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<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">746665</article-id>
<article-id pub-id-type="doi">10.3389/fgene.2021.746665</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>Genome Wide Association Study of Beef Traits in Local Alpine Breed Reveals the Diversity of the Pathways Involved and the Role of Time Stratification</article-title>
<alt-title alt-title-type="left-running-head">Mancin et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Genomic Association on Rendena Breed</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Mancin</surname>
<given-names>Enrico</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1171879/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Tuliozi</surname>
<given-names>Beniamino</given-names>
</name>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1374089/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Pegolo</surname>
<given-names>Sara</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1064119/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sartori</surname>
<given-names>Cristina</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/563258/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Mantovani</surname>
<given-names>Roberto</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/412625/overview"/>
</contrib>
</contrib-group>
<aff>
<institution>Department of Agronomy, Food, Natural Resources, Animals and Environment, University of Padua</institution>, <addr-line>Legnaro</addr-line>, <country>Italy</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/223692/overview">Olivier Hubert Hanotte</ext-link>, University of Nottingham, United&#x20;Kingdom</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/1116617/overview">Monica Correa Ledur</ext-link>, Embrapa Su&#xed;nos e Aves, Brazil</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/212867/overview">Lingyang Xu</ext-link>, Institute of Animal Sciences (CAAS), China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Enrico Mancin, <email>enrico.mancin@phd.unipd.it</email>
</corresp>
<fn fn-type="equal" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors have contributed equally to this work and share first authorship</p>
</fn>
<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>04</day>
<month>01</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>12</volume>
<elocation-id>746665</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>07</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>02</day>
<month>12</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Mancin, Tuliozi, Pegolo, Sartori and Mantovani.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Mancin, Tuliozi, Pegolo, Sartori and Mantovani</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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>Knowledge of the genetic architecture of key growth and beef traits in livestock species has greatly improved worldwide thanks to genome-wide association studies (GWAS), which allow to link target phenotypes to Single Nucleotide Polymorphisms (SNPs) across the genome. Local dual-purpose breeds have rarely been the focus of such studies; recently, however, their value as a possible alternative to intensively farmed breeds has become clear, especially for their greater adaptability to environmental change and potential for survival in less productive areas. We performed single-step GWAS and post-GWAS analysis for body weight (BW), average daily gain (ADG), carcass fleshiness (CF) and dressing percentage (DP) in 1,690 individuals of local alpine cattle breed, Rendena. This breed is typical of alpine pastures, with a marked dual-purpose attitude and good genetic diversity. Moreover, we considered two of the target phenotypes (BW and ADG) at different times in the individuals&#x2019; life, a potentially important aspect in the study of the traits&#x2019; genetic architecture. We identified 8 significant and 47 suggestively associated SNPs, located in 14 autosomal chromosomes (BTA). Among the strongest signals, 3 significant and 16 suggestive SNPs were associated with ADG and were located on BTA10 (50&#x2013;60&#xa0;Mb), while the hotspot associated with CF and DP was on BTA18 (55&#x2013;62&#xa0;MB). Among the significant SNPs some were mapped within genes, such as <italic>SLC12A1</italic>, <italic>CGNL1</italic>, <italic>PRTG</italic> (ADG), <italic>LOC513941</italic> (CF), <italic>NLRP2</italic> (CF and DP), <italic>CDC155</italic> (DP). Pathway analysis showed great diversity in the biological pathways linked to the different traits; several were associated with neurogenesis and synaptic transmission, but actin-related and transmembrane transport pathways were also represented. Time-stratification highlighted how the genetic architectures of the same traits were markedly different between different ages. The results from our GWAS of beef traits in Rendena led to the detection of a variety of genes both well-known and novel. We argue that our results show that expanding genomic research to local breeds can reveal hitherto undetected genetic architectures in livestock worldwide. This could greatly help efforts to map genomic complexity of the traits of interest and to make appropriate breeding decisions.</p>
</abstract>
<kwd-group>
<kwd>genome-wide association</kwd>
<kwd>alpine breeds</kwd>
<kwd>single step genome-wide association study</kwd>
<kwd>local cattle breed</kwd>
<kwd>beef traits</kwd>
<kwd>time stratification</kwd>
<kwd>livestock conservation</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Genome-wide association is a powerful analysis that allows to identify genomic regions associated with phenotype variations in a target population to understand better the genetic architecture of the phenotype (<xref ref-type="bibr" rid="B7">Begum et&#x20;al., 2012</xref>); such analysis has proved to be invaluable in the study of the genetic architecture of livestock species traits, especially cattle (<xref ref-type="bibr" rid="B84">Schmid and Bennewitz, 2017</xref>). Most of the target traits in livestock are polygenic phenotypes (<xref ref-type="bibr" rid="B68">de Oliveira Silva et&#x20;al., 2017</xref>), which are suitable for investigation with robust GWAS. However, the GWAS is only the start of the investigation of the target traits genetic architecture (<xref ref-type="bibr" rid="B6">Atwell et&#x20;al., 2010</xref>). Weaker signals that would be missed by GWAS analysis can be identified and described via pathways enrichment analysis, under the assumption that these signals are related to genes involved in complex pathways and biological processes (<xref ref-type="bibr" rid="B11">Buitenhuis et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B74">Pegolo et&#x20;al., 2020</xref>). In beef cattle, traits such as growth or carcass conformation are critical to the profitability of meat production since greater growth means a shorter fattening period, and more conformed animals have higher economic value (<xref ref-type="bibr" rid="B80">Samor&#xe8; et&#x20;al., 2016</xref>). GWAS analysis in different species highlighted the strongly polygenic nature of these traits (<xref ref-type="bibr" rid="B66">Mateescu et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B41">Huang et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B25">Falker-Gieske et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B30">Gershoni et&#x20;al., 2021</xref>).</p>
<p>In recent years, many studies have proposed more advanced approaches to investigate these phenotypes, such as the inclusion of whole genome sequences (<xref ref-type="bibr" rid="B64">Mao et&#x20;al., 2016</xref>) or the analysis of growth traits in a longitudinal perspective (<xref ref-type="bibr" rid="B101">Yin and K&#xf6;nig, 2019</xref>). This latter approach has been scarcely used in beef cattle breeding (<xref ref-type="bibr" rid="B101">Yin and K&#xf6;nig, 2019</xref>; <xref ref-type="bibr" rid="B30">Gershoni et&#x20;al., 2021</xref>), but there are dramatic differences in the functional elements involved in determining morphological traits at different ages (<xref ref-type="bibr" rid="B37">Helgeland et&#x20;al., 2019</xref>): these differences could be investigated by separate analyses of the same trait collected at various ages. Investigations on beef traits (<xref ref-type="bibr" rid="B71">Mudadu et&#x20;al., 2016</xref>) have been extensively performed in cattle, but most studies have regarded few cosmopolitan, specialized breeds. Dual-purpose breeds, which consist of local populations apart from a few exceptions (such as Simmental cattle), have rarely been the target of GWAS. Local breeds are genetically more diverse than the cosmopolitan ones and have generally better health parameters and fitness due to a much-reduced specialization (<xref ref-type="bibr" rid="B10">Biscarini et&#x20;al., 2015</xref>). Also, the negative genetic correlations occurring between dairy and beef traits make the genetic improvement of both aptitudes in dual-purpose populations far from its optimum (<xref ref-type="bibr" rid="B28">Frigo et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B67">Mazza et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B81">Sartori et&#x20;al., 2018</xref>). Moreover, such breeds often present unique characteristics that allow them to adapt to harsher conditions (<xref ref-type="bibr" rid="B50">Krupov&#xe1; et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B89">Sutera et&#x20;al., 2021</xref>) and better respond to environmental shifts or challenges (<xref ref-type="bibr" rid="B10">Biscarini et&#x20;al., 2015</xref>). Thus, these dual-purpose local breeds represent an unexploited source of diversity for the animal breeding sector and a rare opportunity to conduct GWAS on key economic traits that have not been under excessive specialization.</p>
<p>Rendena is an autochthonous breed from Alpine regions of North-East of Italy with a dual-purpose aptitude for meat and milk still maintained through the current selection scheme, assigning 65% of the economic weight to milk and 35% to meat (<xref ref-type="bibr" rid="B34">Guzzo et&#x20;al., 2019</xref>; for further details on the selection scheme see <xref ref-type="bibr" rid="B63">Mantovani et&#x20;al., 1997</xref>; and <xref ref-type="sec" rid="s11">Supplementary Figure&#x20;S1</xref>).</p>
<p>The dual-purpose aptitude also allows to counteract inbreeding erosion and maintain good genetic variability despite the small population size (the current number of animals is around 7,000 of which 4,000 are cows). Rendena also presents good fertility and longevity parameters and excellent adaptability to local environments, ranging from plains to Alpine pastures (<xref ref-type="bibr" rid="B73">Ovaska and Soini, 2017</xref>; <xref ref-type="bibr" rid="B35">Guzzo et&#x20;al., 2018</xref>). As in various other local breeds, genomic information of Rendena has started to be available just recently, after implementing a routine activity of genotyping. This information might allow identifying and describing genes and functional pathways involved in the genomic architecture of traits of economic or functional interest (<xref ref-type="bibr" rid="B86">Senczuk et&#x20;al., 2020</xref>). Moreover, as genomic selection has just been implemented in Rendena (<xref ref-type="bibr" rid="B62">Mancin et&#x20;al., 2021a</xref>), investigating these traits could also be helpful to increase the prediction accuracy (see <xref ref-type="bibr" rid="B91">Tiezzi and Maltecca, 2015</xref>).</p>
<p>In this study, we performed a single-step GWAS and pathway analysis in Rendena cattle to investigate the genetic architecture of growth and carcass conformation traits, i.e.,&#x20;body weight, average daily gain, <italic>in vivo</italic> dressing percentage, and <italic>in vivo</italic> fleshiness (SEUROP grade). Additionally, body weight and average daily gain were analyzed using records taken at different ages, to study possible temporal variation in the genetic architecture of growth at the early stages.</p>
</sec>
<sec id="s2">
<title>2 Materials and Methods</title>
<sec id="s2-1">
<title>2.1 Animals and Phenotypes</title>
<p>All phenotypic records were collected at the performance test (PT) station of the National Breeders Association of Rendena cattle&#x2014;ANARE, Trento Italy (<ext-link ext-link-type="uri" xlink:href="http://www.ANARE.it">www.ANARE.it</ext-link>). All phenotypes belonged to young (on average of 1&#xa0;month of age) candidate bulls. About 60 young bulls are tested every year at the PT station for a total period of 11&#xa0;months, following the criteria reported in <xref ref-type="bibr" rid="B63">Mantovani et&#x20;al. (1997)</xref>. Records have been collected since 1985, when PT started, until present times. The phenotypes collected during the PT are body weight (BW), average daily gain (ADG), carcass fleshiness (CF) and dressing percentage (DP). Both CF and DP are evaluated <italic>in vivo</italic> by 3 skilled operators at the end of the PT period and averaged to obtain the final score. The CF evaluation applies the same scores of post-mortem carcass appraisal established by the European Union Council (SEUROP), where the middle class (R) is equal to 100 points and other classes (upper or lower classes) correspond to 10-points-variations. Furthermore, the evaluation also considers sub-classes (e.g., R&#x2b; and R-for the middle class) that are spaced 3.33 points from the class score. DP is a visual prediction of the post-mortem measure of DP: the operator makes a visual appraisal of the individual at the end of the performance test, offering an estimate of the expected DP&#x2014;i.e.,&#x20;conformation&#x2014;at slaughter (<xref ref-type="bibr" rid="B63">Mantovani et&#x20;al., 1997</xref>). Average daily gain (ADG) is calculated as the linear regression of weight (BW) on age. For this study, ADG and BW were collected at different stages of PT. ADG has been divided into ADG_i and ADG_f: ADG_i covers the daily gain of the first half of the testing period (since entering the PT station until the 6th month), while ADG_f covers the daily gain of the second half (from the 6th month to the end of the period). ADG covering the entire PT test was labeled as ADG_tot. BW was split along the same timeline as ADG: body weight at the entrance to the station (BW_i), at 6&#xa0;months (BW_m) and at the end of PT (BW_f). Data cleaning consisted of removing animals with a regression of weight on age showing a coefficient of determination below 0.9 (for further details, see <xref ref-type="bibr" rid="B34">Guzzo et&#x20;al., 2019</xref>).</p>
</sec>
<sec id="s2-2">
<title>2.2 Genomic Data and Quality Control</title>
<p>The biological material of the animals chosen for the genotyping resulted from salivary swab, hair (at least 30 bulbs), or ear tissue from biopsy brand, collected by ANARE on females and young candidate bulls at PT, as well as from semen of proven bulls, already subjected in the past to PT and progeny test for milk and to a large extent now eliminated. The Bovine 150K Array GGPv3 Bead Chip (HD, 138,974 SNPs), and Illumina Bovine LD GGPv3 (LD, 26,497 SNPs), were used for genotyping (Illumina, Illumina Inc., San Diego, CA, United&#x20;States). The overlapping between the two panels is about 60%. The HD platform was used for 554 young bulls, while 1,416 individuals (174 males and 1,242 females) were genotyped with LD chips. To achieve a reliable genomic imputation accuracy, the 174 males were animals with at least one parent and one half-sib genotyped with HD chips. The genotyped females were individuals with a kinship of at least 0.2 with phenotyped animals.</p>
<p>Before proceeding with imputation, we performed a preliminary quality control removing SNPs with a minor allele frequency (MAF) &#x3c; 0.01 and call rate lower than 0.90, using Plink program (<xref ref-type="bibr" rid="B76">Purcell et&#x20;al., 2007</xref>). Only the 29 autosomal chromosomes (BTA) were used for association, and progeny conflicts were fixed using the seekparentsf90 program (<xref ref-type="bibr" rid="B4">Aguilar et&#x20;al., 2018</xref>).</p>
<p>AlphaImpute2 was used for imputation (<xref ref-type="bibr" rid="B96">Whalen and Hickey, 2020</xref>), as it combines a population imputation algorithm (Positional Burrows Wheeler Transform) with pedigree-based imputation (iterative peeling); we used the same parameters as in <xref ref-type="bibr" rid="B62">Mancin et&#x20;al. (2021a)</xref>. The accuracy of the imputations was roughly estimated as a correlation between true and imputed SNPs. To this aim, ten rounds of cross-validation were performed: in each round the overlapping SNPs between the two panels were removed in ten animals and then imputed using the HD panel from young bulls as reference population (<xref ref-type="sec" rid="s11">Supplementary Table S1</xref>). Subsequently, the correlation between the true and the imputed genotypes was calculated on these animals.</p>
<p>After imputation, we performed a second genomic quality control with the preGSf90 program (<xref ref-type="bibr" rid="B4">Aguilar et&#x20;al., 2018</xref>): the SNPs with MAF lower than 0.05 and SNPs that deviated too much for the expected value of heterozygosis (i.e.,&#x20;Hardy-Weinberg Equilibrium) were removed. In accordance to <xref ref-type="bibr" rid="B98">Wiggans et&#x20;al. (2012)</xref> the threshold for was set to 0.15: SNPs were deleted if <inline-formula id="inf1">
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</inline-formula>. In addition, SNPs with a call-rate &#x3c; 0.90 and animals with a call rate &#x3c; 0.95 were excluded. The final genomic database contained 1,690 animals (698 with both genotypic and phenotypic information), and 113,279 SNPs. Genome-wide linkage disequilibrium (LD) within chromosome was also calculated, as the squared correlation of allele counts for two SNP. Principal Components Analysis (PCA) of <bold>G</bold> matrix and LD were also calculated with pregsGSf90.</p>
</sec>
<sec id="s2-3">
<title>2.1 Single Step Genome-wide Association Analyses</title>
<p>Single step genome-wide association (ssGWAS) models were used to estimate allele substitution effect. In ssGWAS, the estimation of allele substitution effects was obtained from a linear transformation of the BLUP of breeding value under ssGBLUP model (<xref ref-type="bibr" rid="B2">Aguilar et&#x20;al., 2019</xref>). <xref ref-type="bibr" rid="B60">Mancin et&#x20;al. (2021b)</xref> showed the advantages of this method in terms of QTL detection and control of populations structure over two-step methods in which de-regression of breeding value as pseudo phenotype is required. This issue is particularly evident in the presence of unbalanced data (i.e.,&#x20;sex-limited traits). In fact, the ssGWAS allows the use of both male and female genomes even when analyzing a phenotype collected only in individuals of one&#x20;sex.</p>
<p>The ssGBLUP model used in this analysis, written in matrix form, is the following:<disp-formula id="e1">
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<mml:mi>y</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>Where phenotypes are included in vector <bold>y</bold>, <bold>X</bold> is the incidence matrix of fixed effects (group of contemporaries, cow parity class and months of birth), <bold>b</bold> is the vector of these effects. The contemporary group has 147 levels, with each level consisting of bulls grouped together at the Performance Test because homogeneous by age (i.e.,&#x20;born within 1&#xa0;month of each other;&#x20;82.</p>
<p>Animals per group on average, minimum 5 and maximum 142). The parity order of cow has four classes (first parity; second parity; third to seventh parity; above the eighth parity), and the classes of months of birth correspond to the single months, as in <xref ref-type="bibr" rid="B34">Guzzo et&#x20;al. (2019)</xref>.</p>
<p>
<bold>Z</bold> represents the incident matrix that relates the random genetic additive effects to the phenotype, with effects represented by vector <inline-formula id="inf2">
<mml:math id="m3">
<mml:mi mathvariant="bold-italic">a</mml:mi>
</mml:math>
</inline-formula>. The vector of random residual error (<bold>e</bold>) has a normal distribution <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>I</mml:mi>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>
<bold>,</bold> where <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the residual variance. In the ssGBLUP vector of additive genetic effects is distributed as <inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>H</mml:mi>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, where <inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the additive genetic variance and <bold>H</bold> is the (co)variances structure which combines pedigree and genomic relationships (<xref ref-type="bibr" rid="B3">Aguilar et&#x20;al., 2010</xref>). Its inverse, used in <xref ref-type="disp-formula" rid="e1">Eq. 1</xref> is described as:<disp-formula id="e2">
<mml:math id="m8">
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="bold-italic">H</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mi mathvariant="bold-italic">A</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mrow>
<mml:mo>[</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:mi mathvariant="bold-italic">G</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">A</mml:mi>
<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>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <inline-formula id="inf7">
<mml:math id="m9">
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="bold-italic">A</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf8">
<mml:math id="m10">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">A</mml:mi>
<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> are the inverse of the pedigree kindship matrix respectively for all animals and for only genotyped animals. Since the frequencies of current genotyped population are used to center <bold>G</bold> and pedigree and genomic matrices have different bases, <bold>G</bold> was adjusted so the average diagonal and off-diagonal matches the averages of <bold>A</bold>
<sup>
<bold>22</bold>
</sup>. Pedigree kinship (sub) matrix was estimated tracing back the pedigree up to 7 generations, i.e.,&#x20;6,644 animals. <bold>G</bold> matrix was built using the methods proposed by <xref ref-type="bibr" rid="B92">VanRaden (2008)</xref>, as follows:<disp-formula id="e3">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold">MM</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold">i</mml:mi>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold">i</mml:mi>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where M is a matrix of SNP content centered by twice the current allele frequencies, and <inline-formula id="inf9">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the allele frequency for the ith SNP (<xref ref-type="bibr" rid="B92">VanRaden, 2008</xref>).</p>
<p>Additionally, to avoid singularity problems, the final <bold>G</bold> was computed as<disp-formula id="e4">
<mml:math id="m13">
<mml:mrow>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">&#x3bb;</mml:mi>
<mml:msub>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">&#x3b2;</mml:mi>
<mml:mi mathvariant="bold-italic">I</mml:mi>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>Where <bold>G</bold> is the matrix present in the <xref ref-type="disp-formula" rid="e2">Eq. 2</xref>, <bold>I</bold> is an identity matrix of the same dimensions, &#x3bb; and &#x3b2; are two weighting coefficients, with &#x3bb; &#x3d; 0.99 and &#x3b2; &#x3d; 0.01. These values were chosen due to their influence on the power of signal detection of the GWAS, and because they resulted in inflation close to optimum values. In addition, G was adjusted to a better blending with diagonal and off-diagonal of A<sup>22</sup> as described in <xref ref-type="bibr" rid="B95">Vitezica et&#x20;al. (2011)</xref>:<disp-formula id="e5">
<mml:math id="m14">
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>0.5</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mi>n</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munder>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>i</mml:mi>
</mml:munder>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munder>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>j</mml:mi>
</mml:munder>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">A</mml:mi>
<mml:mrow>
<mml:mn>22</mml:mn>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>j</mml:mtext>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mstyle>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munder>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>i</mml:mi>
</mml:munder>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munder>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>j</mml:mi>
</mml:munder>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:mrow>
<mml:mtext>i</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mtext>j</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>Then, the vector of estimated breeding values was obtained as:<disp-formula id="e6">
<mml:math id="m15">
<mml:mrow>
<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>&#x3d;</mml:mo>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mfrac>
<mml:mi mathvariant="bold-italic">M</mml:mi>
<mml:mo>&#x2032;</mml:mo>
<mml:msup>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>a</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>Where <inline-formula id="inf10">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the vector of estimated breeding values of genotyped animals. The prediction error variances <inline-formula id="inf11">
<mml:math id="m17">
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>, necessary to calculate the <italic>p</italic>-values, were calculated following <xref ref-type="bibr" rid="B32">Gualdr&#xf3;n Duarte et&#x20;al. (2014)</xref> and computed as in <xref ref-type="bibr" rid="B2">Aguilar et&#x20;al. (2019)</xref>, where:<disp-formula id="e7">
<mml:math id="m18">
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<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:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>V</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mfrac>
<mml:mi mathvariant="bold-italic">M</mml:mi>
<mml:mo>&#x2032;</mml:mo>
<mml:msup>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
<disp-formula id="e8">
<mml:math id="m19">
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<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:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mfrac>
<mml:mi mathvariant="bold-italic">M</mml:mi>
<mml:mo>&#x2032;</mml:mo>
<mml:msup>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mi mathvariant="bold">Var</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:msup>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mi mathvariant="bold-italic">M</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
</p>
<p>Since <inline-formula id="inf12">
<mml:math id="m20">
<mml:mrow>
<mml:mi mathvariant="bold-italic">Var</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is equal to <inline-formula id="inf13">
<mml:math id="m21">
<mml:mrow>
<mml:mi mathvariant="normal">PEV</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="normal">var</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>; thus <inline-formula id="inf14">
<mml:math id="m22">
<mml:mrow>
<mml:mi mathvariant="bold-italic">Var</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold">G</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3c3;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi mathvariant="bold">C</mml:mi>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>. It follows that formula <xref ref-type="disp-formula" rid="e8">Eq. 8</xref> becomes:<disp-formula id="e9">
<mml:math id="m23">
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<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:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mfrac>
<mml:mi mathvariant="bold-italic">M</mml:mi>
<mml:mo>&#x2032;</mml:mo>
<mml:msup>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>&#x3c3;</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:msup>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mi mathvariant="bold-italic">M</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
<inline-formula id="inf15">
<mml:math id="m24">
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="bold">C</mml:mi>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> is a submatrix of <bold>C</bold> belonging to the genotyped animals and represents the prediction error variances of <inline-formula id="inf16">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mn>22</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The <italic>p</italic>-values are then calculated as<disp-formula id="e10">
<mml:math id="m26">
<mml:mrow>
<mml:mi mathvariant="bold-italic">p</mml:mi>
<mml:mo>-</mml:mo>
<mml:mi mathvariant="bold-italic">v</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">l</mml:mi>
<mml:mi mathvariant="bold-italic">u</mml:mi>
<mml:msub>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold-italic">&#x3a6;</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x7c;</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mi mathvariant="bold-italic">i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">sd</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>&#x7c;</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>Where <inline-formula id="inf17">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>g</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the allele substitution effect of SNP i and <inline-formula id="inf18">
<mml:math id="m28">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>g</mml:mi>
<mml:mo>&#x5e;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> represents the square root of <xref ref-type="disp-formula" rid="e9">Eq. 9</xref>, &#x3a6; (&#x2219;) is the cumulative density function (CDF) of the normal distribution.</p>
<p>Two thresholds were used for the association tests: a genome-wide 5% significant level of &#x2212;log10(p) &#x3d; 5.55 (0.05/17,766) and a suggestive association with &#x2212;log10(p) &#x3d; 4.29 (0.1/17,766). These are the thresholds corrected for multiple tests i.e.,&#x20;<inline-formula id="inf19">
<mml:math id="m29">
<mml:mrow>
<mml:mfrac>
<mml:mi>p</mml:mi>
<mml:mi>n</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> where p is the probability level of significance and n is the corresponding number of independent SNPs (<italic>n</italic>&#x20;&#x3d; 17,766) calculated using the &#x201c;poolR&#x201d; R package (<ext-link ext-link-type="uri" xlink:href="https://cran.r-project.org/web/packages/poolr">https://cran.r-project.org/web/packages/poolr</ext-link>; <xref ref-type="bibr" rid="B78">R Core Team, 2021</xref>), according to <xref ref-type="bibr" rid="B54">Li and Ji (2005)</xref>. The number of independent tests was calculated based on the number of eigenvalues. Instead of the standard approach of <xref ref-type="bibr" rid="B14">Cheverud (2001)</xref>, we used the approach by <xref ref-type="bibr" rid="B54">Li and Ji (2005)</xref>, a function that decomposes the eigenvalues in the integral part (Effective Number Independent Test) and the nonintegral&#x20;part.</p>
<p>The (co)variance components have been estimated with REML using Average-Information algorithm (<xref ref-type="bibr" rid="B104">Gilmour et&#x20;al., 1995</xref>). Approximate standard error of (co)variance components has also been estimated through Monte Carlo sampling as in Houle and Meyer (2015), in which standard deviations were calculated from Monte Carlo chains sampled from multinormal distribution with covariance being the inverse of the Average Information Matrix and the estimated variances as the expectation. Then the heritability for the 3 phenotypes was calculated under single trait models as in <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>. Heritability was calculated as: <inline-formula id="inf20">
<mml:math id="m30">
<mml:mrow>
<mml:msup>
<mml:mi>h</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>; where <inline-formula id="inf21">
<mml:math id="m31">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>a</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf22">
<mml:math id="m32">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> are, respectively, the additive genetic and the residual variances.</p>
<p>Genetic and phenotypic correlations were estimated with bi-traits models, which are equivalent to <xref ref-type="disp-formula" rid="e1">Eq. 1</xref> except for the animal additive genetic and residual variance, assumed to follow a multivariate normal distribution with mean 0 and variances <bold>G &#x2297; H</bold>, and <bold>R &#x2297; I</bold>, where<disp-formula id="e11">
<mml:math id="m33">
<mml:mrow>
<mml:mi mathvariant="bold-italic">G</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>&#x7c;</mml:mo>
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mn>1</mml:mn>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mn>1</mml:mn>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
<mml:mo>&#x7c;</mml:mo>
</mml:mrow>
<mml:mo>;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mrow>
<mml:mo>&#x7c;</mml:mo>
<mml:mrow>
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mn>1</mml:mn>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mtd>
<mml:mtd>
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:mrow>
<mml:mo>&#x7c;</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>where <bold>G</bold> is the matrix of additive genetic (co)variances &#x3c3;<sup>2</sup>
<sub>a1</sub>, &#x3c3;<sup>2</sup>
<sub>a2</sub>, &#x3c3;<sub>a1a2</sub> of traits 1 and 2, <bold>R</bold> the matrix of residual (co)variances &#x3c3;<sup>2</sup>
<sub>e1</sub>, &#x3c3;<sup>2</sup>
<sub>e2</sub> and &#x3c3;<sub>e1e2</sub> of traits 1 and&#x20;2.</p>
<p>The correlation was estimated as: <inline-formula id="inf23">
<mml:math id="m34">
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mn>1</mml:mn>
<mml:mi>i</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> where <italic>i</italic> stands for the genetic and phenotypic correlation; 1 and 2 refer to the different performance test traits, and <inline-formula id="inf24">
<mml:math id="m35">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mn>1</mml:mn>
<mml:mi>i</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the covariance between traits 1 and traits 2, off diagonal of <xref ref-type="disp-formula" rid="e11">Eq. 11</xref>. For phenotypic (co)variance, we mean the sum of the genetic and the phenotypic (co)variances. Traits that do not include zero in their correlations Higher Posterior Density Interval (HPD) were declared significantly correlated.</p>
<p>All the genomic analyses were carried out with BLUPF90 family software (<xref ref-type="bibr" rid="B4">Aguilar et&#x20;al., 2018</xref>) following the procedure described in <xref ref-type="bibr" rid="B59">Lourenco et&#x20;al. (2020)</xref>. Manhattan plots were drawn using &#x201c;ggplot&#x201d; R package (<xref ref-type="bibr" rid="B97">Wickham, 2016</xref>), as were the LD graphs.</p>
</sec>
<sec id="s2-4">
<title>2.2 Pathway Analysis</title>
<p>Pathway&#x2019;s enrichment analysis was conducted to identify which biological pathways and functional elements were enriched for the investigated traits. From GWAS results, we selected SNPs with nominal <italic>p</italic>-values of &#x3c; 0.01 which were mapped to genes based on a distance of 15&#xa0;kb from the coding region using the &#x201c;biomaRt&#x201d; R package (<xref ref-type="bibr" rid="B20">Drost and Paszkowski, 2017</xref>) and Bos taurus UMD3.1 assembly as in <xref ref-type="bibr" rid="B74">Pegolo et&#x20;al. (2020)</xref>. Functional enrichment analysis was carried out on the list of significant genes using the Cytoscape plugin ClueGo (<xref ref-type="bibr" rid="B9">Bindea et&#x20;al., 2009</xref>). As functional categories, we used cellular component, biological process, and molecular functions within the Gene Ontology (GO, <ext-link ext-link-type="uri" xlink:href="http://geneontology.org">http://geneontology.org</ext-link>) database and the Kyoto Encyclopedia of Genes and Genomes (KEGG, <ext-link ext-link-type="uri" xlink:href="https://www.genome.jp/kegg/">https://www.genome.jp/kegg/</ext-link>). The Benjamini-Hochberg correction was applied to declare significant pathways: only pathways showing FDR &#x3c; 0.05 were retained. The minimum number of genes in the pathway was set to 3; the minimum percentage of genes present in the pathway was set to 4%. To simplify the redundance of GO terms we provide figures with similar terms grouped based on their semantic similarity using the R packages &#x201c;rrvgo&#x201d; (<xref ref-type="bibr" rid="B82">Sayols, 2020</xref>). In addition, we investigated if the candidate regions declared as significant by our GWAS overlapped with QTL in animal QTLdb, identified with R package &#x201c;GALLO&#x201d; (<xref ref-type="bibr" rid="B27">Fonseca et&#x20;al., 2020</xref>).</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and Discussion</title>
<sec id="s3-1">
<title>3.1 Heritability and Genetic Correlations</title>
<p>Descriptive statistics after data editing of the phenotypes are shown in <xref ref-type="table" rid="T1">Table&#x20;1</xref>. Phenotypic and genetic correlations and the heritability (h<sup>2</sup>) for the analyzed traits are reported in <xref ref-type="table" rid="T2">Table&#x20;2</xref>. Body weight traits presented an average value of h<sup>2</sup> lower than other traits: BW_i showed the lower heritability (0.130), while BW_m and BW_f had heritability of 0.220. In fact, as reported in literature, a large discrepancy of values has been observed for heritability of body weights, and generally, traits similar to birth weight or weaning weight have a slightly lower heritability than weight measured in more advanced stages (<xref ref-type="bibr" rid="B100">Yin and K&#xf6;nig, 2018</xref>). Average daily gain (ADG_tot) presented an intermediate heritability of 0.322 partitioned into 0.164 and 0.220 for ADG in the first and last period. As for body weight, ADG presents lower h<sup>2</sup> in first stages of the performance test, and h<sup>2</sup> values agree with what has been found in the literature (<xref ref-type="bibr" rid="B100">Yin and K&#xf6;nig, 2018</xref>). The highest heritabilities were found for the traits related to the carcass conformation, with a value of 0.45 and 0.47 respectively for CF and DP, close to what was observed in other local dual-purpose or beef cattle (<xref ref-type="bibr" rid="B5">Albera et&#x20;al., 2001</xref>; <xref ref-type="bibr" rid="B83">Sbarra et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B61">Mancin et&#x20;al., 2021c</xref>). These traits also appeared highly genetic correlated. All ADG traits were moderately genetically correlated with them, with a value of 0.5 on average. On the contrary, body weight measured at the beginning of the performance test was not significantly correlated with CF and DP. Interestingly, the weights measured in more advanced periods showed an increase of genetic correlation with a value close to 0.7. Body weight and ADG also presented a strong genetic correlation with body weight traits, especially for the traits measured at the final stages of the performance test. In terms of genetic correlations, the results agree with what was found in other local dual-purpose or beef breeds (<xref ref-type="bibr" rid="B94">Vesel&#xe1; et&#x20;al., 2011</xref>; <xref ref-type="bibr" rid="B26">Filip&#x10d;&#xed;k et&#x20;al., 2020</xref>). Phenotypic correlation followed the same trends of genetic correlation but with a lower magnitude (<xref ref-type="table" rid="T2">Table&#x20;2</xref>, under diagonal).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Summary statistics for phenotypic data of animals with both genotypic and phenotypic information (<italic>n</italic>&#x20;&#x3d; 689).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Traits</th>
<th align="center">Mean</th>
<th align="center">SD</th>
<th align="center">Min</th>
<th align="center">Max</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">BW_i (kg)</td>
<td align="char" char=".">65.72</td>
<td align="char" char=".">14.64</td>
<td align="char" char=".">37</td>
<td align="char" char=".">139</td>
</tr>
<tr>
<td align="left">BW_m (kg)</td>
<td align="char" char=".">183.40</td>
<td align="char" char=".">30.53</td>
<td align="char" char=".">83</td>
<td align="char" char=".">317</td>
</tr>
<tr>
<td align="left">BW_f (kg)</td>
<td align="char" char=".">376.20</td>
<td align="char" char=".">43.60</td>
<td align="char" char=".">203</td>
<td align="char" char=".">576</td>
</tr>
<tr>
<td align="left">ADG_i (g/d)</td>
<td align="char" char=".">939.20</td>
<td align="char" char=".">167.90</td>
<td align="char" char=".">138</td>
<td align="char" char=".">1,388</td>
</tr>
<tr>
<td align="left">ADG_f (g/d)</td>
<td align="char" char=".">1,082</td>
<td align="char" char=".">157.30</td>
<td align="char" char=".">365</td>
<td align="char" char=".">1756</td>
</tr>
<tr>
<td align="left">ADG_tot (g/d)</td>
<td align="char" char=".">1,024</td>
<td align="char" char=".">124.20</td>
<td align="char" char=".">474</td>
<td align="char" char=".">1,562</td>
</tr>
<tr>
<td align="left">CF (score)</td>
<td align="char" char=".">99.05</td>
<td align="char" char=".">3.80</td>
<td align="char" char=".">80</td>
<td align="char" char=".">111</td>
</tr>
<tr>
<td align="left">DP (score)</td>
<td align="char" char=".">54.18</td>
<td align="char" char=".">0.94</td>
<td align="char" char=".">50</td>
<td align="char" char=".">57</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>BW_i, body weight at the entrance at performance test stations; BW_m, body weight at 6&#xa0;months; BW_f, at the end of performance test; ADG_i, average daily gains covering the first half of the period (since entering into the PT, station until the 6th month); ADG_f, average daily gain covering the daily gain of the second half (since the 6<sup>th</sup> month to the end of the period), ADG_tot average daily gain covering the entire period; DP, Dressing Percentage; CF, Carcass Fleshiness; SD, Standard deviation; Min, minimum; Max, maximum.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Mean of genetic (over diagonal) and phenotypic (under diagonal) correlations, and heritability (diagonal) with the respective standard deviations in target traits in Rendena population, estimated under ssGBLUP models. (<sup>NS</sup>) stands for non-significant correlations.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">BW_i</th>
<th align="center">BW_m</th>
<th align="center">BW_f</th>
<th align="center">ADG_i</th>
<th align="center">ADG_f</th>
<th align="center">ADG_tot</th>
<th align="center">CF</th>
<th align="center">DP</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">BW_i</td>
<td align="char" char="plusmn">0.13&#x20;&#xb1; 0.08</td>
<td align="char" char="plusmn">0.99&#x20;&#xb1; 0.17</td>
<td align="char" char="plusmn">0.80&#x20;&#xb1; 0.10</td>
<td align="char" char="plusmn">0.52&#x20;&#xb1; 0.96</td>
<td align="char" char="plusmn">0.44&#x20;&#xb1; 0.85</td>
<td align="char" char="plusmn">0.50&#x20;&#xb1; 0.60<sup>
<bold>NS</bold>
</sup>
</td>
<td align="char" char="plusmn">0.33&#x20;&#xb1; 0.71</td>
<td align="char" char="plusmn">0.53&#x20;&#xb1; 0.80</td>
</tr>
<tr>
<td align="left">BW_m</td>
<td align="char" char="plusmn">0.41&#x20;&#xb1; 0.05</td>
<td align="char" char="plusmn">0.22&#x20;&#xb1; 0.09</td>
<td align="char" char="plusmn">0.87&#x20;&#xb1; 0.11</td>
<td align="char" char="plusmn">0.81&#x20;&#xb1; 0.41</td>
<td align="char" char="plusmn">0.68&#x20;&#xb1; 0.36</td>
<td align="char" char="plusmn">0.78&#x20;&#xb1; 0.59</td>
<td align="char" char="plusmn">0.69&#x20;&#xb1; 0.58</td>
<td align="char" char="plusmn">0.73&#x20;&#xb1; 0.44</td>
</tr>
<tr>
<td align="left">BW_f</td>
<td align="char" char="plusmn">0.29&#x20;&#xb1; 0.07</td>
<td align="char" char="plusmn">0.79&#x20;&#xb1; 0.03</td>
<td align="char" char="plusmn">0.22&#x20;&#xb1; 0.09</td>
<td align="char" char="plusmn">0.78&#x20;&#xb1; 0.43</td>
<td align="char" char="plusmn">0.97&#x20;&#xb1; 0.17</td>
<td align="char" char="plusmn">0.97&#x20;&#xb1; 0.28</td>
<td align="char" char="plusmn">0.62&#x20;&#xb1; 0.21</td>
<td align="char" char="plusmn">0.63&#x20;&#xb1; 0.23</td>
</tr>
<tr>
<td align="left">ADG_i</td>
<td align="char" char="plusmn">0.17&#x20;&#xb1; 0.07</td>
<td align="char" char="plusmn">0.77&#x20;&#xb1; 0.03</td>
<td align="char" char="plusmn">0.86&#x20;&#xb1; 0.02</td>
<td align="char" char="plusmn">0.16&#x20;&#xb1; 0.10</td>
<td align="char" char="plusmn">0.64&#x20;&#xb1; 0.12</td>
<td align="char" char="plusmn">0.81&#x20;&#xb1; 0.21</td>
<td align="char" char="plusmn">0.62&#x20;&#xb1; 0.43</td>
<td align="char" char="plusmn">0.67&#x20;&#xb1; 0.25</td>
</tr>
<tr>
<td align="left">ADG_f</td>
<td align="char" char="plusmn">&#x2212;0.04&#x20;&#xb1; 0.08</td>
<td align="char" char="plusmn">0.09&#x20;&#xb1; 0.08</td>
<td align="char" char="plusmn">0.68&#x20;&#xb1; 0.04</td>
<td align="char" char="plusmn">0.14&#x20;&#xb1; 0.08</td>
<td align="char" char="plusmn">0.23&#x20;&#xb1; 0.08</td>
<td align="char" char="plusmn">0.97&#x20;&#xb1; 0.1</td>
<td align="char" char="plusmn">0.43&#x20;&#xb1; 0.23</td>
<td align="char" char="plusmn">0.47&#x20;&#xb1; 0.22</td>
</tr>
<tr>
<td align="left">ADG_tot</td>
<td align="char" char="plusmn">0.11&#x20;&#xb1; 0.08</td>
<td align="char" char="plusmn">0.47&#x20;&#xb1; 0.06</td>
<td align="char" char="plusmn">0.84&#x20;&#xb1; 0.02</td>
<td align="char" char="plusmn">0.68&#x20;&#xb1; 0.04</td>
<td align="char" char="plusmn">0.80&#x20;&#xb1; 0.03</td>
<td align="char" char="plusmn">0.32&#x20;&#xb1; 0.09</td>
<td align="char" char="plusmn">0.55&#x20;&#xb1; 0.16</td>
<td align="char" char="plusmn">0.6&#x20;&#xb1; 0.15</td>
</tr>
<tr>
<td align="left">CF</td>
<td align="char" char="plusmn">0.14&#x20;&#xb1; 0.08</td>
<td align="char" char="plusmn">0.4&#x20;&#xb1; 0.07</td>
<td align="char" char="plusmn">0.49&#x20;&#xb1; 0.09</td>
<td align="char" char="plusmn">0.3&#x20;&#xb1; 0.08</td>
<td align="char" char="plusmn">0.37&#x20;&#xb1; 0.08</td>
<td align="char" char="plusmn">0.42&#x20;&#xb1; 0.08</td>
<td align="char" char="plusmn">0.46&#x20;&#xb1; 0.09</td>
<td align="char" char="plusmn">0.98&#x20;&#xb1; 0.02</td>
</tr>
<tr>
<td align="left">DP</td>
<td align="char" char="plusmn">0.05&#x20;&#xb1; 0.09</td>
<td align="char" char="plusmn">0.35&#x20;&#xb1; 0.08</td>
<td align="char" char="plusmn">0.51&#x20;&#xb1; 0.07</td>
<td align="char" char="plusmn">0.26&#x20;&#xb1; 0.09</td>
<td align="char" char="plusmn">0.38&#x20;&#xb1; 0.08</td>
<td align="char" char="plusmn">0.98&#x20;&#xb1; 0.02</td>
<td align="char" char="plusmn">0.73&#x20;&#xb1; 0.05</td>
<td align="char" char="plusmn">0.46&#x20;&#xb1; 0.09</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>BW_i, body weight at the entrance at performance test stations; BW_m, body weight at 6&#xa0;months; BW_f, at the end of performance test; ADG_i, average daily gains covering the first half of the period (since entering into the PT, station until the 6th month); ADG_f, average daily gain covering the daily gain of the second half (since the 6th month to the end of the period), ADG_tot average daily gain covering the entire period; DP, Dressing Percentage; CF, Carcass Fleshiness.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-2">
<title>3.2 Genomic Architecture and Imputation</title>
<p>A homogeneous density distribution (number of SNPs per Mb) was found throughout the genome, apart from few relatively small blank areas in 12 chromosomes. For further details on SNP density on each chromosome after imputation and quality control, see <xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>. The new imputed panel had a SNPs density close to the one found in the young bulls genotyped with HD platforms. A value of imputation accuracy of 0.95&#x20;&#xb1; 0.05 was observed via cross-validation in the HD males (<xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>). Combined with the high correlation between the A and G matrix, these results confirm the reliability of the new Alphaimpute2 algorithm for this population.</p>
<p>The PCA scatterplots (<xref ref-type="fig" rid="F1">Figure&#x20;1</xref>) illustrate a homogenous distribution of allele frequencies in individuals that comprised our study population. No stratification has been observed in the first two components, suggesting that most G matrix variance is explained by many eigenvalues with small effect. Genome-wide linkage disequilibrium and MAF have also been explored since the availability of high-density SNP platforms permits to explore the LD decay at an unprecedented resolution. In addition, MAF and LD are useful for understanding differences in population history and demography and for its impacts for genome-wide mapping studies. LD decay per each chromosome is reported in <xref ref-type="sec" rid="s11">Supplementary Figure S3</xref>. As expected, most tightly linked SNPs presented strong levels of LD while it rapidly declines when the distance increases. A within-chromosome LD average value of 0.19&#x20;&#xb1; 0.12 has been observed. When the distance between markers is lower than 1&#xa0;Mb, the LD squared correlation between pairs of loci across autosomes (r<sup>2</sup>) (<xref ref-type="bibr" rid="B38">Hill and Robertson, 1968</xref>) reached an average value of 0.17&#x20;&#xb1; 0.27, and when the distance was &#x3e; 1&#xa0;Mb LD decreased to 0.04&#x20;&#xb1; 0.09 (<xref ref-type="sec" rid="s11">Supplementary Figure S3</xref>). Larger levels of LD have been observed for chromosome 6 (0.20), while lower levels of LD were observed for chromosome 28 (0.18). An average value of 0.29&#x20;&#xb1; 0.12 was observed for minor allele frequency; no noticeable difference has been observed along the 29 chromosomes, with MAF values ranging from 0.28&#x20;&#xb1; 0.12 (chromosome 12) to 0.30&#x20;&#xb1; 0.12 (chromosome 19). With respect to the other local Italian breeds (i.e.,&#x20;<xref ref-type="bibr" rid="B24">Fabbri et&#x20;al., 2020</xref>), Rendena presents a lower level of LD. This issue implicitly underlines the reassuring demographic situation of Rendena compared with other indigenous cattle of Italy, as it demonstrates a lower risk of inbreeding depression.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Scatter plot of first and second principal components of the genomic relationship matrix (the G matrix) used in the ssGBLUP. A total of 113,279 SNPs and 1,690 cattle were used to perform the principal component analysis.</p>
</caption>
<graphic xlink:href="fgene-12-746665-g001.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 GWAS and Pathway Analysis</title>
<p>The full results of GWAS are reported in <xref ref-type="table" rid="T3">Table&#x20;3</xref>. We found a total of 8 SNP significantly associated with 5 of the investigated traits, and 47 SNPs suggestively associated with all 7 investigated traits (<xref ref-type="fig" rid="F2">Figure&#x20;2</xref>). Pathway analysis revealed that out of 113,279 SNPs, 77,506 were located within a 15&#xa0;kb window of annotated genes; in the end, 14,380 annotated genes were used as a background for each trait. On average, 628 genes near significant SNPs (&#x3c;0.01) were identified and subsequently used for pathway analysis of each trait. All traits presented an inflation factor close to optimum values of 1 (<xref ref-type="fig" rid="F2">Figure&#x20;2</xref>) calculated based on the median chi-squared test. In addition, analysis on localized linkage disequilibrium (0.5&#xa0;Mb form significant SNP), has been carried out (<xref ref-type="fig" rid="F3">Figures 3</xref>&#x2013;<xref ref-type="fig" rid="F7">7</xref>), and results indicated that all significant candidate genes are extremely close to the significant SNPs, except for candidate gene <italic>ZNF784</italic>, which is situated between two significant SNP (<xref ref-type="fig" rid="F6">Figure&#x20;6</xref>).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Significant and suggestively SNPs found on the GWAS&#x20;study.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Trait</th>
<th align="center">BTA</th>
<th align="center">Position of the SNP (bp)</th>
<th align="center">Significance of the SNP (&#x2212;log (<italic>p</italic>-value))</th>
<th align="center">Nearest gene(s)</th>
<th align="center">Distance to nearest gene (kb)</th>
<th align="center">Other traits associated</th>
<th align="center">Variance explained (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="8" align="left">Body weight</td>
</tr>
<tr>
<td align="left">&#x2003;BW_i</td>
<td align="char" char=".">
<bold>9</bold>
</td>
<td align="char" char=".">
<bold>64,611,352</bold>
</td>
<td align="center">
<bold>3.04E-06</bold>
</td>
<td align="left">
<bold>
<italic>TBX18</italic>
</bold>
</td>
<td align="center">
<bold>0.589</bold>
</td>
<td align="left"/>
<td align="char" char=".">0.22</td>
</tr>
<tr>
<td align="left">&#x2003;BW_i</td>
<td align="char" char=".">9</td>
<td align="char" char=".">64,599,056</td>
<td align="center">2.37E-05</td>
<td align="left">
<italic>TBX18</italic>
</td>
<td align="center">12.885</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;BW_i</td>
<td align="char" char=".">9</td>
<td align="char" char=".">64,557,321</td>
<td align="center">2.81E-05</td>
<td align="left">
<italic>TBX18</italic>
</td>
<td align="center">54.620</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;BW_i</td>
<td align="char" char=".">24</td>
<td align="char" char=".">49,394,386</td>
<td align="center">3.43E-05</td>
<td align="left">
<italic>ACAA2</italic>
</td>
<td align="center">48.389</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;BW_i</td>
<td align="char" char=".">24</td>
<td align="char" char=".">49,493,559</td>
<td align="center">4.43E-05</td>
<td align="left">
<italic>MYO5B</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;BW_m</td>
<td align="char" char=".">7</td>
<td align="char" char=".">32,306,269</td>
<td align="center">8.65E-06</td>
<td align="left">
<italic>FTMT</italic>
</td>
<td align="center">321.80</td>
<td align="center">BW_f; ADG_i</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;BW_m</td>
<td align="char" char=".">1</td>
<td align="char" char=".">67,212,088</td>
<td align="center">3.27E-05</td>
<td align="left">
<italic>DIRC2</italic>
</td>
<td align="center">2.783</td>
<td align="center">ADG_i</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;BW_m</td>
<td align="char" char=".">21</td>
<td align="char" char=".">22,956,171</td>
<td align="center">5.11E-05</td>
<td align="left">
<italic>CPEB1</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;BW_m</td>
<td align="char" char=".">24</td>
<td align="char" char=".">49,735,783</td>
<td align="center">5.55E-05</td>
<td align="left">
<italic>MYO5B</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;BW_f</td>
<td align="char" char=".">26</td>
<td align="char" char=".">6,437,290</td>
<td align="center">7.50E-06</td>
<td align="left">
<italic>MBL2</italic>
</td>
<td align="center">3.483</td>
<td align="center">ADG_tot</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;BW_f</td>
<td align="char" char=".">7</td>
<td align="char" char=".">32,306,269</td>
<td align="center">8.39E-06</td>
<td align="left">
<italic>FTMT</italic>
</td>
<td align="center">321.80</td>
<td align="center">BW_m, ADG_i</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;BW_f</td>
<td align="char" char=".">21</td>
<td align="char" char=".">17,568,377</td>
<td align="center">3.44E-05</td>
<td align="left">
<italic>AGBL1</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;BW_f</td>
<td align="char" char=".">24</td>
<td align="char" char=".">24,130,452</td>
<td align="center">4.56E-05</td>
<td align="left">
<italic>CCDC178</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;BW_f</td>
<td align="char" char=".">14</td>
<td align="char" char=".">60,644,816</td>
<td align="center">4.62E-05</td>
<td align="left">
<italic>RIMS2</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td colspan="8" align="left">Average Daily Gain</td>
</tr>
<tr>
<td align="left">&#x2003;ADG_i</td>
<td align="char" char=".">
<bold>1</bold>
</td>
<td align="char" char=".">
<bold>67,212,088</bold>
</td>
<td align="center">
<bold>2.84E-06</bold>
</td>
<td align="left">
<bold>
<italic>DIRC2</italic>
</bold>
</td>
<td align="center">
<bold>2.783</bold>
</td>
<td align="center">
<bold>BW_m</bold>
</td>
<td align="char" char=".">
<bold>0.441</bold>
</td>
</tr>
<tr>
<td align="left">&#x2003;ADG_i</td>
<td align="char" char=".">7</td>
<td align="char" char=".">32,306,269</td>
<td align="center">1.99E-05</td>
<td align="left">
<italic>FTMT</italic>
</td>
<td align="center">321.80</td>
<td align="center">BW_m; BW_f</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_i</td>
<td align="char" char=".">7</td>
<td align="char" char=".">32,009,625</td>
<td align="center">3.03E-05</td>
<td align="left">
<italic>FTMT</italic>
</td>
<td align="center">25.152</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_i</td>
<td align="char" char=".">4</td>
<td align="char" char=".">91,417,417</td>
<td align="center">3.11E-05</td>
<td align="left">
<italic>GRM8</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">
<bold>10</bold>
</td>
<td align="char" char=".">
<bold>62,113,751</bold>
</td>
<td align="center">
<bold>1.81E-07</bold>
</td>
<td align="left">
<bold>
<italic>SLC12A1</italic>
</bold>
</td>
<td align="center">within</td>
<td align="center">
<bold>ADG_tot</bold>
</td>
<td align="char" char=".">
<bold>0.073</bold>
</td>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">
<bold>10</bold>
</td>
<td align="char" char=".">
<bold>52,785,760</bold>
</td>
<td align="center">
<bold>1.29E-06</bold>
</td>
<td align="left">
<bold>
<italic>CGNL1</italic>
</bold>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="char" char=".">
<bold>0.203</bold>
</td>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">
<bold>10</bold>
</td>
<td align="char" char=".">
<bold>54,787,499</bold>
</td>
<td align="center">
<bold>1.75E-06</bold>
</td>
<td align="left">
<bold>
<italic>PRTG</italic>
</bold>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="char" char=".">
<bold>0.435</bold>
</td>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">55,502,036</td>
<td align="center">3.42E-06</td>
<td align="left">
<italic>UNC13C</italic>
</td>
<td align="center">135.046</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">55,510,249</td>
<td align="center">3.56E-06</td>
<td align="left">
<italic>UNC13C</italic>
</td>
<td align="center">126.833</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">55,535,781</td>
<td align="center">4.35E-06</td>
<td align="left">
<italic>UNC13C</italic>
</td>
<td align="center">101.301</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">57,348,706</td>
<td align="center">6.68E-06</td>
<td align="left">
<italic>LOC101904374</italic>
</td>
<td align="center">248.031</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">26</td>
<td align="char" char=".">8,564,813</td>
<td align="center">5.92E-06</td>
<td align="left">
<italic>A1CF; ASAH2</italic>
</td>
<td align="center">17.739; 32.479</td>
<td align="center">ADG_tot</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">52,777,666</td>
<td align="center">9.27E-06</td>
<td align="left">
<italic>CGNL1</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">57,311,183</td>
<td align="center">9.77E-06</td>
<td align="left">
<italic>LOC101904374</italic>
</td>
<td align="center">285.554</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">52,023,061</td>
<td align="center">1.35E-05</td>
<td align="left">
<italic>AQP9</italic>
</td>
<td align="center">65.881</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">56,585,283</td>
<td align="center">1.56E-05</td>
<td align="left">
<italic>WDR72</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">61,604,387</td>
<td align="center">2.24E-05</td>
<td align="left">
<italic>LOC104973175; FBN1</italic>
</td>
<td align="center">20.944; 51.118</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">58,180,258</td>
<td align="left"/>
<td align="left">
<italic>MYO5C; GNB5</italic>
</td>
<td align="center">1.494; 11.943</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">63,669,471</td>
<td align="center">3.56E-05</td>
<td align="left">
<italic>&#x2014;</italic>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">52,284,899</td>
<td align="center">4.06E-05</td>
<td align="left">
<italic>ALDH1A2</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">57,890,651</td>
<td align="center">4.13E-05</td>
<td align="left">
<italic>MYO5A</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">11</td>
<td align="char" char=".">78,877,665</td>
<td align="center">4.48E-05</td>
<td align="left">
<italic>WDR35</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">55,830,543</td>
<td align="center">4.90E-05</td>
<td align="left">
<italic>UNC13C</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_f</td>
<td align="char" char=".">10</td>
<td align="char" char=".">57048787</td>
<td align="center">4.98E-05</td>
<td align="left">
<italic>LOC101904374</italic>
</td>
<td align="center">547.950</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_tot</td>
<td align="char" char=".">
<bold>10</bold>
</td>
<td align="char" char=".">
<bold>62,113,571</bold>
</td>
<td align="center">
<bold>2.07E-06</bold>
</td>
<td align="left">
<bold>
<italic>SLC12A1</italic>
</bold>
</td>
<td align="center">within</td>
<td align="center">
<bold>ADG_f</bold>
</td>
<td align="char" char=".">
<bold>0.501</bold>
</td>
</tr>
<tr>
<td align="left">&#x2003;ADG_tot</td>
<td align="char" char=".">26</td>
<td align="char" char=".">8,564,813</td>
<td align="center">1.66E-05</td>
<td align="left">
<italic>A1CF; ASAH2</italic>
</td>
<td align="center">17.739; 32.479</td>
<td align="center">ADG_f</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_tot</td>
<td align="char" char=".">11</td>
<td align="char" char=".">21,542,682</td>
<td align="center">3.41E-05</td>
<td align="left">
<italic>CDKL4; MAP4K3</italic>
</td>
<td align="center">7.971; 11.618</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;ADG_tot</td>
<td align="char" char=".">26</td>
<td align="char" char=".">6,437,290</td>
<td align="center">6.03E-05&#x2a;</td>
<td align="left">
<italic>MBL2</italic>
</td>
<td align="center">3.483</td>
<td align="center">BW_f</td>
<td align="left"/>
</tr>
<tr>
<td colspan="8" align="left">Dressing Percentage</td>
</tr>
<tr>
<td align="left">&#x2003;DP</td>
<td align="char" char=".">
<bold>18</bold>
</td>
<td align="char" char=".">
<bold>62,412,976</bold>
</td>
<td align="center">
<bold>4.51E-07</bold>
</td>
<td align="left">
<bold>
<italic>NLRP2</italic>
</bold>
</td>
<td align="center">within</td>
<td align="center">
<bold>CF</bold>
</td>
<td align="char" char=".">
<bold>0.640</bold>
</td>
</tr>
<tr>
<td align="left">&#x2003;DP</td>
<td align="char" char=".">
<bold>18</bold>
</td>
<td align="char" char=".">
<bold>55,878,286</bold>
</td>
<td align="center">
<bold>2.40E-06</bold>
</td>
<td align="left">
<bold>
<italic>CDC155</italic>
</bold>
</td>
<td align="center">within</td>
<td align="center">
<bold>CF</bold>
</td>
<td align="char" char=".">
<bold>0.731</bold>
</td>
</tr>
<tr>
<td align="left">&#x2003;DP</td>
<td align="char" char=".">1</td>
<td align="char" char=".">148,893,434</td>
<td align="center">8.77E-06</td>
<td align="left">
<italic>SIM2</italic>
</td>
<td align="center">80.004</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;DP</td>
<td align="char" char=".">18</td>
<td align="char" char=".">58,645,859</td>
<td align="center">1.06E-05</td>
<td align="left">
<italic>LOC101904435</italic>
</td>
<td align="center">within</td>
<td align="center">CF</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;DP</td>
<td align="char" char=".">18</td>
<td align="char" char=".">61,137,684</td>
<td align="center">1.15E-05</td>
<td align="left">
<italic>LOC513941</italic>
</td>
<td align="center">within</td>
<td align="center">CF</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;DP</td>
<td align="char" char=".">4</td>
<td align="char" char=".">99,574,406</td>
<td align="center">2.34E-05</td>
<td align="left">
<italic>LOC112446424</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;DP</td>
<td align="char" char=".">18</td>
<td align="char" char=".">57,735,853</td>
<td align="center">3.03E-05</td>
<td align="left">
<italic>LOC787554</italic>
</td>
<td align="center">within</td>
<td align="center">CF</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;DP</td>
<td align="char" char=".">18</td>
<td align="char" char=".">62,427,814</td>
<td align="center">4.49E-05</td>
<td align="left">
<italic>NLRP2</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;DP</td>
<td align="char" char=".">18</td>
<td align="char" char=".">63,362,491</td>
<td align="center">4.97E-05</td>
<td align="left">
<italic>LOC107131476</italic>
</td>
<td align="center">560</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;DP</td>
<td align="char" char=".">17</td>
<td align="char" char=".">72055006</td>
<td align="center">5.07E-05</td>
<td align="left">
<italic>YPEL1</italic>
</td>
<td align="center">23.650</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;DP</td>
<td align="char" char=".">18</td>
<td align="char" char=".">62,428,754</td>
<td align="center">5.25E-05</td>
<td align="left">
<italic>NLRP2</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td colspan="8" align="left">Carcass Fleshiness</td>
</tr>
<tr>
<td align="left">&#x2003;CF</td>
<td align="char" char=".">
<bold>18</bold>
</td>
<td align="char" char=".">
<bold>61,137,684</bold>
</td>
<td align="center">
<bold>5.62E-08</bold>
</td>
<td align="left">
<bold>
<italic>LOC513941</italic>
</bold>
</td>
<td align="center">within</td>
<td align="center">
<bold>DP</bold>
</td>
<td align="char" char=".">
<bold>0.450</bold>
</td>
</tr>
<tr>
<td align="left">&#x2003;CF</td>
<td align="char" char=".">
<bold>18</bold>
</td>
<td align="char" char=".">
<bold>62,412,976</bold>
</td>
<td align="center">
<bold>9.40E-07</bold>
</td>
<td align="left">
<bold>
<italic>NLRP2</italic>
</bold>
</td>
<td align="center">within</td>
<td align="center">
<bold>DP</bold>
</td>
<td align="char" char=".">
<bold>0.670</bold>
</td>
</tr>
<tr>
<td align="left">&#x2003;CF</td>
<td align="char" char=".">18</td>
<td align="char" char=".">58,645,859</td>
<td align="center">4.71E-06</td>
<td align="left">
<italic>LOC101904435</italic>
</td>
<td align="center">within</td>
<td align="center">DP</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;CF</td>
<td align="char" char=".">18</td>
<td align="char" char=".">55,878,286</td>
<td align="center">7.67E-06</td>
<td align="left">
<italic>CCDC155</italic>
</td>
<td align="center">within</td>
<td align="center">DP</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;CF</td>
<td align="char" char=".">18</td>
<td align="char" char=".">61,920,892</td>
<td align="center">9.57E-06</td>
<td align="left">
<italic>ZNF784</italic>
</td>
<td align="center">895</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;CF</td>
<td align="char" char=".">18</td>
<td align="char" char=".">57,735,853</td>
<td align="center">1.05E-05</td>
<td align="left">
<italic>LOC787554</italic>
</td>
<td align="center">within</td>
<td align="center">DP</td>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;CF</td>
<td align="char" char=".">18</td>
<td align="char" char=".">57,516,245</td>
<td align="center">1.66E-05</td>
<td align="left">
<italic>LOC618268</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;CF</td>
<td align="char" char=".">14</td>
<td align="char" char=".">45,804,718</td>
<td align="center">2.30E-05</td>
<td align="left">
<italic>SAMD12</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;CF</td>
<td align="char" char=".">28</td>
<td align="char" char=".">14,722,675</td>
<td align="center">2.48E-05</td>
<td align="left">
<italic>LOC101906006</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;CF</td>
<td align="char" char=".">18</td>
<td align="char" char=".">57,565,406</td>
<td align="center">3.23E-05</td>
<td align="left">
<italic>SIGLEC5</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;CF</td>
<td align="char" char=".">12</td>
<td align="char" char=".">27,043,078</td>
<td align="center">3.38E-05</td>
<td align="left">
<italic>&#x2014;</italic>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;CF</td>
<td align="char" char=".">18</td>
<td align="char" char=".">57,008,781</td>
<td align="center">4.83E-05</td>
<td align="left">
<italic>KLK12</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x2003;CF</td>
<td align="char" char=".">28</td>
<td align="char" char=".">14,788,560</td>
<td align="center">5.31E-05</td>
<td align="left">
<italic>PHYHIPL</italic>
</td>
<td align="center">within</td>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Significant SNPs are reported in bold. Gene with &#x2a; were just outside suggestive association range for one trait; it was retained in the table because significant for another trait. The threshold of significance chosen for our analysis was <italic>p</italic>&#x20;&#x3d; 3.162 &#x2a; 10-6, obtained through Bonferroni correction, while threshold for Bonferroni suggestive <italic>p</italic>-values was p&#x20;&#x3d; 5.629 &#x2a; 10-5.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Manhattan and Q-Q plots of BW_i: body weight at the entrance at performance test stations; BW_m: body weight at 6&#xa0;months; BW_f: body weight at the end of performance test. Average daily gain: ADG_i, covers of the first half of the period (since entering into the PT station until the 6th month); ADG_f, covers the daily gain of the second half (from the 6th month to the end of the period); ADG_tot is the average daily gain throughout the entire period. DP, Dressing Percentage; CF, Carcass Fleshiness. Dotted lines represent the suggestive and the significant threshold. Red dot represented the significant SNPs and neighboring SNPs (&#xb1;1&#xa0;Mb) while green dot are the SNPs and neighboring SNPs (&#xb1;1&#xa0;Mb). Q-Q plots are displayed as scatter plots of observed and expected &#x2013;log10 (<italic>p</italic>-values) <bold>(right)</bold>. Values of inflation are reported within the QQplots.</p>
</caption>
<graphic xlink:href="fgene-12-746665-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(A)</bold> Localized linkage disequilibrium analysis of BW_i. Manhattan plots displaying the level of significance (y-axis) over genomic positions (x-axis) in a window of 0.5&#xa0;Mb upstream and downstream of the most significantly SNP. Vertical line represents the position of candidate gene <italic>TBX18</italic>. Different colors are used to represent the pairwise LD with the closest significant SNPs: blue &#x3c; 0.2; light blue &#x3c; 0.4; green &#x3c; 0.6; yellow &#x3c; 0.8 and red &#x3e; 0.8. <bold>(B)</bold> Represents linkage disequilibrium of that&#x20;area.</p>
</caption>
<graphic xlink:href="fgene-12-746665-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> Localized linkage disequilibrium analysis of ADG_i. Manhattan plots displaying the level of significance (y-axis) over genomic positions (x-axis) in a window of 0.5&#xa0;Mb upstream and downstream of the most significantly SNP. Vertical line represents the position of candidate gene <italic>DIRC2</italic>. Different colors are used to represent the pairwise LD with the closest significant SNPs: blue &#x3c; 0.2; light blue &#x3c; 0.4; green &#x3c; 0.6; yellow &#x3c; 0.8 and red &#x3e; 0.8. <bold>(B)</bold> Represents linkage disequilibrium of that&#x20;area.</p>
</caption>
<graphic xlink:href="fgene-12-746665-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(A)</bold> Localized linkage disequilibrium analysis of ADG_f. Manhattan plots displaying the level of significance (y-axis) over genomic positions (x-axis) in a window of 0.5&#xa0;Mb upstream and downstream of the most significantly SNP. Vertical line represents the position of candidate genes <italic>CGNL1</italic>, <italic>PRTG</italic>, <italic>UNC13C</italic> and <italic>SLC12A1</italic>. Different colors are used to represent the pairwise LD with the closest significant SNPs: blue &#x3c; 0.2; light blue &#x3c; 0.4; green &#x3c; 0.6; yellow &#x3c; 0.8 and red &#x3e; 0.8. <bold>(B)</bold> the represents Linkage disequilibrium present of that&#x20;area.</p>
</caption>
<graphic xlink:href="fgene-12-746665-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A)</bold> Localized linkage disequilibrium analysis of DP. Manhattan plots displaying the level of significance (y-axis) over genomic positions (x-axis) in a window of 0.5&#xa0;Mb upstream and downstream of the most significantly SNP. Vertical line represents the position of candidate genes <italic>LOC513941</italic>, <italic>ZNF784</italic> and <italic>NLRP2</italic>. Different colors are used to represent the pairwise LD with the closest significant SNPs: blue &#x3c; 0.2; light blue &#x3c; 0.4; green &#x3c; 0.6; yellow &#x3c; 0.8 and red &#x3e; 0.8. <bold>(B)</bold> the represents Linkage disequilibrium present of that&#x20;area.</p>
</caption>
<graphic xlink:href="fgene-12-746665-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(A)</bold> Localized linkage disequilibrium analysis of CF. Manhattan plots displaying the level of significance (y-axis) over genomic positions (x-axis) in a window of 0.5&#xa0;Mb upstream and downstream of the most significantly SNP. Vertical line represents the position of candidate genes <italic>LOC513941</italic>, <italic>NLRP2</italic> and <italic>LOC107131373</italic>. Different colors are used to represent the pairwise LD with the closest significant SNPs: blue &#x3c; 0.2; light blue &#x3c; 0.4; green &#x3c; 0.6; yellow &#x3c; 0.8 and red &#x3e; 0.8. <bold>(B)</bold> the represents Linkage disequilibrium present of that&#x20;area.</p>
</caption>
<graphic xlink:href="fgene-12-746665-g007.tif"/>
</fig>
<sec id="s3-3-1">
<title>3.3.1 Body Weight</title>
<p>Significant SNPs contributing to the genetic effect of body weight are listed in <xref ref-type="table" rid="T3">Table&#x20;3</xref>. Body weight measured at first stage was the only BW trait in which significant SNPs were identified, while body weight measured at the half of the performance test period presented the lowest number of suggestive SNPs and biological pathways enriched. The significant peak for BW_i was located at 64&#xa0;Mb on BTA9, in the vicinity of gene <italic>TBX18</italic> (<xref ref-type="fig" rid="F3">Figure&#x20;3</xref>; <xref ref-type="table" rid="T3">Table&#x20;3</xref>). This gene is mainly involved in controlling the first stages of embryonic development and in the morphogeny of the embryonic epithelium (<xref ref-type="bibr" rid="B16">Consortium, 2021</xref>). To our knowledge, no previous connection with body weight had ever been found for <italic>TBX18</italic>; however, a study found an association between this gene and development in dual-purpose Simmental breed but not in other specialized breeds (<xref ref-type="bibr" rid="B19">Doyle et&#x20;al., 2020a</xref>). We hypothesize that a possible mechanism for the connection between <italic>TBX18</italic> and body weight could lie in the fact that it is a strict paralogue of <italic>TBX15</italic>, a gene linked to obesity-related traits in humans and mice (<xref ref-type="bibr" rid="B22">Ejarque et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B88">Sun et&#x20;al., 2019</xref>); it is demonstrated that <italic>TBX15</italic> regulates processes related to the skeletal muscles metabolism, which is in turn linked to animals&#x2019; body size (<xref ref-type="bibr" rid="B52">Lee et&#x20;al., 2015</xref>). However, studies on the relationship between <italic>TBX15</italic> and <italic>TBX18</italic> in cattle and the impact of <italic>TBX15/18</italic> on the regulation of muscle metabolism are needed to validate this hypothesis. We identified several known cattle QTLs in QTLdb overlapping with our candidate region (<xref ref-type="sec" rid="s11">Supplementary Table S2A</xref>): the majority of these QTLs were linked to morphology (47.5%), followed by beef production (22.5%).</p>
<p>
<italic>MYO5B</italic> is a candidate gene for both BW_m and BW_i (<xref ref-type="table" rid="T3">Table&#x20;3</xref>), identified by the presence of two suggestively associated SNPs located on chromosome 24. <italic>MYO5B</italic> is related to the development of skeletal muscle for what concerns actin and myosin organization and with the binding of ATP (<xref ref-type="bibr" rid="B16">Consortium, 2021</xref>). Interestingly, this gene was also identified in GWAS conducted on dual-purpose Simmental breeds (<xref ref-type="bibr" rid="B18">Doyle et&#x20;al., 2020b</xref>).</p>
<p>The analysis of the enriched pathways, represented in <xref ref-type="fig" rid="F8">Figure&#x20;8</xref>, reinforced what has been mentioned for the single genes, namely that in our study the mechanisms regulating body weight were mainly those linked to the development of muscle masses. Among the GO terms enriched (<xref ref-type="fig" rid="F8">Figure&#x20;8</xref>; <xref ref-type="sec" rid="s11">Supplementary Figures S4A,B</xref>), there were: organization of cytoskeleton (GO:0007010), actomyosin structure (GO:0031032), actin filament bundle (GO:0061572), and contractile actin filament bundle assembly (GO:0051017). The pathways analysis revealed a further biological process related to the metabolism of lipids on skeletal muscles (GO:0055088, GO:0055092, GO:0042632). Regulation of the selection of appropriate nutrients by the skeletal muscle is essential both in terms of muscle energy metabolism and in terms of general regulation of whole-body supply and use of fuel (<xref ref-type="bibr" rid="B40">Hocquette et&#x20;al., 1998</xref>): again, this enriched pathway was also found in <xref ref-type="bibr" rid="B87">Srivastava et&#x20;al. (2020)</xref>.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Scatter plot representing the main groups of biological pathways enriched for Body Weight traits measured at first, half and final period of performance test (BW_i, BW_m, BW_f); the area represents the number of pathways in that group, among the total. For a detailed list of the pathways enriched by these traits see <xref ref-type="sec" rid="s11">Supplementary Figures S4A&#x2013;C</xref>.</p>
</caption>
<graphic xlink:href="fgene-12-746665-g008.tif"/>
</fig>
<p>Aside from the already mentioned <italic>MYOB5,</italic> two candidate genes within suggestively associated SNPs were identified for BW_m: <italic>CPEB1</italic> and <italic>DIRC2</italic>, found on BTA1 and 21, respectively (<xref ref-type="table" rid="T3">Table&#x20;3</xref>). While these genes are not directly involved with body weight, we found them related to factors with a potential secondary impact on growth. For example, the <italic>CPEB1</italic> gene is involved in the regulation of mRNA translation and cell proliferation, with an influence on the molecular mechanisms associated with superior resilience to heat stress in cattle (<xref ref-type="bibr" rid="B57">Livernois et&#x20;al., 2021</xref>). Moreover, <italic>CPEB1</italic> was also detected by other GWAS studies in cattle in which the target phenotype was residual feed intake (<xref ref-type="bibr" rid="B51">Lapierre et&#x20;al., 1995</xref>). <italic>DIRC2</italic> has been associated with lipid storage in geese&#x2019;s (<italic>Anser anser domesticus</italic>) liver (<xref ref-type="bibr" rid="B99">Yang et&#x20;al., 2020</xref>), given its role as a substrate carrier.</p>
<p>In BW_f, as in the other phenotypes, several genes identified by suggestively associated SNPs (<xref ref-type="table" rid="T3">Table&#x20;3</xref>) had never been associated before with body size traits. Moreover, connections between such candidate genes and body weight were not straightforward. One suggestively associated gene for BW_f, <italic>CCDC178</italic>, was identified in some GWA studies on disease resistance in local cattle (<xref ref-type="bibr" rid="B48">Kosi&#x144;ska-Selbi et&#x20;al., 2020</xref>). The <italic>MBL2</italic> gene, a candidate gene suggestively associated to BW_f (and almost suggestive for ADG_tot), also seems to have an indirect connection with body weight: <italic>MBL2</italic> plays a central role in the activation of the mannose-binding lectin or mannose-binding protein; this protein is involved in processes that regulate the immune system, preventing infection from bacteria, virus, and yeast (<xref ref-type="bibr" rid="B16">Consortium, 2021</xref>).</p>
<p>No biological process strictly related to muscle mass development was identified (<xref ref-type="fig" rid="F8">Figure&#x20;8</xref>; <xref ref-type="sec" rid="s11">Supplementary Figure S4C</xref>), but many processes related to other aspects of growth and body weight have been found. Several pathways were involved in GABA processes (<xref ref-type="fig" rid="F8">Figure&#x20;8</xref>; <xref ref-type="sec" rid="s11">Supplementary Figures S4A&#x2013;C</xref>): GABA is actively involved in regulating leptin, the satiety hormone, which has an essential role in nutrient intake and feeding motivation (<xref ref-type="bibr" rid="B69">Miller 2017</xref>). Some pathways also appear to be associated with processes such as morphogenesis of the epithelium (GO:0048791, GO:0007492, GO:0048332, GO:0001707 GO:0035987; mesoderm morphogenesis in <xref ref-type="fig" rid="F8">Figure&#x20;8</xref>), which has a connection with body weight (increased paracellular permeability for the absorption of nutrients leads to augmented energy intake (<xref ref-type="bibr" rid="B93">Vanvanhossou et&#x20;al., 2020</xref>).</p>
<p>Finally, many enriched terms were related to neuronal aspects (i.e.,&#x20;GO:0043005 GO:0097060, GO:0099537; <xref ref-type="fig" rid="F8">Figure&#x20;8</xref>; <xref ref-type="sec" rid="s11">Supplementary Figures S4A&#x2013;C</xref>): this may find justification in the many studies underlining how these pathways are linked to the complex interaction between physio- and behavioral components that control the intake of food and energy expenditure (<xref ref-type="bibr" rid="B105">Martinez, 2000</xref>).</p>
</sec>
<sec id="s3-3-2">
<title>3.3.2 Average Daily Gain</title>
<p>Both GWAS and pathway analyses of Average Daily Gain showed different results depending on the age at which the trait was recorded, similarly to what resulted from our analysis of BW. In particular, the only GO terms in common between ADG_i and ADG_f were GO:0031175 (neuron projection development) and its associated terms; all the other 105 GO, and KEGG terms were not (<xref ref-type="sec" rid="s11">Supplementary Figure S4D</xref>). The result of the GWAS also highlighted SNPs present in wholly different BTAs (<xref ref-type="table" rid="T3">Table&#x20;3</xref>). ADG_i had only one significant SNP (also suggestively associated with BW_m) situated on BTA1 (<xref ref-type="fig" rid="F4">Figure&#x20;4</xref>), 0.2&#xa0;Mb away from gene <italic>DIRC2</italic> (also associated with BW_m) and 1.1&#xa0;Mb away from gene <italic>HSPBAP</italic>. Both loci can be in some ways considered candidate genes for growth, as also <italic>HSPBAP</italic> has already been associated with residual feed intake from birth to 12&#xa0;months (<xref ref-type="bibr" rid="B15">Cohen-Zinder et&#x20;al., 2016</xref>). One suggestively associated SNP for ADG_i on BTA4 (<xref ref-type="table" rid="T3">Table&#x20;3</xref>) was within candidate gene <italic>GRM8</italic>, associated with body size in cattle (<xref ref-type="bibr" rid="B13">Chen et&#x20;al., 2020</xref>) and eating behavior in other mammals (<xref ref-type="bibr" rid="B29">Gast et&#x20;al., 2013</xref>). Again, in agreement with what was found for BW_m (the measure of ADG_i is based on the difference between BW_m and BW_i measurement), the results of the pathway analysis for ADG_i were less extensive than for other ADG traits (<xref ref-type="fig" rid="F9">Figure&#x20;9</xref>; <xref ref-type="sec" rid="s11">Supplementary Figures S4D&#x2013;F</xref>); moreover, out of 20 pathways (<xref ref-type="sec" rid="s11">Supplementary Figure S4D</xref>), those readily associable with ADG were GO:0004629 phospholipase activity (crucial for lipid metabolism) and GO:0043124, responsible for negative regulation of l-kB kinase/NF-&#x3ba;B signaling (involved with metabolic regulation, especially in cases of overnutrition; <xref ref-type="bibr" rid="B49">Kracht et&#x20;al., 2020</xref>).</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Scatter plot representing the main groups of biological pathways enriched for average daily gain traits measured at first, half and total period of performance test (ADG_i, ADG_f, ADG_tot); the area represents the number of pathways in that group, among the total. For a detailed list of the pathways enriched by these traits see <xref ref-type="sec" rid="s11">Supplementary Figures S4D&#x2013;F</xref>.</p>
</caption>
<graphic xlink:href="fgene-12-746665-g009.tif"/>
</fig>
<p>The same trait recorded at a later age, ADG_f, showed a much greater number of results, similarly to what transpired with BW_f (<xref ref-type="fig" rid="F9">Figure&#x20;9</xref>; <xref ref-type="sec" rid="s11">Supplementary Figure S4E</xref>; <xref ref-type="table" rid="T3">Table&#x20;3</xref>). For trait ADG_f the region with the greatest number of signals was on BTA10, roughly between 50 and 60&#xa0;Mb (<xref ref-type="fig" rid="F5">Figure&#x20;5</xref>; <xref ref-type="table" rid="T3">Table&#x20;3</xref>). This region contains a QTL that has already been associated to growth in cattle (<xref ref-type="bibr" rid="B64">Mao et&#x20;al., 2016</xref>), although not in the present study. The three significant SNPs and 14 out of 16 suggestively associated SNPs were found in this region. Significant SNPs were situated within <italic>SLC12A1</italic>, <italic>CGNL1</italic> and <italic>PRTG</italic> genes (<xref ref-type="fig" rid="F5">Figure&#x20;5</xref>). While the latter two have already been associated respectively with growth (<xref ref-type="bibr" rid="B58">Londo&#xf1;o-Gil et&#x20;al., 2021</xref>) and backfat thickness in cattle (<xref ref-type="bibr" rid="B44">J&#xfa;nior et&#x20;al., 2016</xref>), <italic>SLC12A1,</italic> to our knowledge, has never been associated with growth or weight traits in cattle (but see <xref ref-type="bibr" rid="B46">Kemter et&#x20;al., 2014</xref>, for evidence in mice). However, among the suggestively associated SNPs on BTA10 (<xref ref-type="table" rid="T3">Table&#x20;3</xref>), several were within or close genes highly important for ADG, such as <italic>ALDH1A2</italic>, <italic>FBN1,</italic> and <italic>AQP9</italic> (<xref ref-type="bibr" rid="B39">Hirano et&#x20;al., 2012</xref>; <xref ref-type="bibr" rid="B56">Liu et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B58">Londo&#xf1;o-Gil et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B102">Zhang et&#x20;al., 2021</xref>). <xref ref-type="fig" rid="F9">Figure&#x20;9</xref> shows that enriched pathways spanned several macro-categories (<xref ref-type="fig" rid="F9">Figure&#x20;9</xref>; <xref ref-type="sec" rid="s11">Supplementary Figure S4E</xref>): these results suggest that, as for BW, during the late months of the first year, a complex interplay of different biological processes takes place in growing bulls. For what concerned the overlapping of our QTLs associated with ADG_f with the animal QTLdb, we identified QTLs from several studies: 28.77% associated with morphology, 21.92% associated with beef production, 19.18% associated with milk, and 8.22% associated with meat and carcass (<xref ref-type="sec" rid="s11">Supplementary Table&#x20;S2B</xref>).</p>
<p>Finally, for the total ADG, ADG_tot, the results obtained mirrored those obtained with final ADG, both in terms of significant and suggestive SNPs (on BTA10 and BTA26; <xref ref-type="table" rid="T3">Table&#x20;3</xref>) and in terms of GO terms (<xref ref-type="fig" rid="F9">Figure&#x20;9</xref>; <xref ref-type="sec" rid="s11">Supplementary Figure S4F</xref>) and candidate genes, such as <italic>SLC12A1</italic>. Interestingly, one signal reported in ADG_tot was not present in ADG_f: on BTA11, one single suggestively associated SNP was located close to two genes well known for their effect on feed intake and weight (<italic>CDKL4</italic> and <italic>MAP4K3</italic>; <xref ref-type="bibr" rid="B21">Edea et&#x20;al., 2020</xref>). Apart from this exception, our results show conclusively that total average daily gain mirrored the final part of the daily gain, i.e.,&#x20;that the last months were decisive in shaping the total weight gain trajectory of the&#x20;bulls.</p>
</sec>
</sec>
<sec id="s3-4">
<title>3.3.2 Carcass Traits</title>
<p>The main region of interest for both CF and DP traits was situated on a gene-rich region of BTA18, between 55 and 62&#xa0;Mb, where 3 significant and 9 suggestively associated SNPs allowed to locate several candidate genes (<xref ref-type="fig" rid="F6">Figure&#x20;6</xref>; <xref ref-type="table" rid="T3">Table&#x20;3</xref>). The QTL with the highest significance for CF (suggestively associated for DP) was located within candidate gene <italic>LOC513941</italic> (<xref ref-type="fig" rid="F7">Figure&#x20;7</xref>), translating into a cationic amino acid transporter 3-like. This type of transporters regulates the metabolism of cationic amino acids, a key factor for growth and beef characteristics in cattle (<xref ref-type="bibr" rid="B55">Liao et&#x20;al., 2009</xref>). Further corroboration of the importance of this metabolic pathway for CF was the enrichment of 10 GO terms (<xref ref-type="fig" rid="F10">Figure&#x20;10</xref>; <xref ref-type="sec" rid="s11">Supplementary Figure S4H</xref>), within the group of &#x201c;amino acid transport,&#x201d; such as amino acid transmembrane transporter activity (GO:0015171), and amino acid transmembrane transport (GO:0003333).</p>
<p>A second SNP in the same region (significant for DP and suggestively associated for CF; <xref ref-type="table" rid="T3">Table&#x20;3</xref>) was located within gene <italic>CCDC155</italic> (Coiled-coil domain containing 155). This gene encodes for a protein involved in dynein complex binding and actin filament organization and it has been associated with beef conformation (<xref ref-type="bibr" rid="B53">Lemos et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B36">Hardie et&#x20;al., 2017</xref>). Apart from being the main component of the cytoskeleton, actin constitutes together with myosin the myofilaments, which grant muscle cells their mobility and thus ultimately their organization and dynamics. The association of actin filaments and carcass traits was again made apparent also by the number (more than 30) and diversity of enriched GO terms related to actin (<xref ref-type="fig" rid="F10">Figure&#x20;10</xref>; <xref ref-type="sec" rid="s11">Supplementary Figures S4G,H</xref>): for example, those related to GO:0098858 (CF), actin-based cell projection; GO:0030048 (CF and DP), actin filament-based movement; GO:0070161 (CF and DP), anchoring junction; GO:0030833 regulation of actin filament polymerization; GO:0005912 (CF and DP), adherens junction (<xref ref-type="bibr" rid="B58">Londo&#xf1;o-Gil et&#x20;al., 2021</xref>). Similarly, for DP 20 terms were enriched for pathways associated with actin filament-based GO terms (<xref ref-type="sec" rid="s11">Supplementary Figure&#x20;S4G</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Scatter plot representing the main groups of biological pathways enriched for carcass traits (carcass fleshiness and dressing percentage). For a detailed list of the pathways enriched by these traits see <xref ref-type="sec" rid="s11">Supplementary Figures S4G,H</xref>.</p>
</caption>
<graphic xlink:href="fgene-12-746665-g010.tif"/>
</fig>
<p>In the same region of BTA18, our analysis found two more candidate genes with a known association with size and growth traits, all with one or more suggestively associated SNPs for CF. <italic>Siglec-5</italic> is a gene commonly found in GWAS concerning cattle size and growth traits; its over-expression indicates a deficiency of leptin, and thus longer gestation time and bigger fetuses (<xref ref-type="bibr" rid="B36">Hardie et&#x20;al., 2017</xref>). <italic>KLK12</italic> is a kallikrein gene, a serin protease associated with food intake and feed efficiency at the transcript level in backfat and rumen (<xref ref-type="bibr" rid="B47">Kern et&#x20;al., 2016</xref>). <italic>LOC101904435</italic> and <italic>ZNF784</italic> are zinc-finger proteins: the former is suggestively associated with both CF and DP; the latter only with CF but is linked to food intake in cattle (<xref ref-type="bibr" rid="B72">Olivieri et&#x20;al., 2016</xref>).</p>
<p>Finally, three more SNPs (one significant both for CF and DP and two SNPs suggestively associated for DP) were situated within <italic>NLRP2</italic> gene (NACHT, LRR and PYD domains-containing protein 2), a key player in early embryogenesis, maternal effects, immune response, and inflammasome (<xref ref-type="bibr" rid="B75">Peng et&#x20;al., 2012</xref>).</p>
<p>Taken together, these results about carcass traits have numerous substantial implications. Firstly, we highlight how the 57&#x2013;62&#xa0;Mb region on BTA18 can truly be considered a hotspot of genetic diversity in this breed (as it is for several others; <xref ref-type="bibr" rid="B31">Grigoletto et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B77">Purfield et&#x20;al., 2020</xref>). Secondly, as expected with strongly correlated traits, CF and DP shared part of their genetic architecture, as significant SNPs for the two traits are mostly in the same region. Only another region was shared, as both traits reported two suggestively associated SNPs close to each other on BTA28 (<xref ref-type="table" rid="T3">Table&#x20;3</xref>). The region encompasses the <italic>PHYHIPL</italic> gene, which influences feed efficiency (<xref ref-type="bibr" rid="B1">Abo-Ismail et&#x20;al., 2018</xref>), whose link with carcass traits has recently been established (<xref ref-type="bibr" rid="B85">Seabury et&#x20;al., 2017</xref>).</p>
<p>CF was associated only with two more SNPs, one on BTA12 and the other on BTA14 (<xref ref-type="table" rid="T3">Table&#x20;3</xref>). While the former was more than 1&#xa0;Mb far away from any annotated functional element, the latter fell within <italic>SAMD12</italic>, a gene already found to have a significant dominance signal to chuck roll and be associated with 18-months weight in Simmental (<xref ref-type="bibr" rid="B103">Zhuang et&#x20;al., 2020</xref>). On the other hand, DP had an almost significant signal on BTA1: the gene closest to the SNP was <italic>SIM2</italic>, already known to be associated with carcass quality, differentiation of <italic>longissimus,</italic> and <italic>semimembranosus</italic> muscle (<xref ref-type="bibr" rid="B17">De Las Heras-Saldana et&#x20;al., 2019</xref>; <xref ref-type="bibr" rid="B21">Edea et&#x20;al., 2020</xref>). To conclude, the strongest of the remaining suggestively associated signals for DP came from BTA4, within <italic>LOC112446424</italic>, a non-coding RNA close to candidate gene <italic>SLC13A4</italic>, a cationic canal important both for muscle traits in sheep and growth and development in cattle (<xref ref-type="bibr" rid="B12">Carvalho et&#x20;al., 2020</xref>; <xref ref-type="bibr" rid="B45">Kaur et&#x20;al., 2020</xref>).</p>
<p>While, as we mentioned, results from pathway analyses (represented in <xref ref-type="fig" rid="F10">Figure&#x20;10</xref>; <xref ref-type="sec" rid="s11">Supplementary Figures S4G,H</xref>), and GWAS were often complementary, pathway analyses for both CF and DP resulted in the enrichment of a robust number of pathways related to neuron activity, not really pointed out by GWAS results. Such pathways referred to the regulation of neuroblast proliferation (GO:1902692 for CF), chemical synaptic transmission (GO:0007268 for CF), neurogenesis (GO:0022008 for CF and DP), neuron projection (GO:0043005 for DP), synapse (GO:0045202 for DP) and especially synaptic transmission, glutamatergic (GO:0035249 for DP and, to a lesser extent,&#x20;CF).</p>
<p>Glutamatergic synapses guide the development of growth neurons and regulate feeding motivation in the hippocampus (<xref ref-type="bibr" rid="B42">Huang et&#x20;al., 2017</xref>). The relation between feeding motivation and nutrient intake is crucial to maintaining energy intake and storage (<xref ref-type="bibr" rid="B43">Illius et&#x20;al., 2002</xref>). Such relationship is complex, involving leptin (see above-mentioned gene <italic>Siglec-5</italic>), and the NPY/AgRP system, which makes food intake-stimulating peptides, which can dramatically influence metabolism and consequently carcass traits (<xref ref-type="bibr" rid="B85">Seabury et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B23">Ruud et&#x20;al., 2020</xref>). Among the genes more often represented in the glutamatergic synapse network enriched in our analysis, several were linked with food intake and metabolism (for example, <italic>GRM8</italic>), eating behavior (<italic>GRIK3</italic>), insulin secretion, and lipolysis (<italic>ADCY1</italic>, <xref ref-type="bibr" rid="B72">Olivieri et&#x20;al., 2016</xref>). In support of this hypothesis, we also found out that the enriched KEGG term for DP Glutamatergic synapse (KEGG:04724) belonged to the same group of Circadian entrainments (KEGG:04713) and Apelin signaling pathway (KEGG:04371), both also enriched. Circadian rhythm has a strong connection with feeding behavior (<xref ref-type="bibr" rid="B70">Mrode et&#x20;al., 2019</xref>), and apelin is a peptide connected with food intake and lipid metabolism (<xref ref-type="bibr" rid="B8">Bertrand et&#x20;al., 2015</xref>). The same was true also for CF, with KEGG term Hippo signaling pathway (KEGG:04390) appearing multiple times (<xref ref-type="sec" rid="s11">Supplementary Figure S4H</xref>). This might reflect a greater role of regulatory systems of feeding motivation, nutrient intake, and storage in shaping the variability of these traits. On the other hand, glutamatergic synapses are also involved in physiological responses to stressors and environmental changes. QTLs from the QTLdb associated to our candidate regions for these two traits are reported in <xref ref-type="sec" rid="s11">Supplementary Tables&#x20;S2C,D</xref>.</p>
</sec>
<sec id="s3-5">
<title>3.4 Traits and Time Stratification</title>
<p>The results of our study can help frame the genetic architecture of our between-traits correlation, including such traits that are measures of the same trait in different time points or intervals (the three BW and the three ADG). Within BW, we demonstrated how also from the genomic point of view the weight at the half of the PT was underlined by a mixture of QTLs that were also found either at the start or at the end of the PT. On the other hand, no common SNPs resulted significant both for BW_i and BW_f, and the number of enriched pathways in common was very low (<xref ref-type="sec" rid="s11">Supplementary Figures S4A&#x2013;C</xref>; <xref ref-type="table" rid="T3">Table&#x20;3</xref>). For what concerns ADG, there was also a deep difference between the signals found for ADG_i and ADG_f, with the latter reflecting much more closely the total ADG, and again no SNPs were shared by ADG_i and ADG_f (<xref ref-type="table" rid="T3">Table&#x20;3</xref>). Moreover, the lowest number of significant SNPs and pathways for BW was at BW_m, and for ADG was ADG_i, with these two traits sharing a temporal correspondence.</p>
<p>Interestingly, we found many genes in common between measures of different traits taken at the same time. For example, both SNPs on BTA7 and BTA1 were significant both for BW_m and ADG_i. Also, one SNP on BTA26 was suggestively associated both for BW_f and ADG_f (<xref ref-type="table" rid="T3">Table&#x20;3</xref>).</p>
<p>These results have several implications: firstly, from an economic point of view, they show that the timing of the trait measurement is crucial. Different life stages can result in different genetic signals; if used for a selection program, this can have an economic and conservation impact. While this is of course expected, given the succession of different biological processes during development, very few studies include such a time stratification in their analysis of productive traits. Even if such a process is difficult to infer, our results show that complexity&#x2014;intended as the number of functional elements, their diversity, and pathways involved&#x2014;might increase with&#x20;age.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Conclusion and Implications for Local Breeds</title>
<p>There are four main takeaways that could be extracted from our study. Firstly, our analysis detected a significant signal for body weight (recorded when bulls were 1&#xa0;month old) on BTA9; a significant signal of average daily gain (recorded at 7&#xa0;months of age) on BTA1 and three significant signals of average daily gain (recorded at 1&#xa0;year of age) on BTA10. Three significant signals for carcass traits (one signal each for dressing percentage and carcass fleshiness, plus one in common between the two) were all situated on BTA18.</p>
<p>Secondly, the variety of GO terms and functional elements involved in the beef-related traits under study was staggering. We could detect in multiple traits key roles of pathways related to actin, lipid transport, and several types of channels. Moreover, our analysis detected&#x2014;alongside many genes often found in relation to the investigated traits&#x2014;multiple pathways, genes, and functional elements of unclear attribution, for example with links to early development and maternal effect (such as <italic>TBX18, NLRP2, SLCA12</italic>), or to pathogen resistance (<italic>MBL2</italic>). This issue underlines how even research of well-studied traits can turn out unexpected results, especially if performed in rarely investigated breeds. In additions, the fact that Rendena has been bred not only for the considered traits, but also for antagonistic could have added a layer of complexity to our results.</p>
<p>Thirdly, we detected for almost all traits several pathways and genes linked with neuroblast development and synaptic transmission, especially (but not exclusively) glutamatergic, which added to the intricacy of the gene networks involved in these traits. Pathways linked to both neuroblast proliferation and synaptic communication have been tied in recent years to selection for environmental condition (<xref ref-type="bibr" rid="B79">Rowan et&#x20;al., 2020</xref>) differences in behavioral temperament (<xref ref-type="bibr" rid="B33">Guti&#xe9;rrez-Gil et&#x20;al., 2008</xref>) and adaptability (<xref ref-type="bibr" rid="B90">Taye et&#x20;al., 2017</xref>).</p>
<p>Finally, as discussed above, we found that even when focusing on widely investigated traits the influence of time stratification was fundamental. We argue that future studies on this issue should include an analysis of time stratification of their trait to fully report their complexity during development.</p>
<p>A greater diffusion of adaptable and diversified local breeds, with characteristics allowing for lower environmental impact, better survival and greater production in challenging environments might be crucial in staving off the negative effects of intensive beef farming. To achieve this, however, there is urgent need for further studies of the genetic basis of productive and life-history trait, which are still lacking. Moreover, these studies could help uncovering several novel gene networks associations and pathways, thanks to the less intensive selection for production occurring in local breed. Finally, they would help to map the diversity of such breeds, in an unvaluable help for their conservation.</p>
</sec>
</body>
<back>
<sec id="s5">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6">
<title>Ethics Statement</title>
<p>Ethical review and approval was not required for the animal study because this study did not require any specific ethics permit. The cattle sampled belonged to commercial private herds and were not experimentally manipulated. Samples were collected by technicians from the Breeders Association of Rendena.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>Conceptualization, RM, BT, and EM; methodology, BT and EM; formal analysis, EM and BT; support to analysis SP, investigation, SP, BT, CS, RM, and EM; resources, RM; data curation, EM and RM; writing original draft preparation, EM and BT writing&#x2014;review and editing SP, CS, and RM. All authors have read and agreed to the published version of the manuscript.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>The study was funded by the DUALBREEDING project (CUP J61J18000030005) and by BIRD183281.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<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="s10">
<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>
<ack>
<p>Authors are grateful to National Breeders Association of Rendena cattle breed (ANARE) for data support.</p>
</ack>
<sec id="s11">
<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.2021.746665/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fgene.2021.746665/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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