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  <front>
    <journal-meta><journal-id journal-id-type="publisher">WE</journal-id><journal-title-group>
    <journal-title>Web Ecology</journal-title>
    <abbrev-journal-title abbrev-type="publisher">WE</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Web Ecol.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1399-1183</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/we-20-153-2020</article-id><title-group><article-title>Cohort effect on discriminant rate: the case of greater flamingo (<italic>Phœnicopterus roseus</italic>) chicks
sexed with morphological characters</article-title><alt-title>Cohort effect on discriminant rate</alt-title>
      </title-group><?xmltex \runningtitle{Cohort effect on discriminant rate}?><?xmltex \runningauthor{A.~Boucheker et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1 aff2 aff3">
          <name><surname>Boucheker</surname><given-names>Abdennour</given-names></name>
          <email>babdennour2007@yahoo.fr</email>
        <ext-link>https://orcid.org/0000-0001-9433-9934</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Nedjah</surname><given-names>Riad</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Prodon</surname><given-names>Roger</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff5">
          <name><surname>Gillingham</surname><given-names>Mark</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5 aff6">
          <name><surname>Dechaume-Moncharmont</surname><given-names>François-Xavier</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7607-8224</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Béchet</surname><given-names>Arnaud</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Samraoui</surname><given-names>Boudjéma</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Biology Department,  Badji Mokhtar University-Annaba, BP 12, Annaba, 23000, Algeria</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Centre de recherche de la Tour du Valat, Le Sambuc, 13200 Arles,
France</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Laboratoire de Conservation des Zones Humides, Université 8 mai 1945, BP 401, Guelma 24000, Algeria</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Centre d'Ecologie Fonctionnelle et Evolutive (UMR 5175), École
Pratique des Hautes Études, Biogéographie et Ecologie des
Vertébrés, campus CNRS, 1919 route de Mende, 34293 Montpellier
CEDEX 5, France</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Institute of Experimental Ecology, University of Ulm, Albert-Einstein
Allee 11, 89069 Ulm, Germany</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Université Claude Bernard Lyon 1, CNRS, ENTPE, UMR 5023 LEHNA,
69622, Villeurbanne, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Abdennour Boucheker (babdennour2007@yahoo.fr)</corresp></author-notes><pub-date><day>25</day><month>November</month><year>2020</year></pub-date>
      
      <volume>20</volume>
      <issue>2</issue>
      <fpage>153</fpage><lpage>159</lpage>
      <history>
        <date date-type="received"><day>31</day><month>May</month><year>2020</year></date>
           <date date-type="rev-recd"><day>6</day><month>October</month><year>2020</year></date>
           <date date-type="accepted"><day>15</day><month>October</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 Abdennour Boucheker et al.</copyright-statement>
        <copyright-year>2020</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://we.copernicus.org/articles/20/153/2020/we-20-153-2020.html">This article is available from https://we.copernicus.org/articles/20/153/2020/we-20-153-2020.html</self-uri><self-uri xlink:href="https://we.copernicus.org/articles/20/153/2020/we-20-153-2020.pdf">The full text article is available as a PDF file from https://we.copernicus.org/articles/20/153/2020/we-20-153-2020.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e169">We used a large dataset of greater flamingo chicks banded and measured at
Camargue, France, to verify the applicability of discriminant function
analysis to sex this species. Males and females sexed genetically differed
significantly in all of the morphological characters measured (body mass,
tarsus and wing length), with males being significantly larger than females.
Although the discriminant rate varied substantially from one year to
another, we found that it increased with the sample size of genetically
sexed individuals. Our results suggest that discriminant function analysis
(DFA) does not provide an efficient tool to sex greater flamingo chicks as
these relationship are highly variable across years, requiring the genetic
determination of sex on a large number of individuals every year for
calibrating the DFA and still providing an overall low accuracy in sex
determination. Indeed, conditions at breeding seasons can vary between years
and can be considered proximate causes affecting the correct
discriminant rate. Like previous studies, we recommend caution in dealing
with discriminant equations computed from small datasets, and our simulation
suggests that 325 genetically sexed individuals are needed to obtain 80 % correctly classified greater flamingo chicks.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e181">The ability to correctly sex marked birds is crucial to most behavioral or
ecological studies (Greenwood, 1980; Andersson, 1994; Short and Balaban,
1994; Childress and Bennun, 2002; Barbraud et al., 2003) and for the
management and conservation of species (Zavalaga and Paredes, 1997;
Fernandez-Juricic, et al., 2009). However, sex determination in immature and
adult individuals where the plumage is similar in both sexes based only on
external morphological characters is often difficult
(Cuthill et al., 1999).</p>
      <p id="d1e184">To overcome this difficulty a range of techniques have been used such as
laparoscopy (Petrides, 1950; Richter and Bourne, 1990; Richner, 1989),
measuring the plasma testosterone levels during the breeding period (Czekala
and Lasley, 1977; Bercovitz et al., 1978), vocalization analyses (Bourgeois
et al., 2007), individual breeding or observation of territorial behavior
(Castoro and Guhl, 1958; Flux and Innes, 2001; Fletcher and Hamer, 2003),
and generalized molecular techniques (Griffiths et al., 1998;
Bertault et al., 1999; Fridolfsson and Ellegren, 1999; Tomasulo et al.,
2002; Dubiec and Zagalska-Neubauer, 2006; Balkız et al., 2007). However,
despite the reliability and the large utilization of molecular techniques,
these methods are time-consuming, intrusive and require extensive laboratory
equipment, implying additional financial costs (Childress et al., 2005).</p>
      <?pagebreak page154?><p id="d1e187">Sexing based on morphological measurements using multivariate statistical
approaches (e.g., discriminant function analysis, DFA) is often a
reasonable choice for quick and inexpensive but efficient sex identification
in field studies on bird species presenting monomorphic plumage
(Dechaume-Moncharmont et al., 2011). Indeed, the existence of a significant
difference (even very small) between morphological measurements of males and
females allows the discrimination between the sexes (Wilson, 1999; Donohue
and Dufty, 2006; Moreno et al., 2007; Murphy, 2007; Ottvall and Gunnarsson,
2007; Cardoni et al., 2009). Diverse discriminant and logistic regression
functions based on morphological measurements have been developed in many
bird studies designed for widespread use by field researchers (Bosch,
1996; Balbontin et al., 2001; Bertellotti et al., 2002; Delvin et al., 2004;
Figuerola et al., 2006, Hallgrimsson et al., 2011). However, different
methods can be used to assess the reliability of these functions by
examining the proportion of correctly classified males and females, such as,
resubstitution (Zwarts et al., 1996; Copello et al., 2006), jackknife
(O'Dwyer et al., 2006; Thorogood et al., 2009; Herring et al., 2008, 2010)
or sample splitting methods (Setiawan et al., 2004; Meissner, 2005; Frey et
al., 2008). Dechaume-Moncharmont et al. (2011) showed that the choice of the
validation method may have a strong effect on the estimated discriminant
rate, particularly for small sample sizes, and recommended the use of the
jackknife method.</p>
      <p id="d1e190">In this study, we used a large dataset (4013 birds measured across 11 years) of greater flamingo (<italic>Phoenicopterus roseus</italic>) chicks ringed and measured in the Camargue
(southern France) and afterward sexed with molecular techniques (Bertault
et al., 1999; Balkız et al., 2007). Greater flamingos lay a single egg and
have a wide distribution, ranging from west Africa eastward throughout the
Mediterranean to southwest and south Asia, and throughout sub-Saharan
Africa (Johnson and Cézilly, 2007). Both sexes are similar in plumage
but are sexually dimorphic in size when adults (Johnson and Cézilly,
2007). Although immature and adult male greater flamingos are significantly
larger and heavier than females (Cramp and Simmons, 1977; Johnson et al.,
1993), there remains a risk of error in sex determination based on size or
weight due to the overlap of larger (and heavier) females with smaller (and
lighter) males. This overlap is possibly wider in chicks, yet tarsus length
of males appeared longer than that of females of exactly the same age in
unfledged chicks from captivity (Studer-Thiersch, 1986).</p>
      <p id="d1e197">The purposes of our study were to (1) examine whether DFA relying on
morphological measurements of greater flamingo chicks predicts sex with a
sufficient degree of accuracy, (2) test the applicability of one of the
11 single DFA formulas across cohorts and (3) evaluate through
simulations the minimal sample size of chicks sexed by molecular methods to
generate a DFA with a reliable discriminant rate.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Material and methods</title>
      <p id="d1e208">As part of a long-term study on the reproductive biology of a colony of
greater flamingos in Camargue, southern France (43<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>25<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> N,
4<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>38<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>′</mml:mo></mml:msup></mml:math></inline-formula> E), a proportion of chicks were captured at the end of each
breeding season (end of July–early August) and banded with a metal ring
and a unique combination of plastic bands that allowed recognition of
individuals. For each chick, only three external measurements were made
(body weight, tarsus length and wing length; Childress et al., 2005) to
avoid prolonged capture stress. Thus, between 1995 and 2008 (except for
2001, 2002 and 2007), a total of 4013 Flamingos chicks were captured. A total of 1828 males and 2187 females were genetically sexed through PCR
(polymerase chain reaction) amplification of the <italic>CHD-Z</italic> and <italic>CHD-W</italic> genes,
using DNA extracted from blood or feather samples (Bertault et al., 1999,
Balkız et al., 2007).</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Discriminant analysis functions</title>
      <p id="d1e261">For each cohort, we applied Box's <inline-formula><mml:math id="M5" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> test to verify the homogeneity of the
variance–covariance matrix assumption before performing quadratic DFA in
the case of violation of the assumption, otherwise linear DFA (Stevens,
1992) was used. These were conducted with the qda or lda function from the
MASS package (Venables and Ripley, 2002) in R (version 3.6.1; R Development
Core Team, 2019). To estimate the proportion of individuals with correctly classified sex
(discriminant rate), we used the jackknife method (leave one
out) (Manly, 1994): the sex of an individual is predicted from the DFA
calculated after that individual has been taken out from the dataset. This
procedure is repeated until a sex is assigned to each individual (Tabachnick
and Fidell, 2000). Then, we examined whether the DFA for a given year could
provide (or not) a reliable discriminant rate across cohorts. Finally, we
used Student's <inline-formula><mml:math id="M6" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test and Cohen's <inline-formula><mml:math id="M7" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula> effect size to calculate the difference
between mean male and female chicks external measurements.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Effect of sample size</title>
      <p id="d1e293">We simulated the effect of sample size on the discriminant rate using the
largest dataset available, i.e., 2006. We defined 133 different sample sizes
regularly spaced every five individuals and ranging from 25 to 685 individuals. For each sample size, we used the jackknife method to simulate
500 different datasets by randomly sampling individuals (Table 1). We then
calculated the mean DFA for each random dataset for a given sample size.</p>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T1" orientation="landscape"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e299">Potential of discriminant function analysis in sexing greater
flamingo chicks. Discriminant rate (%) and correctly classified individual
(%). WL: wing length; TL: tarsus length; BM: body mass.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.9}[.9]?><oasis:tgroup cols="11">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right" colsep="1"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="left"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="right"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Year</oasis:entry>
         <oasis:entry namest="col2" nameend="col3" align="center" colsep="1">Chick sample </oasis:entry>
         <oasis:entry namest="col4" nameend="col6" align="center">Box's <inline-formula><mml:math id="M8" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula> test </oasis:entry>
         <oasis:entry colname="col7">Discriminant</oasis:entry>
         <oasis:entry colname="col8">Discriminant</oasis:entry>
         <oasis:entry colname="col9">Discriminant</oasis:entry>
         <oasis:entry namest="col10" nameend="col11" align="center">Correctly classified  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center" colsep="1"/>
         <oasis:entry rowsep="1" namest="col4" nameend="col6" align="center"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8">formulas</oasis:entry>
         <oasis:entry colname="col9">rate (%)</oasis:entry>
         <oasis:entry rowsep="1" namest="col10" nameend="col11" align="center">individual (%) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Males</oasis:entry>
         <oasis:entry colname="col3">Females</oasis:entry>
         <oasis:entry colname="col4">Chi 2</oasis:entry>
         <oasis:entry colname="col5">Degrees of</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M9" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7">method</oasis:entry>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10">Males</oasis:entry>
         <oasis:entry colname="col11">Females</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">freedom</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
         <oasis:entry colname="col8"/>
         <oasis:entry colname="col9"/>
         <oasis:entry colname="col10"/>
         <oasis:entry colname="col11"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">1995</oasis:entry>
         <oasis:entry colname="col2">67</oasis:entry>
         <oasis:entry colname="col3">105</oasis:entry>
         <oasis:entry colname="col4">12.8</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">0.04</oasis:entry>
         <oasis:entry colname="col7">qda</oasis:entry>
         <oasis:entry colname="col8">TL <inline-formula><mml:math id="M10" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> WL</oasis:entry>
         <oasis:entry colname="col9">80.3</oasis:entry>
         <oasis:entry colname="col10">64.6</oasis:entry>
         <oasis:entry colname="col11">90.2</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1996</oasis:entry>
         <oasis:entry colname="col2">64</oasis:entry>
         <oasis:entry colname="col3">67</oasis:entry>
         <oasis:entry colname="col4">15.5</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">0.01</oasis:entry>
         <oasis:entry colname="col7">qda</oasis:entry>
         <oasis:entry colname="col8">TL</oasis:entry>
         <oasis:entry colname="col9">78.6</oasis:entry>
         <oasis:entry colname="col10">73.4</oasis:entry>
         <oasis:entry colname="col11">82.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1997</oasis:entry>
         <oasis:entry colname="col2">188</oasis:entry>
         <oasis:entry colname="col3">221</oasis:entry>
         <oasis:entry colname="col4">20.4</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">0.00</oasis:entry>
         <oasis:entry colname="col7">qda</oasis:entry>
         <oasis:entry colname="col8">TL <inline-formula><mml:math id="M11" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> WL</oasis:entry>
         <oasis:entry colname="col9">71.2</oasis:entry>
         <oasis:entry colname="col10">58.5</oasis:entry>
         <oasis:entry colname="col11">83.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1998</oasis:entry>
         <oasis:entry colname="col2">162</oasis:entry>
         <oasis:entry colname="col3">267</oasis:entry>
         <oasis:entry colname="col4">16.5</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">0.01</oasis:entry>
         <oasis:entry colname="col7">qda</oasis:entry>
         <oasis:entry colname="col8">TL <inline-formula><mml:math id="M12" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> WL</oasis:entry>
         <oasis:entry colname="col9">75.3</oasis:entry>
         <oasis:entry colname="col10">54.3</oasis:entry>
         <oasis:entry colname="col11">89.1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1999</oasis:entry>
         <oasis:entry colname="col2">171</oasis:entry>
         <oasis:entry colname="col3">253</oasis:entry>
         <oasis:entry colname="col4">26.0</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">0.00</oasis:entry>
         <oasis:entry colname="col7">qda</oasis:entry>
         <oasis:entry colname="col8">TL <inline-formula><mml:math id="M13" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> WL <inline-formula><mml:math id="M14" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BM</oasis:entry>
         <oasis:entry colname="col9">78.3</oasis:entry>
         <oasis:entry colname="col10">64.9</oasis:entry>
         <oasis:entry colname="col11">87.8</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2000</oasis:entry>
         <oasis:entry colname="col2">235</oasis:entry>
         <oasis:entry colname="col3">240</oasis:entry>
         <oasis:entry colname="col4">9.9</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">0.12</oasis:entry>
         <oasis:entry colname="col7">lda</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">2000</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">10.50</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.02</mml:mn><mml:mo>×</mml:mo><mml:mtext>WL</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.06</mml:mn><mml:mo>×</mml:mo><mml:mtext>TL</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn><mml:mo>×</mml:mo><mml:mtext>BM</mml:mtext></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">75.2</oasis:entry>
         <oasis:entry colname="col10">72.3</oasis:entry>
         <oasis:entry colname="col11">77.9</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2003</oasis:entry>
         <oasis:entry colname="col2">47</oasis:entry>
         <oasis:entry colname="col3">56</oasis:entry>
         <oasis:entry colname="col4">19.7</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">0.00</oasis:entry>
         <oasis:entry colname="col7">qda</oasis:entry>
         <oasis:entry colname="col8">TL <inline-formula><mml:math id="M16" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> WL <inline-formula><mml:math id="M17" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BM</oasis:entry>
         <oasis:entry colname="col9">85.5</oasis:entry>
         <oasis:entry colname="col10">82.9</oasis:entry>
         <oasis:entry colname="col11">85.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2004</oasis:entry>
         <oasis:entry colname="col2">50</oasis:entry>
         <oasis:entry colname="col3">51</oasis:entry>
         <oasis:entry colname="col4">6.4</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">0.38</oasis:entry>
         <oasis:entry colname="col7">lda</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">2004</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">13.57</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn><mml:mo>×</mml:mo><mml:mtext>WL</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn><mml:mo>×</mml:mo><mml:mtext>TL</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.003</mml:mn><mml:mo>×</mml:mo><mml:mtext>BM</mml:mtext></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">82.2</oasis:entry>
         <oasis:entry colname="col10">80.0</oasis:entry>
         <oasis:entry colname="col11">84.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2005</oasis:entry>
         <oasis:entry colname="col2">259</oasis:entry>
         <oasis:entry colname="col3">301</oasis:entry>
         <oasis:entry colname="col4">11.9</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">0.06</oasis:entry>
         <oasis:entry colname="col7">lda</oasis:entry>
         <oasis:entry colname="col8"><inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">2005</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">12.38</mml:mn><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.03</mml:mn><mml:mo>×</mml:mo><mml:mtext>WL</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn><mml:mo>×</mml:mo><mml:mtext>TL</mml:mtext><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.002</mml:mn><mml:mo>×</mml:mo><mml:mtext>BM</mml:mtext></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col9">83.0</oasis:entry>
         <oasis:entry colname="col10">77.6</oasis:entry>
         <oasis:entry colname="col11">87.7</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2006</oasis:entry>
         <oasis:entry colname="col2">321</oasis:entry>
         <oasis:entry colname="col3">364</oasis:entry>
         <oasis:entry colname="col4">35.6</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">0.00</oasis:entry>
         <oasis:entry colname="col7">qda</oasis:entry>
         <oasis:entry colname="col8">TL <inline-formula><mml:math id="M20" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> WL <inline-formula><mml:math id="M21" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BM</oasis:entry>
         <oasis:entry colname="col9">86.5</oasis:entry>
         <oasis:entry colname="col10">83.2</oasis:entry>
         <oasis:entry colname="col11">88.8</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">2008</oasis:entry>
         <oasis:entry colname="col2">264</oasis:entry>
         <oasis:entry colname="col3">260</oasis:entry>
         <oasis:entry colname="col4">42.1</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">0.00</oasis:entry>
         <oasis:entry colname="col7">qda</oasis:entry>
         <oasis:entry colname="col8">TL <inline-formula><mml:math id="M22" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> WL <inline-formula><mml:math id="M23" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BM</oasis:entry>
         <oasis:entry colname="col9">76.6</oasis:entry>
         <oasis:entry colname="col10">71.2</oasis:entry>
         <oasis:entry colname="col11">82.3</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">All years</oasis:entry>
         <oasis:entry colname="col2">1828</oasis:entry>
         <oasis:entry colname="col3">2185</oasis:entry>
         <oasis:entry colname="col4">143.5</oasis:entry>
         <oasis:entry colname="col5">6</oasis:entry>
         <oasis:entry colname="col6">0.00</oasis:entry>
         <oasis:entry colname="col7">qda</oasis:entry>
         <oasis:entry colname="col8">TL <inline-formula><mml:math id="M24" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> WL <inline-formula><mml:math id="M25" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> BM</oasis:entry>
         <oasis:entry colname="col9">67.1</oasis:entry>
         <oasis:entry colname="col10">60.4</oasis:entry>
         <oasis:entry colname="col11">83.6</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1116">Comparisons between male and female greater flamingo chicks on
Camargue (1995 to 2008, except 2001, 2002 and 2007) for three characters
with mean difference index (MDI) calculated as (mean female <inline-formula><mml:math id="M26" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> mean male) <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Measurements</oasis:entry>
         <oasis:entry colname="col2">Males</oasis:entry>
         <oasis:entry colname="col3">Females</oasis:entry>
         <oasis:entry colname="col4">Cohen's <inline-formula><mml:math id="M28" display="inline"><mml:mi>d</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">MDI</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M29" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> test</oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M30" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(<inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mtext>mean</mml:mtext><mml:mo>±</mml:mo><mml:mtext>SD</mml:mtext></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col3">(<inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mtext>mean</mml:mtext><mml:mo>±</mml:mo><mml:mtext>SD</mml:mtext></mml:mrow></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">(95 % CI)</oasis:entry>
         <oasis:entry colname="col5">(%)</oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M33" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1828</oasis:entry>
         <oasis:entry colname="col3">2185</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Body mass (g)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mn mathvariant="normal">2629.6</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">489.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mn mathvariant="normal">2255.3</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">418.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.8 [0.8, 0.9]</oasis:entry>
         <oasis:entry colname="col5">85.8</oasis:entry>
         <oasis:entry colname="col6">26.1</oasis:entry>
         <oasis:entry colname="col7">0.000***</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Tarsus length (mm)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mn mathvariant="normal">233.7</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">23.6</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mn mathvariant="normal">214.4</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">20.8</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.9 [0.8, 0.9]</oasis:entry>
         <oasis:entry colname="col5">92.0</oasis:entry>
         <oasis:entry colname="col6">27.5</oasis:entry>
         <oasis:entry colname="col7">0.000***</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Wing length (mm)</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mn mathvariant="normal">300.5</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">62.9</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mn mathvariant="normal">283.9</mml:mn><mml:mo>±</mml:mo><mml:mn mathvariant="normal">64.2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">0.3 [0.2, 0.3]</oasis:entry>
         <oasis:entry colname="col5">94.5</oasis:entry>
         <oasis:entry colname="col6">8.3</oasis:entry>
         <oasis:entry colname="col7">0.000***</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Sexual dimorphism</title>
      <?pagebreak page155?><p id="d1e1427">We found significant differences in all morphological characters analyzed of
genetically sexed greater flamingo chicks (males were larger than females
(<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">33.7</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.000</mml:mn></mml:mrow></mml:math></inline-formula>***)), and the mean difference index (<inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:mtext>MDI</mml:mtext><mml:mo>=</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> mean female/mean male; Delestrade, 2001; Helfenstein et al., 2004) was <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">95</mml:mn></mml:mrow></mml:math></inline-formula> % for all characters (Table 2). Pooling all
years, the largest difference occurred in body weight (males being 1.1 times
heavier than females, Cohen's <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.8</mml:mn></mml:mrow></mml:math></inline-formula>). Dimorphism in tarsus length was
also important for all years (ratio male <inline-formula><mml:math id="M45" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> female <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.1</mml:mn></mml:mrow></mml:math></inline-formula>, Cohen's <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.9</mml:mn></mml:mrow></mml:math></inline-formula>
and was less important for wing length (ratio male <inline-formula><mml:math id="M48" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> female <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.0</mml:mn></mml:mrow></mml:math></inline-formula>, Cohen's <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula>; Table 2; Fig. 1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e1551">Mean (body mass, tarsus and wing length) of male and female greater flamingo chicks banded at Camargue, during 11 breeding seasons (1995–2008, except 2001, 2002 and 2007).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://we.copernicus.org/articles/20/153/2020/we-20-153-2020-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Sex determination</title>
      <p id="d1e1568">The discriminant rate of greater flamingo chicks using DFA was always
<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">70</mml:mn></mml:mrow></mml:math></inline-formula> %, yet varied substantially across cohorts (Table 1).
Females were always better discriminated than males (Table 1). Evaluating whether
one particular annual DFA could correctly predict sex across years showed
major differences in the discriminant rate. For instance, the result found
using the DFA of 2006 (the largest dataset) on the different cohorts
led to a large difference of correct sex determination (from 52.4 % in
2000 to 86.5 % in 2006; Fig. 2), and the all-year function had the lowest
discriminant rate (Table 1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e1583">Boxplots of the yearly estimated discriminant rate (results of
yearly DFA formulas validated on 11 different cohorts (1995–2008, except
2001, 2002 and 2007)).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://we.copernicus.org/articles/20/153/2020/we-20-153-2020-f02.png"/>

        </fig>

</sec>
<?pagebreak page156?><sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Sample size effect</title>
      <p id="d1e1600">Obtained discriminant rates of correctly sexed greater flamingo chicks
increased with increasing sample size. Indeed, the lowest DFA simulation
results for samples of 50, 200 and 325 individuals were 58.0 %, 76.6 %
and 80.0 %, respectively (Fig. 3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e1605">Simulation of the effect of sample size on the estimated
proportion of correctly classified individuals (discriminant rate) in
simulated discriminant function analyses (DFAs) of greater flamingo chicks
from Camargue (France). From the largest dataset (year 2006, <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">685</mml:mn></mml:mrow></mml:math></inline-formula> individuals), smaller subsamples were randomly selected (ranging from 25 to
685 individuals, with 500 subsamples per size). For each of these 66 000
subsamples, we performed a DFA and evaluated the discriminant rate by
jackknife cross-validation. Each red empty circle represents one DFA. The
thick white line represents the mean discriminant rate computed from the 500
DFAs performed for each sample size. The dashed white line represents the DFA
of the year 2006.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://we.copernicus.org/articles/20/153/2020/we-20-153-2020-f03.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Discussion</title>
      <p id="d1e1635">In the greater flamingos, as in many other birds, adult males are larger
than females. However, sexing flamingo chicks remains difficult because
flamingos continue to grow after fledging, and captures generally include
individuals of different ages. Sexual dimorphism occurs in flamingos chicks
with females of 1.5 to 2.5 months being already smaller than males of the
same age (Studer-Thiersch, 1986; but see Bertault et al., 2000). Our results
demonstrate that the sex of greater flamingo chicks can be determined based
on individual morphology using DFA and a subsample of individuals
molecularly sexed. This method was also used for adult greater flamingos
(Richter and Bourne, 1990) and other birds, where morphometric criteria may
discriminate between males and females (Childress et al., 2005; Alarcos et
al., 2007; Hurley et al., 2007; Ackerman et al., 2008; Herring et al., 2008;
Lislevand et al., 2009; Herring et al., 2010).</p>
      <?pagebreak page157?><p id="d1e1638">However, we found that the reliability of one particular yearly discriminant
function was reduced when attempting to apply it across cohorts. This result
was consistent with the Evans et al. (1993) study on laughing gulls (<italic>Larus atricilla</italic>); they
found a significant difference when DFA was applied at different years and
localities. We also found that females were better discriminated than males
in all years. The lower discriminant rate for males could result from an
asymmetry in the distribution of the size of the males with an
overrepresentation of smaller males. The discriminant rate of greater
flamingo chicks varied from 67.1 % to 86.5 % and was lower than in
other waterbird studies: Childress et al. (2005) on lesser flamingos <italic>Phœnicopterus minor</italic>
(<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">18</mml:mn></mml:mrow></mml:math></inline-formula> individuals, 94.0 %), Palomares et al. (1997) on black-headed gulls
<italic>Larus ridibundus</italic> (<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">143</mml:mn></mml:mrow></mml:math></inline-formula>, 90.2 %) and Herring et al. (2008) on great egrets <italic>Ardea alba</italic> (<inline-formula><mml:math id="M55" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">76</mml:mn></mml:mrow></mml:math></inline-formula>,
89.5 %). Furthermore, our simulation showed that for small samples, there
is a wide variance in the proportion of misclassified birds. Indeed, a high
or low discriminant rate can be obtained by chance (low or high
misclassified); therefore the use of a formula constructed from a small dataset is problematic in the greater flamingos and should be avoided. Like
previous studies, we recommend extreme caution when sexing birds based on
DFA, particularly when discriminant equations are derived from small datasets (Brennan et al., 1991; Shealer and Cleary, 2007; Isaksson et al., 2008;
Dechaume-Moncharmont et al., 2011). Our results show that sexing flamingo
chicks based on DFA requires a large dataset and repeated sampling to
include natural yearly variations on body condition during the breeding
season. We therefore conclude that DFA is not an effective method to sex
flamingo chicks.</p>
</sec>

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

      <p id="d1e1695">The data that support the findings of this study are available from the Tour
du Valat greater flamingo team (bechet@tourduvalat.org), upon reasonable request.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1701">AbB designed and conducted the study under the supervision of AB, RP and BS.
AbB designed the statistical analyses and wrote the text. AB, RP and BS
supervised and commented on the text. RN, MG and FXDM commented on the text.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1707">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1713">We are most grateful to Ruben Heleno, Carolina Hospitaleche and the anonymous reviewer for their
valuable comments. We are grateful to Luc Hoffmann and the Tour du Valat
Foundation for material support.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1718">This work was financed by the MAVA foundation and the Algerian Ministère de
l'Enseignement Supérieur et de la Recherche Scientifique (MESRS/DGRSTD).
Abdennour Boucheker benefited from a PhD thesis grant from the MAVA
foundation.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1724">This paper was edited by Ruben Heleno and reviewed by Carolina Hospitaleche and one anonymous referee.</p>
  </notes><ref-list>
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<abstract-html><p>We used a large dataset of greater flamingo chicks banded and measured at
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analysis to sex this species. Males and females sexed genetically differed
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