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<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Research article}?>
  <front>
    <journal-meta><journal-id journal-id-type="publisher">BG</journal-id><journal-title-group>
    <journal-title>Biogeosciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">BG</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Biogeosciences</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1726-4189</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/bg-21-1071-2024</article-id><title-group><article-title>Quantifying the <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N trophic offset in a cold-water scleractinian coral (CWC): implications for the CWC diet and coral <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N as a marine N cycle proxy</article-title><alt-title>Quantifying the <inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N trophic offset</alt-title>
      </title-group><?xmltex \runningtitle{Quantifying the $\delta^{{15}}$N trophic offset}?><?xmltex \runningauthor{J.~Mottram et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Mottram</surname><given-names>Josie L.</given-names></name>
          
        <ext-link>https://orcid.org/0009-0003-3340-0289</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff2">
          <name><surname>Gothmann</surname><given-names>Anne M.</given-names></name>
          <email>gothma1@stolaf.edu</email>
        <ext-link>https://orcid.org/0000-0001-8408-9839</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Prokopenko</surname><given-names>Maria G.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Cordova</surname><given-names>Austin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rollinson</surname><given-names>Veronica</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5224-0506</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Dobkowski</surname><given-names>Katie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5440-7971</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Granger</surname><given-names>Julie</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Department of Marine Sciences, University of Connecticut, Storrs, CT 06340, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Departments of Physics and Environmental Studies, St. Olaf College, Northfield, MN 55057, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Geology, Pomona College, Claremont, CA 91711, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Environmental Studies, Woodbury University, Burbank, CA 91504, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Anne M. Gothmann (gothma1@stolaf.edu)</corresp></author-notes><pub-date><day>5</day><month>March</month><year>2024</year></pub-date>
      
      <volume>21</volume>
      <issue>5</issue>
      <fpage>1071</fpage><lpage>1091</lpage>
      <history>
        <date date-type="received"><day>8</day><month>August</month><year>2023</year></date>
           <date date-type="rev-request"><day>21</day><month>August</month><year>2023</year></date>
           <date date-type="rev-recd"><day>20</day><month>December</month><year>2023</year></date>
           <date date-type="accepted"><day>20</day><month>December</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2024 Josie L. Mottram et al.</copyright-statement>
        <copyright-year>2024</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://bg.copernicus.org/articles/21/1071/2024/bg-21-1071-2024.html">This article is available from https://bg.copernicus.org/articles/21/1071/2024/bg-21-1071-2024.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/21/1071/2024/bg-21-1071-2024.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/21/1071/2024/bg-21-1071-2024.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e189">The nitrogen (N) isotope composition (<inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N) of cold-water corals is a promising proxy for reconstructing past ocean N cycling, as a strong correlation was found between the <inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the organic nitrogen preserved in coral skeletons and the <inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of particulate organic matter exported from the surface ocean. However, a large offset of 8 ‰–9 ‰  between the <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N recorded by the coral and that of exported particulate organic matter remains unexplained. The 8 ‰–9 ‰  offset may signal a higher trophic level of coral dietary sources, an unusually large trophic isotope effect or a biosynthetic <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N offset between the coral's soft tissue and skeletal organic matter, or some combinations of these factors. To understand the origin of the offset and further validate the proxy, we investigated the trophic ecology of the asymbiotic scleractinian cold-water coral <italic>Balanophyllia elegans,</italic> both in a laboratory setting and in its natural habitat. A long-term incubation experiment of <italic>B. elegans</italic> fed on an isotopically controlled diet yielded a canonical trophic isotope effect of 3.0 <inline-formula><mml:math id="M9" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ between coral soft tissue and the <italic>Artemia</italic> prey. The trophic isotope effect was not detectably influenced by sustained food limitation. A long N turnover of coral soft tissue, expressed as an <inline-formula><mml:math id="M10" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-folding time, of 291 <inline-formula><mml:math id="M11" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15 d in the well-fed incubations indicates that coral skeleton <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N is not likely to track subannual (e.g., seasonal) variability in diet <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N. Specimens of <italic>B. elegans</italic> from the subtidal zone near San Juan Channel (WA, USA) revealed a modest difference  of 1.2 <inline-formula><mml:math id="M14" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 ‰ between soft tissue and skeletal <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N. The <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the coral soft tissue was 12.0 <inline-formula><mml:math id="M17" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 ‰, which was <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> ‰ higher than that of suspended organic material that was comprised dominantly of phytoplankton – suggesting that phytoplankton is not the primary component of <italic>B. elegans'</italic> diet. An analysis of size-fractionated net tow material suggests that <italic>B. elegans</italic> fed predominantly on a size class of zooplankton <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m, implicating a two-level trophic transfer between phytoplankton material and coral tissue. These results point to a feeding strategy that may result in an influence of the regional food web structure on the cold-water coral <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N. This factor should be taken into consideration when applying the proxy to paleo-oceanographic studies of ocean N cycling.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Directorate for Geosciences</funding-source>
<award-id>OCE-1949984</award-id>
<award-id>OCE-1949132</award-id>
<award-id>OCE-1949119</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e396">Interactions between ocean circulation and nutrient cycling modulate the marine biological carbon pump, the consequent partitioning of CO<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> between atmosphere and ocean, and thus influence planetary climate on centennial to millennial timescales (Sigman and Boyle, 2000). The marine nitrogen (N) cycle is highly sensitive to these interactions, such that knowledge of modern and ancient ocean N cycling can help illuminate drivers of past climate and contextualize modern global change (e.g., Altabet et al., 1994; Francois et<?pagebreak page1072?> al., 1997; Robinson and Sigman 2008; Sigman et al., 1999; Kast et al., 2019).</p>
      <p id="d1e408">The main tool to investigate the oceanic N cycle history is the nitrogen (N) isotope composition (i.e., the <inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N <inline-formula><mml:math id="M24" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N ratio) of particulate organic nitrogen (PON) exported from the euphotic zone and preserved in various paleo-archives, including bulk sedimentary N in anoxic sediments (reviewed by Robinson et al., 2023). Hereafter, we express the <inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N <inline-formula><mml:math id="M27" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N ratio using delta notation (<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N). The <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-PON recorded in paleo-oceanographic archives reflects both regional N cycling processes and the balance of global ocean N source and sink terms (Sigman and Fripiat, 2019; Brandes and Devol, 2002). In regions of the ocean where nitrate is quantitatively consumed, the annually integrated <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-PON exported from the surface reflects the isotopic composition of thermocline nitrate (Altabet et al., 1991). The latter is influenced by the circulation history of nitrate (e.g., Marconi et al., 2015), by regional N<inline-formula><mml:math id="M32" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fixation (e.g., Casciotti et al., 2008; Knapp et al., 2008) and by water column denitrification (e.g., Pride et al., 1999; De Pol-Holz et al., 2007). In regions with incomplete consumption of surface nitrate, such as the Southern Ocean, the isotopic discrimination imparted during nitrate assimilation is reflected in the <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-PON, which can be used to reconstruct the degree of surface nitrate consumption in the past (e.g., Sigman et al., 1999; Francois et al., 1997).</p>
      <p id="d1e515">Accurate interpretation of the N cycle's paleo-history relies on the presumption that the <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-PON preserved in various paleo-oceanographic archives is impervious to organic matter diagenesis. Thus, bulk sedimentary <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N measurements are generally inadequate in this respect, subject to post-depositional processes (Robinson et al., 2012) – barring fast-accumulating organic-rich anoxic sediments with a negligible contribution from terrestrial sources (e.g., Altabet et al., 2002; Ganeshram and Pedersen, 1998). To circumvent this limitation, several “biological” archives of <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-PON have been developed that are deemed resistant to diagenetic alteration. These include the organic matter in diatom frustules and foraminifera tests (e.g., Ren et al., 2009; Robinson and Sigman, 2008) and the organic matter in proteinaceous corals (e.g., Sherwood et al., 2009; Williams and Grottoli, 2010). Recently, the <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of organic N enclosed within the aragonite mineral lattice of asymbiotic scleractinian (stony) cold-water corals (CWCs) has been found to reflect the <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-PON exported from the surface ocean (Wang et al., 2014), offering an exciting new archive of marine N cycling (Wang et al., 2017; Li et al., 2020; Studer et al., 2018; Chen et al., 2023). A robust cold-water coral archive of <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-PON can complement the existing suite of nitrogen proxies by reducing the potential biases inevitable in almost any individual proxy, allowing for a broader geographic and temporal reconstruction, and increasing the resolution of the proxy record. Foremost, as with foraminifera and diatom shells, organic material trapped within the coral's original aragonite mineral lattice is largely protected from diagenetic alteration (Drake et al., 2021), and compromised areas can be avoided by inspecting the skeletons for contamination and recrystallization (e.g., borings) using microscopic techniques (Gothmann et al., 2015). CWCs have a broad geographic distribution, being present in all ocean basins from the surface to 5000 m (Freiwald, 2002). CWCs also offer the potential to generate high-resolution records extending relatively far back in time; moreover, corals have continuous skeletal accretion that records ocean conditions at the time of growth, so the analysis of multiple individuals provides enhanced temporal resolution of long-term records (Robinson et al., 2014; Hines et al., 2015). Unlike sediments containing microfossils (e.g., diatoms and foraminifera), CWC skeletons are not subject to bioturbation, and absolute ages of this paleo-archive can be determined with decadal precision on the timescales of glacial–interglacial climate variability through U–Th series dating (Cheng et al., 2000; Goodfriend et al., 1992; Robinson et al., 2014; Li et al., 2020). Remarkably, individual coral samples can archive multiple seawater properties, such that a single CWC specimen can potentially be used to reconstruct deep (e.g., <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Δ</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C, pH, temperature, and circulation proxies such as Ba <inline-formula><mml:math id="M41" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Ca and <inline-formula><mml:math id="M42" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>Nd) and surface (<inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N) ocean conditions at a precisely known time (U–Th dating), making CWC unique as a paleo-oceanographic archive (Robinson et al., 2014; Thiagarajan et al., 2014; Rae et al., 2018).</p>
      <p id="d1e621">However, an outstanding concern about the fidelity of the <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of coral-bound organic N is a reported 8 ‰–9 ‰  offset between coral-bound <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and the corresponding <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-PON exported to regions of coral growth (Wang et al., 2014). The magnitude of this offset substantially exceeds the 3 ‰–3.5 ‰ expected for a single trophic transfer (Minagawa and Wada, 1984), assuming that CWC feed predominantly on algal material exported from the surface ocean. Wang et al. (2014) explained the magnitude of the offset by arguing that CWCs feed on the more abundant pool of surface-derived suspended particulate organic material (SPOM), as the <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of SPOM at depth is typically <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> ‰–5 ‰ higher than that of sinking PON (Altabet, 1988; Saino and Hattori, 1987). While CWCs are considered generalists with regard to diet (e.g., Mortensen, 2001; Freiwald, 2002; Carlier et al., 2009; Maier et al., 2023), a number of studies suggest that many species of CWC subsist predominantly on metazoan zooplankton prey (e.g., Naumann et al., 2011; Kiriakoulakis et al., 2005; Purser et al., 2010; Tsounis et al., 2010). A zooplankton diet should result in an approximate two-level or more trophic transfer between surface PON and coral tissue (e.g., Sherwood et al., 2008), closer to the observed 8 ‰–9 ‰ offset, potentially rendering coral-bound <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N sensitive to spatial and temporal differences in the trophic-level food web structure. An alternative explanation for the offset is that there is a large biosynthetic offset between the <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the CWC polyp and its skeletal tissue (Horn et al., 2011; Muscatine et al., 2005), assuming that CWCs' diet derives directly from sinking algal material from the surface ocean. Otherwise, there could<?pagebreak page1073?> be an atypically large N isotope fractionation associated with the trophic-level transfer between the coral diet and its tissue (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> ‰–3.5 ‰), possibly borne out of intermittent starvation periods (Doi et al., 2017), which is then passed on to the organic matrix within the coral skeleton. The gap in our understanding of how corals record the <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N-PON exported from the surface ocean raises questions regarding the consistency of the offset in space and time as well as whether it is likely to differ among CWC species or due to intraspecific variations in diet.</p>
      <p id="d1e723">Due to the challenges of accessing deep-ocean environments, the trophic ecology of CWCs is sparsely documented, although it is fundamental to understanding their role in cold-water reef ecosystems and to defining their utility as paleo-oceanographic archives of N cycling. The nature of the <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N offset between CWC skeletal material and exported PON must be explained in order to further validate and potentially improve the use of <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of CWC skeletons as a proxy to reconstruct the history of exported PON and to further understand the role of CWCs in benthic ecosystems. To this end, we studied <italic>Balanophyllia elegans</italic>, an asymbiotic scleractinian cold-water coral found along the west coast of North America that grows as individual polyps (Fadlallah, 1983). We investigated the following questions: <list list-type="custom"><list-item><label>a.</label>
      <p id="d1e753">Is there a large offset in <inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N between coral polyp tissue and coral skeletal tissue?</p></list-item><list-item><label>b.</label>
      <p id="d1e768">Is there an unusually large trophic-level offset between coral tissue and coral diet?</p></list-item><list-item><label>c.</label>
      <p id="d1e772">Does <italic>B. elegans</italic> feed predominantly on suspended particulate organic matter (SPOM) in situ?</p></list-item><list-item><label>d.</label>
      <p id="d1e779">Does <italic>B. elegans</italic> feed predominantly on metazoan zooplankton, resulting in a two-level trophic transfer between coral tissue and N of export?</p></list-item></list> To evaluate question (a), we measured the <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of tissue–skeleton pairs of coral samples collected in their natural habitat. To evaluate question (b), we cultured <italic>B. elegans</italic> corals in the laboratory in experiments in which both the isotopic composition of food and the frequency of feeding was controlled. To evaluate questions (c) and (d), we also investigated the <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of various components of the food web at a field site where <italic>B. elegans</italic> is abundant. Our observations offer novel insights into the growth and trophic ecology of <italic>B. elegans</italic>, providing unique new data on the N metabolism of CWCs and their feeding ecology. We contextualize our conclusions to inform the use of CWC archives as a paleo-proxy for marine N cycling and ocean biogeochemistry.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Collection of live-coral specimens</title>
      <p id="d1e834">Individual specimens of the cold-water coral <italic>Balanophyllia elegans </italic>were collected during four sampling campaigns in March and June 2019 and in September and November 2020 from the San Juan Channel near the University of Washington's Friday Harbor Laboratories off the coast of Washington state in the Salish Sea (48.5° N, 123.0° W; Fig. 1). <italic>B. elegans </italic> is a solitary, asymbiotic cold-water cup coral native to the Pacific Northwest that can be found both in shallow, rocky environments and at depths as great as 500 m (Durham and Barnard, 1952). The genus <italic>Balanophyllia </italic> is cosmopolitan, and fossil samples as old as the Eocene in age have been used for paleo-environmental study (Muhs et al., 1994; Gothmann et al., 2015; Gagnon et al., 2021). <italic>B. elegans's</italic> presence at near-surface depths makes it an easy target for culture experiments, and <italic>Balanophyllia</italic> sp. can be found co-occurring with the similar but more widely applied cold-water coral archive <italic>Desmophyllum dianthus</italic> (Margolin et al., 2014). Therefore, we consider the asymbiotic <italic>Balanophyllia</italic> sp. to be generally representative of other deep cold-water coral species.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e861"><bold>(a)</bold> Map of the San Juan Islands indicating the collection site of <italic>B. elegans</italic> specimens and hydrographic measurements (created using <uri>http://www.geomapapp.org</uri> (last access: 13 December 2023); Ryan et al., 2009). The inset shows where the San Juan Islands are situated within North America. <bold>(b)</bold> Image of <italic>B. elegans</italic> from the San Juan Channel near Friday Harbor Laboratories taken by Rhoda Green.</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://bg.copernicus.org/articles/21/1071/2024/bg-21-1071-2024-f01.jpg"/>

        </fig>

      <p id="d1e884"><italic>B. elegans</italic> specimens were collected at 10–20 m depth by divers who gently removed the corals from vertical rock walls using blunt-tipped diving knives. Of the live corals collected, a subset was immediately frozen at <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> °C for N isotope ratio analyses of soft tissue and organic matter bound in the coral skeleton matrix. Live specimens were shipped overnight in small bags of seawater on ice to St. Olaf College (Minnesota, USA). Corals were cleaned, by gently scraping the exposed skeleton with dental tools to remove encrusting organisms, and placed in incubation bottles with artificial seawater for recovery prior to feeding experiments (described below).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Live-coral maintenance</title>
      <p id="d1e907">Live <italic>B. elegans</italic> corals were maintained in artificial seawater medium prepared from nitrate-free Instant Ocean<sup>®</sup> sea salt. Salts were dissolved in deionized water to a salinity of 28.0 <inline-formula><mml:math id="M59" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.25 – akin to the conditions at the collection site (Murray et al., 2015) – and sparged with air to achieve atmospheric equilibrium. The pH of the seawater was measured with a YSI brand 4130 pH probe and adjusted using dilute (0.1 N) hydrochloric acid or sodium hydroxide to 8.14 <inline-formula><mml:math id="M60" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05, slightly higher than in situ conditions, to promote skeletal growth. Batch seawater was then allotted to 2 L airtight polypropylene bottles to incubate single coral polyps. Bottles were pre-cleaned with fragrance-free soap and multiple rinses of deionized water. The salinity, pH, and temperature in the incubation bottles were monitored using YSI brand probes (4310-3 conductivity and temperature sensor and 4130 pH probe, respectively), and dissolved oxygen concentrations were measured using an optical sensor<?pagebreak page1074?> (FDO 4410; Fig. S1); a MultiLab 4010–3W was used as the digital meter for the sensors. The bottles containing individual corals were randomly distributed among three recirculating water baths maintained at a constant temperature of 12.5 <inline-formula><mml:math id="M61" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 °C, akin to the conditions at the collection site (Murray et al., 2015). Small but quasi-systematic differences of <inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> °C were observed among the three recirculating tanks (Fig. S2). Corals were sustained on a diet of <italic>Artemia</italic> <italic>salina</italic> nauplii (described below), fed twice a week to ensure maximum growth (Crook et al., 2013). Seawater in the incubation bottles was replaced twice a week after the corals were fed, based on observations indicating that seawater pH in the bottles decreased slightly but significantly by <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn></mml:mrow></mml:math></inline-formula> pH units over 3 d due to coral respiration (statistical analysis was performed with RStudio; Welch two-sample <inline-formula><mml:math id="M64" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test; <inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">515.07</mml:mn><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">12.8</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M66" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M67" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.01; Fig. S3). Dissolved oxygen concentrations remained near atmospheric equilibrium at concentration of 7.5 <inline-formula><mml:math id="M68" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 mg L<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Fig. S1). Nitrate concentrations in the bottles were also monitored from samples taken during each water change, in the freshly prepared seawater and in spent seawater, revealing low variability of 0.7 <inline-formula><mml:math id="M70" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol L<inline-formula><mml:math id="M72" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the NO<inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentration (Fig. S4). Nitrate concentrations in the incubations were notably lower than ambient levels at the collection site, where concentrations were <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol L<inline-formula><mml:math id="M76" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, ensuring that the coral's only source of nitrogen was the <italic>Artemia</italic> diet (Murray et al., 2015).</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Coral culture experiments</title>
<sec id="Ch1.S2.SS3.SSS1">
  <label>2.3.1</label><title>Experiment to quantify the trophic isotope effect</title>
      <p id="d1e1111">The corals were acclimated to precise incubation conditions for approximately 20 h before initiating feeding experiments. To assess the <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of coral soft tissue compared to that of its food source, four experimental groups of individual <italic>B. elegans</italic> corals were fed respective diets of <italic>Artemia salina</italic> nauplii with different <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values, twice per week for 530 d (Spero et al., 1993). Unhatched <italic>Artemia salina</italic> sourced from specific geographic locations have widely different <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values, owing to the different N isotope dynamics of the environments from which they were collected, which makes these organisms useful for trophic studies (Spero et al., 1993). Eighteen coral specimens were fed <italic>Artemia</italic> nauplii hatched from cysts from the Great Salt Lake (reference code: GSL) with a <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 17.0 <inline-formula><mml:math id="M81" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰. Twelve corals were fed hatched nauplii from Lake Ulzhay in Russia (reference code: 1816) with a <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 13.8 <inline-formula><mml:math id="M83" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰. Twelve corals were fed hatched nauplii from Vinh Chau in Vietnam (reference code: 1805) with a <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 9.9 <inline-formula><mml:math id="M85" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰. Twelve corals were fed hatched nauplii from Tibet (reference code: 1808) with <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 6.3 <inline-formula><mml:math id="M87" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰. The GSL <italic>Artemia</italic> group was procured from Aquatic Foods California Blackworm Co. (Great Salt Lake), whereas all other <italic>Artemia</italic> groups were obtained from the Artemia Reference Center (Ghent, Belgium). The <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the diet for each treatment was calculated as the mean value measured from each group of unhatched cysts and hatched nauplii (Tables S2 and S3).</p>
      <?pagebreak page1075?><p id="d1e1251">Fresh batches of nauplii were hatched from <italic>Artemia </italic>cysts at approximately monthly intervals, filtered into a concentrated suspension, stored frozen at <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> °C, and thawed immediately before feeding to the corals. Due to low hatch rates of the <italic>Artemia</italic> group 1808, corals in that treatment group were fed nauplii harvested from decapsulated <italic>Artemia</italic> cysts from day 151 (19 November 2019) to 245 (22 February 2020). The <inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the hatched nauplii ranged from 6.3 <inline-formula><mml:math id="M91" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 to 17.0 <inline-formula><mml:math id="M92" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰ (measured by elemental analyzer–isotope ratio mass spectrometry; Table S2). The <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the nauplii did not change significantly over prolonged storage of several months in the freezer (ANOVA test, <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mi>F</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M95" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M96" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.80; Fig. S5). <italic>Artemia</italic> nauplii had statistically indistinguishable molar <inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratios among regional groups, averaging 6.0 <inline-formula><mml:math id="M98" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 (ANOVA test, <inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:mi>F</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.31</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M100" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M101" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.82; Table S3). These results show that there was limited variability in the diet of corals due to freezer storage and hatching of multiple individual batches of <italic>Artemia</italic> (Tables S2, S3; Fig. S5).</p>
      <p id="d1e1401">Corals were fed their respective nauplii diets by transferring coral individuals from their incubation bottle to a small dish filled with artificial seawater with minimal exposure to air so as not to stress the corals. Each coral was fed 20 <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L of thawed nauplii suspension by pipetting the food directly into their oral cavity, making it possible to visually ensure complete consumption and, thus, minimize variability in feeding rates. Each coral was returned to its bottle with a fresh allotment of seawater when its mouth had remained closed for several minutes, signifying that it was finished eating (Fig. 2).</p>
      <p id="d1e1412">After a shift in the <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the diet, it is expected that coral tissue <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N will evolve as a function of time until the composition of tissue reaches an equilibrium in line with the new diet. In order to assess the rate (referred to here as the isotopic turnover time) at which this evolution occurs, individual corals were sacrificed at discrete intervals throughout the experiment. Corals were always sacrificed 3 d after feeding to ensure that no food remained in the oral cavity. The corals were removed from their bottles and rinsed with artificial seawater. The coral tissue was then separated from the skeleton using a fine stream of compressed air. The tissue and skeleton were frozen at <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> °C and stored separately until processed for isotope ratio analyses.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1450">Photo illustration of a coral feeding sequence. Photo 1 shows coral before food is given. Photo 2 shows food being pipetted onto the coral mouth. Photos 3 through 6 show the coral feeding as the mouth opens to engulf food and closes when finished (about 15 min in total). Corals are <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> cm in diameter.</p></caption>
            <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://bg.copernicus.org/articles/21/1071/2024/bg-21-1071-2024-f02.jpg"/>

          </fig>

</sec>
<sec id="Ch1.S2.SS3.SSS2">
  <label>2.3.2</label><title>Experiment to evaluate the effects of starvation conditions</title>
      <p id="d1e1477">An additional 522 d feeding experiment was performed to assess the influence of starvation on the <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the coral soft tissue. Live corals collected during a sampling campaign at the end of November 2020 and shipped live to St. Olaf College were randomly assigned to two treatment groups (starved and not starved). Corals in the starved treatment were fed at 25 % of our normal feeding frequency, or every 2 weeks, whereas those in the not-starved treatment were fed twice a week. These feeding regimes were chosen based on the work of Crook et al. (2013) and Beauchamp et al. (1989), who assumed feeding every 3 d to represent plentiful food supply and feeding every 21 d (close to our starvation condition) to represent minimal maintenance food supply. Both groups were fed <italic>Artemia</italic> nauplii with a <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 9.9 <inline-formula><mml:math id="M109" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰, approximately 3 ‰ lower than the coral tissue of average <italic>B. elegans </italic>collected from Friday Harbor, and thus presumably closest in <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N to what the corals are eating in the wild given a canonical trophic isotope effect. Coral incubations and feedings were conducted as described above. Individuals were sacrificed over the course of the 522 d experiment, and tissue samples were frozen at <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> °C until isotope analysis.</p>
</sec>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Coral preparation for isotope ratio analyses</title>
      <p id="d1e1546">Frozen coral tissue samples (and hatched nauplii) were freeze-dried using a Labconco FreeZone 4.5 and then powdered using a mortar and pestle. The samples were sent to the University of Connecticut, Avery Point (Groton, CT, USA) for isotope ratio analyses.</p>
      <p id="d1e1549">Coral skeletons from specimens collected at Friday Harbor were separated from the coral soft tissue and were rinsed and individually ultrasonicated two times in Milli-Q™ (MQ) water for 20 min each in order to remove any residual seawater. Samples were then individually ultrasonicated in a 1 % sodium hypochlorite (bleach) solution for at least two 20 min intervals with fresh bleach for each new ultrasonication interval until no tissue remained on the skeleton, as assessed visually under a dissection microscope. Following this, individual skeletons were rinsed and ultrasonicated for 20 min in MQ another three times (each time with a new batch of MQ water) in order to remove any bleach residue. Skeleton samples were sent to Pomona College (California, USA) for further processing.</p>
      <p id="d1e1552">It is necessary to isolate organic matter from the coral carbonate matrix in advance of the N isotope measurement methods used here (see Sect. 2.6 below). Organic material in the skeleton matrix was isolated and oxidized to nitrate following the protocol of Wang et al. (2014). Briefly, bulk samples weighing 50–100 mg were ground into coarse powder, and a fraction between 63 and 200 <inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m was collected by sieving through two metal sieves. The 10–15 mg of sieved powder was rinsed sequentially with sodium polyphosphate and sodiumbicarbonate-buffered dithionite–citrate reagent and then treated with 13.5 % sodium hypochlorite overnight on a shaker. Skeletal material was dissolved in 4 N ultrapure hydrochloric acid and then oxidized to nitrate by autoclaving in basic potassium persulfate solution. Standards of glutamine reference material USGS-40 and USGS-41 (<inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.52</mml:mn></mml:mrow></mml:math></inline-formula> ‰  vs. air and 47.57 ‰ vs. air, respectively) were oxidized in tandem and used to correct for processing blanks. The resulting nitrate samples were sent to the University of Connecticut for nitrate isotope ratio analysis. The long-term averaged reagent blank was 0.4–0.6 <inline-formula><mml:math id="M115" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol L<inline-formula><mml:math id="M116" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, while the typical samples were 10–15 <inline-formula><mml:math id="M117" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol L<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (typical amount of nitrogen in skeleton being 2–5 <inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol g<inline-formula><mml:math id="M120" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> of aragonite). Samples were typically run in duplicate with an average reproducibility of <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mo>±</mml:mo></mml:mrow></mml:math></inline-formula> 0.5 ‰. An internal laboratory standard of ground material of the cold-water colonial scleractinian coral <italic>Lophelia pertusa</italic> had a long-term <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N value of 9.4 <inline-formula><mml:math id="M123" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8 ‰ (<inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">57</mml:mn></mml:mrow></mml:math></inline-formula>).</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page1076?><sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Hydrographic data</title>
      <p id="d1e1699">To infer the natural food source of the <italic>B. elegans</italic>, we collected samples for analysis of the <inline-formula><mml:math id="M125" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the particulate and dissolved N pools in relation to ambient hydrographic variables (temperature and salinity) near Friday Harbor, WA. Seasonal sampling campaigns were conducted in September and November 2020 and in April, June, and August 2021 (Table S1). In all but the August 2021 campaign, particulate and dissolved N samples were collected by divers at unspecified depths between the surface and the depth of coral collection. Samples were stored frozen in 30 mL high-density polyethylene  (HDPE) bottles. Surface net tows were performed with a mesh size of 120 <inline-formula><mml:math id="M126" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m; materials were stored and shipped frozen and thawed at a later time to be filtered onto pre-combusted GF/F filters (0.7 <inline-formula><mml:math id="M127" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m nominal pore size) that were stored frozen pending isotope analysis. No hydrographic variables were recorded during the campaigns except in August 2021.</p>
      <p id="d1e1732">During the August 2021 campaign, depth profiles of temperature and salinity from the surface to 35 m were characterized with a CastAway® -CTD (conductivity–temperature–depth) profiler. Water samples were collected at 5 m intervals between 5 and 30 m using a Van Dorn water sampler. Water was filtered onto pre-combusted glass-fiber filters (GF/F; 0.7 <inline-formula><mml:math id="M128" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m nominal pore size) into pre-cleaned 30 mL HDPE bottles and stored frozen pending analyses of nitrate concentrations and nitrate isotope ratios. The corresponding filters were stored frozen for isotope ratio analysis of suspended particulate organic material (SPOM). Surface (5 m) and deeper (25 m to the surface) net tows were conducted using plankton nets with respective mesh sizes of 150 and 80 <inline-formula><mml:math id="M129" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. Net tow material was filtered directly onto pre-combusted GF/F filters and frozen pending analysis. A portion of the net tow material from the August 2021 campaign was sieved to separate size classes of 80–100 <inline-formula><mml:math id="M130" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m, 100–250, <inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">250</mml:mn></mml:mrow></mml:math></inline-formula>, 250–500, and <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M133" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m. Material from the respective size classes was filtered onto pre-combusted GF/F filters and frozen until isotope analysis.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Nitrate concentrations and isotope ratio analyses</title>
      <p id="d1e1797">Nitrate concentrations of oxidized coral skeletons and aqueous samples were measured by reduction to nitric oxide in hot vanadium(III) solution followed by chemiluminescence detection of nitric oxide (Braman and Hendrix, 1989) on a Teledyne chemiluminescence NO<inline-formula><mml:math id="M134" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula> analyzer Model T200 (Thousand Oaks, CA).</p>
      <p id="d1e1809">The <inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of lyophilized coral tissue samples were analyzed at the University of Connecticut on a Costech elemental analyzer–isotope ratio mass spectrometer (DELTA V) and are expressed in standard delta notation (e.g., for N, <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N (‰ vs. air) <inline-formula><mml:math id="M138" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> [[(<inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N <inline-formula><mml:math id="M140" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M141" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>sample</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M143" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> (<inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N <inline-formula><mml:math id="M145" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N<inline-formula><mml:math id="M147" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>air</mml:mtext></mml:msub><mml:mo>)</mml:mo><mml:mo>]</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>]</mml:mo><mml:mo>⋅</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula>). Approximately 0.75 mg of lyophilized sample (35 <inline-formula><mml:math id="M148" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g N) was allotted into tin cups and analyzed in tandem with recognized glutamine reference materials USGS-40 and USGS-41 with respective <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N (vs. air) of <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">4.52</mml:mn></mml:mrow></mml:math></inline-formula> ‰  and 47.57 ‰ and <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of <inline-formula><mml:math id="M152" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">26.39</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and 37.63 ‰  (vs. Pee Dee Belemnite). Replicate analyses of (<inline-formula><mml:math id="M153" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) reference materials yielded an analytical precision (<inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> SD) of 0.3 ‰ for both <inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and <inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C.</p>
      <p id="d1e2042">Nitrate N (and O) isotope ratios of aqueous seawater samples and N isotope ratios of the skeleton matrix samples were analyzed at the University of Connecticut using the denitrifier method (Casciotti et al., 2002; McIlvin and Casciotti, 2011; Sigman et al., 2001). Nitrate sample solutions were injected at target concentrations of 20 nmol for seawater samples and 7 nmol for skeleton matrix samples. N<inline-formula><mml:math id="M157" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O was extracted, concentrated, and purified using a custom-modified Thermo GasBench II equipped with a GC PAL autosampler and dual cold traps and was then analyzed on a Thermo DELTA V Advantage continuous-flow isotope ratio mass spectrometer (Casciotti et al., 2002; McIlvin and Casciotti, 2011). Individual analyses were referenced to injections of N<inline-formula><mml:math id="M158" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O from a pure gas cylinder and standardized through comparison with potassium nitrate reference material – International Atomic Energy Agency nitrate (IAEA-N3) – and isotopic nitrate reference material – United States Geological Survey 34 (USGS-34) – with respective <inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 4.7 ‰ and <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.8</mml:mn></mml:mrow></mml:math></inline-formula> ‰ (vs. air; International Atomic Energy Agency, 1995) and respective <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O of 25.61 ‰ and <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">27.9</mml:mn></mml:mrow></mml:math></inline-formula> ‰  (vs. Vienna Standard Mean Ocean Water, VSMOW; Gonfiantini, 1995; Böhlke et al., 2003). To account for bacterial<?pagebreak page1077?> blanks and source linearity, nitrate concentrations of the standard material – diluted in N-free seawater for aqueous seawater samples and air-equilibrated MQ water for skeleton matrix samples – were matched to those of samples within batch analyses, and additional bacterial blanks were also measured (Weigand et al., 2016; Zhou et al., 2022). Replicate measurements (<inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>) of all samples yielded an average analytical precision (<inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> SD) of 0.3 ‰ for both <inline-formula><mml:math id="M165" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O.</p>
</sec>
<sec id="Ch1.S2.SS7">
  <label>2.7</label><title>N turnover model</title>
      <p id="d1e2158">We estimate values of the trophic <inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N offset for <italic>B. elegans</italic>, <inline-formula><mml:math id="M168" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula>, and the rate of isotopic turnover by fitting the data from our trophic isotope experiment to a nonlinear least-squares regression model corresponding to the isotope mixing relationship shown in Eq. (1) below. Equation (1) treats the coral tissue as a single reservoir of N with some initial isotope composition that is evolving to reflect the new diet as a function of time (after Cerling et al., 2007; Ayliffe et al., 2004):</p>
      <p id="d1e2182"><disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M169" display="block"><mml:mrow><?xmltex \hack{\hbox\bgroup\fontsize{9.5}{9.5}\selectfont$\displaystyle}?><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:mtext>N</mml:mtext><mml:mfenced close=")" open="("><mml:mi>t</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:mfenced open="[" close="]"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:msub><mml:mtext>N</mml:mtext><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:msub><mml:mtext>N</mml:mtext><mml:mtext>diet</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ϵ</mml:mi></mml:mrow></mml:mfenced><mml:mo>⋅</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup><mml:msub><mml:mtext>N</mml:mtext><mml:mtext>diet</mml:mtext></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ϵ</mml:mi><mml:mo>.</mml:mo><?xmltex \hack{$\egroup}?></mml:mrow></mml:math></disp-formula></p>
      <p id="d1e2267">The term <inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math id="M171" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub></mml:math></inline-formula> is the value of the bulk coral tissue at the onset of the experiment, <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math id="M173" display="inline"><mml:msub><mml:mi/><mml:mtext>diet</mml:mtext></mml:msub></mml:math></inline-formula> is that of the corals' new <italic>Artemia</italic> diet (i.e., what it is fed during the experiment), <inline-formula><mml:math id="M174" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is the number of days since the start of the experiment, <inline-formula><mml:math id="M175" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula> is the difference between the <inline-formula><mml:math id="M176" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the diet and tissue at equilibrium (i.e., once the isotopic composition of inputs to the system equals the isotope composition of outputs), and <inline-formula><mml:math id="M177" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> describes the specific rate at which new N is incorporated into the coral tissue (per day). We use this model to calculate the <inline-formula><mml:math id="M178" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-folding time of the system, which is defined as <inline-formula><mml:math id="M179" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow></mml:math></inline-formula> (days) and represents the time at which <inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">63</mml:mn></mml:mrow></mml:math></inline-formula> % of the original N reservoir in coral tissue has been replaced with new N from the experimental coral diet.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Trophic isotope effect</title>
      <p id="d1e2397">At the onset of the culture experiment, the soft tissue among all experimental corals had a <inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 11.7 <inline-formula><mml:math id="M182" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5 ‰. Over the course of the experiment, the <inline-formula><mml:math id="M183" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the tissue increased or decreased in respective treatments depending on the <inline-formula><mml:math id="M184" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the associated <italic>Artemia</italic> diet (Fig. 3): the tissue <inline-formula><mml:math id="M185" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N increased in corals fed diets with <inline-formula><mml:math id="M186" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values of 17.0 ‰, 13.8 ‰, and 9.9 ‰, whereas the tissue <inline-formula><mml:math id="M187" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N decreased for the diet of 6.4 ‰. The <inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of soft tissue in all groups trended towards an asymptotic offset relative to the diet <inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N, as expected for an approach to a new equilibrium. However, at day 530, at the end of the experiment, it appeared as though the coral tissue <inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N had not yet reached a constant offset value, suggesting that the coral tissue had not yet reached an equilibrium with the new diet. Specifically, at the end of the experiment, the coral tissue of the treatment groups reached <inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values of 9.4 <inline-formula><mml:math id="M192" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰, 12.6 <inline-formula><mml:math id="M193" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.5 ‰, 15.9 <inline-formula><mml:math id="M194" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰, and 18.1 <inline-formula><mml:math id="M195" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ for groups fed the lowest to highest <italic>Artemia</italic> <inline-formula><mml:math id="M196" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values, respectively. The difference between coral soft tissue and diet <inline-formula><mml:math id="M197" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N ranged from a minimum of 1.0 <inline-formula><mml:math id="M198" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ to a maximum of 3.0 <inline-formula><mml:math id="M199" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰ across the different experimental groups at day 530 (Fig. 3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2592">Evolution of the coral soft tissue <inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N in response to diet <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N. Colors correspond to the respective <italic>Artemia</italic> strains. Dashed lines are the model output of our simultaneous nonlinear least-squares regression fits to the data using Eq. (1). Solid lines mark the diet <inline-formula><mml:math id="M202" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N <inline-formula><mml:math id="M203" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M204" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula>. The mean analytical error on tissue <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N analyses was <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://bg.copernicus.org/articles/21/1071/2024/bg-21-1071-2024-f03.png"/>

        </fig>

      <p id="d1e2673">Despite the fact that coral tissue had not yet reached an equilibrium with the new coral diet at the end of our experiment, we are able to estimate values of the trophic <inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N offset for <italic>B. elegans</italic>, <inline-formula><mml:math id="M208" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula>, and the rate of isotopic turnover by fitting the data from our trophic isotope experiment to the nonlinear least-squares regression model given Eq. (1) in Sect. 2.7. To more confidently calculate <inline-formula><mml:math id="M209" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M210" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> for each individual experimental group, we generate four equations (one for each experimental group of the form given in Eq. (1) but with different values of <inline-formula><mml:math id="M211" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math id="M212" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mtext>diet</mml:mtext></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and fit them simultaneously using least-squares regression. From this fit, we are able to obtain estimates for both <inline-formula><mml:math id="M213" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M214" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> in <italic>B. elegans</italic>.  An inherent assumption of this approach is that all experimental groups have the same <inline-formula><mml:math id="M215" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-folding time and the same trophic isotope effect. We note here that we refer to the <inline-formula><mml:math id="M216" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-folding time as the “turnover rate” of N in corals throughout the rest of this text (e.g., Tanaka et al., 2018). Our model fit yielded a trophic isotope effect, <inline-formula><mml:math id="M217" display="inline"><mml:mi mathvariant="italic">ϵ</mml:mi></mml:math></inline-formula>, of 3.0 ‰  with a standard error of 0.1 ‰ between coral tissue and diet. The turnover rate of N (i.e., <inline-formula><mml:math id="M218" display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-folding time, <inline-formula><mml:math id="M219" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was 291 d with a standard error of 15 d. The four individual model equations generated by our nonlinear least-squares regression are presented using dashed lines in Fig. 3.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2798">Evolution of the <inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of individual coral polyps fed <italic>Artemia</italic> nauplii (<inline-formula><mml:math id="M221" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 9.9 ‰) twice weekly (not starved) vs. every 2 weeks (starved). The analytical error associated with individual tissue <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N measurements was <inline-formula><mml:math id="M223" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.2 ‰.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://bg.copernicus.org/articles/21/1071/2024/bg-21-1071-2024-f04.png"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page1078?><sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Effect of starvation</title>
      <p id="d1e2860">At the onset of the starvation trial, the coral tissue had an average <inline-formula><mml:math id="M224" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 11.5 <inline-formula><mml:math id="M225" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰. At the end of the 522 d experiment, the starved group (N <inline-formula><mml:math id="M226" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 15 coral individuals) had an average <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 12.4 <inline-formula><mml:math id="M228" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰,  while the frequently fed group (N <inline-formula><mml:math id="M229" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 15) had a <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 12.7 <inline-formula><mml:math id="M231" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ (Fig. 4). The starved group was <inline-formula><mml:math id="M232" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M233" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰ compared with the <inline-formula><mml:math id="M234" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N level of its diet; this was statistically indistinguishable from that of the frequently fed group, which was <inline-formula><mml:math id="M235" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.8</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M236" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ compared with the level of its diet (<inline-formula><mml:math id="M237" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M238" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.059, pairwise <inline-formula><mml:math id="M239" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e3001"><bold>(a)</bold> Tissue and skeleton <inline-formula><mml:math id="M240" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N measurements from <italic>B. elegans</italic> individuals collected during different sampling campaigns. Errors on skeleton data are based on replicate analyses of samples from individual polyps. <bold>(b)</bold> Box plot of the difference between tissue and skeleton of individual <italic>B. elegans</italic> corals. The box plot shows the mean, the first and third quartiles, the maxima, and the minima. Individual data points are overlaid on the plot. Colors correspond to respective sampling campaigns.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://bg.copernicus.org/articles/21/1071/2024/bg-21-1071-2024-f05.png"/>

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</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><?xmltex \opttitle{$\delta^{{15}}$N comparison of field specimen
polyp tissue and skeleton}?><title><inline-formula><mml:math id="M241" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N comparison of field specimen polyp tissue and skeleton</title>
      <p id="d1e3051">The <inline-formula><mml:math id="M242" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the soft tissue from individual <italic>B. elegans</italic> specimens collected live near Friday Harbor ranged between 11.2 ‰ and 13.1 ‰, averaging 12.0 <inline-formula><mml:math id="M243" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 ‰ (Fig. 5a). The soft tissue <inline-formula><mml:math id="M244" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N differed among coral groups collected during different sampling campaigns, with higher values in spring (March 2019 and April 2021) compared with summer and fall (June 2019, September, and November 2020; ANOVA test, <inline-formula><mml:math id="M245" display="inline"><mml:mrow><mml:mi>F</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">4</mml:mn><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">40.39</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M246" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M247" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula>; post hoc pairwise <inline-formula><mml:math id="M248" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test; <inline-formula><mml:math id="M249" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M250" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05). The average <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of corresponding skeletal tissue was 13.5 <inline-formula><mml:math id="M252" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.7 ‰ and did not differ discernibly among sampling campaigns (ANOVA test, <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:mi>F</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.916</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M254" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M255" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.431). The average difference between skeleton and soft tissue <inline-formula><mml:math id="M256" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N (<inline-formula><mml:math id="M257" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N) among coral individuals for which both soft tissue and skeleton was measured was 1.2 <inline-formula><mml:math id="M258" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6 ‰  (Fig. 5b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e3228">Depth profiles during the August 2021 sampling campaign of <bold>(a)</bold> salinity, <bold>(b)</bold> temperature, <bold>(c)</bold> nitrate concentration, <bold>(d)</bold> the <inline-formula><mml:math id="M259" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of nitrate for analytical replicates and <bold>(e)</bold> the <inline-formula><mml:math id="M260" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of SPOM of replicate samples (<inline-formula><mml:math id="M261" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula>). Green and red symbols correspond to flood tide (collected between 11:00 and 14:00 LT, local time, on 2 August 2021), whereas blue symbols correspond to ebb tide (collected at 09:00 LT on 3 August 2021).</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://bg.copernicus.org/articles/21/1071/2024/bg-21-1071-2024-f06.png"/>

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</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Regional hydrography and N isotope ratios of nitrate and plankton material</title>
      <p id="d1e3297">Hydrographic profiles recorded at stations near Friday Harbor in August 2021 showed characteristic density structures that were sensitive to tidal phase (Fig. 6a, b; Banas et al., 1999). Profiles collected during flood tide (collected between 11:40 and 14:20 LT on 2 August 2021) were relatively well mixed (salinity 30, temperature 11.8 °C), with fresher and warmer water restricted to the near surface (<inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> m), whereas ebb-tide profiles (collected at 09:00 LT on 2 August 2023) showed a progressive decrease in salinity from 30 to 27 and a corresponding increase in temperature from 11.8 °C at 35 m to 14.5 °C at the surface.</p>
      <?pagebreak page1079?><p id="d1e3310">Nitrate concentrations were nearly uniform with depth during flood tide (<inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M264" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol L<inline-formula><mml:math id="M265" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, decreasing slightly at 5 m, whereas nitrate concentrations decreased progressively during ebb tide from 20 to 10 <inline-formula><mml:math id="M266" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol L<inline-formula><mml:math id="M267" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> between 30 and 10 m (Fig. 6c). Nitrate concentrations in samples collected during the other sampling campaigns ranged from 12 to 32 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol L<inline-formula><mml:math id="M269" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> and appeared to be generally higher at stations visited during the September and November 2020 campaigns compared with those visited in April and August 2021 (Fig. S6).</p>
      <p id="d1e3387">Depth profiles collected in August 2021 revealed uniform nitrate <inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values of <inline-formula><mml:math id="M271" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> ‰  at 30 m among profiles. In well-mixed profiles, nitrate <inline-formula><mml:math id="M272" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N increased slightly to 7.5 ‰  above 10 m. In stratified profile, nitrate <inline-formula><mml:math id="M273" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N increased progressively to 8.2 ‰ at 10 m (Fig. 6d). Among all sampling campaigns, the <inline-formula><mml:math id="M274" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of nitrate ranged from 6.1 ‰  to 8.2 ‰, with median values of 6.8 <inline-formula><mml:math id="M275" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰ (Fig. 7a). The relationship between nitrate <inline-formula><mml:math id="M276" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and nitrate concentration in August 2021 was fit to a closed-system Rayleigh distillation model (Mariotti et al., 1981), suggesting a nitrate assimilation isotope effect of 1.5 <inline-formula><mml:math id="M277" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ (Fig. 8).</p>
      <p id="d1e3470">The <inline-formula><mml:math id="M278" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of SPOM collected at depths above 35 m near Friday Harbor during the different sampling campaigns ranged from 1.6 ‰ to 11.7 ‰, averaging 5.7 <inline-formula><mml:math id="M279" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.7 ‰ (Fig. 7b). Values were lowest for the four samples collected in April (4.4 <inline-formula><mml:math id="M280" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.4 ‰) and highest for the four samples collected in September and November (6.2 <inline-formula><mml:math id="M281" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.6 ‰), although these trends may be an artifact of the low data density in April (<inline-formula><mml:math id="M282" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M283" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4) and in September and November (<inline-formula><mml:math id="M284" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>) relative to August 2021 (<inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">29</mml:mn></mml:mrow></mml:math></inline-formula>), at which time the observed range of <inline-formula><mml:math id="M286" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N subsumed that in the other two campaigns. Values did not differ coherently with depth in August 2021, although any potential depth structure was obscured by the large variability among sample replicates (Fig. 6e).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e3558">Box plots of aqueous and particulate N pools at respective sampling times. <bold>(a)</bold> The <inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of nitrate from samples above 30 m collected during respective sampling campaigns. <bold>(b)</bold> The <inline-formula><mml:math id="M288" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of suspended particulate organic matter (SPOM) at sites near Friday Harbor during respective sampling campaigns. <bold>(c)</bold> The <inline-formula><mml:math id="M289" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of net tows (<inline-formula><mml:math id="M290" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">120</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m mesh size) conducted during respective sampling campaigns.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/21/1071/2024/bg-21-1071-2024-f07.png"/>

        </fig>

      <p id="d1e3628">The <inline-formula><mml:math id="M292" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of material collected in net tows (120 <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m mesh size) during sampling campaigns in September 2020 and June 2021 ranged between 7.9 ‰  and 8.8 ‰  (Fig. 7c). Material collected in net tows of 80 and 150 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m mesh size in August 2021 and separated by size class post-collection revealed a coherent <inline-formula><mml:math id="M295" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N increase with size class (Figs. 7c, 9). The <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">80</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m size class had a mean <inline-formula><mml:math id="M298" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 6.0 <inline-formula><mml:math id="M299" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.3 ‰, whereas the <inline-formula><mml:math id="M300" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m size class had an average <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 8.0 <inline-formula><mml:math id="M303" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8 ‰, which was significantly greater than the <inline-formula><mml:math id="M304" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the other size classes (ANOVA test, <inline-formula><mml:math id="M305" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value <inline-formula><mml:math id="M306" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.05).</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d1e3777">This study of <italic>B. elegans</italic> provides novel constraints on the trophic ecology of scleractinian CWCs. Foremost, our observations of <italic>B. elegans</italic> collectively suggest that the relatively large global <inline-formula><mml:math id="M307" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N offset of 8 ‰–9 ‰ between CWC skeletal tissue and the <inline-formula><mml:math id="M308" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of PON exported from the surface ocean is neither explained by a large difference between tissue and skeleton <inline-formula><mml:math id="M309" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N nor by an unusually large trophic isotope effect. Further, controlled feeding experiments yielded direct estimates of the trophic isotope effect and the corresponding N turnover rate of <italic>B. elegans</italic> soft tissue. Examination of the soft tissue <inline-formula><mml:math id="M310" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of wild specimens in relation to regional hydrography and food web components near Friday Harbor leads us to conclude that <italic>B. elegans</italic> feeds predominantly metazoan zooplankton prey, implicating more than one trophic transfer between exported PON and coral soft tissue. We contextualize our findings to existing studies of CWC trophic ecology and discuss the implications of considering a two-level trophic transfer for paleo-reconstructions of ocean N cycling using <italic>B. elegans</italic> and CWCs more generally.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e3842">Rayleigh plot of nitrate <inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N vs. the natural logarithm (ln) of nitrate concentration for samples collected from the surface to 40 m around Friday Harbor. The isotope effect of <inline-formula><mml:math id="M312" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M313" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰ corresponds to the slope of the best-fit linear regression line for the August 2021 data, <inline-formula><mml:math id="M314" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N<inline-formula><mml:math id="M315" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">NO</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">11.7</mml:mn></mml:mrow></mml:math></inline-formula>–1.5 ln [NO<inline-formula><mml:math id="M316" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>].</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/21/1071/2024/bg-21-1071-2024-f08.png"/>

      </fig>

<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Culture experiments revealed a normal trophic isotope effect</title>
      <p id="d1e3928">We investigated whether the large difference in <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N between PON export from the surface and coral-skeleton-bound <inline-formula><mml:math id="M318" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N (8 ‰–9 ‰) observed by Wang et al. (2014) could arise from an unusually large-trophic-level offset specific to CWCs. The long-term feeding experiment of <italic>B. elegans</italic> polyps revealed a “normal” trophic isotopic offset between coral tissue and diet of <inline-formula><mml:math id="M319" display="inline"><mml:mrow><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>=</mml:mo><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.0</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M320" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.1 ‰. This value conforms to the expected range of <inline-formula><mml:math id="M321" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M322" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.1 ‰  for a single trophic-level offset for <inline-formula><mml:math id="M323" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N (Minagawa and Wada, 1984).</p>
      <?pagebreak page1080?><p id="d1e4006">To support the above conclusion, we assess the assumptions inherent to the isotope mixing model (Eq. 1) used to derive <inline-formula><mml:math id="M324" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> and the corresponding nitrogen turnover rate from our culture data. First, the model only accounts for the turnover of a single pool of N, requiring the assumption that all N in the coral polyp tissues equilibrates at the same rate. This notion is unlikely to be wholly accurate, as fluxes of N may vary among tissue types. However, given the relatively low resolution of our sampling over the course of the culture experiments (necessary due to constraints on numbers of total samples), we are unable to extend our model to one with multiple pools (e.g., as in Ayliffe et al., 2004). As soft tissues of individual coral polyps were homogenized, we suggest that the <inline-formula><mml:math id="M325" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values and corresponding estimate of <inline-formula><mml:math id="M326" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> thus represent the average of soft tissues with potentially different turnover rates. The estimates of <inline-formula><mml:math id="M327" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> and the N turnover rate further rely on the assumption that the nutritional quality of the respective diets among treatments was equivalent, as trophic isotope effects can be sensitive to food type. Diets low in protein can be associated with greater <inline-formula><mml:math id="M328" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> values due to internal recycling of nitrogen (Adams and Sterner, 2000; Webb et al., 1998). For instance, locusts fed a low-protein diet were enriched 5.1 ‰  from their diet, compared with 2.3 ‰ for those fed a high-protein diet (Webb et al., 1998). Conversely, a compilation of studies of various metazoan consumers raised on controlled diets suggests that high-protein diets generally result in higher trophic isotope effects (<inline-formula><mml:math id="M329" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3.3</mml:mn></mml:mrow></mml:math></inline-formula> ‰) compared with more herbivorous diets (<inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰) – a dynamic ascribed to higher rates of N excretion to assimilation in consumers fed high-protein diets (McCutchan Jr et al., 2003). As noted in Table S3 and in Sect. 2.3.1, our <italic>Artemia</italic> prey had similar <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratios among treatments, in line with our model treatment. Finally, our model assumes that N turnover was dominated by metabolic tissue replacement, rather than net growth, consistent with the observation that adult <italic>B. elegans</italic> individuals display slow growth (Gerrodette, 1979).</p>
      <?pagebreak page1081?><p id="d1e4087">Equation (1) could be invalidated if the corals can access nutritional N sources other than N in <italic>Artemia</italic>, given that the model assumes that <italic>Artemia</italic> individuals constitute the only source of N to corals in our experiment. Biological N<inline-formula><mml:math id="M332" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fixation and chemoautotrophy have been detected in association with CWC holobionts, providing some N nutrition to the corals (Middelburg et al., 2016). Our trophic isotope effect estimate was in the range expected for a single trophic transfer, arguably suggesting that N<inline-formula><mml:math id="M333" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fixation, if occurring, was not a substantial contribution to the corals' nutrition; it would otherwise result in a lower value of <inline-formula><mml:math id="M334" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula> given a <inline-formula><mml:math id="M335" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N contribution of <inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> ‰ to 0 ‰  (Carpenter et al., 1997). That the trophic isotope effect of the poorly fed corals did not differ from that of corals that were fed well also argues for no sources of N other than <italic>Artemia</italic>, as starved corals would presumably increase their reliance on said source. In a related vein, N recycling between the <italic>B. elegans</italic> specimens and potential microbial symbionts (e.g., Middelburg et al., 2016) could also dampen the trophic isotope effect relative to the <italic>Artemia</italic> prey and yield an overestimate of the soft tissue turnover rate for N. The normal trophic isotope effect indicated here suggests a modest role of N retention and recycling by microbial symbionts, in contrast to tropical symbiotic corals wherein bacterial symbionts promote substantial N retention and recycling, and, consequently, lower trophic isotope effects (Tanaka et al., 2018). Finally, the validity of our estimates could be sensitive to differences in feeding rates, which can influence the rate of N turnover of tissues (Martínez del Rio and Carleton, 2012; Rangel et al., 2019). Corals were fed at identical times among treatments, at a relatively high feeding rate (Crook et al., 2013). However, given the limited number of studies on feeding in <italic>B. elegans</italic>, it is difficult to compare our feeding strategy and that of this species' natural environment. Overall, we consider that the mixing model described by Eq. (1) is appropriate to derive the first-order trophic isotope effect and turnover rate of <italic>B. elegans</italic>.</p>
      <p id="d1e4159">Changes in metabolism due to underfeeding or prolonged fasting have the potential to increase trophic-level isotope offsets due to increased protein metabolism (Adams and Sterner, 2000). For instance, extensive amino acid recycling in overwintered adult insect larvae was cited to explain trophic isotope effects upward of 10 ‰ (Scrimgeour et al., 1995). A meta-analysis on the effects of starvation on consumer <inline-formula><mml:math id="M337" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N revealed that starvation generally led to increased organism <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N by an average of 0.5 ‰, up to 4.3 ‰ (Doi et al., 2017). This dynamic was documented for the tropical symbiotic coral <italic>Stylophora pistillata</italic>, where heterotrophically starved corals were enriched in <inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N by <inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ compared with frequently fed corals (Reynaud et al., 2009). The trophic isotope offset of <italic>B. elegans</italic> soft tissue relative to its diet, <inline-formula><mml:math id="M341" display="inline"><mml:mi mathvariant="italic">ε</mml:mi></mml:math></inline-formula>, was not discernibly influenced by near starvation; that of corals fed once every other week was similar to that of corals fed twice a week – in spite of visible signs of stress among the former, including relatively more sluggish feeding (Fig. S7) and thinner soft tissue (data not shown). Deep-sea coral reefs are often highly productive environments with high levels of biodiversity, commensurate with a relatively high food supply (Duineveld et al., 2007, 2004; Genin et al., 1986; Roberts et al., 2006; Soetaert et al., 2016; Thiem et al., 2006; Cathalot et al., 2015). Nevertheless, periodicity and spatial heterogeneity in the food supply of CWC reefs implicate periods of lower food density (e.g., Duineveld et al., 2007). High currents, downwelling, and/or vertically migrating zooplankton temporally boost the export of surface organic matter to the seabed, creating “feast” conditions, interspersed with “famine” periods during the nonproductive season (Maier et al., 2023). Regardless, our trials suggest that starvation, if pertinent to CWC communities, does not result in greater-than-expected trophic isotope offsets, at least for <italic>B. elegans</italic>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e4225">Box plots of net tow material collected above 30 m in August 2021, separated by size class.</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://bg.copernicus.org/articles/21/1071/2024/bg-21-1071-2024-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><?xmltex \opttitle{Turnover rate for \textit{B. elegans}}?><title>Turnover rate for <italic>B. elegans</italic></title>
      <?pagebreak page1082?><p id="d1e4246">We report the first estimate of the nitrogen turnover for a nonsymbiotic cold-water coral: 291 <inline-formula><mml:math id="M342" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15 d for <italic>B. elegans</italic> soft tissue. This value falls within the range of existing estimates for tropical symbiotic corals. Pulse–chase experiments with <inline-formula><mml:math id="M343" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N-nitrate conducted with fragments of the tropical symbiotic coral <italic>Porites cylindrica</italic> yielded an N turnover time of 370 d, whereas this value was 210 d for the tropical symbiotic coral <italic>Acropora pulchra</italic> (Tanaka et al., 2006, 2018). These relatively long turnover times are attributed to the recycling and retention of N within the coral–symbiont system in nutrient-deplete ecosystems. In comparison, the corresponding carbon turnover in <italic>A. pulchra</italic> was 18 d – compared with 210 d for N – because the system is ultimately N limited (Tanaka et al., 2006). Tanaka et al. (2018) inferred that the N turnover in <italic>P. cylindrica</italic> would be substantially faster than 370 d without symbionts, on the order of 56 d based on estimates of polyp-specific N uptake rates. Nevertheless, the N turnover estimated for the tropical symbiotic coral <italic>Porites lutea</italic> was notably shorter than that of <italic>A. pulchra</italic> and <italic>P. cylindrica</italic>, on the order of 87 d (Rangel et al., 2019), implicating different N nutritional strategies among symbiotic coral groups and/or ecosystems. The N turnover for <italic>B. elegans</italic> estimated here is of the same order as, although still longer than, that for tropical symbiotic corals, suggesting that cold-water species have lower metabolic and growth rates compared with tropical symbiotic species, although efficient N recycling has also been documented previously in CWCs (Middelburg et al., 2016). The slower turnover of CWCs relative to their symbiotic tropical counterparts may reflect the lower temperatures of the former's habitats (Miller, 1995; Thomas and Crowther, 2015).</p>
      <p id="d1e4293">Constraints on N turnover also allow for calibration of the temporal resolution that is achievable with the CWCs' <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N proxy for marine N cycling. Corals are constantly accreting skeleton, such that coral proxies have the potential to provide annual-resolution information (e.g., Adkins et al., 2004). In theory, a rapid N turnover in CWCs could record seasonal changes in regional N dynamics. A turnover time of 291 <inline-formula><mml:math id="M345" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 15 d for N in <italic>B. elegans</italic> soft tissue, however, signifies that the <inline-formula><mml:math id="M346" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of coral skeleton is unlikely to provide a faithful record of seasonal differences in the <inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the coral diet. Moreover, the turnover of the pool of N that sources the skeletal tissue may be different from that of bulk tissue, and thus decoupled from the soft tissue turnover rate. We suggest that CWCs can likely record changes in their diet on annual or longer timescales, compatible with the ability to date CWCs with subdecadal resolution (Adkins et al., 2004).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><?xmltex \opttitle{Soft tissue vs. skeleton $\delta^{{15}}$N}?><title>Soft tissue vs. skeleton <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N</title>
      <p id="d1e4359">A large biosynthetic <inline-formula><mml:math id="M349" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N offset between the coral soft tissue and its skeleton could conceivably account for a large <inline-formula><mml:math id="M350" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N offset between coral-skeleton-bound organic matter and N of export that is not explained by single trophic-level enrichment of <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> ‰. However, the mean difference between soft tissue and skeleton-bound <inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N among <italic>B. elegans</italic> specimens collected at Friday Harbor was relatively modest, on the order of <inline-formula><mml:math id="M353" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>1.2 ‰, ranging between <inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ and <inline-formula><mml:math id="M355" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">2.2</mml:mn></mml:mrow></mml:math></inline-formula> ‰. The observed range was dictated primarily by the variability in the <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the coral soft tissue, as skeleton-associated <inline-formula><mml:math id="M357" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values were relatively invariant among specimens sampled from different locations and field seasons – likely due to the fact that the amount of skeleton analyzed represented multiple years of growth. The amount of skeleton-bound organic N is small relative to aragonite mass (2–5 <inline-formula><mml:math id="M358" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>mol N g<inline-formula><mml:math id="M359" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> of skeleton in our samples), such that homogenization of 50–100 mg aragonite fragments may alias seasonally driven variability in skeletal <inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N. Soft tissue values in spring were <inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰ higher than in summer and fall, such that they appeared to record seasonal changes in diet (Fig. 5a). In this regard, the asymptotic nature of the two-end-member isotope mixing model (Eq. 1) renders <italic>B. elegans</italic>'s soft tissue sensitive to seasonal changes in prey <inline-formula><mml:math id="M362" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N but not likely to reach isotopic equilibrium on seasonal timescales – given an N turnover of <inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">291</mml:mn></mml:mrow></mml:math></inline-formula> d, as discussed above. Seasonal variations in the <inline-formula><mml:math id="M364" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the food source of <italic>B. elegans</italic> near Friday Harbor could arise from corresponding differences in the <inline-formula><mml:math id="M365" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of nitrate entrained to the surface driven by seasonal hydrographic variability around San Juan archipelago, in the extent of surface nitrate consumption, in food web structure, or from some combination of these. The data density among all but the August 2021 sampling campaign is too sparse to be conclusive in this regard. Otherwise, the observed differences in soft tissue <inline-formula><mml:math id="M366" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N may result from spatial heterogeneity in the <inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the food source among the different collection sites visited for respective campaigns at Friday Harbor.</p>
      <p id="d1e4572">As documented here for <italic>B. elegans</italic>, the <inline-formula><mml:math id="M368" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N difference between coral tissue and skeleton appears to be modest among various scleractinian coral species. Specimens of the symbiotic tropical coral <italic>Porites lutea</italic> showed a <inline-formula><mml:math id="M369" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N offset of <inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰  between skeleton and soft tissue, whereas the symbiotic tropical coral <italic>Favia stelligera</italic> revealed an insignificant offset of <inline-formula><mml:math id="M371" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> ‰  (Erler et al., 2015). Similarly, no offset was observed for proteinaceous CWCs of the genus <italic>Lepidisis</italic> collected off Tasmania (Sherwood et al., 2009), whereas an offset of <inline-formula><mml:math id="M372" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1.9</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M373" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8 ‰ was reported for cold-water proteinaceous corals of the genus <italic>Primnoa</italic> from the Gulf of Alaska, <italic>Isadella</italic> from the central California margin, and <italic>Kulamanamana</italic> from the North Pacific Subtropical Gyre (McMahon et al., 2018). Conversely, a study of numerous species of both symbiotic and nonsymbiotic corals reported a <inline-formula><mml:math id="M374" display="inline"><mml:mrow><mml:mo>+</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> ‰ offset between the skeletal organic matrix and soft tissue among the nonsymbiotic corals specifically but no difference among the symbiotic corals (Muscatine et al., 2005), suggesting that biosynthetic offsets may occur for certain CWC species or conditions.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Implications for components of CWC diet</title>
      <p id="d1e4675">Cold-water corals are considered opportunistic feeders, ingesting whatever is available in the water column (Mortensen, 2001; Freiwald, 2002; Duineveld et al., 2004, 2007; Kiriakoulakis et al., 2005; Carlier et al., 2009; Dodds et al., 2009; van Oevelen et al., 2009). They have been reported to feed on zooplankton (Kiriakoulakis et al., 2005; Naumann et al., 2011), including microzooplankton (Houlbrèque et al., 2004); on phytoplankton and phytodetritus, including the bacterial fraction of phytodetritus (Maier et al., 2020; Houlbrèque et al., 2004); and on dissolved organic matter (Mueller et al., 2014; Ferrier, 1991; Al-Moghrabi et al., 1993; Hoegh-Guldberg and Williamson, 1999; Houlbrèque et al., 2004; Grover et al., 2008). Furthermore, the CWC holobiont has been observed to display biological N<inline-formula><mml:math id="M375" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> fixation and chemoautotrophy (Middelburg et al., 2016). While it is clear that corals may be able to consume a variety of components within the food web, the soft tissue <inline-formula><mml:math id="M376" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of <italic>B. elegans</italic> specimens collected at Friday Harbor averaged 12.0 ‰, signifying that they fed on material with a <inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of approximately 9.0 ‰  – accounting for a normal trophic offset relative to their diet (3 ‰), as confirmed by our culture experiment results. Here, we seek to determine the primary nutrition source for <italic>B. elegans</italic> at Friday Harbor by comparing the <inline-formula><mml:math id="M378" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of these corals' expected diet with the measured <inline-formula><mml:math id="M379" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of different food web components including SPOM and net tow material.</p>
      <p id="d1e4738">We first explore whether the SPOM fraction of the food web was the dominant component of <italic>B. elegans</italic>' diet at Friday Harbor. SPOM is operationally defined as the particulate material retained onto glass-fiber filters (GF/F, 0.7 <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m nominal pore size) from filtered aqueous samples. At the<?pagebreak page1083?> ocean surface, including at the stations near Friday Harbor, SPOM is generally dominated by phytoplankton material. At the ocean subsurface, below the euphotic zone, SPOM is derived from organic material exiting the ocean surface but is considered a distinct pool from the ballasted sinking PON collected in sediment traps. The <inline-formula><mml:math id="M381" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of SPOM typically increases with depth, with the steepest gradient across the 100–300 m depth interval, reaching upwards of <inline-formula><mml:math id="M382" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> ‰–5 ‰  in the ocean subsurface, which are higher values than the corresponding sinking particles at abyssal depths due to recycling and remineralization (Altabet, 1988; Casciotti et al., 2008; Saino and Hattori, 1987). Wang et al. (2014) reasoned that, because the <inline-formula><mml:math id="M383" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of SPOM is approximately one trophic level lower that of the N preserved in skeletons of the deep-dwelling (deeper than <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> m) CWC <italic>Desmophyllum dianthus</italic> and as suspended particles are the most abundant form of small particles in the deep ocean, CWCs must feed predominantly on SPOM. However, SPOM collected in the upper 30 m near Friday Harbor had a <inline-formula><mml:math id="M385" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of 5.7 <inline-formula><mml:math id="M386" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.7 ‰, which is <inline-formula><mml:math id="M387" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:math></inline-formula> ‰ lower than <italic>B. elegans</italic> soft tissue, a difference greater than expected for a single trophic level. Thus, the SPOM at Friday Harbor was evidently not the predominant food source for <italic>B. elegans</italic> growing in this depth interval.</p>
      <p id="d1e4833">Additionally, it has been suggested that CWCs can assimilate dissolved organic nitrogen (DON) (Gori et al., 2014). We do not have <inline-formula><mml:math id="M388" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N DON measurements from our field study. However, we do not expect the potential assimilation of DON to explain the elevated <inline-formula><mml:math id="M389" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of organic tissue that was observed. There are two components of marine DON, refractory and labile (Bronk et al., 2002), which have different <inline-formula><mml:math id="M390" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N (Knapp et al., 2018). At Friday Harbor, we do not know the partitioning of the <inline-formula><mml:math id="M391" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N between these pools; however, even if we did, the labile fraction (which would presumably be the pool available to corals) is expected to converge on the <inline-formula><mml:math id="M392" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N value of SPOM (Bronk et al., 2002; Sigman and Fripiat, 2019, their Fig. 4; Knapp et al., 2018; Zhang et al., 2020), given that the most recently produced DON is generally most labile. As a result, the consumption of DON would not explain the high <inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of coral organic tissue.</p>
      <p id="d1e4903">Instead, we suggest that the relatively high <inline-formula><mml:math id="M394" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of <inline-formula><mml:math id="M395" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula> ‰  of <italic>B. elegans</italic> soft tissue at Friday Harbor results from these corals deriving nutrition predominantly from larger metazoan zooplankton. Indeed, this is supported by a comparison of the <inline-formula><mml:math id="M396" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N coral tissue and the <inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the largest size class of net tow material (<inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m) of 8.0 <inline-formula><mml:math id="M400" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.8 ‰. This is the only component of the organic matter nitrogen budget that is offset from the coral tissue by <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰, consistent with one trophic level transfer. Additionally, the net tow material had a molar <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">C</mml:mi><mml:mo>:</mml:mo><mml:mi mathvariant="normal">N</mml:mi></mml:mrow></mml:math></inline-formula> ratio of 4.4 <inline-formula><mml:math id="M403" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.6, compared with 6.5 <inline-formula><mml:math id="M404" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.2 for the SPOM (Fig. S8), suggesting that a dietary preference for metazoan zooplankton would provide a higher protein content and nutritional density for these corals (Adams and Sterner, 2000).</p>
      <p id="d1e5016">Despite evidence that zooplankton is the main dietary source for <italic>B. elegans</italic> at Friday Harbor, we acknowledge that this feeding strategy may not apply to corals of other species living in habitats that are hundreds to thousands of meters deep. As pointed out in a recent review (Maier et al., 2023), the presence of CWC reefs in the food-limited deep ocean appears paradoxical, and it is not likely that the food available to corals at Friday Harbor looks identical to food available to corals living at <inline-formula><mml:math id="M405" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> m water depth. Indeed, Maier et al. (2023) suggest that the biodiversity and productivity of CWC reefs in the deep sea are supported by a number of processes, such as CWCs' ability to consume a range of dietary components in addition to zooplankton (dissolved organic matter, DOM; bacterioplankton; and inorganic resources such as inorganic C and ammonium), efficient resource recycling, and their ability to align their feeding strategies and growth with fluctuations in food availability. For example, it has been suggested that sponges, some of which are known to have high <inline-formula><mml:math id="M406" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N due to efficient internal recycling, generate dissolved and particulate organic nitrogen that is then transferred to other associated deep-sea organisms such as brittle stars (Hanz et al., 2022; Kahn et al., 2018). At the moment, however, we do not have any evidence that this deep-sea “sponge loop” directly influences the N isotope composition of CWCs. Additionally, while we cannot speculate about the flux of DOM to corals living at <inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> m depth, we note that the <inline-formula><mml:math id="M408" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of deep DOM has a uniform value of <inline-formula><mml:math id="M409" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> ‰, which cannot explain the high <inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of CWCs (see Sigman and Fripiat, 2019).</p>
      <p id="d1e5086">Maier et al. (2023) and references therein highlight that most deep CWC reefs occur in regions with higher-than-average annual primary productivity, indicating that these CWC reefs are sustained by inputs of high energy to the system, where there is also evidence of the presence of vertically migrating zooplankton. The vertically migrating zooplankton have been found near both relatively shallow (<inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">200</mml:mn></mml:mrow></mml:math></inline-formula> m; Duineveld et al., 2007; Garcia-Herrera et al., 2022) and deep (<inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1000</mml:mn></mml:mrow></mml:math></inline-formula> m; e.g., Carlier et al., 2009) CWC reefs. Moreover, there are a number of other independent studies that reveal a single trophic-level offset between the <inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of zooplankton prey and the <inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N soft tissue of asymbiotic scleractinian corals at specific sites (Duineveld et al., 2004; Sherwood et al., 2005, 2008, 2009; Carlier et al., 2009; Hill et al., 2014; Maier et al., 2020). Given the “normal” trophic level offset reported for CWCs in our laboratory culture experiment, these published observations underscore that zooplankton could be a dominant dietary component of corals other than <italic>B. elegans</italic> as well. Additional evidence from lipid biomarkers corroborates the assertion that deep-dwelling CWC species such <italic>Lophelia pertusa</italic> (recently reclassified as <italic>Desmophyllum pertusum</italic>) and <italic>Madrepora oculata</italic> feed predominantly on metazoan zooplankton (Dodds et al., 2009; Kiriakoulakis et al., 2005; Naumann et al., 2015). Some deep-dwelling CWCs (<italic>Desmophyllum pertusum</italic>, <italic>Madrepora oculata</italic>, and <italic>Dendrophyllia cornigera</italic>) exhibit prey preference for larger zooplankton (Da Ros et al., 2022), suggesting that zooplankton prey are an essential component of their<?pagebreak page1084?> diet. Indeed, an exclusive diet of phytodetritus (Maier et al., 2019) and the exclusion of zooplankton from diet (Naumann et al., 2011) led to decreases in coral metabolism. More fundamentally, the shared traits of tentacles and nematocysts are evidence of a predatory life strategy, indicating that zooplankton are an important food source for corals (Lewis and Price, 1975; Sebens et al., 1996). The coral morphology of <italic>B. elegans</italic> and that of other cold-water scleractinian corals is consistent with an adaptation for the capture of prey of a commensurate size (Fautin, 2009). Correspondingly, <italic>D. dianthus</italic> is considered to be a generalized zooplankton predator that can prey on medium to large copepods and euphausiids (Höfer et al., 2018). In contrast, gorgonian corals do not capture naturally occurring zooplankton and have a correspondingly low density of nematocysts (Lasker, 1981). In summary, while our data cannot directly indicate that all CWCs, including the deep-dwelling ones, derive their primary nutrition from zooplankton, the results of our trophic experiment and field study (when evaluated in the context of the published literature) suggest that it may be important to consider metazooplankton as a significant component of CWCs' diet and that CWCs' <inline-formula><mml:math id="M415" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N is likely to be sensitive to food web dynamics. We discuss the implications of these suggestions further in the sections below.</p>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><?xmltex \opttitle{Does coral-bound $\delta^{{15}}$N reflect surface
ocean processes at Friday Harbor?}?><title>Does coral-bound <inline-formula><mml:math id="M416" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N reflect surface ocean processes at Friday Harbor?</title>
      <p id="d1e5191">The effectiveness of coral-skeleton-bound <inline-formula><mml:math id="M417" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N as an archive to reconstruct past ocean N cycling depends on its ability to record the <inline-formula><mml:math id="M418" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the surface PON export. In turn, the <inline-formula><mml:math id="M419" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N imparted to the phytoplankton component of surface particles, from which PON export derives, is highly dependent on surface ocean dynamics that influence the degree of nitrate consumption and associated isotope fractionation. Here, we describe local marine N cycling dynamics in order to evaluate whether coral-bound <inline-formula><mml:math id="M420" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N recorded in the <italic>B. elegans</italic> specimens reflects local surface ocean processes.</p>
      <p id="d1e5241">Given complete assimilation of inorganic N pools, the <inline-formula><mml:math id="M421" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of phytoplankton material – the dominant component of SPOM at the surface ocean – converges on the <inline-formula><mml:math id="M422" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the N sources, new nitrate and recycled N sources (Treibergs et al., 2014; Fawcett et al., 2011). At steady state, the <inline-formula><mml:math id="M423" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the sinking PON flux reflects the isotope signature of the nitrate upwelled to the surface (Altabet, 1988). Alternatively, given partial nitrate consumption in the context of a finite pool (Rayleigh dynamic), such as in high-nutrient, low-chlorophyll regions and in upwelling systems, the SPOM <inline-formula><mml:math id="M424" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N is fractionated relative to the nitrate <inline-formula><mml:math id="M425" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N as function of the assimilation isotope effect and the extent of nitrate consumption (Sigman et al., 1999). The <inline-formula><mml:math id="M426" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of the sinking flux then reflects both the <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of nitrate upwelled to the surface and the degree of nitrate consumption (Altabet and François, 1994; François et al., 1997). In this section, we discuss whether coral-bound <inline-formula><mml:math id="M428" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N reflects the <inline-formula><mml:math id="M429" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of nitrate entrained to the surface.</p>
      <p id="d1e5344">Nitrate assimilation at Friday Harbor appeared to be incomplete, potentially implicating the fractionation of N isotopes between nitrate and biomass. Although depleted nitrate concentrations are generally expected at coastal sites during the summer in density-stratified water column due to phytoplankton assimilation, nitrate concentrations at Friday Harbor in August of 2021 were upwards of 15 <inline-formula><mml:math id="M430" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m at the surface and 20 <inline-formula><mml:math id="M431" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m at 30 m depth. Indeed, nitrate in the San Juan Channel is replete year-round, even at the surface, due to vigorous mixing within the channel (Mackas and Harrison, 1997; Murray et al., 2015).</p>
      <p id="d1e5364">The region experiences tidal mixing, designating it as a well-mixed estuary with minimal density stratification (Mackas and Harrison, 1997). The tidal influence is clearly identified from the diurnal patterns of vertical hydrographic structure variability with the salinity/temperature gradients changing with the tidal phase (Fig. 6a, b). The tidal pumping drives vertical mixing between high-nutrient deep water from the Strait of Juan de Fuca and fresher surface water from the Strait of Georgia (Lewis, 1978; Murray et al., 2015; Mackas and Harrison, 1997). Nutrient concentrations in the surface in the Strait of Georgia vary seasonally and are depleted during the summer at the stratified, fresher surface (Del Bel Belluz et al., 2021; Mackas and Harrison, 1997). Our temperature–salinity plot in August 2021 reflects end-member mixing between more saline/colder water from the Strait of Juan de Fuca and fresher/warmer surface water from the Strait of Georgia (Fig. S9). The influence of the Strait of Georgia surface water is recognized by the salinity minima originating from the outflow of the Fraser River (Fig. S10; Mackas and Harrison, 1997). The nitrate profiles in August 2021, although collected with a lower vertical resolution, do show diurnal variability in vertical gradients similar to salinity/temperature, consistent with the tidal mixing effect (Fig. 6c).</p>
      <p id="d1e5367">The <inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N values of nitrate measured at stations near Friday Harbor also corroborate the mixing of nitrate-rich deeper water with nitrate-deplete surface water from the Strait of Georgia. The apparent isotope effect for nitrate assimilation in August 2021 was <inline-formula><mml:math id="M433" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰, markedly lower than the canonical value of 5 ‰ associated with nitrate assimilation by surface ocean phytoplankton communities (DiFiore et al., 2006; Sigman et al., 1999; Altabet and François, 1994). A low apparent isotope effect is consistent with the two-end-member mixing of lower-<inline-formula><mml:math id="M434" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N, nitrate-rich water with highly fractionated (high-<inline-formula><mml:math id="M435" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N), low-nitrate water (Sigman et al., 1999). Highly fractionated nitrate, in turn, likely originated from the nutrient-depleted Strait of Georgia surface waters entrained into the Channel Islands of California. The linear relationship between salinity and nitrate concentration in August 2021 further substantiates physical mixing as the dominant control on nitrate concentrations and isotope ratios in San Juan Channel (Fig. S10; Mackas and Harrison, 1997). Moreover, the <inline-formula><mml:math id="M436" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of nitrate was relatively uniform with depth,<?pagebreak page1085?> indicating effective vertical mixing of the Strait of Georgia and Strait of Juan de Fuca water masses. The relatively slight decrease in nitrate <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N with depth suggests a secondary influence of local nitrate assimilation on its concentration and isotope ratios.</p>
      <p id="d1e5436">The corresponding <inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of SPOM at Friday Harbor covered a broad range, from 4.2 ‰  to 8.7 ‰  in August 2021. The depth distribution of SPOM did not mirror the corresponding nitrate <inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N profile, as could otherwise be expected. At the stratified near-surface (5 m) at station 1, the <inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of SPOM averaged 4.2 ‰  compared with 7.4 ‰  for nitrate. In the context of Rayleigh fractionation, this result suggests that particulate material at the surface consisted primarily of the instantaneous product of nitrate assimilation (Mariotti et al., 1981). The lower <inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N SPOM values could also reflect some degree of reliance with respect to regenerated N species, which would result in a <inline-formula><mml:math id="M442" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of SPOM that is lower than that of incident nitrate (Fawcett et al., 2011; Lourey et al., 2003; Treibergs et al., 2014). Deeper in the water column, the <inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of SPOM converged on the <inline-formula><mml:math id="M444" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of incident nitrate, between 6 ‰ and 7 ‰, suggesting that SPOM was derived from the complete consumption of an incident nitrate pool (even though nitrate was present at these depths). Phytoplankton at these depths may, thus, have originated from surface water entrained from the Strait of Georgia – where nitrate was completely utilized. The above dynamics complicate validation of the offset between the <inline-formula><mml:math id="M445" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of exported PON and coral-bound <inline-formula><mml:math id="M446" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N. However, we find little evidence of nitrate fractionation from partial assimilation on <inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of phytoplankton SPOM, which suggests that the <inline-formula><mml:math id="M448" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N imparted on local<italic> B. elegans</italic> skeletons should reflect the <inline-formula><mml:math id="M449" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of nitrate entrained to the surface. The <inline-formula><mml:math id="M450" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:math></inline-formula> ‰ difference between coral skeleton <inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N (<inline-formula><mml:math id="M452" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">13.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰) and the entrained nitrate (<inline-formula><mml:math id="M453" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">6.5</mml:mn></mml:mrow></mml:math></inline-formula> ‰) is similar to the empirical range of 7 ‰–9 ‰ reported for other CWC species, such as <italic>D. pertusum</italic> (Kiriakoulakis et al., 2005) and <italic>D. dianthus</italic> (Wang et al., 2014), and suggests that <italic>B. elegans</italic> provides a record of the thermocline nitrate <inline-formula><mml:math id="M454" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N and surface nutrient dynamics at Friday Harbor.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><?xmltex \opttitle{Conclusions and implications for paleo-reconstruction from coral $\delta^{{15}}$N}?><title>Conclusions and implications for paleo-reconstruction from coral <inline-formula><mml:math id="M455" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N</title>
      <p id="d1e5660">We conclude that the solitary scleractinian cold-water coral <italic>B. elegans</italic> in Friday Harbor, WA, predominantly derives nutrition from metazoan zooplankton prey. While our study was limited to a shallow field site, our isotope feeding experiment, evaluated alongside previously published studies, points to the possibility that deeper-dwelling CWCs could also rely on zooplankton prey as a fundamental component of their diet. SPOM may contribute to these CWCs' diet, but it cannot be presumed to exclusively account for the large offset between the <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of PON export and coral skeleton <inline-formula><mml:math id="M457" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N documented by Wang et al. (2014). The <inline-formula><mml:math id="M458" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of skeletal material recovered from coral archives is, thus, likely to be sensitive to local food web dynamics; for a given <inline-formula><mml:math id="M459" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of sinking PON exiting the surface ocean, the <inline-formula><mml:math id="M460" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N recorded by CWC may differ among individuals of the same species feeding on different zooplankton prey, depending on availability. In fact, Wang et al. (2014) did report a “natural variability” of 1 ‰–1.5 ‰ within a single specimen that might have resulted from some variability in the local food web on a short timescale of few years. Some studies have documented an increase in the degree of carnivory of zooplankton with depth (Dodds et al., 2009; Vinogradov, 1962). For instance, Hannides et al. (2013) recorded a 3.5 ‰ increase in zooplankton <inline-formula><mml:math id="M461" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N from 150 to 1000 m in the subtropical North Pacific, with the steepest rate of increase from 100 to 300 m. Koppelmann et al. (2009) reported a similar pattern of zooplankton <inline-formula><mml:math id="M462" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N through the water column. Corals feeding on carnivorous zooplankton that have elevated <inline-formula><mml:math id="M463" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N at depth could explain small but resolvable (1 ‰–2 ‰) increases in coral <inline-formula><mml:math id="M464" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N with increasing depth (Wang et al., 2014). The <inline-formula><mml:math id="M465" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N recorded in CWC skeletons also tends to differ by 1 ‰–2 ‰ among species, as respective species occupy different nutritional niches (Teece et al., 2011). The relationship between CWC species represented in fossil archives to the depth structure of their zooplankton prey warrants further investigation.</p>
      <p id="d1e5777">Consideration of the possible dependence of coral-bound <inline-formula><mml:math id="M466" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N on food web dynamics informs the questions that can be competently addressed by this proxy. Although we do not have direct estimates of the <inline-formula><mml:math id="M467" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N range that can be expected from local food web variability, the scatter around the global compilation of Wang et al. (2014) for the coral-bound <inline-formula><mml:math id="M468" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of <italic>D. dianthus</italic> relative to the <inline-formula><mml:math id="M469" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N of PON suggests that this range is modest, on the order of <inline-formula><mml:math id="M470" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> ‰–2 ‰. Given this range, we suggest that the coral-bound <inline-formula><mml:math id="M471" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N proxy will be most useful for reconstructing larger environmental <inline-formula><mml:math id="M472" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N signals and where chosen coral samples belong to the same species and are collected at comparable depths, as has already been successfully demonstrated by Wang et al. (2017), Studer et al. (2018), and Chen et al. (2023). If used in this way, the broad geographic and temporal coverage afforded by CWCs, the opportunity to measure multiple proxies from individual specimens, and the imperviousness of coral-bound <inline-formula><mml:math id="M473" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>N to diagenetic alteration render it a valuable paleo-proxy for reconstructing marine N cycling.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e5875">The data presented in this paper are available from <uri>https://www.bco-dmo.org/project/893811</uri> (Gothmann et al., 2024).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e5881">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/bg-21-1071-2024-supplement" xlink:title="pdf">https://doi.org/10.5194/bg-21-1071-2024-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <?pagebreak page1086?><p id="d1e5890">JG, AMG, and MGP conceptualized the research presented in this paper. JLM and AMG designed and carried out culture experiments. MGP and AC prepared coral samples for analysis. JLM and VR analyzed samples. JLM, AMG, JG, and KD collected water samples, SPOM, and net tows. KD collected live corals for culture experiments and field studies. JLM and JG prepared the manuscript with contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e5896">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e5902">Publisher’s note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e5908">We are grateful to Friday Harbor Laboratories for their assistance with the coral collections and field sampling (especially Pema Kitaeff and Megan Dethier). We acknowledge the valued assistance of the Artemia Reference Center (specifically Gilbert Van Stappen and Christ Mahieu). Coral culture experiments would not have been sustained without the help of St. Olaf College undergraduate students Rachel Raser, Joash Daniel, Qintiantian Nong, YiWynn Chan, Mansha Haque, Natasia Preys, and Miranda Lenz. We are also indebted to Craig Tobias and Peter Ruffino for access to and assistance with the elemental analyzer–isotope ratio mass spectrometer.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e5913">This research has been supported by the Directorate for Geosciences (grant nos. OCE-1949984, OCE-1949132, and OCE-1949119).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e5919">This paper was edited by Marcel van der Meer and reviewed by Philip Riekenberg and Ulrike Hanz.</p>
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