<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article article-type="research-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Genet.</journal-id>
<journal-title>Frontiers in Genetics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Genet.</abbrev-journal-title>
<issn pub-type="epub">1664-8021</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1089490</article-id>
<article-id pub-id-type="doi">10.3389/fgene.2023.1089490</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Genetics</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Predicting phenotypes of beef eating quality traits</article-title>
<alt-title alt-title-type="left-running-head">Forutan et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fgene.2023.1089490">10.3389/fgene.2023.1089490</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Forutan</surname>
<given-names>Mehrnush</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1507653/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lynn</surname>
<given-names>Andrew</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2087545/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Aliloo</surname>
<given-names>Hassan</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/676635/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Clark</surname>
<given-names>Samuel A.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/801177/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>McGilchrist</surname>
<given-names>Peter</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Polkinghorne</surname>
<given-names>Rod</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Hayes</surname>
<given-names>Ben J.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1250586/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Queensland Alliance for Agriculture and Food Innovation</institution>, <institution>The University of Queensland</institution>, <addr-line>Brisbane</addr-line>, <addr-line>QLD</addr-line>, <country>Australia</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Environmental and Rural Science</institution>, <institution>University of New England</institution>, <addr-line>Armidale</addr-line>, <addr-line>NSW</addr-line>, <country>Australia</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Birkenwood International</institution>, <addr-line>Hawthorn</addr-line>, <addr-line>VIC</addr-line>, <country>Australia</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/37927/overview">Shawn R. Campagna</ext-link>, The University of Tennessee, United States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/909009/overview">Hinayah Rojas De Oliveira</ext-link>, Purdue University, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/749802/overview">Jun-Mo Kim</ext-link>, Chung-Ang University, Republic of Korea</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Mehrnush Forutan, <email>m.forutan@uq.edu.au</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Livestock Genomics, a section of the journal Frontiers in Genetics</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>01</day>
<month>02</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1089490</elocation-id>
<history>
<date date-type="received">
<day>04</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>01</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Forutan, Lynn, Aliloo, Clark, McGilchrist, Polkinghorne and Hayes.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Forutan, Lynn, Aliloo, Clark, McGilchrist, Polkinghorne and Hayes</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>
<bold>Introduction:</bold> Phenotype predictions of beef eating quality for individual animals could be used to allocate animals to longer and more expensive feeding regimes as they enter the feedlot if they are predicted to have higher eating quality, and to sort carcasses into consumer or market value categories. Phenotype predictions can include genetic effects (breed effects, heterosis and breeding value), predicted from genetic markers, as well as fixed effects such as days aged and carcass weight, hump height, ossification, and hormone growth promotant (HGP) status.</p>
<p>
<bold>Methods:</bold> Here we assessed accuracy of phenotype predictions for five eating quality traits (tenderness, juiciness, flavour, overall liking and MQ4) in striploins from 1701 animals from a wide variety of backgrounds, including <italic>Bos indicus</italic> and <italic>Bos taurus</italic> breeds, using genotypes and simple fixed effects including days aged and carcass weight. The genetic components were predicted based on 709k single nucleotide polymorphism (SNP) using BayesR model, which assumes some markers may have a moderate to large effect. Fixed effects in the prediction included principal components of the genomic relationship matrix, to account for breed effects, heterosis, days aged and carcass weight.</p>
<p>
<bold>Results and Discussion:</bold> A model which allowed breed effects to be captured in the SNP effects (e.g., not explicitly fitting these effects) tended to have slightly higher accuracies (0.43&#x2013;0.50) compared to when these effects were explicitly fitted as fixed effects (0.42&#x2013;0.49), perhaps because breed effects when explicitly fitted were estimated with more error than when incorporated into the (random) SNP effects. Adding estimates of effects of days aged and carcass weight did not increase the accuracy of phenotype predictions in this particular analysis. The accuracy of phenotype prediction for beef eating quality traits was sufficiently high that such predictions could be useful in predicting eating quality from DNA samples taken from an animal/carcass as it enters the processing plant, to enable optimal supply chain value extraction by sorting product into markets with different quality. The BayesR predictions identified several novel genes potentially associated with beef eating quality.</p>
</abstract>
<kwd-group>
<kwd>BayesR</kwd>
<kwd>beef cattle</kwd>
<kwd>eating quality</kwd>
<kwd>high-density SNP</kwd>
<kwd>phenotype prediction</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Historically the value of breeding cattle has been principally based on improved growth, milk and fertility traits and correlated measures of meat quality and quantity. Recent years have seen a shift from producer-driven to consumer-driven beef production, with significant emphasis placed on consumer satisfaction and interest in eating quality indicators, with incentives implemented by beef brands for improved compliance and product quality.</p>
<p>Genomic selection (<xref ref-type="bibr" rid="B9">Meuwissen et al., 2001</xref>) offers the opportunity to select directly for beef eating quality. Samples of beef that are consumer evaluated for quality can be genotyped for genome wide markers and then marker prediction equations for eating quality derived. Then young bulls and heifers could be genotyped and evaluated on their eating quality genomic estimated breeding values (GEBVs) (<xref ref-type="bibr" rid="B12">Pimentel and K&#xf6;nig, 2012</xref>; <xref ref-type="bibr" rid="B2">Bedhane et al., 2019</xref>; <xref ref-type="bibr" rid="B7">Magalh&#xe3;es et al., 2019</xref>).</p>
<p>Phenotype predictions, which predict the eating quality of beef from an individual animal, may also be of interest, for example to sort carcasses into consumer or market value categories, or to allocate animals to longer and more expensive feeding regimes as they enter the feedlot if they are predicted to have higher eating quality. Phenotype predictions could include genetic effects, predicted from genetic markers, as well as estimates of fixed effects such as days aged and carcass weight. <xref ref-type="bibr" rid="B1">Alsahaf et al. (2018)</xref> used an analogous approach to predict slaughter age in pigs and found combining estimates of fixed effect predictors and genetic effects gave higher accuracy than genetic effects alone.</p>
<p>Our aim here was to determine the most accurate method for predicting phenotypes of beef eating quality traits from genotypes and other independent factors such as carcass weight and days aged, using consumer eating quality data from the striploins of 1701 beef cattle.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>Materials and methods</title>
<p>The phenotype data consisted of eating quality traits from striploin samples from 1701 cattle collected from 65 cohorts between 1997 and 2019 in Australia. The eating quality traits were scores for tenderness (TENDER), juiciness (JUICY), flavour (FLAVOR), overall liking (OVERALL), and MQ4 score formed by weighting the four sensory scores, MQ4 &#x3d; 0.4 &#xd7; TENDER &#x2b; 0.1 &#xd7; JUICY &#x2b; 0.2 &#xd7; FLAVOR &#x2b; 0.3 &#xd7; OVERALL, obtained using optimum linear discriminating function (<xref ref-type="bibr" rid="B15">Watson et al., 2008</xref>). All samples were assessed by consumer panels as described by <xref ref-type="bibr" rid="B15">Watson et al. (2008)</xref>. Each sample was 70&#xa0;mm long by 40&#xa0;mm wide by 25&#xa0;mm thick, cooked for 5&#xa0;min 15&#xa0;s on a silex grill with the top plate being 195 Celsius and bottom is 210 Celsius, rested for 3&#xa0;min, cut in half and served directly to consumers who are instructed to eat it immediately after receiving. Each panel assessment of an animal was eaten by 10 consumers, to remove extreme values, the two highest and two lowest values were removed. The remaining six values were then averaged for a &#x201c;clipped&#x201d; sensory score (as described by <xref ref-type="bibr" rid="B15">Watson et al., 2008</xref>). Each treatment group within an experiment is a cohort. All animals in the project were HGP free.</p>
<p>The breed background of the animals was diverse, including 261 Brahman (<italic>Bos indicus</italic>), 285 Angus, 274 Hereford, 38 Shorthorn, 72 Holstein, 23 Jersey (<italic>Bos taurus</italic>), 100 Belmont Red, 83 Santa Gertrudis (composite), 121 crossbred and 444 with unknown breed. The animals included 1,319, 345 and 37 steers, heifers, and bulls, respectively, although sex was completely confounded with contemporary group. As these were largely commercial animals, little pedigree was available, however breed information could be reconstructed by genotype as described below.</p>
<p>Genotypes with a missing rate &#x3e;0.1, a minor allele frequency (MAF) of &#x3c;0.01 and those departing from the Hardy-Weinberg equilibrium at <italic>p</italic> &#x3c; 1 &#xd7; 10<sup>&#x2212;8</sup> were removed. After quality control, the genotypes were imputed up to 7,09,068 SNPs (Illumina HD array) using findhap4 (<xref ref-type="bibr" rid="B14">VanRaden et al., 2013</xref>). The reference panel for imputation was 4,506 animals genotyped with the Illumina HD array of a wide variety of breeds and crossbreds, including <italic>Bos indicus</italic> breeds, <italic>Bos taurus</italic> breeds, and crossbreds and composites, encompassing the target breeds in this study. All imputation achieved with 91%&#x2013;98% accuracy for the current study. The first four principal components (PCs) of the genomic relationship matrix (derived with GCTA, <xref ref-type="bibr" rid="B17">Yang et al., 2011</xref>) which comprised 25% of the variance in genotype data were used as proxies for breed composition. Inspection showed that the first principal component was 99.9% correlated with <italic>Bos indicus</italic> content.</p>
<p>The BayesR approach (<xref ref-type="bibr" rid="B4">Erbe et al., 2012</xref>) with four strategies were implemented for phenotype predictions. In the BayesR, the variance associated with the <italic>i</italic>th SNP is assumed to come from one of four distributions <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">&#x3c3;</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="{" close="}" separators="|">
<mml:mrow>
<mml:mn mathvariant="bold">0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mn mathvariant="bold">10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">4</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">&#x3c3;</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mn mathvariant="bold">10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">3</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">&#x3c3;</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:msup>
<mml:mn mathvariant="bold">10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mi mathvariant="bold-italic">&#x3c3;</mml:mi>
</mml:mrow>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
<bold>,</bold> where <inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>g</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the genetic variance of the trait. This allows the BayesR model (<xref ref-type="bibr" rid="B10">Moser et al., 2015</xref>) to have a flexible SNP effect distribution which is a mixture of four possible normal distributions: <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:mfenced open="" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="bold-italic">N</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn mathvariant="bold">0,0</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="bold-italic">N</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn mathvariant="bold">0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mn mathvariant="bold">10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">4</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">&#x3c3;</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">N</mml:mi>
<mml:mo>(</mml:mo>
<mml:mn mathvariant="bold">0,10</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">3</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">&#x3c3;</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
<mml:mo>)</mml:mo>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="bold-italic">N</mml:mi>
<mml:mo>(</mml:mo>
<mml:mn mathvariant="bold">0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msup>
<mml:mn mathvariant="bold">10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mi mathvariant="bold-italic">&#x3c3;</mml:mi>
</mml:mrow>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>
<bold>,</bold> all with a mean of 0 but with different variances.</p>
<p>In strategy 1, the accuracy of predicting phenotype from genomic breeding values only was assessed. A mixed linear model was fitted, including fixed effects of PCs and heterosis, for each of the 5 eating quality traits separately using BayesR (<xref ref-type="bibr" rid="B4">Erbe et al., 2012</xref>). The heterosis was defined as the regression of the trait on proportion of heterozygote loci across all loci for each animal.<disp-formula id="e1">
<mml:math id="m4">
<mml:mrow>
<mml:mi mathvariant="bold-italic">y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">&#xb5;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">y</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
</mml:mrow>
<mml:mo>_</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
</mml:mrow>
<mml:mo>_</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold-italic">w</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mi mathvariant="bold-italic">h</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn>3</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn>4</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">h</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">o</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">Z</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>where <bold>y</bold> is phenotype; <bold>cg</bold> is a fixed contemporary group effect (65 groups), <bold>days_aged</bold> is a covariate of days aged after slaughter (ranging from 3 to 35&#xa0;days; mean &#xb1; SD: 10.92 &#xb1; 5.18&#xa0;days), <bold>carcass_weight</bold> is a covariate on carcass weight (ranging from 50.6 to 576&#xa0;kg; mean &#xb1; SD: 261 &#xb1; 74&#xa0;Kg), <bold>PC1</bold> to <bold>PC4</bold> are the first 4 principal components of the genomic relationship matrix, fitted to control for <italic>Bos indicus</italic> content and breed, <bold>
<italic>heterosis</italic>
</bold> is a regression on marker heterozygosity, <bold>
<italic>Z</italic>
</bold> is matrix allocating genotypes of individuals to SNP effects, <bold>
<italic>g</italic>
</bold> is a vector of SNP effects, and <bold>
<italic>e</italic>
</bold> is a random residual with <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mo>&#x223c;</mml:mo>
<mml:mi mathvariant="bold-italic">N</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn mathvariant="bold">0</mml:mn>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">&#x3c3;</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>Next, phenotype was predicted with a genomic estimated breeding value in a validation set as<disp-formula id="e2">
<mml:math id="m6">
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">y</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">Z</mml:mi>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>In strategy 2, phenotype predictions were made first by fitting the model 1 to the training set like strategy 1, but in a validation set phenotype was predicted including all estimates of fixed effects as below:<disp-formula id="e3">
<mml:math id="m7">
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">y</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">Z</mml:mi>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">y</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">w</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mi mathvariant="bold-italic">h</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn mathvariant="bold">3</mml:mn>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn mathvariant="bold">4</mml:mn>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">h</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">o</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where for example <inline-formula id="inf5">
<mml:math id="m8">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">y</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> is the number of days aged for the sample in the validation set multiplied by the estimate of the effect of <bold>
<italic>days_aged</italic>
</bold> from model 1.</p>
<p>In strategy 3, exactly the same model as strategy 1 and 2 (Model 1) were used for the training set, however for a validation set, the phenotype was predicted only from genetic effects and fixed effects that were derived from genotypes (i.e., those effects that would be available before the animal entered the processing plant, in the feedlot for example) as below:<disp-formula id="e4">
<mml:math id="m9">
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">y</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">Z</mml:mi>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn mathvariant="bold">3</mml:mn>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn mathvariant="bold">4</mml:mn>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="bold-italic">h</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">o</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
</mml:mrow>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>Finally, in strategy 4, model 5 was implemented in training set as below:<disp-formula id="e5">
<mml:math id="m10">
<mml:mrow>
<mml:mi mathvariant="bold-italic">y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">&#xb5;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">y</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mo>_</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mo>_</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold-italic">w</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mi mathvariant="bold-italic">h</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">Z</mml:mi>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where <bold>y</bold>, <bold>cg</bold>, <bold>
<italic>days_aged</italic>
</bold>, <bold>
<italic>carcass_weight</italic>
</bold>, <bold>Z</bold>, <bold>g</bold>, and <bold>e</bold> are the same as Model 1.</p>
<p>The assumption here is that all genetic effects, including breed effects, are captured by the SNP effects when PCs are not explicitly fitted. Next, phenotype was predicted with a genomic estimated breeding value in a validation set using Model 2.</p>
<p>To evaluate accuracies of phenotype prediction from the 4 strategies, five-fold cross-validation was used, with random grouping of animals such that all groups have approximately equal size. In each rotation of the cross validation the phenotypes of 1 group were masked and the remaining 4 groups were used to estimate the GEBV of the group without phenotypes. The accuracy of phenotype prediction for each group was calculated as the Pearson correlation between predictions and raw phenotypes of animals for which their phenotypes were masked. Correlations were averaged across 5 groups and standard error (SE) was calculated as the standard deviation divided by the square root of the number of groups i.e., <inline-formula id="inf6">
<mml:math id="m11">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
<mml:msqrt>
<mml:mn>5</mml:mn>
</mml:msqrt>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>For each cross-validation fold, the BayesR model simultaneously provides estimates for the SNP effects (<inline-formula id="inf7">
<mml:math id="m12">
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:math>
</inline-formula>, the genetic <inline-formula id="inf8">
<mml:math id="m13">
<mml:mrow>
<mml:mover accent="true">
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>g</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> and residual variances <inline-formula id="inf9">
<mml:math id="m14">
<mml:mrow>
<mml:mover accent="true">
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> and the SNP-basedt heritability <inline-formula id="inf10">
<mml:math id="m15">
<mml:mrow>
<mml:msup>
<mml:mi>h</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mover accent="true">
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>g</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mrow>
<mml:mover accent="true">
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>g</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mover accent="true">
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>. These estimates were mean of the posterior distribution for each parameter. The posterior distributions were sampled using Markov Chain Monte Carlo (MCMC) with Gibbs Sampling in GCTB (<xref ref-type="bibr" rid="B18">Zeng et al., 2018</xref>) with 25,000 iterations of which the first 5,000 are discarded as burn-in and thinned by 10 (2,000 MCMC samples).</p>
<p>We also investigated the posterior probability of inclusion of each SNP in strategy 1, to identify any genes of moderate effect on eating quality. Note that the posterior probabilities of inclusion of SNP from the other strategies were very similar to that in strategy 1 (<xref ref-type="sec" rid="s10">Supplementary File S1</xref>).</p>
<p>We also identified the nearest genes within a window of 1&#xa0;Mb upstream or down stream of top 20 SNPs with highest posterior probability of inclusion for all five eating quality traits. We then performed Gene Ontology analysis on the list of genes associated with eating quality traits using the DAVID web server (<xref ref-type="bibr" rid="B5">Huang et al., 2009</xref>) and considering the entire <italic>Bos taurus</italic> gene set as a reference data set.</p>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<p>Heritabilities of the eating quality traits from Model 1 ranged from moderate (0.37) to low (0.23), <xref ref-type="table" rid="T1">Table 1</xref>. The highest and lowest heritability was observed for TENDER and JUICY, respectively.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Means (&#xb1;standard deviations), heritability (&#xb1;SE), and accuracy of predicting phenotype (&#xb1;SE) of phenotype prediction for 5 eating quality traits [tenderness (TENDER), juiciness (JUICY), flavour (FLAVOR), overall liking (OVERALL), and MQ4 score formed by weighting the four sensory scores]. See methods for description of strategies. The significant difference of strategies was shown in different letters (a, b, c).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Trait</th>
<th rowspan="2" align="center">Means</th>
<th rowspan="2" align="center">h<sup>2</sup>
</th>
<th colspan="4" align="center">Accuracy</th>
</tr>
<tr>
<th align="center">Strategy 1</th>
<th align="center">Strategy 2</th>
<th align="center">Strategy 3</th>
<th align="center">Strategy 4</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">TENDER</td>
<td align="center">56.84 &#xb1; 16.99</td>
<td align="center">0.37 &#xb1; 0.05</td>
<td align="center">0.20 &#xb1; 0.02<sup>a</sup>
</td>
<td align="center">0.40 &#xb1; 0.03<sup>b</sup>
</td>
<td align="center">0.49 &#xb1; 0.02<sup>c</sup>
</td>
<td align="center">0.50 &#xb1; 0.02<sup>c</sup>
</td>
</tr>
<tr>
<td align="center">JUICY</td>
<td align="center">57.53 &#xb1; 14.47</td>
<td align="center">0.23 &#xb1; 0.05</td>
<td align="center">0.08 &#xb1; 0.02<sup>a</sup>
</td>
<td align="center">0.30 &#xb1; 0.01<sup>b</sup>
</td>
<td align="center">0.41 &#xb1; 0.02<sup>c</sup>
</td>
<td align="center">0.43 &#xb1; 0.01<sup>c</sup>
</td>
</tr>
<tr>
<td align="center">FLAVOR</td>
<td align="center">58.83 &#xb1; 12.52</td>
<td align="center">0.30 &#xb1; 0.04</td>
<td align="center">0.16 &#xb1; 0.02<sup>a</sup>
</td>
<td align="center">0.34 &#xb1; 0.02<sup>b</sup>
</td>
<td align="center">0.42 &#xb1; 0.02<sup>c</sup>
</td>
<td align="center">0.43 &#xb1; 0.02<sup>c</sup>
</td>
</tr>
<tr>
<td align="center">OVERALL</td>
<td align="center">57.94 &#xb1; 14.52</td>
<td align="center">0.30 &#xb1; 0.04</td>
<td align="center">0.16 &#xb1; 0.03<sup>a</sup>
</td>
<td align="center">0.35 &#xb1; 0.02<sup>b</sup>
</td>
<td align="center">0.45 &#xb1; 0.02<sup>c</sup>
</td>
<td align="center">0.47 &#xb1; 0.01<sup>c</sup>
</td>
</tr>
<tr>
<td align="center">MQ4</td>
<td align="center">47.46 &#xb1; 14.10</td>
<td align="center">0.32 &#xb1; 0.04</td>
<td align="center">0.21 &#xb1; 0.02<sup>a</sup>
</td>
<td align="center">0.37 &#xb1; 0.02<sup>b</sup>
</td>
<td align="center">0.47 &#xb1; 0.02<sup>c</sup>
</td>
<td align="center">0.49 &#xb1; 0.01<sup>c</sup>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The predictions of eating quality phenotype based on GEBV alone (Strategy 1) was modest, <xref ref-type="table" rid="T1">Table 1</xref>. When breed effects and heterosis were not explicitly fitted in the model in the training set, that is they were included in the SNP effects, accuracy of phenotype predictions was much higher (Strategy 4). Interestingly, adding the estimated effect of carcass weight and days aged did not improve the accuracy of phenotype prediction (Strategy 2). The accuracy of phenotype prediction when Strategy 3 was implemented (only including fixed effects that could be derived from genotypes) were slightly worse than implementing Strategy 4 for all traits.</p>
<p>We conducted a follow-up study of potential genes affecting eating quality in cattle. We used the nearest genes within a window of 1&#xa0;Mb upstream or down stream of top 20 SNPs with highest posterior probability of inclusion for all five eating quality traits. The most strongly enriched pathway identified by Gene Ontology analysis of genes associated with eating quality was &#x201c;dopamine metabolic process&#x201d; (<italic>p-value</italic> &#x3c; 8.7 &#xd7; 10<sup>&#x2212;5</sup>).</p>
<p>Of note is that we have also discovered novel genes associated with the traits of interested by running the BayesR model. <xref ref-type="fig" rid="F1">Figure 1</xref> shows the Manhattan plot of probability a SNP is included in the BayesR prediction model for all traits. Interestingly, for TENDER and MQ4, SNPs in and close to the <italic>&#x3bc;-calpain</italic> (<italic>CAPN1</italic>) and <italic>Calpastatin</italic> (<italic>CAST</italic>) genes had the highest probability of inclusion in the model, (<xref ref-type="fig" rid="F1">Figures 1A, E</xref>). For JUICY and FALVOR the monooxygenase DBH like 1 (<italic>MOXD1</italic>) had the highest probability of inclusion. However, the same SNP close to the <italic>MOXD1</italic> were also included in the prediction model for OVERALL and MQ4 (<xref ref-type="fig" rid="F1">Figures 1D, E</xref>). For OVERALL, SNPs associated with <italic>CAST (Calpastatin), CAPN1</italic>, Kinesin Family 13A (<italic>KIF13A</italic>) and Apolipoprotein B (<italic>APOB</italic>) genes were also included in the prediction model (<xref ref-type="fig" rid="F1">Figure 1D</xref>). The same SNPs close to <italic>KIF13A</italic> and <italic>APOB</italic> had the highest posterior probability of inclusion for FLAVOR as well (<xref ref-type="fig" rid="F1">Figure 1C</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Posterior probability of inclusion in the BayesR prediction model for 7,09,698 SNP for TENDER <bold>(A)</bold>, Juicy <bold>(B)</bold>, Flavour <bold>(C)</bold>, OVERALL <bold>(D)</bold>, and MQ4 <bold>(E)</bold> traits. Odd chromosomes are colored in red, even chromosomes are colored in blue.</p>
</caption>
<graphic xlink:href="fgene-14-1089490-g001.tif"/>
</fig>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>Generally, levels of heritability in this study (0.23&#x2013;0.37; <xref ref-type="table" rid="T1">Table1</xref>) were in agreement with previous studies (Kause et al., 2015; <xref ref-type="bibr" rid="B16">Wolcott et al., 2009</xref>), showing the possibility of improvement of these traits by conducting selection. For example, Kause et al. (2015) reported the moderate heritability for carcass weight (0.39&#x2013;0.48) in five beef cattle breeds in Finland (Hereford, Aberdeen Angus, Simmental, Charolais and Limousin).</p>
<p>Phenotype predictions, which predict the eating quality of beef from an individual animal, may benefit industry by sorting carcasses into consumer or market value categories. Phenotype can be predicted by including the genetic effects such as breed, heterosis and breeding value effects, as well as fixed effects such as days aged and carcass weight, hump height and ossification and hormone growth promotant (HGP) status. Interestingly, adding the estimated effect of carcass weight and days aged did not improve the accuracy of phenotype prediction (Strategy 2), likely because these effects were relatively poorly estimated in our study due to the large number of cg groups and confounding of these effects with the cg group effect (<xref ref-type="fig" rid="F2">Figures 2A, B</xref>). Explicitly fitting breed effects (as PCs) and heterosis as covariates and using these estimates in the prediction (Strategy 3), performed slightly worse than not explicitly fitting these effects, and allowing these effects to be captured in the SNP effects (Strategy 4) perhaps because breed effects when explicitly fitted were estimated with more error than when incorporated into the (random) SNP effects.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Scatter plot of contemporary group (cg) and days aged <bold>(A)</bold> and carcass weight <bold>(B)</bold> in 1701 striploin samples.</p>
</caption>
<graphic xlink:href="fgene-14-1089490-g002.tif"/>
</fig>
<p>For TENDER, the <italic>CAST</italic> and <italic>CAPN1</italic> genes had the highest probability of inclusion in the model (<xref ref-type="fig" rid="F1">Figures 1A&#x2013;E</xref>), that is SNP associated with both these genes were used in the prediction model. Considerable evidence has demonstrated that the <italic>CAPN1</italic> gene and its inhibitor <italic>CAST</italic> gene are major factors affecting meat quality (<italic>e.g</italic>., (<xref ref-type="bibr" rid="B13">Sun et al., 2018</xref>)). These results shed some light on why our phenotype predictions including breed effects (e.g., Strategies 2,3,4) are so much more accurate than predictions based on GEBV alone - part of the prediction accuracy is derived from predicting the <italic>CAST</italic> effect, which is at quite different frequencies in <italic>Bos indicus</italic> and <italic>Bos taurus</italic> cattle (<xref ref-type="bibr" rid="B11">Page et al., 2002</xref>; <xref ref-type="bibr" rid="B3">Casas et al., 2006</xref>), and therefore partially captured by PC1. In addition to the <italic>CAST</italic> effect. <italic>Bos indicus</italic> cattle have been widely reported to have less tender meat, and hump height is currently used as proxy for <italic>Bos indicus</italic> content when predicting Meat Standards Australia grade (<xref ref-type="bibr" rid="B15">Watson et al., 2008</xref>). It is important to point out that our eating quality predictions are relevant for mixed cohorts including <italic>Bos indicus</italic> and <italic>Bos taurus</italic> cattle and their crosses. If predictions were made for single breed cohorts (with no variation in <italic>Bos indicus</italic> content), the predictive information from PC1 would be irrelevant, and the prediction accuracy would default to that from the GEBV alone (e.g., Strategy 1).</p>
<p>The results implicate some interesting candidate genes for eating quality. Kinesin Family 13A (<italic>KIF13A</italic>) is in a pathway associated with skeletal muscle cells increasing insulin signalling, glucose uptake, and maximal oxygen consumption (<xref ref-type="bibr" rid="B8">Massart et al., 2021</xref>). Apolipoprotein B (<italic>APOB</italic>) is a building block of a type of lipoprotein called a chylomicron. As food is digested, chylomicrons form to carry fat and cholesterol from the intestine into the bloodstream.</p>
<p>In conclusion, the accuracy of phenotype prediction for beef eating quality traits was sufficiently high that such predictions could be useful in predicting eating quality from samples taken from an animal/carcass as it enters the processing plant, to sort for markets with different quality. The BayesR predictions identified several novel genes potentially associated with beef eating quality. Future predictions will be expanded to incorporate all the parameters in the Meat Standards Australia (MSA) models (<xref ref-type="bibr" rid="B15">Watson et al., 2008</xref>) as well as genotype information.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s10">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6">
<title>Ethics statement</title>
<p>The animal study was reviewed and approved by University of New England.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>MF and BH carried out the analysis. MF, BH, HA, SC, and AL designed the model and the computational framework. PM, SC, and BH supervised the project. RP designed the experiment.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<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 sec-type="disclaimer" id="s9">
<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="s10">
<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/fgene.2023.1089490/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fgene.2023.1089490/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.XLSX" id="SM1" mimetype="application/XLSX" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<sec id="s11">
<title>Abbreviations</title>
<p>HGP, hormone growth promotant; SNP, single nucleotide polymorphism; GEBV, genomic estimated breeding value; TENDER, tenderness; JUICY, juiciness; FLAVOR, flavour; OVERALL, overall liking; PC, principal component; SE, standard error; SD, standard deviation; MCMC, Markov Chain Monte Carlo; MSA, Meat Standards Australia.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Alsahaf</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Azzopardi</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Ducro</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Hanenberg</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Veerkamp</surname>
<given-names>R. F.</given-names>
</name>
<name>
<surname>Petkov</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Prediction of slaughter age in pigs and assessment of the predictive value of phenotypic and genetic information using random forest</article-title>. <source>J. Anim. Sci.</source> <volume>96</volume> (<issue>12</issue>), <fpage>4935</fpage>&#x2013;<lpage>4943</lpage>. <pub-id pub-id-type="doi">10.1093/jas/sky359</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bedhane</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>van der Werf</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Gondro</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Duijvesteijn</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Lim</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Park</surname>
<given-names>B.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Genome-wide association study of meat quality traits in Hanwoo beef cattle using imputed whole-genome sequence data</article-title>. <source>Front. Genet.</source> <volume>10</volume>, <fpage>1235</fpage>. <pub-id pub-id-type="doi">10.3389/fgene.2019.01235</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Casas</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>White</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Wheeler</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Shackelford</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Koohmaraie</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Riley</surname>
<given-names>D.</given-names>
</name>
<etal/>
</person-group> (<year>2006</year>). <article-title>Effects of calpastatin and micro-calpain markers in beef cattle on tenderness traits</article-title>. <source>J. Anim. Sci.</source> <volume>84</volume> (<issue>3</issue>), <fpage>520</fpage>&#x2013;<lpage>525</lpage>. <pub-id pub-id-type="doi">10.2527/2006.843520x</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Erbe</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hayes</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Matukumalli</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Goswami</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Bowman</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Reich</surname>
<given-names>C.</given-names>
</name>
<etal/>
</person-group> (<year>2012</year>). <article-title>Improving accuracy of genomic predictions within and between dairy cattle breeds with imputed high-density single nucleotide polymorphism panels</article-title>. <source>J. Dairy Sci.</source> <volume>95</volume> (<issue>7</issue>), <fpage>4114</fpage>&#x2013;<lpage>4129</lpage>. <pub-id pub-id-type="doi">10.3168/jds.2011-5019</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Huang</surname>
<given-names>D. W.</given-names>
</name>
<name>
<surname>Sherman</surname>
<given-names>B. T.</given-names>
</name>
<name>
<surname>Lempicki</surname>
<given-names>R. A.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Systematic and integrative analysis of large gene lists using DAVID bioinformatics resources</article-title>. <source>Nat. Protoc.</source> <volume>4</volume>, <fpage>44</fpage>&#x2013;<lpage>57</lpage>. <pub-id pub-id-type="doi">10.1038/nprot.2008.211</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="confproc">
<person-group person-group-type="author">
<name>
<surname>Lynn</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>McGilchrist</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Aliloo</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>van der Werf</surname>
<given-names>J. H. J.</given-names>
</name>
<name>
<surname>Polkinghorne</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Clark</surname>
<given-names>S. A.</given-names>
</name>
</person-group> (<year>2022</year>). &#x201c;<article-title>Genomic regions in Australian cattle associated with consumer satisfaction of beef</article-title>,&#x201d; in <conf-name>Proc World Congr. Genet. Appl. Livest</conf-name>. <comment>Available at: <ext-link ext-link-type="uri" xlink:href="https://www.wageningenacademic.com/pb-assets/wagen/WCGALP2022/40_010.pdf">https://www.wageningenacademic.com/pb-assets/wagen/WCGALP2022/40_010.pdf</ext-link>
</comment>.</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Magalh&#xe3;es</surname>
<given-names>A. F. B.</given-names>
</name>
<name>
<surname>Schenkel</surname>
<given-names>F. S.</given-names>
</name>
<name>
<surname>Garcia</surname>
<given-names>D. A.</given-names>
</name>
<name>
<surname>Gordo</surname>
<given-names>D. G. M.</given-names>
</name>
<name>
<surname>Tonussi</surname>
<given-names>R. L.</given-names>
</name>
<name>
<surname>Espigolan</surname>
<given-names>R.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Genomic selection for meat quality traits in Nelore cattle</article-title>. <source>Meat Sci.</source> <volume>148</volume>, <fpage>32</fpage>&#x2013;<lpage>37</lpage>. <pub-id pub-id-type="doi">10.1016/j.meatsci.2018.09.010</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Massart</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Sj&#xf6;gren</surname>
<given-names>R. J.</given-names>
</name>
<name>
<surname>Egan</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Garde</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Lindgren</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Gu</surname>
<given-names>W.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Endurance exercise training-responsive miR-19b-3p improves skeletal muscle glucose metabolism</article-title>. <source>Nat. Commun.</source> <volume>12</volume> (<issue>1</issue>), <fpage>5948</fpage>. <pub-id pub-id-type="doi">10.1038/s41467-021-26095-0</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Meuwissen</surname>
<given-names>T. H.</given-names>
</name>
<name>
<surname>Hayes</surname>
<given-names>B. J.</given-names>
</name>
<name>
<surname>Goddard</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>Prediction of total genetic value using genome-wide dense marker maps</article-title>. <source>Genetics</source> <volume>157</volume> (<issue>4</issue>), <fpage>1819</fpage>&#x2013;<lpage>1829</lpage>. <pub-id pub-id-type="doi">10.1093/genetics/157.4.1819</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Moser</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>S. H.</given-names>
</name>
<name>
<surname>Hayes</surname>
<given-names>B. J.</given-names>
</name>
<name>
<surname>Goddard</surname>
<given-names>M. E.</given-names>
</name>
<name>
<surname>Wray</surname>
<given-names>N. R.</given-names>
</name>
<name>
<surname>Visscher</surname>
<given-names>P. M.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Simultaneous discovery, estimation and prediction analysis of complex traits using a Bayesian mixture model</article-title>. <source>PLoS Genet.e1004969</source> <volume>11</volume> (<issue>4</issue>). <pub-id pub-id-type="doi">10.1371/journal.pgen.1004969</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Page</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Casas</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Heaton</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Cullen</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Hyndman</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Morris</surname>
<given-names>C.</given-names>
</name>
<etal/>
</person-group> (<year>2002</year>). <article-title>Evaluation of single-nucleotide polymorphisms in CAPN1 for association with meat tenderness in cattle</article-title>. <source>J. Anim. Sci.</source> <volume>80</volume> (<issue>12</issue>), <fpage>3077</fpage>&#x2013;<lpage>3085</lpage>. <pub-id pub-id-type="doi">10.2527/2002.80123077x</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pimentel</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>K&#xf6;nig</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Genomic selection for the improvement of meat quality in beef</article-title>. <source>J. Anim. Sci.</source> <volume>90</volume> (<issue>10</issue>), <fpage>3418</fpage>&#x2013;<lpage>3426</lpage>. <pub-id pub-id-type="doi">10.2527/jas.2011-5005</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sun</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Fan</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Mao</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ji</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>B.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Effects of polymorphisms in CAPN1 and CAST genes on meat tenderness of Chinese Simmental cattle</article-title>. <source>Arch. Anim. Breed.</source> <volume>61</volume>, <fpage>433</fpage>&#x2013;<lpage>439</lpage>. <pub-id pub-id-type="doi">10.5194/aab-61-433-2018</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>VanRaden</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Null</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Sargolzaei</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Wiggans</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Tooker</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Cole</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2013</year>). <article-title>Genomic imputation and evaluation using high-density Holstein genotypes</article-title>. <source>J. Dairy Sci.</source> <volume>96</volume> (<issue>1</issue>), <fpage>668</fpage>&#x2013;<lpage>678</lpage>. <pub-id pub-id-type="doi">10.3168/jds.2012-5702</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Watson</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Polkinghorne</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Thompson</surname>
<given-names>J. M.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Development of the Meat Standards Australia (MSA) prediction model for beef palatability</article-title>. <source>Aust. J. Exp. Agric.</source> <volume>48</volume> (<issue>11</issue>), <fpage>1368</fpage>&#x2013;<lpage>1379</lpage>. <pub-id pub-id-type="doi">10.1071/EA07184</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wolcott</surname>
<given-names>M. L.</given-names>
</name>
<name>
<surname>Johnston</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Barwick</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Iker</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Thompson</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Burrow</surname>
<given-names>H. M.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Genetics of meat quality and carcass traits and the impact of tenderstretching in two tropical beef genotypes</article-title>. <source>Animal Prod. Sci.</source> <volume>49</volume>, <fpage>383</fpage>&#x2013;<lpage>398</lpage>. <pub-id pub-id-type="doi">10.1071/ea08275</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Manolio</surname>
<given-names>T. A.</given-names>
</name>
<name>
<surname>Pasquale</surname>
<given-names>L. R.</given-names>
</name>
<name>
<surname>Boerwinkle</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Caporaso</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Cunningham</surname>
<given-names>J. M.</given-names>
</name>
<etal/>
</person-group> (<year>2011</year>). <article-title>Genome partitioning of genetic variation for complex traits using common SNPs</article-title>. <source>Nat. Genet.</source> <volume>43</volume> (<issue>6</issue>), <fpage>519</fpage>&#x2013;<lpage>525</lpage>. <pub-id pub-id-type="doi">10.1038/ng.823</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zeng</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>De Vlaming</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Robinson</surname>
<given-names>M. R.</given-names>
</name>
<name>
<surname>Lloyd-Jones</surname>
<given-names>L. R.</given-names>
</name>
<name>
<surname>Yengo</surname>
<given-names>L.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Signatures of negative selection in the genetic architecture of human complex traits</article-title>. <source>Nat. Genet.</source> <volume>50</volume> (<issue>5</issue>), <fpage>746</fpage>&#x2013;<lpage>753</lpage>. <pub-id pub-id-type="doi">10.1038/s41588-018-0101-4</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>