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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2023.1254761</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>Foraging movements of humpback whales relate to the lateral and vertical distribution of capelin in the Barents Sea</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Vogel</surname>
<given-names>Emma F.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Skalmerud</surname>
<given-names>Stine</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Biuw</surname>
<given-names>Martin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Blanchet</surname>
<given-names>Marie-Anne</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Kleivane</surname>
<given-names>Lars</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Skaret</surname>
<given-names>Georg</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>&#xd8;ien</surname>
<given-names>Nils</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Rikardsen</surname>
<given-names>Audun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>Faculty of Biosciences, Fisheries and Economics, The Arctic University of Norway</institution>, <addr-line>Troms&#xf8;</addr-line>, <country>Norway</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Institute of Marine Research, Framsenteret (FRAM) &#x2013; High North Research Centre for Climate and the Environment</institution>, <addr-line>Troms&#xf8;</addr-line>, <country>Norway</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Terrestrial &#xf8;kologi og sj&#xf8;fugl, Norwegian Polar Institute, FRAM &#x2013;High North Research Centre for Climate and the Environment</institution>, <addr-line>Troms&#xf8;</addr-line>,&#xa0;<country>Norway</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Molly E. Lutcavage, University of Massachusetts Boston, United States</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Robert Schick, Duke University, United States; Uffe H&#xf8;gsbro Thygesen, Technical University of Denmark, Denmark</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Emma F. Vogel, <email xlink:href="mailto:emma.vogel@uit.no">emma.vogel@uit.no</email>
</p>
</fn>
<fn fn-type="present-address" id="fn003">
<p>&#x2020;Present address: Marie-Anne Blanchet, Terrestrial &#xf8;kologi og sj&#xf8;fugl, Norwegian Polar Institute FRAM &#x2013;High North Research Centre for Climate and the Environment, Troms&#xf8;, Norway</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>24</day>
<month>08</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1254761</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>07</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>07</day>
<month>08</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Vogel, Skalmerud, Biuw, Blanchet, Kleivane, Skaret, &#xd8;ien and Rikardsen</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Vogel, Skalmerud, Biuw, Blanchet, Kleivane, Skaret, &#xd8;ien and Rikardsen</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>Understanding how individual animals modulate their behaviour and movement patterns in response to environmental variability plays a central role in behavioural ecology. Marine mammal tracking studies typically use physical environmental characteristics that vary, and/or proxies of prey distribution, to explain predator movements. Studies linking predator movements and the actual distributions of prey are rare. Here we analysed satellite tag data from ten humpback whales in the Barents Sea (north-east Atlantic) to examine how their spatial movement and dive patterns are influenced by the geographic and vertical distribution of capelin, which is a key prey species for humpback whales. We used capelin density estimates based on direct observations from a trawl-acoustic survey and sun elevation to explore the drivers of changes in movement patterns. We found that the humpback whales&#x2019; exhibited characteristic area restricted search movement where capelin density was the highest. While horizontal movements showed both positive and negative individual relationships with sun elevation, humpback whale dive depth was positively correlated with diurnal variations in the vertical distribution of capelin. This suggests that in addition to whales foraging in regions of high capelin density, they also target the densest shoals of capelin at a range of depths, throughout the day and night. Overall, our findings suggest that regions of high capelin density are important foraging grounds for humpback whales, highlighting the central role capelin plays in the Barents Sea marine ecosystem.</p>
</abstract>
<kwd-group>
<kwd>humpback</kwd>
<kwd>movement</kwd>
<kwd>capelin (<italic>Mallotus villosus</italic>)</kwd>
<kwd>behaviour</kwd>
<kwd>predator-prey</kwd>
<kwd>telemetry</kwd>
<kwd>Barents Sea</kwd>
</kwd-group>
<counts>
<fig-count count="3"/>
<table-count count="3"/>
<equation-count count="1"/>
<ref-count count="98"/>
<page-count count="12"/>
<word-count count="6369"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Marine Megafauna</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>The distribution, availability, abundance, and type of prey strongly influences the behaviour of marine predators (<xref ref-type="bibr" rid="B98">Womble et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B36">Goldbogen et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B40">Hays et&#xa0;al., 2016</xref>). Marine predators may adapt both their horizontal and vertical movements in response to changes in patchy prey distribution to optimise their foraging efficiency3 (<xref ref-type="bibr" rid="B14">Boyd, 1996</xref>; <xref ref-type="bibr" rid="B85">Sims et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B10">Bestley et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B89">Thums et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B9">Bestley et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B53">Joy et&#xa0;al., 2015</xref>). Optimal foraging theory predicts that predators should concentrate their efforts on high prey density patches while minimising the transit time between prey patches to maximise their net energy gain and ultimately their fitness (<xref ref-type="bibr" rid="B42">Hedenstr&#xf6;m and Alerstam, 1997</xref>; <xref ref-type="bibr" rid="B45">Houston and McNamara, 2014</xref>). During foraging, marine predators commonly exhibit area-restricted search (ARS) behaviour, characterised by reduced speeds and increased turning rates to remain within a prey patch (<xref ref-type="bibr" rid="B55">Kareiva and Odell, 1987</xref>; <xref ref-type="bibr" rid="B97">Witteveen et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B41">Hazen et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B49">Jonsen et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B15">Breed et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B68">McClintock et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B84">Silva et&#xa0;al., 2013</xref>). In contrast, movement associated with transit displays consistent and elevated speeds with lower turning rates (<xref ref-type="bibr" rid="B29">Fauchald and Tveraa, 2003</xref>). When prey density declines in a particular area, predators may either leave in search of another high-density patch, or switch to alternate prey species (<xref ref-type="bibr" rid="B72">Murdoch, 1969</xref>; <xref ref-type="bibr" rid="B90">Van Baalen et&#xa0;al., 2001</xref>; <xref ref-type="bibr" rid="B93">Vogel et&#xa0;al., 2021</xref>). Therefore, movement analysis of predators can be linked to areas of high prey density.</p>
<p>The humpback whale (<italic>Megaptera novaeangliae</italic>) is a cosmopolitan species, with several distinct stocks identified around the world (<xref ref-type="bibr" rid="B37">Gulland, 1966</xref>; <xref ref-type="bibr" rid="B88">Stone et&#xa0;al., 1990</xref>; <xref ref-type="bibr" rid="B5">Baker et&#xa0;al., 1993</xref>; <xref ref-type="bibr" rid="B77">Rasmussen et&#xa0;al., 2007</xref>). Humpback whales typically migrate yearly between high latitude feeding areas and low latitude breeding grounds (<xref ref-type="bibr" rid="B20">Clapham, 2009</xref>). Their main feeding grounds are generally nutrient rich waters, where their diet consists of a variety of patchily distributed prey including fish, krill, copepods, and squid (<xref ref-type="bibr" rid="B4">Baker et&#xa0;al., 1985</xref>; <xref ref-type="bibr" rid="B21">Clapham and Palsb&#xf8;ll, 1997</xref>; <xref ref-type="bibr" rid="B20">Clapham, 2009</xref>; <xref ref-type="bibr" rid="B70">Meynecke et&#xa0;al., 2021</xref>).</p>
<p>The northeast Atlantic is regarded as a highly productive area, in particular the Barents Sea (<xref ref-type="bibr" rid="B82">Sakshaug and Slagstad, 1991</xref>; <xref ref-type="bibr" rid="B81">Sakshaug, 1997</xref>; <xref ref-type="bibr" rid="B17">Carmack and Wassmann, 2006</xref>). This area has some of the world&#x2019;s largest pelagic fish stocks, such as Norwegian spring-spawning herring (<italic>Clupea harengus</italic>), capelin (<italic>Mallotus villosus</italic>) and cod (<italic>Gadus morhua</italic>). Northeast Arctic cod and haddock are the largest stocks of these species in the world (<xref ref-type="bibr" rid="B44">Hop and Gj&#xf8;s&#xe6;ter, 2013</xref>; <xref ref-type="bibr" rid="B39">Hansen et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B46">Johannesen et&#xa0;al., 2019</xref>). The high productivity of this area also supports a large biomass of marine predators such as cetaceans, pinnipeds, seabirds and large fishes (<xref ref-type="bibr" rid="B87">Skern-Mauritzen et&#xa0;al., 2022</xref>). Marine predators are frequently observed in these productive waters exploiting the abundant prey resources (<xref ref-type="bibr" rid="B33">Gj&#xf8;s&#xe6;ter et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B91">van der Meeren and Prozorkevich, 2019</xref>; <xref ref-type="bibr" rid="B38">Hamilton et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B87">Skern-Mauritzen et&#xa0;al., 2022</xref>). During the summer and autumn, northeast Atlantic humpback whales forage throughout the Norwegian and Barents Seas and around Iceland (<xref ref-type="bibr" rid="B19">Christensen et&#xa0;al., 1992</xref>; <xref ref-type="bibr" rid="B60">Leonard and &#xd8;ien, 2020</xref>; <xref ref-type="bibr" rid="B38">Hamilton et&#xa0;al., 2021</xref>), and at least some proportion of the population also make use of abundant resources well into the winter season (<xref ref-type="bibr" rid="B56">Kettemer et&#xa0;al., 2022</xref>).</p>
<p>In the Barents Sea, humpback whales have been assumed to feed mainly on herring, capelin, and krill (<xref ref-type="bibr" rid="B64">L&#xf8;viknes et&#xa0;al., 2021</xref>). In the last decades, an increase of humpback whales and other baleen whales in the northern Barents Sea has been attributed to growing fish stocks (<xref ref-type="bibr" rid="B60">Leonard and &#xd8;ien, 2020</xref>). More generally, feeding hotspot areas in the Barents Sea for several marine mammal species overlap with the main feeding ground for adult capelin feeding on krill (<xref ref-type="bibr" rid="B91">van der Meeren and Prozorkevich, 2019</xref>; <xref ref-type="bibr" rid="B38">Hamilton et&#xa0;al., 2021</xref>). During summer months, shoals of capelin migrate to central and northern areas of the Barents Sea to feed, primarily on copepods and krill (<xref ref-type="bibr" rid="B22">Dalpadado et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B23">Dalpadado and Mowbray, 2013</xref>). While in these summer feeding grounds, capelin undertake diel vertical migrations, with a tendency to aggregate at deeper depths during the day and disperse towards the surface at night (<xref ref-type="bibr" rid="B23">Dalpadado and Mowbray, 2013</xref>; <xref ref-type="bibr" rid="B86">Skaret et&#xa0;al., 2020</xref> <xref ref-type="bibr" rid="B27">Fall et&#xa0;al., 2021</xref>). This pattern is believed to be linked to variations in light intensity. The tendency of capelin to undertake vertical migrations is attributed to following their primary prey, krill, which utilise diel vertical migration to evade visual predators. Similarly, capelin themselves likely also migrate to avoid their visual predators (<xref ref-type="bibr" rid="B32">Gj&#xf8;s&#xe6;ter, 1998</xref>; <xref ref-type="bibr" rid="B44">Hop and Gj&#xf8;s&#xe6;ter, 2013</xref>).</p>
<p>Two feeding modes are generally observed for humpback whales: ram feeding and lunge feeding (<xref ref-type="bibr" rid="B35">Goldbogen et&#xa0;al., 2013</xref>). Ram feeding is characterised by whales swimming through dense prey schools at constant, slow speeds with their mouths open, forcing water through their exposed baleen plates (<xref ref-type="bibr" rid="B35">Goldbogen et&#xa0;al., 2013</xref>). Lunging, on the other hand, is characterised by whales engulfing a large volume of prey-filled water at high speed, thereafter, filtering the water out with their mouths closed (<xref ref-type="bibr" rid="B35">Goldbogen et&#xa0;al., 2013</xref>). Feeding can occur at the surface, in shallow waters, and/or at depth and at the bottom (<xref ref-type="bibr" rid="B54">Jurasz and Jurasz, 1979</xref>; <xref ref-type="bibr" rid="B95">Ware et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B96">Ware et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B67">Mastick et&#xa0;al., 2022</xref>). While little is known about how humpback whales locate and track prey patches, presumably they use multiple senses, such as visual, auditory, and olfactory. They may also use memory of previously visited areas, rely on cues from conspecifics or anthropogenic cues such as the presence of fishing vessels.</p>
<p>One common limitation of previous marine mammal predator-prey telemetry-based studies is that they use indirect proxies of prey distribution. In this study we are able to examine the links between predator movements and the distribution of a key prey resource, capelin. Moreover, we account for horizontal movements (<italic>c.f.</italic> <xref ref-type="bibr" rid="B93">Vogel et&#xa0;al., 2021</xref>), as well as for vertical movements of whales in relation to their prey. The main objective of this study is to assess the degree to which northeast Atlantic humpback whale diving behaviour and spatial distribution is influenced by the spatial and vertical distribution of capelin in the Barents Sea using satellite telemetry and large-scale acoustic survey data. Our study aims to investigate: (1) the association between Barents Sea capelin distribution and both horizontal and vertical movements of humpback whales, (2) whether diel variations in light levels influence the horizontal movement behaviour of humpback whales, (3) how diel variations in humpback whale diving correlates with capelin vertical distribution and (4) the presence of individual variation in the behavioural responses of whales to capelin density.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Study site</title>
<p>Tagging (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>) was conducted between the 4<sup>th</sup> and 9<sup>th</sup> of September 2018 as part of a collaborative research cruise conducted between the University of Troms&#xf8; and Institute of Marine Research (IMR) within the Barents Sea, just east of Svalbard. The choice timing and location of tagging efforts was informed by previous humpback whale sightings data collected from prior annual Joint Norwegian/Russian ecosystem surveys in the Barents Sea and adjacent waters (<xref ref-type="bibr" rid="B91">van der Meeren and Prozorkevich, 2019</xref>). Tagging took place concurrently with the annual joint Barents Sea Norwegian/Russian ecosystem cruise (between August and October 2018) that was conducting its acoustic and biological surveying for capelin in the same area (dashed line, <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Tracks from 10 humpback whales (at 3-hr time interval steps) instrumented in the northern Barents Sea in September 2018 <bold>(A)</bold>. Dashed line in <bold>(A, B)</bold> show the spatial extant of the capelin modelled density. Red Box in inset indicates the spatial frame of <bold>(A, B)</bold>. <bold>(B)</bold> depicts the 2018 modelled relative capelin density distribution. Dark black indicates areas of higher relative density. <bold>(C)</bold> shows relative density of capelin with humpback whale move persistence (&#x3b3;<sub>t</sub>) estimate points between September 4<sup>th</sup> 2018 and October 31st overlaid, where yellow points indicate high &#x3b3;<sub>t</sub> (i.e. transiting behaviour) and dark purples indicate low &#x3b3;<sub>t</sub> (i.e. restricted foraging behaviour).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1254761-g001.tif"/>
</fig>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Tagging methods</title>
<p>Ten subdermally-anchored satellite tags (5 SPOT-303 tags and 5 SPLASH-302 tags, Wildlife Computers, Redmond, WA) were deployed using an Aerial Rocket Tagging System (ARTS, <xref ref-type="bibr" rid="B57">Kleivane et&#xa0;al., 2022</xref>) following best tagging practices described by <xref ref-type="bibr" rid="B2">Andrews et&#xa0;al. (2019)</xref>. Specifically, whales were slowly approached and tagged from a 20&#xa0;ft open rigid inflatable boat. Tags were placed below the dorsal fin and were sterilised with 70% ethanol before deployment. When possible, photographs of the flukes were taken, enabling identification of the individual whales and ensuring that the same individual was not tagged twice. Tagging was approved by the Norwegian Food Safety Authority (Mattilsynet) under permit FOTS ID 14135 2017/279575.</p>
<p>The five deployed SPOT tags provided transmissions used to drive estimates of geographic position using the doppler-shift of the signals received by Argos satellite receivers, as described at <ext-link ext-link-type="uri" xlink:href="https://www.argos-system.org">https://www.argos-system.org</ext-link>. These tags were programmed to send ~15 transmissions per hour for the first four months, then reduce to 12 transmissions per hour for the following three months, before finally reducing to 80 transmission per day until their batteries failed or the tag was lost. This programming schedule allowed for high temporal resolution data early in the tagging period and then coarser data later to prolong battery life in cases when tags remained attached for longer periods than expected. The five SPLASH tags similarly transmitted horizontal position data, whilst additionally recording information on the diving behaviour of the tagged animal. These tags were programmed to transmit 400 data transmissions per day, in order to receive as much behavioural dive information as possible during the main period of interest, i.e. the summer feeding season.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Tag data processing</title>
<p>Tag location data were pre-processed by Argos-CLS using their Kalman filter (<xref ref-type="bibr" rid="B63">Lopez et&#xa0;al., 2014</xref>). All subsequent data processing and statistical analyses were carried out using the R programming language (version 4.2.2, <xref ref-type="bibr" rid="B78">R Core Team, 2022</xref>). A continuous-time correlated random walk state-space model (CRW) implemented in the &#x2018;fit_ssm&#x2019; function in the &#x2018;aniMove&#x2019; R package (<xref ref-type="bibr" rid="B50">Jonsen et&#xa0;al., 2023</xref>) was used to estimate the most probable paths taken by each whale (<xref ref-type="bibr" rid="B51">Jonsen et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B52">Jonsen et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B50">Jonsen et&#xa0;al., 2023</xref>). Specifically, the CRW represents the most likely path an animal took based on the pre-filtered ARGOS position estimates by converting the non-uniform time series to a regularised path (<xref ref-type="bibr" rid="B48">Johnson et&#xa0;al., 2008</xref>), accounting for location uncertainty and temporally-irregular transmissions (<xref ref-type="bibr" rid="B49">Jonsen et&#xa0;al., 2005</xref>). This model enabled us to estimate whale positions while accounting for location uncertainty at regularised 3-hour intervals. Substantial gaps in tracking data can present challenges when fitting these types of models, such as unreliable predictions during these periods of data absence. To mitigate this issue, whale tracks containing a gap greater than 1 week were split prior to CRW modelling and further statistical analysis. A split-track segment was included in subsequent analyses only if it had at least 20 consecutive raw data points and there was at least one position each day.</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Humpback whale movements</title>
<sec id="s2_4_1">
<label>2.4.1</label>
<title>Horizontal movements-move persistence (&#x3b3;<sub>t</sub>)</title>
<p>Move persistence (&#x3b3;<sub>t</sub>) is a behavioural index that considers autocorrelation between consecutive movements of animal track locations and accounts for changes across both speed and heading (<xref ref-type="bibr" rid="B51">Jonsen et&#xa0;al., 2019</xref>). This continuous metric ranges from 0, indicating highly tortuous movements typically within a restricted area, associated with e.g. searching or foraging, to 1, representing consistent movements in terms of both directionality and speed (<xref ref-type="bibr" rid="B51">Jonsen et&#xa0;al., 2019</xref>). We selected move persistence as our metric of humpback whale horizontal movement behaviour, because it provides a continuous scale that allows for subtle difference in movement behaviour, rather than defining somewhat arbitrary discrete behavioural states (<xref ref-type="bibr" rid="B13">Breed et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B3">Auger-M&#xe9;th&#xe9; et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B25">Eisaguirre et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B51">Jonsen et&#xa0;al., 2019</xref>). The &#x2018;fit_mpm&#x2019; function in the &#x2018;aniMotum&#x2019; R package (<xref ref-type="bibr" rid="B50">Jonsen et&#xa0;al., 2023</xref>) was used to estimate pooled move persistence from the location data.</p>
</sec>
<sec id="s2_4_2">
<label>2.4.2</label>
<title>Vertical movements</title>
<p>SPLASH tags were programmed to optimise data collection for behavioural dive data. The tags recorded maximum dive depth, dive duration, dive start- and end-time for dives that were &#x2265;15 meters deep and &#x2265;2 minutes in duration. Like the horizontal position data, this data was also transmitted using Argos satellite receivers.</p>
</sec>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>Capelin density</title>
<p>Continuous acoustic data and biological data from trawl hauls were collected as part of the joint Russian/Norwegian annual Barents Sea ecosystem survey (<xref ref-type="bibr" rid="B26">Eriksen et&#xa0;al., 2018</xref>) between August and October 2018. The data were used to map the relative density of capelin in the Barents Sea where the 10 whales were tagged. Using a fleet of research vessels, the survey is designed to visit an equally-spaced station grid with 35 nautical miles between each station, where the ships collect trawl data, and other abiotic data. The vessels survey along transects connecting the stations, and additional transects between the station grid in the areas where most capelin is expected (<xref ref-type="bibr" rid="B91">van der Meeren and Prozorkevich, 2019</xref>). The vessels continuously sample acoustic echosounder data along the transects using SIMRAD EK60 or EK80 equipment calibrated according to standard procedures (<xref ref-type="bibr" rid="B24">Demer et&#xa0;al., 2015</xref>). The echosounder data were processed using the Large Scale Survey System software package as outlined by <xref ref-type="bibr" rid="B58">Korneliussen et&#xa0;al. (2006)</xref>. The classification and allocation of acoustic backscattering to biological categories was done by experts on board using a combination of acoustic signal characteristics and pelagic trawl catches, and with &#x2018;capelin&#x2019; as a target category. The resulting acoustic density values were stored by category as nautical area scattering coefficient (NASC; m<sup>2</sup>/nmi<sup>2</sup>) (<xref ref-type="bibr" rid="B65">Maclennan et&#xa0;al., 2002</xref>) with a horizontal resolution of 1 nautical mile and a vertical resolution of 10&#xa0;m. The abundance estimate of capelin used for assessment purposes is made in StoX (<xref ref-type="bibr" rid="B47">Johnsen et&#xa0;al., 2019</xref>), and combines the acoustic data at the resolution of 1 nautical miles (Elementary Distance Sampling Unit; EDSU) with biological data within a given pre-defined stratum using transects as Primary Sampling Unit (PSU). We used the R-package &#x2018;RstoX&#x2019; (<xref ref-type="bibr" rid="B43">Holmin, 2019</xref>; <xref ref-type="bibr" rid="B47">Johnsen et&#xa0;al., 2019</xref>) to link the per-stratum biological data to acoustic data to obtain capelin density as biomass per EDSU.</p>
<p>Based on the vertically integrated EDSU density estimates from the above analysis, we created an interpolated capelin density surface, using the Integrated Nested Approximation model (INLA) and Template Model Builder (TMB) frameworks as implemented in the &#x2018;INLA&#x2019; and &#x2018;sdmTMB&#x2019; packages (<xref ref-type="bibr" rid="B80">Rue et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B62">Lindgren et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B66">Martins et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B61">Lindgren and Rue, 2015</xref>; <xref ref-type="bibr" rid="B59">Kristensen et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B1">Anderson et&#xa0;al., 2022</xref>). Here, we used the INLA functionality to create irregular triangulated meshes covering the entire survey region, where the mesh size is adapted to the sampling resolution such that areas with denser number of data points are associated with smaller mesh sizes. We then developed a spatial interpolation model in TMB, where unexplained variation in density is assumed to follow a Gaussian Random Field (GRF) process, and where spatial autocorrelation is governed by a Mat&#xe9;rn function with parameters estimated by TMB. To model spatial point processes, TMB uses the stochastic partial differential equation (SPDE) approach originally implemented in INLA (<xref ref-type="bibr" rid="B80">Rue et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B61">Lindgren and Rue, 2015</xref>). To account for the barrier effect caused by Svalbard&#x2019;s coastline, supporting barrier models were employed, as described in <xref ref-type="bibr" rid="B7">Bakka et&#xa0;al. (2016</xref>, <xref ref-type="bibr" rid="B6">2018</xref>, <xref ref-type="bibr" rid="B8">2019</xref>). Together, these spatial point-process methods were used on the capelin density point values along transects to interpolate relative capelin density as described previously in <xref ref-type="bibr" rid="B93">Vogel et&#xa0;al. (2021)</xref>. We assumed that the NASC-derived density values follow a negative binomial distribution. The resulting interpolated surface is thus assumed to represent the overall spatial capelin distribution throughout the entire the survey period (September &#x2013; October), as well as the entire vertical water column. Hereafter we refer to the resulting interpolated density surface as the &#x2018;relative capelin density field&#x2019;.</p>
</sec>
<sec id="s2_6">
<label>2.6</label>
<title>Capelin density whale interactions</title>
<sec id="s2_6_1">
<label>2.6.1</label>
<title>Horizontal interactions</title>
<p>To investigate how changes in time-varying move persistence (&#x3b3;<sub>t</sub>) calculated based on the whales&#x2019; three hrs-interpolated locations are influenced by environmental variables and how these relationships may vary between individuals, we used mixed-effect modelling using the &#x2018;mpmm&#x2019; package in R (<xref ref-type="bibr" rid="B3">Auger-M&#xe9;th&#xe9; et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B51">Jonsen et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B52">Jonsen et&#xa0;al., 2020</xref>). Specifically, we examined two environmental variables potentially correlated with humpback whale horizontal movements: (1) horizontal capelin density and (2) sun angle (as a proxy for light intensity), which is thought to be correlated with vertical distribution of capelin (<xref ref-type="bibr" rid="B32">Gj&#xf8;s&#xe6;ter, 1998</xref>; <xref ref-type="bibr" rid="B71">Mowbray, 2002</xref>). Light intensity was included to examine whether whales preferentially forage in lower light levels when capelin is closer to the surface, compared to when the capelin move down through the water column when light levels are higher. Based on the location and time of each whale track coordinate along each movement trajectory, a corresponding relative capelin biomass value was extracted from the relative capelin density field. Tracking points that occurred outside of this field were excluded from the analyses. Additionally, only tracking points that occurred in September or October 2018 were used in this study which overlapped with the capelin survey. Sun angle values were calculated for every point along each humpback whale trajectory based on their recorded location and time using the &#x2018;solarpos&#x2019; function from the &#x2018;maptools&#x2019; R package (<xref ref-type="bibr" rid="B12">Bivand and Lewin-Koh, 2021</xref>).</p>
<p>We modelled &#x3b3;<sub>t</sub> as a function of various combinations of the explanatory variables and random effects structures:</p>
<disp-formula>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mtext>logit</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3b3;</mml:mtext>
<mml:mtext>t</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:msub>
<mml:mtext>&#x3c1;</mml:mtext>
<mml:mtext>t</mml:mtext>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:msub>
<mml:mtext>&#x3b1;</mml:mtext>
<mml:mtext>t</mml:mtext>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c1;</mml:mtext>
<mml:mtext>t</mml:mtext>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:msub>
<mml:mtext>&#x3b1;</mml:mtext>
<mml:mtext>t</mml:mtext>
</mml:msub>
<mml:mo>|</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mtext>id</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>This equation allows for nine possible model permutations (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>) for how the two environmental explanatory variables (relative capelin density and sun angle) might influence whales move persistence. Fixed effects are represented by capelin density (&#x3c1;<sub>t</sub>) and sun angle (&#x3b1;<sub>t</sub>), and terms in parentheses indicate random slopes, with individual whale identifiers (id) representing random intercepts to assess the extent to which relationships may differ among individuals (see <xref ref-type="bibr" rid="B51">Jonsen et&#xa0;al., 2019</xref> for further details). The models were ranked based on changes in Akaike&#x2019;s information criterion (&#x394;AIC) and likelihood ratio (&#x394;LR).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Ranked list of mixed-effect models based on changes in Akaike&#x2019;s information criterion (&#x394;AIC) and likelihood ratios (&#x394;LR).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Model Formula</th>
<th valign="top" align="center">df</th>
<th valign="top" align="center">&#x394;AIC</th>
<th valign="top" align="center">&#x394;LR</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">
<bold>~ capelin density + sun angle + (capelin density + sun angle | id)</bold>
</td>
<td valign="top" align="left">
<bold>10</bold>
</td>
<td valign="top" align="left">
<bold>154012.85</bold>
</td>
<td valign="top" align="left">
<bold>153992.85</bold>
</td>
</tr>
<tr>
<td valign="top" align="left">~ capelin density + sun angle + (sun angle | id)</td>
<td valign="top" align="left">7</td>
<td valign="top" align="left">1.14</td>
<td valign="top" align="left">7.14</td>
</tr>
<tr>
<td valign="top" align="left">~ sun angle + (sun angle | id)</td>
<td valign="top" align="left">7</td>
<td valign="top" align="left">13.89</td>
<td valign="top" align="left">19.89</td>
</tr>
<tr>
<td valign="top" align="left">~ capelin density + sun angle + (1 id)</td>
<td valign="top" align="left">5</td>
<td valign="top" align="left">37.17</td>
<td valign="top" align="left">47.17</td>
</tr>
<tr>
<td valign="top" align="left">~ capelin density + sun angle + (capelin density | id)</td>
<td valign="top" align="left">7</td>
<td valign="top" align="left">39.88</td>
<td valign="top" align="left">45.88</td>
</tr>
<tr>
<td valign="top" align="left">~ sun angle + (1 | id)</td>
<td valign="top" align="left">5</td>
<td valign="top" align="left">52.75</td>
<td valign="top" align="left">62.75</td>
</tr>
<tr>
<td valign="top" align="left">~ capelin density + (1 | id)</td>
<td valign="top" align="left">5</td>
<td valign="top" align="left">75.49</td>
<td valign="top" align="left">85.49</td>
</tr>
<tr>
<td valign="top" align="left">~ capelin density + (capelin density | id)</td>
<td valign="top" align="left">7</td>
<td valign="top" align="left">77.34</td>
<td valign="top" align="left">83.34</td>
</tr>
<tr>
<td valign="top" align="left">~ 1 + (1|id)</td>
<td valign="top" align="left">5</td>
<td valign="top" align="left">102.00</td>
<td valign="top" align="left">112.00</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The highest ranked model is shown in bold and has corresponding absolute AIC and LC values shown, all others are relative &#x394;AIC and &#x394;LR to these values.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2_6_2">
<label>2.6.2</label>
<title>Vertical interactions</title>
<p>To further investigate how humpback whale movements were influenced by the spatial characteristics of capelin, we also compared the five whales with dive data records (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>) to NASC-derived capelin density within the capelin acoustic survey area (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>, dashed line). Only dive data occurring between September 4<sup>th</sup> 2018 (first day of tagging) and October 31<sup>st</sup> 2018 were used for dive analysis. The calculated vertical capelin distribution (at 10-meter depth resolution) was derived from the acoustic NASC values collected from the capelin survey, regardless of geographic location within the survey area, and was segmented by time of day. To do this, we first calculated 25<sup>th</sup>, 50<sup>th</sup> and 75<sup>th</sup> quantiles of humpback whale dive depths by hour using the &#x2018;quantile&#x2019; function from the &#x2018;qgam&#x2019; package (<xref ref-type="bibr" rid="B28">Fasiolo et&#xa0;al., 2017</xref>). We then calculated the mean NASC value of each 10m depth cell per hour. Using these depth bin averages, we calculated the weighted 25<sup>th</sup>, 50<sup>th</sup> and 75<sup>th</sup> quantiles for the capelin data using the &#x2018;Quantile&#x2019; function from the &#x2018;DescTools&#x2019; package (<xref ref-type="bibr" rid="B83">Signorell, 2023</xref>). Since quantile capelin data are a function of the NASC measurements, the mean NASC values per cell were used to weight the capelin centre of mass values.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Tag summary statistics.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="bottom" align="center">ID</th>
<th valign="bottom" align="center">Tag type</th>
<th valign="bottom" align="center">Tagging date</th>
<th valign="bottom" align="center">Tagging <break/>location</th>
<th valign="bottom" align="center">Last day of transmission</th>
<th valign="bottom" align="center">Tag <break/>duration (days)</th>
<th valign="bottom" align="center">Total Interpolated Positions</th>
<th valign="bottom" align="center">Extracted positions between tagging and October 31<sup>st</sup> 2018</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="bottom" align="center">47596</td>
<td valign="bottom" align="center">Spot</td>
<td valign="bottom" align="center">4/9/2018</td>
<td valign="bottom" align="center">78&#xb0;36&#x2019;N 29&#xb0;00&#x2019;E</td>
<td valign="bottom" align="center">17/11/2018</td>
<td valign="bottom" align="center">74</td>
<td valign="bottom" align="center">685</td>
<td valign="bottom" align="center">460</td>
</tr>
<tr>
<td valign="bottom" align="center">47597</td>
<td valign="bottom" align="center">Spot</td>
<td valign="bottom" align="center">4/9/2018</td>
<td valign="bottom" align="center">78&#xb0;24&#x2019;N 27&#xb0;42&#x2019;E</td>
<td valign="bottom" align="center">6/1/2019</td>
<td valign="bottom" align="center">124</td>
<td valign="bottom" align="center">1094</td>
<td valign="bottom" align="center">460</td>
</tr>
<tr>
<td valign="bottom" align="center">47599</td>
<td valign="bottom" align="center">Spot</td>
<td valign="bottom" align="center">4/9/2018</td>
<td valign="bottom" align="center">78&#xb0;06&#x2019;N 28&#xb0;30&#x2019;E</td>
<td valign="bottom" align="center">4/3/2019</td>
<td valign="bottom" align="center">181</td>
<td valign="bottom" align="center">1683</td>
<td valign="bottom" align="center">460</td>
</tr>
<tr>
<td valign="bottom" align="center">84494</td>
<td valign="bottom" align="center">Spot</td>
<td valign="bottom" align="center">5/9/2018</td>
<td valign="bottom" align="center">78&#xb0;36&#x2019;N 28&#xb0;06&#x2019;E</td>
<td valign="bottom" align="center">29/9/2018</td>
<td valign="bottom" align="center">24</td>
<td valign="bottom" align="center">191</td>
<td valign="bottom" align="center">191</td>
</tr>
<tr>
<td valign="bottom" align="center">171987</td>
<td valign="bottom" align="center">Spot</td>
<td valign="bottom" align="center">5/9/2018</td>
<td valign="bottom" align="center">78&#xb0;30&#x2019;N 29&#xb0;00&#x2019;E</td>
<td valign="bottom" align="center">28/10/2018</td>
<td valign="bottom" align="center">53</td>
<td valign="bottom" align="center">614</td>
<td valign="bottom" align="center">460</td>
</tr>
<tr>
<td valign="bottom" align="center">167842</td>
<td valign="bottom" align="center">Splash</td>
<td valign="bottom" align="center">8/9/2018</td>
<td valign="bottom" align="center">78&#xb0;45&#x2019;N 30&#xb0;39&#x2019;E</td>
<td valign="bottom" align="center">9/3/2019</td>
<td valign="bottom" align="center">161</td>
<td valign="bottom" align="center">437</td>
<td valign="bottom" align="center">148</td>
</tr>
<tr>
<td valign="bottom" align="center">167843</td>
<td valign="bottom" align="center">Splash</td>
<td valign="bottom" align="center">5/9/2018</td>
<td valign="bottom" align="center">78&#xb0;36&#x2019;N 28&#xb0;12&#x2019;E</td>
<td valign="bottom" align="center">22/12/2018</td>
<td valign="bottom" align="center">108</td>
<td valign="bottom" align="center">847</td>
<td valign="bottom" align="center">452</td>
</tr>
<tr>
<td valign="bottom" align="center">167844</td>
<td valign="bottom" align="center">Splash</td>
<td valign="bottom" align="center">4/9/2018</td>
<td valign="bottom" align="center">78&#xb0;36&#x2019;N 27&#xb0;48&#x2019;E</td>
<td valign="bottom" align="center">9/4/2019</td>
<td valign="bottom" align="center">217</td>
<td valign="bottom" align="center">1052</td>
<td valign="bottom" align="center">458</td>
</tr>
<tr>
<td valign="bottom" align="center">167845</td>
<td valign="bottom" align="center">Splash</td>
<td valign="bottom" align="center">4/9/2018</td>
<td valign="bottom" align="center">78&#xb0;24&#x2019;N 28&#xb0;42&#x2019;E</td>
<td valign="bottom" align="center">3/11/2018</td>
<td valign="bottom" align="center">60</td>
<td valign="bottom" align="center">470</td>
<td valign="bottom" align="center">459</td>
</tr>
<tr>
<td valign="bottom" align="center">47570</td>
<td valign="bottom" align="center">Splash</td>
<td valign="bottom" align="center">9/9/2018</td>
<td valign="bottom" align="center">78&#xb0;48&#x2019;N 29&#xb0;42&#x2019;E</td>
<td valign="bottom" align="center">20/4/2019</td>
<td valign="bottom" align="center">223</td>
<td valign="bottom" align="center">727</td>
<td valign="bottom" align="center">421</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The number of interpolated positions between tagging date and October 31<sup>st</sup> is the number of positions used to link whale behaviour and capelin density.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>To compare the whale dive depth with the weighted capelin depth, a Pearson&#x2019;s product-moment correlation test was performed on the hourly 50% quantile (median) values of both datasets. A linear regression model was used with the &#x2018;lm&#x2019; function from the &#x2018;stats&#x2019; package (<xref ref-type="bibr" rid="B78">R Core Team, 2022</xref>), using the 50% quantile of the humpback whale dive depths by hour as the response variable and the weighted 50% quantile of capelin depth by hour as the predictor variable.</p>
</sec>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Humpback whale tag performance</title>
<p>Tag duration was generally longer for Splash tags (60-223 days, mean=152, sd=55, n=5) than for Spot tags (24 &#x2013;181 days, mean=92, sd=55, n=5) (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). The period all ten whales were tracked within the area (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>; <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplemental Figure&#xa0;1</bold>
</xref>) covered by the capelin surveys between tagging date and October 31<sup>st</sup> ranged from 19 to 58 days (mean=50, sd=14). This gave a total of 208 whale-days of spatial overlap between capelin survey data and whale tracking data between tagging date and October 31<sup>st</sup> that were used for subsequent capelin-humpback whale horizontal interaction analysis.</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Horizontal humpback whale movements and distribution</title>
<p>The tracks of all ten whales exhibited highly clustered, tortuous movement patterns east of Svalbard on the Spitsbergen, Great and Central Banks (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1A</bold>
</xref>; <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplemental Figure&#xa0;2</bold>
</xref>), also reflected in clusters of low move persistence (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1C</bold>
</xref>), indicative of area-restricted search (ARS).</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Vertical humpback behaviour</title>
<p>The Splash tags recorded 13,530 humpback whale dives in total (ranging from 120 for 5701 per individual), where 10,692 of the dives occurred during the capelin survey period <bold>(</bold>
<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>; <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplemental Figure&#xa0;3</bold>
</xref> shows all recorded dives over a 5-month period for the 5 individuals tagged with Splash tags. A clear diurnal pattern can be seen is September and October (representing 79% of all dives recorded). A diurnal pattern was not observed in November, December, and January. Average dive depth across the full tracks of all individuals was 110 &#xb1; 80 meters, and average dive duration was 6 &#xb1; 3 minutes. Overall average dive depth between tagging and October 31<sup>st</sup> and within the survey area was 110 &#xb1; 78 meters, and average dive duration was 5 &#xb1; 2 minutes. The maximum recorded dive depth for an individual whale between tagging and October 31<sup>st</sup> was 352 meters.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Diving information from Splash satellite tags deployed on five individual humpback whales.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="bottom" align="left">ID</th>
<th valign="bottom" align="center">n dives</th>
<th valign="bottom" align="center">Mean dive depth (meters)</th>
<th valign="bottom" align="center">&#x3c3; dive depth (meters)</th>
<th valign="bottom" align="center">Max dive depth (meters)</th>
<th valign="bottom" align="center">Mean Dive duration (min)</th>
<th valign="bottom" align="center">&#x3c3; Dive duration (min)</th>
<th valign="bottom" align="center">Max dive duration (min)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="bottom" align="left">167842</td>
<td valign="bottom" align="left">75</td>
<td valign="bottom" align="left">106.66</td>
<td valign="bottom" align="left">83.82</td>
<td valign="bottom" align="left">319.75</td>
<td valign="bottom" align="left">8.31</td>
<td valign="bottom" align="left">7.09</td>
<td valign="bottom" align="left">43.47</td>
</tr>
<tr>
<td valign="bottom" align="left">167843</td>
<td valign="bottom" align="left">3260</td>
<td valign="bottom" align="left">111.94</td>
<td valign="bottom" align="left">74.43</td>
<td valign="bottom" align="left">327.75</td>
<td valign="bottom" align="left">5.13</td>
<td valign="bottom" align="left">2.20</td>
<td valign="bottom" align="left">14.70</td>
</tr>
<tr>
<td valign="bottom" align="left">167844</td>
<td valign="bottom" align="left">3848</td>
<td valign="bottom" align="left">112.57</td>
<td valign="bottom" align="left">80.16</td>
<td valign="bottom" align="left">351.75</td>
<td valign="bottom" align="left">5.93</td>
<td valign="bottom" align="left">2.65</td>
<td valign="bottom" align="left">20.73</td>
</tr>
<tr>
<td valign="bottom" align="left">167845</td>
<td valign="bottom" align="left">2839</td>
<td valign="bottom" align="left">110.88</td>
<td valign="bottom" align="left">80.97</td>
<td valign="bottom" align="left">335.75</td>
<td valign="bottom" align="left">5.19</td>
<td valign="bottom" align="left">2.40</td>
<td valign="bottom" align="left">18.67</td>
</tr>
<tr>
<td valign="bottom" align="left">47570</td>
<td valign="bottom" align="left">670</td>
<td valign="bottom" align="left">94.72</td>
<td valign="bottom" align="left">77.15</td>
<td valign="bottom" align="left">343.75</td>
<td valign="bottom" align="left">4.25</td>
<td valign="bottom" align="left">1.88</td>
<td valign="bottom" align="left">12.57</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Table summarises dives that were conducted between tagging date and October 31<sup>st</sup> 2018. ID numbers are given by the tag manufacturer.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>
<bold>(A)</bold> shows relative capelin density throughout the water column and throughout the day from the IMR/PINRO Barents Sea Ecosystem Acoustic survey for capelin. The log transformed NASC values taken throughout the water column give a capelin density at 10&#xa0;m depth bins. Here, dark blues indicate high relative capelin density and light blue indicate low relative capelin density. Superimposed over the capelin density is red points (representing median) and lines (representing 25-75% quantiles) of humpback dive depths. <bold>(B)</bold> again shows humpback whale dive depth median and 25%-75% quantiles in red with the same centre of mass capelin distribution in dark blue. Only dive data occurring between September 4<sup>th</sup> 2018 (first day of tagging) and October 31<sup>st</sup> 2018 were used because they overlapped temporally with the capelin survey. <bold>(C)</bold> shows the results from a linear regression model in red, with capelin median depth as the predictor and median humpback whale dive depth is the response variable.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1254761-g002.tif"/>
</fig>
<p>The 50<sup>th</sup> quantile of hourly humpback dive depths displays a clear diurnal pattern (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). On average, the whales dove deeper in the daytime between 06:00 and 13:00, and shallower at night between 16:00 and 00:00, with the intermediate hours spent shifting gradually.</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Capelin-Humpback whale interactions</title>
<sec id="s3_4_1">
<label>3.4.1</label>
<title>Horizontal interactions</title>
<p>There is a clear spatial co-occurrence between low move persistence areas of humpback whales and high capelin density patches (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1D</bold>
</xref>). On average, move persistence was inversely influenced by capelin biomass and sun angle (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). The most parsimonious model, logit(&#x3b3;<sub>t</sub>) = &#x3c1;<sub>t</sub> + &#x3b1;<sub>t</sub> + (&#x3c1;<sub>t</sub> + &#x3b1;<sub>t</sub> | id), included random intercept and slope terms, suggesting that there are individual differences in overall movement characteristics between whales. On average, humpback whales tended to exhibit restricted movements in areas of high capelin densities, suggesting foraging behaviour (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3A</bold>
</xref>). All but two of the whales (ID 167845, and to a lesser degree, ID 167843, <xref ref-type="supplementary-material" rid="SM1">
<bold>Supplemental Figure&#xa0;4</bold>
</xref>) responded this same way to changes in capelin biomass. The relationship between move persistence and sun angle was highly variable between individuals (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3B</bold>
</xref>), with seven individuals showing negative relationships while three had positive relationships. This suggests that humpback whales generally exhibit low move persistence when in high capelin density areas, whereas their relationship with sun angle is highly individual. The second ranked model logit (&#x3b3;<sub>t</sub>) = &#x3c1;<sub>t</sub> + &#x3b1;<sub>t</sub> + (&#x3b1;<sub>t</sub> | id), was also considered based on its &#x394;AIC (&lt;1.14) and its small LR values, as well as the belief that using AIC based rankings frequently selects for the most complex models (<xref ref-type="bibr" rid="B94">Wagenmakers and Farrell, 2004</xref>). This model considers capelin density as only influencing random intercepts, whilst sun angle was both random intercept and slope terms (<xref ref-type="supplementary-material" rid="SM1">
<bold>Supplemental Figure&#xa0;5</bold>
</xref>). This model indicated that all whales responded this same way to changes in capelin density, however whales respond individually to changes in sun angle, suggesting no clear relationship at the population level.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Most parsimonious model from mixed effect analysis of the relationship between humpback whale move persistence (&#x3b3;<sub>t</sub>) and relative capelin density <bold>(A)</bold> and sun angle (light intensity, <bold>(B)</bold>. Fixed effects are depicted in blue and random effects in yellow. As per the most parsimonious model [logit(&#x3b3;<sub>t</sub>) = &#x3c1;<sub>t</sub> + &#x3b1;<sub>t</sub> + (&#x3c1;<sub>t</sub> + &#x3b1;<sub>t</sub>id)] in <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>, both panels allow for random intercepts and random slopes.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-10-1254761-g003.tif"/>
</fig>
</sec>
<sec id="s3_4_2">
<label>3.4.2</label>
<title>Vertical interactions</title>
<p>We found a strong positive linear relationship between whale dive depth and capelin distribution (adjusted r<sup>2&#xa0;</sup>=&#xa0;0.6086, p = 4.21e-06, <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). This suggests that humpback whale dive depth increases with capelin depth.</p>
</sec>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>Humpback whales broadly follow the spatial distribution and vertical movements of capelin when on the summer feeding grounds in the Barents Sea. Reduced speed and directionality of horizontal movements within areas of high capelin density strongly suggest that humpback whales target high-density capelin areas. Past ecosystem surveys, opportunistic sightings, and whaling records have all indicated that the area east of the Svalbard archipelago is an important foraging ground for northeast Atlantic humpback whales during late summer and fall (<xref ref-type="bibr" rid="B73">N&#xf8;ttestad et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B92">van der Meeren and Prozorkevich, 2018</xref>; <xref ref-type="bibr" rid="B38">Hamilton et&#xa0;al., 2021</xref>). In addition, <xref ref-type="bibr" rid="B79">Ressler et&#xa0;al. (2015)</xref> found, based on visual whale sightings and echosounder caplin data, that humpback whale distribution correlated with the acoustic estimates of capelin. Through the use of satellite tracking, our study expanded on <xref ref-type="bibr" rid="B79">Ressler et&#xa0;al. (2015)</xref> by correlating individual humpback whale movement behaviour with capelin density. This supports the hypothesis that capelin are either (A) directly a key prey species for humpback whales during the late summer in the Barents Sea, or (B) that capelin and humpbacks target the same prey species, such as copepods and krill. Regardless of whether either or both of these hypotheses are true, our finding of humpback whales foraging movements being influenced by changes in capelin density distribution supports the strong link between humpback whales and capelin.</p>
<p>In addition to the strong negative relationship between capelin biomass and move persistence, our most parsimonious model also suggested that light intensity influenced the movement behaviour of humpback whales. Overall, the negative relationship between light intensity and whale move persistence suggests that whales display area-restricted foraging behaviour at higher sun intensities. This could reflect the whales diving deeper during the day to reach the capelin that migrate to the deep when light intensities are stronger (<xref ref-type="bibr" rid="B23">Dalpadado and Mowbray, 2013</xref>; <xref ref-type="bibr" rid="B86">Skaret et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B27">Fall et&#xa0;al., 2021</xref>), and therefore the whales have restricted surface behaviours. However, the substantial variability in the individual responses to light intensity suggests that this relationship is not uniform across individuals and may simply be a spurious artifact. For example, this individual variability could be due to the variations across both tag retention time and the amount of time each whale spent within the geographical limits of the capelin surveys in the Barents Sea. Furthermore, seeing as in the summer, light is consistently intense (high sun angle) in the Barents Sea due to its high latitude. Some whales stayed in this northern foraging area throughout the polar night until as late as January, well after the sun has ceased to rise over the horizon. It is plausible that the 3&#xa0;h reconstructed step intervals used in this study might not provide sufficient temporal resolution to detect variations in the horizontal whale movements caused by capelin diel vertical migrations (<xref ref-type="bibr" rid="B76">Postlethwaite and Dennis, 2013</xref>). Similarly, the vertical migrations of capelin in the water column only influence the dive depth patterns of humpback whales, and not their horizontal movements (or at least not at this resolution). This is consistent with our finding of whale depths consistently following the capelin depths throughout the day and night. This explanation agrees with recent pinniped studies that suggesting that both vertical and horizontal movements need to be considered when examining seal foraging (<xref ref-type="bibr" rid="B9">Bestley et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B18">Carter et&#xa0;al., 2016</xref>). Fine-scale studies of humpback whale diving behaviour in other regions (e.g. <xref ref-type="bibr" rid="B31">Friedlaender et&#xa0;al., 2013</xref>) have found strong diel variations in their dive behaviours relating to variations to their prey and its relationship to light.</p>
<p>We also showed a strong positive correlation between whale dive depth and vertical capelin distribution. During the capelin survey period, August-October, capelin were found concentrating at the surface at night and moving deeper during the day. Correspondingly, humpback whale dive depths (between September and October) also showed a diurnal vertical pattern matching the capelin distribution. This diel vertical pattern in humpback whale diving behaviour likely reflects feeding on the densest patches of capelin, suggesting that humpback whales adjust their diving behaviour in response to capelin density distributions in the water column. Our findings are consistent with previous studies showing that foraging humpback whales in other waters maximised their energetic gain by targeting the densest prey depth layers to optimise their energy efficiency (<xref ref-type="bibr" rid="B34">Goldbogen et&#xa0;al., 2008</xref>; <xref ref-type="bibr" rid="B95">Ware et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B31">Friedlaender et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B16">Burrows et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B30">Friedlaender et&#xa0;al., 2016</xref>). Our results also suggest that humpback whales may feed throughout the day and night, which may help explain the complex relationship between horizontal move persistence and sun angle. The diurnal pattern of whale dive depth observed in September and October was not observed in November, December, or January. This might be expected since the attenuation of diurnal diving patterns in other polar marine mammals has been observed in winter (<xref ref-type="bibr" rid="B11">Biuw et&#xa0;al., 2010</xref>). Furthermore, since the number of dives recorded in November, December and January were limited, and only represented 21% of the total dive data, it is possible that the limited number of dives was insufficient to statistically reveal any underlying dive depth patterns.</p>
<p>While our results suggest a strong correlation between capelin distribution and humpback whale movements, it should be noted that there are differences in the spatial and temporal coverage of these datasets that might inadvertently introduce bias. The capelin biomass density field is based on directly measured NASC-derived capelin density that was limited to the geographical range covered by the acoustic surveys. To accommodate this, we limited our analyses to use only humpback whale location points that fell within the survey region. Furthermore, since the annual Barents Sea ecosystem cruise that collected the capelin data used in this study was conducted between August and October 2018, our INLA analysis represents a static image of capelin density for this time-period. In contrast, our whale satellite tagging data sometimes extended for time periods past this period, and typically with higher temporal resolution. For this reason, the whale movement data used in our analysis, either horizontal or vertical, was truncated to only include data that matched both the geographic and temporal constraints of the capelin survey data. Our capelin density distribution models a static spatial distribution over the survey area, and our mixed-effects modelling assumes that this static distribution is representative of the capelin distribution over this time period. While the broad-scale spatial distribution of capelin is believed to remain relatively stable over the summer and fall months, we cannot discount the possibility of variations resulting from fine-scale physical and biological oceanic dynamics that might occur. These variations could potentially influence whale movements. Nonetheless, the fact that we observed correlations between our static capelin distribution and our dynamic whale horizontal movements suggest that our static image captures the key aspects of the capelin distribution during this period, and therefore provides valuable information about predator-prey interactions. Similar analyses have previously found good agreement between herring distribution and killer whale move movement patterns in the Norwegian Sea (<xref ref-type="bibr" rid="B93">Vogel et&#xa0;al., 2021</xref>).</p>
<p>Our comparison of whale depth movements and capelin depth distribution also involves certain assumptions related to the spatial and temporal distributions of capelin that again might inadvertently introduce bias. For this comparison, we aggregated all the capelin depth data, regardless of location, to create a matrix of capelin density as a function of depth over time. Similarly, our whale depth data was aggregated within the survey region, to reveal whale depth use as a function of time of the day. This analysis does not consider the possibility that the depth uses of capelin and whales might differ geographically over the survey area. Regardless, the strong correlation between whale and capelin hourly depth suggests that their depth uses were relatively stable across the survey region, and again provides insight into the humpback whale-capelin predator prey interactions. The vertical movements of diving air-breathing animals almost certainly influence their horizontal behaviour, and a horizontal movement model would therefore most likely be improved by inclusion of such vertical information (<xref ref-type="bibr" rid="B9">Bestley et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B69">McClintock et&#xa0;al., 2017</xref>). However, in this study, only half of the whales were tagged with Splash tags (n=5) that provided both horizontal and vertical movement information. While this limited sample size is likely be sufficient for providing an indication of the relationship between the vertical diving behaviour and the vertical prey distribution, these data were too sparse for developing and fitting a complex three-dimensional model. For this reason, we analysed the horizontal and vertical movement and prey distribution data separately. A comparative study of three-dimensional whale movement in relation to the three-dimensional distribution of their prey might add further insight into whale predator prey behaviour. Future studies using only Splash tags are warranted to explore this multidimensional analysis.</p>
<p>This study presents direct evidence of the influence capelin density has on humpback whale movements in the Barents Sea, without relying on prey proxies. It highlights the direct relationship between prey and predator movements, emphasizing the importance of measuring prey density for a deeper understanding of marine predator-prey dynamics. This study also provides a timepoint against which future changes in humpback whale foraging behaviour and responses to environmental changes can be assessed.</p>
</sec>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The animal study was approved by the Norwegian Food Safety Authority 123 (Mattilsynet) under permit FOTS ID 14135 2017/279575. The study was conducted in accordance with the local legislation and institutional requirements.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>EV: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. SS: Data curation, Formal Analysis, Investigation, Writing &#x2013; original draft. MB: Conceptualization, Investigation, Methodology, Supervision, Validation, Visualization, Writing &#x2013; review &amp; editing. M-AB: Formal Analysis, Investigation, Supervision, Writing &#x2013; review &amp; editing. LK: Data curation, Writing &#x2013; review &amp; editing. GS: Methodology, Validation, Writing &#x2013; review &amp; editing, Investigation. N&#xd8;: Data curation, Writing &#x2013; review &amp; editing. AR: Conceptualization, Funding acquisition, Investigation, Resources, Supervision, Writing &#x2013; review &amp; editing.</p>
</sec>
</body>
<back>
<ack>
<title>Acknowledgments</title>
<p>We thank the research teams and crew, in particular Kjell-Arne Fagerheim and Lisa Kettemer, for their support during fieldwork. This project was part of the &#x201c;Whalefeast project&#x201d; (financed by The Regional Research Council in Troms). We also thank Jennifer Arthur for her assistance in GIS to render the maps in our figures.</p>
</ack>
<sec id="s8" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s9" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<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.2023.1254761/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2023.1254761/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
</sec>
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