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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Anim. Sci.</journal-id>
<journal-title>Frontiers in Animal Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Anim. Sci.</abbrev-journal-title>
<issn pub-type="epub">2673-6225</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fanim.2023.1249470</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Animal Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Estimation of genetic parameters for parasite resistance and genome-wide identification of runs of homozygosity islands in Florida Cracker sheep</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Hidalgo</surname>
<given-names>Jorge</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes" equal-contrib="yes">
<name>
<surname>Estrada-Reyes</surname>
<given-names>Zaira M.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<xref ref-type="author-notes" rid="fn003">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2336989"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ogunade</surname>
<given-names>Ibukun M.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/569277"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Pech-Cervantes</surname>
<given-names>Andres A.</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1145166"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Terrill</surname>
<given-names>Thomas</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2337919"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Idowu</surname>
<given-names>Modoluwamu D.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1573543"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Taiwo</surname>
<given-names>Godstime</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Animal and Dairy Science, University of Georgia</institution>, <addr-line>Athens, GA</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Animal Science, North Carolina Agricultural and Technical State University</institution>, <addr-line>Greensboro, NC</addr-line>, <country>United States</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Animal Sciences, University of Florida</institution>, <addr-line>Gainesville, FL</addr-line>, <country>United States</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Division of Animal and Nutritional Science, West Virginia University</institution>, <addr-line>Morgantown, WV</addr-line>, <country>United States</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Agriculture, Food and Resource Sciences, University of Maryland Eastern Shore</institution>, <addr-line>Princess Anne, MD</addr-line>, <country>United States</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>College of Agricultural, Family Sciences, and Technology, Fort Valley State University</institution>, <addr-line>Fort Valley, GA</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Beatriz Guti&#xe9;rrez-Gil, University of Le&#xf3;n, Spain</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Shamik Polley, West Bengal University of Animal and Fishery Sciences, India</p>
<p>Onur Yilmaz, Adnan Menderes University, T&#xfc;rkiye</p>
<p>Valentina Riggio, University of Edinburgh, United Kingdom</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Zaira M. Estrada-Reyes, <email xlink:href="mailto:zmestradareyes@ncat.edu">zmestradareyes@ncat.edu</email>
</p>
</fn>
<fn fn-type="equal" id="fn003">
<p>&#x2020;These authors share first authorship</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>08</day>
<month>12</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>4</volume>
<elocation-id>1249470</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>06</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>07</day>
<month>11</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Hidalgo, Estrada-Reyes, Ogunade, Pech-Cervantes, Terrill, Idowu and Taiwo</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Hidalgo, Estrada-Reyes, Ogunade, Pech-Cervantes, Terrill, Idowu and Taiwo</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>In this study, we estimated genetic parameters for parasite resistance traits and the distribution of runs of homozygosity islands in Florida Cracker sheep. The dataset contained 365 animals with phenotypic records at 38 days post-infection for fecal egg count (FEC), packed cell volume (PCV), FAMACHA score (FAM), and body condition score (BCS). The pedigree file contained 695 animals born between 2016 and 2020 and included 279 individuals with genotypes. Genetic parameters were estimated using a multi-trait model with a Bayesian implementation via Gibbs sampling in the GIBBS3F90 program. Heritability was 0.33 &#xb1; 0.09 for FEC, 0.31 &#xb1; 0.10 for FAM, 0.22 &#xb1; 0.09 for PCV, and 0.19 &#xb1; 0.07 for BCS. The genetic correlation between FEC and FAM was 0.51 &#xb1; 0.21; the remaining genetic correlations had large posterior standard deviations and yielded 95% posterior intervals including zero or with values out of the parameter space because of our small dataset. Analysis of the distribution of runs of homozygosity islands revealed 113 hot spots with annotated genes related to immune response and parasite resistance traits. Our results suggest that the genetic selection for FAMACHA score can be effective in improving parasite resistance because of its ease of recording, high heritability, and favorable genetic correlation with FEC. Additionally, runs of homozygosity islands related to parasite resistance could harbor important candidate genes for controlling this trait in Florida Cracker sheep.</p>
</abstract>
<kwd-group>
<kwd>Florida Cracker sheep</kwd>
<kwd>genetic parameters</kwd>
<kwd>runs of homozygosity</kwd>
<kwd>gastrointestinal parasite resistance</kwd>
<kwd>heritage sheep</kwd>
</kwd-group>
<counts>
<fig-count count="4"/>
<table-count count="3"/>
<equation-count count="7"/>
<ref-count count="54"/>
<page-count count="10"/>
<word-count count="5113"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Animal Breeding and Genetics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Gastrointestinal parasites are a significant threat to sheep farming in the Southern United States; particularly, infection with <italic>Haemonchus contortus</italic>, which has detrimental effects on production, meat quality, and body condition scores in lambs (<xref ref-type="bibr" rid="B53">Zhong et&#xa0;al., 2016</xref>). One of the most sustainable strategies for controlling these infections is selecting for parasite-resistant animals. This method involves breeding individuals with a superior ability to regulate gastrointestinal parasites. Consequently, improved animal survival, health, and productive performance are expected due to cumulative and permanent genetic changes added to the new generations in the population. Additionally, resistant sheep secrete fewer <italic>H. contortus</italic> eggs in the feces, reducing pasture contamination (<xref ref-type="bibr" rid="B47">Woolaston and Baker, 1996</xref>).</p>
<p>Common phenotypes utilized for selecting parasite-resistant individuals include FAMACHA score (FAM), fecal egg count (FEC), packed cell volume (PCV), and productive traits (body weight, ADG, etc.) (<xref ref-type="bibr" rid="B25">Kaplan et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B31">Ngere et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B32">Ngere et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B46">Werne et&#xa0;al., 2023</xref>). Previous research on sheep populations suggests that the favored response to selection for parasite resistance originates from directional selection (<xref ref-type="bibr" rid="B16">Estrada-Reyes et&#xa0;al., 2019b</xref>), which creates an accumulation of runs of homozygosity (ROH) at specific loci (<xref ref-type="bibr" rid="B7">Chen et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B24">Islam et&#xa0;al., 2019</xref>). The ROH are contiguous segments of homozygous genotypes. These genotypes form part of identical by descent haplotypes transmitted by the parents to their offspring. The ROH are used to estimate inbreeding levels (<xref ref-type="bibr" rid="B38">Sams and Boyko, 2019</xref>) and are indicators of selection signatures (<xref ref-type="bibr" rid="B26">Kim et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B27">Metzger et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B34">Purfield et&#xa0;al., 2017</xref>). For this reason, ROH are commonly used to identify potential genomic regions under selection and candidate genes controlling economically important traits in livestock (<xref ref-type="bibr" rid="B24">Islam et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B21">He et&#xa0;al., 2020</xref>).</p>
<p>Florida Cracker sheep is a wool breed that evolved under natural selection and has good potential for meat production. The main features of this breed are its exceptional ability to control gastrointestinal parasites (<xref ref-type="bibr" rid="B52">Zajac et&#xa0;al., 1988</xref>; <xref ref-type="bibr" rid="B3">Amarante et&#xa0;al., 1999a</xref>; <xref ref-type="bibr" rid="B2">Amarante et&#xa0;al., 1999b</xref>; <xref ref-type="bibr" rid="B15">Estrada-Reyes et&#xa0;al., 2019a</xref>) and its adaptation to hot and humid conditions. This breed descends from Spanish sheep introduced to Florida in 1565 during the Spanish missions and the foundation of St. Augustine city (<ext-link ext-link-type="uri" xlink:href="https://floridacrackersheep.com/history.html">https://floridacrackersheep.com/history.html</ext-link>). Unfortunately, this breed is an endangered species under critical status (<ext-link ext-link-type="uri" xlink:href="https://livestockconservancy.org/heritage-breeds/heritage-breeds-list/florida-cracker-sheep/">https://livestockconservancy.org/heritage-breeds/heritage-breeds-list/florida-cracker-sheep/</ext-link>). Hence, conservation and breeding programs are crucial to preserve this unique genetic resource. To rescue this breed, a combined breeding and conservation program is needed. This requires information about genetic parameters and inbreeding metrics; therefore, our objectives were 1) to estimate the heritability and genetic correlations for traits used to select for parasite resistance and 2) to study the distribution of ROH islands related to parasite resistance across the genome in the Florida Cracker sheep population.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2_1">
<label>2.1</label>
<title>Animal population and phenotype collection</title>
<p>The research protocol was approved by the University of Florida Institutional Animal Care and Use Committee (Approval number 201810108). The phenotypes used in this study were recorded on lambs between 3 and 5 months old during the summer from 2018 to 2020 at the largest commercial Florida Cracker sheep farm (Fairmeadow sheep farm) in Ocala, Florida. This farm uses a strict breeding program that avoids mating between related individuals. Before phenotype collection, experimental lambs were dewormed with levamisole (18&#x2009;mg per kg of body weight). Then, ten days post-deworming, fecal samples were collected to verify FEC reduction. After this, lambs returned to the commercial farm and were naturally infected with <italic>H. contortus.</italic> The FEC assays were performed following the methodology described by <xref ref-type="bibr" rid="B51">Zajac and Conboy (2012)</xref>. Briefly, fecal samples were collected from the rectum of each lamb and transported to the laboratory for analysis. Samples were processed using a saturated saline solution (NaCl). Quantification of eggs per gram of feces was performed by microscopic visualization using a McMaster chamber (<xref ref-type="bibr" rid="B20">Gordon and Whitlock, 1939</xref>).</p>
<p>Phenotypic records for FEC, packed cell volume (PCV), FAM, and body condition score (BCS, 1-5) were measured 38 days post-infection with <italic>H. contortus</italic>. The FEC assessment was performed as described above. The FAMACHA score was evaluated using the FAMACHA card (<xref ref-type="bibr" rid="B45">Van Wyk and Bath, 2002</xref>). The BCS was performed using a 1 <inline-formula>
<mml:math display="inline" id="im1">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 5 scoring system and by palpation and visualization of the lumbar region according to the methodology described by <xref ref-type="bibr" rid="B37">Russel et&#xa0;al. (1969)</xref>. The PCV was assessed using the microhematocrit method. PCV values from 27 <inline-formula>
<mml:math display="inline" id="im2">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 45% were considered normal (<xref ref-type="bibr" rid="B9">Dargie and Allonby, 1975</xref>). The dataset contained 365 animals with phenotypic records at 38 days post-infection (natural <italic>Haemonchus contortus</italic> infection<italic>)</italic> for FEC, PCV, FAM, and BCS. The pedigree file comprised 695 animals born between 2016 and 2020, the progeny of 33 sires and 145 dams. The normality of data was assessed using the Shapiro-Wilk test. Then, the R &#x201c;car&#x201d; library was used to perform the Box-Cox transformation and to estimate the power parameter &#x3bb;. Then, logarithmic transformation for FEC, which was not normally distributed, was carried out as follows: (log (FEC+1)).</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>Genotyping</title>
<p>Out of the 365 animals with phenotypic records, only 300 individuals with extreme phenotypes were selected for genotyping. Blood was collected from the jugular vein of each sheep using vacutainer tubes with anticoagulant EDTA to extract DNA using DNeasy Blood and Tissue Kit (Qiagen, Valencia, CA) according to the manufacturer&#x2019;s instructions and stored at <inline-formula>
<mml:math display="inline" id="im3">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 20&#xb0;C. The DNA yield was calculated using the NanoDrop&#x2010;1000 at 260 nm (NanoDrop&#x2010;1000, Thermo Scientific). The DNA purity was evaluated using a ratio of 260/280 nm. Lambs were genotyped with the GGP Ovine 50K single nucleotide polymorphisms (SNPs) chip (GeneSeek, Inc., Lincoln, NE).</p>
<p>The initial SNP data included 45,205 SNPs and were utilized for quality control. Linkage Disequilibrium (LD) pruning was performed using the default options in the SNP and Variation Suite (SVS, Golden Helix, Inc., Bozeman, MT, USA), for this procedure, a sliding window of 50 SNPs with a 5 SNP increment, and a cutoff of R<sup>2 =</sup> 0.5 was utilized. Additional quality control was performed using the PREGSF90 software (Misztal et&#xa0;al., 2014) to remove duplicated genotypes, monomorphic markers, animals, and markers with call rate&lt; 90%, markers with minor allele frequency&lt; 0.05, markers with departure from the Hardy&#x2013;Weinberg equilibrium (difference between expected and observed frequency of heterozygous) &gt; 0.15, and animals with parent&#x2013;progeny Mendelian conflicts. Additionally, non-mapped markers or markers mapped on sexual chromosomes were removed. After quality control, 38,429 SNP remained for 279 genotyped animals.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>Genetic parameters estimation</title>
<p>Variance components, heritabilities, and genetic correlations for the FEC, PCV, FAM, and BCS were estimated using a multi-trait model with a Bayesian inference via the Gibbs sampling algorithm as implemented in the GIBBS3F90 program (Misztal et&#xa0;al., 2014). A single Gibbs chain with a total length of 300,000 iterations was generated. After discarding the initial 30,000 samples as burn-in, 1 in every ten samples was stored to compute means and standard deviations of the posterior distributions. The means were used as estimates of the genetic parameters, and their posterior standard deviations measured their estimation errors.</p>
<p>The multi-trait model was defined as follows:</p>
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<mml:msub>
<mml:mtext mathvariant="bold">Z</mml:mtext>
<mml:mrow>
<mml:mtext>FEC</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:mtd>
<mml:mtd>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:mtd>
<mml:mtd>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mtext mathvariant="bold">Z</mml:mtext>
<mml:mrow>
<mml:mtext>PCV</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:mtd>
<mml:mtd>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:mtd>
<mml:mtd>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mtext mathvariant="bold">Z</mml:mtext>
<mml:mrow>
<mml:mtext>FAM</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:mtd>
<mml:mtd>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:mtd>
<mml:mtd>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mtext mathvariant="bold">Z</mml:mtext>
<mml:mrow>
<mml:mtext>BCS</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
<mml:mo stretchy="true">]</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo stretchy="true">[</mml:mo>
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mtext mathvariant="bold">u</mml:mtext>
<mml:mrow>
<mml:mtext>FEC</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mtext mathvariant="bold">u</mml:mtext>
<mml:mrow>
<mml:mtext>PCV</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mtext mathvariant="bold">u</mml:mtext>
<mml:mrow>
<mml:mtext>FAM</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mtext mathvariant="bold">u</mml:mtext>
<mml:mrow>
<mml:mtext>BCS</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
<mml:mo stretchy="true">]</mml:mo>
</mml:mrow>
<mml:mo>+</mml:mo>
<mml:mrow>
<mml:mo stretchy="true">[</mml:mo>
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mtext mathvariant="bold">e</mml:mtext>
<mml:mrow>
<mml:mtext>FEC</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mtext mathvariant="bold">e</mml:mtext>
<mml:mrow>
<mml:mtext>PCV</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mtext mathvariant="bold">e</mml:mtext>
<mml:mrow>
<mml:mtext>FAM</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mtext mathvariant="bold">e</mml:mtext>
<mml:mrow>
<mml:mtext>BCS</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
<mml:mo stretchy="true">]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:mtext>FEC</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;PCV</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;FAM</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>&#xa0;and&#xa0;BCS</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> are the traits as defined previously; <inline-formula>
<mml:math display="inline" id="im5">
<mml:mstyle mathsize="normal">
<mml:mtext>y</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> is the vector of phenotypic records; <inline-formula>
<mml:math display="inline" id="im6">
<mml:mstyle mathsize="normal">
<mml:mtext>b</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> is a vector of systematic effects: year (3 levels; 2018, 2019 and 2020), age group (3, 4 and 5 months old classes), and sex (2 levels; male and female); <inline-formula>
<mml:math display="inline" id="im7">
<mml:mstyle mathsize="normal">
<mml:mtext>u</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> is the vector of additive direct genetic effects; <inline-formula>
<mml:math display="inline" id="im8">
<mml:mstyle mathsize="normal">
<mml:mtext>X</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula>, and <inline-formula>
<mml:math display="inline" id="im9">
<mml:mstyle mathsize="normal">
<mml:mtext>Z</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> are incidence matrices relating the elements of <inline-formula>
<mml:math display="inline" id="im10">
<mml:mstyle mathsize="normal">
<mml:mtext>y</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> to elements of <inline-formula>
<mml:math display="inline" id="im11">
<mml:mstyle mathsize="normal">
<mml:mtext>b</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im12">
<mml:mstyle mathsize="normal">
<mml:mtext>u</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula>, respectively; <inline-formula>
<mml:math display="inline" id="im13">
<mml:mstyle mathsize="normal">
<mml:mtext>e</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> is the vector of random residual effects. All random effects were assumed to be multivariate, normally distributed with null expectations and the following covariance structure:</p>
<disp-formula>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mtext>u</mml:mtext>
</mml:mstyle>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>~</mml:mo>
<mml:mtext>&#xa0;N</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
</mml:mstyle>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>V</mml:mi>
</mml:mstyle>
<mml:mtext>u</mml:mtext>
</mml:msub>
<mml:mo>&#x2297;</mml:mo>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>H</mml:mi>
</mml:mstyle>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>,</mml:mo>
<mml:mtext>and</mml:mtext>
<mml:mrow>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>e</mml:mi>
</mml:mstyle>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>~</mml:mo>
<mml:mtext>N</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
</mml:mstyle>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>R</mml:mi>
</mml:mstyle>
<mml:mtext>e</mml:mtext>
</mml:msub>
<mml:mo>&#x2297;</mml:mo>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>I</mml:mi>
</mml:mstyle>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>
<inline-formula>
<mml:math display="inline" id="im15">
<mml:mrow>
<mml:msub>
<mml:mstyle mathsize="normal">
<mml:mtext>V</mml:mtext>
</mml:mstyle>
<mml:mtext>u</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a 4 <inline-formula>
<mml:math display="inline" id="im16">
<mml:mo>&#xd7;</mml:mo>
</mml:math>
</inline-formula> 4 covariance matrix among traits for additive direct genetic effects, <inline-formula>
<mml:math display="inline" id="im17">
<mml:mo>&#x2297;</mml:mo>
</mml:math>
</inline-formula> is the Kronecker product, <inline-formula>
<mml:math display="inline" id="im18">
<mml:mrow>
<mml:msub>
<mml:mstyle mathsize="normal">
<mml:mtext>R</mml:mtext>
</mml:mstyle>
<mml:mtext>e</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a 4 <inline-formula>
<mml:math display="inline" id="im19">
<mml:mo>&#xd7;</mml:mo>
</mml:math>
</inline-formula> 4 residual error covariance matrix among traits, and H is a matrix that accounts for pedigree and genomic relationships among animals, and its inverse (<inline-formula>
<mml:math display="inline" id="im20">
<mml:mrow>
<mml:msup>
<mml:mstyle mathsize="normal">
<mml:mtext>H</mml:mtext>
</mml:mstyle>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>), which is needed to construct the mixed model equations, was obtained as in <xref ref-type="bibr" rid="B1">Aguilar et&#xa0;al. (2010)</xref>.</p>
<disp-formula>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:msup>
<mml:mstyle mathsize="normal">
<mml:mtext>H</mml:mtext>
</mml:mstyle>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>A</mml:mi>
</mml:mstyle>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mrow>
<mml:mo stretchy="true">[</mml:mo>
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mn>0</mml:mn>
</mml:mtd>
<mml:mtd>
<mml:mn>0</mml:mn>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mn>0</mml:mn>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msup>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>G</mml:mi>
</mml:mstyle>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>A</mml:mi>
</mml:mstyle>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
<mml:mo stretchy="true">]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where, <inline-formula>
<mml:math display="inline" id="im21">
<mml:mrow>
<mml:msup>
<mml:mstyle mathsize="normal">
<mml:mtext>A</mml:mtext>
</mml:mstyle>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> is the inverse of the pedigree relationship matrix, <inline-formula>
<mml:math display="inline" id="im22">
<mml:mrow>
<mml:msubsup>
<mml:mstyle mathsize="normal">
<mml:mtext>A</mml:mtext>
</mml:mstyle>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the inverse of the pedigree relationship matrix among genotyped animals and, <inline-formula>
<mml:math display="inline" id="im23">
<mml:mrow>
<mml:msup>
<mml:mstyle mathsize="normal">
<mml:mtext>G</mml:mtext>
</mml:mstyle>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> is the inverse of the genomic relationship matrix. The construction of the <inline-formula>
<mml:math display="inline" id="im24">
<mml:mstyle mathsize="normal">
<mml:mtext>G</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> matrix was based on VanRaden&#x2019;s (2008) first method. Matrix <inline-formula>
<mml:math display="inline" id="im25">
<mml:mstyle mathsize="normal">
<mml:mtext>G</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> was blended with 5% of the block of the pedigree relationship matrix <inline-formula>
<mml:math display="inline" id="im26">
<mml:mstyle mathsize="normal">
<mml:mtext>A</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> corresponding to genotyped animals (<inline-formula>
<mml:math display="inline" id="im27">
<mml:mrow>
<mml:msub>
<mml:mstyle mathsize="normal">
<mml:mtext>A</mml:mtext>
</mml:mstyle>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) to avoid singularity problems. The rescaling of <inline-formula>
<mml:math display="inline" id="im28">
<mml:mstyle mathsize="normal">
<mml:mtext>G</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> to match <inline-formula>
<mml:math display="inline" id="im29">
<mml:mrow>
<mml:msub>
<mml:mstyle mathsize="normal">
<mml:mtext>A</mml:mtext>
</mml:mstyle>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> involved diagonals and off-diagonals as described in <xref ref-type="bibr" rid="B6">Chen et&#xa0;al. (2011)</xref>.</p>
<p>Uniform prior distributions were assumed for <inline-formula>
<mml:math display="inline" id="im30">
<mml:mstyle mathsize="normal">
<mml:mtext>b</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula>; <inline-formula>
<mml:math display="inline" id="im31">
<mml:mrow>
<mml:mstyle mathsize="normal">
<mml:mtext>b</mml:mtext>
</mml:mstyle>
<mml:mo>~</mml:mo>
<mml:mtext>p</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mstyle mathsize="normal">
<mml:mtext>b</mml:mtext>
</mml:mstyle>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> where <inline-formula>
<mml:math display="inline" id="im32">
<mml:mrow>
<mml:mtext>p</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mstyle mathsize="normal">
<mml:mtext>b</mml:mtext>
</mml:mstyle>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#x221d;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> constant. Scaled inverted Wishart prior distributions with scale matrix <inline-formula>
<mml:math display="inline" id="im33">
<mml:mstyle mathsize="normal">
<mml:mtext>S</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> and degrees of freedom parameter <inline-formula>
<mml:math display="inline" id="im34">
<mml:mtext>v</mml:mtext>
</mml:math>
</inline-formula>, were assigned to covariance matrices for <inline-formula>
<mml:math display="inline" id="im35">
<mml:mstyle mathsize="normal">
<mml:mtext>u</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im36">
<mml:mstyle mathsize="normal">
<mml:mtext>e</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> to represent vague prior knowledge about these parameters, which presumably have little effect on results:</p>
<p>
<inline-formula>
<mml:math display="inline" id="im37">
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>V</mml:mi>
</mml:mstyle>
<mml:mtext>u</mml:mtext>
</mml:msub>
<mml:mo>&#x2297;</mml:mo>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>H</mml:mi>
</mml:mstyle>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>~</mml:mo>
<mml:mtext>IW</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>S</mml:mi>
</mml:mstyle>
<mml:mo>,</mml:mo>
<mml:mtext>v</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im38">
<mml:mrow>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mi>S</mml:mi>
</mml:mstyle>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">[</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo stretchy="false" mathvariant="bold">]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im39">
<mml:mrow>
<mml:mtext>v</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>p</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>5</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula>
<mml:math display="inline" id="im40">
<mml:mtext>p</mml:mtext>
</mml:math>
</inline-formula> is equal to the dimension of <inline-formula>
<mml:math display="inline" id="im41">
<mml:mrow>
<mml:msub>
<mml:mstyle mathsize="normal">
<mml:mtext>V</mml:mtext>
</mml:mstyle>
<mml:mtext>u</mml:mtext>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>.
<inline-formula>
<mml:math display="inline" id="im42">
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mtext>R</mml:mtext>
</mml:mstyle>
<mml:mtext>e</mml:mtext>
</mml:msub>
<mml:mo>&#x2297;</mml:mo>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mtext>I</mml:mtext>
</mml:mstyle>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>~</mml:mo>
<mml:mtext>IW</mml:mtext>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mstyle mathvariant="bold" mathsize="normal">
<mml:mtext>S</mml:mtext>
</mml:mstyle>
<mml:mo>,</mml:mo>
<mml:mtext>v</mml:mtext>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im43">
<mml:mstyle mathsize="normal" mathvariant="bold">
<mml:mtext>S</mml:mtext>
</mml:mstyle>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im44">
<mml:mrow>
<mml:mtext>v&#xa0;</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula> are defined as above.</p>
<p>Heritability (h<sup>2</sup>) for each trait was computed using the following equation:</p>
<disp-formula>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:msup>
<mml:mtext>h</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>u</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>u</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>e</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im45">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>u</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula>
<mml:math display="inline" id="im46">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mtext>e</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> are the additive and residual variances, respectively.</p>
<p>Genetic correlations ( <inline-formula>
<mml:math display="inline" id="im47">
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c1;</mml:mtext>
<mml:mtext>u</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) were calculated as:</p>
<disp-formula>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:msub>
<mml:mtext>&#x3c1;</mml:mtext>
<mml:mtext>u</mml:mtext>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mtext>uT</mml:mtext>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mtext>uT</mml:mtext>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="true">(</mml:mo>
<mml:mrow>
<mml:msubsup>
<mml:mtext>&#x3c3;</mml:mtext>
<mml:mrow>
<mml:mtext>uT</mml:mtext>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:msubsup>
<mml:mrow>
<mml:mtext>*&#x3c3;</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>uT</mml:mtext>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>0.5</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im48">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mtext>uT</mml:mtext>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mtext>uT</mml:mtext>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the additive genetic covariance between the two traits, and <inline-formula>
<mml:math display="inline" id="im49">
<mml:mrow>
<mml:msubsup>
<mml:mtext>&#x3c3;</mml:mtext>
<mml:mrow>
<mml:mtext>uT</mml:mtext>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im50">
<mml:mrow>
<mml:msubsup>
<mml:mtext>&#x3c3;</mml:mtext>
<mml:mrow>
<mml:mtext>uT</mml:mtext>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> are the additive direct genetic variances for trait 1 and trait 2, respectively. Similarly, phenotypic correlations were computed.</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>Runs of homozygosity and inbreeding coefficient estimation</title>
<p>Runs of homozygosity and the inbreeding coefficient were estimated in 279 individuals and computed using the Golden Helix SNP and Variation Suite (SVS) 8.7.0 software (Golden Helix, Inc., Bozeman, MT, USA; <ext-link ext-link-type="uri" xlink:href="http://www.goldenhelix.com">www.goldenhelix.com</ext-link>). The following criteria were used to define the ROH: (1) one missing SNP and up to one possible heterozygous genotype were allowed in the ROH, (2) the minimum number of SNP that constituted a ROH was set to 30, (3) the minimum SNP density per ROH was set to one SNP every 100 Kb, and (4) the maximum gap between consecutive homozygous SNP was 250 Kb. The computed ROH were then classified into bins based on length:&lt; 0.5 Mb, 0.5 &#x2013; 2 Mb, &gt; 2 &#x2013; 5 Mb, &gt; 5 &#x2013; 10 Mb, &gt; 10 &#x2013; 20 Mb, and &gt; 20 Mb.</p>
<p>The inbreeding coefficient was computed using the following formula:</p>
<disp-formula>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:msub>
<mml:mtext>F</mml:mtext>
<mml:mrow>
<mml:mtext>HOM</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>O</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>E</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo stretchy="false">/</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mtext>L</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>E</mml:mtext>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where F<sub>HOM</sub> is the probability of being homozygous by descent, O is the number of observed homozygotes for the individual over all markers, L is the number of genotyped autosomal markers, and E is the number of homozygous expected by chance. This inbreeding coefficient is equivalent to Wright&#x2019;s within-subpopulation fixation index (<xref ref-type="bibr" rid="B50">Wright, 1922</xref>). Estimation of E was performed based on the following formula:</p>
<disp-formula>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:mtext>E</mml:mtext>
<mml:mo>=</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mtext>j</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mtext>L</mml:mtext>
</mml:msubsup>
<mml:mrow>
<mml:mo stretchy="true">[</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mtext>pjqj</mml:mtext>
<mml:mfrac>
<mml:mrow>
<mml:mtext>TAj</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mtext>TAj</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="true">]</mml:mo>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where TAj is the number of non-missing genotypes for marker j, and pj and qj are the allele frequencies p and q for marker j.</p>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>Incidence of common ROH and ROH island identification</title>
<p>The detection of genomic regions with high homozygosity was based on the number of times each SNP appeared in the ROH divided by the number of animals included in the analysis. These values were then plotted against the position of the SNP along the chromosome. ROH islands were analyzed using Golden Helix SVS, defined as clusters of ROH that were&#x2009;&gt;&#x2009;1000 Kb with a minimum of 30 SNPs and found in more than 20 samples.</p>
<p>Genomic coordinates of the ROH islands were utilized to identify the genes contained in these regions using the <italic>Ovis aries</italic> v4 in the Genome Data Viewer genome browser (<ext-link ext-link-type="uri" xlink:href="https://www.ncbi.nlm.nih.gov/genome/?term=ovis+aries">https://www.ncbi.nlm.nih.gov/genome/?term=ovis+aries</ext-link>). The Quantitative Trait Locus (QTL) Database (<ext-link ext-link-type="uri" xlink:href="https://www.animalgenome.org/cgi-bin/QTLdb/OA/index">https://www.animalgenome.org/cgi-bin/QTLdb/OA/index</ext-link>) was used to identify QTL regions that overlapped the ROH islands. The genes within each ROH island were further analyzed with the Panther Classification System (<xref ref-type="bibr" rid="B28">Mi et&#xa0;al., 2013</xref>) to identify gene ontology (GO) terms and significantly enriched genes with a False Discovery Rate&lt; 0.05 using a ruminant model (<italic>Bos taurus</italic>) as reference. The Cytoscape v3.7.1 software was used for gene network graphics (<xref ref-type="bibr" rid="B39">Shannon et&#xa0;al., 2003</xref>).</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s3_1">
<label>3.1</label>
<title>Heritability estimates and genetic correlations</title>
<p>Descriptive statistics for all the phenotypes evaluated in this study are presented in <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>. The mean for FEC was 1,427 (&#xb1; 2,811) eggs per gram of feces and the mean for FAMACHA score was 2.75 (&#xb1; 0.81). For PCV, the mean was 26.21(&#xb1;6.73), and for BCS, the mean was 2.5 (&#xb1;0.36). <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> presents the genetic and residual variances and heritability estimates for FEC, FAM, PCV, and BCS. Heritability estimates (&#xb1; posterior standard deviation) were 0.33 &#xb1; 0.09 for FEC, 0.31 &#xb1; 0.10 for FAM, 0.22 &#xb1; 0.09 for PCV, and 0.19 &#xb1; 0.07 for BCS. The genetic correlations between the evaluated traits are presented in <xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>. The estimates for genetic correlations (&#xb1; posterior standard deviation) among parasite resistance traits were 0.51 &#xb1; 0.21 (FEC-FAM), -0.74 &#xb1; 0.22 (FEC-PCV), and -0.18 &#xb1; 0.31 (PCV-FAM). Genetic correlations among parasite resistance traits and BCS were 0.32 &#xb1; 0.35 (FEC-BCS), -0.22 &#xb1; 0.31 (PCV-BCS), and -0.17 &#xb1; 0.28 (FAM-BCS); however, due to our small dataset, the posteriors standard deviations were high, yielding 95% central posterior intervals (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>) containing zero or with values out of the parameter space.</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Descriptive statistics for fecal egg count (FEC), FAMACHA score (FAM), packed cell volume (PCV), and body condition score (BCS) in Florida Cracker sheep at 38 days post-infection naturally infected with <italic>H. contortus</italic>.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Trait</th>
<th valign="middle" align="left">n</th>
<th valign="middle" align="left">Mean (SD)</th>
<th valign="middle" align="left">Min</th>
<th valign="middle" align="left">Max</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">FEC (eggs/gram)</td>
<td valign="middle" align="left">365</td>
<td valign="middle" align="left">1,427 (2,811)</td>
<td valign="middle" align="left">0</td>
<td valign="middle" align="left">19,300</td>
</tr>
<tr>
<td valign="middle" align="left">FAM (score)</td>
<td valign="middle" align="left">365</td>
<td valign="middle" align="left">2.75 (0.81)</td>
<td valign="middle" align="left">1</td>
<td valign="middle" align="left">5</td>
</tr>
<tr>
<td valign="middle" align="left">PCV (%)</td>
<td valign="middle" align="left">365</td>
<td valign="middle" align="left">26.21 (6.73)</td>
<td valign="middle" align="left">8.3</td>
<td valign="middle" align="left">42</td>
</tr>
<tr>
<td valign="middle" align="left">BCS (score)</td>
<td valign="middle" align="left">365</td>
<td valign="middle" align="left">2.5 (0.36)</td>
<td valign="middle" align="left">1</td>
<td valign="middle" align="left">3.25</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Genetic (&#x3c3; <inline-formula>
<mml:math display="inline" id="im51">
<mml:mrow>
<mml:msubsup>
<mml:mtext>u</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) and residual (&#x3c3;<inline-formula>
<mml:math display="inline" id="im52">
<mml:mrow>
<mml:msubsup>
<mml:mtext>e</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) variances, and heritability (h<sup>2</sup>) estimates for fecal egg count (FEC), FAMACHA score (FAM), packed cell volume (PCV), and body condition score (BCS) with 95% central posterior interval (in parentheses) in Florida Cracker sheep at 38 days post-infection naturally infected with <italic>H. contortus</italic>.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Trait</th>
<th valign="middle" align="center">&#x3c3; <inline-formula>
<mml:math display="inline" id="im53">
<mml:mrow>
<mml:msubsup>
<mml:mtext>u</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th valign="middle" align="center">&#x3c3; <inline-formula>
<mml:math display="inline" id="im54">
<mml:mrow>
<mml:msubsup>
<mml:mtext>e</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th valign="middle" align="center">h<sup>2</sup>
</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">FEC</td>
<td valign="middle" align="center">0.39 (0.14,0.65)</td>
<td valign="middle" align="center">0.78 (0.57,0.99)</td>
<td valign="middle" align="center">0.33 (0.15,0.52)</td>
</tr>
<tr>
<td valign="middle" align="left">FAM</td>
<td valign="middle" align="center">0.20 (0.05,0.35)</td>
<td valign="middle" align="center">0.44 (0.32,0.57)</td>
<td valign="middle" align="center">0.31 (0.11,0.51)</td>
</tr>
<tr>
<td valign="middle" align="left">PCV</td>
<td valign="middle" align="center">5.39 (0.66,10.22)</td>
<td valign="middle" align="center">18.35 (13.92,22.86)</td>
<td valign="middle" align="center">0.22 (0.05,0.41</td>
</tr>
<tr>
<td valign="middle" align="left">BCS</td>
<td valign="middle" align="center">0.01 (0.00,0.03)</td>
<td valign="middle" align="center">0.06 (0.05,0.07)</td>
<td valign="middle" align="center">0.19 (0.05,0.32)</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Genetic (above the diagonal) and phenotypic (below the diagonal) correlations among fecal egg count (FEC), FAMACHA score (FAM), packed cell volume (PCV), and body condition score (BCS) with 95% central posterior interval (in parentheses) in Florida Cracker sheep at 38 days post-infection naturally infected with <italic>H. contortus</italic>.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="bottom" align="left">Trait</th>
<th valign="bottom" align="left">FEC</th>
<th valign="bottom" align="left">FAM</th>
<th valign="bottom" align="left">PCV</th>
<th valign="bottom" align="left">BCS</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="bottom" align="left">
<bold>FEC</bold>
</td>
<td valign="bottom" align="left"/>
<td valign="bottom" align="left">0.51 (0.09,0.94)</td>
<td valign="bottom" align="left">
<inline-formula>
<mml:math display="inline" id="im55">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.74 ( <inline-formula>
<mml:math display="inline" id="im56">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 1.16, <inline-formula>
<mml:math display="inline" id="im57">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.30)</td>
<td valign="bottom" align="left">0.32 ( <inline-formula>
<mml:math display="inline" id="im58">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.37,1.02)</td>
</tr>
<tr>
<td valign="bottom" align="left">
<bold>FAM</bold>
</td>
<td valign="bottom" align="left">0.23 (0.13,0.34)</td>
<td valign="bottom" align="left"/>
<td valign="bottom" align="left">
<inline-formula>
<mml:math display="inline" id="im59">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula>0.18 ( <inline-formula>
<mml:math display="inline" id="im60">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.79,0.44)</td>
<td valign="bottom" align="left">
<inline-formula>
<mml:math display="inline" id="im61">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.17 (<inline-formula>
<mml:math display="inline" id="im62">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.73,0.40)</td>
</tr>
<tr>
<td valign="bottom" align="left">
<bold>PCV</bold>
</td>
<td valign="bottom" align="left">
<inline-formula>
<mml:math display="inline" id="im63">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.32 ( <inline-formula>
<mml:math display="inline" id="im64">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.42, <inline-formula>
<mml:math display="inline" id="im65">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.21)</td>
<td valign="bottom" align="left">
<inline-formula>
<mml:math display="inline" id="im66">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.33 ( <inline-formula>
<mml:math display="inline" id="im67">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.44, <inline-formula>
<mml:math display="inline" id="im68">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.23)</td>
<td valign="bottom" align="left"/>
<td valign="bottom" align="left">
<inline-formula>
<mml:math display="inline" id="im69">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.22 ( <inline-formula>
<mml:math display="inline" id="im70">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.82,0.39)</td>
</tr>
<tr>
<td valign="bottom" align="left">
<bold>BCS</bold>
</td>
<td valign="bottom" align="left">
<inline-formula>
<mml:math display="inline" id="im71">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.16 (<inline-formula>
<mml:math display="inline" id="im72">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.27, <inline-formula>
<mml:math display="inline" id="im73">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.04)</td>
<td valign="bottom" align="left">
<inline-formula>
<mml:math display="inline" id="im74">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.25 ( <inline-formula>
<mml:math display="inline" id="im75">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.36, <inline-formula>
<mml:math display="inline" id="im76">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.14)</td>
<td valign="bottom" align="left">0.30 (0.20,0.40)</td>
<td valign="bottom" align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Runs of homozygosity and inbreeding coefficient</title>
<p>A total of 4,561 ROH ranging from 0.083 to 25.5 Mb were identified in the present study (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>; <xref ref-type="supplementary-material" rid="ST1">
<bold>Supplementary File 1</bold>
</xref>). The average length of ROH was 3.33 Mb. The analysis of the distribution of ROH according to size (length) showed that the majority of the ROH were in the &gt; 2 &#x2013; 5 Mb category (47. 24%), followed by the 0.5 &#x2013; 2 Mb category (26.17%). The longest ROH (&gt; 20 Mb) only included 0.17% of the total ROH. The average inbreeding coefficient was <inline-formula>
<mml:math display="inline" id="im77">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.02 &#xb1; 0.07.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Distribution of the number of runs of homozygosity (ROH) of different lengths (Mb) in Florida Cracker sheep.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fanim-04-1249470-g001.tif"/>
</fig>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Incidence of common ROH and ROH islands</title>
<p>The incidence of common ROH per SNP is presented in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref> and <xref ref-type="supplementary-material" rid="ST2">
<bold>Supplementary File 2</bold>
</xref>. A higher incidence of ROH was observed in OAR5, OAR6, OAR12, OAR15, OAR19, and OAR21. The highest incidence of common runs per SNP was observed in OAR15, with over 120 incidences. The total number of ROH islands distributed across autosomal chromosomes was 113 (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). Detailed distribution of the ROH islands across the 26 ovine chromosomes is presented in <xref ref-type="supplementary-material" rid="ST3">
<bold>Supplementary File 3</bold>
</xref>. The number of islands ranged from a minimum of 1 cluster per chromosome (OAR16 and OAR23) to 9 clusters per chromosome (OAR2).</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Incidence of common Runs of Homozygosity (ROH) per single nucleotide polymorphism (SNP) in Florida Cracker sheep.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fanim-04-1249470-g002.tif"/>
</fig>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Distribution of ROH islands per chromosome in Florida Cracker sheep.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fanim-04-1249470-g003.tif"/>
</fig>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Annotation of ROH islands</title>
<p>Gene annotation provided insight into the biological functions related to the ROH islands observed in Florida Cracker sheep. The genes identified in the ROH islands are presented in <xref ref-type="supplementary-material" rid="ST4">
<bold>Supplementary File 4</bold>
</xref>. The ROH islands in OAR1, 2, 11, 18, 19, and 20 included candidate genes for parasite resistance in Florida Cracker sheep and other sheep breeds in the US (<italic>IL12RB2, NFIL3, TRPM3, TNF, NOS2, CCR3, OVAR-DRA</italic>, and <italic>IL16</italic>) (<xref ref-type="bibr" rid="B18">Estrada-Reyes et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B15">Estrada-Reyes et&#xa0;al., 2019a</xref>; <xref ref-type="bibr" rid="B16">Estrada-Reyes et&#xa0;al., 2019b</xref>; <xref ref-type="bibr" rid="B14">Estrada-Reyes et&#xa0;al., 2021</xref>). The ROH islands overlapped parasite resistance and health QTLs previously reported in the Sheep QTL database (<xref ref-type="supplementary-material" rid="ST4">
<bold>Supplementary File 4</bold>
</xref>). The overlapped QTL included traits such as blood IgA level (OAR1, 4, 10, 12, 13, 15, 20, and 22), <italic>Haemonchus contortus</italic> FEC (OAR2, 3, 4, 10, 11, 12, 16, 20, 21 and 22), worm count (OAR2, 18, 22 and 26), strongyle FEC (OAR6, 7, 8, 9, 10, 14, 15, 17, 21, 22 and 26), <italic>Trichostrongylus</italic> adult and larva count (OAR2, 8 and 11), <italic>Trichostrongylus colubriformis</italic> FEC (OAR3, 11, 12 and 22), <italic>Nematodirus</italic> FEC (OAR14), hematocrit (OAR18, 22 and 26), and change in eosinophil number (OAR21). Most of the annotated genes in ROH islands were related to immune response processes (OAR2, 7, 8, 11, 12, 19, and 20) such as T-lymphocyte activation and proliferation, lymphocyte and leucocyte migration, granulocyte chemotaxis, activation of the innate immune response, immune cell extravasation, inflammatory response, chemokine, and cytokine signaling and production, and regulation of humoral immune response (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>). The ROH islands identified in OAR7 included &gt; 100 T-cell receptor genes, and OAR20 contained several (&gt;14) major histocompatibility class I (MCH-I) and class II (MHC-II) genes (i.e., <italic>OVAR-DRB1, OVAR-DRB2, OVAR-DQB1, BOLA</italic>, etc.), and complement activation genes (<italic>C2, C4, C4A, CFB, BAG6, BTN1A1, NCR3</italic>, and <italic>BTNL2</italic>).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Gene network for enriched ROH islands controlling important immune response mechanisms in Florida Cracker sheep.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fanim-04-1249470-g004.tif"/>
</fig>
<p>The PANTHER gene pathway analysis showed significantly enriched genes associated with the following biological processes: transcription factor binding (OAR1 and 3), kinase activity (OAR1), immune response processes (OAR2, 8, 11, 12, 19 and 20), homeostasis (OAR2), regulation of organelle organization (OAR2), DNA catabolism (OAR5), apoptosis (OAR5), cAMP signaling (OAR5), regulation of renin and endocrine system (OAR7), thrombin signaling (OAR7), regulation of cytosolic calcium and calcium-mediated signaling (OAR7 and OAR19), eye photoreceptor cell development (OAR7), hydro-lyase activity (OAR 9), linoleic acid metabolism and lipoxygenase activity (OAR11), sensory perception of smell (OAR 11 and 14), protein localization and modification (OAR12 and OAR26), regulation of nitrogen compound metabolism (OAR14 and 26), DNA damage signaling (OAR15 and 19), and nucleosome and chromosome organization (OAR20).</p>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<p>Florida Cracker sheep have been naturally and artificially selected for resistance to gastrointestinal parasites (<xref ref-type="bibr" rid="B15">Estrada-Reyes et&#xa0;al., 2019a</xref>; <xref ref-type="bibr" rid="B14">Estrada-Reyes et&#xa0;al., 2021</xref>). This study estimated the genetic parameters for FEC, FAM, PCV, and BCS in Florida Cracker sheep naturally infected with <italic>H. contortus</italic> and the distribution of runs of homozygosity islands related to parasite resistance. The range and means for FAM and BCS recorded in our study were similar to those reported in other sheep populations, such as Merinos from South Africa (<xref ref-type="bibr" rid="B10">Dlamini et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B41">Snyman and Fisher, 2019</xref>). It is essential to highlight that <xref ref-type="bibr" rid="B10">Dlamini et&#xa0;al. (2019)</xref> studied a Merino population under selection for resistance to <italic>Haemonchus contortus</italic> since 2011; however, in this selected population, the mean FEC was higher (3,281 across several samplings) than in the Florida Cracker population (1,427). The h<sup>2</sup> estimates for FEC and PCV (0.33 and 0.22, respectively) were of moderate magnitude; therefore, genetic progress could be feasible by selection for these traits in Florida Cracker sheep. However, the small population evaluated in this study might influence the accuracy of the genetic parameter estimates. Further monitoring of h<sup>2</sup> estimates for parasite resistance is required for implementing breeding and conservation programs in this breed. <xref ref-type="bibr" rid="B33">Notter et&#xa0;al. (2018)</xref> reported heritability values of 0.19 and 0.24 for FEC in Katahdin lambs at weaning and post-weaning. Similar results were observed by <xref ref-type="bibr" rid="B32">Ngere et&#xa0;al. (2018)</xref> in Katahdin lambs, who reported heritability values for FEC ranging from 0.18 to 0.26 for weaning and from 0.23 to 0.46 for post-weaning. In this study, we evaluated Florida Cracker lambs during the post-weaning period, and our results are similar to the estimates reported by <xref ref-type="bibr" rid="B32">Ngere et&#xa0;al. (2018)</xref>.</p>
<p>For the FAMACHA score, the heritability estimate (0.31) was higher when compared to reported values in Merino lambs [0.24; <xref ref-type="bibr" rid="B35">Riley and Van Wyk (2009)</xref>] and Dorper sheep [0.19; <xref ref-type="bibr" rid="B31">Ngere et&#xa0;al. (2017)</xref>]. However, lower h<sup>2</sup> values for FEC (0.10), PCV (0.13), FAM (0.30), and BCS (0.17) have been observed in Santa Ines sheep, a Brazilian breed raised under hot and humid conditions (<xref ref-type="bibr" rid="B36">Rodrigues et&#xa0;al., 2021</xref>).</p>
<p>All the posterior standard deviations for the genetic correlations were high due to our study&#x2019;s small number of records, highlighting the need for collecting more information. The 95% central posterior interval for all the correlations but the FEC-FAM correlation included zero or values out of the parameter space; thus, we could not make any conclusion about these estimates. The correlation FEC-FAM was 0.51 and the 95% central posterior interval (0.09,0.94). This correlation suggests that improvement in parasite resistance could be achieved in this population by selection based on FAM, a trait with additional advantages due to its high heritability and ease of recording; however, the ample 95% central posterior interval also remarks the need for more information to confirm this. Previous studies have reported higher estimates for the genetic correlations between FEC and FAMACHA scores ranging from 0.85 to 0.89 (<xref ref-type="bibr" rid="B29">Morris et&#xa0;al., 2004</xref>; <xref ref-type="bibr" rid="B35">Riley and Van Wyk, 2009</xref>; <xref ref-type="bibr" rid="B30">Mpetile et&#xa0;al., 2015</xref>) in sheep.</p>
<p>The FEC is considered the standard phenotype utilized for selection for parasite resistance (<xref ref-type="bibr" rid="B48">Woolastont and Piper, 1996</xref>; Morris et&#xa0;al., 1997; <xref ref-type="bibr" rid="B49">Woolastont and Windon, 2001</xref>). However, sheep producers do not commonly use FEC due to the associated costs. FAMACHA score has been successfully utilized as an alternative selection trait when <italic>H. contortus</italic> is the predominant gastrointestinal nematode (<xref ref-type="bibr" rid="B25">Kaplan et&#xa0;al., 2004</xref>) in sheep operations. This method only requires using a FAMACHA card to assess the level of anemia. Our results suggest that genetic selection for FAMACHA can be effective in improving FEC. Runs of homozygosity were used in this study to investigate potential genomic regions under selection. We also observed a low average inbreeding coefficient (<inline-formula>
<mml:math display="inline" id="im78">
<mml:mo>&#x2212;</mml:mo>
</mml:math>
</inline-formula> 0.02 &#xb1; 0.07). This negative estimate indicates that in this population there is, on average, more heterozygosity than expected, although the value does not differ significantly from zero. This inbreeding level is slightly lower than values reported for Sarda (0.04) and Sardinian Ancestral black (0.06) sheep from Italy by <xref ref-type="bibr" rid="B5">Cesarani et&#xa0;al. (2019)</xref>. Similar estimates for average inbreeding were reported in Boer (0.01) and Nubian (0.01) goats (<xref ref-type="bibr" rid="B22">Hidalgo-Moreno et&#xa0;al., 2020</xref>). It is possible that the inbreeding coefficient reported in this manuscript could be a result of the breeding program utilized at the studied commercial farm. Analysis of ROH and subsequent PANTHER gene pathway analysis provided insight into the biological implications related to conserved regions found in the genome of the Florida Cracker sheep population. 113 ROH islands were distributed across the 26 ovine chromosomes in this breed. Most of these ROH islands were related to immune response processes such as T-lymphocyte activation and proliferation, lymphocyte and leucocyte migration, granulocyte chemotaxis, activation of innate immune response, immune cell extravasation, inflammatory response, chemokine, and cytokine signaling and production, and regulation of humoral immune response. Several of these mechanisms have been previously highlighted in Florida Cracker sheep infected naturally with <italic>H. contortus</italic> (<xref ref-type="bibr" rid="B15">Estrada-Reyes et&#xa0;al., 2019a</xref>; <xref ref-type="bibr" rid="B14">Estrada-Reyes et&#xa0;al., 2021</xref>). Previous studies with Florida Cracker sheep have focused on the identification of potential DNA variants (SNPs and CNVs) associated with parasite resistance (<xref ref-type="bibr" rid="B18">Estrada-Reyes et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B15">Estrada-Reyes et&#xa0;al., 2019a</xref>; <xref ref-type="bibr" rid="B14">Estrada-Reyes et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B13">Estrada-Reyes et&#xa0;al., 2022</xref>). The ROH islands identified in this manuscript overlapped these variants and other QTLs associated with FEC, adult worm count, IgA level, changes in eosinophil count and hematocrit, and included previously reported candidate genes with significant SNPs associated with FEC, red blood cell count, hemoglobin level, neutrophil count and PCV such as <italic>TRPM3</italic>, <italic>IL16</italic> and <italic>TNF</italic> genes in this sheep breed (<xref ref-type="bibr" rid="B15">Estrada-Reyes et&#xa0;al., 2019a</xref>; <xref ref-type="bibr" rid="B14">Estrada-Reyes et&#xa0;al., 2021</xref>). Other important candidate genes included in these ROH islands were <italic>NOS2</italic>, <italic>CCR3</italic>, <italic>OVAR-DRA</italic>, and <italic>IL12RB2</italic>, which have been associated with parasite resistance in St. Croix and Katahdin sheep (<xref ref-type="bibr" rid="B18">Estrada-Reyes et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B16">Estrada-Reyes et&#xa0;al., 2019b</xref>; <xref ref-type="bibr" rid="B17">Estrada-Reyes et&#xa0;al., 2019c</xref>). Thus, it is possible that immunity-related genes within ROH islands and previously identified candidate genes, including <italic>TRPM3</italic>, <italic>IL16</italic>, <italic>TNF</italic>, <italic>IL12RB2</italic>, <italic>NOS2</italic>, and <italic>CCR3</italic>, may have a crucial role in controlling <italic>H. contortus</italic> and gastrointestinal parasites in this heritage breed.</p>
<p>The <italic>TRPM3</italic> gene encodes a protein that forms a transient receptor potential channel. The transient receptor potential channels are calcium-permeable cation channels that allow Ca2+ influx and induce cell depolarization (<xref ref-type="bibr" rid="B43">Thiel et&#xa0;al., 2017</xref>). The exact role of the <italic>TRPM3</italic> gene during <italic>H. contortus</italic> infections is still unknown, but this gene may play an essential role in controlling Ca2+ influx in immune cells during response processes against gastrointestinal parasites, including <italic>H. contortus</italic>. The <italic>IL16</italic> gene regulates CD4+T lymphocyte production, chemotaxis, and macrophage polarization (<xref ref-type="bibr" rid="B8">Cruikshank et&#xa0;al., 2000</xref>; <xref ref-type="bibr" rid="B23">Huang et&#xa0;al., 2019</xref>). This was first proposed as a chemoattractant factor for T lymphocytes (<xref ref-type="bibr" rid="B4">Center and Cruikshank, 1982</xref>). The TNF is a cytokine that triggers inflammatory mechanisms, and it is commonly secreted by macrophages and neutrophils (<xref ref-type="bibr" rid="B42">Tamassia et&#xa0;al., 2019</xref>). Production of TNF by activated neutrophils (<xref ref-type="bibr" rid="B54">Zimmermann et&#xa0;al., 2015</xref>) and macrophages can mediate parasite resistance by inducing nitric oxide production during parasitic infections (<xref ref-type="bibr" rid="B40">Silva et&#xa0;al., 1995</xref>; <xref ref-type="bibr" rid="B11">Elmahallawy et&#xa0;al., 2021</xref>). In previous studies with Florida Cracker sheep, SNPs within TNF were associated with neutrophil count (<xref ref-type="bibr" rid="B15">Estrada-Reyes et&#xa0;al., 2019a</xref>). The <italic>IL12RB2</italic> and <italic>NOS2</italic> genes participate in signaling T helper 1 response (<xref ref-type="bibr" rid="B44">Thierfelder et&#xa0;al., 1996</xref>; <xref ref-type="bibr" rid="B19">Giordano et&#xa0;al., 2011</xref>). The CCR3 is present in eosinophils and is responsible for binding CCL11 or eotaxin, a specific eosinophil chemokine (<xref ref-type="bibr" rid="B12">Erin et&#xa0;al., 2002</xref>). This chemokine was also included in the ROH islands (OAR11) from our study. Further studies are required to investigate the role of these genes in Florida Cracker sheep production.</p>
</sec>
<sec id="s5" sec-type="conclusion">
<label>5</label>
<title>Conclusion</title>
<p>Parasite resistance traits (FEC, FAM, and PCV) are moderately heritable and suitable for selection in Florida Cracker sheep. The favorable genetic correlation between FAMACHA score and FEC suggest that genetic improvement for parasite resistance in this breed could be achieved by using FAMACHA score because of its ease of recording and reduced costs. Selection for parasite resistance results in the accumulation of ROH associated with this trait in Florida Cracker sheep. The ROH could contain important candidate genes for parasite resistance in this sheep breed. Further studies are required to validate our results.</p>
</sec>
<sec id="s6" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="s12">
<bold>Supplementary Files</bold>
</xref>, further inquiries can be directed to the corresponding author/s.</p>
</sec>
<sec id="s7" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The animal study was approved by University of Florida Institutional Animal Care and Use Committee (Approval number 201810108). The study was conducted in accordance with the local legislation and institutional requirements.</p>
</sec>
<sec id="s8" sec-type="author-contributions">
<title>Author contributions</title>
<p>ZE-R designed the experiment. ZE-R, JH, IO, AP-C, TT, MI and GT assisted with data collection. JH and ZE-R conducted the data analysis. JH, ZE-R, IO, AP-C, TT, MI and GT drafted the manuscript. JH and ZE-R reviewed the final manuscript together. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec id="s9" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. Neogene Corporation partially supported funding support. This study received partial funding from Neogen Corporation - GeneSeek Operations. The funder was not involved in the study design, collection, analysis, interpretation of data, the writing of this article or the decision to submit it for publication.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>We acknowledge Carol Postley (Fairmeadow Farm), Dr. Owen Rae, and the students at the College of Veterinary Medicine at the University of Florida for their participation in phenotypic data collection. We gratefully acknowledge the valuable comments of Dr. Ignacy Misztal from the University of Georgia and the anonymous reviewers.</p>
</ack>
<sec id="s10" sec-type="COI-statement">
<title>Conflict of interest</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 id="s11" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s12" sec-type="supplementary-material">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fanim.2023.1249470/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fanim.2023.1249470/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table_1.xlsx" id="ST1" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
<supplementary-material xlink:href="Table_2.xlsx" id="ST2" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
<supplementary-material xlink:href="Table_3.xlsx" id="ST3" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>
<supplementary-material xlink:href="Table_4.xlsx" id="ST4" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet"/>

</sec>
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