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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2017.00309</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Changes in the Number of Symbionts and <italic>Symbiodinium</italic> Cell Pigmentation Modulate Differentially Coral Light Absorption and Photosynthetic Performance</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Scheufen</surname> <given-names>Tim</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/436781/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Iglesias-Prieto</surname> <given-names>Roberto</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/155825/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Enr&#x000ED;quez</surname> <given-names>Susana</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/113346/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Unidad Acad&#x000E9;mica de Sistemas Arrecifales Puerto Morelos, Universidad Nacional Aut&#x000F3;noma de M&#x000E9;xico</institution>, <addr-line>Cancun</addr-line>, <country>Mexico</country></aff>
<aff id="aff2"><sup>2</sup><institution>Posgrado de Ciencias del Mar y Limnolog&#x000ED;a of the Universidad Nacional Aut&#x000F3;noma de M&#x000E9;xico</institution>, <addr-line>Mexico City</addr-line>, <country>Mexico</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Biology, The Pennsylvania State University</institution>, <addr-line>University Park, PA</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Daniel Wangpraseurt, University of Cambridge, United Kingdom</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Ross Cunning, Hawaii University, United States; Noga Stambler, Bar-Ilan University, Israel</p></fn>
<fn fn-type="corresp" id="fn001"><p>&#x0002A;Correspondence: Susana Enr&#x000ED;quez <email>enriquez&#x00040;cmarl.unam.mx</email>; <email>susana.enriquezdominguez&#x00040;gmail.com</email></p></fn>
<fn fn-type="other" id="fn002"><p>This article was submitted to Coral Reef Research, a section of the journal Frontiers in Marine Science</p></fn></author-notes>
<pub-date pub-type="epub">
<day>26</day>
<month>09</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="collection">
<year>2017</year>
</pub-date>
<volume>4</volume>
<elocation-id>309</elocation-id>
<history>
<date date-type="received">
<day>03</day>
<month>05</month>
<year>2017</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>09</month>
<year>2017</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2017 Scheufen, Iglesias-Prieto and Enr&#x000ED;quez.</copyright-statement>
<copyright-year>2017</copyright-year>
<copyright-holder>Scheufen, Iglesias-Prieto and Enr&#x000ED;quez</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract><p>In order to understand the contribution of pigmented coral tissues to the extraordinary optical properties of the coral-symbiont-skeleton unit, we analyzed the associations between structural and optical traits for four coral species, which broadly differ in skeleton morphology, tissue thickness and in the variation of coral pigmentation, symbiont content, <italic>Symbiodinium</italic> dominant type and <italic>Symbiodinium</italic> cell pigmentation (Ci). Significant differences among species were found for the maximum capacity of light absorption (A<sub>max</sub>) and for the minimum pigmentation required to reach that maximum. The meandroid morphotype represented by <italic>Pseudodiploria strigosa</italic> showed a slightly lower A<sub>max</sub> than the other three chalice-type species, while the thickest species, <italic>Montastraea cavernosa</italic>, required 2&#x02013;3.5 times higher pigmentation to reach A<sub>max</sub>. In contrast, <italic>Orbicella faveolata</italic> and <italic>Orbicella annularis</italic>, which were able to harbor high number of symbionts and achieve the highest photosynthetic rates per area, showed the largest abilities for light collection at decreasing symbiont densities, leading to a more fragile photophysiological condition under light and heat-stress. Holobiont photosynthesis was more dependent on <italic>Symbiodinium</italic> performance in the less populated organisms. At reduced pigmentation, we observed a similar non-linear increase in holobiont light absorption efficiency (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>), which was differentially modulated by reductions in the number of symbionts and <italic>Symbiodinium</italic> Ci. For similar pigmentation, larger symbiont losses relative to Ci declines resulted in smaller increases in a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>. Two additional optical traits were used to characterize light absorption efficiency of <italic>Symbiodinium</italic> (a<sup>&#x0002A;</sup><sub>sym</sub>) and coral host (a<sup>&#x0002A;</sup><sub>M</sub>). Optimization of a<sup>&#x0002A;</sup><sub>sym</sub> was well represented by <italic>P. strigosa</italic>, whereas a<sup>&#x0002A;</sup><sub>M</sub> was better optimized by <italic>O. annularis</italic>. The species with the largest symbiont content, <italic>O. faveolata</italic>, and with the thickest tissues, <italic>M. cavernosa</italic>, represented, respectively, less efficient solutions for both coral traits. Our comparison demonstrates the utility of optical traits to characterize inter-specific differences in coral acclimatization and performance. Furthermore, holobiont light absorption efficiency (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>) appeared as a better proxy for the &#x0201C;bleached phenotype&#x0201D; than simple reductions in coral color. The analysis of a putative coordinated variation in the number of symbionts and in <italic>Symbiodinium</italic> cell pigmentation deserves special attention to understand holobiont optimization of energy collection (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>) and photosynthetic performance.</p></abstract>
<kwd-group>
<kwd>light absorption</kwd>
<kwd>scleractinian coral</kwd>
<kwd>symbiont population</kwd>
<kwd>symbiont cell pigmentation</kwd>
<kwd>optical traits</kwd>
</kwd-group>
<contract-num rid="cn001">129880</contract-num>
<contract-num rid="cn002">IN206710</contract-num>
<contract-num rid="cn003">PFP7-FORCE-244161</contract-num>
<contract-sponsor id="cn001">Consejo Nacional de Ciencia y Tecnolog&#x000ED;a<named-content content-type="fundref-id">10.13039/501100003141</named-content></contract-sponsor>
<contract-sponsor id="cn002">Direcci&#x000F3;n General de Asuntos del Personal Acad&#x000E9;mico, Universidad Nacional Aut&#x000F3;noma de M&#x000E9;xico<named-content content-type="fundref-id">10.13039/501100006087</named-content></contract-sponsor>
<contract-sponsor id="cn003">Seventh Framework Programme<named-content content-type="fundref-id">10.13039/501100004963</named-content></contract-sponsor>
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<table-count count="4"/>
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<ref-count count="74"/>
<page-count count="16"/>
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</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>The maintenance of a healthy mutualistic endosymbiosis between a simple animal and an unicellular photoautotroph in the genus <italic>Symbiodinium</italic> is one of the cornerstones for the construction and maintenance of coral reefs. The solar energy that drives coral photosynthesis is collected by the photosynthetic apparatus of the symbionts and transformed efficiently into organic carbon. Photosynthates translocated to the host have been recognized as a major source of the energy that supports coral metabolism (Muscatine et al., <xref ref-type="bibr" rid="B51">1981</xref>) and calcification rates (Pearse and Muscatine, <xref ref-type="bibr" rid="B52">1971</xref>; Colombo-Pallotta et al., <xref ref-type="bibr" rid="B11">2010</xref>). Therefore, any reduction in the production and translocation of photosynthates to the coral host will affect coral performance and growth. This places the photosynthetic activity of the symbionts at the center of the cellular processes that regulate coral performance. Furthermore, coral photosynthesis is directly affected by symbiosis instability under elevated temperatures (heat stress), but specially when this ancient and successful symbiosis collapses (coral bleaching). Therefore, coral bleaching not only results in severe losses in coral pigmentation and symbionts, but also in the generation of a dysfunctional holobiont. Such dysfunctional condition is expressed in a massive loss of symbionts and pigmentation (Weis, <xref ref-type="bibr" rid="B72">2008</xref>), but also in the full suppression of coral photosynthesis (Scheufen et al., <xref ref-type="bibr" rid="B58">2017</xref>). Anomalous seawater temperatures associated with global warming have been identified as the primary cause of mass coral bleaching events (Hoegh-Guldberg, <xref ref-type="bibr" rid="B32">1999</xref>; Lesser and Farrell, <xref ref-type="bibr" rid="B46">2004</xref>; Smith et al., <xref ref-type="bibr" rid="B60">2005</xref>). Other environmental stressors like anomalous light increases, anomalous low temperatures, diseases, changes in salinity, etc., can also cause coral bleaching (i.e., Glynn, <xref ref-type="bibr" rid="B30">1996</xref>; Lesser, <xref ref-type="bibr" rid="B45">1996</xref>; Hoegh-Guldberg, <xref ref-type="bibr" rid="B32">1999</xref>; Brown et al., <xref ref-type="bibr" rid="B7">2000</xref>; Hoegh-Guldberg et al., <xref ref-type="bibr" rid="B33">2005</xref>; Kemp et al., <xref ref-type="bibr" rid="B39">2011</xref>).</p>
<p>Changes in coral pigmentation, however, are also related to seasonal variation in the number of symbionts (Fagoonee et al., <xref ref-type="bibr" rid="B23">1999</xref>; Fitt et al., <xref ref-type="bibr" rid="B26">2000</xref>) and/or in symbiont cell pigmentation (Brown et al., <xref ref-type="bibr" rid="B6">1999</xref>; Fitt et al., <xref ref-type="bibr" rid="B26">2000</xref>). Reductions in symbiont number are preferentially associated with increases in seawater temperature (e.g., Brown et al., <xref ref-type="bibr" rid="B6">1999</xref>; Fagoonee et al., <xref ref-type="bibr" rid="B23">1999</xref>; Fitt et al., <xref ref-type="bibr" rid="B26">2000</xref>; Scheufen et al., <xref ref-type="bibr" rid="B58">2017</xref>) while higher nutrient availability may better explain increases in symbiont density (Dubinsky et al., <xref ref-type="bibr" rid="B15">1990</xref>; Stimson and Kinzie, <xref ref-type="bibr" rid="B62">1991</xref>; Brown et al., <xref ref-type="bibr" rid="B6">1999</xref>; Ferrier-Pag&#x000E8;s et al., <xref ref-type="bibr" rid="B25">2001</xref>). Reductions in coral pigmentation often occur during acclimation to high-light conditions (Falkowski and Dubinsky, <xref ref-type="bibr" rid="B24">1981</xref>; Iglesias-Prieto and Trench, <xref ref-type="bibr" rid="B34">1994</xref>; Hennige et al., <xref ref-type="bibr" rid="B31">2009</xref>). Therefore, changes in coral pigmentation not only reflect symbiosis instability, but holobiont acclimatization to seasonal changes or variable environmental conditions.</p>
<p>The variability displayed by a single colony in the number of symbionts, in <italic>Symbiodinium</italic> cell pigmentation, and in the dominant symbiont type (Brown et al., <xref ref-type="bibr" rid="B7">2000</xref>; Kemp et al., <xref ref-type="bibr" rid="B38">2014</xref>) can be as large as inter-specific variation (Brown et al., <xref ref-type="bibr" rid="B6">1999</xref>). However, although species that present low variation in the dominant <italic>Symbiodinium</italic> type, do display large changes in coral pigmentation and symbiont content, little attention has received the analysis of this variation and its functional meaning for coral performance. By contrast, a significant effort has been invested in the analysis of changes in the dominant symbiont type and coral susceptibility to bleach (e.g., Savage et al., <xref ref-type="bibr" rid="B57">2002</xref>; Baker, <xref ref-type="bibr" rid="B2">2004</xref>; Tchernov et al., <xref ref-type="bibr" rid="B65">2004</xref>; Berkelmans and van Oppen, <xref ref-type="bibr" rid="B4">2006</xref>; Kemp et al., <xref ref-type="bibr" rid="B37">2006</xref>; Robison and Warner, <xref ref-type="bibr" rid="B55">2006</xref>; Warner et al., <xref ref-type="bibr" rid="B71">2006</xref>; Suggett et al., <xref ref-type="bibr" rid="B64">2008</xref>; Fitt et al., <xref ref-type="bibr" rid="B27">2009</xref>; Pettay et al., <xref ref-type="bibr" rid="B53">2015</xref>). Interestingly, species that have shown low mortality rates during massive bleaching events, also had higher symbiont content per area (Stimson et al., <xref ref-type="bibr" rid="B63">2002</xref>).</p>
<p>Changes in coral pigmentation directly affect the amount of solar energy absorbed by the symbiotic algae and potentially used in photosynthesis. Scleractinian corals have been recognized as one of the most efficient solar energy collectors (Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B21">2005</xref>) and users of this energy through photosynthesis (Rodr&#x000ED;guez-Rom&#x000E1;n et al., <xref ref-type="bibr" rid="B56">2006</xref>), thanks to multiple scattering of light on coral carbonate skeletons. The extraordinary optical properties of scleractinian corals vary among skeleton morphologies (Ter&#x000E1;n et al., <xref ref-type="bibr" rid="B66">2010</xref>; Marcelino et al., <xref ref-type="bibr" rid="B48">2013</xref>; Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B20">2017</xref>), colony growth-forms (Anthony et al., <xref ref-type="bibr" rid="B1">2005</xref>; Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B20">2017</xref>), coral pigmentation (Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B21">2005</xref>; Wangpraseurt et al., <xref ref-type="bibr" rid="B70">2012</xref>), and differences among symbionts in their chlorophyll-specific absorption coefficient, a<sup>&#x0002A;</sup> (Wyman et al., <xref ref-type="bibr" rid="B74">1987</xref>; Dubinsky et al., <xref ref-type="bibr" rid="B15">1990</xref>; Lesser et al., <xref ref-type="bibr" rid="B44">2000</xref>; Stambler and Dubinsky, <xref ref-type="bibr" rid="B61">2005</xref>; Hennige et al., <xref ref-type="bibr" rid="B31">2009</xref>). However, our understanding of the association between changes in coral pigmentation and absorptance (i.e., fraction of incident light absorbed by the photosynthetic apparatus of <italic>Symbiodinium</italic>) is still insufficient. Only one study has documented so far this association for the species <italic>Porites branneri</italic> (Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B21">2005</xref>). In that study, the authors reported that the maximum capacity of light absorption of <italic>P. branneri</italic> (A<sub>max</sub> &#x0003D; &#x0007E;93%) is already achieved at 20 mg Chl<italic>a</italic> m<sup>&#x02212;2</sup>, a value far below estimations for terrestrial leaves (e.g., Carter and Knapp, <xref ref-type="bibr" rid="B9">2001</xref>; Davis et al., <xref ref-type="bibr" rid="B12">2011</xref>) and submerged macrophytes (Frost-Christensen and Sand-Jensen, <xref ref-type="bibr" rid="B29">1992</xref>; Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B18">1994</xref>). How variable is the maximum capacity of light absorption (i.e., absorptance) among coral species, and how variable is the minimum amount of coral pigmentation required to reach that maximum, remains still uncertain.</p>
<p>The aim of this study was to contribute to fill this gap of knowledge through the characterization of the optical properties of four coral species, <italic>Orbicella annularis, Orbicella faveolata, Montastraea cavernosa</italic>, and <italic>Pseudodiploria strigosa</italic>, which widely differ in their skeleton morphology, tissue thickness and in the species plasticity for changing coral pigmentation, symbiont content, <italic>Symbiodinium</italic> dominant type and <italic>Symbiodinium</italic> cell pigmentation (Ci) and size (cell diameter). A second objective of this analysis was to elucidate potential differences between the number of symbionts (&#x00023; symbionts cm<sup>&#x02212;2</sup>) and <italic>Symbiodinium</italic> pigmentation (Ci, pg Chl<italic>a</italic> sym<sup>&#x02212;1</sup>), in their direct effects on holobiont optical properties. The data set analyzed corresponds to data from a recent study by Scheufen et al. (<xref ref-type="bibr" rid="B58">2017</xref>), who performed two experiments, one in March 2011 and the other in October 2011, and we also included unpublished data from a third experiment performed in June 2012 on the same four species and coral populations from the reef lagoon of Puerto Morelos (Mexican Caribbean). Scheufen et al. (<xref ref-type="bibr" rid="B58">2017</xref>) investigated differences in the thermal sensitivity of two seasonal coral phenotypes, winter and summer, of these four Caribbean species. Experimental corals were exposed to three temperature treatments (control, &#x0002B;2 and &#x0002B;4&#x000B0;C). The interest of the present comparison was also to test if changes in holobiont optical properties can contribute to explain the functional significance of the seasonal coral phenotypes documented by Scheufen et al. (<xref ref-type="bibr" rid="B58">2017</xref>). These authors reported for the winter coral condition, holobionts with reduced photosynthetic rates per area, per symbiont and per mass. In summer, however, corals generally increase their photosynthetic productivity and calcification rates (Barnes and Lough, <xref ref-type="bibr" rid="B3">1989</xref>; Scheufen et al., <xref ref-type="bibr" rid="B58">2017</xref>), producing holobionts with reduced number of symbionts per area but more pigmented cells (Brown et al., <xref ref-type="bibr" rid="B6">1999</xref>; Fitt et al., <xref ref-type="bibr" rid="B26">2000</xref>; Scheufen et al., <xref ref-type="bibr" rid="B58">2017</xref>). Thus, this comparison analyses variation among four coral species and two seasonal phenotypes in optical and structural traits, but also in gross photosynthesis, as well as changes associated with experimental exposures to heat-stress.</p>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and methods</title>
<sec>
<title>Skeleton characteristics</title>
<p>Coral skeleton macrostructure differs significantly among the four species (Figure <xref ref-type="fig" rid="F1">1</xref>), except for <italic>O. annularis</italic> and <italic>O. faveolata</italic>, which showed small but significant differences at micro-scale level, as <italic>O. faveolta</italic> has thinner septa (cf. Budd and Klaus, <xref ref-type="bibr" rid="B8">2001</xref>). The three chalice-type species, <italic>M. cavernosa, O. faveolata</italic>, and <italic>O. annularis</italic>, present middle-sized corallites (&#x0003C;4 and &#x0003C;15 mm diameter), significantly smaller for both <italic>Orbicella</italic> spp. (Figure <xref ref-type="fig" rid="F1">1</xref>), and a slightly plocoid morphology with irregular presence of coenosteum. <italic>P. strigosa</italic> is the only species with a meandroid morphology, characterized by a distribution of septa as parallel lines running over the walls (Figure <xref ref-type="fig" rid="F1">1</xref>).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Images of coral skeletons for <bold>(A)</bold> <italic>Orbicella annularis</italic>, <bold>(B)</bold> <italic>Orbicella faveolata</italic>, <bold>(C)</bold> <italic>Montastraea cavernosa</italic>, and <bold>(D)</bold> <italic>Pseudodiploria strigosa</italic>. The inserts in <bold>(A,B)</bold> show a close-up of the calyx structure of <italic>O. annularis</italic> and <italic>O. faveolata</italic>, respectively. The scale bar in each panel is 1 cm.</p></caption>
<graphic xlink:href="fmars-04-00309-g0001.tif"/>
</fig>
</sec>
<sec>
<title>Sample collection</title>
<p>The data-set analyzed was generated as part of a series of heat-stress experiments conducted during 2011 and 2012, to investigate the differential sensitivity of Caribbean coral reef builders to global warming. The methodology employed for the determinations of the different parameters analyzed in this comparison, as well as for the experimental treatments that induced the variability investigated, is extensively described in Scheufen et al. (<xref ref-type="bibr" rid="B58">2017</xref>). See Supplementary Table <xref ref-type="supplementary-material" rid="SM1">1</xref> for number of samples of each parameter and species. Experimental organisms were obtained from three different colonies of <italic>O. annularis, O. faveolata, M. cavernosa</italic>, and <italic>P. strigosa</italic> collected by Scuba diving at a depth of 5 m in the same sites of the lagoon of Puerto Morelos (Mexico), on February 23rd and September 8th 2011, as well as on May 14th 2012. Coral pieces were cut into equally sized explants of ca. 10 cm<sup>2</sup>, and fixed to PVC plates using non-toxic underwater epoxy (Z-Spar Splash Zone, A&#x02013;788). These experimental nubbins were returned back to the reef lagoon for full recovery, where they were placed on tables at 5 m depth, located near the back-reef. After 15 days, the organisms were transported back to the UNAM mesocoms tank system, where they were distributed over three outdoor 152 L tanks equipped with running seawater. The temperature of the water was maintained at 28&#x000B0;C using commercial aquaria heaters (Process Technology, USA) located in the header tanks and connected to thermocouple sensors (J type, TEI Ingenier&#x000ED;a, Mexico).</p>
</sec>
<sec>
<title>Definition of the different coral phenotypes used in this comparison</title>
<p>Corals exposed to control conditions (28&#x000B0;C) represent the &#x0201C;unstressed&#x0201D; phenotypes developed by the experimental organisms in the mesocosms facilities of the UNAM. These corals were collected at 5 m depth and at three different seasons (February, May, and September) in the reef lagoon of Puerto Morelos. Heat-stress was induced exposing corals to 30&#x000B0;C (&#x0002B;2&#x000B0;C) and 32&#x000B0;C (&#x0002B;4&#x000B0;C). The maximum photochemical efficiency of photosystem II, <italic>F</italic><sub><italic>v</italic></sub><italic>/F</italic><sub><italic>m</italic></sub>, was monitored daily at dusk using a diving PAM fluorometer (Heinz-Walz GmbH, Germany; see Scheufen et al., <xref ref-type="bibr" rid="B58">2017</xref> for details). As local MMM &#x0003D; 30&#x000B0;C, control corals exposed to 30&#x000B0;C in September did not experience any negative effect of the heat-stress treatment on <italic>F</italic><sub><italic>v</italic></sub><italic>/F</italic><sub><italic>m</italic></sub> (cf., Scheufen et al., <xref ref-type="bibr" rid="B58">2017</xref>). Therefore, only when significant changes in <italic>F</italic><sub><italic>v</italic></sub><italic>/F</italic><sub><italic>m</italic></sub> were observed between control and heat-stressed samples, we considered that corals had expressed the &#x0201C;heat-stressed&#x0201D; phenotypes. As concluded by Scheufen et al. (<xref ref-type="bibr" rid="B58">2017</xref>), only when the heat-stressed corals showed gross photosynthesis values not significantly different from 0, we considered that corals had achieved the &#x0201C;bleached&#x0201D; phenotype.</p>
</sec>
<sec>
<title>Chlorophyll <italic>a</italic> and symbiont determinations</title>
<p>Chlorophyll <italic>a</italic> and symbiont extractions were performed by airbrushing coral samples with filtered seawater (0.45 &#x003BC;m) and subsequent homogenization of coral tissue slurries with a tissue homogeniser (T 10 basic Ultra-Turrax, IKA). Symbiont samples were preserved adding 200 &#x003BC;l of iodine (Lugol), until symbiont cells were counted in a hemocytometer. Pigment extraction was performed in acetone/dimethyl sulfoxide (95:5, vol/vol). For the calculation of the final chlorophyll <italic>a</italic> density, we used the equations for dinoflagellates provided by Jeffrey and Humphrey (<xref ref-type="bibr" rid="B36">1975</xref>). Protein content was also estimated spectrophotometrically (Ocean Optics USB 4000 spectroradiometer, Ocean Optics Ltd, FL), using the equation of Whitaker and Granum (<xref ref-type="bibr" rid="B73">1980</xref>). Coral surface area was determined by covering the cleaned coral skeletons with aluminum foil following the method of Marsh (<xref ref-type="bibr" rid="B49">1970</xref>).</p>
</sec>
<sec>
<title>Reflectance and absorptance determinations</title>
<p>Coral reflectance (R) was measured according to Enr&#x000ED;quez et al. (<xref ref-type="bibr" rid="B21">2005</xref>) and V&#x000E1;squez-Elizondo et al. (<xref ref-type="bibr" rid="B67">2017</xref>). Samples were placed in a black container filled with filtered seawater and illuminated with homogeneous diffuse light. This illumination was provided from reflected light from a semi-sphere coated with barium oxide (BaO) and placed above the sample and the black container. The semi-sphere was illuminated from below using a submersible LED ring placed around the coral sample inside the container, and enriched with halogen lamps and violet-blue LEDs illumination. Both illumination enrichments allowed enhancing the light reflected by the semi-sphere in, respectively, red-infrared and violet-blue light. Reflected light was collected by placing a 2 mm diameter fiber-optics over the surface of the sample at an angle of 45&#x000B0; and a distance of 1 cm from the coral surface. Measurements were performed between 400 and 750 nm using an Ocean Optics USB 4000 spectroradiometer (Ocean Optics Ltd, FL), averaging 10 scans per measurement with a boxcar width of 1.4 nm and a resolution of 0.2 nm. For calibration, we used bleached coral skeletons of the respective species. Figures <xref ref-type="fig" rid="F2">2A&#x02013;D</xref> shows reflectance spectra for each coral species together with the variability characterized for the unstressed, and for the stressed and bleached samples. Estimated absorbance spectra (Figures <xref ref-type="fig" rid="F2">2E&#x02013;H</xref>) according to Shibata (<xref ref-type="bibr" rid="B59">1969</xref>) and Enr&#x000ED;quez et al. (<xref ref-type="bibr" rid="B21">2005</xref>), were also calculated from reflectance data as [log (1/R)]. From these optical determinations, we estimated absorptance (A) for the chlorophyll <italic>a</italic> peak at 675 nm, as A<sub>675</sub> &#x0003D; 1&#x02212;R<sub>675</sub>, assuming that the amount of light transmitted (T) through the coral skeleton was negligible (V&#x000E1;squez-Elizondo et al., <xref ref-type="bibr" rid="B67">2017</xref>).</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Spectroscopic determinations for <italic>Orbicella annularis</italic> (blue), <italic>Orbicella faveolata</italic> (orange), <italic>Montastraea cavernosa</italic> (green), and <italic>Pseudodiploria strigosa</italic> (red) for unstressed (dark color) and stressed/bleached (light color) coral samples: <bold>(A&#x02013;D)</bold> reflectance spectra and <bold>(E-H)</bold> calculated absorbance <bold>(D)</bold> spectra from reflectance (R) measurements as log(1/R), according to Shibata (<xref ref-type="bibr" rid="B59">1969</xref>). Shading colored area represents the standard deviation (STD) variability for &#x0003E;90 determinations for unstressed samples of <italic>O. annularis</italic> (<italic>n</italic> &#x0003D; 123), <italic>O. faveolata</italic> (<italic>n</italic> &#x0003D; 96), <italic>M. cavernosa</italic> (<italic>n</italic> &#x0003D; 110), and <italic>P. strigosa</italic> (<italic>n</italic> &#x0003D; 194); and <italic>n</italic> &#x0003E; 10 for stressed/bleached samples of <italic>O. annularis</italic> (<italic>n</italic> &#x0003D; 122), <italic>O. faveolata</italic> (<italic>n</italic> &#x0003D; 13), <italic>M. cavernosa</italic> (<italic>n</italic> &#x0003D; 28), and <italic>P. strigosa</italic> (<italic>n</italic> &#x0003D; 54). Unstressed samples represent a subset of the 28&#x000B0;C treatment of all experiments, while for the stressed/bleached group data describe all samples characterized.</p></caption>
<graphic xlink:href="fmars-04-00309-g0002.tif"/>
</fig>
</sec>
<sec>
<title>Determinations of the specific absorption coefficients</title>
<p>The chlorophyll <italic>a</italic> specific absorption coefficient for the chlorophyll <italic>a</italic> peak at 675 nm (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>; m<sup>2</sup> Chl<italic>a</italic><sup>&#x02212;1</sup>) was calculated according to Enr&#x000ED;quez et al. (<xref ref-type="bibr" rid="B21">2005</xref>), using the following equation:</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mrow><mml:msub><mml:mrow><mml:msup><mml:mi>a</mml:mi><mml:mo>&#x02217;</mml:mo></mml:msup></mml:mrow><mml:mrow><mml:mtext>Chl</mml:mtext><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo stretchy='false'>(</mml:mo><mml:mtext>De</mml:mtext><mml:mo>/</mml:mo><mml:mo>&#x003C1;</mml:mo><mml:mo stretchy='false'>)</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x000B7;</mml:mo><mml:mtext>&#x000A0;ln</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mn>10</mml:mn><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:math></disp-formula>
<p>Where De is the estimated absorbance value at 675 nm, calculated as [De<sub>675</sub> &#x0003D; log(1/R<sub>675</sub>)], and &#x003C1; is the chlorophyll <italic>a</italic> cross-section in mg Chl<italic>a</italic> m<sup>&#x02212;2</sup>. This parameter, a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>, is considered a descriptor of the pigment light absorption efficiency of the holobiont, as it combines changes in the photoacclimatory condition of <italic>Symbiodinium</italic> (cell pigmentation) <italic>in hospite</italic>, in the size of the symbiotic population, and in the dominant <italic>Symbiodinium</italic> type. In addition to this holobiont optical descriptor, two more specific absorption coefficients were estimated: the first named mass-specific absorption (a<sup>&#x0002A;</sup><sub>M</sub>, m<sup>2</sup> mg protein<sup>&#x02212;1</sup>), allowed the quantification of the potential benefits returned to the host of the capacity of this symbiosis to collect solar energy; the second, symbiont-specific absorption (a<sup>&#x0002A;</sup><sub>sym</sub>, m<sup>2</sup> sym<sup>&#x02212;1</sup>), allowed estimation of changes in the light absorption efficiency of <italic>Symbiodinium in hospite</italic>. For the calculation of the first descriptor we substituted &#x003C1; by host protein content (mg protein cm<sup>&#x02212;2</sup>), whereas for the calculation of a<sup>&#x0002A;</sup><sub>sym</sub> we used symbiont density (&#x00023; sym cm<sup>&#x02212;2</sup>). Briefly, a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> was defined as a descriptor of holobiont light absorption efficiency; a<sup>&#x0002A;</sup><sub>M</sub> describes host light absorption efficiency; and a<sup>&#x0002A;</sup><sub>sym</sub> the light absorption efficiency of <italic>Symbiodinium</italic> (see Table <xref ref-type="table" rid="T1">1</xref>).</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Table of terms, definitions, and units for the structural, optical, and photosynthetic traits used in this comparison.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Parameter</bold></th>
<th valign="top" align="left"><bold>Definition</bold></th>
<th valign="top" align="left"><bold>Units</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left" colspan="3" style="background-color:#bbbdc0"><bold>STRUCTURAL TRAITS</bold></td>
</tr>
<tr>
<td valign="top" align="left">Chlorophyll <italic>a</italic> density</td>
<td valign="top" align="left">Chlorophyll <italic>a</italic> per area</td>
<td valign="top" align="left">mg Chl<italic>a</italic> m<sup>&#x02212;2</sup></td>
</tr>
<tr>
<td valign="top" align="left">Symbiont density</td>
<td valign="top" align="left">Number of symbionts per area</td>
<td valign="top" align="left">&#x000D7;10<sup>6</sup> &#x00023;sym cm<sup>&#x02212;2</sup></td>
</tr>
<tr>
<td valign="top" align="left">Ci</td>
<td valign="top" align="left">Chlorophyll <italic>a</italic> per symbiont cell</td>
<td valign="top" align="left">pg Chl<italic>a</italic> sym<sup>&#x02212;1</sup></td>
</tr>
<tr>
<td valign="top" align="left">Soluble host protein</td>
<td valign="top" align="left">Soluble host protein per area</td>
<td valign="top" align="left">mg protein cm<sup>&#x02212;2</sup></td>
</tr>
<tr>
<td valign="top" align="left" colspan="3" style="background-color:#bbbdc0"><bold>OPTICAL TRAITS (at 675 nm)</bold></td>
</tr>
<tr>
<td valign="top" align="left">Absorptance (A)</td>
<td valign="top" align="left">Fraction of incident light absorbed</td>
<td valign="top" align="left">Dimensionless</td>
</tr>
<tr>
<td valign="top" align="left">a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub></td>
<td valign="top" align="left">Chlorophyll <italic>a</italic> specific absorption coefficient</td>
<td valign="top" align="left">m<sup>2</sup> mg Chl<italic>a</italic><sup>&#x02212;1</sup></td>
</tr>
<tr>
<td valign="top" align="left">a<sup>&#x0002A;</sup><sub>sym</sub></td>
<td valign="top" align="left">Symbiont specific absorption coefficient</td>
<td valign="top" align="left">m<sup>2</sup> sym<sup>&#x02212;1</sup></td>
</tr>
<tr>
<td valign="top" align="left">a<sup>&#x0002A;</sup><sub>M</sub></td>
<td valign="top" align="left">Protein specific absorption coefficient</td>
<td valign="top" align="left">m<sup>2</sup> mg protein<sup>&#x02212;1</sup></td>
</tr>
<tr>
<td valign="top" align="left" colspan="3" style="background-color:#bbbdc0"><bold>PHOTOSYNTHETIC TRAITS</bold></td>
</tr>
<tr>
<td valign="top" align="left">P<sub>max</sub></td>
<td valign="top" align="left">Gross-photosynthesis per area</td>
<td valign="top" align="left">&#x003BC;mol O<sub>2</sub> cm<sup>&#x02212;2</sup> h<sup>&#x02212;1</sup></td>
</tr>
<tr>
<td valign="top" align="left">P<sub>sym</sub></td>
<td valign="top" align="left">Gross-photosynthesis per symbiont</td>
<td valign="top" align="left">pmol O<sub>2</sub> sym<sup>&#x02212;1</sup> h<sup>&#x02212;1</sup></td>
</tr>
<tr>
<td valign="top" align="left">P<sub>M</sub></td>
<td valign="top" align="left">Gross-photosynthesis per host protein</td>
<td valign="top" align="left">&#x003BC;mol O<sub>2</sub> protein<sup>&#x02212;1</sup> h<sup>&#x02212;1</sup></td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec>
<title>Oxygen evolution determinations</title>
<p>Oxygen fluxes were measured polarographically, using Clark-type O<sub>2</sub> electrodes (Hansatech Instruments Ltd, Norfolk, UK) connected to a custom acrylic water-jacketed chambers (200 ml) filled with filtered seawater (0.45 &#x003BC;m). Coral samples were placed inside the chambers, and NaHCO<sub>3</sub> (5 mM) was added to prevent CO<sub>2</sub> limitation during incubations in small volume chambers (cf., Iglesias-Prieto et al., <xref ref-type="bibr" rid="B35">1992</xref>; Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B22">2002</xref>; Cayabyab and Enr&#x000ED;quez, <xref ref-type="bibr" rid="B10">2007</xref>). The temperature within the water-jacketed chambers was maintained constant with an external water re-circulating bath equipped with a temperature control system (Model AD07R&#x02013;20, PolyScience, Niles, IL). Five coral samples per species belonging to three different colonies, were used for each physiological determination. Maximum net photosynthesis (net P<sub>max</sub>) was determined exposing the samples to a known saturation irradiance of 500 &#x003BC;mol photons m<sup>&#x02212;2</sup> s<sup>&#x02212;1</sup> during 15 min. The saturation irradiance was previously determined characterizing the photosynthesis response curve (P vs. E) of each species. Oxygen evolution rates were measured again in darkness for five additional minutes to determine post-illumination respiration (R<sub>PI</sub>). Gross-photosynthesis (P<sub>max</sub>) was estimated by adding O<sub>2</sub> consumption through respiration, to the previously determined net photosynthetic rates under saturation irradiance (net P<sub>max</sub>).</p>
</sec>
<sec>
<title>Data analysis</title>
<p>As mentioned above, the dataset analyzed represents pooled data from three heat-stress experiments. Supplementary Table <xref ref-type="supplementary-material" rid="SM1">1</xref> shows the number of samples per species and stress-level used in this comparative analysis. One-way ANOVA and <italic>Post-Hoc</italic> Tukey HSD tests allowed determination of significant differences among the unstressed samples, as well as the three different coral phenotypes investigated within each species (unstressed, stressed, and bleached). To analyse the association between absorptance and chlorophyll <italic>a</italic> density, we used an asymptotic exponential function:</p>
<disp-formula id="E2"><mml:math id="M2"><mml:mrow><mml:mtext>y</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mtext>A</mml:mtext><mml:mrow><mml:mtext>max</mml:mtext></mml:mrow></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:mn>1</mml:mn><mml:mo>&#x02212;</mml:mo><mml:msup><mml:mtext>e</mml:mtext><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:mo>&#x02212;</mml:mo><mml:msup><mml:mtext>b</mml:mtext><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mtext>Chl</mml:mtext><mml:mi>a</mml:mi><mml:mtext>&#x000A0;density</mml:mtext><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:math></disp-formula>
<p>where A<sub>max</sub> is the maximum absorptance reached and <bold>b</bold> is the exponential rise of the function.</p>
<p>Least-square regression analyses of log/log transformed data (log y &#x0003D; log a &#x0002B; b log x) were used to derive the allometric function: [y &#x0003D; a<sup>&#x0002A;</sup>x<sup>b</sup>] between changes in the specific absorption coefficients (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>, a<sup>&#x0002A;</sup><sub>M</sub>, a<sup>&#x0002A;</sup><sub>sym</sub>) and structural coral traits. Pearson correlation coefficients (r) were used to describe the associations of variation between log-transformed parameters. Finally, principal component analysis (PCA) allowed exploring patterns at a multidimensional scale.</p>
<p>All analyses were conducted using R (Version 3.3.2; R Core Team, <xref ref-type="bibr" rid="B54">2017</xref>) with the &#x0201C;car&#x0201D; (Fox and Weisberg, <xref ref-type="bibr" rid="B28">2011</xref>), and &#x0201C;agricolae&#x0201D; (de Mendiburu, <xref ref-type="bibr" rid="B13">2016</xref>) packages loaded.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec>
<title>Structural and functional variability of the un-stressed samples</title>
<p>For the unstressed corals, chlorophyll <italic>a</italic> density showed significant differences between the more pigmented (<italic>O. faveolata</italic> and <italic>M. cavernosa</italic>) and less pigmented (<italic>O. annularis</italic>) species (one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.05; Figure <xref ref-type="fig" rid="F3">3A</xref>). The coefficients of variation (CV) were slightly higher for <italic>P. strigosa</italic> (CV &#x0003D; 43%) relative to the values found for <italic>O. annularis</italic> (CV &#x0003D; 29%), <italic>O. faveolata</italic> (CV &#x0003D; 28%), and <italic>M. cavernosa</italic> (CV &#x0003D; 28%). The highest symbiont densities (Figure <xref ref-type="fig" rid="F3">3B</xref>), and the lowest chlorophyll <italic>a</italic> content per symbiont (Ci, Figure <xref ref-type="fig" rid="F3">3C</xref>) were found for the two <italic>Orbicellas</italic> spp., while <italic>M. cavernosa</italic> and <italic>P. strigosa</italic> presented significantly lower symbiont density and higher Ci (one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.05). The species that showed the highest soluble host protein content was <italic>M. cavernosa</italic> (6 &#x000B1; 0.7 mg protein cm<sup>&#x02212;2</sup>), whereas <italic>O. annularis</italic> showed the lowest average value (2.4 &#x000B1; 0.2 mg protein cm<sup>&#x02212;2</sup>; Figure <xref ref-type="fig" rid="F3">3D</xref>). However, no significant differences were observed among <italic>O. annularis, O. faveolata</italic>, and <italic>P. strigosa</italic> for host protein content in the unstressed samples (one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003E; 0.05).</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Box plots of the variation of structural <bold>(A&#x02013;D)</bold>, photosynthetic <bold>(E&#x02013;H)</bold>, and optical <bold>(I&#x02013;L)</bold> descriptors of the holobiont phenotype of <italic>Orbicella annularis</italic> (blue), <italic>Orbicella faveolata</italic> (orange), <italic>Montastraea cavernosa</italic> (green), and <italic>Pseudodiploria strigosa</italic> (red). Different shading describes the unstressed (dark), heat-stressed (light), and bleached phenotypes (lighter). Boxes encompass the 25 and 75% quartiles. The central line corresponds to the median, and bars extend to the 95 and 5% of the confidence limits. Uppercase letters indicate significant differences among species, while lowercase letters denote differences among coral phenotypes (ANOVA tests were performed across species using two-way ANOVA). The lack of lowercase letters indicate that changes were not significant.</p></caption>
<graphic xlink:href="fmars-04-00309-g0003.tif"/>
</fig>
<p>Maximum photosynthetic rates per area (P<sub>max</sub>) were significantly higher in both <italic>Orbicella</italic> spp. (one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.05; Figure <xref ref-type="fig" rid="F3">3F</xref>), but symbiont contribution to holobiont photosynthetic production (P<sub>sym</sub>) was the lowest (Figure <xref ref-type="fig" rid="F3">3G</xref>). P<sub>sym</sub> showed a similar pattern of variation to Ci: the highest P<sub>sym</sub> was observed in the unstressed samples of <italic>P. strigosa</italic> and <italic>M. cavernosa</italic>. These P<sub>sym</sub> differences among species were however only significant for <italic>P. strigosa</italic> (one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.05; Figure <xref ref-type="fig" rid="F3">3G</xref>). Photosynthetic rates normalized to soluble protein content (P<sub>M</sub>) were highest for <italic>O. annularis</italic> and lowest for <italic>M. cavernosa</italic> (one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.05; Figure <xref ref-type="fig" rid="F3">3H</xref>).</p>
<p>With respect to the optical traits, unstressed samples of <italic>O. annularis, O. faveolata</italic>, and <italic>M. cavernosa</italic> showed equal maximum capacity for light absorption (A<sub>max</sub> &#x0003E; 90%). The lowest A<sub>max</sub> for the unstressed specimens was determined for <italic>P. strigosa</italic> (A<sub>max</sub> &#x0003D; 88%; one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.05, Figure <xref ref-type="fig" rid="F3">3I</xref>). All unstressed samples showed low values for chlorophyll <italic>a</italic> specific absorption (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>; Figure <xref ref-type="fig" rid="F3">3J</xref>). The highest values were estimated for <italic>O. annularis</italic> (one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.05); which also showed the highest mass specific absorption (a<sup>&#x0002A;</sup><sub>M</sub>; one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.05; Figure <xref ref-type="fig" rid="F3">3L</xref>). On the other hand, the highest symbiont specific absorption (a<sup>&#x0002A;</sup><sub>sym</sub>) was estimated for <italic>M. cavernosa</italic> and <italic>P. strigosa</italic> (one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.05; Figure <xref ref-type="fig" rid="F3">3K</xref>).</p>
</sec>
<sec>
<title>Principal component analysis (PCA) for non-stressed holobionts</title>
<p>Un-stressed samples of the four species investigated were clearly discriminated by PCA analysis (Table <xref ref-type="table" rid="T2">2</xref>, Figure <xref ref-type="fig" rid="F4">4</xref>). The principal component 1 (PC1) was determined by four functional (P<sub>M</sub>, P<sub>sym</sub>, a<sup>&#x0002A;</sup><sub>M</sub>, a<sup>&#x0002A;</sup><sub>sym</sub>) and three structural (symbiont density, Ci, and protein content) traits, and explained 39% of the variability (Table <xref ref-type="table" rid="T2">2</xref>). This component was able to distinguish between the two species that harbored higher number of symbionts, both <italic>Orbicellas</italic> spp., and the species with higher host protein content and <italic>Symbiodinium</italic> Ci, <italic>P. strigosa</italic> and <italic>M. cavernosa</italic>. The second component (PC2) diferentiated between the more pigmented (<italic>O. faveolata</italic> and <italic>M. cavernosa</italic>) and the less pigmented species (<italic>O. annularis</italic> and <italic>P. strigosa</italic>). This component increased the variability explained to 66%, thanks to the contribution of changes in holobiont pigmentation (Chl<italic>a</italic> density) and holobiont light absorption efficiency (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>), with smaller contributions of coral descriptors normalized to symbiont and mass (Table <xref ref-type="table" rid="T2">2</xref>). No correlation was found between this component and holobiont photosynthetic production. Finally, a third component (PC3) increased the variability explained to 80%, thanks to the contribution of P<sub>max</sub>, <italic>Symbiodinium</italic> Ci and two optical descriptors, a<sup>&#x0002A;</sup><sub>M</sub> and a<sup>&#x0002A;</sup><sub>sym</sub> (Table <xref ref-type="table" rid="T2">2</xref>).</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>PCA analysis for the structural, optical, and photo-physiological coral descriptors of the un-stressed samples of <italic>Orbicella annularis, O. faveolata, Montastraea cavernosa</italic>, and <italic>Pseudodiploria strigosa</italic>.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th/>
<th valign="top" align="center"><bold>PC1</bold></th>
<th valign="top" align="center"><bold>PC2</bold></th>
<th valign="top" align="center"><bold>PC3</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Chlorophyll <italic>a</italic> (mg Chl<italic>a</italic> m<sup>&#x02212;2</sup>)</td>
<td valign="top" align="center">0.14</td>
<td valign="top" align="center">&#x02212;<bold>0.52</bold></td>
<td valign="top" align="center">0.05</td>
</tr>
<tr>
<td valign="top" align="left">Symbionts (x10<sup>6</sup> &#x00023; sym cm<sup>&#x02212;2</sup>)</td>
<td valign="top" align="center"><bold>0.43</bold></td>
<td valign="top" align="center">&#x02212;0.19</td>
<td valign="top" align="center">&#x02212;0.25</td>
</tr>
<tr>
<td valign="top" align="left">Ci (pg Chl<italic>a</italic> sym<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">&#x02212;<bold>0.33</bold></td>
<td valign="top" align="center">&#x02212;0.23</td>
<td valign="top" align="center"><bold>0.40</bold></td>
</tr>
<tr>
<td valign="top" align="left">Soluble host protein (mg cm<sup>&#x02212;2</sup>)</td>
<td valign="top" align="center">&#x02212;<bold>0.35</bold></td>
<td valign="top" align="center">&#x02212;0.26</td>
<td valign="top" align="center">&#x02212;0.14</td>
</tr>
<tr>
<td valign="top" align="left">a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> (m<sup>2</sup> mg Chl<italic>a</italic><sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">&#x02212;0.07</td>
<td valign="top" align="center"><bold>0.52</bold></td>
<td valign="top" align="center">&#x02212;0.03</td>
</tr>
<tr>
<td valign="top" align="left">a<sup>&#x0002A;</sup><sub>sym</sub> (m<sup>2</sup> sym<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">&#x02212;<bold>0.41</bold></td>
<td valign="top" align="center">0.21</td>
<td valign="top" align="center">0.29</td>
</tr>
<tr>
<td valign="top" align="left">a<sup>&#x0002A;</sup><sub>M</sub> (m<sup>2</sup> mg protein<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center"><bold>0.36</bold></td>
<td valign="top" align="center">0.28</td>
<td valign="top" align="center"><bold>0.34</bold></td>
</tr>
<tr>
<td valign="top" align="left">P<sub>max</sub> (&#x003BC;mol O<sub>2</sub> cm<sup>&#x02212;2</sup> h<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">&#x02212;0.09</td>
<td valign="top" align="center">0.11</td>
<td valign="top" align="center">&#x02212;<bold>0.70</bold></td>
</tr>
<tr>
<td valign="top" align="left">P<sub>sym</sub> (pmol O<sub>2</sub> sym<sup>&#x02212;1</sup> h<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">&#x02212;<bold>0.39</bold></td>
<td valign="top" align="center">0.23</td>
<td valign="top" align="center">&#x02212;0.23</td>
</tr>
<tr>
<td valign="top" align="left">P<sub>M</sub> (&#x003BC;mol O<sub>2</sub> protein<sup>&#x02212;1</sup> h<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center"><bold>0.33</bold></td>
<td valign="top" align="center"><bold>0.34</bold></td>
<td valign="top" align="center">0.10</td>
</tr>
<tr>
<td valign="top" align="left">Standard deviation</td>
<td valign="top" align="center">1.96</td>
<td valign="top" align="center">1.63</td>
<td valign="top" align="center">1.21</td>
</tr>
<tr>
<td valign="top" align="left">Proportion of variance</td>
<td valign="top" align="center">0.39</td>
<td valign="top" align="center">0.27</td>
<td valign="top" align="center">0.15</td>
</tr>
<tr>
<td valign="top" align="left">Cumulative proportion</td>
<td valign="top" align="center">0.39</td>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">0.80</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Bold values highlight strong correlations [loading &#x0003E; 0.3] between original variables and PCs. The table shows the correlation values of each coral trait for the first three principal components. The table also shows the cumulative variation accounted for each component</italic>.</p>
</table-wrap-foot>
</table-wrap>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Principal component analysis (PCA) plot showing the grouping of the unstressed specimens of <italic>Orbicella annularis</italic> (blue), <italic>Orbicella faveolata</italic> (orange), <italic>Montastraea cavernosa (</italic>green), and <italic>Pseudodiploria strigosa</italic> (red), based on the structural (chlorophyll <italic>a</italic>, symbiont, Ci, protein content), optical (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>, a<sup>&#x0002A;</sup><sub>sym</sub>, a<sup>&#x0002A;</sup><sub>M</sub>) and photosynthetic (P<sub>max</sub>, P<sub>sym</sub>, P<sub>M</sub>) descriptors. Blue arrows indicate the correlation of the different parameters with PC1 and PC2.</p></caption>
<graphic xlink:href="fmars-04-00309-g0004.tif"/>
</fig>
</sec>
<sec>
<title>Structural and functional variability of the stressed corals</title>
<p>Exposure to heat-stress induced in the two <italic>Orbicellas</italic> and <italic>M. cavernosa</italic> significant chlorophyll <italic>a</italic> (&#x0003E;90%) and symbiont (&#x0003E;89%) losses (one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.001; Figures <xref ref-type="fig" rid="F3">3A,B</xref>). <italic>P. strigosa</italic> showed smaller changes but this species also reduced significantly its chlorophyll <italic>a</italic> and symbiont number when compared with the unstressed samples (one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.001). No significant change was observed for <italic>Symbiodinium</italic> Ci in samples of <italic>O. annularis, O. faveolata</italic>, and <italic>M. cavernosa</italic> exposed to heat-stress. Unexpectly, in <italic>P. strigosa</italic> we found a reduction in <italic>Symbiodinium</italic> Ci in the heat-stressed samples, but not in the bleached ones, which showed the highest values (one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.001; Figure <xref ref-type="fig" rid="F3">3C</xref>). Host soluble protein content did not present significant changes in the stressed samples of <italic>O. faveolata, M. cavernosa</italic>, and <italic>P. strigosa</italic>, while it increased significantly in <italic>O. annularis</italic> (Figure <xref ref-type="fig" rid="F3">3D</xref>).</p>
<p><italic>F</italic><sub><italic>v</italic></sub><italic>/F</italic><sub><italic>m</italic></sub> and holobiont gross photosynthesis declined in all samples that suffered heat-stress (Figures <xref ref-type="fig" rid="F3">3E&#x02013;H</xref>). <italic>F</italic><sub><italic>v</italic></sub><italic>/F</italic><sub><italic>m</italic></sub> reductions were largest for <italic>M. cavernosa</italic> (77%), intermediate for <italic>P. strigosa</italic> and <italic>O. annularis</italic> (30&#x02013;40%) and lowest for <italic>O. faveolata</italic> (Figure <xref ref-type="fig" rid="F3">3E</xref>). Only three species, <italic>O. annularis, M. cavernosa</italic>, and <italic>P. strigosa</italic>, showed P<sub>max</sub> and P<sub>M</sub> values no significantly different to 0 for some of the samples exposed to heat-stress (Figures <xref ref-type="fig" rid="F3">3F,H</xref>). We considered that these samples had reached the bleached phenotype, according to Scheufen et al. (<xref ref-type="bibr" rid="B58">2017</xref>), as these holobiont were fully dysfunctional with respect to photosynthesis. The only species that did not develop the bleached phenotype was <italic>O. faveolata</italic>, although some stressed specimens showed highly reduced <italic>F</italic><sub><italic>v</italic></sub><italic>/F</italic><sub><italic>m</italic></sub> values (Figure <xref ref-type="fig" rid="F3">3E</xref>), but still mantained significant photosynthetic activity. <italic>Symbiodinium</italic> photosynthetic rates (P<sub>sym</sub>) were also significantly reduced in the bleached phenotypes (Figure <xref ref-type="fig" rid="F3">3G</xref>).</p>
</sec>
<sec>
<title>Association of variation between coral pigmentation and optical traits</title>
<p>The declines observed in chlorophyll <italic>a</italic> and symbiont density in the stressed organisms, induced significant reductions in coral absorptance (Figure <xref ref-type="fig" rid="F3">3I</xref>) together with large increases in the specific absorption coefficients (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> and a<sup>&#x0002A;</sup><sub>sym</sub>, Figures <xref ref-type="fig" rid="F3">3J,K</xref>). The greatest reductions in absorptance (55%) were estimated for <italic>O. annularis</italic>, while <italic>M. cavernosa</italic> and <italic>P. strigosa</italic> experienced losses of, respectively, 43 and 30% (one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.001). <italic>O. faveolata</italic> was the species that showed the smallest declines in absorptance (7%; one-way ANOVA, Tukey HSD, <italic>p</italic> &#x0003C; 0.001). Only a few stressed samples experienced large reductions in absorptance (&#x0007E;50%), but these holobionts still maintained significant photosynthetic activity (P<sub>max</sub> &#x0003D; 0.7 &#x000B1; 0.15). In addition to absorptance, the most prominent changes in the specific absorption coefficients were observed in <italic>O. annularis</italic>, followed by <italic>P. strigosa</italic>, and <italic>M. cavernosa</italic>, whereas <italic>O. faveolata</italic> showed the smallest variation in a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> and a<sup>&#x0002A;</sup><sub>sym</sub> (Figures <xref ref-type="fig" rid="F3">3J,K</xref>). Bleached organisms for all species showed the highest values for a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> and a<sup>&#x0002A;</sup><sub>sym</sub> and the lowest for a<sup>&#x0002A;</sup><sub>M</sub> (Figures <xref ref-type="fig" rid="F3">3J&#x02013;H</xref>).</p>
</sec>
<sec>
<title>Principal component analysis (PCA) of the heat-stressed corals</title>
<p>The three main coral phenotypes, unstressed, stressed and bleached, were clearly grouped in a second PCA analysis, performed using exclusively coral functional descriptors (Table <xref ref-type="table" rid="T3">3</xref>, Figure <xref ref-type="fig" rid="F5">5</xref>). The previous structural and functional differences became smaller in comparison with the variability generated by heat-stress. The principal component 1 (PC1) explained 39% of this variability thanks to P<sub>M</sub>, a<sup>&#x0002A;</sup><sub>M</sub>, and P<sub>max</sub>, which were negatively associated with a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> a<sup>&#x0002A;</sup><sub>sym</sub>. The second component 2 (PC2), which increased the variability explained to 66%, was mainly determined by P<sub>sym</sub> and P<sub>max</sub> (Table <xref ref-type="table" rid="T3">3</xref>). Accordingly, the dramatic reduction in coral photosynthesis induced by heat-stress, which was reflected in the holobiont rates (P<sub>max</sub>), in <italic>Symbiodinium</italic> photosynthesis (P<sub>sym</sub>), and in the relative contribution of coral photosynthesis to the host (P<sub>M</sub>), was paired with large increases in the efficiency of solar energy collection of the holobiont (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>) and <italic>Symbiodinium</italic> (a<sup>&#x0002A;</sup><sub>sym</sub>). However, light absorption efficiency of the host (a<sup>&#x0002A;</sup><sub>M</sub>) was positively associated with holobiont photosynthesis (Figure <xref ref-type="fig" rid="F5">5</xref>, Table <xref ref-type="table" rid="T3">3</xref>).</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>PCA analysis for the optical and photo-physiological coral descriptors of the un- stressed, stressed and bleached samples of <italic>Orbicella annularis, O. faveolata, Montastraea cavernosa</italic>, and <italic>Pseudodiploria strigosa</italic>.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th/>
<th valign="top" align="center"><bold>PC1</bold></th>
<th valign="top" align="center"><bold>PC2</bold></th>
<th valign="top" align="center"><bold>PC3</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">a&#x0002A;<sub>Chl<italic>a</italic></sub> (m<sup>2</sup> mg Chl<italic>a</italic><sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">&#x02212;<bold>0.37</bold></td>
<td valign="top" align="center">&#x02212;0.18</td>
<td valign="top" align="center"><bold>0.56</bold></td>
</tr>
<tr>
<td valign="top" align="left">a&#x0002A;<sub>sym</sub> (m<sup>2</sup> sym<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">&#x02212;<bold>0.46</bold></td>
<td valign="top" align="center">&#x02212;0.05</td>
<td valign="top" align="center"><bold>0.49</bold></td>
</tr>
<tr>
<td valign="top" align="left">a&#x0002A;<sub>M</sub> (m<sup>2</sup> mg protein<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center"><bold>0.49</bold></td>
<td valign="top" align="center">&#x02212;<bold>0.36</bold></td>
<td valign="top" align="center"><bold>0.37</bold></td>
</tr>
<tr>
<td valign="top" align="left">P<sub>max</sub> (&#x003BC;mol O<sub>2</sub> cm<sup>&#x02212;2</sup> h<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center"><bold>0.33</bold></td>
<td valign="top" align="center"><bold>0.60</bold></td>
<td valign="top" align="center">0.13</td>
</tr>
<tr>
<td valign="top" align="left">P<sub>sym</sub> (pmol O<sub>2</sub> sym<sup>&#x02212;1</sup> h<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center">&#x02212;0.07</td>
<td valign="top" align="center"><bold>0.68</bold></td>
<td valign="top" align="center"><bold>0.34</bold></td>
</tr>
<tr>
<td valign="top" align="left">P<sub>M</sub> (&#x003BC;mol O<sub>2</sub> protein<sup>&#x02212;1</sup> h<sup>&#x02212;1</sup>)</td>
<td valign="top" align="center"><bold>0.55</bold></td>
<td valign="top" align="center">&#x02212;0.11</td>
<td valign="top" align="center"><bold>0.42</bold></td>
</tr>
<tr>
<td valign="top" align="left">Standard deviation</td>
<td valign="top" align="center">1.54</td>
<td valign="top" align="center">1.25</td>
<td valign="top" align="center">1.14</td>
</tr>
<tr>
<td valign="top" align="left">Proportion of variance</td>
<td valign="top" align="center">0.39</td>
<td valign="top" align="center">0.26</td>
<td valign="top" align="center">0.22</td>
</tr>
<tr>
<td valign="top" align="left">Cumulative proportion</td>
<td valign="top" align="center">0.39</td>
<td valign="top" align="center">0.66</td>
<td valign="top" align="center">0.87</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Bold values highlight strong correlations [loading &#x0003E; 0.3] between original variables and PCs. The table shows the correlation values of each coral trait for the first three principal components of this PCA analysis. The table also shows the cumulative variation accounted for each component</italic>.</p>
</table-wrap-foot>
</table-wrap>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>Principal component analysis (PCA) plot showing <bold>(A)</bold> the grouping of samples in un-stressed (dark gray), stressed (gray), and bleached (light gray) coral phenotypes, based on the optical (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>, a<sup>&#x0002A;</sup><sub>sym</sub>, a<sup>&#x0002A;</sup><sub>M</sub>) and photo-physiological (P<sub>max</sub>, P<sub>sym</sub>, P<sub>M</sub>) descriptors. Blue arrows indicate the correlation of the different descriptors with PC1 and PC2. Plot <bold>(B)</bold> described the same grouping identifying coral species with different color: <italic>Orbiella annularis</italic> in blue, <italic>Orbicella faveolata</italic> in orange, <italic>Montastraea cavernosa</italic> in green, and <italic>Pseudodiploria strigosa</italic> in red. Different shading describes coral phenotypes from unstressed (dark) to bleached (lighter).</p></caption>
<graphic xlink:href="fmars-04-00309-g0005.tif"/>
</fig>
</sec>
<sec>
<title>Variation of holobiont optical properties</title>
<p>Optical traits (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>, a<sup>&#x0002A;</sup><sub>sym</sub>, a<sup>&#x0002A;</sup><sub>M</sub>) showed: (i) a positive association between a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> and a<sup>&#x0002A;</sup><sub>sym</sub>; (ii) a negative association between a<sup>&#x0002A;</sup><sub>sym</sub> and a<sup>&#x0002A;</sup><sub>M</sub>; and (iii) no association between a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> and a<sup>&#x0002A;</sup><sub>M</sub> (Table <xref ref-type="table" rid="T4">4</xref>). Strong correlations were also found between optical and structural coral traits (Table <xref ref-type="table" rid="T4">4</xref>), as absorptance and the specific absorption coefficients were positively associated with increases in chlorophyll <italic>a</italic>, symbiont density, and Ci (Table <xref ref-type="table" rid="T4">4</xref>). A negative colinearity was detected between symbiont density and Ci (Pearson <italic>r</italic> &#x0003D; &#x02212;0.29, <italic>p</italic> &#x0003C; 0.001; Table <xref ref-type="table" rid="T4">4</xref>). This general pattern presented some deviations when analyzing the variation within coral species (Supplementary Table <xref ref-type="supplementary-material" rid="SM1">2</xref>), as symbiont density and Ci were not significantly correlated in <italic>O. annularis, O. faveolata</italic>, and <italic>M. cavernosa</italic>.</p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Pearson correlation between optical, structural, and photo-physiological descriptors.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th/>
<th valign="top" align="center" colspan="4" style="border-bottom: thin solid #000000;"><bold>Optical</bold></th>
<th valign="top" align="center" colspan="3" style="border-bottom: thin solid #000000;"><bold>Structural</bold></th>
<th valign="top" align="center" colspan="2" style="border-bottom: thin solid #000000;"><bold>Photo-physiological</bold></th>
</tr>
<tr>
<th/>
<th valign="top" align="center"><bold>log A</bold></th>
<th valign="top" align="center"><bold>log a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub></bold></th>
<th valign="top" align="center"><bold>log a<sup>&#x0002A;</sup><sub>sym</sub></bold></th>
<th valign="top" align="center"><bold>log a<sup>&#x0002A;</sup><sub>M</sub></bold></th>
<th valign="top" align="center"><bold>log Chl<italic>a</italic></bold></th>
<th valign="top" align="center"><bold>log sym</bold></th>
<th valign="top" align="center"><bold>log Ci</bold></th>
<th valign="top" align="center"><bold>log P<sub>max</sub></bold></th>
<th valign="top" align="center"><bold>log P<sub>sym</sub></bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">log A</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">log a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub></td>
<td valign="top" align="center">&#x02212;0.34<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">log a<sup>&#x0002A;</sup><sub>sym</sub></td>
<td valign="top" align="center">&#x02212;0.24<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.57<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">log a<sup>&#x0002A;</sup><sub>M</sub></td>
<td valign="top" align="center">0.38<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.08</td>
<td valign="top" align="center">&#x02212;0.36<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">log Chl<italic>a</italic></td>
<td valign="top" align="center">0.74<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.87<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.54<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.28<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">log sym</td>
<td valign="top" align="center">0.66<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.59<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.85<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.48<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.79<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">log Ci</td>
<td valign="top" align="center">0.14<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.44<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.44<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.30<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.35<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.29<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">log P<sub>max</sub></td>
<td valign="top" align="center">0.67<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.44<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.46<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.26<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.67<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.70<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.03</td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">log P<sub>sym</sub></td>
<td valign="top" align="center">0.1</td>
<td valign="top" align="center">0.14<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.43<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.24<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.06</td>
<td valign="top" align="center">&#x02212;0.28<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.32<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.49<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td/>
</tr>
<tr>
<td valign="top" align="left">log P<sub>M</sub></td>
<td valign="top" align="center">0.49<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.28<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.54<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.83<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.48<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.66<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">&#x02212;0.28<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.70<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="center">0.14<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;&#x0002A;</sup></xref></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Significants levels:</italic></p>
<fn id="TN1">
<label>&#x0002A;&#x0002A;&#x0002A;</label>
<p><italic>0.001;</italic></p></fn>
<fn id="TN2">
<label>&#x0002A;&#x0002A;</label>
<p><italic>0.01;</italic></p></fn>
<p><italic><sup>&#x0002A;</sup>0.05</italic>.</p>
</table-wrap-foot>
</table-wrap>
<p>The associations of variation between absoptance and, both, chlorophyll <italic>a</italic> and symbiont density (Figure <xref ref-type="fig" rid="F6">6</xref>) were described using the asymptotic function:</p>
<disp-formula id="E3"><label>(1)</label><mml:math id="M3"><mml:mrow><mml:mtext>A</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mtext>A</mml:mtext><mml:mrow><mml:mtext>max</mml:mtext></mml:mrow></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:mn>1</mml:mn><mml:mo>&#x02212;</mml:mo><mml:msup><mml:mtext>e</mml:mtext><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:mo>&#x02212;</mml:mo><mml:msup><mml:mtext>b</mml:mtext><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mtext>Chl</mml:mtext><mml:mi>a</mml:mi><mml:mtext>&#x000A0;density</mml:mtext><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:math></disp-formula>
<p>where A<sub>max</sub> is the maximum absorptance value achieved at increasing pigmentation or symbiont density, and b describes the exponential rise of this association. This model allowed estimation for each coral species of the amount of chlorophyll <italic>a</italic> and/or symbiont density required to reach A<sub>max</sub> <italic>O. faveolata</italic> required the lowest pigmentation (27 mg Chl<italic>a</italic> m<sup>&#x02212;2</sup>), followed by <italic>O. annularis</italic> (41 mg Chl<italic>a</italic> m<sup>&#x02212;2</sup>), <italic>P. strigosa</italic> (41 mg Chl<italic>a</italic> m<sup>&#x02212;2</sup>), and <italic>M. cavernosa</italic> (80 mg Chl<italic>a</italic> m<sup>&#x02212;2</sup>). Similarly, the minimum symbiont density required to reach that maximum was lowest for <italic>O. faveolata</italic> (0.76 &#x000D7; 10<sup>6</sup> &#x00023; cells cm<sup>&#x02212;2</sup>) and <italic>P. strigosa</italic> (0.92 &#x000D7; 10<sup>6</sup> &#x00023; cells cm<sup>&#x02212;2</sup>); and highest for <italic>O. annularis</italic> (1.37 &#x000D7; 10<sup>6</sup> &#x00023; cells cm<sup>&#x02212;2</sup>) and <italic>M. cavernosa</italic> (1.58 &#x000D7; 10<sup>6</sup> symbionts cm<sup>&#x02212;2</sup>; Figure <xref ref-type="fig" rid="F6">6</xref>).</p>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>Description of the variation of absorptance <bold>(A)</bold> and pigment specific absorption (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>) as a function of changes in chlorophyll <italic>a</italic> <bold>(A,C)</bold> and symbiont density <bold>(B,D)</bold>, for <italic>Orbicella annularis</italic> (blue), <italic>Orbicella faveolata</italic> (orange), <italic>Montastraea cavernosa</italic> (green), and <italic>Pseudodiploria strigosa</italic> (red). Solid lines mark the asymptotic fits for each coral species and the shade area represents the extension of the 95 and 5% confident intervals. Discontinuous vertical color lines mark the values of chorophyll <italic>a</italic> or symbiont density where A<sub>max</sub> was achieved for each species.</p></caption>
<graphic xlink:href="fmars-04-00309-g0006.tif"/>
</fig>
<p>A power function was used to describe the non-linear associations between the specific absorption coefficients and holobiont structural traits (Figures <xref ref-type="fig" rid="F6">6C,D</xref>; Supplementary Tables <xref ref-type="supplementary-material" rid="SM1">3</xref>, <xref ref-type="supplementary-material" rid="SM1">4</xref>). Least-square regression analyses of log/log transformed data according to the equation:</p>
<disp-formula id="E4"><label>(2)</label><mml:math id="M4"><mml:mrow><mml:mtext>log</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mtext>y</mml:mtext><mml:mo stretchy='false'>)</mml:mo><mml:mo>=</mml:mo><mml:mtext>log</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mtext>a</mml:mtext><mml:mo stretchy='false'>)</mml:mo><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mtext>b</mml:mtext><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mtext>log</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mtext>x</mml:mtext><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:math></disp-formula>
<p>allowed estimation of the allometric morpho-functional associations, as: y &#x0003D; a X<sup>b</sup>, where log(a) describes the intercept and b the &#x0201C;scaling factor&#x0201D; of the allometric association or the linear slope of the log/log transformed data.</p>
<p>Two common models described the variation of a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> as a function of changes in chlorophyll <italic>a</italic> or symbiont density for all coral species investigated. The first model explained 75% of the variation examined in a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>:</p>
<disp-formula id="E5"><mml:math id="M5"><mml:mtable columnalign='left'><mml:mtr><mml:mtd><mml:mtext>log&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:msup><mml:mtext>a</mml:mtext><mml:mo>&#x02217;</mml:mo></mml:msup></mml:mrow><mml:mrow><mml:mtext>Chl</mml:mtext><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:msup><mml:mtext>m</mml:mtext><mml:mn>2</mml:mn></mml:msup><mml:mtext>&#x000A0;</mml:mtext><mml:msup><mml:mtext>mg</mml:mtext><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mtext>&#x000A0;Chl</mml:mtext><mml:mi>a</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mo>=</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mn>0.39</mml:mn><mml:mo>&#x000B1;</mml:mo><mml:mn>0.04</mml:mn><mml:mo>&#x02212;</mml:mo><mml:mn>0.63</mml:mn><mml:mo>&#x000B1;</mml:mo><mml:msup><mml:mn>0.02</mml:mn><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mtext>log&#x000A0;Chl</mml:mtext><mml:mi>a</mml:mi><mml:mtext>&#x000A0;density&#x000A0;</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mtext>mg&#x000A0;Chl</mml:mtext><mml:mi>a</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:msup><mml:mtext>m</mml:mtext><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:msup><mml:mi>r</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn>0.75</mml:mn><mml:mo>,</mml:mo><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>360</mml:mn><mml:mo>,</mml:mo><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mo>&#x02212;</mml:mo><mml:mn>1063.1</mml:mn><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo>&#x0003C;</mml:mo><mml:mn>0.001</mml:mn><mml:mo stretchy='false'>)</mml:mo><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;Model</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mtext>1</mml:mtext><mml:mo stretchy='false'>)</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The second was able to describe 35% of a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> variation based on only changes in symbiont density:</p>
<disp-formula id="E6"><mml:math id="M6"><mml:mtable columnalign='left'><mml:mtr><mml:mtd><mml:mtext>log&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:msup><mml:mtext>a</mml:mtext><mml:mo>&#x02217;</mml:mo></mml:msup></mml:mrow><mml:mrow><mml:mtext>Chl</mml:mtext><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:msup><mml:mtext>m</mml:mtext><mml:mn>2</mml:mn></mml:msup><mml:msup><mml:mtext>mg</mml:mtext><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mtext>Chl</mml:mtext><mml:mi>a</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mo>=</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mn>1.47</mml:mn><mml:mo>&#x000B1;</mml:mo><mml:mn>0.04</mml:mn><mml:mo>&#x02212;</mml:mo><mml:mn>0.45</mml:mn><mml:mo>&#x000B1;</mml:mo><mml:msup><mml:mn>0.03</mml:mn><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mtext>log&#x000A0;symbiont&#x000A0;density</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mo>&#x000D7;</mml:mo><mml:msup><mml:mn>1</mml:mn><mml:mn>06</mml:mn></mml:msup><mml:mo>&#x00023;</mml:mo><mml:mtext>&#x000A0;sym&#x000A0;</mml:mtext><mml:msup><mml:mtext>cm</mml:mtext><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:msup><mml:mi>r</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn>0.35</mml:mn><mml:mo>,</mml:mo><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>360</mml:mn><mml:mo>,</mml:mo><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mn>195.03</mml:mn><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo>&#x0003C;</mml:mo><mml:mn>0.001</mml:mn><mml:mo stretchy='false'>)</mml:mo><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;Model</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mtext>2</mml:mtext><mml:mo stretchy='false'>)</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
</sec>
<sec>
<title>Multiple regression analyses</title>
<p>To better understand the dependence of coral optical traits (A and a<sup>&#x0002A;</sup><sub><italic>chla</italic></sub>) on the variation of holobiont pigmentation, we performed multiple regression analyses in order to distinguish between direct and combined effects of changes in the number of symbionts (symbiont density) and in <italic>Symbiodinium</italic> pigmentation (Ci) on this variation. The models found allow quantification of the effect of changes in the distribution of coral pigmentation on coral optics. According to these models:
<list list-type="roman-lower">
<list-item><p>increases in symbiont density result in larger enhancements in coral absorptance than increases in <italic>Symbiodinium</italic> Ci:
<disp-formula id="E7"><mml:math id="M7"><mml:mtable columnalign='left'><mml:mtr><mml:mtd><mml:mtext>log&#x000A0;A</mml:mtext><mml:mo>=</mml:mo><mml:mn>1.77</mml:mn><mml:mo>&#x000B1;</mml:mo><mml:mn>0.01</mml:mn><mml:mo>&#x0002B;</mml:mo><mml:mstyle mathvariant='bold' mathsize='normal'><mml:mn>0</mml:mn></mml:mstyle><mml:mo>.</mml:mo><mml:mstyle mathvariant='bold' mathsize='normal'><mml:mn>26</mml:mn></mml:mstyle><mml:mo>&#x000B1;</mml:mo><mml:msup><mml:mn>0.02</mml:mn><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mtext>log&#x000A0;symbiont&#x000A0;density</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mo>&#x000D7;</mml:mo><mml:msup><mml:mn>1</mml:mn><mml:mn>06</mml:mn></mml:msup><mml:msup><mml:mtext>cm</mml:mtext><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mstyle mathvariant='bold' mathsize='normal'><mml:mn>0</mml:mn></mml:mstyle><mml:mo>.</mml:mo><mml:mstyle mathvariant='bold' mathsize='normal'><mml:mn>16</mml:mn></mml:mstyle><mml:mo>&#x000B1;</mml:mo><mml:msup><mml:mn>0.02</mml:mn><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mtext>log&#x000A0;Ci&#x000A0;</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mtext>mg&#x000A0;Chl</mml:mtext><mml:mi>a</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:msup><mml:mtext>cell</mml:mtext><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>0.1</mml:mn><mml:mo>&#x000B1;</mml:mo><mml:msup><mml:mn>0.04</mml:mn><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mtext>log&#x000A0;symbiont&#x000A0;</mml:mtext><mml:msup><mml:mtext>density</mml:mtext><mml:mo>&#x02217;</mml:mo></mml:msup></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;log&#x000A0;Ci</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo stretchy='false'>(</mml:mo><mml:msup><mml:mi>R</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn>0.57</mml:mn><mml:mo>,</mml:mo><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>360</mml:mn><mml:mo>,</mml:mo><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mn>157.58</mml:mn><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo>&#x0003C;</mml:mo><mml:mn>0.001</mml:mn><mml:mo stretchy='false'>)</mml:mo><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;Model</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mtext>3</mml:mtext><mml:mo stretchy='false'>)</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
<p>and,</p></list-item>
<list-item><p>increases in <italic>Symbiodinium</italic> Ci result in larger reductions in pigment light absorption efficiency than increases in symbiont density:
<disp-formula id="E8"><mml:math id="M8"><mml:mtable columnalign='left'><mml:mtr><mml:mtd><mml:mtext>log&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:msup><mml:mtext>a</mml:mtext><mml:mo>&#x02217;</mml:mo></mml:msup></mml:mrow><mml:mrow><mml:mtext>Chl</mml:mtext><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mo stretchy='false'>(</mml:mo><mml:msup><mml:mtext>m</mml:mtext><mml:mn>2</mml:mn></mml:msup><mml:mtext>&#x000A0;mg&#x000A0;Chl</mml:mtext><mml:msup><mml:mi>a</mml:mi><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mo stretchy='false'>)</mml:mo><mml:mo>=</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mn>0.97</mml:mn><mml:mo>&#x000B1;</mml:mo><mml:mn>0.02</mml:mn><mml:mo>&#x02212;</mml:mo><mml:mstyle mathvariant='bold' mathsize='normal'><mml:mn>0</mml:mn></mml:mstyle><mml:mo>.</mml:mo><mml:mstyle mathvariant='bold' mathsize='normal'><mml:mn>48</mml:mn></mml:mstyle><mml:mo>&#x000B1;</mml:mo><mml:msup><mml:mn>0.05</mml:mn><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mtext>log&#x000A0;sym&#x000A0;density</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mo>&#x000D7;</mml:mo><mml:msup><mml:mn>1</mml:mn><mml:mn>06</mml:mn></mml:msup><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x00023;</mml:mo><mml:msup><mml:mtext>symcm</mml:mtext><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mstyle mathvariant='bold' mathsize='normal'><mml:mn>0</mml:mn></mml:mstyle><mml:mo>.</mml:mo><mml:mstyle mathvariant='bold' mathsize='normal'><mml:mn>74</mml:mn></mml:mstyle><mml:mo>&#x000B1;</mml:mo><mml:msup><mml:mn>0.03</mml:mn><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mtext>log&#x000A0;Ci</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mtext>mg&#x000A0;Chl</mml:mtext><mml:mi>a</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:msup><mml:mtext>cell</mml:mtext><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup><mml:mo stretchy='false'>)</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mn>0.19</mml:mn><mml:mo>&#x000B1;</mml:mo><mml:msup><mml:mn>0.08</mml:mn><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mtext>log&#x000A0;sym&#x000A0;</mml:mtext><mml:msup><mml:mtext>density</mml:mtext><mml:mo>&#x02217;</mml:mo></mml:msup><mml:mtext>log&#x000A0;Ci</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo stretchy='false'>(</mml:mo><mml:msup><mml:mi>R</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn>0.77</mml:mn><mml:mo>,</mml:mo><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>360</mml:mn><mml:mo>,</mml:mo><mml:mi>F</mml:mi><mml:mo>=</mml:mo><mml:mn>393.86</mml:mn><mml:mo>,</mml:mo><mml:mi>p</mml:mi><mml:mo>&#x0003C;</mml:mo><mml:mn>0.001</mml:mn><mml:mo stretchy='false'>)</mml:mo><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;Model</mml:mtext><mml:mo stretchy='false'>(</mml:mo><mml:mtext>4</mml:mtext><mml:mo stretchy='false'>)</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p></list-item>
</list></p>
<p>Thus, holobionts that distribute their pigmentation over more symbionts at expenses of reducing <italic>Symbiodinium</italic> cell pigmentation will be able to collect more light (A) and more efficiently (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>) reducing holobiont pigment packaging. However, the significant interaction found for symbiont density and Ci in both models indicates that at increasing coral pigmentation the contribution of both parameters to enhance A or reduce a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> is smaller.</p>
<p>Significant differences among species were also detected for these trends (Supplementary Tables <xref ref-type="supplementary-material" rid="SM1">5</xref>, <xref ref-type="supplementary-material" rid="SM1">6</xref>). For example, <italic>O. faveolata</italic> showed the largest scaling factor between a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> and chlorophyll <italic>a</italic> density (&#x02212;0.89 &#x000B1; 0.04, Supplementary Table <xref ref-type="supplementary-material" rid="SM1">3</xref>), significantly larger than the smallest value estimated for <italic>O. annularis</italic> (&#x02212;0.5 &#x000B1; 0.03). These findings indicate that &#x0201C;pigment packaging&#x0201D; within coral tissues presents a relevant species-specific component that still needs to be characterized (Supplementary Tables <xref ref-type="supplementary-material" rid="SM1">3</xref>, <xref ref-type="supplementary-material" rid="SM1">4</xref>).</p>
</sec>
<sec>
<title>Effects of optical traits on holobiont photosynthetic rates</title>
<p>PCA analyses and Pearson correlations highlighted significant colinearities between coral photosynthetic rates and optical descriptors (Tables <xref ref-type="table" rid="T2">2</xref>&#x02013;<xref ref-type="table" rid="T4">4</xref>, Figures <xref ref-type="fig" rid="F3">3</xref>&#x02013;<xref ref-type="fig" rid="F4">4</xref>). The optical trait better related to holobiont photosynthetic rates was a<sup>&#x0002A;</sup><sub>M</sub>, whereas a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> and a<sup>&#x0002A;</sup><sub>sym</sub> showed significant but negative associations with P<sub>max</sub> and P<sub>M</sub> (Table <xref ref-type="table" rid="T4">4</xref>, Figure <xref ref-type="fig" rid="F4">4</xref>). Interestingly, increases in <italic>Symbiodinium</italic> light absorption efficiency (a<sup>&#x0002A;</sup><sub>sym</sub>) were significantly and positively associated with symbiont contribution to holobiont photosynthetic production (P<sub>sym</sub>). The three photosynthetic descriptors (P<sub>max</sub>, P<sub>sym</sub>, and P<sub>M</sub>) were also positively related: a strong Pearson correlation was found between P<sub>max</sub> and P<sub>M</sub>, and a significant association was also observed between P<sub>max</sub> and P<sub>sym</sub> (Table <xref ref-type="table" rid="T4">4</xref>).</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>This comparative characterization of the optical properties of scleractinian corals revealed that the three species with the chalice-type skeleton, <italic>O. annularis, O. faveolata</italic>, and <italic>M. cavernosa</italic>, were able to achieve higher maximum light absorption capacities (A<sub>max</sub> &#x0003E; 90%) than the species with the meandroid skeleton morphology, <italic>P. strigosa</italic> (A<sub>max</sub> &#x0003D; 88%). This finding agrees with the results of a recent description of the variation of the optical properties of coral skeletons, where the meandroid morphotype was categorized as a skeleton with lower abilities to enhance multiple light scattering (Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B20">2017</xref>). The small although significant differences found for the maximum light absorption capacity of the holobiont were also reflected in large variation among species in the amount of pigmentation and/or symbionts required to achieve that maximum, A<sub>max</sub>. <italic>O. faveolata</italic> was the species that showed the highest ability to maximize light absorption at the lowest pigmentation and symbiont densities. In contrast, <italic>M. cavernosa</italic> required the largest pigmentation to maximize light absorption but similar number of symbionts to <italic>O. annularis</italic>. Interestingly, despite the lower A<sub>max</sub> estimated for <italic>P. strigosa</italic>, this species was able to maximize absorptance with one of the lowest number of symbionts and holobiont pigmentation. According to these findings, this first comparison highlighted significant differences among coral species in holobiont capacity and efficiency to collect solar energy, either per unit of pigment or symbiont content. The inter-specific variability documented, however, still supports the extraordinary efficiency of scleractinian corals as solar energy collectors previously documented (Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B21">2005</xref>; Ter&#x000E1;n et al., <xref ref-type="bibr" rid="B66">2010</xref>), as the amount of chlorophyll <italic>a</italic> required to reach maximum absorptance was remarkably lower for three species (&#x0003C;50 mg Chl<italic>a</italic> m<sup>&#x02212;2</sup>) if comparing with terrestrial leaves (&#x0003E;200 mg Chl<italic>a</italic> m<sup>&#x02212;2</sup>; see Carter and Knapp, <xref ref-type="bibr" rid="B9">2001</xref>; Davis et al., <xref ref-type="bibr" rid="B12">2011</xref>) or marine macrophyte tissues (&#x0003E;100 mg Chl<italic>a</italic> m<sup>&#x02212;2</sup>; see Frost-Christensen and Sand-Jensen, <xref ref-type="bibr" rid="B29">1992</xref>; Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B18">1994</xref>). Previous characterizations for <italic>Stylophora pistillata</italic>, which did not consider the contribution of coral skeleton to the emergent optical properties of the coral-symbionts-skeleton unit, were also largely above (120 mg Chl<italic>a</italic> m<sup>&#x02212;2</sup>; see Dubinsky et al., <xref ref-type="bibr" rid="B14">1984</xref>, <xref ref-type="bibr" rid="B15">1990</xref>).</p>
<p>Our comparison also supports that &#x0201C;pigment packaging&#x0201D; (Duysens, <xref ref-type="bibr" rid="B16">1956</xref>) still affects coral tissues. Non-linear reductions in light absorption efficiency, a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>, at increasing coral pigmentation per projected area (cross-section) were found for all species characterized, similarly to previous descriptions for multicellular structures (Enr&#x000ED;quez and Sand-Jensen, <xref ref-type="bibr" rid="B19">2003</xref>; Enr&#x000ED;quez, <xref ref-type="bibr" rid="B17">2005</xref>; Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B21">2005</xref>) and phytoplankton (e.g., Morel and Bricaud, <xref ref-type="bibr" rid="B50">1981</xref>; Kirk, <xref ref-type="bibr" rid="B41">2011</xref>). However, according to models 3 and 4, increases in symbiont density are more effective to counterbalance &#x0201C;pigment packaging&#x0201D; and enhance coral absorptance than increases in <italic>Symbiodinium</italic> cell pigmentation (Ci) in agreement with the results of Ter&#x000E1;n et al. (<xref ref-type="bibr" rid="B66">2010</xref>). These authors documented using Monte Carlo simulations of 2D skeleton models, that changes in the number of symbionts are more effective to collect light than changes in the absorptivity of <italic>Symbiodinium</italic> cells. Hence, the distribution of photosynthetic pigments over a higher number of symbionts results in larger enhancements in coral capacity (absorptance) and efficiency (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>) of light absorption. On the other side, for similar coral pigmentation increases in <italic>Symbiodinium</italic> pigment content (Ci) at the same time that the number of symbionts is reduced, leads to higher &#x0201C;pigment packaging&#x0201D; (lower a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>) within the coral-symbiont-skeleton unit. This coral structural adjustment produces a more inefficient holobiont to collect solar energy, but with perhaps functional advantages under increasing levels of light stress. Our comparative study also highlighted a species-specific component in that &#x0201C;pigment packaging,&#x0201D; which needs still to be characterized. This component has to be related to the optical properties of coral skeletons, optical properties of <italic>Symbiodinium</italic> cells (i.e., cell diameter and pigment content, Ci), coral tissue thickness, <italic>Symbiodinium</italic> distribution within coral tissue, and also species plasticity for changing symbiont content and <italic>Symbiodinium</italic> cell pigmentation (Ci). Among them, variation in the optical properties of coral skeleton, tissue thickness, and species plasticity for changing symbiont content and <italic>Symbiodinium</italic> cell pigmentation (Ci), are more likely the most important coral traits involved in the regulation of holobiont optical properties.</p>
<p>Seasonal changes in the number of symbionts and in <italic>Symbiodinium</italic> Ci (e.g., Brown et al., <xref ref-type="bibr" rid="B6">1999</xref>; Fagoonee et al., <xref ref-type="bibr" rid="B23">1999</xref>; Fitt et al., <xref ref-type="bibr" rid="B26">2000</xref>) may express the optimization of holobiont optical properties to: (i) minimize pigment packaging under optimal conditions or decreasing light levels; or (ii) enhance photoprotection under increasing light stress. Therefore, we propose that the summer coral phenotype recently documented by Scheufen et al. (<xref ref-type="bibr" rid="B58">2017</xref>) characterized by increasing <italic>Symbiodinium</italic> Ci at the same time that the number of symbionts is reduced, may be the optimal holobiont adjustment to the seasonal increase in seawater temperature, in order to enhance the high-light photoprotective response of <italic>Symbiodinium in hospite</italic>. However, too large increases in <italic>Symbiodinium</italic> Ci at reduced number of symbionts may produce a more sensitive holobiont under high light and/or heat stress conditions, as small loses in the number of cells will lead to larger changes in coral pigmentation and thus, larger enhancements in a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> (Figure <xref ref-type="fig" rid="F7">7</xref>). The extremely high a<sup>&#x0002A;</sup> values found for the bleached phenotype supports the relevance of this optical descriptor to determine a functional &#x0201C;tipping point&#x0201D; for this symbiosis, set when a<sup>&#x0002A;</sup> rises to levels unacceptable for maintaining symbiont photosynthesis due to extremely high local light fields for <italic>Symbiodinium</italic>. In contrast, winter increases in the number of symbionts may require reductions in <italic>Symbiodinium</italic> Ci to counterbalance pigment packaging and enhance the penetration of light into coral tissues to illuminate sufficiently the different symbiont layers. This adjustment would be particularly important for coral species with skeletons with reduced efficiency to enhance multiple light scattering (Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B20">2017</xref>). In the holobiont acclimatization to summer, however, the decrease in the number of symbionts would result in very efficient holobionts to collect solar energy (high a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>) but with higher risk of reaching the bleached phenotype under light and/or heat stress, if such declines are not associated with increases in <italic>Symbiodinium</italic> Ci (Figure <xref ref-type="fig" rid="F7">7</xref>). According to this interpretation, the functional link between structural and optical coral traits could explain the effect of changes in the number of symbionts and/or <italic>Symbiodinium</italic> Ci on holobiont performance, irrespective of the occurrence or not of additional changes in the dominant <italic>Symbiodinium</italic> type, and thus, in the physiological response of the symbionts. In this study, we did not characterize these changes, but previous descriptions of the variability of <italic>Symbiodinium</italic> dominant type for the four species investigated from the reef lagoon of Puerto Morelos (Mexico) have reported the presence of C3d (C3e) in <italic>M. cavernosa</italic>; B1 and C1 types in <italic>P. strigosa</italic>; and C7 and D1a/<italic>Symbiodinium trenchii</italic> in <italic>O. faveolata</italic> (LaJeunesse, <xref ref-type="bibr" rid="B43">2002</xref>). A more detailed study by Kemp et al. (<xref ref-type="bibr" rid="B40">2015</xref>) on <italic>O. faveolata</italic> growing at the &#x0201C;Bocana&#x0201D; in the reef lagoon of Puerto Morelos, reported the presence of A3, B1, B17, C17, and D1a/<italic>S. trenchii</italic>. With respect to <italic>O. annularis</italic> LaJeunesse (<xref ref-type="bibr" rid="B43">2002</xref>) documented the presence of B1, C3, and D1a/<italic>S. trenchii</italic> in corals collected from reefs at Lee Stocking islands, in Bahamas. From our own previous analyses, we found A3 and B1 in <italic>O. annularis</italic> and A3, B17, C7, and D1a/<italic>S. trenchii</italic> in <italic>O. faveolata</italic>, in colonies growing at similar sites and depths to those analyzed in this study from the reef lagoon of Puerto Morelos (unpublished data). Such variability in the dominant <italic>Symbiodinium</italic> type could also help to explain part of the variation not accounted in this study for a<sup>&#x0002A;</sup> and P<sub>max</sub>.</p>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p>Theoretical scheme of the modulating effect of <italic>Symbiodinium</italic> Ci on the association of a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> with changes in symbiont density. The lower (dark green) line shows the variation of a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> with a constant Ci calculated form the standard deviation above the mean Ci (high Ci condition). The upper (light green) line shows the variation with a constant Ci value calculated from the standard deviation below the mean Ci. The green arrow indicates the direction of a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub> increases when a stable symbiont density decreases its Ci. The upper trajectory leads to faster increase in a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>, but also a higher risk of collection too much light under heat stress and suffering higher photo-damage. The real trajectories for each species can be found in Supplementary Figure <xref ref-type="supplementary-material" rid="SM1">1</xref>.</p></caption>
<graphic xlink:href="fmars-04-00309-g0007.tif"/>
</fig>
<sec>
<title>Structural and functional variability among coral species</title>
<p>PCA was able to describe 80% of the inter-specific variability displayed by non-stressed holobionts (Figure <xref ref-type="fig" rid="F4">4</xref>), highlighting relevant association of variation between structural and functional traits. The first component (PC1) discriminated between the species with the ability to harbor high number of symbionts, the two <italic>Orbicellas</italic>, and <italic>P. strigosa</italic> and <italic>M. cavernosa</italic>, two species characterized by thick tissues (high host soluble protein content) and highly pigmented symbionts. The second component (PC2) distinguished between highly pigmented (<italic>O. faveolata</italic> and <italic>M. cavernosa</italic>) and less pigmented species (<italic>O. annularis</italic> and <italic>P. strigosa</italic>). Thus, the reduced host mass and high number of symbionts of the two <italic>Orbicellas</italic> allowed these species to achieve higher light absorption efficiency and photosynthetic production per mass (a<sup>&#x0002A;</sup><sub>M</sub> and P<sub>M</sub>). Accordingly, the &#x0201C;evolutionary solution&#x0201D; represented by the two <italic>Orbicellas</italic>, but in particular by <italic>O. annularis</italic> characterized by low pigmented thin tissues, has produced holobionts with high efficiency for solar energy collection (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>) and high photosynthetic returns to the host (P<sub>M</sub>). The third component (PC3) of the PCA analysis accounted for the effect on holobiont photosynthetic production (P<sub>max</sub>) of the interspecific structural and optical variability analyzed in this study. This component showed that the most productive holobionts (P<sub>max</sub>) tend to present lower light absorption efficiencies for both symbiotic partners, host (a<sup>&#x0002A;</sup><sub>M</sub>) and <italic>Symbiodinium</italic> (a<sup>&#x0002A;</sup><sub>sym</sub>), and harbor symbionts with lower Ci values (Table <xref ref-type="table" rid="T2">2</xref>, Figure <xref ref-type="fig" rid="F4">4</xref>). All these associations of variation between structural and functional coral traits support the potential of this approach to understand differences among coral species in the advantages or constraints that these symbioses may provide to the holobiont and to each member of the mutualistic association, the animal and the alga. Furthermore, a trade-off between increases in the number of symbionts and reductions in <italic>Symbiodinium</italic> Ci may be inferred from this analysis. The first strategy requires higher light scattering abilities of coral skeleton (Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B20">2017</xref>) to offset the packaging effect, enhance the local light field of <italic>Symbiodinium</italic> and ensure higher benefits for the host (P<sub>M</sub> and a<sup>&#x0002A;</sup><sub>M</sub>). In contrast, the ecological and/or evolutionary success of the second option would primarily depend on the capacity of <italic>Symbiodinium</italic> to maximize light collection efficiency (a<sup>&#x0002A;</sup><sub>sym</sub>) and its contribution to holobiont photosynthetic production (P<sub>sym</sub>).</p>
</sec>
<sec>
<title>Structural and functional variability among coral phenotypes</title>
<p>In addition to these inter-specific differences, our comparison also revealed common changes among species for the heat-stressed and bleached coral phenotypes. Indeed, PCA analysis allowed distinction between the bleached and the heat-stressed samples (Figure <xref ref-type="fig" rid="F5">5</xref>). Changes in holobiont photosynthesis (P<sub>max</sub>), positively associated with a<sup>&#x0002A;</sup><sub>M</sub> and negatively with a<sup>&#x0002A;</sup><sub>sym</sub> and a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>, were able to describe 40% of the variability contained in the whole data set (PC1). This finding supports previous conclusions by Scheufen et al. (<xref ref-type="bibr" rid="B58">2017</xref>), who documented that the bleached coral phenotype is determined by the full suppression of coral photosynthesis and large increases in the light absorption efficiency of <italic>Symbiodinium</italic> (a<sup>&#x0002A;</sup><sub>sym</sub>) and the holobiont (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>). We also found here that the un-stressed holobiont condition was better described by a<sup>&#x0002A;</sup><sub>M</sub>, which may quantify the efficiency of the symbiosis to return to the host the solar energy collected (Table <xref ref-type="table" rid="T3">3</xref>). The second (PC2) and third (PC3) components, which increased the variability explained to 66 and 87%, respectively, discriminated between two un-stressed holobionts: one that favors enhancing the photosynthetic contribution of <italic>Symbiodinium</italic> to holobiont production (P<sub>sym</sub>); and a second strategy that favors enhancing the benefits for the host (P<sub>M</sub> and a<sup>&#x0002A;</sup><sub>M</sub>). According to this, PC1 described the evolution of the stressed phenotype of all species toward a common bleached condition; whereas PC2 and PC3 allowed distinction among un-stressed species and/or seasonal phenotypes.</p>
<p>Another conclusion of this analysis in agreement with Scheufen et al. (<xref ref-type="bibr" rid="B58">2017</xref>), is that reductions in coral pigmentation are insufficient to define the bleached coral phenotype. Yet, other holobiont descriptors in addition to coral color are needed to determine the dysfunctional condition of these ancient symbioses. Coral photosynthetic rates appeared as the strongest descriptors, but our study supports the capacity of optical traits to recognize a bleached coral (Figure <xref ref-type="fig" rid="F3">3</xref>). Severe reductions in coral absorptance (A), but also dramatic increases in light absorption efficiency of chlorophyll <italic>a</italic> (a<sup>&#x0002A;</sup><sub>Chl<italic>a</italic></sub>) and light absorption efficiency of <italic>Symbiodinium</italic> (a<sup>&#x0002A;</sup><sub>sym</sub>) can be used to differentiate an stressed coral from a dysfunctional symbiosis. More work is, however, needed to fully understand the natural variability displayed by coral optical traits and its relation to holobiont performance and colonial growth.</p>
<p>Micro-scale approaches are useful tools for the characterization of the internal light fields of the symbionts (K&#x000FC;hl et al., <xref ref-type="bibr" rid="B42">1995</xref>; Wangpraseurt et al., <xref ref-type="bibr" rid="B70">2012</xref>, <xref ref-type="bibr" rid="B69">2014</xref>, <xref ref-type="bibr" rid="B68">2016</xref>; Brodersen et al., <xref ref-type="bibr" rid="B5">2014</xref>). This approach has documented the presence of light gradients (Wangpraseurt et al., <xref ref-type="bibr" rid="B70">2012</xref>) and lateral light transfer within coral tissues (Wangpraseurt et al., <xref ref-type="bibr" rid="B69">2014</xref>), which apparently are more pronounced in corals with thicker tissues. Optical characterizations of coral skeletons (e.g., Enr&#x000ED;quez et al., <xref ref-type="bibr" rid="B21">2005</xref>, <xref ref-type="bibr" rid="B20">2017</xref>; Ter&#x000E1;n et al., <xref ref-type="bibr" rid="B66">2010</xref>; Marcelino et al., <xref ref-type="bibr" rid="B48">2013</xref>) are also fundamental to understand the direct contribution of the skeleton to modify the internal light field of <italic>Symbiodinium</italic>. In addition to these approaches, the understanding of the optical properties of the whole coral-alga-skeleton unit cannot be overlooked, as it is central to recognize differences among species and phenotypes in coral performance and competitive abilities. Our analysis is a first attempt to investigate this potential, analyzing the optical properties for four coral species. Further research is still needed to characterize the diversity of structural and functional solutions achieved by these ancient symbioses along their evolutionary history, and the utility of optical coral traits for the development of the coral <italic>Trait-based approach</italic> proposed by Madin et al. (<xref ref-type="bibr" rid="B47">2016</xref>).</p>
</sec>
</sec>
<sec id="s5">
<title>Author contributions</title>
<p>SE and RI designed research, TS performed research, TS and SE analyzed data and wrote the paper. All authors contributed to the final edited version of the manuscript.</p>
<sec>
<title>Conflict of interest statement</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
</sec>
</body>
<back>
<ack><p>Two Mexican research projects granted to SE, DGAPA (IN206710), and CONACYT (Conv-CB-2009: 129880), and an European project (PFP7-FORCE-244161) provided financial support to this research. This research was part of the PhD thesis of TS in the program <italic>Posgrado en Ciencias del Mar y Limnolog</italic>&#x000ED;<italic>a (PCMyL)</italic> of the Universidad Nacional Aut&#x000F3;noma de M&#x000E9;xico (UNAM). The Consejo Nacional de Ciencia y Tecnolog&#x000ED;a (CONACyT) is acknowledged for providing 3 years fellowship to support TS during his PhD program and the FORCE project is also acknowledged for providing 1 year fellowship to TS. The experiments performed in this work comply with the current laws of Mexico. An ethics approval was not required as per national regulations. The study was supported by two Mexican permits: &#x0201C;Permiso de Pesca de Fomento&#x0201D; No DGOPA.07342.010810.4121, to SE; and No DGOPA.08606.251011.3021, to RI; issued by the Secretar&#x000ED;a de Agricultura, Ganader&#x000ED;a, Desarrrollo rural, Pesca y Alimentaci&#x000F3;n of the United States of Mexico, to support, respectively, the development of the projects: &#x0201C;<italic>Evaluaci&#x000F3;n del efecto de la limitaci&#x000F3;n de carbono sobre diferentes productores primarios de la laguna arrecifal de Puerto Morelos: Importancia de la calcificaci&#x000F3;n</italic>&#x0201D;; and &#x0201C;<italic>Efectos del calentamiento y acidificaci&#x000F3;n del Oc&#x000E9;ano en las tasas de calcificaci&#x000F3;n de los corales</italic>.&#x0201D;</p>
</ack>
<sec sec-type="supplementary-material" id="s6">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="http://journal.frontiersin.org/article/10.3389/fmars.2017.00309/full#supplementary-material">http://journal.frontiersin.org/article/10.3389/fmars.2017.00309/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table1.PDF" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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