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 <!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.0 20120330//EN" "http://jats.nlm.nih.gov/publishing/1.0/JATS-journalpublishing1.dtd"> <article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="research-article" dtd-version="1.0" xml:lang="en">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">JE</journal-id>
      <journal-title-group>
        <journal-title>Journal of Embryology</journal-title>
      </journal-title-group>
      <issn pub-type="epub">3070-5657</issn>
      <publisher>
        <publisher-name>Open Access Pub</publisher-name>
        <publisher-loc>United States</publisher-loc>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.14302/issn.3070-5657.je-17-1759</article-id>
      <article-id pub-id-type="publisher-id">JE-17-1759</article-id>
      <article-categories>
        <subj-group>
          <subject>research-article</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Reaction Norm of Embryo Growth Rate Dependent on Incubation Temperature in The Olive Ridley Sea Turtle, Lepidochelys Olivacea, from Pacific Central America </article-title>
        <alt-title alt-title-type="running-head">reaction norm of embryo growth rate</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Berta</surname>
            <given-names>Alejandra Morales-Mérida</given-names>
          </name>
          <xref ref-type="aff" rid="idm1841971460">1</xref>
          <xref ref-type="aff" rid="idm1841972108">2</xref>
          <xref ref-type="aff" rid="idm1841969228">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Dulce</surname>
            <given-names>M. Bustamante</given-names>
          </name>
          <xref ref-type="aff" rid="idm1841969444">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Jonathan</surname>
            <given-names>Monsinjon</given-names>
          </name>
          <xref ref-type="aff" rid="idm1841972108">2</xref>
          <xref ref-type="aff" rid="idm1841969228">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Marc</surname>
            <given-names>Girondot</given-names>
          </name>
          <xref ref-type="aff" rid="idm1841972108">2</xref>
          <xref ref-type="aff" rid="idm1841969228">3</xref>
          <xref ref-type="aff" rid="idm1842062516">*</xref>
        </contrib>
      </contrib-group>
      <aff id="idm1841971460">
        <label>1</label>
        <addr-line>School of Biology, Faculty of Chemical Sciences and Pharmacy, San Carlos University of Guatemala</addr-line>
      </aff>
      <aff id="idm1841972108">
        <label>2</label>
        <addr-line>Laboratoire Écologie, Systématique et Évolution (UMR8079), Faculté des Sciences d’Orsay, Université Paris-Sud, 91405 Orsay, France</addr-line>
      </aff>
      <aff id="idm1841969228">
        <label>3</label>
        <addr-line>AgroParisTech, CNRS, 91405 Orsay, France</addr-line>
      </aff>
      <aff id="idm1841969444">
        <label>4</label>
        <addr-line>Laboratory of Applied Entomology and Parasitology, School of Biology, Faculty of Chemical Sciences and Pharmacy, San Carlos University of Guatemala</addr-line>
      </aff>
      <aff id="idm1842062516">
        <label>*</label>
        <addr-line>Corresponding author</addr-line>
      </aff>
      <contrib-group>
        <contrib contrib-type="editor">
          <name>
            <surname>Adriana</surname>
            <given-names>Cortés-Gómes</given-names>
          </name>
          <xref ref-type="aff" rid="idm1841820284">1</xref>
        </contrib>
      </contrib-group>
      <aff id="idm1841820284">
        <label>1</label>
        <addr-line>Laboratoire d'Ecologie, Systématique et Evolution. Université Paris-Sud, Email: adriana.niobe@gmail.com </addr-line>
      </aff>
      <author-notes>
        <corresp>
    
    Marc Girondot, <addr-line>Laboratoire</addr-line><addr-line>Écologie</addr-line><addr-line>, </addr-line><addr-line>Systématique</addr-line><addr-line> et </addr-line><addr-line>Évolution</addr-line><addr-line> (UMR8079), Faculté des Sciences d’Orsay, Université Paris-Sud, 91405 Orsay, France</addr-line> Phone <phone>+33 6 20 18 22 16</phone>, Fax: <fax>+33 1 69 15 56 96</fax>. Email: <email>marc.girondot@u-psud.fr</email></corresp>
        <fn fn-type="conflict" id="idm1849218060">
          <p>The authors have declared that no competing interests exist.</p>
        </fn>
      </author-notes>
      <pub-date pub-type="epub" iso-8601-date="2017-12-19">
        <day>19</day>
        <month>12</month>
        <year>2017</year>
      </pub-date>
      <volume>1</volume>
      <issue>1</issue>
      <fpage>12</fpage>
      <lpage>24</lpage>
      <history>
        <date date-type="received">
          <day>06</day>
          <month>09</month>
          <year>2017</year>
        </date>
        <date date-type="accepted">
          <day>27</day>
          <month>11</month>
          <year>2017</year>
        </date>
        <date date-type="online">
          <day>19</day>
          <month>12</month>
          <year>2017</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© </copyright-statement>
        <copyright-year>2017</copyright-year>
        <copyright-holder>Berta Alejandra Morales-Mérida, et al.</copyright-holder>
        <license xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">
          <license-p>This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
        </license>
      </permissions>
      <self-uri xlink:href="http://openaccesspub.org/je/article/653">This article is available from http://openaccesspub.org/je/article/653</self-uri>
      <abstract>
        <p>Olive ridleys (<italic>Lepidochelys</italic><italic> olivacea</italic>) and loggerheads (<italic>Caretta caretta</italic>) are two closely phylogenetically related sea turtles that nest in very different thermal habitat. Olive ridleys nest in pan-tropical beaches whereas loggerheads nest in more temperate beaches. In the context of climate change, the temperature in temperate beaches will increase much more than for tropical beach due to buffering effect of air humidity in the later. We have determined the thermal reaction norm for embryonic growth in both species using field records of incubation temperatures and incubation length from loggerheads in Western Mediterranean Sea or olive ridleys from Pacific coast of Guatemala. We show that the optimum temperature for the growth of embryos is lower for loggerheads than for olive ridleys. This makes loggerhead turtles particularly sensitive to increase of beach temperature as it is expected due to effect of global warming in temperature regions. Furthermore, olive ridleys are more resilient to increase of temperatures and should not suffer from sublethal incubation temperatures.</p>
      </abstract>
      <kwd-group>
        <kwd>Growth</kwd>
        <kwd>Embryo</kwd>
        <kwd>temperature</kwd>
        <kwd>Growth model</kwd>
        <kwd>Sea turtle</kwd>
        <kwd>Lepidochelys olivacea</kwd>
        <kwd>Caretta caretta</kwd>
      </kwd-group>
      <counts>
        <fig-count count="6"/>
        <table-count count="0"/>
        <page-count count="13"/>
      </counts>
    </article-meta>
  </front>
  <body>
    <sec id="idm1841815172" sec-type="intro">
      <title>Introduction</title>
      <p>Global warming presents major challenges to organisms <xref ref-type="bibr" rid="ridm1842702724">1</xref><xref ref-type="bibr" rid="ridm1842704884">2</xref>. There is a pressing need in conservation biology and climate change research for cross-species, quantitative, objective criteria for assessing the susceptibility of species to climate change-induced extinction <xref ref-type="bibr" rid="ridm1842712204">3</xref>. Overall, current estimates of biodiversity loss due to climate change are very variable, depending on the method, taxonomic group, metrics, spatial and seasonal scales considered <xref ref-type="bibr" rid="ridm1842803564">4</xref>. Yet, the majority of studies indicate alarming consequences for biodiversity, with the worst-case scenarios leading to extinction rates that would qualify as the sixth mass extinction in the history of the earth <xref ref-type="bibr" rid="ridm1842556716">5</xref>.</p>
      <p>One attempt to address this shortcoming is phenomenological, using climatic descriptions of contemporary ranges coupled with expected temperatures to predict future ranges <xref ref-type="bibr" rid="ridm1842561612">6</xref>. These bioclimatic models are best case scenarios because, while they reflect existing interspecific differences in projected ranges under global warming, they also implicitly assume that all species have similar potential to access and exploit predicted climate space. The insidious threat from climate change is that it will weaken or preclude ecological responses by species that are physiologically constrained; yet, quantitative, objective criteria for assessing relative susceptibility of diverse taxa to warming-induced stress are wanting <xref ref-type="bibr" rid="ridm1842712204">3</xref>. Consequently, biologists are endeavouring to develop robust ways to evaluate the differential vulnerability of organisms to climate change <xref ref-type="bibr" rid="ridm1842548132">7</xref> and then to evaluate and implement management strategies tailored for species judged most at risk <xref ref-type="bibr" rid="ridm1842553388">8</xref>.</p>
      <p>The extent of adaptive variation in heat-tolerance is likely to have important consequences for the resilience of many ectothermic species in a rapidly warming world <xref ref-type="bibr" rid="ridm1842543484">9</xref><xref ref-type="bibr" rid="ridm1842539812">10</xref><xref ref-type="bibr" rid="ridm1842522860">11</xref><xref ref-type="bibr" rid="ridm1842520844">12</xref><xref ref-type="bibr" rid="ridm1842518324">13</xref>. This has led to calls for an ‘adaptive evolutionary’ approach to conservation, which seeks to conserve functional diversity (rather than simply genetic marker diversity) at whatever scale it occurs <xref ref-type="bibr" rid="ridm1842513212">14</xref>.</p>
      <p><italic>Lepidochelys</italic><italic> olivacea</italic>, the olive ridley, and <italic>Caretta </italic><italic>caretta</italic>, the loggerhead, are two phylogenetically closely related sea turtles <xref ref-type="bibr" rid="ridm1842527900">15</xref> that nest in very different thermal habitats. Olive ridley turtles nest in intertropical zone while loggerheads nest in more temperate beaches <xref ref-type="bibr" rid="ridm1842503044">16</xref>. Virtually all biological rates are affected by temperature including development duration <xref ref-type="bibr" rid="ridm1842496636">17</xref> and growth rates <xref ref-type="bibr" rid="ridm1842493468">18</xref> of ectothermic animals. Egg incubation temperatures affect the duration of embryogenesis <xref ref-type="bibr" rid="ridm1842490300">19</xref>, the probability of embryo survival <xref ref-type="bibr" rid="ridm1842505564">20</xref><xref ref-type="bibr" rid="ridm1842481932">21</xref>, the sex determination for species with temperature-dependent sex determination such as <italic>Caretta </italic><italic>caretta</italic><xref ref-type="bibr" rid="ridm1842476676">22</xref> and the performance, the morphology, and body size at hatching <xref ref-type="bibr" rid="ridm1842481932">21</xref><xref ref-type="bibr" rid="ridm1842474300">23</xref>. In addition, long-term effects of incubation temperature on the physiology and behaviour of hatchlings has been observed <xref ref-type="bibr" rid="ridm1842468756">24</xref><xref ref-type="bibr" rid="ridm1842449452">25</xref>. Thus, the fitness of developing embryos is strongly dependent on the temperature within the nest during incubation. <xref ref-type="fig" rid="idm1841754180">Figure 1</xref></p>
      <fig id="idm1841754180">
        <label>Figure 1.</label>
        <caption>
          <title> Map of Central America with greyed Guatemala. Monterrico nesting beach is indicated by a black point within the Monterrico Natural Reserve for Multiple Uses (Reserva Natural de Usos Múltiple Monterrico).</title>
        </caption>
        <graphic xlink:href="images/image1.jpg" mime-subtype="jpg"/>
      </fig>
      <p>Recently, a general way to model sigmoidal embryo growth with variable incubation temperature during development obtained from <italic>in situ</italic> sea turtle nests has been proposed and tested with data from <italic>Caretta </italic><italic>caretta</italic> from Dalyan beach, Turkey <xref ref-type="bibr" rid="ridm1842447580">26</xref>. New data of incubation temperatures and incubation durations have been gathered in 2011-2012 for <italic>Lepidochelys</italic><italic> olivacea</italic> nesting in Guatemala Pacific coast. These data have permitted to estimate the thermal reaction norm for the embryo growth for this species and to compare this pattern with the loggerhead one.</p>
    </sec>
    <sec id="idm1841773548" sec-type="materials">
      <title>Materials and Methods</title>
      <sec id="idm1841774124">
        <title>Field Data</title>
        <p>  Olive Ridley sea turtles nest along all of the Pacific Coast of Guatemala. Egg collection for human consumption is authorized as long as 20% of the eggs of each collected nest is given to hatcheries located along all the littoral <xref ref-type="bibr" rid="ridm1842443332">27</xref>. A total of 1,600 eggs collected on the previous night were bought to various collectors. The dates of incubation beginning were as followed: 16/11/2011 - 140 eggs; 22/11/2011 - 120 eggs; 23/11/2011 - 160 eggs; 24/11/2011 - 1000 eggs; 25/11/2011 - 160 eggs; 26/11/2011 - 20 eggs. We had no control on how the eggs were handled during the previous night but the hatching success was very high. Eggs were grouped in 80 nests (20 randomly selected eggs per nest) in this experiment. Among them, 40 have been incubated in hatchery (hatchery nests) and 40 have been used in 4 different experiments (experimental nests). Half of these 40 nests were buried in sand at 40 cm depth and half at 60 cm depth. Among each group of these 40 experimental nests, half (10) have been incubated in open beach under full shade and half (10) in full sun. Experiment was conducted at the hatchery of the Monterrico Natural Reserve for Multiple Uses.</p>
      </sec>
      <sec id="idm1841773908">
        <title>Analysis of Incubation Data</title>
        <p>Incubation time, longitudinal ttemperatures and 10 hatchling straight carapace lengths at the nearest 0.1 mm were registered for all monitored nests. Mean incubation temperatures and incubation durations were analysed using linear model <xref ref-type="bibr" rid="ridm1842437068">28</xref> and hatchling sizes were analysed using linear mixed model with nest identity as a random factor <xref ref-type="bibr" rid="ridm1842435340">29</xref>. In all cases, fixed factors were depth of nests (40 or 60 cm) and with or without shade and their interaction. Mean incubation temperature and its first order interaction with other factors were added for analysis of mean incubation duration and hatchling size. A backward model selection was used by removing the least non-significant factor one at a time. A single factor was not removed if it was significant when involved in an interaction. F test after ANOVA (ANalysis Of VAriance) was used to detect the influence of factors after linear model <xref ref-type="bibr" rid="ridm1842437068">28</xref> and Likelihood Ratio Test (LRT) test after ANOVA was used to detect the influence of factors after linear mixed model using R package glmmADMB <xref ref-type="bibr" rid="ridm1842426508">30</xref>.</p>
        <p>The variability of daily temperatures among nests was measured as the mean of the daily standard deviation of temperatures recorded in nests from each treatment (shading status and depth). Welch modified two-sample t-test with unequal variances were used to test the treatments effect (depth and shading) <xref ref-type="bibr" rid="ridm1842420460">31</xref>.</p>
      </sec>
      <sec id="idm1841774268">
        <title>Thermal Growth Rate Reaction Norm</title>
        <p>The model of embryo growth integrates in a single framework both the growth rate dependency on temperature and the embryo growth <xref ref-type="bibr" rid="ridm1842447580">26</xref>. The parameters for growth rate dependency on temperature that maximized the logarithm of the likelihood (<italic>Ln L</italic>) of the observed hatchling size distribution were search for using the R package embryogrowth <xref ref-type="bibr" rid="ridm1842419092">32</xref>. The model is summarized here briefly but a complete description can be found in the original publication <xref ref-type="bibr" rid="ridm1842447580">26</xref>.</p>
        <p>Biological temperature-dependent rate models based on Arrhenius’ and Eyring’s equations have been formulated by Sharpe and DeMichele <xref ref-type="bibr" rid="ridm1842417292">33</xref>. The original formulation of Sharpe and DeMichele was modified by Schoolfield <italic>et al. </italic><xref ref-type="bibr" rid="ridm1842413044">34</xref> to remove the very high correlations of parameter estimators. Two kinds of equations using 4 or 6 parameters produced a curve with a maximum at an intermediate temperature and decreased bellow and above this temperature. The level as well as the position of the maximum can be manipulated using the parameters values.</p>
        <p>The early growth of embryos is modelled using a modification of the Gompertz model <xref ref-type="bibr" rid="ridm1842408940">35</xref> proposed by Laird <xref ref-type="bibr" rid="ridm1842405844">36</xref> (eqn 1):</p>
        <p><inline-graphic xlink:href="images/image2.png" mime-subtype="png"/>         eqn 1</p>
        <p>       Where X(0) is the size or mass at nesting time (time=0), <italic>r</italic>(<italic>T</italic>) is the growth rate at the beginning of the curve, and K is the carrying capacity with  </p>
        <fig id="idm1841743660">
          <graphic xlink:href="images/image3.png" mime-subtype="png"/>
        </fig>
        <p><italic>X</italic><sub><italic>H</italic></sub> is the hatchling size and <italic>r</italic><sub><italic>K</italic></sub>=2.09 is a constant used to slowdown growth at the end of incubation <xref ref-type="bibr" rid="ridm1842447580">26</xref> to ensure that embryological stages are well positioned during incubation. </p>
        <p>The dynamic of <italic>X </italic>(<italic>t </italic>)is governed by the Gompertz differential equation (eqn 2):</p>
        <p><inline-graphic xlink:href="images/image4.png" mime-subtype="png"/>      eqn 2</p>
        <p>The gastrula is approximately a disk of 1.7 mm diameter and this size will be used as <italic>X</italic> (0) <xref ref-type="bibr" rid="ridm1842402748">37</xref>.</p>
      </sec>
      <sec id="idm1841765172">
        <title>Model Fitting</title>
        <p>Growth rate<italic> r</italic>(<italic>T</italic>) can be calculated with models (4 or 6 parameters) from Schoolfield et al. <xref ref-type="bibr" rid="ridm1842413044">34</xref> model and an incubation temperature <italic>T</italic>. With <italic>X</italic>(0) and <italic>K</italic>, and a time-series of <italic>r</italic>(<italic>T</italic>), the pattern of change of embryo size for this nest is evaluated using Runge-Kutta method of order 4 for the approximation of solutions of ordinary differential equations.</p>
        <p>Estimation of parameters was performed using maximum likelihood with an identity link and a Gaussian distribution of SCL. The standard error of parameters was estimated using the square-root of the inverse of the Hessian matrix which is an asymptotic approximation of the variance-covariance matrix <xref ref-type="bibr" rid="ridm1842398932">38</xref>. The models are implemented in the R package embryogrowth <xref ref-type="bibr" rid="ridm1842419092">32</xref>.</p>
      </sec>
      <sec id="idm1841764452">
        <title>Comparison Between Sets of Data</title>
        <p>First, growth rate <italic>r</italic>(<italic>T</italic>) has been fitted for hatchery and experimental <italic>Lepidochelys</italic><italic> olivacea</italic> nests separately. Next, all the nests were grouped in a single dataset and growth rate <italic>r</italic>(<italic>T</italic>) has been fitted again. We used AIC and Akaike weight to select between 4 and 6-parameters models. AIC is a measure of the relative quality of fit, which penalized for too many parameters in the model <xref ref-type="bibr" rid="ridm1842427876">39</xref> and Akaike weight gives the relative statistical support of several models tested on the same dataset <xref ref-type="bibr" rid="ridm1842373924">40</xref>. Likelihood ratio test has been used to test whether a single model for hatchery and experimental nests was sufficient or not to describe observed data. </p>
        <p>The statistics  <inline-graphic xlink:href="images/image5.png" mime-subtype="png"/></p>
        <p>(Likelihood Ratio Test,  with <italic>Ln L</italic> being the logarithm of the likelihood) is distributed as a χ<xref ref-type="bibr" rid="ridm1842704884">2</xref> with the degrees of freedom being the difference of number of parameters between the most complete model and the simplest one <xref ref-type="bibr" rid="ridm1842371476">41</xref>.</p>
      </sec>
    </sec>
    <sec id="idm1841759340" sec-type="results">
      <title>Results</title>
      <sec id="idm1841759916">
        <title>Analysis of Incubation Data</title>
        <p>Distribution of temperatures recorded in the 80 <italic>Lepidochelys</italic><italic> olivacea</italic> nests from the beach of Monterrico, Guatemala are shown in <xref ref-type="fig" rid="idm1841693620">Figure 2</xref> as well as the temperatures recorded in <italic>Caretta </italic><italic>caretta</italic> nests from Turkey <xref ref-type="bibr" rid="ridm1842366724">42</xref>. Average incubation temperatures for the 80 nests ranges from 29.11 °C to 33.56 °C (mean=31.00 °C, sd=1.53 °C). Shaded nests were significantly cooler than those exposed to the sun by 2.11 °C (paired t-tests with Bonferonni correction, p&lt;10<sup>-9</sup>). Nests from hatchery were also significant cooler than the experimental ones (paired t-tests with Bonferonni correction, 1.32 °C difference between hatchery <italic>vs</italic> shaded, p&lt;10<sup>-9</sup> and 3.44 °C difference hatchery <italic>vs</italic> sun, p&lt;10<sup>-9</sup>) (<xref ref-type="fig" rid="idm1841689948">Figure 3</xref>A). Among the experimental nests, only shading status was significant <inline-graphic xlink:href="images/image6.png" mime-subtype="png"/> to explain the difference between nests for average incubation temperatures. Depth and interaction between  shading status  and depth were not significant<inline-graphic xlink:href="images/image7.png" mime-subtype="png"/>   and  <inline-graphic xlink:href="images/image8.png" mime-subtype="png"/>   respectively).</p>
        <fig id="idm1841693620">
          <label>Figure 2.</label>
          <caption>
            <title> Temperatures recorded in hatchery (A) and experimental (B) Lepidochelys olivacea nests from Monterrico, Guatemala. As a comparison, temperatures recorded in 21 Caretta caretta nests from Turkey are shown 42 (C).</title>
          </caption>
          <graphic xlink:href="images/image9.jpg" mime-subtype="jpg"/>
        </fig>
        <p>Incubation duration ranged from 43 to 55 days (mean=49.86 days, sd=3.63). Significant effect of mean incubation temperature and shading status for experimental data was observed  <inline-graphic xlink:href="images/image10.png" mime-subtype="png"/> and  <inline-graphic xlink:href="images/image11.png" mime-subtype="png"/> respectively) but not of depth as well as all interactions (all p&gt;0.1). Incubation duration was longer for cooler temperatures and shaded nests (<xref ref-type="fig" rid="idm1841689948">Figure 3</xref>B).</p>
        <fig id="idm1841689948">
          <label>Figure 3.</label>
          <caption>
            <title> Descriptive statistics of incubation data for Lepidochelys olivacea nests from Monterrico, Guatemala plotted according to the significant factors explaining the differences between treatments. (A) Mean incubation temperature, (B) incubation duration, and (C) hatchling size.</title>
          </caption>
          <graphic xlink:href="images/image12.jpg" mime-subtype="jpg"/>
        </fig>
        <p>Straight carapace length of hatchlings (mean 40.86 mm, sd=1.82) was significantly different for experimental data according to depth factor (deviance= 5.492, df=1, p&lt;0.02) but not for any other factors (all p&gt;0.05). Embryos incubated at 40 cm were smaller (40.22 mm, sd=1.54 mm) than those incubated at 60 cm (41.07 mm, sd=1.36 mm) (<xref ref-type="fig" rid="idm1841689948">Figure 3</xref>C).</p>
        <p>An effect of shading at 40 cm (t = -6.7727, df = 9.15,p &lt; 0.0001) and 60 cm (t = 5.0015, df = 11.441, p&lt; 0.001) and depth for shade (t = -2.3516, df = 15.382, p-value &lt; 0.04) and sun-exposed nests (t = 2.1895, df = 11.557, p &lt; 0.05) were noticed on the daily standard deviation temperatures.</p>
      </sec>
      <sec id="idm1841742116">
        <title>Temperature Dependent Embryonic Growth Rate</title>
        <p>Parameters maximizing likelihood of observed hatchling size for each nest have been fitted first using the total set of 80 nests using the 4 and the 6-parameters equation describing instantaneous growth rate dependency to temperature. AIC for 4-parameters model was 380.97 whereas it was 390.05 for the 6-parameters model. Akaike weight gives a very strong support to retain the 4-parameters model (p=0.99). In a second step, parameters have been fitted separately for hatchery nests (Ln L=-97.83), for experimental nests (Ln L=-79.79) and for all nests together (Ln L=-186.55) with LRT being 1.90 (df=4, p=0.75). Thus, a single model for the two categories of nests was sufficient.</p>
        <fig id="idm1841685844">
          <label>Figure 4.</label>
          <caption>
            <title> Average of the daily standard deviation of temperatures recorded in nests from each treatment (shading status and depth), for Lepidochelys olivacea nests from Monterrico, Guatemala.</title>
          </caption>
          <graphic xlink:href="images/image13.jpg" mime-subtype="jpg"/>
        </fig>
        <fig id="idm1841683972">
          <label>Figure 5.</label>
          <caption>
            <title> Fitted straight carapace length (SCL) depending on incubation time for the 80 monitored nests of Lepidochelys olivacea, from Monterrico, Guatemala. The horizontal lines are the observed hatching size and twice the standard deviation.</title>
          </caption>
          <graphic xlink:href="images/image14.jpg" mime-subtype="jpg"/>
        </fig>
        <p>The fitted pattern of embryo growth for the 80 nests is shown in <xref ref-type="fig" rid="idm1841683972">Figure 5</xref>. It should be noted that all fitted embryo sizes at the end of the incubation are comprised within the 95% confidence interval of observed hatchling sizes.</p>
        <p>The fitted instantaneous growth rate according to temperature is shown in <xref ref-type="fig" rid="idm1841661660">Figure 6</xref> for <italic>Lepidochelys</italic><italic> olivacea</italic> from Guatemala. The curve fitted for Mediterranean <italic>Caretta </italic><italic>caretta</italic><xref ref-type="bibr" rid="ridm1842366724">42</xref><xref ref-type="bibr" rid="ridm1842360604">43</xref> is also shown for comparison.</p>
        <fig id="idm1841661660">
          <label>Figure 6.</label>
          <caption>
            <title> Fitted growth rate r(T) of straight carapace length (SCL) depending on incubation temperature T for Lepidochelys olivacea (this study) and Caretta caretta 43. The envelope in dashed lines is the 2.5% and 97.5% quantiles.</title>
          </caption>
          <graphic xlink:href="images/image15.jpg" mime-subtype="jpg"/>
        </fig>
      </sec>
    </sec>
    <sec id="idm1841718252" sec-type="discussion">
      <title>Discussion</title>
      <p>Temperature during incubation of ectothermic animals can have profound consequences on the fitness of individuals and then selection should act to adapt response of embryos to temperature.</p>
      <p>The effect of shading on incubation temperature was anticipated based on several previous reports for turtles <xref ref-type="bibr" rid="ridm1842360172">44</xref><xref ref-type="bibr" rid="ridm1842354916">45</xref><xref ref-type="bibr" rid="ridm1842352324">46</xref><xref ref-type="bibr" rid="ridm1842380836">47</xref> but also lizards <xref ref-type="bibr" rid="ridm1842376804">48</xref>. Indeed, we found that the shaded experimental nests have a lower mean incubation temperature than the experimental nests exposed to the sun. Hatchery nests are also shaded and have still a lower temperature (<xref ref-type="fig" rid="idm1841689948">Figure 3</xref>A). However, we did not detect a significant effect of depth probably because the differential between both depths (40 and 60 cm) was not sufficient to produce enough change in temperature. As a consequence, shaded nests take longer to emerge when compared to the nests directly exposed to sun and incubation temperature could modulate this effect (<xref ref-type="fig" rid="idm1841689948">Figure 3</xref>B). </p>
      <p>Hatchlings from eggs incubated at 40 cm were significantly smaller than those from eggs incubated at 60 cm (<xref ref-type="fig" rid="idm1841689948">Figure 3</xref>C) but a direct effect of temperature or shading was not observed. We do not have definitive explanation for this effect. Mass of hatchling has been shown to be dependent on incubation temperature in many reptiles <xref ref-type="bibr" rid="ridm1842314748">49</xref><xref ref-type="bibr" rid="ridm1842312732">50</xref><xref ref-type="bibr" rid="ridm1842308628">51</xref><xref ref-type="bibr" rid="ridm1842304812">52</xref> but also on dryness of substrate <xref ref-type="bibr" rid="ridm1842301356">53</xref>. On the other hand, effect on size is not consistent among studies nor within the same study. For example, no effect has been observed in the turtle <italic>Pelodiscus</italic><italic> sinensis</italic><xref ref-type="bibr" rid="ridm1842474300">23</xref> but a slight decrease of carapace length has been measured in the sea turtle <italic>Caretta </italic><italic>caretta</italic> as the moisture increased <xref ref-type="bibr" rid="ridm1842299052">54</xref>. But, in the same experiment and for the same turtles, carapace width and plastron length did not show any consistent pattern of increasing with higher moisture <xref ref-type="bibr" rid="ridm1842299052">54</xref>.</p>
      <p>Here we do not detect an effect of temperature on size but an effect of depth of the nest. This effect could be mediated by moisture difference between two depths: it is possible that eggs incubated at 40 cm lost more water that those located at 60 cm, the latter being closer to the water table (sea water that infiltrates by porosity in sand) <xref ref-type="bibr" rid="ridm1842293148">55</xref>. Eggs incubated in dryer substrate accumulate less water during incubation <xref ref-type="bibr" rid="ridm1842292212">56</xref>. The mechanism linking substrate water content and size of embryos has been well studied in the freshwater <italic>Chrysemys</italic><italic> picta </italic><xref ref-type="bibr" rid="ridm1842290340">57</xref>. Water within the eggs plays a key role in the mobilization of yolk reserves by reptile embryos and consequently influences hatchling mass <xref ref-type="bibr" rid="ridm1842290340">57</xref>.</p>
      <p><italic>Caretta </italic><italic>caretta</italic> nests mainly out of the intertropical region whereas <italic>Lepidochelys</italic><italic> olivacea</italic> has a distribution more centred on the equator <xref ref-type="bibr" rid="ridm1842503044">16</xref>. The northernmost nest for a sea turtle has been deposited by a <italic>Caretta </italic><italic>caretta</italic> in South of France at the latitude 43°16.05'N <xref ref-type="bibr" rid="ridm1842316404">58</xref>. As a consequence, the nest temperatures experienced by <italic>Lepidochelys</italic><italic>olivacea</italic>  (<xref ref-type="fig" rid="idm1841693620">Figure 2</xref>A and B) are generally much higher than temperatures experienced by <italic>Caretta </italic><italic>caretta</italic> (<xref ref-type="fig" rid="idm1841693620">Figure 2</xref>C). The growth rate depending on temperature in olive ridleys showed a pattern of increase from 20 °C to 35 °C. However, it should be noted that the part of the curve from 20 °C to 27 °C is extrapolated based on Schoolfield model of thermal reaction norm <xref ref-type="bibr" rid="ridm1842413044">34</xref> because no lower temperature than 27 °C was recorded in <italic>Lepidochelys</italic><italic> olivacea</italic> nests from Guatemala (<xref ref-type="fig" rid="idm1841693620">Figure 2</xref>). On the other hand, temperature as low as 22 °C was recorded in <italic>Caretta </italic><italic>caretta</italic> nests in Turkey <xref ref-type="bibr" rid="ridm1842366724">42</xref> and the pattern of growth rate for these two species at low temperatures was very similar (<xref ref-type="fig" rid="idm1841661660">Figure 6</xref>). However, the pattern differs completely for incubation at high temperatures. The growth rate continued to increase up to 35 °C for <italic>Lepidochelys</italic><italic> olivacea</italic> whereas it went down for <italic>Caretta </italic><italic>caretta</italic> around 32 °C. This is consistent with the observation that incubation duration increased at 32 °C as compared to 31°C <xref ref-type="bibr" rid="ridm1842360604">43</xref> and that no <italic>Caretta </italic><italic>caretta</italic> hatchlings survived when incubated at 32 °C and above <xref ref-type="bibr" rid="ridm1842481932">21</xref>.</p>
      <p>The variability of temperatures among different nests incubated in same conditions was measured. We detect an effect of depth but much more an effect of shading (<xref ref-type="fig" rid="idm1841685844">Figure 4</xref>). Such a measure is particularly important because it permits to explain why, in the same beach and at the same time, heterogeneity of incubation conditions was observed. The thermal microhabitats have been overlooked for sea turtle and generally for reptiles. This is particularly important in the context of prediction of the impact of climate change. The climate models available give prediction at the regional scale <xref ref-type="bibr" rid="ridm1842265260">59</xref> very far away from the beach scale and even intra-nesting beach level as shown here. This downscaling is challenging to be able to produce realistic models of incubation of reptile eggs. </p>
    </sec>
    <sec id="idm1841706588">
      <title>Acknowledgments</title>
      <p>We thank the hatchery of the Monterrico Natural Reserve for Multiple Uses and the authorities of Guatemala for authorization to use the eggs collected for this experiment. We thank two anonymous referees for their very valuable suggestions that have enhanced the clarity of this manuscript and we thank also the editor Adriana Cortés-Gómes for her help with this manuscript.</p>
    </sec>
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