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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/feart.2018.00167</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Growth Kinetics and Distribution of Trace Elements in Precious Corals</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Vielzeuf</surname> <given-names>Daniel</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/483454/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Gagnon</surname> <given-names>Alexander C.</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/483372/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Ricolleau</surname> <given-names>Ang&#x00E8;le</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Devidal</surname> <given-names>Jean-Luc</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Balme-Heuze</surname> <given-names>Catherine</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Yahiaoui</surname> <given-names>Nassima</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/601044/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Fonquernie</surname> <given-names>Claire</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Perrin</surname> <given-names>Jonathan</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Garrabou</surname> <given-names>Joaquim</given-names></name>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Montel</surname> <given-names>Jean-Marc</given-names></name>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Floquet</surname> <given-names>Nicole</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/604349/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Aix Marseille Universit&#x00E9;, CNRS, Centre Interdisciplinaire de Nanoscience de Marseille, UMR 7325</institution>, <addr-line>Marseille</addr-line>, <country>France</country></aff>
<aff id="aff2"><sup>2</sup><institution>School of Oceanography, University of Washington</institution>, <addr-line>Seattle, WA</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>Laboratoire Magmas et Volcans, Universit&#x00E9; Blaise Pascal &#x2013; CNRS &#x2013; IRD, OPGC</institution>, <addr-line>Aubi&#x00E8;re</addr-line>, <country>France</country></aff>
<aff id="aff4"><sup>4</sup><institution>Corallium</institution>, <addr-line>La Ciotat</addr-line>, <country>France</country></aff>
<aff id="aff5"><sup>5</sup><institution>Synchrotron Soleil, L&#x2019;Orme des Merisiers</institution>, <addr-line>Saint-Aubin</addr-line>, <country>France</country></aff>
<aff id="aff6"><sup>6</sup><institution>Institut de Ciencies del Mar &#x2013; CSIC</institution>, <addr-line>Barcelona</addr-line>, <country>Spain</country></aff>
<aff id="aff7"><sup>7</sup><institution>Universit&#x00E9; de Lorraine, CREGU, CNRS, Ecole Nationale Sup&#x00E9;rieure de G&#x00E9;ologie, Laboratoire G&#x00E9;oressources</institution>, <addr-line>Vand&#x0153;uvre-l&#x00E8;s-Nancy</addr-line>, <country>France</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Karim Benzerara, Centre National de la Recherche Scientifique (CNRS), France</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Rinat Gabitov, Mississippi State University, United States; Thomas M. DeCarlo, University of Western Australia, Australia; Hans Uwe Dahms, Kaohsiung Medical University, Taiwan</p></fn>
<corresp id="c001">&#x002A;Correspondence: Daniel Vielzeuf, <email>vielzeuf@cinam.univ-mrs.fr</email></corresp>
<fn fn-type="other" id="fn002"><p>This article was submitted to Biogeoscience, a section of the journal Frontiers in Earth Science</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>18</day>
<month>10</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="collection">
<year>2018</year>
</pub-date>
<volume>6</volume>
<elocation-id>167</elocation-id>
<history>
<date date-type="received">
<day>11</day>
<month>07</month>
<year>2018</year>
</date>
<date date-type="accepted">
<day>28</day>
<month>09</month>
<year>2018</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2018 Vielzeuf, Gagnon, Ricolleau, Devidal, Balme-Heuze, Yahiaoui, Fonquernie, Perrin, Garrabou, Montel and Floquet.</copyright-statement>
<copyright-year>2018</copyright-year>
<copyright-holder>Vielzeuf, Gagnon, Ricolleau, Devidal, Balme-Heuze, Yahiaoui, Fonquernie, Perrin, Garrabou, Montel and Floquet</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<p>The concentration and spatial distribution of major (Ca, Mg) and trace elements (Na, Sr, S, Li, Ba, Pb, and U) in different <italic>Corallium</italic> skeletons (<italic>C. rubrum, C. japonicum, C. elatius</italic>, <italic>C. konojoi</italic>) have been studied by electron microprobe (EMP) and laser ablation inductively coupled plasma mass spectrometry (LA-ICPMS). EMP data show positive Na-Mg and negative Na-S and Mg-S correlations in all skeletons. LA-ICPMS data display additional Sr-Mg, Li-Mg, and U-Mg positive correlations. Medullar zones in the skeletons, corresponding to fast growing zones, are systematically richer in Mg, Na, Sr, Li, and U and poorer in S than the surrounding slow growing zones. These spatial distributions are mostly interpreted in terms of growth kinetics combined with steric effects influencing the incorporation of impurities in biogenic calcites. This interpretation is in agreement with available experimental data on kinetic effects on the incorporation of elements in calcite. At a different scale, annual growth rings in annular slow growing zones show oscillations in Mg, Na, Sr, and S. These chemical oscillations probably result from growth rate variations: fast growth would produce rings enriched in Mg, Sr, and Na, while slow growth would produce rings enriched in Ca, S and organic matter. From previous studies in <italic>C. rubrum</italic>, the Mg-rich rings would develop during the spring to fall period while the S-rich rings would form immediately after (late fall and winter). Analytical traverses performed in annular zones of different <italic>Corallium</italic> skeletons indicate that Mg, Na, Sr, Li, and U decrease from core to rim. This observation indicates that radial growth rate decreases as the colony gets older. Contrary to Mg, Na, Sr, Li, S, and U, barium and lead concentrations are identical in medullar and annular zones and appear independent of growth kinetics. Thus, concentrations in <italic>Corallium</italic> skeletons could provide indications on Ba and Pb contents in the oceans. Barium and lead concentrations are higher in Mediterranean than in Pacific precious corals, these two elements can be used to discriminate <italic>C. rubrum</italic> from <italic>C. japonicum</italic>, and contribute enforcing regulations on the trade of precious corals.</p>
</abstract>
<kwd-group>
<kwd><italic>Corallium</italic> skeleton</kwd>
<kwd>chemical composition</kwd>
<kwd>annular zone</kwd>
<kwd>medullar zone</kwd>
<kwd>growth ring</kwd>
</kwd-group>
<counts>
<fig-count count="9"/>
<table-count count="3"/>
<equation-count count="1"/>
<ref-count count="82"/>
<page-count count="18"/>
<word-count count="0"/>
</counts>
</article-meta>
</front>
<body>
<sec><title>Introduction</title>
<p>Chemical contents of major, minor, and trace elements vary and are spatially arranged in <italic>Corallium</italic> skeletons (<xref ref-type="bibr" rid="B73">Weinbauer et al., 2000</xref>; <xref ref-type="bibr" rid="B70">Vielzeuf et al., 2008</xref>, <xref ref-type="bibr" rid="B71">2013</xref>; <xref ref-type="bibr" rid="B27">Hasegawa et al., 2012</xref>; <xref ref-type="bibr" rid="B45">Nguyen et al., 2014</xref>; <xref ref-type="bibr" rid="B62">Tamenori et al., 2014</xref>). An important point is to determine whether these variations are due to environmental parameters, biological or mineralogical influences, or combinations of factors. The impact of environmental parameters on chemical contents of <italic>Corallium</italic> skeletons is debated. <xref ref-type="bibr" rid="B73">Weinbauer et al. (2000)</xref> considered that the concentrations of magnesium in <italic>Corallium rubrum</italic> is an indicator of sea water temperature. A positive correlation of Mg/Ca with sea water temperature is also inferred by <xref ref-type="bibr" rid="B79">Yoshimura et al. (2011)</xref>. Alternatively, <xref ref-type="bibr" rid="B71">Vielzeuf et al. (2013)</xref> showed that Mg/Ca and Sr/Ca ratios in <italic>C. rubrum</italic> collected at various locations and different depths (8&#x2013;73 m), and thus different temperatures, cannot be used as proxies of sea water temperature. They also demonstrated that a single colony that grew in an area where the temperature was monitored for 30 years did not register the increase of sea water temperature of about 1&#x00B0;C through its Mg and Sr chemistry. These authors suggested that the Mg spatial distribution could be an indicator of growth rate variations on decadal time scales and that <italic>C. rubrum</italic> was an example of how growth dynamics affected biomineral chemistry. The hypothesis that elemental distributions depend on skeleton growth kinetics is difficult to test <italic>in situ</italic> on <italic>Corallium</italic> species with slow growth rates (<xref ref-type="bibr" rid="B24">Garrabou and Harmelin, 2002</xref>; <xref ref-type="bibr" rid="B36">Marschal et al., 2004</xref>; <xref ref-type="bibr" rid="B70">Vielzeuf et al., 2008</xref>, <xref ref-type="bibr" rid="B71">2013</xref>; <xref ref-type="bibr" rid="B27">Hasegawa et al., 2012</xref>). An indirect route can be taken as <italic>Corallium</italic> skeletons systematically display a central core (or medullar zone) surrounded by an annular zone (<xref ref-type="bibr" rid="B30">Lacaze-Duthiers, 1864</xref>; <xref ref-type="bibr" rid="B36">Marschal et al., 2004</xref>; <xref ref-type="bibr" rid="B70">Vielzeuf et al., 2008</xref>; <xref ref-type="bibr" rid="B49">Perrin et al., 2015</xref>). The medullar zone is made of sclerites (small grains of Mg-calcite developing in the living tissues around the hard skeleton) and sclerite aggregates embedded in a &#x2018;cement&#x2019; consisting of fine layers of Mg-calcite. The annular zone is made of concentric layers of calcite crystallites with only rare sclerites (<bold>Figure <xref ref-type="fig" rid="F1">1</xref></bold>). These contrasting features imply two different growth modes: (1) in the medullar zone, a &#x201C;block and cement&#x201D; mode takes place at the apex of a branch and is associated with a fast axial growth rate (&#x223C;2 mm/year); (2) in the annular zone, a layer-by-layer growth mode is associated with slow radial growth (&#x223C;0.2 mm/year) (<xref ref-type="bibr" rid="B2">Allemand, 1993</xref>; <xref ref-type="bibr" rid="B24">Garrabou and Harmelin, 2002</xref>; <xref ref-type="bibr" rid="B36">Marschal et al., 2004</xref>; <xref ref-type="bibr" rid="B15">Debreuil et al., 2012</xref>; <xref ref-type="bibr" rid="B49">Perrin et al., 2015</xref>). When necessary, medullar fast growing zones and annular slow growing zones will be abbreviated as MFGZ and ASGZ, respectively. These two contrasting zones provide an opportunity to determine whether growth rates impact the concentration of major and trace elements in biogenic calcite. Implications on the origin of growth rings in the annular slow growing zones are also discussed.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>Sections of <italic>Corallium</italic> skeletons under binocular magnifier. <bold>(a)</bold> <italic>C. japonicum</italic>. The medullar zone is located inside the white domain (black arrow), but does not coincide with it. The off-centered annular zone is white around the medullar zone, then red. <bold>(b)</bold> <italic>C. rubrum</italic>. Enlargement showing the medullar zone with its characteristic morphology. Sclerites appear as dark units inside the medullar zone. The annular zone with concentric annual layers surrounds the medullar zone. <bold>(c)</bold> Perpendicular section of <italic>C. elatius</italic>. The medullar zone located in the inner white zone is not readily identifiable. <bold>(d)</bold> Section of <italic>C. konojoi</italic>. The medullar zone can be identified because of the red color of the sclerites. The dark dots correspond to LA-ICPMS spots. MFGZ, medullar fast growing zone; ASGZ, annular slow growing zone.</p></caption>
<graphic xlink:href="feart-06-00167-g001.tif"/>
</fig>
</sec>
<sec id="s1" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec><title>Materials</title>
<p>Colonies of <italic>C. rubrum</italic> were collected along the rocky coast of the Mediterranean Sea between Marseille and Cassis (France). Colonies of <italic>C. elatius</italic> and <italic>C. japonicum</italic> come from various locations in Tosa Bay (Shikoku, Kochi, Japan). Other samples of <italic>C. elatius</italic> and some samples of <italic>C. japonicum</italic> of unknown origin were obtained from a jeweller&#x2019;s private collection. Two other samples from this collection with uncertain taxonomic identification (<italic>Midway C.</italic> sp. and <italic>Deep sea C.</italic> sp.), were studied. Geographic locations and sampling dates are given as <bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material (SM)</xref></bold> in <bold><xref ref-type="supplementary-material" rid="SM1">SM1 Table 1</xref></bold>. For the analyses, the samples were cut perpendicular (more rarely parallel) to the main axis of the branch, with or without removal of the dried organic tissues, mounted and polished in epoxy. In some colonies, sclerites were extracted from the organic tissues by immersion of the specimen in sodium hypochlorite (5%) for about 2 h, rinsed a few times with demineralized water then ethanol, and dried at room temperature. Portions of skeletons and sclerites were ground in ethanol for bulk analyses by ICP-OES and ICPMS. Note that the high-magnesium calcite corals used in this study are mineralogically, compositionally, physiologically, and genetically different from the aragonitic reef-forming (scleractinian) corals, and geochemical trends are not expected to be similar between these two orders of <italic>Anthozoa</italic>.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Electron microprobe analyses of <italic>Corallium</italic> skeletons.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<th valign="top" align="center"><italic>n</italic></th>
<td valign="top" align="center"></td>
<th valign="top" align="center">Ca</th>
<th valign="top" align="center">Mg</th>
<th valign="top" align="center">Sr</th>
<th valign="top" align="center">Na</th>
<th valign="top" align="center">S</th>
<th valign="top" align="center">Cl</th>
<th valign="top" align="center">C</th>
<th valign="top" align="center">O</th>
<th valign="top" align="center">Mg/Mg + Ca</th>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="left"></td>
<td valign="top" align="left"></td>
<td valign="top" align="left"><hr/></td>
<td valign="top" align="left"><hr/></td>
<td valign="top" align="left"><hr/></td>
<td valign="top" align="left"><hr/></td>
<td valign="top" align="left"><hr/></td>
<td valign="top" align="left"><hr/></td>
<td valign="top" align="left"><hr/></td>
<td valign="top" align="left"><hr/></td>
<td valign="top" align="left"><hr/></td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"></td>
<th valign="top" align="center">&#x03BC;g/g</th>
<th valign="top" align="center">&#x03BC;g/g</th>
<th valign="top" align="center">&#x03BC;g/g</th>
<th valign="top" align="center">&#x03BC;g/g</th>
<th valign="top" align="center">&#x03BC;g/g</th>
<th valign="top" align="center">&#x03BC;g/g</th>
<th valign="top" align="center">&#x03BC;g/g</th>
<th valign="top" align="center">&#x03BC;g/g</th>
<th valign="top" align="center">At. Nb.</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>Midway</italic> (<italic>C.</italic> sp.)</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">361607</td>
<td valign="top" align="center">18241</td>
<td valign="top" align="center">2302</td>
<td valign="top" align="center">2988</td>
<td valign="top" align="center">3073</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">123055</td>
<td valign="top" align="center">488734</td>
<td valign="top" align="center">7.7</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>SD</italic></td>
<td valign="top" align="center"><italic>2125</italic></td>
<td valign="top" align="center"><italic>592</italic></td>
<td valign="top" align="center"><italic>216</italic></td>
<td valign="top" align="center"><italic>248</italic></td>
<td valign="top" align="center"><italic>129</italic></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>738</italic></td>
<td valign="top" align="center"><italic>1226</italic></td>
<td valign="top" align="center"><italic>0.3</italic></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. thrinax</italic></td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">342281</td>
<td valign="top" align="center">29118</td>
<td valign="top" align="center">2683</td>
<td valign="top" align="center">3327</td>
<td valign="top" align="center">2880</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">125370</td>
<td valign="top" align="center">494342</td>
<td valign="top" align="center">12.3</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>SD</italic></td>
<td valign="top" align="center"><italic>5795</italic></td>
<td valign="top" align="center"><italic>1685</italic></td>
<td valign="top" align="center"><italic>200</italic></td>
<td valign="top" align="center"><italic>496</italic></td>
<td valign="top" align="center"><italic>167</italic></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>2039</italic></td>
<td valign="top" align="center"><italic>3247</italic></td>
<td valign="top" align="center"><italic>0.7</italic></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. johnsoni</italic></td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">346745</td>
<td valign="top" align="center">24388</td>
<td valign="top" align="center">2251</td>
<td valign="top" align="center">3554</td>
<td valign="top" align="center">3167</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">125705</td>
<td valign="top" align="center">494189</td>
<td valign="top" align="center">10.4</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>SD</italic></td>
<td valign="top" align="center"><italic>2221</italic></td>
<td valign="top" align="center"><italic>509</italic></td>
<td valign="top" align="center"><italic>168</italic></td>
<td valign="top" align="center"><italic>228</italic></td>
<td valign="top" align="center"><italic>119</italic></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>835</italic></td>
<td valign="top" align="center"><italic>1373</italic></td>
<td valign="top" align="center"><italic>0.2</italic></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. niobe</italic></td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">350333</td>
<td valign="top" align="center">24216</td>
<td valign="top" align="center">2375</td>
<td valign="top" align="center">3440</td>
<td valign="top" align="center">3077</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">124464</td>
<td valign="top" align="center">492096</td>
<td valign="top" align="center">10.2</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>SD</italic></td>
<td valign="top" align="center"><italic>1986</italic></td>
<td valign="top" align="center"><italic>478</italic></td>
<td valign="top" align="center"><italic>174</italic></td>
<td valign="top" align="center"><italic>381</italic></td>
<td valign="top" align="center"><italic>114</italic></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>778</italic></td>
<td valign="top" align="center"><italic>1286</italic></td>
<td valign="top" align="center"><italic>0.2</italic></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. konojoi</italic></td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">347889</td>
<td valign="top" align="center">27156</td>
<td valign="top" align="center">2523</td>
<td valign="top" align="center">3077</td>
<td valign="top" align="center">3180</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">124096</td>
<td valign="top" align="center">492079</td>
<td valign="top" align="center">11.4</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>SD</italic></td>
<td valign="top" align="center"><italic>2542</italic></td>
<td valign="top" align="center"><italic>930</italic></td>
<td valign="top" align="center"><italic>202</italic></td>
<td valign="top" align="center"><italic>395</italic></td>
<td valign="top" align="center"><italic>259</italic></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>696</italic></td>
<td valign="top" align="center"><italic>1126</italic></td>
<td valign="top" align="center"><italic>0.4</italic></td>
</tr>
<tr>
<td valign="top" align="left"><italic>Deep Sea</italic> (<italic>C.</italic> sp.)</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">353402</td>
<td valign="top" align="center">22951</td>
<td valign="top" align="center">2479</td>
<td valign="top" align="center">3156</td>
<td valign="top" align="center">2988</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">123984</td>
<td valign="top" align="center">491040</td>
<td valign="top" align="center">9.7</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>SD</italic></td>
<td valign="top" align="center"><italic>3167</italic></td>
<td valign="top" align="center"><italic>1099</italic></td>
<td valign="top" align="center"><italic>163</italic></td>
<td valign="top" align="center"><italic>370</italic></td>
<td valign="top" align="center"><italic>188</italic></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>949</italic></td>
<td valign="top" align="center"><italic>1560</italic></td>
<td valign="top" align="center"><italic>0.5</italic></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. japonicum</italic> MFGZ</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">346472</td>
<td valign="top" align="center">26175</td>
<td valign="top" align="center">2572</td>
<td valign="top" align="center">3393</td>
<td valign="top" align="center">3124</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">124554</td>
<td valign="top" align="center">493709</td>
<td valign="top" align="center">11.1</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>SD</italic></td>
<td valign="top" align="center"><italic>2523</italic></td>
<td valign="top" align="center"><italic>438</italic></td>
<td valign="top" align="center"><italic>335</italic></td>
<td valign="top" align="center"><italic>270</italic></td>
<td valign="top" align="center"><italic>121</italic></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>963</italic></td>
<td valign="top" align="center"><italic>1575</italic></td>
<td valign="top" align="center"><italic>0.2</italic></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. japonicum</italic> ASGZ</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">348219</td>
<td valign="top" align="center">25964</td>
<td valign="top" align="center">2381</td>
<td valign="top" align="center">3053</td>
<td valign="top" align="center">3336</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">124025</td>
<td valign="top" align="center">493022</td>
<td valign="top" align="center">10.9</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>SD</italic></td>
<td valign="top" align="center"><italic>1616</italic></td>
<td valign="top" align="center"><italic>407</italic></td>
<td valign="top" align="center"><italic>280</italic></td>
<td valign="top" align="center"><italic>226</italic></td>
<td valign="top" align="center"><italic>103</italic></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>609</italic></td>
<td valign="top" align="center"><italic>968</italic></td>
<td valign="top" align="center"><italic>0.2</italic></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. elatius</italic> MFGZ</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">350027</td>
<td valign="top" align="center">24577</td>
<td valign="top" align="center">2588</td>
<td valign="top" align="center">3284</td>
<td valign="top" align="center">3330</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">123815</td>
<td valign="top" align="center">492379</td>
<td valign="top" align="center">10.4</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>SD</italic></td>
<td valign="top" align="center"><italic>3922</italic></td>
<td valign="top" align="center"><italic>1799</italic></td>
<td valign="top" align="center"><italic>305</italic></td>
<td valign="top" align="center"><italic>400</italic></td>
<td valign="top" align="center"><italic>356</italic></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>919</italic></td>
<td valign="top" align="center"><italic>1535</italic></td>
<td valign="top" align="center"><italic>0.8</italic></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. elatius</italic> ASGZ</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">352833</td>
<td valign="top" align="center">22770</td>
<td valign="top" align="center">2377</td>
<td valign="top" align="center">2753</td>
<td valign="top" align="center">3641</td>
<td valign="top" align="center"></td>
<td valign="top" align="center">123613</td>
<td valign="top" align="center">492014</td>
<td valign="top" align="center">9.6</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>SD</italic></td>
<td valign="top" align="center"><italic>1868</italic></td>
<td valign="top" align="center"><italic>931</italic></td>
<td valign="top" align="center"><italic>289</italic></td>
<td valign="top" align="center"><italic>370</italic></td>
<td valign="top" align="center"><italic>246</italic></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>583</italic></td>
<td valign="top" align="center"><italic>922</italic></td>
<td valign="top" align="center"><italic>0.4</italic></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. rubrum</italic> (Medes 2014) MFGZ</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">344079</td>
<td valign="top" align="center">28063</td>
<td valign="top" align="center">2715</td>
<td valign="top" align="center">3339</td>
<td valign="top" align="center">3089</td>
<td valign="top" align="center">265</td>
<td valign="top" align="center">124960</td>
<td valign="top" align="center">493491</td>
<td valign="top" align="center">11.8</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>SD</italic></td>
<td valign="top" align="center"><italic>2367</italic></td>
<td valign="top" align="center"><italic>905</italic></td>
<td valign="top" align="center"><italic>343</italic></td>
<td valign="top" align="center"><italic>546</italic></td>
<td valign="top" align="center"><italic>171</italic></td>
<td valign="top" align="center"><italic>65</italic></td>
<td valign="top" align="center"><italic>795</italic></td>
<td valign="top" align="center"><italic>1254</italic></td>
<td valign="top" align="center"><italic>0.4</italic></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. rubrum</italic> (Medes 2014) ASGZ</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">349034</td>
<td valign="top" align="center">26026</td>
<td valign="top" align="center">2603</td>
<td valign="top" align="center">2765</td>
<td valign="top" align="center">3504</td>
<td valign="top" align="center">156</td>
<td valign="top" align="center">124040</td>
<td valign="top" align="center">491872</td>
<td valign="top" align="center">10.9</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"></td>
<td valign="top" align="center"><italic>SD</italic></td>
<td valign="top" align="center"><italic>2267</italic></td>
<td valign="top" align="center"><italic>1272</italic></td>
<td valign="top" align="center"><italic>348</italic></td>
<td valign="top" align="center"><italic>425</italic></td>
<td valign="top" align="center"><italic>283</italic></td>
<td valign="top" align="center"><italic>56</italic></td>
<td valign="top" align="center"><italic>586</italic></td>
<td valign="top" align="center"><italic>911</italic></td>
<td valign="top" align="center"><italic>0.5</italic></td>
</tr>
<tr>
<td valign="top" align="left"></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<attrib><italic>MFGZ, medullar fast growing zone; ASGZ, annular slow growing zone; n, number of analyses; SD, 1&#x03C3; standard deviation. Values of C and O calculated by stoichiometry.</italic></attrib>
</table-wrap-foot>
</table-wrap>
</sec>
<sec><title>Analytical and Preparation Methods</title>
<p>Techniques with complementary capabilities were used to obtain comprehensive chemical information on <italic>Corallium</italic> skeletons. Electron microprobe (EMP) provides good spatial resolution and allows accurate surface mapping of Ca, Mg, S, and Na. Laser ablation inductively coupled plasma mass spectrometry (LA-ICPMS) has better sensitivity and precision than EMP for minor and trace elements (like Sr, Ba, Li, B, U), but its spatial resolution is not as good (spots of 50 &#x03BC;m instead of 2&#x2013;5 &#x03BC;m). Due to their sizes and shapes, sclerites are difficult to analyze <italic>in situ</italic>; thus, bulk analyses of <italic>C. rubrum</italic> skeletons and sclerites were obtained by inductively coupled plasma &#x2013; optical emission spectroscopy (ICP-OES) and inductively coupled plasma mass spectrometry (ICPMS). Finally, hydrogen analyses were obtained with an organic element analyzer.</p>
<sec><title>Electron Microprobe (EMP)</title>
<p>Electron microprobe chemical images of Ca, Mg, Na, and S were obtained on thick polished samples embedded in epoxy, on a SX100 CAMECA electron microprobe [Laboratoire Magmas et Volcans (LMV), Clermont-Ferrand, France]. For image acquisition, the beam current, beam diameter, counting times, and step interval varied in the range 10&#x2013;50 nA, 1&#x2013;2 &#x03BC;m, 30&#x2013;50 ms per pixel, 1&#x2013;5 &#x03BC;m, respectively, with an acceleration voltage of 15 kV. In general, four images (Ca, Mg, Na, and S) were acquired simultaneously during sessions that lasted &#x223C;8 h. All samples were coated with a &#x223C;20 nm thick carbon layer. Quantitative analyses (spot analyses, usually along analytical traverses) of Ca, Mg, Na, Sr, and S were obtained on nine different <italic>Corallium</italic> species. In addition, Cl was analyzed in <italic>C. rubrum</italic>. Typical EMP internal instrumental (1&#x03C3;) errors on analyzed corals are 2,900, 830, 620, 840, 250, and 110 &#x03BC;g/g, for Ca, Mg, Na, Sr, S, and Cl, respectively. Special attention was paid to analytical conditions as sulfur can be lost during analysis, in particular under focused beam. The optimal conditions were 20 nA, 20 &#x03BC;m, 20 s [for all elements except Na (10 s)] for the beam current, beam diameter, and counting time, respectively, with an acceleration voltage of 15 kV. Conditions to analyze simultaneously Sr and S by EMP are antagonistic as Sr requires long counting times and focused beam while S needs the opposite. We decided to optimize sulfur analytical conditions because Sr concentrations can be also measured by LA-ICPMS. Concerning sodium, similar concentrations and distribution patterns were observed in samples treated and untreated by sodium hypochlorite. This absence of effect is due to the high density of <italic>Corallium</italic> skeletons and removal of altered surfaces by polishing. The compositions in weight percent oxide were measured by EMP as CaO, Na<sub>2</sub>O, SrO, SO<sub>3</sub>, MgO. Natural calcite, albite, celestine, periclase, and scapolite (for Cl) were used as standards. Matrix effects were corrected using the phi-rho-z correction available on Peak Sight&#x00A9; software from CAMECA<sup>TM</sup>. Since C and O are not independently measured, CO<sub>2</sub> was calculated by stoichiometry from the concentrations of CaO, MgO, SrO, Na<sub>2</sub>O considering that Ca, Mg, Sr, and Na combine into carbonate and sulfate, according to the structural formula (Ca<sub>w</sub>Mg<sub>x</sub>Sr<sub>y</sub>Na<sub>z</sub>)<sub>A</sub> [(CO<sub>3</sub>)<sub>u</sub>(SO<sub>4</sub>)<sub>v</sub>)]<sub>A</sub>, with w + x + y + 0.5z = u + v = A. This way, C and O wt% contents can be determined, together with analysis totals. Totals in the range 99 &#x00B1; 3 wt% are considered as an indication of a good analysis. Throughout this article, elemental concentrations are given in &#x03BC;g/g (or ppm), elemental ratios (e.g., Mg/Ca) in mmol/mol, and the proportion of MgCO<sub>3</sub> in calcite in mol%.</p>
</sec>
<sec><title>Laser Ablation Inductively Coupled Plasma Mass Spectrometry (LA-ICPMS)</title>
<p>Trace element analyses were obtained at LMV (Clermont-Ferrand, France) on an Agilent 7500 cs ICPMS coupled to a 193 nm Excimer Resonetics M-50E laser ablation system with maximum output energy of 6 mJ. Analyses were made with a laser pulse frequency of 2 Hz and a constant beam diameter of 40 &#x03BC;m. The ablated material was carried by helium (0.7 L/min) and then mixed with nitrogen and argon in front of the ICP. The following isotopes were collected: <sup>7</sup>Li, <sup>23</sup>Na, <sup>24</sup>Mg, <sup>31</sup>P, <sup>66</sup>Zn, <sup>88</sup>Sr, <sup>137</sup>Ba, <sup>208</sup>Pb, <sup>238</sup>U, with integration times varying between 30 and 200 ms depending on the element and the session. Typical minimum detection limits are 0.04, 0.3, 0.2, 4.5, 0.2, 0.02, 0.12, 0.02, and 0.01 &#x03BC;g/g for Li, Na, Mg, P, Zn, Sr, Ba, Pb, and U, respectively. Internal instrumental (1&#x03C3;) errors are typically in the range of 0.1, 120, 1040, 20, 0.10, 80, 0.2, 0.01, and 0.01 &#x03BC;g/g, for Li, Na, Mg, P, Zn, Sr, Ba, Pb, and U, respectively. The mean calcium abundance measured by EMP for each coral sample was used as internal standard. A typical signal acquisition consisted in collecting a background signal for 30 s followed by laser firing for 70 s. Trace-element reductions were done with the Glitter software (<xref ref-type="bibr" rid="B69">Van Achterbergh et al., 2001</xref>). The long firing time (70 s) allowed checking (1) if the signal was stable during the measure (flat plateau) and (2) if any voids or inclusions were encountered during firing. Only flat plateau portions were processed, and initial spikes or signals associated with surface contamination were systematically discarded. The NIST 610 glass was used as an external standard (<xref ref-type="bibr" rid="B55">Shaheen et al., 2008</xref>). The glasses NIST 612 and BCR-2G (<xref ref-type="bibr" rid="B23">Gao et al., 2002</xref>) were also analyzed to check the accuracy and precision of the analyses.</p>
</sec>
<sec><title>Inductively Coupled Plasma &#x2013; Optical Emission Spectroscopy and Inductively Coupled Plasma Mass Spectrometry (ICP-OES and ICPMS)</title>
<p>Bulk samples of sclerites, branch tips, and branch bases were extracted from two colonies of <italic>C. rubrum</italic> collected at the same location in the Calanques of Marseille, at two different periods of the year (October and April). Major and trace element analyses of the six powdered samples were obtained on a Thermo ICP-OES Icap 6500 and Thermo IcapQ, respectively, at Service d&#x2019;Analyse des Roches et des Min&#x00E9;raux (SARM), Centre de Recherches P&#x00E9;trologiques et G&#x00E9;ochimiques (CRPG), Nancy, France. 200 mg of material were used for each analysis. Procedures and instrumental errors are given in <xref ref-type="bibr" rid="B12">Carignan et al. (2001)</xref>.</p>
<p>Thirty-four samples of skeletons from nine different <italic>C. rubrum</italic> colonies collected in the Calanques area (Marseille, France), and 14 sclerite batches extracted from colonies coming from various places in the Mediterranean were analyzed by isotope dilution (ID) &#x2013; ICPMS at the Division of Geological and Planetary Sciences at Caltech, Pasadena, CA, United States. The analytical conditions to determine Mg/Ca and Sr/Ca ratios are given in <xref ref-type="bibr" rid="B71">Vielzeuf et al. (2013)</xref>. The long term external reproducibility of coral analysis using ID-ICPMS, as determined by the 2&#x03C3; standard deviation of repeat measurements of two different dissolved coral consistency standards, is better than &#x00B1;0.003 mmol/mol (Sr/Ca) and &#x00B1;0.5 mmol/mol (Mg/Ca).</p>
</sec>
<sec><title>Organic Element Analyzer</title>
<p>C, H, N, and S contents of skeletons and sclerites were obtained at LMV (Clermont-Ferrand, France). Three analytical standards and reference materials were used in the process: BBOT (C<sub>26</sub>H<sub>26</sub>N<sub>2</sub>O<sub>2</sub>S), ascorbic acid (C<sub>6</sub>H<sub>8</sub>O<sub>6</sub>), and a soil reference (homogeneous batch of soil from Thermo Scientific) for C, N, and S. About 1 mg of sample, analytical standard or reference material was weighed in a tin capsule on a XP6 microbalance (Mettler Toledo, Greifensee, Switzerland) with a 1 &#x03BC;g resolution. Similar amounts of V<sub>2</sub>O<sub>5</sub> were added to the sample to optimize the combustion. Analyses were carried out in a Flash 2000 CHNS-O organic elemental analyzer from Thermo Fisher Scientific Inc., equipped with a MAS 200R autosampler. During the analyses, the following parameters were used: 2.4 bar helium with a 140 mL/min flow rate of carrier gas and a 120 mL/min flow rate of reference gas, 2.2 bar oxygen with a flow rate of 90 mL/min, and an injection end time (duration of O<sub>2</sub> injection) of 11 s. Accuracies of the measurements are better than 1% relative for C (i.e., &#x00B1;1,200 &#x03BC;g/g), and 10% relative for H and S (i.e., &#x00B1;200 &#x03BC;g/g).</p>
</sec>
</sec></sec>
<sec><title>Results</title>
<sec><title>Concentrations of Elements and Correlations</title>
<sec><title>Ca, Mg, Sr, Na, and S Measured by EMP</title>
<p>Calcium, magnesium, strontium, sodium, and sulfur concentrations of nine <italic>Corallium</italic> species are given in <bold>Table <xref ref-type="table" rid="T1">1</xref></bold>. The magnesium content is rather constant among the different species &#x223C;11 &#x00B1; 1 mol% MgCO<sub>3</sub>, except for the <italic>Midway C.</italic> sp. sample that has a lower Mg content (7.7 mol% MgCO<sub>3</sub>). The Sr content does not vary much either, between 2,200 and 2,700 &#x03BC;g/g. As already noted for <italic>C. rubrum</italic> (<xref ref-type="bibr" rid="B71">Vielzeuf et al., 2013</xref>), the Na and S contents are relatively high, in the range 3,000&#x2013;3,400 and 2,900&#x2013;3,600 &#x03BC;g/g for Na and S, respectively. The chlorine contents measured in <italic>C. rubrum</italic> vary between 20 and 370 &#x03BC;g/g.</p>
<p>Correlations that may exist between elements are critical to understand the crystallo-chemistry of biogenic Mg calcites. A negative correlation necessarily exists between Ca and Mg [because (1) the sum of cations is fixed in Mg calcite, and (2) Ca and Mg are the two predominant cations]; thus, the classic Ca-Mg substitution does not need further discussion. Other correlations are more unexpected. In most <italic>Corallium</italic> species, a positive correlation is observed between Na and Mg (<bold>Figure <xref ref-type="fig" rid="F2">2A</xref></bold>). The two exceptions (<italic>Midway C.</italic> sp. and <italic>C. niobe</italic>) are attributed to insufficient number of analyses and limited range of Mg contents. A similar Na/Mg correlation has been recently described in deep sea calcitic octocorals (<xref ref-type="bibr" rid="B52">Rollion-Bard et al., 2017</xref>). For clarity, the data of <italic>C. elatius</italic> have been isolated (<bold>Figure <xref ref-type="fig" rid="F2">2D</xref></bold>), the dots are moderately aligned with a correlation coefficient (<italic>r</italic><sup>2</sup>) of 0.52 (<bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 3</xref></bold>). A second correlation is observed between Na and S (<bold>Figure <xref ref-type="fig" rid="F2">2B</xref></bold>). Indeed, if the cases of <italic>Midway C.</italic> sp. and <italic>C. niobe</italic> are ignored (same justification as above), all species display a negative correlation between Na and S (<italic>r</italic><sup>2</sup> between 0.3 and 0.7 &#x2013; <bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 3</xref></bold>). <bold>Figure <xref ref-type="fig" rid="F2">2E</xref></bold> shows the same diagram with only two species: <italic>C. japonicum</italic> and <italic>C. elatius</italic>. As shown in <bold>Figures <xref ref-type="fig" rid="F2">2C,F</xref></bold>, a negative correlation between S and Mg arises from the two previous ones (Na-Mg, and Na-S). In this case, all species, including <italic>Midway C.</italic> sp. and <italic>C. niobe</italic>, display negative correlations between S and Mg (<italic>r</italic><sup>2</sup> between 0.1 and 0.8 &#x2013; <bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 3</xref></bold>). Finally, contrary to what will be observed later on LA-ICPMS data, no correlation is observed between Sr and Mg on EMP data. As discussed earlier, this lack of correlation is attributed to the relatively poor Sr precision under selected EMP analytical conditions.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>Electron microprobe analyses of different <italic>Corallium</italic> skeletons [<italic>Midway</italic> (<italic>C.</italic> sp.), <italic>C. thrinax, C. johnsoni, C. niobe, C. konojoi, Deep sea</italic> (<italic>C.</italic> sp.), <italic>C. japonicum, C. elatius, C. rubrum</italic>]. <bold>(A&#x2013;C)</bold> All data and linear adjustment for each species (equation parameters and correlation coefficients are supplied as <bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 3</xref></bold>). <bold>(D&#x2013;F)</bold> <italic>C. elatius</italic> and <italic>C. japonicum</italic> data extracted from <bold>(A&#x2013;C)</bold>. The equations and correlation coefficients correspond to <italic>C. elatius</italic> data (MFGZ and ASGZ combined). MFGZ, medullar fast growing zone; ASGZ, annular slow growing zone.</p></caption>
<graphic xlink:href="feart-06-00167-g002.tif"/>
</fig>
</sec>
<sec><title>Trace Elements Concentrations Measured by LA-ICPMS</title>
<p>Na concentrations determined by LA-ICPMS in <italic>C. rubrum, C. japonicum, C. elatius</italic>, and <italic>C. konojoi</italic>, (3,700, 3,800, 3,700, 3,900 &#x03BC;g/g, respectively &#x2013; <bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 2</xref></bold>) are higher than those determined by EMP (3,100, 3,200, 3,000, 3,100) (<bold>Table <xref ref-type="table" rid="T1">1</xref></bold>). Differences are attributed to the instruments and possible Na losses during EMP analyses, but also to concentration variabilities, within a sample and from a sample to another. Concerning Sr, the concentrations obtained with the two instruments are similar within error and/or sample internal variation [LA-ICPMS: 2,700, 2,600, 2,800, 2,700 &#x03BC;g/g; EMP: 2,700, 2,500, 2,500, 2,500, for <italic>C. rubrum, C. japonicum, C. elatius</italic>, and <italic>C. konojoi</italic>, respectively]. Contrary to other elements that have almost similar concentrations in the different <italic>Corallium</italic> species, Ba and Pb concentrations are higher in <italic>C. rubrum</italic> than in <italic>C. japonicum, C. elatius</italic>, and <italic>C. konojoi</italic> (Ba: 8.2 &#x00B1; 1.1 in <italic>C. rubrum</italic> vs. 6 &#x00B1; 0.8 &#x03BC;g/g in the three other species &#x2013; Pb: 0.48 &#x00B1; 0.19 in <italic>C. rubrum</italic> vs. 0.14 &#x00B1; 0.02 &#x03BC;g/g in other species &#x2013; <bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 2</xref></bold> and <bold>Figure <xref ref-type="fig" rid="F3">3</xref></bold>). These differences will be interpreted later. During LA-ICPMS data acquisitions, contents of P, K, Cr, Mn, and Zn were often determined; the concentrations of these elements are given in <bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 2</xref></bold> but will not be discussed further here.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>Pb and Ba LA-ICPMS data. <bold>(A)</bold> Pb vs. Ba diagram showing the respective fields of <italic>C. rubrum</italic> and <italic>C. japonicum</italic> (all analyses). <bold>(B)</bold> Pb vs. Ba for <italic>C. rubrum, C. japonicum, C. elatius</italic>, and <italic>C</italic>. <italic>konojoi</italic>. Mean composition of analyzed colonies. Fields of <italic>C. elatius</italic> and <italic>C. konojoi</italic> are likely to expand with additional data.</p></caption>
<graphic xlink:href="feart-06-00167-g003.tif"/>
</fig>
<p>LA-ICPMS data point out positive correlations between Sr and Mg (<bold>Figure <xref ref-type="fig" rid="F4">4B</xref></bold>) (<italic>r</italic><sup>2</sup> between 0.4 and 0.8 &#x2013; <bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 3</xref></bold>). Although the intercepts at Mg = 0 differ in the four species, from about 1,000 to 2,000 &#x03BC;g/g (<bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 3</xref></bold>), the Sr/Mg slopes are close (from 0.03 to 0.05). On another hand, <bold>Figure <xref ref-type="fig" rid="F4">4A</xref></bold> shows a positive correlation between Na and Mg for all species (<italic>r</italic><sup>2</sup> between 0.2 and 0.9 &#x2013; <bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 3</xref></bold>), confirming EMP observations (<bold>Figure <xref ref-type="fig" rid="F2">2A</xref></bold>). Other correlations such as Li vs. Mg, and U vs. Mg are displayed in <bold>Figure <xref ref-type="fig" rid="F5">5</xref></bold>. <italic>C. elatius</italic> data have been isolated in <bold>Figures <xref ref-type="fig" rid="F5">5C,D</xref></bold>. These figures indicate that data from each species have to be treated separately in order to establish (or not) elemental correlations as slight differences of concentration from a species to another (species dependence) may prevent global correlation. This observation is also valid for EMP correlations discussed earlier. Correlations coefficients (<italic>r</italic><sup>2</sup>) of the data series displayed in <bold>Figures <xref ref-type="fig" rid="F2">2</xref></bold>, <bold><xref ref-type="fig" rid="F4">4</xref></bold>, <bold><xref ref-type="fig" rid="F5">5</xref></bold> are variable and sometimes low (<bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 3</xref></bold>); however, the fact that similar trends are observed in all species adds credit to our conclusions.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption><p>LA-ICPMS data. <bold>(A,B)</bold> Na and Sr vs. Mg in <italic>C. rubrum, C. japonicum, C. elatius</italic> and <italic>C. konojoi</italic> and corresponding regression lines (equations and correlation coefficients are given as <bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 3</xref></bold>). <bold>(C,D)</bold> <italic>C. elatius</italic> data extracted from <bold>(A,B)</bold> (equations and correlation coefficients from MFGZ and ASGZ combined data). ASGZ, annular slow growing zone; MFGZ, medullar fast growing zone.</p></caption>
<graphic xlink:href="feart-06-00167-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption><p>LA-ICPMS data. <bold>(A,B)</bold> Li and U vs. Mg in <italic>C. rubrum, C. japonicum, C. elatius</italic> and C. <italic>konojoi</italic> (equations and correlation coefficients in <bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material &#x2013; SM1 Table 3</xref></bold>). <bold>(C,D)</bold> <italic>C. elatius</italic> data extracted from <bold>(A,B)</bold> (equations and correlation coefficients from MFGZ and ASGZ combined data).</p></caption>
<graphic xlink:href="feart-06-00167-g005.tif"/>
</fig>
</sec>
<sec><title>Hydrogen and Sulfur Measured by OEA</title>
<p>Carbon, hydrogen, and sulfur have been analyzed by OEA in nine <italic>Corallium</italic> species (<bold>Table <xref ref-type="table" rid="T2">2</xref></bold>). Sulfur contents in the range 2,150&#x2013;3,050 (mean value: 2,580 &#x00B1; 330 &#x03BC;g/g) are usually lower than those determined by EMP [range 2,880&#x2013;3,640; mean value: 3,160 &#x00B1; 220 &#x03BC;g/g &#x2013; excluding medullar zones (MFGZ) for reasons discussed below]. Due to the special attention paid on the analytical conditions of sulfur, the concentrations determined by EMP are considered more accurate than those determined by OEA on a bulk powder.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Carbon, hydrogen, and sulfur contents in <italic>Corallium</italic> species.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<th valign="top" align="center">C</th>
<th valign="top" align="center">H</th>
<th valign="top" align="center">S</th>
<th valign="top" align="center">% OM</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><italic>Midway</italic> (<italic>C.</italic> sp.)</td>
<td valign="top" align="center">130820</td>
<td valign="top" align="center">2510</td>
<td valign="top" align="center">2150</td>
<td valign="top" align="center"><bold>3.3</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. thrinax</italic></td>
<td valign="top" align="center">119930</td>
<td valign="top" align="center">1830</td>
<td valign="top" align="center">2810</td>
<td valign="top" align="center"><bold>2.4</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. johnsoni</italic></td>
<td valign="top" align="center">119950</td>
<td valign="top" align="center">2200</td>
<td valign="top" align="center">2760</td>
<td valign="top" align="center"><bold>2.9</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. niobe</italic></td>
<td valign="top" align="center">121000</td>
<td valign="top" align="center">2290</td>
<td valign="top" align="center">2510</td>
<td valign="top" align="center"><bold>3.0</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. konojoi</italic> Tk</td>
<td valign="top" align="center">119910</td>
<td valign="top" align="center">1450</td>
<td valign="top" align="center">2320</td>
<td valign="top" align="center"><bold>1.9</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. konojoi</italic> CBH</td>
<td valign="top" align="center">119000</td>
<td valign="top" align="center">1350</td>
<td valign="top" align="center">2110</td>
<td valign="top" align="center"><bold>1.8</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>Deep sea</italic> (<italic>C.</italic> sp.)</td>
<td valign="top" align="center">131400</td>
<td valign="top" align="center">3470</td>
<td valign="top" align="center">3050</td>
<td valign="top" align="center"><bold>4.6</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. japonicum</italic></td>
<td valign="top" align="center">120840</td>
<td valign="top" align="center">2090</td>
<td valign="top" align="center">2400</td>
<td valign="top" align="center"><bold>2.8</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. elatius</italic></td>
<td valign="top" align="center">121180</td>
<td valign="top" align="center">1810</td>
<td valign="top" align="center">2890</td>
<td valign="top" align="center"><bold>2.4</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. rubrum</italic> Sk</td>
<td valign="top" align="center">119920</td>
<td valign="top" align="center">1960</td>
<td valign="top" align="center">2610</td>
<td valign="top" align="center"><bold>2.6</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. rubrum</italic> Tip</td>
<td valign="top" align="center">120150</td>
<td valign="top" align="center">2210</td>
<td valign="top" align="center">2570</td>
<td valign="top" align="center"><bold>2.9</bold></td>
</tr>
<tr>
<td valign="top" align="left"><italic>C. rubrum</italic> Scl</td>
<td valign="top" align="center">121170</td>
<td valign="top" align="center">2318</td>
<td valign="top" align="center">2317</td>
<td valign="top" align="center"><bold>3.1</bold></td>
</tr>
<tr>
<td valign="top" align="left"></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<attrib><italic>Sk, skeleton; Tip, tip of a branch (representative of medullar zone); Scl, sclerites. The proportion of OM has been calculated considering that all hydrogen is in the OM, and that the hydrogen OM content equals 7.6 wt%.</italic></attrib>
</table-wrap-foot>
</table-wrap>
<p>The measured concentrations of carbon vary from a species to another between 119,000 and 130,000 &#x03BC;g/g. The theoretical values of carbon concentration in calcite (CaCO<sub>3</sub>) and magnesite (MgCO<sub>3</sub>) are 120,003 and 142,452 &#x03BC;g/g, respectively. Thus, differences of C contents in <italic>Corallium</italic> species can be ascribed in part to differences in proportion of MgCO<sub>3</sub> component, and from variations of organic matter (OM) content (see below). Carbon contents lower than 120,003 &#x03BC;g/g (the C content of inorganic calcite) may indicate the presence of sulfate substituting to carbonate ions as demonstrated in previous studies (<xref ref-type="bibr" rid="B71">Vielzeuf et al., 2013</xref>; <xref ref-type="bibr" rid="B62">Tamenori et al., 2014</xref>; <xref ref-type="bibr" rid="B45">Nguyen et al., 2014</xref>; <xref ref-type="bibr" rid="B48">Perrin et al., 2017</xref>).</p>
<p>Hydrogen contents in the skeletons can be related to the amount of OM in the biomineral if all H is contained in the OM, and if the H content of the OM is known (<xref ref-type="bibr" rid="B48">Perrin et al., 2017</xref>). Concerning the first assumption, no evidence of hydrated Mg calcite in <italic>Corallium</italic> species has been found so far in Raman investigations (<xref ref-type="bibr" rid="B40">Merlin and Dele-Dubois, 1986</xref>). Concerning the OM hydrogen content, preliminary measurements of red coral tissues after decarbonation of the skeleton indicate H contents of about 76,000 &#x03BC;g/g (7.6 wt%). In addition, hydrogen contents in organic constituents of a wide range of organisms are rather constant and close to 8&#x2013;10 wt% (<xref ref-type="bibr" rid="B68">Trask, 1937</xref>). A simple proportional calculation (skeleton hydrogen content/OM hydrogen content &#x00D7; 10<sup>6</sup>) gives the concentration of OM in the skeleton in &#x03BC;g/g. If the value of 76,000 &#x03BC;g/g is taken for the OM hydrogen content, then the OM concentrations in the <italic>Corallium</italic> species are close to 2 wt%, except for <italic>Midway C.</italic> sp. that reaches 4.6 wt% (<bold>Table <xref ref-type="table" rid="T2">2</xref></bold>). Combining an error of &#x00B1;10% relative for the amount of H in the OM with an error of &#x00B1;10% relative for the amount of H in the skeleton translates into an error of 20% relative for the concentration of OM in the skeletons. It will be noted that the highest C contents coincide with the highest concentrations of OM, as expected due to the contribution of organic carbon.</p>
</sec>
</sec>
<sec><title>Comparison of Medullar-Fast and Annular-Slow Growing Zones</title>
<sec><title>EMP Data</title>
<p>Although differences are small, <italic>C. japonicum, C. elatius</italic>, and <italic>C. rubrum</italic> mean compositions of medullar fast growing zones are systematically higher in Mg, Sr, Na, Cl, and lower in Ca and S than annular slow growing zones (<bold>Table <xref ref-type="table" rid="T1">1</xref></bold>). These differences are verified on the chemical maps of Mg, Na, and S of <italic>C. rubrum, C. japonicum, C. elatius</italic>, and <italic>C. konojoi</italic> covering medullar and annular zones (<bold>Figure <xref ref-type="fig" rid="F6">6</xref></bold>). In these maps, concentrations increase from black to white. <bold>Figures <xref ref-type="fig" rid="F6">6a</xref>&#x2013;<xref ref-type="fig" rid="F6">i</xref></bold> show maps of transverse sections of <italic>C. elatius</italic>, <italic>C. rubrum</italic>, and <italic>C. japonicum</italic> branches while <bold>Figures <xref ref-type="fig" rid="F6">6j</xref>&#x2013;<xref ref-type="fig" rid="F6">l</xref></bold> display a sagittal (longitudinal) section of <italic>C. konojoi.</italic> The last figures show the complex 2-D shape of the medullar zone, a direct consequence of the rugged 3-D morphology of branch tips.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption><p>Mg, Na and S EMP maps of Corallium skeletons. <bold>(a&#x2013;c)</bold> Transverse section of <italic>C. elatius</italic>. <bold>(d&#x2013;f)</bold> Transverse section of <italic>C. rubrum</italic>. <bold>(g&#x2013;i)</bold> Transverse section of <italic>C. japonicum</italic>. <bold>(j&#x2013;l)</bold> Longitudinal section of <italic>C. konojoi</italic>. White dashed lines encircle medullar zones. ASGZ, annular slow growing zone; MFGZ, medullar fast growing zone.</p></caption>
<graphic xlink:href="feart-06-00167-g006.tif"/>
</fig>
</sec>
<sec><title>LA-ICPMS Data</title>
<p>LA-ICPMS measurements were made specifically on medullar and annular zones of <italic>C. rubrum, C. japonicum, C. elatius</italic>, and <italic>C. konojoi</italic> (<bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 2</xref></bold>). These compositions are plotted in <bold>Figure <xref ref-type="fig" rid="F7">7</xref></bold> and confirm that medullar zones are richer in Na and Mg than annular zones (Na: &#x223C;4,140 vs. <italic>&#x223C;</italic>3,560, Mg: &#x223C;31,000 vs. &#x223C;27,700 &#x03BC;g/g, for medullar and annular zones, respectively). LA-ICPMS data also show that the medullar zones of the four species are enriched in Li (3.7 vs. 2.6 &#x03BC;g/g), U (0.13 vs. 0.05 &#x03BC;g/g), and Sr (2,780 vs. 2,610 &#x03BC;g/g &#x2013; not shown in <bold>Figure <xref ref-type="fig" rid="F7">7</xref></bold>), with respect to annular zones. The increase of U content is particularly important as medullar zones contain two to five times more U than the annular zone (<bold>Figure <xref ref-type="fig" rid="F7">7D</xref></bold>), with a minimum of 0.05 and a maximum of 0.25 &#x03BC;g/g in <italic>C. elatius</italic> annular and medullar zones, respectively. A statistical analysis (Wilcoxon&#x2013;Mann&#x2013;Withney Test and principal component analysis) of both EMP and LA-ICPMS data confirms the difference of composition between annular and medullar zones (<bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM2</xref></bold>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption><p>Chemical comparison of medullar fast growing and annular slow growing zones (LA-ICPMS data). <bold>(A&#x2013;C)</bold> Na, Li, and U vs. Mg. <bold>(D)</bold> U vs. Li. Mean compositions of annular slow growing zones (blue squares) and medullar fast growing zones (yellow squares) in <italic>C. rubrum</italic>, <italic>C. japonicum, C. elatius</italic>, and <italic>C. konojoi</italic> (undifferentiated). MFGZ, medullar fast growing zone; ASGZ, annular slow growing zone. Error bars correspond to standard deviations (&#x00B1;1&#x03C3; SD) given in <bold><xref ref-type="supplementary-material" rid="SM1">Supplementary Material SM1 Table 2</xref></bold>. Horizontal SD for magnesium have not been reported for clarity (for each dot, the mean Mg SD is about 1,500 &#x03BC;g/g).</p></caption>
<graphic xlink:href="feart-06-00167-g007.tif"/>
</fig>
<p>In annular zones, LA-ICPMS data were collected along traverses, from rim to core. <bold>Figure <xref ref-type="fig" rid="F8">8</xref></bold> shows an analytical traverse in a <italic>C. konojoi</italic> skeleton. It confirms that medullar and annular zones have different Mg, Na, Li, U, and to a smaller extent, Sr compositions. Most notably, Mg, Na, Sr, Li, and U decrease progressively from core to rim in the annular zone. These patterns will be interpreted later.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption><p>LA-ICPMS analytical traverse in <italic>C. konojoi</italic>. <bold>(A&#x2013;E)</bold> Mg, Na, Sr, Li, and U traverses in a section of <italic>C. konojoi</italic>. Some analytical points in the medullar zone are not aligned along the traverse (see <bold>Figure <xref ref-type="fig" rid="F1">1d</xref></bold> for a case of misalignment in the medullar zone). Error bars for lithium are smaller than the dot. Error bars in the medullar zone are not reported for clarity.</p></caption>
<graphic xlink:href="feart-06-00167-g008.tif"/>
</fig>
</sec>
</sec>
<sec><title><italic>C. rubrum</italic> Skeleton and Sclerite Compositions Determined by ICP-OES, ICP-MS, and ID-ICP-MS</title>
<p>Basal portions of skeleton branches, tips of branches and sclerites of two colonies of <italic>C. rubrum</italic> have been analyzed. The branch tip (that becomes later the medullar part) is made of sclerites embedded in Mg calcitic &#x2018;cement&#x2019; (medullar cement). Note that the word &#x2018;cement&#x2019; is used here in the structural sense of a material holding together separately built units (the sclerites). The basal portion of a branch is predominantly made of Mg calcite layers practically devoid of sclerites (annular zone) but it contains a small part of medullar zone (itself made of sclerites and medullar cement) (<xref ref-type="bibr" rid="B2">Allemand, 1993</xref>; <xref ref-type="bibr" rid="B49">Perrin et al., 2015</xref>). Results presented in <bold>Table <xref ref-type="table" rid="T3">3</xref></bold> confirm that the tips (i.e., medullar zones) are richer in Na, Mg, and U than the basal branch (more representative of the annular zone). These results also confirm that the sclerites are richer in Mg than the skeleton (<xref ref-type="bibr" rid="B73">Weinbauer et al., 2000</xref>; <xref ref-type="bibr" rid="B71">Vielzeuf et al., 2013</xref>; <xref ref-type="bibr" rid="B49">Perrin et al., 2015</xref>). However, it is not yet known if the medullar &#x2018;cement&#x2019; and annular zone (both made of Mg calcite crystallites) are similar or not in composition. If the medullar cement and annular zone had similar compositions, the tip should have an intermediate composition between annular zone and sclerites. <bold>Table <xref ref-type="table" rid="T3">3</xref></bold> shows that even if it is the case for Mg, it is not for Na, Ba, and U. From these observations, and in particular U concentrations, it can be postulated that annular zones and medullar cements have different compositions. Thus, annular and medullar zone compositional differences discussed above on the basis of EMP and ICP-MS data cannot be simply ascribed to the presence of sclerites in the medullar zone. Finally, sclerites are poorer in S, Na, Sr, and richer in rare earth elements (REEs) than the skeleton (<xref ref-type="bibr" rid="B71">Vielzeuf et al., 2013</xref> for sulfur, and <bold>Table <xref ref-type="table" rid="T3">3</xref></bold>). In short, sclerites, tip &#x2018;cement&#x2019; and annular zones have different compositions in <italic>C. rubrum</italic>.</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Chemical compositions of <italic>C. rubrum</italic> skeletons (Sk), tips and sclerites (Scl) determined by ICP-AES and ICP-MS (samples Sormiou Canceou and Falaise Voile).</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<th valign="top" align="center">Na</th>
<th valign="top" align="center">Mg</th>
<th valign="top" align="center">Ca</th>
<th valign="top" align="center">Cr</th>
<th valign="top" align="center">Ni</th>
<th valign="top" align="center">Rb</th>
<th valign="top" align="center">Sr</th>
<th valign="top" align="center">Y</th>
<th valign="top" align="center">Cd</th>
<th valign="top" align="center">Nd</th>
<th valign="top" align="center">Sn</th>
<th valign="top" align="center">Ba</th>
<th valign="top" align="center">La</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Sk</td>
<td valign="top" align="center">3870</td>
<td valign="top" align="center">27300</td>
<td valign="top" align="center">347600</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">2560</td>
<td valign="top" align="center">0.04</td>
<td valign="top" align="center">0.08</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">8.10</td>
<td valign="top" align="center">0.02</td>
</tr>
<tr>
<td valign="top" align="left">Tip</td>
<td valign="top" align="center">3990</td>
<td valign="top" align="center">28500</td>
<td valign="top" align="center">345600</td>
<td valign="top" align="center">0.50</td>
<td valign="top" align="center">2.30</td>
<td valign="top" align="center">0.20</td>
<td valign="top" align="center">2500</td>
<td valign="top" align="center">0.04</td>
<td valign="top" align="center">0.11</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">8.90</td>
<td valign="top" align="center">0.03</td>
</tr>
<tr>
<td valign="top" align="left">Scl</td>
<td valign="top" align="center">3520</td>
<td valign="top" align="center">30500</td>
<td valign="top" align="center">340600</td>
<td valign="top" align="center">1.00</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">2320</td>
<td valign="top" align="center">0.15</td>
<td valign="top" align="center">0.28</td>
<td valign="top" align="center">0.04</td>
<td valign="top" align="center">0.33</td>
<td valign="top" align="center">8.30</td>
<td valign="top" align="center">0.06</td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="left" colspan="13"><hr/></td>
</tr>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"><bold>Ce</bold></td>
<td valign="top" align="center"><bold>Pr</bold></td>
<td valign="top" align="center"><bold>Sm</bold></td>
<td valign="top" align="center"><bold>Eu</bold></td>
<td valign="top" align="center"><bold>Gd</bold></td>
<td valign="top" align="center"><bold>Dy</bold></td>
<td valign="top" align="center"><bold>Ho</bold></td>
<td valign="top" align="center"><bold>Er</bold></td>
<td valign="top" align="center"><bold>Yb</bold></td>
<td valign="top" align="center"><bold>Hf</bold></td>
<td valign="top" align="center"><bold>Ta</bold></td>
<td valign="top" align="center"><bold>Pb</bold></td>
<td valign="top" align="center"><bold>U</bold></td>
</tr>
<tr>
<td valign="top" align="left" colspan="14"><hr/></td>
</tr>
<tr>
<td valign="top" align="left">Sk</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">0.05</td>
</tr>
<tr>
<td valign="top" align="left">Tip</td>
<td valign="top" align="center">0.04</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">&#x003C; D.L.</td>
<td valign="top" align="center">0.75</td>
<td valign="top" align="center">0.08</td>
</tr>
<tr>
<td valign="top" align="left">Scl</td>
<td valign="top" align="center">0.06</td>
<td valign="top" align="center">0.010</td>
<td valign="top" align="center">0.010</td>
<td valign="top" align="center">0.003</td>
<td valign="top" align="center">0.010</td>
<td valign="top" align="center">0.008</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">0.005</td>
<td valign="top" align="center">0.541</td>
<td valign="top" align="center">0.32</td>
<td valign="top" align="center">0.80</td>
<td valign="top" align="center">0.05</td>
</tr>
<tr>
<td valign="top" align="left" colspan="14"><hr/></td>
</tr>
<tr>
<td valign="top" align="left" colspan="14"><bold>Other elements below detection limit (D.L.)</bold>: Al, As, Be, Bi, Co, Cs, Cu, Fe, Ga, Ge, In, Lu, Mn, Mo, Nb, P, Si, Sc, Sb, Th, Ti, Tm, V, W, Zr.</td>
</tr>
<tr>
<td valign="top" align="left" colspan="14"><bold>Internal instrumental errors</bold> (1&#x03C3; in &#x03BC;g/g): Ca: 7000; Na: 600; Mg: 3000; Sr: 150; Ba: 2; Pb: 0.2; U: 0.01.</td>
</tr>
<tr>
<td valign="top" align="left"></td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Mg/Ca and Sr/Ca ratios obtained on <italic>C. rubrum</italic> skeletons and sclerites by ID-ICPMS, confirm that the sclerites are richer in Mg and slightly poorer in Sr than the skeletons. First indications of such differences in composition were provided by <xref ref-type="bibr" rid="B73">Weinbauer et al. (2000)</xref>. <bold>Figure <xref ref-type="fig" rid="F8">8</xref></bold> shows that Mg and Sr are correlated in both the skeletons and the sclerites along two separated trends with identical slopes.</p>
<p>To summarize:</p>
<list list-type="simple" prefix-word="simple">
<list-item><label>(1)</label><p>EMP measurements of <italic>Corallium</italic> skeletons show positive correlations between Na and Mg, and negative correlations between Na and S, and Mg and S.</p></list-item>
<list-item><label>(2)</label><p>LA-ICPMS measurements confirm the positive Na/Mg correlation in <italic>Corallium</italic> skeletons and also demonstrate Sr/Mg, Li/Mg, and U/Mg positive correlations.</p></list-item>
<list-item><label>(3)</label><p>EMP measurements indicate that medullar zones are systematically richer in Mg, Sr, Na, (possibly Cl) and poorer in Ca and S than annular zones. This conclusion is confirmed by LA-ICPMS data which also indicate that medullar zones are enriched in Li and U compared to annular zones.</p></list-item>
<list-item><label>(4)</label><p>Chemical traverses show that Mg, Na, Sr, Li, and U progressively decrease from core to rim in the annular zone of <italic>C. konojoi</italic>. Traverses in other precious corals show similar patterns.</p></list-item>
<list-item><label>(5)</label><p><italic>C. rubrum</italic> sclerites are richer in Mg and REE, and poorer in Sr, Na, and S, than the skeletons. Skeletons and sclerite display two separate positive Sr/Mg correlations.</p></list-item>
</list>
</sec>
</sec>
<sec><title>Discussion</title>
<sec><title>Growth Kinetics and the Incorporation of Elements in Calcite</title>
<p>The data presented above indicate that the concentrations of Mg, Na, Sr, Li, and U are higher in medullar fast growing zones than in the annular slow growing zone, and conversely for Ca and S. Although not unique, a possible and parsimonious explanation for this situation is that the incorporation of these elements in <italic>Corallium</italic> biogenic calcites could be in part linked to growth kinetics. The idea that kinetics plays a role in the incorporation of impurities in crystals (and conversely) is probably as old as the concept of crystal growth itself. As a reminder, impurities in calcite include metal cations, anions (such as SO<sub>4</sub><sup>2-</sup>), and organic molecules among which polyelectrolytes (soluble polymers, proteins, and polysaccharides). The literature concerning the effect of impurities on crystal growth is enormous and the reader is referred to <xref ref-type="bibr" rid="B1">Abbona and Aquilino (2010)</xref> for a review. In Earth science, <xref ref-type="bibr" rid="B33">Lorens (1981)</xref> was among the first to discuss the way growth rate affects element distribution between calcite and solution. He demonstrated that Sr increases with the precipitation rate of calcite. <xref ref-type="bibr" rid="B59">Staudt et al. (1994)</xref> gave an early review of the effect of growth rate on non-equilibrium anion and cation incorporation during crystal growth. The empirical tendency derived from these studies is that in a given environment, the content of compatible elements in calcite (most divalent cations with ionic radii close to Ca<sup>2+</sup> such as Mn<sup>2+</sup>, Fe<sup>2+</sup>, Co<sup>2+</sup>, Cd<sup>2+</sup>) decreases with increasing growth rate, while the content of incompatible elements such as Sr<sup>2+</sup> and Ba<sup>2+</sup> increases (<xref ref-type="bibr" rid="B59">Staudt et al., 1994</xref>). In biogenic calcites, the situation is complicated by the fact that organic molecules are structurally incorporated, and form a hybrid nano-composite. Indeed, X-ray diffraction (<xref ref-type="bibr" rid="B7">Bischoff et al., 1983</xref>; <xref ref-type="bibr" rid="B82">Zolotoyabko, 2016</xref>) and synchrotron small and wide angle X-ray scattering (<xref ref-type="bibr" rid="B25">Gilow et al., 2011</xref>) indicate that lattice distortions in biogenic calcites originate from atomic interactions between crystal faces and organic molecules.</p>
<p><italic>A review of experimental studies &#x2013;</italic> Numerous experimental studies demonstrate that the incorporation of incompatible elements in inorganic calcite is favored by fast growth rates [<bold>Sr</bold>: (<xref ref-type="bibr" rid="B33">Lorens, 1981</xref>; <xref ref-type="bibr" rid="B43">Mucci, 1988</xref>; <xref ref-type="bibr" rid="B65">Tesoriero and Pankow, 1996</xref>; <xref ref-type="bibr" rid="B19">Gabitov and Watson, 2006</xref>; <xref ref-type="bibr" rid="B63">Tang et al., 2008</xref>); <bold>Ba</bold>: (<xref ref-type="bibr" rid="B65">Tesoriero and Pankow, 1996</xref>); <bold>Na</bold>: (<xref ref-type="bibr" rid="B11">Busenberg and Plummer, 1985</xref>; <xref ref-type="bibr" rid="B43">Mucci, 1988</xref>); <bold>U</bold>: (<xref ref-type="bibr" rid="B4">Bedzyk and Cheng, 2002</xref>; <xref ref-type="bibr" rid="B75">Weremeichik et al., 2017</xref>)]. Concerning lithium, data indicate that the Li/Ca ratio increases with aragonite precipitation rate (<xref ref-type="bibr" rid="B20">Gabitov et al., 2011</xref>), but, to our knowledge, this effect has not yet been confirmed in calcite. Interestingly, <xref ref-type="bibr" rid="B47">Okumura and Kitano (1986)</xref> observed positive correlations between Li and Mg, and Na and Mg in synthetic calcites, as in the present biogenic calcites. Surprisingly, the case of magnesium, the major cation substituting to Ca in biogenic calcites, remains ambiguous. The amount of Mg incorporated in calcite overgrowth synthesized by <xref ref-type="bibr" rid="B44">Mucci and Morse (1983)</xref> were found to be independent of precipitation rate. On the other hand, <xref ref-type="bibr" rid="B37">Mavromatis et al. (2013)</xref> observed that calcite Mg contents increase with growth rate. Alternatively, <xref ref-type="bibr" rid="B18">Gabitov et al. (2014)</xref> observed an opposite effect between the incorporation of Sr and Mg and concluded that Mg content decreases with calcite increasing growth rate. Thus, the question of the influence of growth kinetics on Mg incorporation in calcite is still pending, even if the positive correlation between Sr and Mg observed in the present study seem to favor the conclusions of <xref ref-type="bibr" rid="B37">Mavromatis et al. (2013)</xref>. The incorporation of anions in calcite has received less attention than the incorporation of cations. According to <xref ref-type="bibr" rid="B11">Busenberg and Plummer (1985)</xref>, the amount of SO<sub>4</sub> (and Na) in calcite is directly related to growth rate. However, this conclusion is contradicted by the findings of <xref ref-type="bibr" rid="B59">Staudt et al. (1994)</xref> who observed that fast growing calcite faces [e.g., (11&#x2013;20) and (01&#x2013;12)] are depleted in SO<sub>4</sub> (and enriched in Mg) relative to slow growing (10&#x2013;14) faces. To our knowledge, this is the only experimental evidence that the incorporation of SO<sub>4</sub> in calcite decreases with precipitation rate. The variations of concentration in <italic>Corallium</italic> species are consistent with most of these experimental data in particular with respect to Sr, Na, U, and Li.</p>
<p><italic>Substitution mechanisms &#x2013;</italic> Substitution mechanisms in biogenic calcite are difficult to identify because of the complexity of the material. However, mechanisms proposed in previous studies can be discussed and new directions of work can be proposed. Pure (or close to pure) carbonate minerals exist for all cations considered here, and combinations between them [CaCO<sub>3</sub>: calcite; MgCO<sub>3</sub>: magnesite; Na<sub>2</sub>CO<sub>3</sub>: natrite; SrCO<sub>3</sub>: strontianite; Li<sub>2</sub>CO<sub>3</sub>: zabuyelite; MnCO<sub>3</sub>: rhodochrosite; BaCO<sub>3</sub>: witherite; PbCO<sub>3</sub>: cerussite; UO<sub>2</sub>(CO<sub>3</sub>): rutherfordine; (CaMg)CO<sub>3</sub>: dolomite; Na<sub>2</sub>Ca (CO<sub>3</sub>)<sub>2</sub>: nyerereite; Na<sub>2</sub>Mg(CO<sub>3</sub>)<sub>2</sub>: eitelite; BaMg(CO<sub>3</sub>)<sub>2</sub>: norsethite; CaMn(CO<sub>3</sub>)<sub>2</sub>: kutnohorite]. Thus, the presence of Mg, Na, Sr, Li, Ba, Pb, and U in various amounts is expected in biogenic carbonates. It has been known for a long time that Mg substitutes to calcium and enters the calcite structure in large amounts (<xref ref-type="bibr" rid="B34">Mackenzie et al., 1983</xref>). <xref ref-type="bibr" rid="B44">Mucci and Morse (1983)</xref> documented a positive Sr-Mg correlation in synthetic inorganic high-Mg calcites, and concluded that the incorporation of Mg in calcite could change the distribution coefficient of Sr. The positive correlation between Mg and Sr was explained by steric effects: a large cation (Sr) compensating the distortion produced in calcite by the introduction of small cation (Mg). The sulfur case is more complicated: it has been demonstrated that sulfur is present as sulfate ions (SO<sub>4</sub><sup>2-</sup>) substituting to carbonate ions (CO<sub>3</sub><sup>2-</sup>) in <italic>Corallium</italic> skeletons (<xref ref-type="bibr" rid="B71">Vielzeuf et al., 2013</xref>; <xref ref-type="bibr" rid="B45">Nguyen et al., 2014</xref>; <xref ref-type="bibr" rid="B62">Tamenori et al., 2014</xref>; <xref ref-type="bibr" rid="B48">Perrin et al., 2017</xref>). One would expect the lattice distortion related to the presence of a large anion (SO<sub>4</sub><sup>2-</sup> larger than CO<sub>3</sub><sup>2-</sup>) to be compensated by the incorporation of a small cation such as Mg. The opposite is observed with a negative correlation between Mg and S. This relationship could result from multicomponent substitutions generating complex interactions with effects difficult to predict. Due to charge balance, the incorporation of Na in calcite is problematic. Nevertheless sodium concentrations in biogenic calcites can reach several thousand &#x03BC;g/g (see the review by <xref ref-type="bibr" rid="B78">Yoshimura et al., 2017</xref>). Different hypothesis for the substitution of Na in calcite have been proposed and have been summarized by these authors:</p>
<list list-type="simple" prefix-word="simple">
<list-item><p>&#x2022; 2 Ca<sup>2+</sup> = 1 Na<sup>+</sup> + Me<sup>3+</sup> (<xref ref-type="bibr" rid="B6">Billings and Ragland, 1968</xref>)</p></list-item>
<list-item><p>&#x2022; Ca<sup>2+</sup> + CO<sub>3</sub><sup>2-</sup> = Na<sup>+</sup> + Cl<sup>-</sup> (<xref ref-type="bibr" rid="B78">Yoshimura et al., 2017</xref>)</p></list-item>
<list-item><p>&#x2022; 2 Ca<sup>2+</sup> = 2 Na<sup>+</sup> + &#x25A1; (CO<sub>3</sub><sup>2-</sup> vacant site) (<xref ref-type="bibr" rid="B76">White, 1977</xref>; <xref ref-type="bibr" rid="B78">Yoshimura et al., 2017</xref>).</p></list-item>
</list>
<p>The first mechanism is unlikely in the <italic>Corallium</italic> case as the concentration of trivalent metals (Me<sup>3+</sup>, e.g., Al<sup>3+</sup>) is considerably lower than the Na concentration. In this type of substitution, lanthanides are often considered potential substituting trivalent cations, but the REE concentrations are too low to retain this mechanism (see <bold>Table <xref ref-type="table" rid="T3">3</xref></bold>). Similar mass balance considerations apply for the second mechanism involving chlorine: according to the measurements carried out on <italic>C. rubrum</italic>, chlorine contents are too low (see <bold>Table <xref ref-type="table" rid="T1">1</xref></bold>). On the basis of synchrotron X-ray spectroscopy, <xref ref-type="bibr" rid="B78">Yoshimura et al. (2017)</xref> favored the third mechanism involving a carbonate vacancy. An alternative hypothesis can be proposed: <xref ref-type="bibr" rid="B77">White (1978)</xref> observed that Na content is higher in biogenic than in inorganic calcites and suggested that the presence of organic molecules in biogenic calcites could be responsible for this difference. A direct association between organic molecules and sodium at the atomic scale was recently demonstrated in biominerals by <xref ref-type="bibr" rid="B10">Branson et al. (2016)</xref>. Bonding between hydrogen (from an organic molecule) and oxygen belonging to carbonate ion at the calcite surface is a potential linking mechanism (<xref ref-type="bibr" rid="B3">Ataman et al., 2016</xref>). Such an interaction could compensate the deficit of charge induced by the incorporation of Na. The substitution mechanism can be tentatively written as:</p>
<disp-formula id="E1"><mml:math id="M1"><mml:mrow><mml:mo mathvariant='normal'>&#x2022;</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant='normal'>C</mml:mi><mml:mi mathvariant='normal'>a</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant='normal'>2</mml:mn><mml:mo mathvariant='normal'>+</mml:mo></mml:mrow></mml:msup><mml:mo mathvariant='normal'>+</mml:mo><mml:msup><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant='normal'>C</mml:mi><mml:mi mathvariant='normal'>O</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant='normal'>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn mathvariant='normal'>2</mml:mn><mml:mo mathvariant='normal'>&#x2212;</mml:mo></mml:mrow></mml:msup><mml:mo mathvariant='normal'> =</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant='normal'>N</mml:mi><mml:mi mathvariant='normal'>a</mml:mi></mml:mrow><mml:mrow><mml:mo mathvariant='normal'>+</mml:mo></mml:mrow></mml:msup><mml:mo mathvariant='normal'>+</mml:mo><mml:msup><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant='normal'>H</mml:mi><mml:mi mathvariant='normal'>C</mml:mi><mml:mi mathvariant='normal'>O</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant='normal'>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo mathvariant='normal'>&#x2212;</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></disp-formula>
<p>where HCO<sub>3</sub><sup>-</sup> would represent the bond between OM and calcite surface via hydrogen bonding. This hypothesis remains to be verified as other possibilities of interaction between OM and calcite surface exist (<xref ref-type="bibr" rid="B35">Mann et al., 1993</xref>; <xref ref-type="bibr" rid="B58">Sommerdijk and de With, 2008</xref>).</p>
<p>The present data underline the importance of U to distinguish fast and slow growing zones. Yet, there is no consensus on the mechanism of incorporation of U in calcite. Indeed, <xref ref-type="bibr" rid="B50">Reeder et al. (2000)</xref> consider that a uranyl unit [UO<sub>2</sub><sup>2+</sup>] is unable to reach a stable structural environment in calcite. On the contrary, <xref ref-type="bibr" rid="B28">Kelly et al. (2003)</xref> consider that uranyl has a stable lattice position in calcite. According to these authors, this substitution would result in a charge excess of +4 around the uranyl site because of the two missing carbonate ions and the substitution mechanism would be: 5Ca<sup>2+</sup> = UO<sub>2</sub><sup>2+</sup> + 4 Na<sup>+</sup>. In biogenic calcite, the presence of large amounts of Na could easily compensate the charge excess around the uranyl group, but the exact substitution mechanism of U remains to be determined.</p>
<p><italic>A conceptual model for Corallium skeleton crystal growth &#x2013;</italic> As a possible scenario for <italic>Corallium</italic> skeleton growth, biogenic Mg calcites would grow extracellularly in a complex organic/inorganic solution with fluctuating compositions, dynamically regulated by the organism. The cations and anions required for the mineralization would be present in the solution (in forms that are not yet determined: possibly including organo-mineral polymers) together with a large variety of organic molecules (<xref ref-type="bibr" rid="B16">Debreuil et al., 2011</xref>), such as polyenic chains, responsible for the precious coral red color (<xref ref-type="bibr" rid="B40">Merlin and Dele-Dubois, 1986</xref>; <xref ref-type="bibr" rid="B9">Brambilla et al., 2012</xref>). As biogenic calcite would grow in the presence of impurities, the most compatible organic molecules would be incorporated on specific crystal faces and would induce defects that would facilitate the incorporation of other impurities (anions or cations) in the crystal (or conversely), in a constant feedback process. Simultaneously, fast crystal growth combined with steric constraints would allow non-equilibrium incorporation of more incompatible elements such as Mg, Sr, Na, Li, and U. Thus, skeleton growth would result from the competition between thermodynamic equilibrium and kinetic effects associated with (1) crystal growth rate, (2) diffusion of elements and molecules in the solution (in this scenario, intracrystalline diffusion is considered negligible), and (3) dynamic renewal (by addition and removal) of the solution by the organism. Interestingly, the concentration of elements and organic molecules not incorporated in biogenic calcite could temporarily accumulate at the growth front and stop the skeleton growth, leading to crystallization pulses at the skeleton surface. A dynamic process of renewal of the solution (global exchange) would alternate with a more static situation during which local exchange between crystal and solution would take place, in a partially closed system. In such a situation, the composition of the solution may evolve depending upon the distribution coefficients of elements into that mineral. This process of Rayleigh fractionation leads to positive correlations between elements with partition coefficients less than 1. Indeed, the correlations between Mg/Ca and Sr/Ca in the ID-ICPMS dataset (<bold>Figure <xref ref-type="fig" rid="F9">9</xref></bold>) could be also explained by a Rayleigh fractionation process where calcite grows from an initial solution of seawater. The Rayleigh fractionation path displayed in <bold>Figure <xref ref-type="fig" rid="F9">9</xref></bold> is based on the following assumptions: (1) the initial calcifying fluid has Sr/Ca and Mg/Ca ratios that are the same as seawater (8.6 mmol/mol and 5.1 mol/mol, respectively); (2) calcite partition coefficients are consistent with the inorganic data of <xref ref-type="bibr" rid="B44">Mucci and Morse (1983)</xref> and <xref ref-type="bibr" rid="B42">Mucci (1986)</xref> (<italic>D</italic><sub>Sr/Ca</sub> = 0.35 and <italic>D</italic><sub>Mg/Ca</sub> = 0.0215). It is of course likely that the calcifying fluid has a different composition than seawater, but we think that these are reasonable assumptions in the absence of direct measurements of the calcifying fluid. The fractionation path shown in <bold>Figure <xref ref-type="fig" rid="F9">9</xref></bold> indicates that the model fits rather well the data. Thus, Rayleigh fractionation could be part of the explanation for observed Mg/Ca vs. Sr/Ca correlations.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption><p>ID-ICPMS data. Comparison of <italic>C. rubrum</italic> sclerites and skeletons. Mg/Ca vs. Sr/Ca. Sclerites: green dots. Skeletons: blue dots. Black dots are from <xref ref-type="bibr" rid="B73">Weinbauer et al. (2000)</xref>. Gray dashed line: Rayleigh fractionation path (see text for explanation); black solid lines: best fitting lines for sclerites and skeletons.</p></caption>
<graphic xlink:href="feart-06-00167-g009.tif"/>
</fig>
<p>Concerning the calcifying fluid, whether ion fluxes between sea water and the surface of calcification occur (1) through tissues by active transcellular transport or by paracellular pathways (i.e., between the cells) (e.g., <xref ref-type="bibr" rid="B61">Tambutt&#x00E9; et al., 2012</xref>; <xref ref-type="bibr" rid="B64">Taubner et al., 2017</xref>), or (2) by direct and rapid seawater transport to the site of calcification (e.g., <xref ref-type="bibr" rid="B5">Bentov et al., 2009</xref>; <xref ref-type="bibr" rid="B21">Gagnon et al., 2012</xref>), is not known. Nevertheless, putting emphasis on kinetic effects, as we do in the present work, implies that calcifying fluids and their mechanisms of formation are similar in fast and slow growing zones. The fact that geochemical trends are identical in the two zones (see for instance <bold>Figures <xref ref-type="fig" rid="F2">2D</xref>&#x2013;<xref ref-type="fig" rid="F2">F</xref></bold>, <bold><xref ref-type="fig" rid="F4">4C,D</xref></bold>, <bold><xref ref-type="fig" rid="F5">5C,D</xref></bold> for the <italic>C. elatius</italic> case) favors a similarity of mechanism of formation of the calcifying fluid. It will be noted that geochemical trends slightly vary from a species to another, possibly indicating some physiological differences of formation of the calcifying fluid in the different species. Contrary to medullar and annular zones, sclerites, and skeletons of <italic>C. rubrum</italic> display separate Mg/Sr trends in <bold>Figure <xref ref-type="fig" rid="F9">9</xref></bold>. In this case, differences of composition between sclerites and skeleton can be tentatively ascribed (at least partly) to differences of calcifying fluid, themselves related to differences of mechanism of formation of the skeleton and the sclerites. Indeed, while the formation of the skeleton takes place extracellularly, the early stages of formation of sclerites take place intracellularly in a primary scleroblast, then in a highly confined extracellular medium formed by only two secondary scleroblasts (<xref ref-type="bibr" rid="B32">Le Goff et al., 2017</xref>).</p>
<p>To conclude, kinetic factors are considered of importance in this study, but they do not exclusively control the chemical variations of precious coral skeletons; indeed, our model represents a possible but not a unique explanation for the data.</p>
<p>The impurity incorporation/repulsion model proposed here is based on the concept of growth entrapment grasped decades ago by <xref ref-type="bibr" rid="B29">Kinsman and Holland (1969)</xref> and popularized by <xref ref-type="bibr" rid="B72">Watson (2004)</xref> who formalized a model to investigate hypothetical calcite growth scenarios. Though originally designed for abiogenic crystals, the growth entrapment model has been invoked to explain variations of concentrations of magnesium in brachiopod calcitic shells (<xref ref-type="bibr" rid="B53">Rollion-Bard et al., 2016</xref>). The present model differs from the growth entrapment model by the facts that (i) incorporation of organic molecules plays a part in the process, (ii) the accumulation of incompatible elements or organic molecules at the growth front may interrupt crystal growth, and induce crystallization pulses, and (iii) biological rhythms inducing dynamic renewal (by addition and removal) of the solution are essential parts of the process.</p>
</sec>
<sec><title>Comparison With Other Fast and Slow Growing Zones in Calcitic and Aragonitic Biominerals</title>
<p>Comparative studies of fast and slow growing zones in <underline>calcitic</underline> biominerals are rare. <xref ref-type="bibr" rid="B66">Th&#x00E9;bault and Chauvaud (2012)</xref> noted that the Li/Ca ratios in the central axis (with faster growth rate) of <italic>Pecten maximus</italic> were higher than around it. These differences are explained by faster daily growth rates in central axis than in lateral ribs. <xref ref-type="bibr" rid="B78">Yoshimura et al. (2017</xref>, their <bold>Figure <xref ref-type="fig" rid="F6">6</xref></bold>) observed a core enriched in Mg and depleted in S in a Japanese precious pink coral, as in <italic>C. rubrum</italic> (<bold>Figure <xref ref-type="fig" rid="F3">3</xref></bold> in <xref ref-type="bibr" rid="B70">Vielzeuf et al., 2008</xref>) confirming that these features are systematic in <italic>Corallium</italic> species (<bold>Figure <xref ref-type="fig" rid="F4">4</xref></bold> in <xref ref-type="bibr" rid="B49">Perrin et al., 2015</xref>). In the calcitic central core of the deep-water bamboo coral <italic>Keratoisis</italic> sp., <xref ref-type="bibr" rid="B57">Sinclair et al. (2011)</xref> observed an enrichment in Ba and Mg; these authors concluded that the central axis of the skeleton may represent a different mode of growth than its periphery. Contrary to biogenic calcites, biogenic aragonites gave rise to numerous comparative studies of fast and slow growing zone. As summarized by <xref ref-type="bibr" rid="B51">Rollion-Bard and Blamart (2015)</xref>, scleractinian coral skeletons made of aragonite are characterized by two types of internal structures: rapid accretion deposits (RADs; <xref ref-type="bibr" rid="B60">Stolarski, 2003</xref>), also referred to as early mineralization zones (EMZs; <xref ref-type="bibr" rid="B14">Cuif et al., 2003</xref>) or centers of calcification (COC; <xref ref-type="bibr" rid="B74">Wells, 1956</xref>), in between thickening deposits (TDs; <xref ref-type="bibr" rid="B60">Stolarski, 2003</xref> &#x2013; also called fibers &#x2013; <xref ref-type="bibr" rid="B46">Ogilvie, 1896</xref>). RAD are enriched in Mg (<xref ref-type="bibr" rid="B38">Meibom et al., 2004</xref>; <xref ref-type="bibr" rid="B39">Meibom et al., 2006</xref>; <xref ref-type="bibr" rid="B22">Gagnon et al., 2007</xref>; <xref ref-type="bibr" rid="B8">Brahmi et al., 2012</xref>; <xref ref-type="bibr" rid="B41">Montagna et al., 2014</xref>; <xref ref-type="bibr" rid="B51">Rollion-Bard and Blamart, 2015</xref>). The status of Sr is not so clear: following <xref ref-type="bibr" rid="B17">Ferrier-Pag&#x00E8;s et al. (2002)</xref>, <xref ref-type="bibr" rid="B38">Meibom et al. (2004)</xref> stated that the Sr uptake is inversely correlated with the rate of calcification in <italic>Pavona clavus</italic>. However, this statement was contradicted by observations on <italic>Colpophyllia</italic> sp. showing that RAD were enriched in Mg, Sr, B, S, and Ba (<xref ref-type="bibr" rid="B39">Meibom et al., 2006</xref>). <xref ref-type="bibr" rid="B13">Case et al. (2010)</xref> and later <xref ref-type="bibr" rid="B41">Montagna et al. (2014)</xref> analyzed a large suite of aragonite coral skeletons and showed that Li and Mg are positively correlated and that RAD are enriched in these two elements. Using three scleractinian corals as models, <xref ref-type="bibr" rid="B51">Rollion-Bard and Blamart (2015)</xref> showed that RAD are enriched in Mg, Na, and Li; they observed a positive correlation between Na and Mg and confirmed the Li/Mg correlation demonstrated by <xref ref-type="bibr" rid="B13">Case et al. (2010)</xref> and <xref ref-type="bibr" rid="B41">Montagna et al. (2014)</xref>. In many of these works, kinetics effects were considered a factor for the preferential incorporation of elements in aragonite, but other mechanisms such as Rayleigh fractionation have also been invoked. Note that, since aragonite and calcite have different crystallographic structure and that structural aspects are of major importance in the incorporation of impurities, the results on aragonite corals, and especially elemental correlation, are difficult to compare with calcitic corals. Nevertheless, the presence of (1) fast and slow growing zones in both hexa- and octocorals, with block and cement mode of growth in the fast growing zone, and layer by layer mode in the slow growing zone (see <xref ref-type="bibr" rid="B26">Gladfelter, 1982</xref>; <xref ref-type="bibr" rid="B49">Perrin et al., 2015</xref>; for hexa- and octocoral growth modes, respectively), and (2) systematic differences in chemical composition between the two types of zones, indicate a possible convergence of factors (including growth rate) influencing the chemistry of calcium carbonates during growth.</p>
</sec>
<sec><title>The Origin of Annual Growth Rings in <italic>C. rubrum</italic></title>
<p>The origin of chemical oscillations in annual growth rings, within the annular zone in <italic>Corallium</italic> skeletons is still unclear. Two facts lead to consider that annual growth rings may result in part from variations of growth rate during the year: (1) the study of <xref ref-type="bibr" rid="B71">Vielzeuf et al. (2013)</xref> demonstrated that the variations of Mg and Sr in the growth rings could not be correlated with sea water temperature; (2) the correlations between elements such as Na-Mg, Na-S, S-Mg, Sr-Mg, Li-Mg, U-Mg follow the same trends in medullar and annular zones. Thus, it is reasonable to consider that fast growth would produce ring portions rich in Mg, Sr, Na, Li, and U, while slow growth would produce the Ca and S-rich portions. <xref ref-type="bibr" rid="B36">Marschal et al. (2004)</xref> conducted a series of experiments to determine the period of the year during which OM-rich bands develop in <italic>C. rubrum</italic>. Twelve colonies collected at 15 m depth were labeled with calcein in November 2001, March, and July 2002. Nine colonies were recovered December 2002, about a year after the first labeling. These colonies showed that late fall and winter is the period during which the narrow OM-rich band develops. <xref ref-type="bibr" rid="B36">Marschal et al. (2004)</xref> also concluded that late fall and winter is the period with the lowest growth rates in <italic>C. rubrum</italic>. Combining these observations with their own data, <xref ref-type="bibr" rid="B71">Vielzeuf et al. (2013)</xref> showed that Mg-rich rings develop during the period spring to fall while S-rich rings form immediately after (late fall and winter). The situation of sulfur in the skeleton is particularly difficult to understand and deserves further consideration. <xref ref-type="bibr" rid="B71">Vielzeuf et al. (2013)</xref> showed two types of spatial anti-correlations: OM and Mg, Mg and S, with the consequence that OM and S are correlated. A logical conclusion would be to consider that S is present in the OM. However, <xref ref-type="bibr" rid="B71">Vielzeuf et al. (2013)</xref> pointed out that OM could not contain the measured amounts of S and thus, that important portion had to be present as structurally substituted sulfate in calcite. This hypothesis was verified by <xref ref-type="bibr" rid="B45">Nguyen et al. (2014)</xref>, <xref ref-type="bibr" rid="B62">Tamenori et al. (2014)</xref>, and <xref ref-type="bibr" rid="B48">Perrin et al. (2017)</xref>, who performed XANES studies on <italic>C. elatius</italic>, <italic>C. japonicum</italic>, and <italic>C. rubrum</italic> skeletons, respectively. The three studies demonstrated that S is mainly present as SO<sub>4</sub><sup>2-</sup> and incorporated as sulfur structurally substituted to carbonate (SSS &#x2013; synonymous of carbonate associated sulfate &#x2013; CAS). Thus, the most plausible hypothesis to explain the observed positive correlation between S and OM in <italic>C. rubrum</italic> is to consider that OM-rich rings are also made of calcite rich in structurally substituted sulfate. This conclusion is consistent with the hypothesis discussed earlier that S-rich calcite and OM-rich rings are indicative of slow growth rates. Concerning the medullar zone, the facts that no obvious periodic chemical oscillations is observed (at least so far) along the branch axis (e.g., <bold>Figures <xref ref-type="fig" rid="F6">6j</xref>&#x2013;<xref ref-type="fig" rid="F6">l</xref></bold>) and that the medullar zone is systematically poorer in S and richer in Mg than the annular zone indicate that the medullar axial growth is discontinuous in time and happens preferentially during the period spring to fall. Due to similarity of growth processes (<xref ref-type="bibr" rid="B49">Perrin et al., 2015</xref>), we can reasonably hypothesize that the considerations on the origin of growth rings in <italic>C. rubrum</italic> apply to other <italic>Corallium</italic> species.</p>
</sec>
<sec><title>Implication for the Use of Proxies in <italic>Corallium</italic> Species</title>
<p>The present study reiterates the idea that the incorporation of ions during crystal growth depends in part on growth kinetics (<xref ref-type="bibr" rid="B33">Lorens, 1981</xref>; <xref ref-type="bibr" rid="B59">Staudt et al., 1994</xref>). However, it should be kept in mind that growth kinetics is not an independent variable as it is affected by the organism biological activity which is itself dependent on environmental parameters such as temperature, pH, salinity, nutrient supply, etc. (<xref ref-type="bibr" rid="B56">Shinn, 1966</xref>). In the case of <italic>C. rubrum</italic>, the fact that fast growth happens during the hottest period of the year (spring to fall) is an indication of a temperature and growth interdependence. But this relation is complex and complicated by the thermo-tolerance of the organism: indeed, experiments carried out in aquaria showed that calcification rates of <italic>C. rubrum</italic> decrease above 21&#x00B0;C and that exposure to 25&#x00B0;C for durations between 9 and 14 days causes mortality of most samples (<xref ref-type="bibr" rid="B67">Torrents et al., 2008</xref>). Most elements discussed in this study (Mg, Sr, Na, Li, Ba, U) have been considered as environmental proxies in calcitic biominerals [<bold>Mg</bold>: (<xref ref-type="bibr" rid="B54">Rosenthal et al., 1997</xref>), <bold>Sr</bold>: (<xref ref-type="bibr" rid="B81">Yu et al., 2014</xref>), <bold>Na</bold>: (<xref ref-type="bibr" rid="B78">Yoshimura et al., 2017</xref>), <bold>Li</bold>: (<xref ref-type="bibr" rid="B66">Th&#x00E9;bault and Chauvaud, 2012</xref>), <bold>Ba</bold>: (<xref ref-type="bibr" rid="B80">Yoshimura et al., 2015</xref>), <bold>U</bold>: (<xref ref-type="bibr" rid="B80">Yoshimura et al., 2015</xref>) and references therein]. Thus, the influence of environmental parameters cannot be discarded in the <italic>Corallium</italic> case.</p>
<p>If kinetics seems to play a role in the incorporation of Mg, Na, Sr, Li, and U, it does not affect barium and lead as these two elements have similar contents in fast and slow growing zones. These features are indications that their concentrations could reflect the concentrations and fluctuations with space and time of Ba and Pb in the seawater. This conclusion is in agreement with observations obtained on the Bamboo coral, and the statement that in this species external environmental conditions control the skeletal Ba incorporation in calcite rather than internal biological effects (<xref ref-type="bibr" rid="B31">LaVigne et al., 2011</xref>). As seen above, the barium content is higher in the Mediterranean <italic>C. rubrum</italic> than in the Pacific <italic>C. japonicum</italic> (<bold>Figure <xref ref-type="fig" rid="F3">3</xref></bold>) which makes the absolute value of Ba a good criterion to identify the two species (for instance in past or present day jewels or traded corals). <xref ref-type="bibr" rid="B27">Hasegawa et al. (2012)</xref> indicated that the Ba/Ca ratio could be used to determine the geographic origin of <italic>Corallium</italic> species. However, <xref ref-type="bibr" rid="B80">Yoshimura et al. (2015)</xref> showed that the Ba content of Japanese corals increases at ocean depths beneath about 300 m, to reach values close to those of the Mediterranean coral. Thus, deep Japanese coral could have similar Ba contents than near surface Mediterranean corals. The change of Ba content with depth might explain the range of Ba concentrations in the three studied Pacific coral species observed in <bold>Figure <xref ref-type="fig" rid="F3">3B</xref></bold>. Thus, the Ba identification criterion alone might not be sufficient to discriminate Mediterranean and Pacific corals. We showed above that lead contents in Mediterranean corals are higher than in their Pacific counterparts. Here again, no difference of concentration of Pb was observed between medullar fast growing and annular slow growing zones in <italic>C. rubrum</italic>, and <italic>C. japonicum</italic>, nor between skeleton, tips and sclerites in <italic>C. rubrum</italic>, meaning that kinetics may not play an important role in the incorporation of Pb in biogenic calcites. To summarize, as a first simple criterion, Ba and Pb contents higher than 6 and 0.2 &#x03BC;g/g, respectively, in a red precious coral of unknown origin can be considered indicative of a Mediterranean origin of the sample (<bold>Figure <xref ref-type="fig" rid="F3">3</xref></bold>).</p>
</sec>
</sec>
<sec><title>Conclusion</title>
<p>Emphasis on crystal growth kinetics or environmental parameters to explain biogenic calcite compositions should not hide the bigger picture. The fact that the mean magnesium contents of calcitic biominerals growing in similar environments vary from a species to another between 0 and &#x223C;30 mol% MgCO<sub>3</sub> cannot be ascribed to growth kinetics, nor environmental parameters. Genetic coding and physiology of each species are obviously of primary importance. Here, we are just evaluating the narrower and more tractable question of whether the variability of composition around the mean concentrations of a given species is consistent or not with kinetic effects. It is well known that living processes occur away from equilibrium. Biominerals produced by living organisms are no exception. Crystallographic hierarchical structures, chemical heterogeneities and complex morphologies are unambiguous indications that biominerals do not simply follow free energy minimization principles. Their construction under the influence of organisms involves a variety of biological, chemical and physical periodic processes. Some like biological factors, growth kinetics, periodic renewal/removal of the solution, and environmental changes may drive biogenic calcites away from global equilibrium, while others such as crystallization, Rayleigh fractionation, or diffusion in the solution, push them toward it. The role of each process probably changes from a species to another, and even within a single organism depending on the period of the year and the location of calcification within the organism. Identifying the implication of each process in <italic>Corallium</italic> chemical variability and understanding skeleton growth dynamics are difficult goals to achieve but remain necessary steps for environmental applications.</p>
</sec>
<sec><title>Author Contributions</title>
<p>DV and NF conceived the project. DV, J-LD, and JP collected the EMP data. DV, AR, J-LD, NY, and JP collected LA-ICPMS data. DV prepared the samples. AG collected the ID-ICPMS data. CF, DV, and JP collected OEA data. JG collected and supplied some samples from the Mediterranean. CB-H provided rare samples from her personal collection. J-MM performed the statistical analysis of the data. All authors participated to the interpretation of the data. DV wrote the first draft of the manuscript and all authors participated in the subsequent stages of preparation of the manuscript.</p>
</sec>
<sec><title>Conflict of Interest Statement</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
</body>
<back>
<fn-group>
<fn fn-type="financial-disclosure">
<p><bold>Funding.</bold> This work has been supported by the Centre National de la Recherche Scientifique (CNRS), by the Institut National des Sciences de l&#x2019;Univers (INSU) through grant INTERRVIE 2017 to DV, by the Agence Nationale pour la Recherche (ANR) through ANR CoRo 2011-2015, by the Centre Interdisciplinaire de Nanoscience de Marseille (CINaM) through internal grants, and by the European Union COST action TD0903. This study benefited from the generosity of numerous contributors who supplied rare samples.</p>
</fn>
</fn-group>
<ack>
<p>We thank P. Raffin, J. G. Harmelin, and C. Marschal for providing <italic>C. rubrum</italic> colonies from various places in the Mediterranean. Samples of <italic>C. japonicum</italic>, <italic>C. elatius</italic>, and <italic>C. konojoi</italic> were kindly provided by S. Tambutt&#x00E9; from Centre Scientifique of Monaco, and G. Tanaka from the Precious Coral Protection and Development Association. We also thank K. Saiki from Osaka University for initiating the fruitful exchange with G. Tanaka. Rare specimens of <italic>C. johnsoni</italic> and <italic>C. niobe</italic> were provided by F. J. de Mora Porteiro from the Department of Oceanography and Fisheries, University of the Azores. Finally, we are grateful to P. Lozouet, C. Dupoux, P. Joannot, and A. Andouche from the Museum National d&#x2019;Histoire Naturelle, Paris (MNHN) for providing the paratype of <italic>P. thrinax</italic> (MNHN-Oct-243). Comments by Rinat Gabitov, Thomas DeCarlo, and Hans Dahms as well as efficient editorial handling by KB are gratefully acknowledged. This is contribution ANR CoRo n&#x00B0; 11.</p>
</ack>
<sec sec-type="supplementary material">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/feart.2018.00167/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/feart.2018.00167/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.PDF" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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