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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.2016.00185</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>Impacts of Intraguild Predation on Arctic Copepod Communities</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Dufour</surname> <given-names>Karolane</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/314261/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Maps</surname> <given-names>Fr&#x000E9;d&#x000E9;ric</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/367868/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Plourde</surname> <given-names>St&#x000E9;phane</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Joly</surname> <given-names>Pierre</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/375022/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Cyr</surname> <given-names>Fr&#x000E9;d&#x000E9;ric</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/365945/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Takuvik Joint International Laboratory, Universit&#x000E9; Laval (Canada) &#x02013; Centre National de la Recherche Scientifique (France), Qu&#x000E9;bec-Oc&#x000E9;an and D&#x000E9;partement de Biologie at Universit&#x000E9; Laval</institution> <country>Qu&#x000E9;bec, QC, Canada</country></aff>
<aff id="aff2"><sup>2</sup><institution>Institut Maurice-Lamontagne, Department of Fisheries and Oceans Canada</institution> <country>Mont-Joli, QC, Canada</country></aff>
<aff id="aff3"><sup>3</sup><institution>Aix-Marseille Universit&#x000E9;, Universit&#x000E9; de Toulon, Centre National de la Recherche Scientifique/INSU, IRD, Mediterranean Institute of Oceanography, UM 110</institution> <country>Marseille, France</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Susanne Menden-Deuer, University of Rhode Island, USA</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Jose M. Riascos, Universidad del Valle, Colombia; &#x000D8;yvind Fiksen, University of Bergen, Norway</p></fn>
<fn fn-type="corresp" id="fn001"><p>&#x0002A;Correspondence: Karolane Dufour <email>karolane.dufour&#x00040;gmail.com</email></p></fn>
<fn fn-type="other" id="fn002"><p>This article was submitted to Marine Ecosystem Ecology, a section of the journal Frontiers in Marine Science</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>23</day>
<month>09</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="collection">
<year>2016</year>
</pub-date>
<volume>3</volume>
<elocation-id>185</elocation-id>
<history>
<date date-type="received">
<day>29</day>
<month>07</month>
<year>2016</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>09</month>
<year>2016</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2016 Dufour, Maps, Plourde, Joly and Cyr.</copyright-statement>
<copyright-year>2016</copyright-year>
<copyright-holder>Dufour, Maps, Plourde, Joly and Cyr</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) or licensor 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>Communities of large copepods form an essential hub of matter and energy fluxes in Arctic marine food webs. Intraguild predation on eggs and early larval stages occurs among the different species of those communities and it has been hypothesized to impact its structure and function. In order to better understand the interactions between dominant copepod species in the Arctic, we conducted laboratory experiments that quantified intraguild predation between the conspicuous and omnivorous <italic>Metridia longa</italic> and the dominant <italic>Calanus hyperboreus</italic>. We recorded individual egg ingestion rates for several conditions of temperature, egg concentration, and alternative food presence. In each of these experiments, at least some females ingested eggs but individual ingestion rates were highly variable. The global mean ingestion rate of <italic>M. longa</italic> on <italic>C. hyperboreus</italic> eggs was 5.8 eggs ind<sup>&#x02212;1</sup> d<sup>&#x02212;1</sup>, or an estimated 37% of <italic>M. longa</italic> daily metabolic need. Among the different factors tested and the various individual traits considered (prosome length, condition index), only the egg concentration had a significant and positive effect on ingestion rates. We further explored the potential ecological impacts of intraguild predation in a simple 1D numerical model of <italic>C. hyperboreus</italic> eggs vertical distribution in the Amundsen Gulf. Our modeling results showed an asymmetric relationship in that <italic>M. longa</italic> has little potential impact on the recruitment of <italic>C. hyperboreus</italic> (&#x0003C;3% egg standing stock removed by IGP at most) whereas the eggs intercepted by the former can account for a significant portion of its metabolic requirement during winter (up to a third).</p>
</abstract>
<kwd-group>
<kwd>intraguild predation</kwd>
<kwd>copepods</kwd>
<kwd><italic>Metridia longa</italic></kwd>
<kwd><italic>Calanus hyperboreus</italic></kwd>
<kwd>Arctic regions</kwd>
<kwd>numerical modeling</kwd>
</kwd-group>
<contract-num rid="cn001">RGPIN-2014-05433</contract-num>
<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>
<contract-sponsor id="cn002">Fisheries and Oceans Canada<named-content content-type="fundref-id">10.13039/501100000041</named-content></contract-sponsor>
<counts>
<fig-count count="7"/>
<table-count count="2"/>
<equation-count count="11"/>
<ref-count count="57"/>
<page-count count="13"/>
<word-count count="9714"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Arctic and subarctic marine food webs are characterized by the presence of large calanoid copepods that channel primary production toward secondary consumers. Copepods have developed life cycle strategies that allow them to thrive in these highly seasonal environments. In the Arctic Ocean, several species of <italic>Calanus</italic> dominate the mesozooplankton biomass (Head et al., <xref ref-type="bibr" rid="B22">2003</xref>; Hopcroft et al., <xref ref-type="bibr" rid="B26">2010</xref>). During the short productive period in spring and summer, copepods feed on ice algae (when available in ice-covered regions) and phytoplankton and concentrate this energy into lipids, mostly stored as wax ester in hypertrophied oil sacs (Lee et al., <xref ref-type="bibr" rid="B34">2006</xref>). In winter, they survive thanks to those lipid reserves that fuel their reduced metabolism during an extended period of dormancy (the diapause). All year long, copepods are an essential food source for many predators such as bowhead whale, little auk, and above all Arctic cod, a cornerstone component of the Arctic food web (Fort et al., <xref ref-type="bibr" rid="B17">2010</xref>; Falardeau et al., <xref ref-type="bibr" rid="B15">2013</xref>; Pomerleau et al., <xref ref-type="bibr" rid="B47">2014</xref>). Thus, communities of large copepods form a critical hub of matter and energy fluxes in Arctic and subarctic marine food webs.</p>
<p>In the Arctic, copepod community biomass is mainly composed of the large species <italic>Calanus hyperboreus</italic> and <italic>Calanus glacialis</italic> (adult female median prosome length of 6.7 and 4.1 mm, respectively), the medium-sized <italic>Metridia longa</italic> (2.8 mm) and the small <italic>Pseudocalanus</italic> spp. (1.1 mm) (Darnis et al., <xref ref-type="bibr" rid="B13">2012</xref>). Following the current dynamics, the boreal species <italic>C. finmarchicus</italic> is also regularly found in marginal Arctic seas, especially in the eastern Greenland Sea and Barents Sea (Conover and Huntley, <xref ref-type="bibr" rid="B9">1991</xref>). Moreover, <italic>C. finmarchicus</italic>&#x00027; biogeographic distribution in the surface layer is projected to move even farther northward in response to surface circulation and temperature forcing induced by climate change (Reygondeau and Beaugrand, <xref ref-type="bibr" rid="B51">2011</xref>). The structure and functions of copepod communities are critical from an energetic point of view for marine ecosystems and depend on the actual assemblage of species. From one species to the other, the oil sac size is different and therefore the energetic content differs. <italic>C. hyperboreus</italic> and <italic>C. glacialis</italic> are bigger and contain more lipids than the boreal <italic>C. finmarchicus</italic>. Consequently, many small visual predators such as fish larvae and juveniles, would reap a larger energetic reward for a similar harvesting effort, making these Arctic copepod species the preys of choice. Hence, changes in the assemblage of copepods communities could impact marine predators&#x00027; recruitment, resulting in a form of bottom-up control (Mills et al., <xref ref-type="bibr" rid="B38">2013</xref>; Greene and Pershing, <xref ref-type="bibr" rid="B20">2014</xref>). For example, along the West coast of the Spitsbergen island in the Svalbard archipelago, the increase of warm Atlantic water masses that bring along abundant <italic>C. finmarchicus</italic> may have a negative impact on the reproductive success of little auks by reducing the relative abundance of its preferred prey, <italic>C. glacialis</italic> (Kwasniewski et al., <xref ref-type="bibr" rid="B32">2010</xref>). In order to understand and predict impacts of environmental changes on Arctic marine ecosystems, it is necessary to better understand the mechanisms responsible for the specific assemblages of copepod communities.</p>
<p>In addition to physical forcing, relationships occurring within copepod communities can influence their structures and functions. Species that follow each other and co-occur in a community not only share food and space resources, but also develop complex interactions between them. Intraguild predation (IGP) has been proposed as an ecological strategy that could structure copepod communities (Irigoien and Harris, <xref ref-type="bibr" rid="B28">2006</xref>; Plourde et al., <xref ref-type="bibr" rid="B45">2009</xref>; Darnis, <xref ref-type="bibr" rid="B11">2013</xref>; Melle et al., <xref ref-type="bibr" rid="B36">2014</xref>). This particular type of predation occurs between members of a group of species that share the same food resources (Polis et al., <xref ref-type="bibr" rid="B46">1989</xref>). This phenomenon is widespread across a variety of marine and terrestrial ecosystems and through all taxonomic and trophic levels (Polis et al., <xref ref-type="bibr" rid="B46">1989</xref>; Holt and Polis, <xref ref-type="bibr" rid="B25">1997</xref>; Arim and Marquet, <xref ref-type="bibr" rid="B1">2004</xref>). This complex interaction is particularly interesting since it results in an immediate energy gain for the predator as well as a long term reduction of its competition (Hiltunen et al., <xref ref-type="bibr" rid="B23">2013</xref>).</p>
<p>In copepod populations, survival rate to adulthood is strongly influenced by egg and nauplii mortality (Davis, <xref ref-type="bibr" rid="B14">1984</xref>; Plourde et al., <xref ref-type="bibr" rid="B45">2009</xref>). Egg mortality is particularly high in broadcast spawning species that release their eggs in the water column (Ohman et al., <xref ref-type="bibr" rid="B42">2004</xref>), such as <italic>Calanus</italic> spp and <italic>M. longa</italic>. Although predominantly considered to be herbivorous, most calanoid copepod species have a flexible diet and can be omnivorous or even cannibalistic (Landry, <xref ref-type="bibr" rid="B33">1981</xref>; Ohman and Hirche, <xref ref-type="bibr" rid="B41">2001</xref>; Bonnet, <xref ref-type="bibr" rid="B6">2004</xref>; Basedow and Tande, <xref ref-type="bibr" rid="B5">2006</xref>). These species usually generate a filtration current to obtain small prey, essentially phytoplankton and micro-zooplankton, or cruise through the water and attack when a prey is detected (Ki&#x000F8;rboe, <xref ref-type="bibr" rid="B31">2013</xref>). Thus, they can consume eggs and young nauplii stages with limited mobility.</p>
<p>Cannibalism on eggs and nauplii can control the phenology of <italic>C. finmarchicus</italic> recruitment (Ohman and Hirche, <xref ref-type="bibr" rid="B41">2001</xref>). It is therefore likely that IGP can impact recruitment as well as influencing the temporal succession of dominant species (Irigoien and Harris, <xref ref-type="bibr" rid="B28">2006</xref>). In environments as contrasted as the Beaufort Sea and the St-Lawrence estuary, reduced <italic>C. hyperboreus</italic> recruitment and abundance co-occurred with an increase in <italic>M. longa</italic> abundance (Plourde et al., <xref ref-type="bibr" rid="B43">2002</xref>; Darnis, <xref ref-type="bibr" rid="B11">2013</xref>). During the time of peak egg production by <italic>C. hyperboreus</italic>, the gut of individual <italic>M. longa</italic> is often observed to be orange, a particularity linked to the probable ingestion of lipid-rich <italic>C. hyperboreus</italic> eggs (Conover and Huntley, <xref ref-type="bibr" rid="B9">1991</xref>). Hence it has been hypothesized that <italic>M. longa</italic> individuals that remain active at intermediate depths throughout winter (no diapause) could intercept and ingest buoyant <italic>C. hyperboreus</italic> eggs that are spawned in deep waters (Plourde et al., <xref ref-type="bibr" rid="B44">2003</xref>; Darnis, <xref ref-type="bibr" rid="B11">2013</xref>). Given that <italic>M. longa</italic> population dynamics resources are scarce in winter, lipid-rich eggs could represent an important energy source for such an omnivorous (opportunistic) species. Later in early spring, numerous <italic>C. hyperboreus</italic> and <italic>C. glacialis</italic> that emerge from diapause and ascend toward the surface ahead of the phytoplankton bloom could also be feeding on eggs and young nauplii stages. Consequently, IGP could impact the recruitment of the true Arctic <italic>C. hyperboreus</italic>.</p>
<p>Surprisingly, only few studies have been conducted on predation within calanoid copepod communities (Landry, <xref ref-type="bibr" rid="B33">1981</xref>; Huntley and Escritor, <xref ref-type="bibr" rid="B27">1992</xref>; Bonnet, <xref ref-type="bibr" rid="B6">2004</xref>; Basedow and Tande, <xref ref-type="bibr" rid="B5">2006</xref>; Vestheim et al., <xref ref-type="bibr" rid="B56">2013</xref>). The majority of the studies targeted cannibalism and while none was focused on IGP between the dominant Arctic species <italic>M. longa</italic> and <italic>C. hyperboreus</italic>, Huntley and Escritor (<xref ref-type="bibr" rid="B27">1992</xref>) reported ingestion rates of the vicariant species <italic>M. gerlachei</italic> on eggs of the dominant Antarctic <italic>Calanoides acutus</italic> in the Austral Ocean. In all experiments, ingestion rates on eggs (and nauplii) vary according to their concentration. The influence of alternative food source on ingestion produced ambiguous experimental results. On one hand, experiments with female <italic>C. pacificus</italic> suggest a switch between herbivorous and carnivorous behavior that depends on the relative abundances of phytoplankton and their own nauplii (Landry, <xref ref-type="bibr" rid="B33">1981</xref>). On the other hand, experiments with <italic>C. finmarchicus</italic> have shown that ingestion rates on its own nauplii are independent of the ambient algae concentration (Basedow and Tande, <xref ref-type="bibr" rid="B5">2006</xref>).</p>
<p>Copepod community models have been developed with a focus on development, growth and competition for food resources (Record et al., <xref ref-type="bibr" rid="B49">2012</xref>, <xref ref-type="bibr" rid="B50">2013</xref>). However, community level processes involving interspecific interactions such as IGP have not yet been implemented into these models. In order to provide a better understanding of IGP and to provide a better parameterization for models of copepod communities, we conducted laboratory experiments that quantified the ingestion of copepod eggs by some of the dominant Arctic copepod species, <italic>M. longa</italic> and <italic>C. hyperboreus</italic>. We further conducted a simple numerical experiment in order to assess the potential ecological implications of our findings in Arctic marine ecosystems. Copepods were sampled in the Lower St-Lawrence estuary (LSLE) and feeding experiments on eggs were conducted under different conditions of temperature, egg concentration, and alternative food availability.</p>
</sec>
<sec sec-type="methods" id="s2">
<title>Methods</title>
<sec>
<title>Area of study and sampling</title>
<p>The LSLE is the southernmost sea directly influenced by Arctic water masses and that presents Arctic features in the North Atlantic (Figure <xref ref-type="fig" rid="F1">1</xref>). Arctic water masses enter in the Gulf of St-Lawrence (GSL) by the Strait of Belle Isle in the North, transporting Arctic copepods species such as <italic>C. hyperboreus, C. glacialis</italic>, and <italic>M. longa</italic>. Warmer North Atlantic water masses enter the system by Cabot Strait in the South and carry along boreal species such as <italic>C. finmarchicus</italic>. Both Arctic and temperate species thrive in the GSL system where cold and warm water masses are segregated vertically between the thin seasonal surface layer, the cold intermediate layer renewed locally each winter (core temperatures can be negative) and the deep Atlantic layer (between 4 and 5&#x000B0;C). Colder water masses dominate the eastern and northern parts of the Gulf and the deep lower Estuary where upstream tidal pumping brings cold and nutrient-rich waters to the surface, whereas warm surface waters (up to 20&#x000B0;C) develop throughout the summer over the shallow southern half of the Gulf (Saucier et al., <xref ref-type="bibr" rid="B52">2003</xref>; Le Fouest et al., <xref ref-type="bibr" rid="B35">2005</xref>). These particular water masses and species mix make the LSLE an exceptional experimental model to study IGP in the context of the rapid environmental changes that the Arctic is currently facing. Zooplankton was sampled in the LSLE (48&#x000B0;40&#x02032;N, 68&#x000B0;35&#x02032;W) in October 2014 with a vertical plankton net (158 &#x003BC;m mesh size, 1 m diameter) at 125 or 200 m from the surface at a towing speed of 0.5 m s<sup>&#x02212;1</sup>. The catch was diluted into 4 L jars filled with filtered seawater and maintained close to ambient temperature at 5 to 6&#x000B0;C in coolers during transport to the laboratory (less than an hour).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p><bold>Studied area</bold>. Arctic copepod species used in incubation experiments were sampled from the St. Lawrence Estuary. Environmental and biological forcing used in numerical experiments came from the Amundsen Gulf. Position of mean individual profiles shown in inset, upper-right corner.</p></caption>
<graphic xlink:href="fmars-03-00185-g0001.tif"/>
</fig>
<p>In a subsequent numerical experiment, we applied our observations to a truly Arctic environment, the Amundsen Gulf. The Amundsen Gulf is located in the Canadian territory of Nunavut at about 71&#x000B0;N and bordered by Banks Island and Victoria Island. It connects south-eastern Beaufort Sea to the Canadian archipelago (Figure <xref ref-type="fig" rid="F1">1</xref>). The Amundsen Gulf water masses are generally cold (around 0&#x000B0;C) and are mainly discriminated by their different salinities: the Polar-Mixed Layer from the surface to c.a. 50 m (S &#x0007E; 31.6), the Pacific Halocline below until 200 m (32.4 &#x0003C; S &#x0003C; 33.1) and the slightly warmer Atlantic Layer below 200 m (S &#x0007E; 34) (Carmack and Macdonald, <xref ref-type="bibr" rid="B8">2002</xref>). The Gulf covers about 60,000 km<sup>2</sup> and the maximum depth of this large channel is 630 m. In winter, it is entirely ice-covered except for sporadic polynyas and flaw leads and the spring ice-breakup his highly variable (Galley et al., <xref ref-type="bibr" rid="B18">2008</xref>).</p>
</sec>
<sec>
<title>Live animal sorting</title>
<p>Owing to the harsh conditions at sea during winter over the LSLE, copepods were sampled at the end of October 2014 prior to the beginning of <italic>C. hyperboreus</italic> reproduction and the formation of dense sea ice. Plourde et al. (<xref ref-type="bibr" rid="B44">2003</xref>) have previously shown, for a similar experimental setup, that capture and handling of <italic>C. hyperboreus</italic> females triggered gonad maturation, leading to egg production a few weeks after collection and approximately a month earlier than expected according to the <italic>in situ</italic> timing. A visual inspection of appendages and behavior under a binocular microscope allowed us to select adult female <italic>M. longa</italic> and <italic>C. hyperboreus</italic> in good condition from the live samples, within 48 h of the catch. Animals were kept in the dark between 3 and 5&#x000B0;C in groups of 25 to 50 in 1 L beakers equipped with egg separators (mesh size &#x0003D; 333 &#x003BC;m) and filled with filtered seawater. Female <italic>M. longa</italic> were fed with solutions of concentrated diatoms <italic>Thalassiosira weissflogii</italic> (Instant Algae&#x000AE; <italic>TW 1200</italic>), whereas female <italic>C. hyperboreus</italic> where not fed since egg production is entirely fuelled by internal lipids during the dormant part of their life cycle. The beakers were inspected daily for egg production for about a month until female <italic>C. hyperboreus</italic> spawned enough eggs to start the experiments.</p>
</sec>
<sec>
<title>Predation experiments</title>
<p>Within 48 h of the start of the experiment, individuals used as predators were photographed laterally using a PixeLINK camera of 5 Mb (PL-E425CU) mounted on a LEICA MZ6 stereoscope. In order to minimize stress, individuals were kept in cooled seawater until the very moment that the picture was taken and gently manipulated with handling needles. Prosome length (distance between the tip of the cephalosome and the tip of the last thoracic segment), prosome area, oil sac length, and area were measured with the software ImageJ v. 1.49. The condition index was estimated as the oil sac area divided by the prosome area of the individual in order to give an indication of its lipid content. Predators&#x00027; carbon content was estimated from species and stage-specific seasonal relationships between individual carbon mass and prosome length (Forest et al., <xref ref-type="bibr" rid="B16">2010</xref>). The photographed animals were then placed individually in 45 mL Petri dishes filled with filtered seawater and equipped with egg separator (mesh size &#x0003D; 333 &#x003BC;m) for acclimation at the experimental temperatures.</p>
<p>Experiments were carried in an atmosphere-controlled chamber in November 2014 with female <italic>M. longa</italic> fed with <italic>C. hyperboreus</italic> eggs. Predators were placed individually in a bottle (1.35 or 2.37 L) filled with filtered seawater containing a precise number of eggs spawned within the previous 48 h. Bottles were turned upside down once per minute on a rotating wheel in order to maintain the eggs in suspension. Manipulations were conducted under a dimmed red light and the experiments were carried in the dark. Incubation time was kept relatively short (less than 24 h) in order to avoid a complete consumption of the eggs and hence a failure to accurately estimate ingestion rates. It also varied according to incubation conditions, with longer incubation times for lower egg concentration (lower encounter probability between eggs and the predator). After 4 to 22 h, the contents of the bottles were filtered with a 73 &#x003BC;m sieve and the remaining eggs were counted. A minimum of two controls without predator for each treatment was set up in order to check the accuracy of the egg recovery method. The status of each individual was verified at the end of the experiment. Ingestion rates were discarded for the few dead individuals, and the sluggish or unhealthy-looking ones as well.</p>
<p>We tested the effect of temperature on <italic>M. longa</italic> ingestion of <italic>C. hyperboreus</italic> eggs. Incubations were carried at 1, 4, and 8&#x000B0;C to reflect the potential range of <italic>in situ</italic> water temperature encountered by this species between the Arctic and subarctic regions. Unfortunately, we could not test for negative water temperatures. In order to characterize functional responses, we tested the effect of <italic>C. hyperboreus</italic> egg concentration on <italic>M. longa</italic> ingestion rate. We were not aware of actual data about <italic>in situ C. hyperboreus</italic> egg concentrations in the water column, but we estimated it to be low (Huntley and Escritor, <xref ref-type="bibr" rid="B27">1992</xref>). Hence we chose concentrations of 5, 10, 20, and 30 egg L<sup>&#x02212;1</sup>. Finally, we checked whether there was an influence of alternative food availability, by adding an additional food source in the form of concentrated diatoms <italic>T. weissflogii</italic> (Instant Algae&#x000AE; <italic>TW 1200</italic>) in half of our replicates. Algae were offered at about 50 &#x003BC;g C L<sup>&#x02212;1</sup> according to cell concentration determined with a Hausser Bright-Line Hemacytomer (couting chamber) and carbon to volume relationships for diatoms (Menden-Deuer and Lessard, <xref ref-type="bibr" rid="B37">2000</xref>).</p>
</sec>
<sec>
<title>Estimation of ingestion rates</title>
<p>The instantaneous feeding rate on eggs <italic>g</italic> (h<sup>&#x02212;1</sup>) was derived from an exponential equation (B&#x000E5;mstedt et al., <xref ref-type="bibr" rid="B3">2000</xref>):</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>g</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>l</mml:mi><mml:mi>n</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where <italic>E</italic><sub>0</sub> and <italic>E</italic><sub><italic>f</italic></sub> are respectively the egg concentration at beginning and the end of experiment (egg L<sup>&#x02212;1</sup>) and <italic>t</italic> is incubation time (h). The number of <italic>C. hyperboreus</italic> eggs obviously did not increase during the experiments, and experiment duration was not long enough for hatching to occur (no nauplii was ever found in any of the control or experiment bottles).</p>
<p>We deduced the clearance rate <italic>F</italic> (L ind<sup>&#x02212;1</sup> h<sup>&#x02212;1</sup>), which corresponds to the volume of water processed assuming 100% capture efficiency and a homogeneous food concentration, from both <italic>g</italic> and the volume of the incubation bottle <italic>V</italic> (L):</p>
<disp-formula id="E2"><label>(2)</label><mml:math id="M2"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mi>g</mml:mi><mml:mo>&#x000D7;</mml:mo><mml:mi>V</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Finally, we obtained the ingestion rate <italic>I</italic> (egg ind<sup>&#x02212;1</sup> h<sup>&#x02212;1</sup>) with:</p>
<disp-formula id="E3"><label>(3)</label><mml:math id="M3"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mi>F</mml:mi><mml:mo>&#x000D7;</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where [<italic>E</italic>] is the average egg concentration as given by:</p>
<disp-formula id="E4"><label>(4)</label><mml:math id="M4"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x000D7;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mfrac><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x02212;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mi>g</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x000D7;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>t</mml:mi><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mi>g</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x000D7;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Daily ingestion rates where assumed to be 24 times the hourly rates since <italic>M. longa</italic> is known to be active and swimming almost continuously (Hirche, <xref ref-type="bibr" rid="B24">1987</xref>). Egg ingestion rates were then converted in carbon units using an egg carbon content of 0.84 (&#x003BC;g C egg<sup>&#x02212;1</sup>; Plourde et al., <xref ref-type="bibr" rid="B44">2003</xref>). The proportion of daily metabolic needs (%) satisfied by egg ingestion was estimated from the ratio of carbon ingestion rate <italic>I</italic><sub><italic>C</italic></sub> &#x0003D; 0.84 <sup>&#x0002A;</sup> <italic>I</italic> (&#x003BC;g C ind<sup>&#x02212;1</sup> d<sup>&#x02212;1</sup>) and a mean and constant respiration rate (&#x003BC;g C ind<sup>&#x02212;1</sup> d<sup>&#x02212;1</sup>) measured by Seuthe et al. (<xref ref-type="bibr" rid="B54">2006</xref>).</p>
</sec>
<sec>
<title>Data analysis</title>
<p>The number of ingested eggs followed a Poisson distribution (an asymmetric right-skewed distribution of discrete values). Hence, in order to minimize estimating errors, a generalized linear model (GLM) for Poisson distribution was used to predict the number of eggs ingested (<italic>EI</italic>) (the raw data) according to temperature (<italic>T</italic>), egg concentration (<italic>E</italic>), presence of additional food source (<italic>AC</italic>), prosome length (<italic>PL</italic>), and condition index (<italic>CI</italic>) of the predator. Bottle volume (<italic>V</italic>) and duration of experiment (<italic>D</italic>) were taken into account by using them in an offset term. Several models were tested (with and without interactions) and we computed Akaike&#x00027;s information criterion corrected for overdispersion (QAIC) as a decision-support metric. The GLMs formulae were of the form (here is the one with all the independent variables but no interactions):</p>
<disp-formula id="E5"><label>(5)</label><mml:math id="M5"><mml:mtable columnalign='left'><mml:mtr><mml:mtd><mml:mi>log</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>E</mml:mi><mml:mi>I</mml:mi></mml:mrow><mml:mrow><mml:mi>D</mml:mi><mml:mo>&#x000D7;</mml:mo><mml:mi>V</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>&#x000A0;</mml:mo><mml:mo>+</mml:mo><mml:mo>&#x000A0;</mml:mo><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mi>T</mml:mi></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mi>T</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mo>&#x000A0;</mml:mo><mml:mo>+</mml:mo><mml:mo>&#x000A0;</mml:mo><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mi>E</mml:mi></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mi>E</mml:mi><mml:mo stretchy='false'>)</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>+</mml:mo><mml:mo>&#x000A0;</mml:mo><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mrow><mml:mi>A</mml:mi><mml:mi>C</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mi>A</mml:mi><mml:mi>C</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mo>&#x000A0;</mml:mo><mml:mo>+</mml:mo><mml:mo>&#x000A0;</mml:mo><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mrow><mml:mi>P</mml:mi><mml:mi>L</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mi>P</mml:mi><mml:mi>L</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mo>&#x000A0;</mml:mo><mml:mo>+</mml:mo><mml:mo>&#x000A0;</mml:mo><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>&#x003B2;</mml:mi><mml:mrow><mml:mi>C</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mi>C</mml:mi><mml:mi>I</mml:mi><mml:mo stretchy='false'>)</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where &#x003B2;<sub><italic>i</italic></sub> are the coefficient estimates for each variable. The number of eggs ingested per unit of time and volume can easily be obtained from this model results.</p>
</sec>
<sec>
<title>Model of egg vertical distribution</title>
<p>In order to assess the implications of our findings in the context of Arctic marine ecosystems, we developed a simple water column (1D) model of the vertical distribution of <italic>C. hyperboreus</italic> eggs in the Amundsen Gulf. The model computed the time evolution of egg concentration at a given depth according to advection and diffusion, gains by egg production and losses by development and predation (<bold>Figure 4</bold>). The rate of change of egg concentration followed the classical advection-diffusion-reaction formulation (Soetaert and Herman, <xref ref-type="bibr" rid="B55">2009</xref>):</p>
<disp-formula id="E7"><label>(6)</label><mml:math id="M7"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mfrac><mml:mrow><mml:mo>&#x02202;</mml:mo><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x02202;</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:mfrac><mml:mtext>&#x000A0;</mml:mtext><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mi>w</mml:mi><mml:mfrac><mml:mrow><mml:mo>&#x02202;</mml:mo><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x02202;</mml:mo><mml:mi>z</mml:mi></mml:mrow></mml:mfrac><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>K</mml:mi><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mo>&#x02202;</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x02202;</mml:mo><mml:msup><mml:mrow><mml:mi>z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>z</mml:mi></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:mi>I</mml:mi><mml:mo>*</mml:mo><mml:mi>M</mml:mi><mml:mo>&#x0002B;</mml:mo><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mi>H</mml:mi><mml:mo>*</mml:mo><mml:mi>E</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where the first right-hand side term represents the effect of egg vertical velocity, the second the effect of diffusion and the others several biological reaction terms. More specifically, <italic>E</italic> was the egg concentration (egg m<sup>&#x02212;3</sup>), <italic>t</italic> the time (h), <italic>w</italic> the egg velocity (m h<sup>&#x02212;1</sup>) defined positive downward, <italic>z</italic> the depth (m), <italic>K</italic> the vertical eddy diffusivity coefficient (m<sup>2</sup> h<sup>&#x02212;1</sup>), <italic>P</italic><sub><italic>Z</italic></sub> the depth-dependent egg production rate (egg m<sup>&#x02212;3</sup> h<sup>&#x02212;1</sup>), <italic>H</italic> the egg hatching time (h), M the females <italic>M. longa</italic> concentration (ind m<sup>&#x02212;3</sup>) and <italic>I</italic> the ingestion rate by other copepods (egg ind<sup>&#x02212;1</sup> h<sup>&#x02212;1</sup>). The egg velocity <italic>w</italic> was given by Stokes&#x00027; law (Visser and J&#x000F3;nasd&#x000F3;ttir, <xref ref-type="bibr" rid="B57">1999</xref>):</p>
<disp-formula id="E8"><label>(7)</label><mml:math id="M8"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>w</mml:mi><mml:mo>=</mml:mo><mml:mn>3600</mml:mn><mml:mo>&#x000D7;</mml:mo><mml:mfrac><mml:mrow><mml:mi>g</mml:mi><mml:mo>&#x000D7;</mml:mo><mml:msup><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>&#x000D7;</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mo>&#x003C1;</mml:mo></mml:mrow><mml:mrow><mml:mi>e</mml:mi><mml:mi>g</mml:mi><mml:mi>g</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mo>&#x003C1;</mml:mo></mml:mrow><mml:mrow><mml:mi>w</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>18</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x000D7;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x003BC;</mml:mo></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where <italic>g</italic> is the gravitational constant (9.81 m s<sup>&#x02212;2</sup>), <italic>d</italic> is the egg diameter (m), &#x003C1;<sub><italic>egg</italic></sub> is the egg density (g m<sup>&#x02212;3</sup>), &#x003C1;<sub><italic>water</italic></sub> is the water density (g m<sup>&#x02212;3</sup>) and &#x003BC; is the dynamic viscosity of the seawater (1.85 g m<sup>&#x02212;1</sup> s<sup>&#x02212;1</sup>), here taken as a constant (Table <xref ref-type="table" rid="T1">1</xref>).</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p><bold>Model parameters and references</bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Parameter</bold></th>
<th valign="top" align="left"><bold>Unit</bold></th>
<th valign="top" align="left"><bold>Value</bold></th>
<th valign="top" align="left"><bold>References</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>H</italic>, egg hatching time</td>
<td/>
<td/>
<td valign="top" align="left">JM2013</td>
</tr>
<tr>
<td valign="top" align="left"><italic>a</italic></td>
<td valign="top" align="left">d &#x000B0;C<sup>&#x02212;1</sup></td>
<td valign="top" align="left">1196</td>
<td valign="top" align="left">JM2013</td>
</tr>
<tr>
<td valign="top" align="left">&#x003B1;</td>
<td valign="top" align="left">&#x000B0;C</td>
<td valign="top" align="left">12.7</td>
<td valign="top" align="left">JM2013</td>
</tr>
<tr>
<td valign="top" align="left"><italic>b</italic></td>
<td valign="top" align="left">&#x02013;</td>
<td valign="top" align="left">&#x02212;2.05</td>
<td valign="top" align="left">JM2013</td>
</tr>
<tr>
<td valign="top" align="left"><italic>d</italic>, egg diameter</td>
<td valign="top" align="left">m</td>
<td valign="top" align="left">1.92 &#x000D7; 10<sup>&#x02212;4</sup></td>
<td valign="top" align="left">JM2013</td>
</tr>
<tr>
<td valign="top" align="left"><italic>P</italic>, egg production</td>
<td valign="top" align="left">egg m<sup>&#x02212;2</sup> d<sup>&#x02212;1</sup></td>
<td valign="top" align="left">30,000</td>
<td valign="top" align="left">D2013</td>
</tr>
<tr>
<td valign="top" align="left">&#x003C1;<sub>egg</sub>, egg density</td>
<td valign="top" align="left">g m<sup>&#x02212;3</sup></td>
<td valign="top" align="left">0.6 &#x000D7; 10<sup>3</sup> (min)</td>
<td valign="top" align="left">JM2013</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">19.4 &#x000D7; 10<sup>3</sup> (mean)</td>
<td valign="top" align="left">JM2013</td>
</tr>
<tr>
<td/>
<td/>
<td valign="top" align="left">26.8 &#x000D7; 10<sup>3</sup> (max)</td>
<td valign="top" align="left">JM2013</td>
</tr>
<tr>
<td valign="top" align="left">&#x003BC;, dynamic viscosity</td>
<td valign="top" align="left">g m<sup>&#x02212;1</sup> s<sup>&#x02212;1</sup></td>
<td valign="top" align="left">1.9</td>
<td valign="top" align="left">VJ1999</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>VJ1999, Visser and J&#x000F3;nasd&#x000F3;ttir (<xref ref-type="bibr" rid="B57">1999</xref>); D2013, Darnis (<xref ref-type="bibr" rid="B11">2013</xref>); JM2013, Jung-Madsen et al. (<xref ref-type="bibr" rid="B29">2013</xref>)</italic></p>
</table-wrap-foot>
</table-wrap>
<p>The source term for eggs (<italic>P</italic><sub><italic>Z</italic></sub>) came from the average daily production of <italic>C. hyperboreus</italic> population (30,000 eggs m<sup>&#x02212;2</sup>) observed between February and April 2008 in the Amundsen Gulf (Darnis, <xref ref-type="bibr" rid="B11">2013</xref>). <italic>C. hyperboreus</italic> females released more than 90% of their eggs during this 3 month-period, while remaining at depths between 200 and 300 m (Darnis, <xref ref-type="bibr" rid="B11">2013</xref>). As a result, we computed the vertical profile of egg production rate <italic>P</italic><sub><italic>Z</italic></sub> according to a normal distribution whose mean was centered at 250 m, its standard deviation 15 m and its integral equal to 30,000 eggs m<sup>&#x02212;2</sup> (99.9% of the eggs were released between 200 and 300 m).</p>
<p>The IGP rate <italic>I</italic> (h<sup>&#x02212;1</sup>) exerted on <italic>C. hyperboreus</italic> eggs was simply the product of <italic>M. longa</italic> females&#x00027; abundance (ind m<sup>&#x02212;3</sup>) and the individual filtration rate (m<sup>3</sup> ind<sup>&#x02212;1</sup> h<sup>&#x02212;1</sup>) found in our grazing experiments.</p>
<p>Egg hatching time <italic>H</italic> (h) followed an empirical B&#x0011B;lehr&#x000E1;dek&#x00027;s function obtained from observed hatching times of <italic>C. hyperboreus</italic> eggs (Jung-Madsen et al., <xref ref-type="bibr" rid="B29">2013</xref>):</p>
<disp-formula id="E9"><label>(8)</label><mml:math id="M9"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>&#x000D7;</mml:mo><mml:msup><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mo>&#x003B1;</mml:mo></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mi>b</mml:mi></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where <italic>T</italic> was water temperature (&#x000B0;C), <italic>a</italic> (d &#x000B0;C<sup>&#x02212;1</sup>), &#x003B1; (&#x000B0;C) and <italic>b</italic> constants.</p>
<p>A simple ordinary differential equation framework was not optimal for the modeling of developing eggs because of the &#x0201C;numerical diffusivity&#x0201D; caused by the hatching rate (Gentleman et al., <xref ref-type="bibr" rid="B19">2008</xref>). Simply put, with a development (hatching) rate, the progression through development stages is treated as a continuous process within the population, instead of a discrete event highly synchronized among many individuals. This can lead to unrealistic and spurious results, such as a small fraction of the simulated egg population that has already hatched after the first time step! In order to prevent this, we used the simple approach of spreading the egg development over 20 numerical stages of equal length (Gentleman et al., <xref ref-type="bibr" rid="B19">2008</xref>) and we further integrated the development throughout theses stages with a flux limiting numerical scheme (Record and Pershing, <xref ref-type="bibr" rid="B48">2008</xref>).</p>
</sec>
<sec>
<title>Simulations</title>
<p>The 1D water column model was split into 5 m vertical layers between 0 and 300 m, and the time step of integration was 12 h. For the model forcing, we used physical and biological datasets from the Circumpolar Flaw Lead System Study (CFL; Barber et al., <xref ref-type="bibr" rid="B4">2011</xref>). We only selected profiles from stations that were at least 300 m deep and located within the Amundsen Gulf. As a result, the physical forcing came from mean vertical profiles of eddy diffusivity coefficient (<italic>K</italic>), temperature (<italic>T</italic>), and water density (&#x003C1;<sub><italic>water</italic></sub>) obtained at 20 different stations. These stations were sampled in November and December 2007 under dense sea-ice cover with a vertical microstructure profiler (VMP500, Rockland Scientific International). For two long-term stations the number of casts used in the average profile were respectively 24 and 25, whereas at least 5 profiles were used to build the 18 other mean profiles. Missing values in averaged profiles (e.g., near the surface or below 250 m) were dealt with according to Equation (1) from Bourgault et al. (<xref ref-type="bibr" rid="B7">2011</xref>). Further details about this dataset can be found in their study.</p>
<p>We also used 18 vertical profiles of <italic>M. longa</italic> female abundance obtained with a Hydrobios &#x000AE; multinet sampler. Details of the sampling procedure can be found in Darnis and Fortier (<xref ref-type="bibr" rid="B12">2014</xref>). We selected the stations sampled between February and April 2008, during the peak of <italic>C. hyperboreus</italic> reproduction. The layer thickness for the vertical sampling ranged from 10 to 144 m, with a median of 20 m.</p>
<p>In order to test the sensitivity of the model to both the physical properties of the water column and the vertical distribution of the predators (<italic>M. longa</italic>) we ran 360 simulations, one for each possible combination of the physical and biological forcing fields. In addition, we ran this ensemble of simulations for three different scenarios of egg density in order to verify the impacts of different egg velocities: the mean (scenario D<sub>0</sub>), minimum (D<sub>min</sub>) and maximum (D<sub>max</sub>) egg densities observed by Jung-Madsen et al. (<xref ref-type="bibr" rid="B29">2013</xref>). Simulations ran for 15 days in order to reach a quasi-steady state where the maximum local rate of change in egg concentration &#x003B4;<italic>E/</italic>&#x003B4;<italic>t</italic> was less than 10<sup>&#x02212;6</sup>.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec>
<title>Egg ingestion rates</title>
<p>Predation of <italic>C. hyperboreus</italic> eggs by female <italic>M. longa</italic> occurred in each of the incubation experiments. However, in each experiment there was high individual variability and several individual incubations showed no egg ingestion. After discarding incubations within which dead or unhealthy individuals were found at the end of the experiment, for each treatment approximately 8 individual replicates out of the initial 10 were used for further analyses. The frequency distribution of ingestion rates was positively skewed, i.e., the median value was lower than the mean. The global mean ingestion rate of <italic>C. hyperboreus</italic> eggs by <italic>M. longa</italic> was 5.8 eggs ind<sup>&#x02212;1</sup> d<sup>&#x02212;1</sup> (<italic>SE</italic> &#x0003D; 0.57, <italic>n</italic> &#x0003D; 141) and the median was 3.7 eggs ind<sup>&#x02212;1</sup> d<sup>&#x02212;1</sup> (Figure <xref ref-type="fig" rid="F2">2</xref>). In terms of carbon, the mean ingestion rate was 4.9 &#x003BC;g C ind<sup>&#x02212;1</sup> d<sup>&#x02212;1</sup> and the median 3.1 &#x003BC;g C ind<sup>&#x02212;1</sup> d<sup>&#x02212;1</sup> (<italic>SE</italic> &#x0003D; 0.48, <italic>n</italic> &#x0003D; 141; Figure <xref ref-type="fig" rid="F2">2</xref>). <italic>C. hyperboreus</italic> eggs constituted an energy-rich food source (0.84 &#x003BC;g C egg<sup>&#x02212;1</sup>; (Plourde et al., <xref ref-type="bibr" rid="B44">2003</xref>) and the average daily ration of <italic>M. longa</italic> females feeding on <italic>C. hyperboreus</italic> eggs was 37% of their estimated metabolic needs based on respiration rates (<italic>SE</italic> &#x0003D; 4, <italic>n</italic> &#x0003D; 141). Individual variability resulted in a contrasted pattern where about a quarter of <italic>M. longa</italic> did not ingest any eggs, while an equivalent proportion filled more than 50% of their daily energetic requirements through egg ingestion. Some individuals actually largely exceeded their daily metabolic needs (i.e., over 100%, Figure <xref ref-type="fig" rid="F2">2</xref>), even when eggs were offered at low concentrations.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p><bold>Ingestion rates of female <italic><bold>M. longa</bold></italic> on <italic><bold>C. hyperboreus</bold></italic> eggs from all experiments according to different units: number of eggs, carbon content, and proportion of daily metabolic needs (see text)</bold>. Thick black line: median; black circle: mean; box: range between the first and third quartiles (IQR); whiskers: &#x000B1;1.5 IQR; open circles: outliers.</p></caption>
<graphic xlink:href="fmars-03-00185-g0002.tif"/>
</fig>
</sec>
<sec>
<title>Influence of incubation conditions</title>
<p>According to the GLM analysis, presence of additional food source, prosome length, or condition index of the individuals had no discernable effect on egg ingestion (Table <xref ref-type="table" rid="T2">2</xref>). The only predictor that improved the model and that significantly affected the number of eggs ingested by <italic>M. longa</italic> was egg concentration (Figure <xref ref-type="fig" rid="F3">3</xref>). In the full model with no interactions, temperature seemed to have a significant negative effect on ingestion rates (Table <xref ref-type="table" rid="T2">2</xref>). However, in the model that only kept egg concentration and temperature as independent variables, the influence of temperature and the interaction term between them did not remain significant. Moreover, the size effect of the temperature and interaction term coefficients was small compared to the impact of egg concentration and the QAIC values were very close between the models. Hence, we decided to use the simplest model with only egg concentration as predictor of egg ingestion (Figure <xref ref-type="fig" rid="F3">3</xref>). We did not observe any feeding saturation for the range of egg concentrations offered.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p><bold>Results from the generalized linear models (GLM) fitted to predict the number of <italic><bold>C. hyperboreus</bold></italic> eggs ingested by female <italic><bold>M. longa</bold></italic> according to egg concentration (<italic><bold>E</bold></italic>), temperature (<italic><bold>T</bold></italic>), alternative food source (<italic><bold>AC</bold></italic>), condition index (<italic><bold>CI</bold></italic>), prosome length (<italic><bold>PL</bold></italic>), and interactions between the terms</bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>GLM</bold></th>
<th valign="top" align="left"><bold>Predictor</bold></th>
<th valign="top" align="center"><bold>&#x003B2;</bold></th>
<th valign="top" align="center"><bold><italic>SE</italic></bold></th>
<th valign="top" align="left"><bold><italic>P-value</italic></bold></th>
<th valign="top" align="center"><bold>QAIC</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>E, T, AC, CI, PL</italic></td>
<td valign="top" align="left"><italic>Intercept</italic></td>
<td valign="top" align="char" char=".">&#x02212;1.870</td>
<td valign="top" align="center">3.340</td>
<td valign="top" align="left"><italic>ns</italic></td>
<td valign="top" align="center">215</td>
</tr>
<tr>
<td/>
<td valign="top" align="left"><italic>E</italic></td>
<td valign="top" align="left">0.068</td>
<td valign="top" align="char" char=".">0.012</td>
<td valign="top" align="left"><xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td/>
</tr>
<tr>
<td/>
<td valign="top" align="left"><italic>T</italic></td>
<td valign="top" align="char" char=".">&#x02212;0.093</td>
<td valign="top" align="center">0.040</td>
<td valign="top" align="left"><xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;</sup></xref></td>
<td/>
</tr>
<tr>
<td/>
<td valign="top" align="left"><italic>AC</italic></td>
<td valign="top" align="char" char=".">0.0007</td>
<td valign="top" align="center">0.004</td>
<td valign="top" align="left"><italic>ns</italic></td>
<td/>
</tr>
<tr>
<td/>
<td valign="top" align="left"><italic>CI</italic></td>
<td valign="top" align="char" char=".">&#x02212;0.927</td>
<td valign="top" align="center">1.118</td>
<td valign="top" align="left"><italic>ns</italic></td>
<td/>
</tr>
<tr style="border-bottom: thin solid #000000;">
<td/>
<td valign="top" align="left"><italic>PL</italic></td>
<td valign="top" align="char" char=".">&#x02212;0.300</td>
<td valign="top" align="center">1.165</td>
<td valign="top" align="left"><italic>ns</italic></td>
<td/>
</tr> <tr>
<td valign="top" align="left"><italic>E, T, E &#x000D7; T</italic></td>
<td valign="top" align="left"><italic>Intercept</italic></td>
<td valign="top" align="char" char=".">&#x02212;3.365</td>
<td valign="top" align="center">0.379</td>
<td valign="top" align="left"><xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">208</td>
</tr>
<tr>
<td/>
<td valign="top" align="left"><italic>E</italic></td>
<td valign="top" align="char" char=".">0.111</td>
<td valign="top" align="center">0.024</td>
<td valign="top" align="left"><xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td/>
</tr>
<tr>
<td/>
<td valign="top" align="left"><italic>T</italic></td>
<td valign="top" align="char" char=".">0.031</td>
<td valign="top" align="center">0.078</td>
<td valign="top" align="left"><italic>ns</italic></td>
<td/>
</tr>
<tr style="border-bottom: thin solid #000000;">
<td/>
<td valign="top" align="left"><italic>E &#x000D7; T</italic></td>
<td valign="top" align="char" char=".">&#x02212;0.008</td>
<td valign="top" align="center">0.004</td>
<td valign="top" align="left"><italic>ns</italic></td>
<td/>
</tr>
<tr>
<td valign="top" align="left"><italic><bold>E</bold></italic></td>
<td valign="top" align="left"><italic><bold>Intercept</bold></italic></td>
<td valign="top" align="char" char=".">&#x02212;<bold>2.944</bold></td>
<td valign="top" align="center"><bold>0.199</bold></td>
<td valign="top" align="left"><xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center"><bold>215</bold></td>
</tr>
<tr>
<td/>
<td valign="top" align="left"><italic><bold>E</bold></italic></td>
<td valign="top" align="char" char="."><bold>0.053</bold></td>
<td valign="top" align="center"><bold>0.009</bold></td>
<td valign="top" align="left"><xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Estimated coefficients b, standard error SE, P-values (</italic></p>
<fn id="TN1">
<label>&#x0002A;&#x0002A;&#x0002A;</label>
<p><italic>P &#x0003C; 0.001;</italic></p></fn>
<p><italic>&#x0002A;&#x0002A;P &#x0003C; 0.01;</italic></p>
<fn id="TN2">
<label>&#x0002A;</label>
<p><italic>P &#x0003C; 0.1; ns not significant) and Akaike&#x00027;s information criterion corrected for overdispersion QAIC. Model entry in bold indicates the one selected for further numerical experiments</italic>.</p></fn>
</table-wrap-foot>
</table-wrap>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p><bold>Ingestion rates of female <italic><bold>M. longa</bold></italic> on <italic><bold>C. hyperboreus</bold></italic> eggs according to the presence of alternative food source (left panel), temperature (middle panel), and egg concentration (right panel)</bold>. Points are jittered to reduce overlap. Black and white line is the prediction of the mean from the selected generalized linear model (see text); dotted black lines are the corresponding 95% confidence intervals.</p></caption>
<graphic xlink:href="fmars-03-00185-g0003.tif"/>
</fig>
</sec>
<sec>
<title>Simulated egg vertical distribution</title>
<p>The velocity of <italic>C. hyperboreus</italic> eggs estimated with Equation (7) ranged between &#x02212;9 and &#x02212;4.1 m d<sup>&#x02212;1</sup> for the mean egg density scenario (D<sub>0</sub>) over the 20 physical forcing profiles. Negative velocities meant that eggs were positively buoyant, from the bottom of the water column up to the surface. Egg velocity was dependent on the water density profile and it decreased slowly with decreasing depth (Figure <xref ref-type="fig" rid="F4">4</xref>). This pattern was conserved among the 20 physical forcing profiles whose overall variability was low. Egg velocity was strongly influenced by egg density itself. <italic>C. hyperboreus</italic> egg density is highly variable, both between individual females and within clutches of the same female (Jung-Madsen et al., <xref ref-type="bibr" rid="B29">2013</xref>). When we used the minimal egg density (scenario D<sub>min</sub>) the velocity tripled to range between &#x02212;26.2 and &#x02212;21.3 m d<sup>&#x02212;1</sup>, whereas for maximal egg density (scenario D<sub>max</sub>) the associated velocity was not negative throughout the water column. The egg velocity ranged between &#x02212;2.3 and 2.6 m d<sup>&#x02212;1</sup> with a converging depth of neutral buoyancy around 100 m.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p><bold>Example of <italic><bold>in situ</bold></italic> physical forcing profiles from Amundsen Gulf used in the egg vertical distribution simulation (left panel)</bold>. Solid line is the vertical eddy diffusivity (m<sup>2</sup> s<sup>&#x02212;1</sup>), dashed line is the density anomaly of seawater (g m<sup>&#x02212;3</sup>) and dotted line is the temperature (&#x000B0;C). Corresponding egg concentrations simulated for mean egg density (scenario D<sub>0</sub>) of 19.4 kg m<sup>&#x02212;3</sup> are presented in the right panel. Dashed line is the egg velocity (m d<sup>&#x02212;1</sup>) computed according to Stokes&#x00027; law. Dotted line is at the initial condition corresponding to the spawned eggs profile. Solid line is the egg concentration distribution after 15 days of simulation. Gray area is the female <italic>M. longa</italic> abundance (ind m<sup>&#x02212;3</sup>).</p></caption>
<graphic xlink:href="fmars-03-00185-g0004.tif"/>
</fig>
<p>Egg velocity was critical for egg vertical distribution. In the ensemble of simulations for scenario D<sub>0</sub>, egg vertical distributions showed higher concentrations between 150 and 275 m and peaked around 225 m to reach about 3000 eggs m<sup>&#x02212;3</sup> (or 3 eggs L<sup>&#x02212;1</sup>) once the simulation reached its steady state (Figure <xref ref-type="fig" rid="F4">4</xref>). For scenario D<sub>max</sub>, the denser eggs ascend only slightly in the water column before hatching. They remained concentrated between 200 and 300 m with a maximum egg concentration a little less than 4000 eggs m<sup>&#x02212;3</sup> near 250 m (Figure <xref ref-type="fig" rid="F4">4</xref>). Contrarily, in the D<sub>min</sub> scenario, eggs moved rapidly upward and some even managed to reach the first 5 m of the water column to attain a concentration of a little less than 300 eggs m<sup>&#x02212;3</sup> (Figure <xref ref-type="fig" rid="F4">4</xref>). Eggs where spread over the entire column and concentration peaked above 160 m at about 1200 eggs m<sup>&#x02212;3</sup>.</p>
</sec>
<sec>
<title>Impact of <italic>M. longa</italic> predation on <italic>C. hyperboreus</italic> eggs</title>
<p>For each egg density scenario tested, the proportion of egg biomass eaten by <italic>M. longa</italic> was more sensitive to the profiles of <italic>M. longa</italic> abundance than to the physical forcing (see Figure <xref ref-type="fig" rid="F5">5</xref> for scenario D<sub>0</sub>). Over the ensemble of 360 simulations of the D<sub>0</sub> scenario, the percentage of <italic>C. hyperboreus</italic> egg standing stock ingested by <italic>M. longa</italic> ranged between 0.1 and 1.1% with most of the values being in the low end (Figure <xref ref-type="fig" rid="F6">6</xref>). The percentage of egg standing stock ingested by <italic>M. longa</italic> varied between 0.2 and 3.2% for scenario D<sub>min</sub> and between 0 and 0.8% for maximal egg density (scenario D<sub>max</sub>; Figure <xref ref-type="fig" rid="F6">6</xref>).</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p><bold>Proportion of <italic><bold>C. hyperboreus</bold></italic> egg standing stock (%) ingested by female <italic><bold>M. longa</bold></italic> for all the 360 simulations with mean egg density (scenario D<sub><bold>0</bold></sub>) and grouped according to each of the 18 <italic><bold>in situ</bold></italic> female <italic><bold>M. longa</bold></italic> abundance profiles</bold>.</p></caption>
<graphic xlink:href="fmars-03-00185-g0005.tif"/>
</fig>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p><bold>Frequency distribution of the proportion of <italic><bold>C. hyperboreus</bold></italic> eggs standing stock ingested by female <italic><bold>M. longa</bold></italic> according to the minimal (0.6 kg m<sup><bold>&#x02212;3</bold></sup>) (scenario D<sub><bold>min</bold></sub>) (left panel), mean (19.4 kg m<sup><bold>&#x02212;3</bold></sup>) (scenario D<sub><bold>0</bold></sub>) (middle panel) and maximal <italic><bold>C. hyperboreus</bold></italic> egg density (26.8 kg m<sup><bold>&#x02212;3</bold></sup>) (scenario D<sub><bold>max</bold></sub>) (right panel)</bold>.</p></caption>
<graphic xlink:href="fmars-03-00185-g0006.tif"/>
</fig>
<p>This modest impact of <italic>M. longa</italic> IGP is hardly noticeable between the egg concentration profiles simulated with and without egg predation, even for the combination of physical conditions and <italic>M. longa</italic> profiles that lead to the maximum difference (Figure <xref ref-type="fig" rid="F7">7</xref>). The corresponding daily egg ingestion of the whole population of <italic>M. longa</italic> ranged between a little more than 1 to almost 20 eggs m<sup>&#x02212;3</sup> d<sup>&#x02212;1</sup> (Figure <xref ref-type="fig" rid="F7">7</xref>). It is noticeable, though, that such egg ingestion values could allow <italic>M. longa</italic> individuals to satisfy almost 10% of their metabolic needs according to respiration rates from Seuthe et al. (<xref ref-type="bibr" rid="B54">2006</xref>), or up to 37% if we consider the lower respiration rates reported by Hirche (<xref ref-type="bibr" rid="B24">1987</xref>).</p>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p><bold>Simulated egg concentration profiles for three different scenarios (scenario D<sub><bold>min</bold></sub>, D<sub><bold>0</bold></sub>, and D<sub><bold>max</bold></sub>; left panel)</bold>. Solid line is without female <italic>M. longa</italic> intraguild predation, dashed line is with intraguild predation and the gray area is the difference between both. On the right panel, solid line is the <italic>C. hyperboreus</italic> egg biomass ingested by the population of female <italic>M. longa</italic> (egg m<sup>&#x02212;3</sup> d<sup>&#x02212;1</sup>) according to the simulated egg concentration with scenario D<sub>0</sub> and <italic>M. longa</italic> abundance profile presented in Figure <xref ref-type="fig" rid="F4">4</xref>. Proportion of individual daily metabolic needs satisfied by egg ingestion (%) according to respiration rates from Seuthe et al. (<xref ref-type="bibr" rid="B54">2006</xref>; Dashed line) and Hirche (<xref ref-type="bibr" rid="B24">1987</xref>; Dotted line).</p></caption>
<graphic xlink:href="fmars-03-00185-g0007.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<sec>
<title>Individual variability</title>
<p>Our results show high individual variability of egg ingestion rates, with a quarter of all the individuals not ingesting any eggs and about the same proportion satisfying more than half of their daily metabolic needs from egg grazing. This asymmetric and widely spread distribution has a geometric coefficient of variation of 149%. This pattern is consistent across the range of incubation conditions we tested, and this level of variability is common in any experimental setting measuring individual biological features (size, structural or storage weight, swimming behavior, etc.) and physiological rates (respiration, ingestion, growth, etc.) (e.g., Basedow and Tande, <xref ref-type="bibr" rid="B5">2006</xref>). We do not have clear explanations for the level of variability we observed, but it is a useful observation to report (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Material</xref> for a spreadsheet of individual observations). Individual variability has long been recognized as a key property of plankton ecology since population dynamics and trophic interactions (that are of primary interest for marine ecologists) are emerging properties of individual characteristics and behaviors (B&#x000E5;mstedt, <xref ref-type="bibr" rid="B2">1988</xref>). Modern experimental and <italic>in situ</italic> observation methods are providing increasingly detailed and abundant individual-level data (e.g., Schmid et al., <xref ref-type="bibr" rid="B53">2016</xref>), while current numerical approaches allow for testing how and how well individual-based models can effectively represent emerging properties at higher organizational levels (Neuheimer et al., <xref ref-type="bibr" rid="B40">2010</xref>; Morozov et al., <xref ref-type="bibr" rid="B39">2013</xref>).</p>
</sec>
<sec>
<title>Dynamical interactions in the water column</title>
<p>This modeling exercise provided insight on the physical and biological dynamical processes interacting in the water column and their relative importance for the vertical distribution of <italic>C. hyperboreus</italic> eggs.</p>
<p>We first performed a scale analysis of the two first terms on the right-hand side of Equation (7), i.e., egg buoyancy and vertical turbulence. For the simulation scenario illustrated in Figure <xref ref-type="fig" rid="F4">4</xref>, we can estimate the vertical gradient in egg concentration <inline-formula><mml:math id="M10"><mml:mfrac><mml:mrow><mml:mo>&#x02202;</mml:mo><mml:mstyle class="text"><mml:mtext class="textrm" mathvariant="normal">E</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mo>&#x02202;</mml:mo><mml:mstyle class="text"><mml:mtext class="textrm" mathvariant="normal">z</mml:mtext></mml:mstyle></mml:mrow></mml:mfrac></mml:math></inline-formula> &#x02248; 15 egg m<sup>&#x02212;4</sup> near the maximum egg concentration at 250 m (an approximate increase of 750 egg m<sup>&#x02212;3</sup> over 50 m) and <inline-formula><mml:math id="M11"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mo>&#x02202;</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mstyle class="text"><mml:mtext class="textrm" mathvariant="normal">E</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mo>&#x02202;</mml:mo><mml:msup><mml:mrow><mml:mstyle class="text"><mml:mtext class="textrm" mathvariant="normal">z</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:math></inline-formula> &#x02248; 1 egg m<sup>&#x02212;5</sup> (<inline-formula><mml:math id="M12"><mml:mfrac><mml:mrow><mml:mo>&#x02202;</mml:mo><mml:mstyle class="text"><mml:mtext class="textrm" mathvariant="normal">E</mml:mtext></mml:mstyle></mml:mrow><mml:mrow><mml:mo>&#x02202;</mml:mo><mml:mstyle class="text"><mml:mtext class="textrm" mathvariant="normal">z</mml:mtext></mml:mstyle></mml:mrow></mml:mfrac><mml:mtext>&#x000A0;</mml:mtext></mml:math></inline-formula> varies between &#x000B1; 15 egg m<sup>&#x02212;3</sup> over about 30 m from both sides of the maximum concentration), simple arithmetic suggests that</p>
<disp-formula id="E10"><mml:math id="M13"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>w</mml:mi><mml:mfrac><mml:mrow><mml:mo>&#x02202;</mml:mo><mml:mtext class="textrm" mathvariant="normal">E</mml:mtext></mml:mrow><mml:mrow><mml:mo>&#x02202;</mml:mo><mml:mtext class="textrm" mathvariant="normal">z</mml:mtext></mml:mrow></mml:mfrac><mml:mo>&#x02248;</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>3</mml:mn></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x000D7;</mml:mo><mml:mn>1</mml:mn><mml:msup><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup><mml:mtext class="textrm" mathvariant="normal">egg&#x000A0;</mml:mtext><mml:msup><mml:mrow><mml:mtext class="textrm" mathvariant="normal">m</mml:mtext></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup><mml:mtext>&#x000A0;</mml:mtext><mml:msup><mml:mrow><mml:mtext class="textrm" mathvariant="normal">s</mml:mtext></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>and</p>
<disp-formula id="E11"><mml:math id="M14"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mtext class="textit" mathvariant="italic">K</mml:mtext><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mo>&#x02202;</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mtext class="textrm" mathvariant="normal">E</mml:mtext></mml:mrow><mml:mrow><mml:mo>&#x02202;</mml:mo><mml:msup><mml:mrow><mml:mtext class="textrm" mathvariant="normal">z</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfrac><mml:mo>&#x02248;</mml:mo><mml:mn>1</mml:mn><mml:msup><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>5</mml:mn></mml:mrow></mml:msup><mml:mtext class="textrm" mathvariant="normal">egg&#x000A0;</mml:mtext><mml:msup><mml:mrow><mml:mtext class="textrm" mathvariant="normal">m</mml:mtext></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup><mml:mtext>&#x000A0;</mml:mtext><mml:msup><mml:mrow><mml:mtext class="textrm" mathvariant="normal">s</mml:mtext></mml:mrow><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>with <italic>w</italic> &#x003B5; [4, 9.3] m d<sup>&#x02212;1</sup> (see Results) and <italic>K</italic> &#x0003D; 3.4 &#x000D7; 10 m<sup>&#x02212;6</sup> s<sup>&#x02212;1</sup> (background turbulent diffusivity) from (Bourgault et al., <xref ref-type="bibr" rid="B7">2011</xref>). This suggest that from a physical point of view, the buoyant vertical displacement of eggs is dominant over the turbulent diffusion mechanism, and only turbulent events about a 100 times above the background value could effectively influence their distribution. The role of turbulent mixing in egg distribution (aggregation or spreading) is likely minimal and the use of a parameterization such as the one presented in Bourgault et al. (<xref ref-type="bibr" rid="B7">2011</xref>) could have been sufficient here. The effect of turbulence may only become important for denser eggs rising very slowly toward the surface or directly after the spawning if it occurs in a thin layer pattern, hence producing a high concentration gradient. This effect could be studied more efficiently with new <italic>in situ</italic> sampling devices such as the LOKI underwater imaging system that can provide highly resolved vertical distribution of adult females <italic>C. hyperboreus</italic>, their eggs, a whole suite of potential other intraguild predators beyond <italic>M. longa</italic> and the physical properties of the water column as well (Schmid et al., <xref ref-type="bibr" rid="B53">2016</xref>).</p>
<p>From a biological point of view, egg density had an overwhelming impact on egg vertical distribution patterns (Figure <xref ref-type="fig" rid="F7">7</xref>). Egg density defined their vertical velocity <italic>w</italic> and as a result both the range of depth they could reach before hatching and their corresponding concentration. For two out of three egg density scenarios, eggs laid at depth did not manage to reach and accumulate within the surface layer. Even for the minimum density scenario D<sub>min</sub>, the amount of eggs reaching the surface remained marginal. This is coherent with the generally accepted idea that <italic>C. hyperboreus</italic> nauplii, rather than eggs, accumulate under the ice in advance of the phytoplankton bloom (Conover and Huntley, <xref ref-type="bibr" rid="B9">1991</xref>). Meanwhile, the maximum egg concentration reached was about 4 eggs L<sup>&#x02212;1</sup>, close the minimal egg concentration used in our grazing experiments. Depth and concentration were crucial for the interaction with female <italic>M. longa</italic> whose vertical position and abundance vary a lot, and whose ingestion rate depends on the surrounding egg concentration. As a result, it appeared that the probability of encounter between a predator and an egg of <italic>C. hyperboreus</italic> was determined essentially by the density of the latter.</p>
</sec>
<sec>
<title>Impact of intraguild predation on <italic>C. hyperboreus</italic> recruitment</title>
<p>If we consider thin layer effects to remain marginal, our results suggest that impacts on <italic>C. hyperboreus</italic> population dynamics may remain limited in space and time since <italic>M. longa</italic> IGP was limited to a little more than 3% of <italic>C. hyperboreus</italic> egg biomass. However, young nauplii stages could also be preyed upon by <italic>M. longa</italic> and thus our figures could underestimate the actual impact of <italic>M. longa</italic> on <italic>C. hyperboreu</italic>s recruitment. <italic>M. longa</italic> is a cruising feeder, i.e., it cruises through water searching for food and prey and captures them upon detection. Moreover, motile preys such as nauplii can generate a hydrodynamic trail while swimming that could render them be easier to detect by <italic>M. longa</italic> than non-motile preys such as eggs (Ki&#x000F8;rboe, <xref ref-type="bibr" rid="B30">2011</xref>). This assumption is supported by feeding experiments with <italic>M. lucens</italic> and <italic>M. longa</italic> in which phytoplankton and much larger nauplii <italic>Artemia</italic> were offered together, illustrating selective feeding on <italic>Artemia</italic> nauplii (Haq, <xref ref-type="bibr" rid="B21">1967</xref>).</p>
<p>In addition to females <italic>M. longa</italic>, other development stages of this species and other copepod species could also exert IGP on <italic>C. hyperboreus</italic> eggs. As already mentioned, adults and advanced copepodite stages of the large <italic>C. glacialis</italic> emerge from diapause and initiate ascent to surface layers prior the spring bloom to feed on ice algae (Daase et al., <xref ref-type="bibr" rid="B10">2013</xref>). Therefore, they could also benefit from the energy rich <italic>C. hyperboreus</italic> eggs (and potentially the nauplii) and add to the predation pressure. Thus, we likely have underestimated IGP pressure on <italic>C. hyperboreus</italic> and its impact on its recruitment in several ways. However, it may remain very dependent on the seasonal timing of the feeding activity of these potential predators, as well as their vertical position in the water column as already demonstrated.</p>
<p>It seems that there is actually an ecological trade-off for <italic>C. hyperboreus</italic> females to lay low (lipid-rich) or high-density (lipid-poor) eggs. On one hand the obvious metabolic advantage for lipid-rich eggs is that the offspring can rely on abundant reserves to develop. The downside however could be that low-density eggs reach faster and &#x0201C;en masse&#x0201D; the layer where <italic>M. longa</italic> and other species are abundant, hence increasing their mortality risk. On the other hand, dense eggs ascend very slowly and actually hatch before having reached these dangerous depths. The wide range in egg density that has been observed among eggs from different <italic>C. hyperboreus</italic> females but also within the same egg clutch (Jung-Madsen et al., <xref ref-type="bibr" rid="B29">2013</xref>) could actually be part of a strategy that mitigates predation risk by spreading the eggs across a range of ascent speeds. However, the delicate balance of both opposing effects on offspring fitness could only be assessed in a more detailed modeling study supported by finely resolved and concurrent observation of the zooplankton community vertical distribution.</p>
</sec>
<sec>
<title><italic>C. hyperboreus</italic> importance in the arctic system</title>
<p>Our results could offer an interesting contrast with the earlier study of Huntley and Escritor (<xref ref-type="bibr" rid="B27">1992</xref>) on a couple of homologous species from Antarctica, <italic>M. gerlachei</italic> and <italic>C. acutus</italic>. They showed from incubations of a group of individuals that <italic>M. gerlachei</italic> could reach daily rations ranging between 4 to 11% of its body weight when offered 1000 egg L<sup>&#x02212;1</sup>. The authors further estimated that this concentration was about three orders of magnitude higher than what it could be <italic>in situ</italic> (1 egg L<sup>&#x02212;1</sup>) and thus concluded that this type of predation is likely insignificant. However, our experimental results showed that <italic>M. longa</italic> individuals could meet up to 75% of their daily metabolic requirements on eggs of <italic>C. hyperboreus</italic> offered at a concentration of 5 L<sup>&#x02212;1</sup>, based on respiration rates observed in Amundsen Gulf (Seuthe et al., <xref ref-type="bibr" rid="B54">2006</xref>). We also simulated that the mean <italic>in situ</italic> ration of eggs for <italic>M. longa</italic> females should vary between 8 and 37% of their metabolic needs, depending on the respiration rate. The lower boundary is based on Seuthe et al. (<xref ref-type="bibr" rid="B54">2006</xref>), whereas the upper boundary is based on lower respiration rates (Hirche, <xref ref-type="bibr" rid="B24">1987</xref>). Neither value is sufficient to ensure complete metabolic maintenance, but during wintertime it could be combined to some level of lipid stores to cope with the otherwise scarce food background available to these copepods. Lipid-rich <italic>C. hyperboreus</italic> eggs (and potentially nauplii) are a reliable and valuable food source that at least some <italic>M. longa</italic> individuals seem prone to take advantage of during several months of the year.</p>
<p>Our study stresses the importance of <italic>C. hyperboreus</italic> as a linchpin of Arctic marine trophic network. This key species has adapted to the extreme environment by evolving its ability to store considerable amounts of lipids. <italic>C. hyperboreus</italic> efficiently concentrate the energy from the short-lived primary production bloom and supports the entire marine trophic network. Higher trophic levels rely heavily on its large copepodite and adult development stages, while zooplankton species from a similar trophic level (from the same guild) also benefit from the smaller packaging of the bounty within its eggs. Moreover, since <italic>C. hyperboreus</italic> reproduction occurs for several months during a period of the polar year when primary production has shut down, it likely provides a precious and unparalleled resource for several species of planktonic predators that remain active in the dead of winter. Hence, IGP should not only be considered as an extra mortality source that could affect recruitment of the species that is preyed upon, but also as a crucial survival strategy that could shape the life cycle strategies of some opportunistic species.</p>
<p>IGP needs to be studied further as we move toward an integrated approach of marine ecology that recognizes the influence of both individual variability and community-level interactions. Other implications of IGP than those evoked in our study could be important. In the North Atlantic for example, the survival of <italic>C. finmarchicus</italic> early stages follows different seasonal patterns in areas where it is the dominant <italic>Calanus</italic> species than in areas where its larger congeners, <italic>C. glacialis</italic> and <italic>C. hyperboreus</italic>, co-occur. In such areas where all three species live together, the <italic>C. finmarchicus</italic> recruitment peak can occur several weeks after the spring bloom, much later than it usually does (Melle et al., <xref ref-type="bibr" rid="B36">2014</xref>). In early spring, <italic>C. hyperboreus</italic> and <italic>C. glacialis</italic>, that are already active when <italic>C. finmarchicus</italic> initiates its reproduction fuelled by the phytoplankton bloom, could ingest <italic>C. finmarchicus</italic> eggs and affect its recruitment. Interestingly, IGP could contribute to the resistance of marginal Arctic marine ecosystems to the northward advance of the boreal <italic>C. finmarchicus</italic> under the pressure of climate change.</p>
</sec>
</sec>
<sec id="s5">
<title>Author contributions</title>
<p>KD designed and ran the laboratory experiments, participated to the <italic>in situ</italic> sampling, did the statistical analysis, ran the modeling experiment, and wrote most of the paper. FM contributed to the design of the laboratory experiment, contributed to the data analysis, designed, and executed most of the modeling experiment and contributed to the writing. SP contributed to the design of the laboratory experiment, provided access to the laboratory facility, and contributed to the writing. PJ contributed to the design and the execution of the laboratory experiment, and ran the <italic>in situ</italic> sampling. FC contributed to the design of the numerical experiment, provided data from Amundsen Gulf, and contributed to the writing.</p>
</sec>
<sec id="s6">
<title>Funding</title>
<p>This work has been supported by an NSERC Discovery grant to FM, DFO, and Qu&#x000E9;bec-Oc&#x000E9;an.</p>
<sec>
<title>Conflict of interest statement</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>
</body>
<back>
<ack>
<p>KD is grateful to PJ for his invaluable help in the field and in the laboratory, Genevi&#x000E8;ve Parent for her help with image analysis, Michel Starr and Liliane St-Amand for their help with laboratory analysis, David Levasseur for his assistance in the laboratory experiments and Daniel Bourgault for the Amundsen Gulf physical data. KD also thanks FM, SP, and Maurice Levasseur for the stimulating and constructive discussions and finally FC and Jeffrey Runge for their help on the manuscript. This is a contribution to the research programs of Qu&#x000E9;bec-Oc&#x000E9;an, ArcticNet and UMI Takuvik.</p>
</ack>
<sec sec-type="supplementary-material" id="s7">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="http://journal.frontiersin.org/article/10.3389/fmars.2016.00185">http://journal.frontiersin.org/article/10.3389/fmars.2016.00185</ext-link></p>
<p>The R code and forcing fields for the model can be found online at: <ext-link ext-link-type="uri" xlink:href="https://github.com/NEOLab-Git/Chyp_Egg_1D.git">https://github.com/NEOLab-Git/Chyp_Egg_1D.git</ext-link></p>
<p>The detailed table of individual observations is provided.</p>
<supplementary-material xlink:href="DataSheet1.XLSX" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Arim</surname> <given-names>M.</given-names></name> <name><surname>Marquet</surname> <given-names>P. A.</given-names></name></person-group> (<year>2004</year>). <article-title>Intraguild predation: a widespread interaction related to species biology</article-title>. <source>Ecol. Lett.</source> <volume>7</volume>, <fpage>557</fpage>&#x02013;<lpage>564</lpage>. <pub-id pub-id-type="doi">10.1111/j.1461-0248.2004.00613.x</pub-id></citation>
</ref>
<ref id="B2">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>B&#x000E5;mstedt</surname> <given-names>U.</given-names></name></person-group> (<year>1988</year>). <article-title>Ecological significance of individual variability in copepod bioenergetics</article-title>. <source>Hydrobiologia</source> <fpage>167</fpage>&#x02013;<lpage>168</lpage>, 43&#x02013;59. <pub-id pub-id-type="doi">10.1007/BF00026293</pub-id></citation>
</ref>
<ref id="B3">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>B&#x000E5;mstedt</surname> <given-names>U.</given-names></name> <name><surname>Gifford</surname> <given-names>D. J.</given-names></name> <name><surname>Irigoien</surname> <given-names>X.</given-names></name> <name><surname>Atkinson</surname> <given-names>A.</given-names></name> <name><surname>Roman</surname> <given-names>M.</given-names></name></person-group> (<year>2000</year>). <article-title>Feeding</article-title>, in <source>ICES Zooplankton Methodology Manual</source>, eds <person-group person-group-type="editor"><name><surname>Harris</surname> <given-names>R.</given-names></name> <name><surname>Wiebe</surname> <given-names>P.</given-names></name> <name><surname>Lenz</surname> <given-names>J.</given-names></name> <name><surname>Skjoldal</surname> <given-names>H.-R.</given-names></name> <name><surname>Huntley</surname> <given-names>M.</given-names></name></person-group> (<publisher-loc>Plymouth</publisher-loc>: <publisher-name>Academic Press</publisher-name>), <fpage>297</fpage>&#x02013;<lpage>399</lpage>.</citation>
</ref>
<ref id="B4">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Barber</surname> <given-names>D. G.</given-names></name> <name><surname>Asplin</surname> <given-names>M. G.</given-names></name> <name><surname>Gratton</surname> <given-names>Y.</given-names></name> <name><surname>Lukovich</surname> <given-names>J. V.</given-names></name> <name><surname>Galley</surname> <given-names>R. J.</given-names></name> <name><surname>Raddatz</surname> <given-names>R. L.</given-names></name> <etal/></person-group>. (<year>2011</year>). <article-title>The International polar year (IPY) circumpolar flaw lead (CFL) system study: overview and the physical system</article-title>. <source>Atmosphere Ocean</source> <volume>48</volume>, <fpage>225</fpage>&#x02013;<lpage>243</lpage>. <pub-id pub-id-type="doi">10.3137/OC317.2010</pub-id></citation>
</ref>
<ref id="B5">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Basedow</surname> <given-names>S.</given-names></name> <name><surname>Tande</surname> <given-names>K.</given-names></name></person-group> (<year>2006</year>). <article-title>Cannibalism by female <italic>Calanus finmarchicus</italic> on naupliar stages</article-title>. <source>Mar. Ecol. Prog. Ser.</source> <volume>327</volume>, <fpage>247</fpage>&#x02013;<lpage>255</lpage>. <pub-id pub-id-type="doi">10.3354/meps327247</pub-id></citation>
</ref>
<ref id="B6">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bonnet</surname> <given-names>D.</given-names></name></person-group> (<year>2004</year>). <article-title><italic>Calanus</italic> the cannibal</article-title>. <source>J. Plankton Res.</source> <volume>26</volume>, <fpage>937</fpage>&#x02013;<lpage>948</lpage>. <pub-id pub-id-type="doi">10.1093/plankt/fbh087</pub-id></citation>
</ref>
<ref id="B7">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bourgault</surname> <given-names>D.</given-names></name> <name><surname>Hamel</surname> <given-names>C.</given-names></name> <name><surname>Cyr</surname> <given-names>F.</given-names></name> <name><surname>Tremblay</surname> <given-names>J. &#x000C9;.</given-names></name> <name><surname>Galbraith</surname> <given-names>P. S.</given-names></name> <name><surname>Dumont</surname> <given-names>D.</given-names></name> <etal/></person-group>. (<year>2011</year>). <article-title>Turbulent nitrate fluxes in the Amundsen Gulf during ice-covered conditions</article-title>. <source>Geophys. Res. Lett.</source> <volume>38</volume>, <fpage>L15602</fpage>. <pub-id pub-id-type="doi">10.1029/2011GL047936</pub-id></citation>
</ref>
<ref id="B8">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Carmack</surname> <given-names>E. C.</given-names></name> <name><surname>Macdonald</surname> <given-names>R. W.</given-names></name></person-group> (<year>2002</year>). <article-title>Oceanography of the Canadian Shelf of the Beaufort Sea: a setting for marine life</article-title>. <source>Arctic</source> <volume>55</volume>, <fpage>29</fpage>&#x02013;<lpage>45</lpage>. <pub-id pub-id-type="doi">10.14430/arctic733</pub-id></citation>
</ref>
<ref id="B9">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Conover</surname> <given-names>R. J.</given-names></name> <name><surname>Huntley</surname> <given-names>M.</given-names></name></person-group> (<year>1991</year>). <article-title>Copepods in ice-covered seas - distribution, adaptations to seasonally limited food, metabolism, growth patterns and life cycle strategies in polar seas</article-title>. <source>J. Mar. Syst.</source> <volume>2</volume>, <fpage>1</fpage>&#x02013;<lpage>41</lpage>. <pub-id pub-id-type="doi">10.1016/0924-7963(91)90011-I</pub-id></citation>
</ref>
<ref id="B10">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Daase</surname> <given-names>M.</given-names></name> <name><surname>Falk-Petersen</surname> <given-names>S.</given-names></name> <name><surname>Varpe</surname> <given-names>&#x000D8;.</given-names></name> <name><surname>Darnis</surname> <given-names>G.</given-names></name> <name><surname>S&#x000F8;reide</surname> <given-names>J. E.</given-names></name> <name><surname>Wold</surname> <given-names>A.</given-names></name> <etal/></person-group>. (<year>2013</year>). <article-title>Timing of reproductive events in the marine copepod <italic>Calanus glacialis</italic>: a Pan-Arctic perspective</article-title>. <source>Can. J. Fish. Aqua. Sci.</source> <volume>14</volume>, <fpage>1</fpage>&#x02013;<lpage>14</lpage>. <pub-id pub-id-type="doi">10.1139/cjfas-2012-0401</pub-id></citation>
</ref>
<ref id="B11">
<citation citation-type="thesis"><person-group person-group-type="author"><name><surname>Darnis</surname> <given-names>G.</given-names></name></person-group> (<year>2013</year>). <source>Migration Verticale du Zooplancton et flux Respiratoire de Carbone en mer de Beaufort (Arctique Canadien)</source>. Thesis, <publisher-name>Universit&#x000E9; Laval</publisher-name>, <publisher-loc>Qu&#x000E9;bec, QC</publisher-loc>.</citation>
</ref>
<ref id="B12">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Darnis</surname> <given-names>G.</given-names></name> <name><surname>Fortier</surname> <given-names>L.</given-names></name></person-group> (<year>2014</year>). <article-title>Temperature, food and the seasonal vertical migration of key arctic copepods in the thermally stratified Amundsen Gulf (Beaufort Sea, Arctic Ocean)</article-title>. <source>J. Plankton Res.</source> <volume>36</volume>, <fpage>1092</fpage>&#x02013;<lpage>1168</lpage>. <pub-id pub-id-type="doi">10.1093/plankt/fbu035</pub-id></citation>
</ref>
<ref id="B13">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Darnis</surname> <given-names>G.</given-names></name> <name><surname>Robert</surname> <given-names>D.</given-names></name> <name><surname>Pomerleau</surname> <given-names>C.</given-names></name> <name><surname>Link</surname> <given-names>H.</given-names></name> <name><surname>Archambault</surname> <given-names>P.</given-names></name> <name><surname>Nelson</surname> <given-names>R. J.</given-names></name> <etal/></person-group>. (<year>2012</year>). <article-title>Current state and trends in Canadian Arctic marine ecosystems: II. Heterotrophic food web, pelagic-benthic coupling, and biodiversity</article-title>. <source>Clim. Change</source> <volume>115</volume>, <fpage>179</fpage>&#x02013;<lpage>205</lpage>. <pub-id pub-id-type="doi">10.1007/s10584-012-0483-8</pub-id></citation>
</ref>
<ref id="B14">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Davis</surname> <given-names>C. S.</given-names></name></person-group> (<year>1984</year>). <article-title>Predatory control of copepod seasonal cycles on Georges Bank</article-title>. <source>Mar. Biol.</source> <volume>82</volume>, <fpage>31</fpage>&#x02013;<lpage>40</lpage>. <pub-id pub-id-type="doi">10.1007/BF00392761</pub-id></citation>
</ref>
<ref id="B15">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Falardeau</surname> <given-names>M.</given-names></name> <name><surname>Robert</surname> <given-names>D.</given-names></name> <name><surname>Fortier</surname> <given-names>L.</given-names></name></person-group> (<year>2013</year>). <article-title>Could the planktonic stages of polar cod and Pacific sand lance compete for food in the warming Beaufort Sea?</article-title> <source>ICES J. Mar. Sci.</source> <volume>71</volume>, <fpage>1956</fpage>&#x02013;<lpage>1965</lpage>. <pub-id pub-id-type="doi">10.1093/icesjms/fst221</pub-id></citation>
</ref>
<ref id="B16">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Forest</surname> <given-names>A.</given-names></name> <name><surname>Galindo</surname> <given-names>V.</given-names></name> <name><surname>Darnis</surname> <given-names>G.</given-names></name> <name><surname>Pineault</surname> <given-names>S.</given-names></name> <name><surname>Lalande</surname> <given-names>C.</given-names></name> <name><surname>Tremblay</surname> <given-names>J. E.</given-names></name> <etal/></person-group>. (<year>2010</year>). <article-title>Carbon biomass, elemental ratios (C:N) and stable isotopic composition (<sup>13</sup>C, <sup>15</sup>N) of dominant calanoid copepods during the winter-to-summer transition in the Amundsen Gulf (Arctic Ocean)</article-title>. <source>J. Plankton Res.</source> <volume>33</volume>, <fpage>161</fpage>&#x02013;<lpage>178</lpage>. <pub-id pub-id-type="doi">10.1093/plankt/fbq103</pub-id></citation>
</ref>
<ref id="B17">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Fort</surname> <given-names>J.</given-names></name> <name><surname>Cherel</surname> <given-names>Y.</given-names></name> <name><surname>Harding</surname> <given-names>A. M. A.</given-names></name> <name><surname>Welcker</surname> <given-names>J.</given-names></name> <name><surname>Jakubas</surname> <given-names>D.</given-names></name> <name><surname>Steen</surname> <given-names>H.</given-names></name> <etal/></person-group>. (<year>2010</year>). <article-title>Geographic and seasonal variability in the isotopic niche of little auks</article-title>. <source>Mar. Ecol. Prog. Ser.</source> <volume>414</volume>, <fpage>293</fpage>&#x02013;<lpage>302</lpage>. <pub-id pub-id-type="doi">10.3354/meps08721</pub-id></citation>
</ref>
<ref id="B18">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Galley</surname> <given-names>R. J.</given-names></name> <name><surname>Key</surname> <given-names>E.</given-names></name> <name><surname>Barber</surname> <given-names>D. G.</given-names></name> <name><surname>Hwang</surname> <given-names>B. J.</given-names></name> <name><surname>Ehn</surname> <given-names>J. K.</given-names></name></person-group> (<year>2008</year>). <article-title>Spatial and temporal variability of sea ice in the southern Beaufort Sea and Amundsen Gulf: 1980-2004</article-title>. <source>J. Geophys. Res. Oceans</source> <volume>113</volume>, <fpage>1</fpage>&#x02013;<lpage>18</lpage>. <pub-id pub-id-type="doi">10.1029/2007jc004553</pub-id></citation>
</ref>
<ref id="B19">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gentleman</surname> <given-names>W. C.</given-names></name> <name><surname>Neuheimer</surname> <given-names>A. B.</given-names></name> <name><surname>Campbell</surname> <given-names>R. G.</given-names></name></person-group> (<year>2008</year>). <article-title>Modelling copepod development: current limitations and a new realistic approach</article-title>. <source>ICES J. Mar. Sci.</source> <volume>65</volume>, <fpage>399</fpage>&#x02013;<lpage>413</lpage>. <pub-id pub-id-type="doi">10.1093/icesjms/fsn047</pub-id></citation>
</ref>
<ref id="B20">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Greene</surname> <given-names>C. H.</given-names></name> <name><surname>Pershing</surname> <given-names>A. J.</given-names></name></person-group> (<year>2014</year>). <article-title>The flip-side of the North Atlantic Oscillation and modal shifts in slope-water circulation patterns</article-title>. <source>Limnol. Oceanogr.</source> <volume>48</volume>, <fpage>319</fpage>&#x02013;<lpage>322</lpage>. <pub-id pub-id-type="doi">10.4319/lo.2003.48.1.0319</pub-id></citation>
</ref>
<ref id="B21">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Haq</surname> <given-names>S. M.</given-names></name></person-group> (<year>1967</year>). <article-title>Nutritional physiology of <italic>Metridia lucens</italic> and <italic>M. longa</italic> from the Gulf of Maine</article-title>. <source>Limnol. Oceanogr.</source> <volume>12</volume>, <fpage>40</fpage>&#x02013;<lpage>51</lpage>. <pub-id pub-id-type="doi">10.4319/lo.1967.12.1.0040</pub-id></citation>
</ref>
<ref id="B22">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Head</surname> <given-names>E. J. H.</given-names></name> <name><surname>Harris</surname> <given-names>L. R.</given-names></name> <name><surname>Yashayaev</surname> <given-names>I.</given-names></name></person-group> (<year>2003</year>). <article-title>Distributions of <italic>Calanus</italic> spp. and other mesozooplankton in the Labrador Sea in relation to hydrography in spring and summer (1995&#x02013;2000)</article-title>. <source>Prog. Oceanogr.</source> <volume>59</volume>, <fpage>1</fpage>&#x02013;<lpage>30</lpage>. <pub-id pub-id-type="doi">10.1016/S0079-6611(03)00111-3</pub-id></citation>
</ref>
<ref id="B23">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hiltunen</surname> <given-names>T.</given-names></name> <name><surname>Jones</surname> <given-names>L. E.</given-names></name> <name><surname>Ellner</surname> <given-names>S. P.</given-names></name> <name><surname>Hairston</surname> <given-names>N. G.</given-names></name></person-group> (<year>2013</year>). <article-title>Temporal dynamics of a simple community with intraguild predation: an experimental test</article-title>. <source>Ecology</source> <volume>94</volume>, <fpage>773</fpage>&#x02013;<lpage>779</lpage>. <pub-id pub-id-type="doi">10.1890/12-0786.1</pub-id></citation>
</ref>
<ref id="B24">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hirche</surname> <given-names>H. J.</given-names></name></person-group> (<year>1987</year>). <article-title>Temperature and plankton II. Effect on respiration and swimming activity in copepods from the Greenland Sea</article-title>. <source>Mar. Biol.</source> <volume>94</volume>, <fpage>347</fpage>&#x02013;<lpage>356</lpage>. <pub-id pub-id-type="doi">10.1007/BF00428240</pub-id></citation>
</ref>
<ref id="B25">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Holt</surname> <given-names>R. D.</given-names></name> <name><surname>Polis</surname> <given-names>G. A.</given-names></name></person-group> (<year>1997</year>). <article-title>A theoretical framework for intraguild predation</article-title>. <source>Am. Nat.</source> <volume>149</volume>, <fpage>745</fpage>&#x02013;<lpage>764</lpage>. <pub-id pub-id-type="doi">10.1086/286018</pub-id></citation>
</ref>
<ref id="B26">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hopcroft</surname> <given-names>R. R.</given-names></name> <name><surname>Kosobokova</surname> <given-names>K. N.</given-names></name> <name><surname>Pinchuk</surname> <given-names>A. I.</given-names></name></person-group> (<year>2010</year>). <article-title>Zooplankton community patterns in the Chukchi Sea during summer 2004</article-title>. <source>Deep Sea Res. Part II: Top. Stud. Oceanogr.</source> <volume>57</volume>, <fpage>27</fpage>&#x02013;<lpage>39</lpage>. <pub-id pub-id-type="doi">10.1016/j.dsr2.2009.08.003</pub-id></citation>
</ref>
<ref id="B27">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Huntley</surname> <given-names>M. E.</given-names></name> <name><surname>Escritor</surname> <given-names>F.</given-names></name></person-group> (<year>1992</year>). <article-title>Ecology of <italic>Metridia gerlachei</italic> Giesbrecht in the western Bransfield Strait, Antarctica</article-title>. <source>Deep Sea Res. Part A Oceanogr. Res. Pap.</source> <volume>39</volume>, <fpage>1027</fpage>&#x02013;<lpage>1055</lpage>. <pub-id pub-id-type="doi">10.1016/0198-0149(92)90038-U</pub-id></citation>
</ref>
<ref id="B28">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Irigoien</surname> <given-names>X.</given-names></name> <name><surname>Harris</surname> <given-names>R. P.</given-names></name></person-group> (<year>2006</year>). <article-title>Comparative population structure, abundance and vertical distribution of six copepod species in the North Atlantic: evidence for intraguild predation?</article-title> <source>Mar. Biol. Res.</source> <volume>2</volume>, <fpage>276</fpage>&#x02013;<lpage>290</lpage>. <pub-id pub-id-type="doi">10.1080/17451000600865321</pub-id></citation>
</ref>
<ref id="B29">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jung-Madsen</surname> <given-names>S.</given-names></name> <name><surname>Nielsen</surname> <given-names>T. G.</given-names></name> <name><surname>Gr&#x000F8;nkjaer</surname> <given-names>P.</given-names></name> <name><surname>Hansen</surname> <given-names>B. W.</given-names></name> <name><surname>M&#x000F8;ller</surname> <given-names>E. F.</given-names></name></person-group> (<year>2013</year>). <article-title>Early development of <italic>Calanus hyperboreus</italic> nauplii: response to a changing ocean</article-title>. <source>Limnol. Oceanogr.</source> <volume>58</volume>, <fpage>2109</fpage>&#x02013;<lpage>2121</lpage>. <pub-id pub-id-type="doi">10.4319/lo.2013.58.6.2109</pub-id></citation>
</ref>
<ref id="B30">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ki&#x000F8;rboe</surname> <given-names>T.</given-names></name></person-group> (<year>2011</year>). <article-title>How zooplankton feed: mechanisms, traits and trade-offs</article-title>. <source>Biol. Rev. Camb. Philos. Soc</source>. <volume>86</volume>, <fpage>311</fpage>&#x02013;<lpage>339</lpage>. <pub-id pub-id-type="doi">10.1111/j.1469-185X.2010.00148.x</pub-id><pub-id pub-id-type="pmid">20682007</pub-id></citation>
</ref>
<ref id="B31">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ki&#x000F8;rboe</surname> <given-names>T.</given-names></name></person-group> (<year>2013</year>). <article-title>Attack or attacked: the sensory and fluid mechanical constraints of copepods&#x00027; predator-prey interactions</article-title>. <source>Integr. Comp. Biol.</source> <volume>53</volume>, <fpage>821</fpage>&#x02013;<lpage>831</lpage>. <pub-id pub-id-type="doi">10.1093/icb/ict021</pub-id><pub-id pub-id-type="pmid">26615376</pub-id></citation>
</ref>
<ref id="B32">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kwasniewski</surname> <given-names>S.</given-names></name> <name><surname>Gluchowska</surname> <given-names>M.</given-names></name> <name><surname>Jakubas</surname> <given-names>D.</given-names></name> <name><surname>Wojczulanis-Jakubas</surname> <given-names>K.</given-names></name> <name><surname>Walkusz</surname> <given-names>W.</given-names></name> <name><surname>Karnovsky</surname> <given-names>N.</given-names></name> <etal/></person-group>. (<year>2010</year>). <article-title>The impact of different hydrographic conditions and zooplankton communities on provisioning Little Auks along the West coast of Spitsbergen</article-title>. <source>Prog. Oceanogr.</source> <volume>87</volume>, <fpage>72</fpage>&#x02013;<lpage>82</lpage>. <pub-id pub-id-type="doi">10.1016/j.pocean.2010.06.004</pub-id></citation>
</ref>
<ref id="B33">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Landry</surname> <given-names>M. R.</given-names></name></person-group> (<year>1981</year>). <article-title>Switching Between Herbivory and Carnivory by the Planktonic Marine Copepod <italic>Calanus pacificus</italic></article-title>. <source>Mar. Biol.</source> <volume>65</volume>, <fpage>77</fpage>&#x02013;<lpage>82</lpage>. <pub-id pub-id-type="doi">10.1007/BF00397070</pub-id></citation>
</ref>
<ref id="B34">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lee</surname> <given-names>R. F.</given-names></name> <name><surname>Hagen</surname> <given-names>W.</given-names></name> <name><surname>Kattner</surname> <given-names>G.</given-names></name></person-group> (<year>2006</year>). <article-title>Lipid storage in marine zooplankton</article-title>. <source>Mar. Ecol. Prog. Ser.</source> <volume>307</volume>, <fpage>273</fpage>&#x02013;<lpage>306</lpage>. <pub-id pub-id-type="doi">10.3354/meps307273</pub-id></citation>
</ref>
<ref id="B35">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Le Fouest</surname> <given-names>V.</given-names></name> <name><surname>Lefouest</surname> <given-names>V.</given-names></name> <name><surname>Zakardjian</surname> <given-names>B.</given-names></name> <name><surname>Saucier</surname> <given-names>F. J.</given-names></name> <name><surname>Starr</surname> <given-names>M.</given-names></name></person-group> (<year>2005</year>). <article-title>Seasonal versus synoptic variability in planktonic production in a high-latitude marginal sea: The Gulf of St. Lawrence (Canada)</article-title>. <source>J. Geophys. Res. C Oceans</source> <volume>110</volume>, <fpage>1</fpage>&#x02013;<lpage>21</lpage>. <pub-id pub-id-type="doi">10.1029/2004JC002423</pub-id></citation>
</ref>
<ref id="B36">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Melle</surname> <given-names>W.</given-names></name> <name><surname>Runge</surname> <given-names>J.</given-names></name> <name><surname>Head</surname> <given-names>E.</given-names></name> <name><surname>Plourde</surname> <given-names>S.</given-names></name> <name><surname>Castellani</surname> <given-names>C.</given-names></name> <name><surname>Licandro</surname> <given-names>P.</given-names></name> <etal/></person-group>. (<year>2014</year>). <article-title>The North Atlantic Ocean as habitat for <italic>Calanus finmarchicus</italic>: environmental factors and life history traits</article-title>. <source>Prog. Oceanogr.</source> <volume>129</volume>, <fpage>244</fpage>&#x02013;<lpage>284</lpage>. <pub-id pub-id-type="doi">10.1016/j.pocean.2014.04.026</pub-id></citation>
</ref>
<ref id="B37">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Menden-Deuer</surname> <given-names>S.</given-names></name> <name><surname>Lessard</surname> <given-names>E. J.</given-names></name></person-group> (<year>2000</year>). <article-title>Carbon to volume relationships for dinoflagellates, diatoms, and other protist plankton</article-title>. <source>Limnol. Oceanogr.</source> <volume>45</volume>, <fpage>569</fpage>&#x02013;<lpage>579</lpage>. <pub-id pub-id-type="doi">10.4319/lo.2000.45.3.0569</pub-id></citation>
</ref>
<ref id="B38">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mills</surname> <given-names>K. E.</given-names></name> <name><surname>Pershing</surname> <given-names>A. J.</given-names></name> <name><surname>Sheehan</surname> <given-names>T. F.</given-names></name> <name><surname>Mountain</surname> <given-names>D.</given-names></name></person-group> (<year>2013</year>). <article-title>Climate and ecosystem linkages explain widespread declines in North American Atlantic salmon populations</article-title>. <source>Glob. Chang. Biol.</source> <volume>19</volume>, <fpage>3046</fpage>&#x02013;<lpage>3061</lpage>. <pub-id pub-id-type="doi">10.1111/gcb.12298</pub-id><pub-id pub-id-type="pmid">23780876</pub-id></citation>
</ref>
<ref id="B39">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Morozov</surname> <given-names>A.</given-names></name> <name><surname>Pasternak</surname> <given-names>A. F.</given-names></name> <name><surname>Arashkevich</surname> <given-names>E. G.</given-names></name></person-group> (<year>2013</year>). <article-title>Revisiting the role of individual variability in population persistence and stability</article-title>. <source>PLoS ONE</source> <volume>8</volume>:<fpage>e70576</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0070576</pub-id><pub-id pub-id-type="pmid">23936450</pub-id></citation>
</ref>
<ref id="B40">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Neuheimer</surname> <given-names>A. B.</given-names></name> <name><surname>Gentleman</surname> <given-names>W. C.</given-names></name> <name><surname>Pepin</surname> <given-names>P.</given-names></name> <name><surname>Head</surname> <given-names>E. J. H.</given-names></name></person-group> (<year>2010</year>). <article-title>How to build and use individual-based models (IBMs) as hypothesis testing tools</article-title>. <source>J. Mar. Syst.</source> <volume>81</volume>, <fpage>122</fpage>&#x02013;<lpage>133</lpage>. <pub-id pub-id-type="doi">10.1016/j.jmarsys.2009.12.009</pub-id></citation>
</ref>
<ref id="B41">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ohman</surname> <given-names>M. D.</given-names></name> <name><surname>Hirche</surname> <given-names>H. J.</given-names></name></person-group> (<year>2001</year>). <article-title>Density-dependent mortality in an oceanic copepod population</article-title>. <source>Nature</source> <volume>412</volume>, <fpage>638</fpage>&#x02013;<lpage>641</lpage>. <pub-id pub-id-type="doi">10.1038/35088068</pub-id><pub-id pub-id-type="pmid">11493921</pub-id></citation>
</ref>
<ref id="B42">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ohman</surname> <given-names>M.</given-names></name> <name><surname>Eiane</surname> <given-names>K.</given-names></name> <name><surname>Durbin</surname> <given-names>E.</given-names></name> <name><surname>Runge</surname> <given-names>J.</given-names></name> <name><surname>Hirche</surname> <given-names>H.</given-names></name></person-group> (<year>2004</year>). <article-title>A comparative study of <italic>Calanus finmarchicus</italic> mortality patterns at five localities in the North Atlantic</article-title>. <source>ICES J. Mar. Sci.</source> <volume>61</volume>, <fpage>687</fpage>&#x02013;<lpage>697</lpage>. <pub-id pub-id-type="doi">10.1016/j.icesjms.2004.03.016</pub-id></citation>
</ref>
<ref id="B43">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Plourde</surname> <given-names>S.</given-names></name> <name><surname>Dodson</surname> <given-names>J. J.</given-names></name> <name><surname>Runge</surname> <given-names>J. A.</given-names></name> <name><surname>Therriault</surname> <given-names>J. C.</given-names></name></person-group> (<year>2002</year>). <article-title>Spatial and temporal variations in copepod community structure in the lower St. Lawrence Estuary, Canada</article-title>. <source>Mar. Ecol. Prog. Ser.</source> <volume>230</volume>, <fpage>211</fpage>&#x02013;<lpage>224</lpage>. <pub-id pub-id-type="doi">10.3354/meps230211</pub-id></citation>
</ref>
<ref id="B44">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Plourde</surname> <given-names>S.</given-names></name> <name><surname>Joly</surname> <given-names>P.</given-names></name> <name><surname>Runge</surname> <given-names>J. A.</given-names></name> <name><surname>Dodson</surname> <given-names>J.</given-names></name> <name><surname>Zakardjian</surname> <given-names>B.</given-names></name></person-group> (<year>2003</year>). <article-title>Life cycle of <italic>Calanus hyperboreus</italic> in the lower St. Lawrence Estuary and its relationship to local environmental conditions</article-title>. <source>Mar. Ecol. Prog. Ser.</source> <volume>255</volume>, <fpage>219</fpage>&#x02013;<lpage>233</lpage>. <pub-id pub-id-type="doi">10.3354/meps255219</pub-id></citation>
</ref>
<ref id="B45">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Plourde</surname> <given-names>S.</given-names></name> <name><surname>Maps</surname> <given-names>F.</given-names></name> <name><surname>Joly</surname> <given-names>P.</given-names></name></person-group> (<year>2009</year>). <article-title>Mortality and survival in early stages control recruitment in <italic>Calanus finmarchicus</italic></article-title>. <source>J. Plankton Res.</source> <volume>31</volume>, <fpage>371</fpage>&#x02013;<lpage>388</lpage>. <pub-id pub-id-type="doi">10.1093/plankt/fbn126</pub-id></citation>
</ref>
<ref id="B46">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Polis</surname> <given-names>G. A.</given-names></name> <name><surname>Myers</surname> <given-names>C. A.</given-names></name> <name><surname>Holt</surname> <given-names>R. D.</given-names></name></person-group> (<year>1989</year>). <article-title>The ecology and evolution of intraguild: potential competitors that eat each other</article-title>. <source>Annu. Rev. Ecol. Syst.</source> <volume>20</volume>, <fpage>297</fpage>&#x02013;<lpage>330</lpage>. <pub-id pub-id-type="doi">10.1146/annurev.es.20.110189.001501</pub-id></citation>
</ref>
<ref id="B47">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Pomerleau</surname> <given-names>C.</given-names></name> <name><surname>Lesage</surname> <given-names>V.</given-names></name> <name><surname>Winkler</surname> <given-names>G.</given-names></name> <name><surname>Rosenberg</surname> <given-names>B.</given-names></name> <name><surname>Ferguson</surname> <given-names>S. H.</given-names></name></person-group> (<year>2014</year>). <article-title>Contemporary diet of bowhead whales (<italic>Balaena mysticetus</italic>) from the Eastern Canadian Arctic inferred from fatty acid biomarkers</article-title>. <source>Arctic</source> <volume>67</volume>, <fpage>84</fpage>. <pub-id pub-id-type="doi">10.14430/arctic4366</pub-id></citation>
</ref>
<ref id="B48">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Record</surname> <given-names>N. R.</given-names></name> <name><surname>Pershing</surname> <given-names>A. J.</given-names></name></person-group> (<year>2008</year>). <article-title>Modeling zooplankton development using the monotonic upstream scheme for conservation laws</article-title>. <source>Limnol. Oceanogr. Methods</source> <volume>6</volume>, <fpage>364</fpage>&#x02013;<lpage>372</lpage>. <pub-id pub-id-type="doi">10.4319/lom.2008.6.364</pub-id></citation>
</ref>
<ref id="B49">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Record</surname> <given-names>N. R.</given-names></name> <name><surname>Pershing</surname> <given-names>A. J.</given-names></name> <name><surname>Maps</surname> <given-names>F.</given-names></name></person-group> (<year>2012</year>). <article-title>First principles of copepod development help explain global marine diversity patterns</article-title>. <source>Oecologia</source> <volume>170</volume>, <fpage>289</fpage>&#x02013;<lpage>295</lpage>. <pub-id pub-id-type="doi">10.1007/s00442-012-2313-0</pub-id><pub-id pub-id-type="pmid">22476710</pub-id></citation>
</ref>
<ref id="B50">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Record</surname> <given-names>N. R.</given-names></name> <name><surname>Pershing</surname> <given-names>A. J.</given-names></name> <name><surname>Maps</surname> <given-names>F.</given-names></name></person-group> (<year>2013</year>). <article-title>Emergent copepod communities in an adaptive trait-structured model</article-title>. <source>Ecol. Model.</source> <volume>260</volume>, <fpage>11</fpage>&#x02013;<lpage>24</lpage>. <pub-id pub-id-type="doi">10.1016/j.ecolmodel.2013.03.018</pub-id></citation>
</ref>
<ref id="B51">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Reygondeau</surname> <given-names>G.</given-names></name> <name><surname>Beaugrand</surname> <given-names>G.</given-names></name></person-group> (<year>2011</year>). <article-title>Future climate-driven shifts in distribution of <italic>Calanus finmarchicus</italic></article-title>. <source>Glob. Chang. Biol.</source> <volume>17</volume>, <fpage>756</fpage>&#x02013;<lpage>766</lpage>. <pub-id pub-id-type="doi">10.1111/j.1365-2486.2010.02310.x</pub-id></citation>
</ref>
<ref id="B52">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Saucier</surname> <given-names>F. J.</given-names></name> <name><surname>Roy</surname> <given-names>F.</given-names></name> <name><surname>Gilbert</surname> <given-names>D.</given-names></name></person-group> (<year>2003</year>). <article-title>Modeling the formation and circulation processes of water masses and sea ice in the Gulf of St. Lawrence, Canada</article-title>. <source>J. Geophys. Res.</source> <volume>3269</volume>, <fpage>2501</fpage>&#x02013;<lpage>2520</lpage>. <pub-id pub-id-type="doi">10.1029/2000jc000686</pub-id></citation>
</ref>
<ref id="B53">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Schmid</surname> <given-names>M. S.</given-names></name> <name><surname>Aubry</surname> <given-names>C.</given-names></name> <name><surname>Grigor</surname> <given-names>J.</given-names></name> <name><surname>Fortier</surname> <given-names>L.</given-names></name></person-group> (<year>2016</year>). <article-title>The LOKI underwater imaging system and an automatic identification model for the detection of zooplankton taxa in the Arctic Ocean</article-title>. <source>Methods Oceanogr.</source> <volume>160</volume>, <fpage>129</fpage>&#x02013;<lpage>160</lpage>. <pub-id pub-id-type="doi">10.1016/j.mio.2016.03.003</pub-id></citation>
</ref>
<ref id="B54">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Seuthe</surname> <given-names>L.</given-names></name> <name><surname>Darnis</surname> <given-names>G.</given-names></name> <name><surname>Riser</surname> <given-names>C. W.</given-names></name> <name><surname>Wassmann</surname> <given-names>P.</given-names></name> <name><surname>Fortier</surname> <given-names>L.</given-names></name></person-group> (<year>2006</year>). <article-title>Winter&#x02013;spring feeding and metabolism of Arctic copepods: insights from faecal pellet production and respiration measurements in the southeastern Beaufort Sea</article-title>. <source>Polar Biology</source> <volume>30</volume>, <fpage>427</fpage>&#x02013;<lpage>436</lpage>. <pub-id pub-id-type="doi">10.1007/s00300-006-0199-1</pub-id></citation>
</ref>
<ref id="B55">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Soetaert</surname> <given-names>K.</given-names></name> <name><surname>Herman</surname> <given-names>P. M. J.</given-names></name></person-group> (<year>2009</year>). <source>A Practical Guide to Ecological Modelling</source>. <publisher-loc>Dordrecht</publisher-loc>: <publisher-name>Springer</publisher-name>.</citation>
</ref>
<ref id="B56">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Vestheim</surname> <given-names>H.</given-names></name> <name><surname>Brucet</surname> <given-names>S.</given-names></name> <name><surname>Kaartvedt</surname> <given-names>S.</given-names></name></person-group> (<year>2013</year>). <article-title>Vertical distribution, feeding and vulnerability to tactile predation in <italic>Metridia longa</italic> (Copepoda, Calanoida)</article-title>. <source>Mar. Biol. Res.</source> <volume>9</volume>, <fpage>949</fpage>&#x02013;<lpage>957</lpage>. <pub-id pub-id-type="doi">10.1080/17451000.2013.793806</pub-id></citation>
</ref>
<ref id="B57">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Visser</surname> <given-names>A. W. W.</given-names></name> <name><surname>J&#x000F3;nasd&#x000F3;ttir</surname> <given-names>S. H.</given-names></name></person-group> (<year>1999</year>). <article-title>Lipids, buoyancy and the seasonal vertical migration of <italic>Calanus finmarchicus</italic></article-title>. <source>Fish. Oceanogr.</source> <volume>8</volume>, <fpage>100</fpage>&#x02013;<lpage>106</lpage>. <pub-id pub-id-type="doi">10.1046/j.1365-2419.1999.00001.x</pub-id></citation>
</ref>
</ref-list>
</back>
</article>