA</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Mourier Johann, Institut de Recherche Pour le D&#x00E9;veloppement (IRD), France</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Vincent Raoult, The University of Newcastle, Australia; Mario Espinoza, Universidad Creativa de Costa Rica, Costa Rica; Boris Espinasse, UiT The Arctic University of Norway, Norway</p></fn>
<corresp id="c001">&#x002A;Correspondence: Daniel J. Madigan, <email>daniel.madigan@stonybrook.edu</email></corresp>
<fn fn-type="other" id="fn004"><p>This article was submitted to Marine Megafauna, a section of the journal Frontiers in Marine Science</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>26</day>
<month>05</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>8</volume>
<elocation-id>653606</elocation-id>
<history>
<date date-type="received">
<day>14</day>
<month>01</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>12</day>
<month>04</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2021 Madigan, Shipley, Carlisle, Dewar, Snodgrass and Hussey.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Madigan, Shipley, Carlisle, Dewar, Snodgrass and Hussey</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>Blue sharks (<italic>Prionace glauca</italic>) are globally distributed, large-bodied pelagic sharks that make extensive migrations throughout their range. In the North Pacific, mark-recapture studies have shown <italic>trans</italic>-Pacific migrations, but knowledge gaps in migration frequency hinder understanding of regional connectivity and assessments of regional demography for stock assessments. Here, we use oceanographic gradients of stable isotope ratios (i.e., regional isoscapes) to determine exchange rates of blue sharks between the East and West North Pacific Ocean (EPO and WPO). We generated regional &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N distributions for blue sharks from published values in the North Pacific (<italic>n</italic> = 180; both sexes, juveniles and adults combined). Discriminant analysis suggested low <italic>trans</italic>-Pacific exchange, categorizing all western (100%) and most eastern (95.3%) blue sharks as resident to their sampling region, with isotopic niche overlap of WPO and EPO highly distinct (0.01&#x2013;5.6% overlap). Limited <italic>trans</italic>-Pacific movements suggest that other mechanisms maintain genetic mixing of the North Pacific blue shark population. Potential finer scale movement structure was indicated by isotopic differences in sub-regions of the eastern and western Pacific, though application of mixing models are currently limited by aberrantly low blue shark &#x03B4;<sup>13</sup>C values across studies. Our results suggest that blue shark population dynamics may be effectively assessed on a regional basis (i.e., WPO and EPO). We recommend further studies to provide size- and sex-specific movement patterns based on empirical isotopic values with large sample sizes from targeted regions. Strategically applied stable isotope approaches can continue to elucidate migration dynamics of mobile marine predators, complementing traditional approaches to fisheries biology and ecology.</p>
</abstract>
<kwd-group>
<kwd>stable isotope</kwd>
<kwd>isoscape</kwd>
<kwd>pelagic ecology</kwd>
<kwd>isoclock</kwd>
<kwd>trophic ecology</kwd>
<kwd>migration</kwd>
</kwd-group>
<contract-sponsor id="cn001">Natural Sciences and Engineering Research Council of Canada<named-content content-type="fundref-id">10.13039/501100000038</named-content></contract-sponsor>
<counts>
<fig-count count="5"/>
<table-count count="2"/>
<equation-count count="3"/>
<ref-count count="99"/>
<page-count count="15"/>
<word-count count="0"/>
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</article-meta>
</front>
<body>
<sec id="S1">
<title>Introduction</title>
<p>Blue sharks (<italic>Prionace glauca</italic>) are large-bodied, highly migratory sharks with a global distribution extending throughout temperate and subtropical waters (<xref ref-type="bibr" rid="B69">Nakano and Stevens, 2008</xref>; <xref ref-type="bibr" rid="B20">Coelho et al., 2018</xref>). Blue shark populations have declined broadly, with high longline bycatch and mortality rates due to extensive overlap with commercial fisheries across much of their global range (<xref ref-type="bibr" rid="B79">Queiroz et al., 2016</xref>, <xref ref-type="bibr" rid="B78">2019</xref>). This is true for the North Atlantic (50&#x2013;79% decline over 30 years; <xref ref-type="bibr" rid="B35">ICCAT, 2015</xref>) and Mediterranean (96.5&#x2013;99.8% decline since the early 19th century; <xref ref-type="bibr" rid="B22">Ferretti et al., 2008</xref>) populations as a result of both targeted fisheries (i.e., for fins, meat, squalene) and bycatch (<xref ref-type="bibr" rid="B18">Clarke et al., 2006a</xref>, <xref ref-type="bibr" rid="B19">b</xref>; <xref ref-type="bibr" rid="B11">Carde&#x00F1;osa et al., 2020</xref>), though the North Pacific population has recently been assessed as not overfished (<xref ref-type="bibr" rid="B36">ISC, 2017</xref>). While studies have challenged model-based inferences of shark population declines (<xref ref-type="bibr" rid="B9">Burgess et al., 2005</xref>), blue sharks are the major bycatch species in high-seas fisheries regionally (<xref ref-type="bibr" rid="B59">McKinnell and Seki, 1998</xref>; <xref ref-type="bibr" rid="B23">Francis et al., 2001</xref>) and perhaps globally (<xref ref-type="bibr" rid="B19">Clarke et al., 2006b</xref>; <xref ref-type="bibr" rid="B10">Campana et al., 2009</xref>). Limited genetic structure has been observed across populations sampled from disparate oceanic regions (<xref ref-type="bibr" rid="B39">King et al., 2015</xref>; <xref ref-type="bibr" rid="B88">Taguchi et al., 2015</xref>; <xref ref-type="bibr" rid="B96">Ver&#x00ED;ssimo et al., 2017</xref>; <xref ref-type="bibr" rid="B3">Bailleul et al., 2018</xref>), though regional populations are managed separately. Mechanisms for high genetic homogeneity across global blue shark populations remain mostly speculative, mainly because studies are lacking in adequate sample sizes and sufficient demographic coverage to allow for robust conclusions to be made (<xref ref-type="bibr" rid="B96">Ver&#x00ED;ssimo et al., 2017</xref>). This limitation spans not only genetic information, but also a robust understanding of other aspects of the species&#x2019; life history, particularly movements and migrations in relation to proposed mating and parturition grounds.</p>
<p>In the North Pacific Ocean, data suggest that mature blue sharks migrate to a latitudinal band spanning &#x223C;20&#x2013;30&#x00B0;N for mating during the early summer months, with pupping typically occurring the following summer after a &#x223C;12-month gestation. Gravid females are believed to move further north to parturition grounds located in sub-arctic waters between 35 and 45&#x00B0;N (<xref ref-type="bibr" rid="B68">Nakano, 1994</xref>). Males and females typically segregate spatially prior to mating events, but some overlap between immature and mature individuals of opposite sexes can occur (<xref ref-type="bibr" rid="B58">Maxwell et al., 2019</xref>). Broadscale movements in the Pacific have been described with conventional and electronic tagging studies (<xref ref-type="bibr" rid="B67">Musyl et al., 2011</xref>; <xref ref-type="bibr" rid="B58">Maxwell et al., 2019</xref>), and although some blue sharks exhibit long-distance migrations over thousands of kilometers (<xref ref-type="bibr" rid="B58">Maxwell et al., 2019</xref>), most tracking data shows predominately latitudinal movements. However, recent conventional mark-recapture information has shown that some individuals migrate across the northern Pacific Ocean from the western Pacific Ocean (WPO) into the eastern Pacific Ocean (EPO) and vice versa (<xref ref-type="bibr" rid="B84">Sippel et al., 2011</xref>), a behavior that also has been observed in the North Atlantic (<xref ref-type="bibr" rid="B31">Howey et al., 2017</xref>). The extent of connectivity between North Pacific sub-populations (e.g., WPO and EPO), however, remains unquantified. For example, it remains unclear whether genetic mixing and homogeneity (<xref ref-type="bibr" rid="B39">King et al., 2015</xref>) is maintained by <italic>trans</italic>-Pacific migrations of juveniles or adults, or by some other mechanism such as pupping and recruitment dynamics. Thus, the proportion of blue sharks performing <italic>trans</italic>-Pacific migrations warrants investigation, as quantifying movement connectivity can clarify regional source-sink dynamics, inform spatial scales of management, and help explain the mechanisms that facilitate genetic homogeneity.</p>
<p>While electronic and conventional tagging approaches have provided useful information on blue shark movement and migration dynamics, studies are limited by high cost (for electronic tagging) and often require high sample sizes and protracted study duration to yield necessary ecological information (<xref ref-type="bibr" rid="B81">Sequeira et al., 2019</xref>). Consequently, complementary approaches are required for rapid assessment of blue shark migration and movement connectivity. Intrinsic chemical tracers measured in animal tissues, such as stable isotope (SI) ratios, are useful for reconstructing prior animal migrations (<xref ref-type="bibr" rid="B27">Graham et al., 2010</xref>; <xref ref-type="bibr" rid="B94">Trueman et al., 2019</xref>; <xref ref-type="bibr" rid="B54">Madigan et al., 2021</xref>). Stable isotope analysis (SIA)-based movement studies utilize the distinct isotopic composition of prey baselines (i.e., regional isoscapes) across oceanic sub-regions, driven by local oceanographic and biogeochemical regimes (<xref ref-type="bibr" rid="B61">McMahon et al., 2013</xref>; <xref ref-type="bibr" rid="B7">Brault et al., 2018</xref>; <xref ref-type="bibr" rid="B21">Espinasse et al., 2020</xref>). In the North Pacific Ocean, pelagic prey fields in the EPO and WPO are isotopically distinct, particularly for nitrogen isotope ratios (&#x03B4;<sup>15</sup>N) (<xref ref-type="bibr" rid="B57">Matsubayashi et al., 2020</xref>). In the EPO, upwelling of nutrient-rich water in the California Current promotes larger nitrate metabolizing primary producers such as diatoms, which creates a <sup>15</sup>N-enriched isotopic composition of regional prey (<xref ref-type="bibr" rid="B1">Altabet et al., 1999</xref>; <xref ref-type="bibr" rid="B65">Montoya, 2007</xref>; <xref ref-type="bibr" rid="B51">Madigan et al., 2012a</xref>, <xref ref-type="bibr" rid="B49">2017</xref>). Comparatively, WPO waters are nutrient-poor, which promotes dominance of nitrogen-fixing picophytoplankton at the base of the food web and lower (i.e., <sup>15</sup>N depleted) &#x03B4;<sup>15</sup>N composition of regional prey pools (<xref ref-type="bibr" rid="B89">Takai et al., 2007</xref>; <xref ref-type="bibr" rid="B24">Fujinami et al., 2018</xref>; <xref ref-type="bibr" rid="B70">Ohshimo et al., 2019</xref>).</p>
<p>Knowledge of regional isotopic baseline variation can be combined with measured predator stable isotope ratios and tissue-specific incorporation rates to identify individuals that have recently migrated from one system into another (<xref ref-type="bibr" rid="B54">Madigan et al., 2021</xref>; <xref ref-type="bibr" rid="B83">Shipley et al., 2021</xref>). Tissues of recent migrants will reflect an isotopic mix of prey baselines from the prior and current regions, provided that sampling has occurred prior to the consumer reaching isotopic steady-state with prey from their current region (<xref ref-type="bibr" rid="B28">Heady and Moore, 2013</xref>; <xref ref-type="bibr" rid="B66">Moore et al., 2016</xref>; <xref ref-type="bibr" rid="B54">Madigan et al., 2021</xref>). Residents are then defined as those individuals that are at isotopic steady-state with prey baselines in their current region (<xref ref-type="bibr" rid="B48">Madigan et al., 2014</xref>). This technique has been applied to characterize <italic>trans</italic>-Pacific migrations of Pacific bluefin tuna (<italic>Thunnus orientalis</italic>), using machine learning algorithms to define migrants vs. residents, and thus predicting the extent of mixing between WPO and EPO populations (<xref ref-type="bibr" rid="B48">Madigan et al., 2014</xref>). More recently, SIA approaches have been used to determine movement transitions across systems spanning marine, brackish, and freshwater habitats (<xref ref-type="bibr" rid="B66">Moore et al., 2016</xref>; <xref ref-type="bibr" rid="B83">Shipley et al., 2021</xref>), and have proven to be a robust and insightful approach for clarifying aspects of animal migration.</p>
<p>In the current study, we use regional &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values from sampled sharks and prey to quantify potential <italic>trans</italic>-Pacific exchange rates of blue sharks between the WPO and EPO. We use multiple analytical methods with isotopic data to examine the extent of regional residency and foraging connectivity between oceanic sub-regions. This approach provides a tracer-based assessment of habitat use that is complementary to traditional tagging approaches and provides a framework than can be adopted across other study taxa and ecosystems. Inferred movements from isotopic signatures aid in constraining the extent of blue shark movements in the North Pacific basin, clarify the migratory mechanisms that may drive a mixed genetic stock, and can inform appropriate multi-national or regional management strategies for North Pacific blue sharks.</p>
</sec>
<sec id="S2" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="S2.SS1">
<title>Data Compilation</title>
<sec id="S2.SS1.SSS1">
<title>Blue Shark SI Data</title>
<p>A literature search was performed to obtain all SI data to-date for blue sharks in the North Pacific. Based on conventional tagging data and available SI data, we categorized North Pacific data into the WPO and EPO. From all studies, mean, reported error (SD or SE), and minimum and maximum values (when reported) of blue shark &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values were tabulated. The literature search showed studies in four discrete regions of the EPO, so EPO blue sharks were further categorized into these four EPO sub-regions: Northern California Current (NCC), Southern California Bight (SCB), southern Baja (SBaja), and the eastern Tropical Pacific (ETP) (see section &#x201C;Results&#x201D;). We only used studies that accounted for lipid and urea effects on &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N through either chemical extraction or arithmetic correction and DI rinsing. While we recognize that different treatments can affect isotopic values, lipid content in most shark species is low (<xref ref-type="bibr" rid="B34">Hussey et al., 2012</xref>) and correction for urea in available data was not feasible. As a result, values were used as reported in published studies. Blue shark &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values were estimated to represent their past foraging behavior for &#x223C;0.5&#x2013;1.5 years before sampling, based on published turnover rate estimates (<xref ref-type="bibr" rid="B52">Madigan et al., 2012b</xref>) and blue shark body size ranges across published studies (<xref ref-type="bibr" rid="B92">Thomas and Crowther, 2015</xref>; <xref ref-type="bibr" rid="B95">Vander Zanden et al., 2015</xref>).</p>
</sec>
<sec id="S2.SS1.SSS2">
<title>Estimating Population-Wide Blue Shark SI Values</title>
<p>We used an iterative bootstrapping approach to resample each published &#x03B4;<sup>13</sup>C and<sup>15</sup>N data distribution (<italic>n</italic> = 5 studies) to generate estimates of population-wide blue shark SI values for each ocean region. Blue shark &#x03B4;<sup>13</sup>C and<sup>15</sup>N estimates were bootstrapped (1000&#x00D7;) by randomly sampling from mean (&#x00B1;SD) values published for each study region. This resulted in 1 &#x00D7; 10<sup>3</sup> estimates for the WPO (<italic>n</italic> = 1 study) and 4 &#x00D7; 10<sup>3</sup> estimates for the EPO (<italic>n</italic> = 4 studies), with separate, region-specific resampled populations for sub-regions of the EPO.</p>
</sec>
<sec id="S2.SS1.SSS3">
<title>Prey SI Data</title>
<p>We searched the literature for published studies reporting SI values of epi- and mesopelagic prey in the WPO and EPO, based on known regional blue shark diets of epi- and mesopelagic forage fish, cephalopods, and crustaceans (<xref ref-type="bibr" rid="B77">Preti et al., 2012</xref>; <xref ref-type="bibr" rid="B24">Fujinami et al., 2018</xref>). Across relevant studies, prey-specific &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N means (&#x00B1;SD) were tabulated for subsequent analyses. As with blue sharks above, prey values were also obtained and regional means (&#x00B1;SD) calculated for the four defined sub-regions of the EPO (NCC, SCB, SBaja, and ETP). As with blue shark data, we only used studies that accounted for lipid effects on &#x03B4;<sup>13</sup>C through chemical extraction or arithmetic correction, and values were used as they were reported in published studies.</p>
<p>Prey &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values were used to generate regional mean diet &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values in the EPO and WPO for subsequent analyses (see sections &#x201C;Discriminant Analysis&#x201D; and Isotopic Mixing Models&#x201D;). For prey data in each region, we accounted for associated error of each prey mean &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values by bootstrapping 1000 values from reported means (&#x00B1;SD) for each prey item. We then randomly selected from these prey distributions (1000&#x00D7;) to generate a mean blue shark diet value for the WPO (<italic>n</italic> = 145 prey species) and EPO (<italic>n</italic> = 75 prey species). Each prey item was weighed equally based on demonstrably broad and opportunistic blue shark diets. This resulted in 1 &#x00D7; 10<sup>3</sup> estimated mean (&#x00B1;SD) diet &#x03B4;<sup>15</sup>N values for both the WPO and EPO. We also used the above approach to generate mean &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N diet estimates in the four EPO sub-regions. Combining data from studies that span different time periods accepts potential temporal variation in isotopic baselines and consumers, but given the observed distinction between isotope values between the WPO and EPO (see section &#x201C;Results&#x201D;), we deemed it unlikely that this would significantly impact overall results.</p>
</sec>
</sec>
<sec id="S2.SS2">
<title>Data Analyses</title>
<p>Three analytical approaches were applied to blue shark and prey SI data to characterize blue shark movements (explained in detail below). Isotopic niche overlap of blue shark values was used to obtain general, quantitative metrics of likely blue shark exchange between sub-regions. We then used discriminant analysis to explicitly categorize individual shark isotope values as indicative of prior use of WPO or EPO waters. Finally, mixing models were used to estimate blue shark use of region-specific prey based on the isotopic composition of sharks and prey in each region.</p>
<sec id="S2.SS2.SSS1">
<title>Regional Variability and Overlap of Blue Shark SI Values</title>
<p>For the WPO and four EPO sub-regions (NCC, SCB, SBaja, ETP), integrated &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N niche areas (Bayesian ellipses: SEA<sub>B</sub>) were determined, generating ellipses for each sub-region that incorporate 40% of the available data (<xref ref-type="bibr" rid="B37">Jackson et al., 2011</xref>). Isotopic overlap between each sub-region was then inferred using a Bayesian approach implemented in the R package &#x201C;nicheROVER.&#x201D; Overlap estimates were generated from 1000 posterior draws based on 95% probabilistic niche regions (<xref ref-type="bibr" rid="B87">Swanson et al., 2015</xref>).</p>
</sec>
<sec id="S2.SS2.SSS2">
<title>Diet-Dependent Diet-Tissue Discrimination Factors (DTDFs)</title>
<p>Discriminant analysis and isotopic mixing models required application of blue shark &#x03B4;<sup>15</sup>N and &#x03B4;<sup>13</sup>C diet-tissue discrimination factors (DTDFs). Because trophic discrimination factors can vary due to a suite of environmental and physiological processes (<xref ref-type="bibr" rid="B34">Hussey et al., 2012</xref>; <xref ref-type="bibr" rid="B82">Shipley and Matich, 2020</xref>) and have been shown to co-vary with diet &#x03B4;<sup>15</sup>N and &#x03B4;<sup>13</sup>C values (<xref ref-type="bibr" rid="B15">Caut et al., 2009</xref>; <xref ref-type="bibr" rid="B33">Hussey et al., 2014</xref>), we calculated diet-specific DTDFs for blue sharks within each region. For each calculated prey mean, we calculated mean DTDFs from algorithms reported in two studies: (1) <xref ref-type="bibr" rid="B15">Caut et al. (2009)</xref>:</p>
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<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>-</mml:mo>
<mml:mrow>
<mml:mn>0.213</mml:mn>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">&#x03B4;</mml:mi>
<mml:mn>13</mml:mn>
</mml:msup>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mtext>C</mml:mtext>
<mml:mrow>
<mml:mtext>diet</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>-</mml:mo>
<mml:mn>2.848</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>and (2) <xref ref-type="bibr" rid="B33">Hussey et al. (2014)</xref>:</p>
<disp-formula id="S2.E3">
<label>(3)</label>
<mml:math id="M3">
<mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">&#x0394;</mml:mi>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mo>&#x2062;</mml:mo>
<mml:mpadded width="+3.3pt">
<mml:mtext>N</mml:mtext>
</mml:mpadded>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>-</mml:mo>
<mml:mrow>
<mml:mn>0.27</mml:mn>
<mml:mo>&#x2062;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">&#x03B4;</mml:mi>
<mml:mn>15</mml:mn>
</mml:msup>
<mml:mo>&#x2062;</mml:mo>
<mml:msub>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mtext>diet</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:mn>5.92</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where &#x0394;<sup>15</sup>N and &#x0394;<sup>13</sup>C represent diet-derived DTDFs for &#x03B4;<sup>15</sup>N and &#x03B4;<sup>13</sup>C, and &#x03B4;<sup>15</sup>N<sub>diet</sub> and &#x03B4;<sup>13</sup>C<sub>diet</sub> represent mean diet &#x03B4;<sup>15</sup>N and &#x03B4;<sup>13</sup>C values, respectively. For each regional diet &#x03B4;<sup>15</sup>N mean, we calculated two DTDF values following Eqs 1, 2 and used the mean of both DTDF values (i.e., estimated DTDF values from equations) for applied diet-based blue shark &#x0394;<sup>15</sup>N and &#x0394;<sup>13</sup>C values for each sub-region.</p>
</sec>
<sec id="S2.SS2.SSS3">
<title>Discriminant Analysis</title>
<p>Only &#x03B4;<sup>15</sup>N values were used in discriminant analysis due to non-differentiation of WPO and EPO &#x03B4;<sup>13</sup>C values (see sections &#x201C;Results&#x201D; and &#x201C;Discussion&#x201D;), following methods in <xref ref-type="bibr" rid="B48">Madigan et al. (2014)</xref>. We generated training data for discriminant analysis using regional prey means and regional prey-based DTDFs. Specifically, regional DTDFs were added to regional prey means to generate 1 &#x00D7; 10<sup>3</sup> estimated blue shark &#x03B4;<sup>15</sup>N values for the WPO, EPO, and EPO sub-regions. We then applied these training data to discriminant analysis of WPO and EPO blue shark &#x03B4;<sup>15</sup>N data to classify individual sharks as recent migrants or long-term (&#x2265;1 year, based on ectotherm isotopic turnover rates; <xref ref-type="bibr" rid="B92">Thomas and Crowther, 2015</xref>; <xref ref-type="bibr" rid="B95">Vander Zanden et al., 2015</xref>) residents to the region in which they were sampled. Discriminant analysis reported an error value for the classification of unknown data, which estimates the percentage of individuals that were classified incorrectly (<xref ref-type="bibr" rid="B41">Klecka, 1980</xref>).</p>
</sec>
<sec id="S2.SS2.SSS4">
<title>Isotopic Mixing Models</title>
<p>We applied isotopic mixing models to assess their efficacy for describing foraging across sub-regions in both the EPO and WPO. Bayesian isotope mixing models (R package &#x201C;simmr&#x201D;; <xref ref-type="bibr" rid="B72">Parnell, 2020</xref>) were used to estimate regional prey inputs to EPO and WPO blue sharks, providing estimates of regional connectivity. For the WPO, mixing models were run for a single blue shark population (due to <italic>n</italic> = 1 study in the WPO) and regional prey were based on reported prey values for four WPO sub-regions (Eastern Japan, Kuroshio-Oyashio, Sea of Japan, and offshore Taiwan) in <xref ref-type="bibr" rid="B50">Madigan et al. (2015)</xref>, with additional prey data from <xref ref-type="bibr" rid="B70">Ohshimo et al. (2019)</xref>. For the EPO, mixing models were run for regional blue shark populations and the pooled EPO population; regional prey endmembers were the NCC, SCB, SBaja, ETP, and the WPO. Endmember values and DTDFs were based on compilations of regional prey fields (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>&#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values (mean &#x00B1; 1 SD) of published prey items by North Pacific Ocean sub-region, and calculated diet-dependent diet-tissue discrimination factors (DTDFs; &#x0394;<sup>13</sup>C and &#x0394;<sup>15</sup>N) estimated for blue sharks (<italic>Prionace glauca</italic>).</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left">Region in North Pacific</td>
<td valign="top" align="left">Sub-regions<sup>a</sup></td>
<td valign="top" align="center">n<sup>b</sup></td>
<td valign="top" align="center">Years of collection</td>
<td valign="top" align="center">&#x03B4;<sup>13</sup>C &#x2030;</td>
<td valign="top" align="center">&#x03B4;<sup>15</sup>N &#x2030;</td>
<td valign="top" align="center">References</td>
<td valign="top" align="center" colspan="2">DTDFs &#x2030;<hr/></td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left"/>
<td valign="top" align="center"/>
<td valign="top" align="center"/>
<td/>
<td/>
<td valign="top" align="center"/>
<td valign="top" align="center">&#x0394;<sup>13</sup>C</td>
<td valign="top" align="center">&#x0394;<sup>15</sup>N</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">WPO</td>
<td valign="top" align="left">East Japan</td>
<td valign="top" align="center">11,24,7,15</td>
<td valign="top" align="center">2002&#x2013;2017</td>
<td valign="top" align="center">&#x2212;18.4 (0.8)</td>
<td valign="top" align="center">11.1 (1.2)</td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B89">Takai et al., 2007</xref><break/><xref ref-type="bibr" rid="B53">Madigan et al., 2016</xref><break/><xref ref-type="bibr" rid="B24">Fujinami et al., 2018</xref><break/><xref ref-type="bibr" rid="B70">Ohshimo et al., 2019</xref></td>
<td valign="top" align="center">1.1 (0.3)</td>
<td valign="top" align="center">2.8 (0.4)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">Kuroshio-Oyashio</td>
<td valign="top" align="center">7,22</td>
<td valign="top" align="center">1990&#x2013;2014</td>
<td valign="top" align="center">&#x2212;18.7 (0.7)</td>
<td valign="top" align="center">10.7 (1.0)</td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B53">Madigan et al., 2016</xref><break/><xref ref-type="bibr" rid="B70">Ohshimo et al., 2019</xref></td>
<td valign="top" align="center">1.1 (0.2)</td>
<td valign="top" align="center">2.9 (0.3)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">Sea of Japan</td>
<td valign="top" align="center">4,23</td>
<td valign="top" align="center">1990&#x2013;2014</td>
<td valign="top" align="center">&#x2212;17.3 (1.2)</td>
<td valign="top" align="center">11.0 (1.1)</td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B53">Madigan et al., 2016</xref><break/><xref ref-type="bibr" rid="B70">Ohshimo et al., 2019</xref></td>
<td valign="top" align="center">0.8 (0.4)</td>
<td valign="top" align="center">2.8 (0.4)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">Taiwan</td>
<td valign="top" align="center">9,21</td>
<td valign="top" align="center">1990&#x2013;2014</td>
<td valign="top" align="center">&#x2212;17.7 (0.4)</td>
<td valign="top" align="center">8.8 (1.1)</td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B53">Madigan et al., 2016</xref><break/><xref ref-type="bibr" rid="B70">Ohshimo et al., 2019</xref></td>
<td valign="top" align="center">0.9 (0.1)</td>
<td valign="top" align="center">3.4 (0.4)</td>
</tr>
<tr>
<td valign="top" align="left">EPO</td>
<td valign="top" align="left">NCC</td>
<td valign="top" align="center">27</td>
<td valign="top" align="center">2000&#x2013;2002</td>
<td valign="top" align="center">&#x2212;18.6 (1.2)</td>
<td valign="top" align="center">13.5 (1.5)</td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B63">Miller et al., 2013</xref></td>
<td valign="top" align="center">1.1 (0.4)</td>
<td valign="top" align="center">2.1 (0.5)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">SCB</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">2007&#x2013;2010</td>
<td valign="top" align="center">&#x2212;19.0 (0.6)</td>
<td valign="top" align="center">14.1 (0.8)</td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B51">Madigan et al., 2012a</xref></td>
<td valign="top" align="center">1.2 (0.2)</td>
<td valign="top" align="center">1.9 (0.3)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">SBaja</td>
<td valign="top" align="center">6 13</td>
<td valign="top" align="center">2001&#x2013;2006,<break/>2015&#x2013;2016</td>
<td valign="top" align="center">&#x2212;17.7 (1.4)</td>
<td valign="top" align="center">15 (2.8)</td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B29">Hern&#x00E1;ndez-Aguilar et al., 2015</xref><break/><xref ref-type="bibr" rid="B90">Tamburin et al., 2019</xref></td>
<td valign="top" align="center">0.9 (0.5)</td>
<td valign="top" align="center">1.7 (0.9)</td>
</tr>
<tr>
<td valign="top" align="left"/>
<td valign="top" align="left">ETP</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">2009&#x2013;2011</td>
<td valign="top" align="center">&#x2212;17.7 (0.8)</td>
<td valign="top" align="center">7.2 (1.4)</td>
<td valign="top" align="center"><xref ref-type="bibr" rid="B17">Choy et al., 2015</xref></td>
<td valign="top" align="center">0.9 (0.3)</td>
<td valign="top" align="center">3.9 (0.5)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<attrib><italic>DTDFs were calculated from each region&#x2019;s mean &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values, based on published diet-based estimates for ectothermic fish (<xref ref-type="bibr" rid="B15">Caut et al., 2009</xref>; <xref ref-type="bibr" rid="B33">Hussey et al., 2014</xref>).</italic></attrib>
<attrib><italic><sup>a</sup>WPO: Western Pacific Ocean; EPO: Eastern Pacific Ocean; NCC: Northern California Current; SCB: Southern California Bight; SBaja: Southern Baja; ETP: Eastern Tropical Pacific.</italic></attrib>
<attrib><italic><sup>b</sup>Sample size refers to n means reported in studies for a species/prey group, not individual samples within studies.</italic></attrib>
</table-wrap-foot>
</table-wrap>
<p>We estimated the accuracy of regional endmembers (<italic>n</italic> = 4 for WPO, <italic>n</italic> = 5 for EPO) by simulating 10,000 prey mixing polygons (<xref ref-type="bibr" rid="B86">Smith et al., 2013</xref>) and quantifying the probability of each individual consumer falling outside of the 95% prey mixing space. A relatively high proportion of blue sharks had &#x003E;95% probability of falling outside the mixing space due to low &#x03B4;<sup>13</sup>C values (see section &#x201C;Results&#x201D;), as has been observed in other studies (<xref ref-type="bibr" rid="B80">Rabehagasoa et al., 2012</xref>; <xref ref-type="bibr" rid="B43">Li et al., 2014</xref>; <xref ref-type="bibr" rid="B40">Kiszka et al., 2015</xref>). We consequently evaluated the two-isotope mixing model results to assess the effects of potential bias toward low &#x03B4;<sup>13</sup>C diet inputs. We also performed a single isotope (&#x03B4;<sup>15</sup>N only) mixing model for both the WPO and EPO to compare to the two-isotope model results. The probable contributions of regional prey endmembers to blue shark diet were inferred from 10,000 model iterations, with a burn-in period of 1000 and a thinning interval of 100. Model convergence was evaluated based on inspection of Gelman-Rubin diagnostics, where values for each parameter should equal &#x223C;1.0 (<xref ref-type="bibr" rid="B74">Phillips et al., 2014</xref>; <xref ref-type="bibr" rid="B72">Parnell, 2020</xref>).</p>
</sec>
</sec>
</sec>
<sec id="S3">
<title>Results</title>
<sec id="S3.SS1">
<title>Data Compilation</title>
<sec id="S3.SS1.SSS1">
<title>Blue Shark SI Data</title>
<p>We obtained &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values for blue shark muscle from one WPO study (<xref ref-type="bibr" rid="B24">Fujinami et al., 2018</xref>) (total <italic>n</italic> = 120 individuals) and four EPO studies (<xref ref-type="bibr" rid="B64">Miller et al., 2010</xref>; <xref ref-type="bibr" rid="B51">Madigan et al., 2012a</xref>; <xref ref-type="bibr" rid="B43">Li et al., 2014</xref>; <xref ref-type="bibr" rid="B29">Hern&#x00E1;ndez-Aguilar et al., 2015</xref>) (total <italic>n</italic> = 60) from different regions of the EPO (NCC, SCB, SBaja, and ETP) (<xref ref-type="fig" rid="F1">Figure 1</xref>). All studies included male and female sharks across juvenile and adult size ranges, though reporting of size and sex metadata did not allow for this information to be associated with individual &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>Map of summarized blue shark (<italic>Prionace glauca</italic>) movements and sampling locations for isotopic studies in the North Pacific Ocean. Movements (black arrows) are based on conventional tagging data in the western and eastern Pacific Ocean (WPO and EPO), with arrow size scaled to relative proportion of observed movements. Boxes show regions of blue shark tissue sampling for stable isotope analysis (SIA). Tagging data are summarized from <xref ref-type="bibr" rid="B84">Sippel et al. (2011)</xref>; SIA sampling locations from <xref ref-type="bibr" rid="B64">Miller et al. (2010)</xref>, <xref ref-type="bibr" rid="B51">Madigan et al. (2012a)</xref>, <xref ref-type="bibr" rid="B43">Li et al. (2014)</xref>, <xref ref-type="bibr" rid="B29">Hern&#x00E1;ndez-Aguilar et al. (2015)</xref>, <xref ref-type="bibr" rid="B24">Fujinami et al. (2018)</xref>.</p></caption>
<graphic xlink:href="fmars-08-653606-g001.tif"/>
</fig>
<p>We assumed that published blue shark &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values were generally normally distributed, based on reporting of mean &#x00B1; SD or SE. Blue shark &#x03B4;<sup>13</sup>C values showed high overlap between the WPO and EPO, with the majority of data in both regions falling between &#x2212;20.0 and &#x2212;17.0&#x2030; (<xref ref-type="fig" rid="F2">Figure 2</xref>); this was also observed in WPO and EPO prey that were used to calculate isoscape &#x201C;baselines&#x201D; for both regions (see <xref ref-type="fig" rid="F2">Figure 2</xref> and section below). In contrast, blue shark &#x03B4;<sup>15</sup>N values were distinct between the WPO and EPO (<xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>Stable isotope values of blue sharks (<italic>Prionace glauca</italic>) and prey in the western and eastern North Pacific Ocean. Blue shark values in the eastern (dark circles) and western (open circles) were estimated from published distributions of blue shark values in each ocean basin, with means shown (large filled and open circles; &#x00B1; SD). Prey data (diamonds; species mean &#x00B1; SD) were selected based on general prey groups (e.g., mesopelagic squids, forage fish) reported in published diet studies, and include epi- and mesopelagic forage fish, squids, and crustaceans. Lines represent linear fits to eastern (dashed line) and western (solid line) prey data.</p></caption>
<graphic xlink:href="fmars-08-653606-g002.tif"/>
</fig>
<p>Consistent with previous studies, mean blue shark &#x03B4;<sup>15</sup>N values were consistently lower in the WPO (12.1&#x2030;; <xref ref-type="bibr" rid="B24">Fujinami et al., 2018</xref>) than in the EPO (14.7, 15.2, 15.8, and 16.5&#x2030;; <xref ref-type="bibr" rid="B64">Miller et al., 2010</xref>; <xref ref-type="bibr" rid="B51">Madigan et al., 2012a</xref>; <xref ref-type="bibr" rid="B43">Li et al., 2014</xref>; <xref ref-type="bibr" rid="B29">Hern&#x00E1;ndez-Aguilar et al., 2015</xref>; <xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F3">3</xref>). The range of &#x03B4;<sup>15</sup>N values was relatively small in all regions, with minimal outliers (i.e., high values in WPO, low values in EPO) reported in any studies. Based on studies that reported &#x03B4;<sup>15</sup>N minima and maxima, these values were (WPO) 10.3&#x2013;14.0&#x2030; and (EPO) 13.8&#x2013;18.8&#x2030;.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>Distributions of bootstrapped blue shark (<italic>Prionace glauca</italic>) &#x03B4;<sup>15</sup>N values from the North Pacific Ocean. <bold>(A)</bold> Blue shark muscle &#x03B4;<sup>15</sup>N values were taken from the published literature from sampling regions off Japan and Taiwan (western Pacific Ocean; open bars) and the California Current and the Eastern Tropical Pacific (eastern Pacific Ocean; gray bars). <bold>(B)</bold> Blue shark diet-derived &#x03B4;<sup>15</sup>N values were estimated by calculating regional prey baselines, based on published data, and adding resampled blue shark diet-dependent DTDF estimates for each region.</p></caption>
<graphic xlink:href="fmars-08-653606-g003.tif"/>
</fig>
</sec>
<sec id="S3.SS1.SSS2">
<title>Prey SI Data</title>
<p>We obtained &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N data for WPO prey (muscle tissue) from five studies (<xref ref-type="bibr" rid="B89">Takai et al., 2007</xref>; <xref ref-type="bibr" rid="B53">Madigan et al., 2016</xref>; <xref ref-type="bibr" rid="B71">Ohshimo et al., 2016</xref>, <xref ref-type="bibr" rid="B70">2019</xref>; <xref ref-type="bibr" rid="B24">Fujinami et al., 2018</xref>) for a total of 145 prey species, and obtained data for EPO prey from five studies (<xref ref-type="bibr" rid="B51">Madigan et al., 2012a</xref>; <xref ref-type="bibr" rid="B63">Miller et al., 2013</xref>; <xref ref-type="bibr" rid="B17">Choy et al., 2015</xref>; <xref ref-type="bibr" rid="B29">Hern&#x00E1;ndez-Aguilar et al., 2015</xref>; <xref ref-type="bibr" rid="B90">Tamburin et al., 2019</xref>) for a total of 75 prey species. Prey species included the most commonly observed species in WPO and EPO blue shark diet (<xref ref-type="bibr" rid="B77">Preti et al., 2012</xref>; <xref ref-type="bibr" rid="B29">Hern&#x00E1;ndez-Aguilar et al., 2015</xref>; <xref ref-type="bibr" rid="B24">Fujinami et al., 2018</xref>), including forage fish (anchovy <italic>Engraulis</italic> spp., sardine <italic>Sardinops</italic> spp., scombrids), squids (Ommastrephidae, Gonatidae, Oegopsidae), and crustaceans (red crab <italic>Pleuroncodes planipes</italic>), as well as other epi- and mesopelagic fish, squids, and crustaceans that have also been observed in blue shark diet (<xref ref-type="bibr" rid="B77">Preti et al., 2012</xref>; <xref ref-type="bibr" rid="B29">Hern&#x00E1;ndez-Aguilar et al., 2015</xref>; <xref ref-type="bibr" rid="B24">Fujinami et al., 2018</xref>).</p>
<p>As with WPO and EPO blue shark data, prey &#x03B4;<sup>13</sup>C values showed high overlap while prey &#x03B4;<sup>15</sup>N values were discrete between the WPO and EPO (<xref ref-type="table" rid="T1">Table 1</xref> and <xref ref-type="fig" rid="F2">Figure 2</xref>). For this reason, we used only &#x03B4;<sup>15</sup>N values for discriminant analysis, consistent with previous studies that used &#x03B4;<sup>15</sup>N to quantify exchange rates of WPO and EPO Pacific bluefin tuna (<xref ref-type="bibr" rid="B49">Madigan et al., 2017</xref>; <xref ref-type="bibr" rid="B91">Tawa et al., 2017</xref>). Overall WPO prey &#x03B4;<sup>13</sup>C values were &#x2212;18.2 &#x00B1; 0.9&#x2030;; range &#x2212;21.5 to &#x2212;16.1&#x2030;, and &#x03B4;<sup>15</sup>N values were 9.9 &#x00B1; 1.6&#x2030;; range 4.3&#x2013;12.6&#x2030;. EPO prey SI values were (&#x03B4;<sup>13</sup>C) &#x2212;18.6 &#x00B1; 1.0&#x2030;; range &#x2212;20.1 to &#x2212;16.3&#x2030;, and (&#x03B4;<sup>15</sup>N) 14.1 &#x00B1; 1.0&#x2030;; range 12.3&#x2013;15.9&#x2030;. Prey &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N differences were variable across sub-regions (<xref ref-type="table" rid="T1">Table 1</xref>). Total diet estimates based on bootstrapped prey SI values were highly variable across regions (<xref ref-type="table" rid="T1">Table 1</xref>). Diet estimates were used in discriminant analysis and mixing models (below).</p>
</sec>
</sec>
<sec id="S3.SS2">
<title>Data Analyses</title>
<sec id="S3.SS2.SSS1">
<title>Regional Variability and Overlap of Blue Shark SI Values</title>
<p>Across the five sub-regions, isotopic variability measured in terms of niche space (which was uniform across SEA and SEA<sub>B</sub> estimates) was greatest for individuals captured in the ETP (1.8&#x2030;<sup>2</sup>), and lowest in the NCC (0.6&#x2030;<sup>2</sup>). SCB, SBaja, and WPO individuals exhibited intermediate variability (1.1&#x2030;<sup>2</sup>&#x2013;1.2&#x2030;<sup>2</sup>, <xref ref-type="table" rid="T2">Table 2</xref> and <xref ref-type="fig" rid="F4">Figure 4</xref>).</p>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>Bayesian inferred probabilistic niche overlap of blue sharks (<italic>Prionace glauca</italic>) captured from five sub-regions.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center" colspan="5">Sub-region (ii)<hr/></td>
</tr>
<tr>
<td valign="top" align="left">Sub-region (i)</td>
<td valign="top" align="center">Northern California Current</td>
<td valign="top" align="center">Southern California Bight</td>
<td valign="top" align="center">Southern Baja</td>
<td valign="top" align="center">Eastern Tropical Pacific</td>
<td valign="top" align="center">WPO</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Northern California Current</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">93.9</td>
<td valign="top" align="center">28.4</td>
<td valign="top" align="center">90.5</td>
<td valign="top" align="center">5.6</td>
</tr>
<tr>
<td valign="top" align="left">Southern California Bight</td>
<td valign="top" align="center">72.4</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">47.3</td>
<td valign="top" align="center">83.3</td>
<td valign="top" align="center">0.8</td>
</tr>
<tr>
<td valign="top" align="left">Southern Baja</td>
<td valign="top" align="center">12.4</td>
<td valign="top" align="center">38.3</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">93.9</td>
<td valign="top" align="center">&#x003C;0.1</td>
</tr>
<tr>
<td valign="top" align="left">Eastern Tropical Pacific</td>
<td valign="top" align="center">30.1</td>
<td valign="top" align="center">61.3</td>
<td valign="top" align="center">74.7</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">2.7</td>
</tr>
<tr>
<td valign="top" align="left">WPO</td>
<td valign="top" align="center">2.6</td>
<td valign="top" align="center">0.9</td>
<td valign="top" align="center">&#x003C;0.1</td>
<td valign="top" align="center">4.0</td>
<td valign="top" align="center">&#x2013;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<attrib><italic>Table is interpreted as the probabilistic niche overlap between sub-region (i) and sub-region (ii) and vice versa. Values show % overlap of 95% probabilistic niche regions.</italic></attrib>
<attrib><italic>WPO: Western Pacific Ocean.</italic></attrib>
</table-wrap-foot>
</table-wrap>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption><p>Differences in isotopic niches of blue shark (<italic>Prionace glauca</italic>) across discrete regions within the eastern North Pacific Ocean. Map (upper left) shows regions where blue sharks were sampled and subsequently analyzed for &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values. Ellipses represent 95% of blue shark &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values following <xref ref-type="bibr" rid="B87">Swanson et al. (2015)</xref>.</p></caption>
<graphic xlink:href="fmars-08-653606-g004.tif"/>
</fig>
<p>Isotopic niche overlap was extremely low between all possible combinations of EPO sub-regions and WPO blue sharks (&#x003C;6%, <xref ref-type="table" rid="T2">Table 2</xref> and <xref ref-type="fig" rid="F4">Figure 4</xref>). Overlap between sub-regions of the EPO was substantial, but highly variable, with overlap estimates ranging from 12 to 94% (<xref ref-type="table" rid="T2">Table 2</xref> and <xref ref-type="fig" rid="F4">Figure 4</xref>). Blue sharks sampled in the NCC and SCB generally overlapped significantly with the isotopic niches of those from the ETP (&#x003E;70%), but there was less overlap with SBaja (&#x003C;48%). SBaja blue sharks overlapped minimally with NCC and SCB sharks (&#x003C;39%), but overlapped highly with ETP sharks (94%, <xref ref-type="table" rid="T2">Table 2</xref> and <xref ref-type="fig" rid="F4">Figures 4</xref>, <xref ref-type="fig" rid="F5">5</xref>). Overlap of ETP sharks was relatively high with SCB and SBaja sharks (61 and 75%, respectively), but lower with the NCC (30%, <xref ref-type="table" rid="T2">Table 2</xref> and <xref ref-type="fig" rid="F4">Figures 4</xref>, <xref ref-type="fig" rid="F5">5</xref>). Overall, bilateral isotopic niche overlap (see <xref ref-type="table" rid="T2">Table 2</xref>) suggested that the highest level of WPO&#x2194;EPO connectivity was in the NCC (12%, 28%; <xref ref-type="table" rid="T2">Table 2</xref>), and the lowest level of WPO&#x2194;EPO connectivity in SBaja (&#x003C;1%; <xref ref-type="table" rid="T2">Table 2</xref> and <xref ref-type="fig" rid="F5">Figure 5</xref>). Within the EPO, the highest &#x03B4;<sup>15</sup>N-inferred connectivity of blue sharks was between the NCC and SCB (72%, 94%; <xref ref-type="table" rid="T2">Table 2</xref>) and SBaja and the ETP (94%, 75%; <xref ref-type="table" rid="T2">Table 2</xref>), and the lowest connectivity between SBaja and the NCC (12%, 28%; <xref ref-type="table" rid="T2">Table 2</xref> and <xref ref-type="fig" rid="F5">Figure 5</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption><p>Summarized estimates of blue shark (<italic>Prionace glauca</italic>) migratory exchange between eastern North Pacific Ocean regions, inferred from niche overlap of regional &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values. Migratory exchange was inferred quantitatively by calculating overlap between 95% probabilistic isotopic niches of each sub-region, using a Bayesian approach (&#x201C;nicheROVER&#x201D;; <xref ref-type="bibr" rid="B87">Swanson et al., 2015</xref>). Arrows are scaled to the degree of isotopic niche overlap between regions; note that exchange rates are relative and approximate.</p></caption>
<graphic xlink:href="fmars-08-653606-g005.tif"/>
</fig>
</sec>
<sec id="S3.SS2.SSS2">
<title>Diet-Dependent DTDFs</title>
<p>Across all regions (i.e., EPO and WPO values, including all sub-regions), calculated blue shark &#x0394;<sup>13</sup>C values ranged from 0.8 to 1.2&#x2030; and for &#x0394;<sup>15</sup>N from 1.7 to 3.9&#x2030;. Due to substantial variation in WPO diet &#x03B4;<sup>15</sup>N values, overall WPO DTDFs generated in bootstrapped estimates ranged from 1.8 to 4.8&#x2030; (3.1 &#x00B1; 0.5&#x2030;), and EPO DTDFs from 1.4 to 1.9&#x2030; (1.5 &#x00B1; 0.1&#x2030;) (see <xref ref-type="table" rid="T1">Table 1</xref> for all regional DTDFs). Sub-region diet-dependent DTDFs varied substantially within both the EPO and WPO, based on differences in sub-region prey baselines (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
</sec>
<sec id="S3.SS2.SSS3">
<title>Discriminant Analysis</title>
<p>Discriminant analysis classified all WPO blue sharks as residents to the WPO (0% EPO migrants). In the EPO, 95.3% of blue sharks were categorized as residents to the EPO (&#x223C;5% WPO migrants), which varied by EPO sub-region: NCC (11% migrants), ETP (5% migrants), SCB (2% migrants), and SBaja (0% migrants), with &#x003C;1% classification error across all regional discriminant analyses. The value representing the cutoff point in discriminant analyses (threshold &#x03B4;<sup>15</sup>N value between WPO- and EPO-classified sharks) was similar across all analyses conducted, at &#x223C;14.0&#x2030;. Most &#x03B4;<sup>15</sup>N values of WPO migrants in the EPO (&#x03B4;<sup>15</sup>N &#x003C; 14.0&#x2030;) were in the tails of bootstrapped population &#x03B4;<sup>15</sup>N values, though one empirical EPO value (&#x03B4;<sup>15</sup>N = 13.8&#x2030;; minimum reported in ETP) was classified as a WPO migrant.</p>
<p>Training data for discriminant analysis (estimated blue shark &#x03B4;<sup>15</sup>N values from WPO and EPO prey, calculated from region-specific diet estimates and DTDFs), were (WPO) 13.1 &#x00B1; 1.1&#x2030; and (EPO) 15.8 &#x00B1; 1.1&#x2030;. WPO and EPO training data were highly discrete between the two regions (13% overlap; <xref ref-type="fig" rid="F3">Figure 3</xref>) and highly coherent with bootstrapped blue shark &#x03B4;<sup>15</sup>N distributions (<xref ref-type="fig" rid="F3">Figure 3</xref>).</p>
</sec>
<sec id="S3.SS2.SSS4">
<title>Isotopic Mixing Models</title>
<p>Substantial blue shark SI data (9&#x2013;32%) fell outside of the prey mixing space due to low shark &#x03B4;<sup>13</sup>C values (<xref ref-type="supplementary-material" rid="FS1">Supplementary Figure 1</xref> and <xref ref-type="supplementary-material" rid="TS2">Supplementary Table 2</xref>), leading to unreliable mixing model results. There were large discrepancies between dual (&#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N) and single (&#x03B4;<sup>15</sup>N) isotope mixing models in both the EPO and WPO (<xref ref-type="supplementary-material" rid="FS2">Supplementary Figures 2</xref>, <xref ref-type="supplementary-material" rid="FS3">3</xref> and <xref ref-type="supplementary-material" rid="TS2">Supplementary Tables 2</xref>, <xref ref-type="supplementary-material" rid="TS3">3</xref>). In the EPO, the dual isotope model suggested high SCB inputs to all regions (66&#x2013;100%), likely biased by the SCB having the lowest prey &#x03B4;<sup>13</sup>C values (<xref ref-type="supplementary-material" rid="FS2">Supplementary Figure 2</xref>). Results suggested low contributions from the WPO (i.e., <italic>trans</italic>-Pacific migrants) in the NCC (15%) and SCB (12%), and minimal inputs from the NCC and SBaja (0&#x2013;5%) (<xref ref-type="supplementary-material" rid="FS2">Supplementary Figure 2</xref> and <xref ref-type="supplementary-material" rid="TS2">Supplementary Table 2</xref>). The single isotope model indicated higher contributions from all EPO sub-regions, though SCB inputs were still important to all sub-regions (<xref ref-type="supplementary-material" rid="FS2">Supplementary Figure 2</xref> and <xref ref-type="supplementary-material" rid="TS2">Supplementary Table 2</xref>).</p>
<p>In the WPO, a similarly high proportion of blue shark SI data (55%) fell outside of prey mixing space due to low shark &#x03B4;<sup>13</sup>C values (<xref ref-type="supplementary-material" rid="FS1">Supplementary Figure 1</xref> and <xref ref-type="supplementary-material" rid="TS2">Supplementary Table 2</xref>). The dual isotope model suggested blue sharks foraged most on prey from Kuroshio-Oyashio (65%), though model results were likely biased by that region&#x2019;s relatively low prey &#x03B4;<sup>13</sup>C values (<xref ref-type="supplementary-material" rid="FS3">Supplementary Figure 3</xref>). When &#x03B4;<sup>13</sup>C values were excluded from mixing models, the single-isotope &#x03B4;<sup>15</sup>N model suggested greater contributions to blue shark diet from all sub-regions, with the southern region (offshore Taiwan) contributing the most (56%; <xref ref-type="supplementary-material" rid="FS3">Supplementary Figure 3</xref> and <xref ref-type="supplementary-material" rid="TS3">Supplementary Table 3</xref>). The 95% credible intervals for all mixing models results are shown in <xref ref-type="supplementary-material" rid="TS2">Supplementary Tables 2</xref>, <xref ref-type="supplementary-material" rid="TS3">3</xref>.</p>
</sec>
</sec>
</sec>
<sec id="S4">
<title>Discussion</title>
<p>Region-specific stable isotope values of blue sharks and prey allowed for inferences of prior movement patterns and regional connectivity in the North Pacific Ocean, quantifying dynamics that have been observed (e.g., <italic>trans</italic>-Pacific migrations), but for which frequency and exchange rates are unknown. Our results suggest minimal <italic>trans</italic>-Pacific movements and indicate potential finer-scale movement and residency dynamics within sub-regions of the EPO and WPO, though key caveats were evident in estimates of finer scale movements. High coherence of prey-estimated blue shark &#x03B4;<sup>15</sup>N values with empirical SI values demonstrated the effectiveness and predictive value of North Pacific isoscapes. Overall, our results demonstrate the efficacy of our multi-analytical stable isotope approach to identify movements of a highly migratory pelagic species in the North Pacific, and the potential for future analyses with consideration of sample treatment and quantification of crucial species-specific isotopic parameters.</p>
<p><italic>Trans</italic>-Pacific migrations in North Pacific blue sharks were first demonstrated by conventional tagging efforts in the eastern Pacific (<xref ref-type="bibr" rid="B84">Sippel et al., 2011</xref>), and we used SI data to assess the frequency of EPO&#x2194;WPO movements. In the WPO, SI datasets revealed no evidence of migrations from the EPO, compared to conventional tagging studies that reported 4 of 205 (&#x223C;2%) EPO-tagged (NCC, SCB, and SBaja) blue sharks migrating to the WPO (<xref ref-type="bibr" rid="B84">Sippel et al., 2011</xref>). In the EPO, discriminant analysis indicated <italic>trans</italic>-Pacific migration from the WPO in low proportions (&#x223C;5%) of our EPO bootstrapped population estimates, including at least one empirical migrant value (&#x03B4;<sup>15</sup>N = 13.8&#x2030;; ETP). However, conventional tagging found no <italic>trans</italic>-Pacific migration to the EPO from the WPO (<italic>n</italic> = 207) (<xref ref-type="bibr" rid="B84">Sippel et al., 2011</xref>), and more recent satellite tagging in the EPO (<italic>n</italic> = 47) and WPO (<italic>n</italic> = 21) showed movements only within those respective ocean regions (<xref ref-type="bibr" rid="B58">Maxwell et al., 2019</xref>; <xref ref-type="bibr" rid="B25">Fujinami et al., 2021</xref>). While tagging studies have thus provided quantitative metrics of <italic>trans</italic>-Pacific migrations, tag-inferred movements have limitations, including simplistic movement information and potential non-reporting of tag recovery (conventional tags), limited sample size (electronic tags), and short-term tracks that do not capture long-distance movements (both tag types) (<xref ref-type="bibr" rid="B85">Siskey et al., 2019</xref>). Tagging data is also prospective, capturing future rather than prior movements that are potentially biased by tagging location. In contrast, isotopic measurements coupled with isotopic turnover rates and DTDFs can provide retrospective, quantifiable timeframes of prior movements. While SI-inferred movements are limited by isotopic turnover rates of analyzed tissue, prior movements can be characterized due to mobile predators integrating prey isotopic signatures during movements through isotopically distinct regions (<xref ref-type="bibr" rid="B27">Graham et al., 2010</xref>; <xref ref-type="bibr" rid="B46">MacKenzie et al., 2012</xref>; <xref ref-type="bibr" rid="B12">Carlisle et al., 2015</xref>; <xref ref-type="bibr" rid="B47">Madigan, 2015</xref>; <xref ref-type="bibr" rid="B93">Trueman and Glew, 2019</xref>). As such, isotope- and tag-inferred migration patterns are effective complementary techniques (<xref ref-type="bibr" rid="B13">Carlisle et al., 2012</xref>, <xref ref-type="bibr" rid="B12">2015</xref>; <xref ref-type="bibr" rid="B50">Madigan et al., 2015</xref>, <xref ref-type="bibr" rid="B55">2018</xref>; <xref ref-type="bibr" rid="B83">Shipley et al., 2021</xref>). Here, comparing isotopic estimates to past conventional tagging suggests that blue sharks make both eastward and westward <italic>trans</italic>-Pacific migrations, though the number of sharks that make these migrations appears to be low (&#x003C;5%).</p>
<p>The low <italic>trans</italic>-Pacific exchange inferred here improve understanding of blue shark population dynamics in the North Pacific. Genetic analyses have shown global panmixia across regional blue shark populations, with minimal evidence of regional population structure (<xref ref-type="bibr" rid="B88">Taguchi et al., 2015</xref>; <xref ref-type="bibr" rid="B96">Ver&#x00ED;ssimo et al., 2017</xref>; <xref ref-type="bibr" rid="B3">Bailleul et al., 2018</xref>). This lack of observed population structure requires some mechanism of regional population mixing, and while maintenance of population genetic homogeneity does not necessarily require high mixing (<xref ref-type="bibr" rid="B8">Bremer et al., 2005</xref>; <xref ref-type="bibr" rid="B98">Waples and Gaggiotti, 2006</xref>), the minimal <italic>trans</italic>-Pacific exchange we observed here is unlikely to be the primary driver. Current understanding of blue shark life history provides several alternative scenarios for mixing of EPO and WPO populations. If WPO and EPO sharks mate (central-southern waters; &#x223C;20&#x2013;30&#x00B0;N) and pup (northern waters; &#x223C;35&#x2013;45&#x00B0;N) (<xref ref-type="bibr" rid="B68">Nakano, 1994</xref>; <xref ref-type="bibr" rid="B69">Nakano and Stevens, 2008</xref>) in their respective ocean basins, EPO- and WPO-origin young-of-the-year (YOYs) could subsequently recruit to either the WPO or EPO. In addition, the Central Pacific Ocean (CPO) (i.e., waters around Hawaii) could serve as a mixing region for WPO and EPO sharks, as some exchange of blue sharks in this region has been observed previously (<xref ref-type="bibr" rid="B84">Sippel et al., 2011</xref>). Consequently, dispersive YOY recruitment and/or partial, temporary mixing of adults in the CPO (if for mating or parturition) could drive genetic mixing while maintaining regional WPO and EPO isotopic signatures that indicate regional residency of juveniles and adults. Alternatively, genetic analysis has demonstrated the possibility of &#x201C;genetic time-lag&#x201D; effects in blue sharks (<xref ref-type="bibr" rid="B3">Bailleul et al., 2018</xref>), with the possibility of discrete sub-populations despite genetic homogeneity; thus, WPO and EPO separation observed here could indicate discrete, minimally mixed sub-populations. As such, the degree to which YOY recruitment and adult mixing contribute to North Pacific blue shark population dynamics warrants further study.</p>
<p>Comparison of blue shark and prey values between the WPO and EPO demonstrated that &#x03B4;<sup>15</sup>N, and not &#x03B4;<sup>13</sup>C, serves as a regional diagnostic tracer in the North Pacific Ocean as has been previously observed in Pacific bluefin tuna (<xref ref-type="bibr" rid="B49">Madigan et al., 2017</xref>). We observed high overlap of WPO and EPO prey &#x03B4;<sup>13</sup>C values, but almost no overlap of prey &#x03B4;<sup>15</sup>N values (<xref ref-type="fig" rid="F2">Figure 2</xref>). Mechanisms for this have been demonstrated, with photosynthetic pathways in pelagic primary producers (C<sub>3</sub> photosynthesis) varying more with latitude (i.e., due to variable productivity, temperature, and seawater <italic>p</italic>CO<sub>2</sub> regimes), rather than longitude (<xref ref-type="bibr" rid="B6">Bowen, 2010</xref>; <xref ref-type="bibr" rid="B56">Magozzi et al., 2017</xref>; <xref ref-type="bibr" rid="B7">Brault et al., 2018</xref>; <xref ref-type="bibr" rid="B70">Ohshimo et al., 2019</xref>). Coherence of prey-based estimated &#x03B4;<sup>15</sup>N blue shark values with shark-derived values (<xref ref-type="fig" rid="F3">Figure 3</xref>) further supports both the robustness of the &#x03B4;<sup>15</sup>N isoscape approach and the marked separation between &#x03B4;<sup>15</sup>N values of WPO and EPO sharks. Similar patterns of distinct EPO and WPO isotopic signatures have been found in Pacific bluefin tuna, a large-bodied pelagic teleost in the WPO and EPO that makes seasonal migrations through the same WPO and EPO regions (<xref ref-type="bibr" rid="B5">Boustany et al., 2010</xref>; <xref ref-type="bibr" rid="B49">Madigan et al., 2017</xref>; <xref ref-type="bibr" rid="B91">Tawa et al., 2017</xref>). In Pacific bluefin tuna, &#x03B4;<sup>15</sup>N-based estimates of <italic>trans</italic>-Pacific migration were demonstrably effective based on coherence with other chemical tracers, while non-differentiation of tuna &#x03B4;<sup>13</sup>C made it an ineffective migration tracer (<xref ref-type="bibr" rid="B49">Madigan et al., 2017</xref>). This differs from more typical isotopic applications to ecology, which generally use &#x03B4;<sup>15</sup>N to estimate trophic dynamics and &#x03B4;<sup>13</sup>C to trace energy source and foraging location(s), due to lower trophic fractionation of &#x03B4;<sup>13</sup>C than of &#x03B4;<sup>15</sup>N (<xref ref-type="bibr" rid="B76">Post, 2002</xref>). However, more recent studies have demonstrated that in some systems and for certain predators, baseline &#x03B4;<sup>15</sup>N values across ecoregions can result in predators acquiring regional &#x03B4;<sup>15</sup>N signatures that outweigh trophic effects (<xref ref-type="bibr" rid="B27">Graham et al., 2010</xref>; <xref ref-type="bibr" rid="B30">Hobson et al., 2010</xref>; <xref ref-type="bibr" rid="B49">Madigan et al., 2017</xref>; <xref ref-type="bibr" rid="B83">Shipley et al., 2021</xref>). Isoscapes will be basin- and ecosystem-dependent. In the North Pacific, the &#x03B4;<sup>15</sup>N gradient is caused by upwelling-driven enrichment of <sup>15</sup>N in the EPO and low &#x03B4;<sup>15</sup>N values due to oligotrophic N-fixation in the WPO (<xref ref-type="bibr" rid="B89">Takai et al., 2007</xref>; <xref ref-type="bibr" rid="B51">Madigan et al., 2012a</xref>, <xref ref-type="bibr" rid="B49">2017</xref>; <xref ref-type="bibr" rid="B24">Fujinami et al., 2018</xref>; <xref ref-type="bibr" rid="B70">Ohshimo et al., 2019</xref>). The finer scale structure of &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values in the WPO and EPO shown here demonstrate the utility of SIA in these ecosystems to track inter- and intra-basin predator movements.</p>
<p>We used niche overlap of blue shark &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values to quantify finer scale connectivity dynamics within EPO and WPO sub-regions. In the EPO, isotopic niche overlap suggested variable mixing between the NCC, SCB, SBaja, and ETP (<xref ref-type="fig" rid="F5">Figure 5</xref>). High exchange was suggested between the NCC and SCB; this is supported by conventional (<xref ref-type="bibr" rid="B84">Sippel et al., 2011</xref>) and electronic tag studies, which also found sexual segregation between these two regions (<xref ref-type="bibr" rid="B58">Maxwell et al., 2019</xref>). Lower overlap between SBaja and the NCC/SCB suggests that sharks may be more resident to this region. Regional proximity likely plays a role in exchange dynamics, as in general, more proximate regions showed greater migratory exchange (<xref ref-type="fig" rid="F5">Figure 5</xref>). Collectively, estimated connectivity in the ETP and SBaja supports the premise that coastal and pelagic waters off SBaja may serve as both an overwintering ground for juveniles and a potential reproductive function for adults (<xref ref-type="bibr" rid="B97">V&#x00F6;gler et al., 2012</xref>), with isotopic overlap suggesting migration from SBaja to the ETP (<xref ref-type="fig" rid="F5">Figure 5</xref>). Importantly, movement dynamics related to size and sex structure have been observed across these regions (<xref ref-type="bibr" rid="B69">Nakano and Stevens, 2008</xref>; <xref ref-type="bibr" rid="B97">V&#x00F6;gler et al., 2012</xref>; <xref ref-type="bibr" rid="B58">Maxwell et al., 2019</xref>), which we could not evaluate here due to a lack of size- and sex-specific information to match with blue shark isotopic values. Improved insight into size- and sex-specific movement dynamics could be accomplished with robust sampling of blue sharks for empirical isotopic measurements, coupled with size and sex metadata across the defined study regions. This could easily be achieved through sampling of fisheries [by]catch, potentially incorporating tissues of different turnover rates (i.e., fast [plasma, liver]; slow [muscle]; <xref ref-type="bibr" rid="B92">Thomas and Crowther, 2015</xref>; <xref ref-type="bibr" rid="B95">Vander Zanden et al., 2015</xref>).</p>
<p>While mixing models provided exploratory and potentially informative estimates of regional connectivity, results of finer scale sub-regional movements appeared biased and thus unreliable. Although the &#x03B4;<sup>15</sup>N values of sharks and DTDF-corrected prey highly overlapped, shark &#x03B4;<sup>13</sup>C values were low relative to prey in both the EPO and WPO (<xref ref-type="supplementary-material" rid="FS2">Supplementary Figures 2</xref>, <xref ref-type="supplementary-material" rid="FS3">3</xref>). Furthermore, prey mixing polygons (<xref ref-type="bibr" rid="B86">Smith et al., 2013</xref>) showed up to 32% and 55% of blue shark values falling outside of the simulated prey mixing space, due to these low shark &#x03B4;<sup>13</sup>C values (<xref ref-type="supplementary-material" rid="FS1">Supplementary Figure 1</xref> and <xref ref-type="supplementary-material" rid="TS2">Supplementary Tables 2</xref>, <xref ref-type="supplementary-material" rid="TS3">3</xref>). This likely biased mixing model estimates toward the lowest &#x03B4;<sup>13</sup>C prey input(s); this confounding factor was observed in the two-isotope mixing models in both the WPO (high input of Kuroshio-Oyashio) and EPO (high input of SCB) (<xref ref-type="supplementary-material" rid="FS2">Supplementary Figures 2</xref>, <xref ref-type="supplementary-material" rid="FS3">3</xref>). A similar effect of low blue shark &#x03B4;<sup>13</sup>C values was observed in a previously published estimate of diet based on isotope mixing models in the SBaja sub-region, in which low blue shark &#x03B4;<sup>13</sup>C values relative to prey resulted in the two lowest &#x03B4;<sup>13</sup>C prey items (pelagic octopus <italic>Argonauta</italic> spp. and pelagic red crab <italic>P. planipes</italic>) dominating diet estimates (<xref ref-type="bibr" rid="B29">Hern&#x00E1;ndez-Aguilar et al., 2015</xref>). Consequently, mixing model results here demonstrate that biased results will likely occur when predator SI values are substantially offset from prey inputs. While this is unsurprising and has previously been identified in the literature, studies continue to adopt this approach and report findings without identifying potential bias. It is imperative that investigators use appropriate diagnostic tools (i.e., quantitative assessment of prey vs. predator data following <xref ref-type="bibr" rid="B86">Smith et al., 2013</xref>) to ensure results are accurate or that potential bias is reported. For blue sharks, low &#x03B4;<sup>13</sup>C values that are irreconcilable with local prey is consistent across studies and requires clarification.</p>
<p>There are three possible explanations for the consistently low &#x03B4;<sup>13</sup>C values observed in blue sharks: (i) feeding in a region, within timeframes, or on prey not represented in regional studies; (ii) estimated &#x0394;<sup>13</sup>C values for blue sharks are too high, and fractionation between prey and blue shark muscle is lower than our estimated DTDF values; or (iii) shark sample preparation for SIA resulted in artificially low &#x03B4;<sup>13</sup>C values across studies. Missing or isotopically misrepresented prey sources (scenario [i]) is a common issue across studies (<xref ref-type="bibr" rid="B86">Smith et al., 2013</xref>); here, sampling too close to coastlines could result in unrealistically high prey &#x03B4;<sup>13</sup>C and/or &#x03B4;<sup>15</sup>N values for a pelagic shark. However, most studies used in these analyses explicitly sampled in offshore epi- and mesopelagic zones. In addition, prey data are available for two offshore regions that were not included here, the TZCF and CPO, and prey &#x03B4;<sup>13</sup>C values from those regions (&#x2212;18.2 &#x00B1; 0.8&#x2030; and &#x2212;17.7 &#x00B1; 0.8&#x2030;, respectively) (<xref ref-type="bibr" rid="B26">Gould et al., 1997</xref>; <xref ref-type="bibr" rid="B17">Choy et al., 2015</xref>) are also not low enough to explain the observed shark &#x03B4;<sup>13</sup>C values. Temporal variability in isotopic values, while possibly influential, is also an unlikely explanation here, as studies spanned multiple seasons and years and different EPO and WPO values are driven by coarsely consistent oceanographic conditions (<xref ref-type="bibr" rid="B49">Madigan et al., 2017</xref>). It is possible that our DTDF estimates are imprecise (scenario [ii]), as they were calculated as diet-based DTDFs following <xref ref-type="bibr" rid="B15">Caut et al. (2009)</xref> and <xref ref-type="bibr" rid="B33">Hussey et al. (2014)</xref>, rather than empirically derived from laboratory experiments. Differential amino acid composition and subsequent <sup>13</sup>C fractionation in blue sharks could drive atypical DTDFs (<xref ref-type="bibr" rid="B60">McMahon et al., 2010</xref>). Laboratory-derived &#x0394;<sup>13</sup>C DTDFs available for other elasmobranch species (<xref ref-type="bibr" rid="B32">Hussey et al., 2010</xref>; <xref ref-type="bibr" rid="B45">Logan and Lutcavage, 2010</xref>; <xref ref-type="bibr" rid="B38">Kim et al., 2012</xref>) are rarely &#x003C;1.0&#x2030; (the mean DTDF applied here), and a DTDF of &#x2264;0&#x2030; would be necessary for blue shark values to be highly coherent with prey. Negative &#x0394;<sup>13</sup>C values for sharks are rare in available studies, though one negative value (&#x2212;0.5&#x2030;) has been estimated for one prey type (of 8 total diet items in natural diet) in the catshark <italic>Scyliorhinus canicula</italic>, so this DTDF in wild blue sharks cannot be ruled out (<xref ref-type="bibr" rid="B16">Caut et al., 2013</xref>). Similar observations in other ocean basins of low blue shark &#x03B4;<sup>13</sup>C values relative to prey and/or other sharks (<xref ref-type="bibr" rid="B80">Rabehagasoa et al., 2012</xref>; <xref ref-type="bibr" rid="B43">Li et al., 2014</xref>; <xref ref-type="bibr" rid="B40">Kiszka et al., 2015</xref>) support the possibility that a unique aspect of blue shark muscle composition or physiology could drive atypically low &#x0394;<sup>13</sup>C, but this likely can only be validated with captive studies. Finally, it is possible that sample preparation partially contributed to low &#x03B4;<sup>13</sup>C values in at least some studies (scenario [iii]). Studies included here performed lipid and/or urea extraction, but not always both (<xref ref-type="bibr" rid="B51">Madigan et al., 2012a</xref>; <xref ref-type="bibr" rid="B43">Li et al., 2014</xref>; <xref ref-type="bibr" rid="B29">Hern&#x00E1;ndez-Aguilar et al., 2015</xref>; <xref ref-type="bibr" rid="B24">Fujinami et al., 2018</xref>), or mathematically corrected for lipids (<xref ref-type="bibr" rid="B62">Miller, 2006</xref>). Many of these studies preceded thorough published analyses demonstrating the importance of both lipid and urea extraction in elasmobranch tissues, which prevents artificially low &#x03B4;<sup>13</sup>C and/or &#x03B4;<sup>15</sup>N values (<xref ref-type="bibr" rid="B14">Carlisle et al., 2016</xref>; <xref ref-type="bibr" rid="B44">Li et al., 2016</xref>; <xref ref-type="bibr" rid="B2">Arostegui et al., 2019</xref>); recent work has also shown that water rinses for urea extraction may actually increase &#x03B4;<sup>13</sup>C values (<xref ref-type="bibr" rid="B14">Carlisle et al., 2016</xref>). Our analyses, which draw upon published studies, underscore the need for standardized, consistent sample treatment in ongoing and future isotopic studies (<xref ref-type="bibr" rid="B99">Wolf et al., 2009</xref>; <xref ref-type="bibr" rid="B82">Shipley and Matich, 2020</xref>), while also noting the value of large archival datasets to address questions at an ocean basin scale. While laboratory-derived DTDFs will be difficult to obtain directly for blue sharks in captivity, improved understanding of <sup>13</sup>C dynamics in this species will be necessary to refine the accuracy of mixing model results, an issue that may also be applicable across other elasmobranch species.</p>
<p>While the data used here came from known high-use regions for blue sharks in the North Pacific, there are other relevant regions that could not be included in our analyses. In particular, the North Pacific Transition Zone (NPTZ) (also referred to as the Transition Zone Chlorophyll Front) has been shown as a region of high blue shark abundance (<xref ref-type="bibr" rid="B73">Pearcy, 1991</xref>; <xref ref-type="bibr" rid="B75">Polovina et al., 2001</xref>; <xref ref-type="bibr" rid="B42">Kubodera et al., 2007</xref>; <xref ref-type="bibr" rid="B97">V&#x00F6;gler et al., 2012</xref>). Recently, the NPTZ has been demonstrated as a migratory corridor for pregnant females that were satellite tagged in the WPO (<xref ref-type="bibr" rid="B25">Fujinami et al., 2021</xref>), has been suggested as a nursery ground for young sharks (<xref ref-type="bibr" rid="B69">Nakano and Stevens, 2008</xref>), and may be a migratory corridor for other blue shark life stages/sexes as well as tunas, swordfish, and turtles (<xref ref-type="bibr" rid="B4">Block et al., 2011</xref>). While blue shark isotope data were not available from the NPTZ, prey &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N appear to be similar to the WPO (<xref ref-type="bibr" rid="B26">Gould et al., 1997</xref>). As such, blue sharks with long-term residency in the NPTZ may be isotopically indistinguishable from WPO residents. It is currently unknown whether blue sharks in the NPTZ are residential to the frontal region for adequate timeframes (i.e., months to &#x003E;1 yr) to acquire the NPTZ isotopic signal or whether they use the region temporarily during inter-region migrations; the WPO migrants we observed here in the NCC could reasonably be entering the California Current via the NPTZ. Isotopic sampling of NPTZ sharks, likely accessible from bycatch in offshore fisheries, could ascertain migration dynamics in NPTZ sharks. Similarly, blue sharks are common in the Central Pacific (i.e., waters around Hawaii; CPO), where conventional tagging suggests mixing with both the EPO and CPO (<xref ref-type="bibr" rid="B84">Sippel et al., 2011</xref>). With no isotopic characterizations of blue sharks in the CPO, we could not include this region here; however, isotopic analysis of CPO sharks could reveal the extent to which these sharks are residential to the region, as local prey seem to be distinctive from other regions, particularly prey &#x03B4;<sup>15</sup>N values (<xref ref-type="bibr" rid="B17">Choy et al., 2015</xref>). Collecting samples across the spatial range of North Pacific fisheries is tractable, especially since a small biopsy sample from a subsequently released, live shark is sufficient for SIA.</p>
<p>This study was limited to the use of bootstrap-estimated blue shark &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values rather than using direct empirical measurements. While our approach allowed for population-wide estimates based on empirically derived data distributions, some regional blue shark studies had relatively low sample sizes (e.g., <italic>n</italic> = 9 in SCB, <italic>n</italic> = 10 in NCC), and in this context, the &#x201C;tails&#x201D; of bootstrapped distributions likely lead to unrealistically high and low SI values (<xref ref-type="bibr" rid="B49">Madigan et al., 2017</xref>). Bootstrapped estimates can also lead to de-coupled shark &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values (see shark data ellipses in <xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F4">4</xref> and <xref ref-type="supplementary-material" rid="FS2">Supplementary Figure 2</xref>), when empirical &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values are often positively correlated. This could affect mixing model estimates of prey/regional contributions to blue shark diet. The lack of size and sex data also limited our ability to undertake more detailed reconstruction of blue shark residency and movement dynamics across life history. Finally, isotopic identification of migrants is dictated by tissue turnover to steady-state conditions (here, likely &#x223C;0.5 to 1.5 year before sampling), precluding identification of long-distance migrations that occurred prior to these timeframes. As such, results here should be taken in the context of these limitations and be viewed as a preliminary framework for regionally focused, empirical investigation.</p>
</sec>
<sec id="S5">
<title>Conclusion</title>
<p>Our results, drawing upon published &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N data for blue sharks and prey sampled at multiple locations in the EPO and WPO, provide a new and replicable means to assess blue shark residency and migration dynamics in the North Pacific. The analyzed data provide strong evidence for limited direct migrations between the WPO and EPO and reiterate the utility of &#x03B4;<sup>15</sup>N isoscapes for the reconstruction of migratory predator movements in the North Pacific Ocean. Limited <italic>trans</italic>-Pacific migrations suggest that other mechanisms maintain genetic homogeneity of the North Pacific blue shark population, including YOY movements and/or partial mixing of adults in the Central Pacific. Regional structure in &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N data have promise for further quantification of finer-scale blue shark movements, increasing the resolutions of movement patterns suggested here, but consideration of isotopic parameters (e.g., accurate species-specific DTDFs), appropriate sample preparation of shark tissues, and length/sex metadata of sampled sharks are necessary. With emerging research showing varying residency and <italic>trans</italic>-regional movements in migratory predators, isoscapes can employ high sample sizes across a breadth of animal life stages, regions, and timeframes to reconstruct habitat use of highly mobile marine animals. Through these isotopic approaches, population-level estimates of movement dynamics are feasible on scales that may not be readily available from conventional tagging or telemetry studies.</p>
</sec>
<sec id="S6">
<title>Data Availability Statement</title>
<p>The data analyzed in this study is subject to the following licenses/restrictions: Data came from published manuscripts, which are only publicly available through purchase of publications. Requests to access these datasets should be directed to <email>daniel.madigan@stonybrook.edu</email>.</p>
</sec>
<sec id="S7">
<title>Author Contributions</title>
<p>DJM, ONS, NEH, and ABC conceived the study. DJM, ONS, and ABC performed the analyses. DJM and ONS wrote the manuscript, with input from all authors. All authors interpreted results and refined analyses.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<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>
</body>
<back>
<fn-group>
<fn fn-type="financial-disclosure">
<p><bold>Funding.</bold> This project was supported by WWF Canada and an NSERC Discovery Grant (#04922-2017) to NEH.</p>
</fn>
</fn-group>
<ack>
<p>Information and comments regarding conventional tagging data were generously provided by T. Sippel, and K. James provided valuable comments on the manuscript.</p>
</ack>
<sec id="S10" sec-type="supplementary material">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2021.653606/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2021.653606/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="FS1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Figure 1</label>
<caption><p>Comparisons of blue shark (<italic>Prionace glauca</italic>) &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values to regional prey. Prey fields (filled gray forms) were generated by simulating 10,000 polygons using prey &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values, following <xref ref-type="bibr" rid="B86">Smith et al. (2013)</xref>. All prey values are adjusted by the addition of calculated diet-based DTDFs to allow quantification of overlap with blue shark &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values (black circles). Proportion of blue shark values falling outside prey polygons, mostly due to low shark &#x03B4;<sup>13</sup>C values, were 55% in the WPO (upper left panel) and 9&#x2013;32% in regions of the EPO (other panels). These data highlight the importance of quantitatively assessing prey/predator isotope dynamics to ensure accurate interpretation of mixing models results and/or to determine (and report) the level of potential bias.</p></caption>
</supplementary-material>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="FS2" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Figure 2</label>
<caption><p>Isotopic overlap of regional blue shark (<italic>Prionace glauca</italic>) data with regional prey, and exploratory mixing model estimates of regional prey contributions, in sub-regions of the eastern Pacific Ocean. <bold>(A)</bold> Bootstrapped blue shark &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values (small circles, colored by EPO sampling sub-region) and regional prey means (large circles; error bars &#x00B1; SD), from the western (WPO) and eastern (EPO) Pacific Ocean. Mean prey &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values are adjusted by the addition of calculated diet-dependent diet-tissue discrimination factors (DTDFs) (<xref ref-type="bibr" rid="B15">Caut et al., 2009</xref>; <xref ref-type="bibr" rid="B33">Hussey et al., 2014</xref>). After prey mean adjustment for DTDF, most blue shark &#x03B4;<sup>13</sup>C values were left-shifted (lower &#x03B4;<sup>13</sup>C) relative to prey &#x03B4;<sup>13</sup>C values. <bold>(B)</bold> Estimated regional prey inputs to EPO blue shark diet from Bayesian mixing models. Left panel shows results from the dual isotope model (&#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N), which were biased toward the regional prey with lowest &#x03B4;<sup>13</sup>C values, and right panel the single isotope (&#x03B4;<sup>15</sup>N) model.</p></caption>
</supplementary-material>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="FS3" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Figure 3</label>
<caption><p>Isotopic overlap of blue shark (<italic>Prionace glauca</italic>) data with regional prey, and exploratory mixing model estimates of regional prey contributions, in the western Pacific Ocean. <bold>(A)</bold> Bootstrapped blue shark &#x03B4;<sup>15</sup>N values (small gray circles) and regional prey means (large circles, colored by WPO sub-region) from the western Pacific Ocean (WPO). Mean prey &#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N values are adjusted by the addition of calculated diet-dependent diet-tissue discrimination factors (DTDFs) (<xref ref-type="bibr" rid="B15">Caut et al., 2009</xref>; <xref ref-type="bibr" rid="B33">Hussey et al., 2014</xref>). After prey mean adjustment for DTDF, most blue shark &#x03B4;<sup>13</sup>C values were left-shifted (lower &#x03B4;<sup>13</sup>C) from expected prey-based values. <bold>(B)</bold> Estimated regional prey inputs to WPO blue shark diet from Bayesian mixing models. Left panel shows results from two isotope model (<sup>13</sup>C and &#x03B4;<sup>15</sup>N), which were biased toward the regional prey with lowest &#x03B4;<sup>13</sup>C values, and right panel shows a single isotope (&#x03B4;<sup>15</sup>N) model.</p></caption>
</supplementary-material>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="TS1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Table 1</label>
<caption><p>Isotopic niche metrics generated from carbon and nitrogen stable isotope values of blue sharks (<italic>Prionace glauca</italic>). Standard ellipse (SEA) areas (&#x2030;<sup>2</sup>) are derived from Northern California Current, Southern California Bight, Southern Baja, Eastern Tropical Pacific, and West Pacific Ocean (WPO). SEA estimates represent maximum likelihood (SEA) and Bayesian (SEA<sub>B</sub>; [75% Cis]) derived estimates based on 40% of the data.</p></caption>
</supplementary-material>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="TS2" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Table 2</label>
<caption><p>Reliance of EPO blue shark populations on regional prey groups as inferred from Bayesian isotope mixing models. Results are median estimates (95% credible intervals [CIs]) derived from the posterior distributions of dual (&#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N) and single (&#x03B4;<sup>15</sup>N) isotope models. For dual isotope models, the percentage of individuals with &#x003E;95% probability of falling outside of the simulated prey mixing space is shown.</p></caption>
</supplementary-material>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="TS3" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink">
<label>Supplementary Table 3</label>
<caption><p>Reliance of WPO blue shark populations on regional prey groups as inferred from Bayesian isotope mixing models. Results are median estimates (95% credible intervals [CIs]) derived from the posterior distributions of dual (&#x03B4;<sup>13</sup>C and &#x03B4;<sup>15</sup>N) and single (&#x03B4;<sup>15</sup>N) isotope models. For dual isotope models the percentage of individuals that had a &#x003E;95% probability of falling outside of the simulated prey mixing space is indicated.</p></caption>
</supplementary-material>
</sec>
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