<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing with OASIS Tables v3.0 20080202//EN" "https://jats.nlm.nih.gov/nlm-dtd/publishing/3.0/journalpub-oasis3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">AAB</journal-id><journal-title-group>
    <journal-title>Archives Animal Breeding</journal-title>
    <abbrev-journal-title abbrev-type="publisher">AAB</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Arch. Anim. Breed.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2363-9822</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/aab-69-563-2026</article-id><title-group><article-title>Genome-wide association study of gestation length in German Holsteins</article-title><alt-title>Genome-wide association study of gestation length</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Zölch</surname><given-names>Maximilian</given-names></name>
          <email>maximilian.zoelch@uni-hohenheim.de</email>
        <ext-link>https://orcid.org/0009-0007-0721-2312</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Haas</surname><given-names>Valentin P.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9651-1205</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Schmidtmann</surname><given-names>Christin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Alkhoder</surname><given-names>Hatem</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Tetens</surname><given-names>Jens</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Bennewitz</surname><given-names>Jörn</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Animal Science, University of Hohenheim, 70599 Stuttgart, Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>IT Solutions for Animal Production (vit), 27283 Verden, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Department of Animal Sciences, University of Goettingen, 37077, Göttingen, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Maximilian Zölch (maximilian.zoelch@uni-hohenheim.de)</corresp></author-notes><pub-date><day>6</day><month>October</month><year>2026</year></pub-date>
      
      <volume>69</volume>
      <issue>4</issue>
      <fpage>563</fpage><lpage>568</lpage>
      <history>
        <date date-type="received"><day>26</day><month>March</month><year>2026</year></date>
           <date date-type="rev-recd"><day>10</day><month>August</month><year>2026</year></date>
           <date date-type="accepted"><day>17</day><month>September</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Maximilian Zölch et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://aab.copernicus.org/articles/69/563/2026/aab-69-563-2026.html">This article is available from https://aab.copernicus.org/articles/69/563/2026/aab-69-563-2026.html</self-uri><self-uri xlink:href="https://aab.copernicus.org/articles/69/563/2026/aab-69-563-2026.pdf">The full text article is available as a PDF file from https://aab.copernicus.org/articles/69/563/2026/aab-69-563-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e139">Gestation length (GL) is important in seasonal calving systems and in the calving trait complex, because it affects traits such as stillbirth (SB) and calving ease. Utilizing imputed high-density genotypes from 34 497 German Holstein cows, this study aimed to identify genomic regions associated with GL. For this, a genome-wide association study (GWAS) was conducted, and the results were interpreted by searching for previously reported adjacent quantitative trait loci (QTLs).</p>

      <p id="d2e142">Four GL traits were analyzed: the direct calf effects on GL in first (GL_d1) and second (GL_d2) parity, along with the maternal effects on GL in first (GL_m1) and second parity (GL_m2). GWAS of direct effects on GL resulted in significant variants on BTA14, 18, and 19 for GL_d1, and on BTA18 and BTA19 for GL_d2. Regarding the maternal effect, only one variant on BTA19 was significant in the second parity. Adjacent to significant variants were known QTLs for several reproduction traits including SB.</p>

      <p id="d2e145">Overall, the study provides insights into the complex genetic architecture of GL in German Holstein cattle. The identified genomic regions are supported by previous studies and thereby strengthen the basis for future research.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Bundesanstalt für Landwirtschaft und Ernährung</funding-source>
<award-id>28N1-074-04</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e157">Gestation length (GL) is a relevant aspect of fertility in dairy cows and is related to traits such as calving ease, dystocia, and stillbirth (SB) (Stachowicz et al., 2023). GL is characterized by an intermediate optimum, as shortened GL reduces calf viability, whereas overly prolonged GL increases birth weight and consequently the risk of calving difficulties (Vieira-Neto et al., 2017). Measured by the risk of perinatal mortality, an overly shortened GL is of higher relevance (Jourdain et al., 2024). Zölch et al. (2026a) have discovered a significant global and local genetic correlation between GL and SB. Consequently, a better understanding of the genetic architecture behind GL could support the breeding efforts for decreasing SB rates by utilizing locally segmented correlations pointing in opposite directions. Genome-wide association studies (GWASs) on GL have been performed, among others, for the Holstein population in Canada (Aponte et al., 2024), France (Jourdain et al., 2024), and Ireland (Purfield et al., 2019). However, these studies followed a window-based approach or were limited by lower marker density (50 K) or the sole inclusion of sires, preventing the analysis of maternal effects. To our knowledge, using imputed high-density (HD) genotypes, no single-marker GWAS for direct and maternal effects on GL has been published.</p>
      <p id="d2e160">Therefore, our study aimed to improve the understanding of the genetic architecture behind the direct and maternal effects on GL in German Holsteins. To this end, we conducted a single-marker GWAS to identify trait-associated single nucleotide polymorphisms (SNPs) and then linked these variants to known quantitative trait loci (QTLs).</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Data description</title>
      <p id="d2e178">The study included 34 497 German Holstein dairy cows, initially selected by Schneider et al. (2023). Their genotypic data were provided by Vereinigte Informationssysteme Tierhaltung w.V. (VIT) (Verden, Germany) based on 50 K or low-density SNP chips with a subsequent imputation to the 50 k level (Segelke et al., 2012). All genotype preparation was performed with PLINK (version 2.00a5.12; Chang et al., 2015). SNPs with a minor allele frequency (MAF) <inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.01</mml:mn></mml:mrow></mml:math></inline-formula> were removed from the 50 K dataset, reducing the number of available SNPs from 44 747 to 44 126. Based on 1278 Holstein cows genotyped for 585 517 markers, Križanac et al. (2025) further imputed these genotypes to HD using BEAGLE version 5.1 for phasing and BEAGLE version 5.2 for the imputation itself (Browning and Browning, 2007; Browning et al., 2018). The resulting HD genotypes were filtered for MAF <inline-formula><mml:math id="M2" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.03 and deviation from the Hardy–Weinberg equilibrium (<inline-formula><mml:math id="M3" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), resulting in 479 759 remaining SNPs. The SNP base pair positions follow the ARS-UCD1.2 reference genome assembly.</p>
      <p id="d2e220">Direct and maternal GL breeding values were estimated simultaneously by VIT using a single-step SNP BLUP implemented in MiX99 (MiX99 Development Team, 2024). The underlying variance components were obtained from the study by Haile-Mariam and Pryce (2019), as estimates based on German Holsteins were not available. The subsequent deregression followed the method described in Liu and Masuda (2021). The deregressed proofs (DRPs) differentiate between the calf's direct effect on GL in the first (GL_d1) and second gestation (GL_d2), as well as the cow's maternal effect in the first (GL_m1) and second gestation (GL_m2). The trait-specific number of observations was 12 658 for GL_d1, 6141 for GL_d2, 31 007 for GL_m1, and 25 112 for GL_m2.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Statistical analysis</title>
      <p id="d2e231">RStudio (version 2025.5.0.496) with R (version 4.4.0) (R Core Team, 2024; Posit team, 2025) was used for data processing and visualization.</p>
      <p id="d2e234">Single-marker GWAS was conducted in GCTA (version 1.94.1; Yang et al., 2011) for the four GL traits using the following mixed linear model:

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M4" display="block"><mml:mrow><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>+</mml:mo><mml:mi>b</mml:mi><mml:mi mathvariant="bold-italic">x</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="bold">Z</mml:mi><mml:mi mathvariant="bold-italic">g</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="bold-italic">e</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          with vector <inline-formula><mml:math id="M5" display="inline"><mml:mi mathvariant="bold-italic">y</mml:mi></mml:math></inline-formula> containing the DRPs for GL_d1, GL_d2, GL_m1, or GL_m2. 1 <inline-formula><mml:math id="M6" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula> represents the vector of 1 multiplied by the intercept <inline-formula><mml:math id="M7" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula>. The <inline-formula><mml:math id="M8" display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula> denotes the fixed additive genetic effect of the candidate SNP to be tested for association, and <inline-formula><mml:math id="M9" display="inline"><mml:mi mathvariant="bold-italic">x</mml:mi></mml:math></inline-formula> incorporates the genotype vector coded as 0, 1, 2. The vector <inline-formula><mml:math id="M10" display="inline"><mml:mi mathvariant="bold-italic">g</mml:mi></mml:math></inline-formula> denotes the random polygenic effect with an assumed distribution of <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">g</mml:mi><mml:mo>∼</mml:mo><mml:mi>N</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:msub><mml:mi mathvariant="bold">G</mml:mi><mml:mi mathvariant="normal">HD</mml:mi></mml:msub><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>g</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. The HD genotypes were used both for constructing the genetic relationship matrix (GRM) <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold">G</mml:mi><mml:mi mathvariant="normal">HD</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> following the method of Yang et al. (2010) and the GWAS. <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">g</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> denotes the additive genetic variance, and <inline-formula><mml:math id="M14" display="inline"><mml:mi mathvariant="bold">Z</mml:mi></mml:math></inline-formula> is an incidence matrix. The <inline-formula><mml:math id="M15" display="inline"><mml:mi mathvariant="bold-italic">e</mml:mi></mml:math></inline-formula> is the residual with a distribution of <inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mi mathvariant="bold-italic">e</mml:mi><mml:mo>∼</mml:mo><mml:mi>N</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="bold">I</mml:mi><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>e</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M17" display="inline"><mml:mi mathvariant="bold">I</mml:mi></mml:math></inline-formula> represents an identity matrix, and <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>e</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> is the residual variance.</p>
      <p id="d2e434">To evaluate the extent of false-positive inflation in the GWAS results, the genomic inflation factor <inline-formula><mml:math id="M19" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">GC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was calculated as the ratio of the median of the observed chi-square test statistics to the expected median (van den Berg et al., 2019). Two significance thresholds were applied: a Bonferroni‐corrected genome-wide significance threshold of <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≤</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">0.05</mml:mn><mml:mtext>number of SNPs</mml:mtext></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula> and a suggestive threshold of <inline-formula><mml:math id="M21" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The GWAS results were visualized as Manhattan plots with the R package qqman (Turner, 2018). The R package GALLO was applied to the genomic regions <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> kb around genome-wide significant SNPs to annotate the results with known QTL (Fonseca et al., 2020). GALLO utilized the Cattle QTL Database release 56 as a source for the QTL (Hu et al., 2023).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
      <p id="d2e505">The Manhattan plots of the GL traits are shown in Figs. 1 and 2. The GWAS on GL resulted in Bonferroni-significant variants for all GL traits, except GL_m1. Associations for GL_d2 exist on BTA18 (one variant) and 19 (41 variants). For GL_d1, the same associations were observed plus three variants on BTA14, 15 more on BTA18, and 29 more on BTA19. Only one variant on BTA19 was significantly associated with GL_m2. A list of all Bonferroni-significant variants is provided in Table S1 in the Supplement (Zölch et al., 2026b). The inflation factor <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mi mathvariant="normal">GC</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was close to 1 for all GL traits (not shown).</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e521">Manhattan plots from GWAS of gestation length (GL) for the direct effect in the first (GL_d1 – <bold>a</bold>) and second (GL_d2 – <bold>b</bold>) parity. The blue line indicates the nominal significance threshold (<inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and the red line the Bonferroni-corrected significance threshold (<inline-formula><mml:math id="M25" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1.04219</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p></caption>
        <graphic xlink:href="https://aab.copernicus.org/articles/69/563/2026/aab-69-563-2026-f01.png"/>

      </fig>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e582">Manhattan plots from GWAS of gestation length (GL) for the maternal effect in first (GL_m1 – <bold>a</bold>) and second (GL_m2 – <bold>b</bold>) parity. The blue line indicates nominal significance threshold (<inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) and the red line the Bonferroni-corrected significance threshold (<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1.04219</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>).</p></caption>
        <graphic xlink:href="https://aab.copernicus.org/articles/69/563/2026/aab-69-563-2026-f02.png"/>

      </fig>

      <p id="d2e642">Table 1 contains the Cattle QTL Database entries within the 25 kb interval around significant SNPs for GL_d1 and GL_d2 in the category reproduction. The highest number was reported for QTLs for calving ease, SB, and age at first calving. In addition, five previously reported QTLs for GL were adjacent to variants associated with GL_d1. Consistent with the higher number of SNPs associated with GL_d1, significantly more QTLs were in proximity to SNPs associated with GL_d1 than to those with GL_d2. For all QTLs, the initial study, genomic position, and flanking markers are provided in Table S2 in the Supplement (Zölch et al., 2026b).</p>

<table-wrap id="T1"><label>Table 1</label><caption><p id="d2e648">Counts of Cattle-QTL-Database-listed reproduction QTLs found within <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> kb of Bonferroni-significant GWAS variants for the direct effect on gestation length (GL) in the first (GL_d1) and second (GL_d2) parity.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Trait</oasis:entry>
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center">QTL count </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">GL_d1</oasis:entry>
         <oasis:entry colname="col3">GL_d2</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Age at first calving</oasis:entry>
         <oasis:entry colname="col2">7</oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Age at puberty</oasis:entry>
         <oasis:entry colname="col2">1</oasis:entry>
         <oasis:entry colname="col3">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Birth index</oasis:entry>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calf size</oasis:entry>
         <oasis:entry colname="col2">4</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calving ability</oasis:entry>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Calving ease</oasis:entry>
         <oasis:entry colname="col2">27</oasis:entry>
         <oasis:entry colname="col3">6</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Conception rate</oasis:entry>
         <oasis:entry colname="col2">3</oasis:entry>
         <oasis:entry colname="col3">1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Gestation length</oasis:entry>
         <oasis:entry colname="col2">5</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Pregnancy rate</oasis:entry>
         <oasis:entry colname="col2">2</oasis:entry>
         <oasis:entry colname="col3">0</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Stillbirth</oasis:entry>
         <oasis:entry colname="col2">16</oasis:entry>
         <oasis:entry colname="col3">2</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d2e827">The GWAS results point out several significant genomic regions affecting GL in German Holsteins, underlining the complex genetic architecture of GL. Notably, all SNPs were associated with direct effects on GL, except for one that was associated with GL_m2. This finding aligns with heritabilities estimated by Haile-Mariam and Pryce (2019). Their heritability estimates of GL direct were 0.28 in heifers and 0.36 in cows but only 0.04 for maternal GL. When considered together, this indicates a higher genetic effect of the calf on GL than of the dam.</p>
      <p id="d2e830">More SNPs were significantly associated with GL_d1 than with GL_d2. The opposite might be expected, based on the higher heritability of GL_d2. Comparing their correlation to SB, only GL_d1 showed a significant moderate negative correlation (Zölch et al., 2026a). The most probable contributor to this difference is the sample size. The number of available DRPs for GL_d2 was more than 50 % smaller compared to GL_d1. If a larger dataset of second-parity cows becomes available in the future, it may be possible to determine whether a genomic difference between GL_d1 and GL_d2 exists.</p>
      <p id="d2e833">The applied mixed linear model-based association analysis (MLMA) is rather conservative, as the SNP effect is modeled as both a fixed and a random effect (Yang et al., 2014). Although this can be mitigated by excluding the chromosome of the SNP tested for association from the GRM, it often requires the inclusion of additional principal components to adequately account for population structure (Schneider et al., 2024). As the genomic inflation factors in our analysis were close to 1 across all traits, suggesting little to no genomic inflation or deflation, we consider MLMA as suitable for GWAS of GL.</p>
      <p id="d2e836">The validity of the identified genomic regions is further supported by the QTL mapping, which places them in the context of previous studies. The search for QTL within <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> kb around genome-wide significant SNPs was justified by the results of Qanbari et al. (2010), who reported the highest linkage disequilibrium for German Holsteins in this range. Fang et al. (2019) have already reported a QTL on BTA14 affecting GL, and Maltecca et al. (2011) found two QTLs on BTA18 and BTA19. The SNP rs109478645 (BTA18:57137302), originally reported by Cole et al. (2009), showed the strongest association to direct GL in the analysis of Maltecca et al. (2011). This SNP was not part of our HD genotypes, but rs136803819 (BTA18: 57138190), which was significant for GL_d1 in our study, is located near to it (888 bp). Both SNPs are within the LOC618463 gene (BTA18:57124819–57141257), coding for sialic acid-binding Ig-like lectin 5 (SIGLEC5). Cole et al. (2009) proposed that elevated SIGLEC5 reduces the pool of free leptin, which in turn contributes to increased GL. This hypothesis is consistent with Puckowska et al. (2019), who reported an effect of SIGLEC5 on calving interval and with human data showing leptin's influence on gestation (Branham et al., 2022).</p>
      <p id="d2e850">In addition, known QTLs for calving ease on BTA18 and BTA19 are in proximity to our GWAS results (Sahana et al., 2011; Abo-Ismail et al., 2017; Müller et al., 2017). Similarly, QTLs for SB are located on BTA18 and BTA19 – close to significant SNPs (Sahana et al., 2011; Abo-Ismail et al., 2017; Wu et al., 2017; Jakimowicz et al., 2022). BTA18 also harbors QTLs for calving ability (Abo-Ismail et al., 2017), pregnancy rate (Parker Gaddis et al., 2016), calf size, and birth index (Sahana et al., 2011). Found on BTA19 are QTLs for age at first calving (Prakapenka et al., 2023). The adjacent QTLs show that genomic regions significantly associated with GL frequently overlap with loci influencing other fertility traits, such as SB and calving ease. Currently, GL is not part of the routine breeding value estimation. Based on its relevance for fertility traits, especially the direct effect on GL, this should be implemented into genomic selection. Existing literature and our GWAS results can provide the starting point for the genetic improvement of GL.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e862">In conclusion, we were able to identify GL-associated SNPs and link them to adjacent, previously published QTLs. In addition to GL, these QTLs also affect other calving traits, such as SB and calving ease. This relationship among traits highlights the importance of GL for fertility and supports our recent findings on local genetic correlations between GL and SB. Furthermore, the detected GL-associated genomic regions could be used for genomic selection and to filter results, e.g., in subsequent gene expression analyses. For this purpose, the focus should be on the direct effect on GL, as a higher genetic potential of change is to be expected.</p>
</sec>

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

      <p id="d2e869">The data are the property of the breeding organization and therefore cannot be made available to the public.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e872">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/aab-69-563-2026-supplement" xlink:title="zip">https://doi.org/10.5194/aab-69-563-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e882">Conceptualization: MZ, VH, and JB. Data curation: MZ, CS, and HA. Investigation: MZ. Resources: CS and HA. Funding acquisition: JB. Supervision: VH and JB. Visualization: MZ. Writing (original draft preparation): MZ. Writing (review and editing): VH, CS, JT, and JB.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e889">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="specialsection"><title>Ethical statement</title>
    

      <p id="d2e897">No human or animal subjects were used, so this analysis did not require approval by an institutional animal care and use committee or institutional review board.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e903">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e910">The genotype and phenotype data analyzed in this study are the property of the German Holstein breeding organizations organized within the Bundesverband Rind und Schwein e.V. We thank all participating organizations. The authors acknowledge support from the state of Baden-Württemberg through bwHPC.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e916">This work is financially funded by the Federal Ministry of Agriculture, Food and Regional Identity (BMLEH) based on a decision of the Parliament of the Federal Republic of Germany, granted by the Federal Office for Agriculture and Food (BLE), grant no. 28N1-074-04. Publishing fees supported by Funding Programme Open Access Publishing of University of Hohenheim.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e923">This paper was edited by Antke-Elsabe Freifrau von Tiele-Winckler and reviewed by Majid Khansefid and one anonymous referee.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><mixed-citation>Abo-Ismail, M. K., Brito, L. F., Miller, S. P., Sargolzaei, M., Grossi, D. A., Moore, S. S., Plastow, G., Stothard, P., Nayeri, S., and Schenkel, F. S.: Genome-wide association studies and genomic prediction of breeding values for calving performance and body conformation traits in Holstein cattle, Genet. Sel. Evol., 49, 82, <ext-link xlink:href="https://doi.org/10.1186/s12711-017-0356-8" ext-link-type="DOI">10.1186/s12711-017-0356-8</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><mixed-citation>Aponte, P. F. C., Carneiro, P. L. S., Araujo, A. C., Pedrosa, V. B., Fotso-Kenmogne, P. R., Silva, D. A., Miglior, F., Schenkel, F. S., and Brito, L. F.: Investigating the genomic background of calving-related traits in Canadian Jersey cattle, J. Dairy Sci., 107, 11195–11213, <ext-link xlink:href="https://doi.org/10.3168/jds.2024-24768" ext-link-type="DOI">10.3168/jds.2024-24768</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><mixed-citation>Branham, K. K. R., Sherman, E., Golzy, M., Drobnis, E. Z., and Schulz, L. C.: Association of serum leptin at 24–28 weeks gestation with initiation and progression of labor in women, Sci. Rep., 12, 16016, <ext-link xlink:href="https://doi.org/10.1038/s41598-022-19868-0" ext-link-type="DOI">10.1038/s41598-022-19868-0</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><mixed-citation>Browning, B. L., Zhou, Y., and Browning, S. R.: A One-Penny Imputed Genome from Next-Generation Reference Panels, Am. J. Hum. Genet., 103, 338–348, <ext-link xlink:href="https://doi.org/10.1016/j.ajhg.2018.07.015" ext-link-type="DOI">10.1016/j.ajhg.2018.07.015</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><mixed-citation>Browning, S. R. and Browning, B. L.: Rapid and accurate haplotype phasing and missing-data inference for whole-genome association studies by use of localized haplotype clustering, Am. J. Hum. Genet., 81, 1084–1097, <ext-link xlink:href="https://doi.org/10.1086/521987" ext-link-type="DOI">10.1086/521987</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><mixed-citation>Chang, C. C., Chow, C. C., Tellier, L. C., Vattikuti, S., Purcell, S. M., and Lee, J. J.: Second-generation PLINK: rising to the challenge of larger and richer datasets, GigaScience, 4, 7, <ext-link xlink:href="https://doi.org/10.1186/s13742-015-0047-8" ext-link-type="DOI">10.1186/s13742-015-0047-8</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><mixed-citation>Cole, J. B., VanRaden, P. M., O'Connell, J. R., van Tassell, C. P., Sonstegard, T. S., Schnabel, R. D., Taylor, J. F., and Wiggans, G. R.: Distribution and location of genetic effects for dairy traits, J. Dairy Sci., 92, 2931–2946, <ext-link xlink:href="https://doi.org/10.3168/jds.2008-1762" ext-link-type="DOI">10.3168/jds.2008-1762</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><mixed-citation>Fang, L., Jiang, J., Li, B., Zhou, Y., Freebern, E., Vanraden, P. M., Cole, J. B., Liu, G. E., and Ma, L.: Genetic and epigenetic architecture of paternal origin contribute to gestation length in cattle, Commun. Biol., 2, 100, <ext-link xlink:href="https://doi.org/10.1038/s42003-019-0341-6" ext-link-type="DOI">10.1038/s42003-019-0341-6</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><mixed-citation>Fonseca, P. A. S., Suárez-Vega, A., Marras, G., and Cánovas, Á.: GALLO: An R package for genomic annotation and integration of multiple data sources in livestock for positional candidate loci, GigaScience, 9, <ext-link xlink:href="https://doi.org/10.1093/gigascience/giaa149" ext-link-type="DOI">10.1093/gigascience/giaa149</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><mixed-citation>Haile-Mariam, M. and Pryce, J. E.: Genetic evaluation of gestation length and its use in managing calving patterns, 102, 476–487, <ext-link xlink:href="https://doi.org/10.3168/jds.2018-14981" ext-link-type="DOI">10.3168/jds.2018-14981</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><mixed-citation>Hu, Z.-L., Park, C. A., and Reecy, J. M.: A combinatorial approach implementing new database structures to facilitate practical data curation management of QTL, association, correlation and heritability data on trait variants, Database (Oxford), 2023, <ext-link xlink:href="https://doi.org/10.1093/database/baad024" ext-link-type="DOI">10.1093/database/baad024</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><mixed-citation>Jakimowicz, M., Szyda, J., Zarnecki, A., Jagusiak, W., Morek-Kopeć, M., Kosińska-Selbi, B., and Suchocki, T.: Genome-Wide Genomic and Functional Association Study for Workability and Calving Traits in Holstein Cattle, Animals (Basel), 12, <ext-link xlink:href="https://doi.org/10.3390/ani12091127" ext-link-type="DOI">10.3390/ani12091127</ext-link>, 2022.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><mixed-citation>Jourdain, J., Capitan, A., Saintilan, R., Hozé, C., Fouéré, C., Fritz, S., Boichard, D. A., and Barbat, A.: Genetic parameters, genome-wide association study, and selection perspective on gestation length in 16 French cattle breeds, J. Dairy Sci., 107, 8157–8169, <ext-link xlink:href="https://doi.org/10.3168/jds.2023-24632" ext-link-type="DOI">10.3168/jds.2023-24632</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><mixed-citation>Križanac, A.-M., Reimer, C., Heise, J., Liu, Z., Pryce, J. E., Bennewitz, J., Thaller, G., Falker-Gieske, C., and Tetens, J.: Sequence-based GWAS in 180,000 German Holstein cattle reveals new candidate variants for milk production traits, Genet. Sel. Evol., 57, 3, <ext-link xlink:href="https://doi.org/10.1186/s12711-025-00951-9" ext-link-type="DOI">10.1186/s12711-025-00951-9</ext-link>, 2025.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><mixed-citation> Liu, Z. and Masuda, Y.: A deregression method for single-step genomic model using all genotype data, Interbull Bulletin, 56, 41–51, 2021.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><mixed-citation>Maltecca, C., Gray, K. A., Weigel, K. A., Cassady, J. P., and Ashwell, M.: A genome-wide association study of direct gestation length in US Holstein and Italian Brown populations, Anim. Genet., 42, 585–591, <ext-link xlink:href="https://doi.org/10.1111/j.1365-2052.2011.02188.x" ext-link-type="DOI">10.1111/j.1365-2052.2011.02188.x</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><mixed-citation>MiX99 Development Team: MiX99: A software package for solving large mixed, Natural Resources Institute Finland (Luke), Jokioinen, Finland, <uri>http://www.luke.fi/mix99</uri> (last access: 30 September 2026), 2024.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><mixed-citation>Müller, M.-P., Rothammer, S., Seichter, D., Russ, I., Hinrichs, D., Tetens, J., Thaller, G., and Medugorac, I.: Genome-wide mapping of 10 calving and fertility traits in Holstein dairy cattle with special regard to chromosome 18, J. Dairy Sci., 100, 1987–2006, <ext-link xlink:href="https://doi.org/10.3168/jds.2016-11506" ext-link-type="DOI">10.3168/jds.2016-11506</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><mixed-citation>Parker Gaddis, K. L., Null, D. J., and Cole, J. B.: Explorations in genome-wide association studies and network analyses with dairy cattle fertility traits, J. Dairy Sci., 99, 6420–6435, <ext-link xlink:href="https://doi.org/10.3168/jds.2015-10444" ext-link-type="DOI">10.3168/jds.2015-10444</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><mixed-citation>Posit team: RStudio. Integrated Development Environment for R, Posit Software, PBC, Boston, MA, <uri>http://www.posit.co/</uri> (last access: 30 September 2026), 2025.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><mixed-citation>Prakapenka, D., Liang, Z., and Da, Y.: Genome-Wide Association Study of Age at First Calving in U.S. Holstein Cows, Int. J. Mol. Sci., 24, <ext-link xlink:href="https://doi.org/10.3390/ijms24087109" ext-link-type="DOI">10.3390/ijms24087109</ext-link>, 2023.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><mixed-citation>Puckowska, P., Borowska, A., Szwaczkowski, T., Oleński, K., and Kamiński, S.: Effects of a novel missense polymorphism within the SIGLEC5 gene on fertility traits in Holstein-Friesian cattle, Reprod. Domest. Anim., 54, 1163–1168, <ext-link xlink:href="https://doi.org/10.1111/rda.13484" ext-link-type="DOI">10.1111/rda.13484</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><mixed-citation>Purfield, D. C., Evans, R. D., Carthy, T. R., and Berry, D. P.: Genomic Regions Associated With Gestation Length Detected Using Whole-Genome Sequence Data Differ Between Dairy and Beef Cattle, Front. Genet., 10, 1068, <ext-link xlink:href="https://doi.org/10.3389/fgene.2019.01068" ext-link-type="DOI">10.3389/fgene.2019.01068</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><mixed-citation>Qanbari, S., Pimentel, E. C. G., Tetens, J., Thaller, G., Lichtner, P., Sharifi, A. R., and Simianer, H.: The pattern of linkage disequilibrium in German Holstein cattle, Anim. Genet., 41, 346–356, <ext-link xlink:href="https://doi.org/10.1111/j.1365-2052.2009.02011.x" ext-link-type="DOI">10.1111/j.1365-2052.2009.02011.x</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><mixed-citation>R Core Team: R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria, <uri>https://www.R-project.org/</uri> (last access: 30 September 2026), 2024.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><mixed-citation>Sahana, G., Guldbrandtsen, B., and Lund, M. S.: Genome-wide association study for calving traits in Danish and Swedish Holstein cattle, J. Dairy Sci., 94, 479–486, <ext-link xlink:href="https://doi.org/10.3168/jds.2010-3381" ext-link-type="DOI">10.3168/jds.2010-3381</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><mixed-citation>Schneider, H., Segelke, D., Tetens, J., Thaller, G., and Bennewitz, J.: A genomic assessment of the correlation between milk production traits and claw and udder health traits in Holstein dairy cattle, J. Dairy Sci., 106, 1190–1205, <ext-link xlink:href="https://doi.org/10.3168/jds.2022-22312" ext-link-type="DOI">10.3168/jds.2022-22312</ext-link>, 2023. </mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><mixed-citation>Schneider, H., Krizanac, A.-M., Falker-Gieske, C., Heise, J., Tetens, J., Thaller, G., and Bennewitz, J.: Genomic dissection of the correlation between milk yield and various health traits using functional and evolutionary information about imputed sequence variants of 34,497 German Holstein cows, BMC Genomics, 25, 265, <ext-link xlink:href="https://doi.org/10.1186/s12864-024-10115-6" ext-link-type="DOI">10.1186/s12864-024-10115-6</ext-link>, 2024.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><mixed-citation>Segelke, D., Chen, J., Liu, Z., Reinhardt, F., Thaller, G., and Reents, R.: Reliability of genomic prediction for German Holsteins using imputed genotypes from low-density chips, 95, 5403–5411, <ext-link xlink:href="https://doi.org/10.3168/jds.2012-5466" ext-link-type="DOI">10.3168/jds.2012-5466</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><mixed-citation> Stachowicz, K., Ooi, E., and Amer, P.: Genetic trends in gestation length, Interbull Bulletin, 59, 171–176, 2023.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><mixed-citation>Turner, S. D.: qqman: an R package for visualizing GWAS results using Q-Q and manhattan plots, JOSS, 3, 731, <ext-link xlink:href="https://doi.org/10.21105/joss.00731" ext-link-type="DOI">10.21105/joss.00731</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><mixed-citation>van den Berg, S., Vandenplas, J., van Eeuwijk, F. A., Lopes, M. S., and Veerkamp, R. F.: Significance testing and genomic inflation factor using high-density genotypes or whole-genome sequence data, J. Anim. Breed. Genet., 136, 418–429, <ext-link xlink:href="https://doi.org/10.1111/jbg.12419" ext-link-type="DOI">10.1111/jbg.12419</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><mixed-citation>Vieira-Neto, A., Galvão, K. N., Thatcher, W. W., and Santos, J. E. P.: Association among gestation length and health, production, and reproduction in Holstein cows and implications for their offspring, J. Dairy Sci., 100, 3166–3181, <ext-link xlink:href="https://doi.org/10.3168/jds.2016-11867" ext-link-type="DOI">10.3168/jds.2016-11867</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><mixed-citation>Wu, X., Guldbrandtsen, B., Nielsen, U. S., Lund, M. S., and Sahana, G.: Association analysis for young stock survival index with imputed whole-genome sequence variants in Nordic Holstein cattle, J. Dairy Sci., 100, 6356–6370, <ext-link xlink:href="https://doi.org/10.3168/jds.2017-12688" ext-link-type="DOI">10.3168/jds.2017-12688</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><mixed-citation>Yang, J., Benyamin, B., McEvoy, B. P., Gordon, S., Henders, A. K., Nyholt, D. R., Madden, P. A., Heath, A. C., Martin, N. G., Montgomery, G. W., Goddard, M. E., and Visscher, P. M.: Common SNPs explain a large proportion of the heritability for human height, Nat. Genet., 42, 565–569, <ext-link xlink:href="https://doi.org/10.1038/ng.608" ext-link-type="DOI">10.1038/ng.608</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><mixed-citation>Yang, J., Lee, S. H., Goddard, M. E., and Visscher, P. M.: GCTA: a tool for genome-wide complex trait analysis, Am. J. Hum. Genet., 88, 76–82, <ext-link xlink:href="https://doi.org/10.1016/j.ajhg.2010.11.011" ext-link-type="DOI">10.1016/j.ajhg.2010.11.011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><mixed-citation>Yang, J., Zaitlen, N. A., Goddard, M. E., Visscher, P. M., and Price, A. L.: Advantages and pitfalls in the application of mixed-model association methods, Nat. Genet., 46, 100–106, <ext-link xlink:href="https://doi.org/10.1038/ng.2876" ext-link-type="DOI">10.1038/ng.2876</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib38"><label>38</label><mixed-citation>Zölch, M., Haas, V. P., Keßler, F., Križanac, A.-M., Reimer, C., Schmidtmann, C., Alkhoder, H., Tetens, J., and Bennewitz, J.: Genomic Dissection of Genetic Correlation Between Stillbirth and Gestation Length in German Holstein Cows, J. Dairy Sci., 109, 7272–7285, <ext-link xlink:href="https://doi.org/10.3168/jds.2025-27661" ext-link-type="DOI">10.3168/jds.2025-27661</ext-link>, 2026a.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><mixed-citation>Zölch, M., Haas, V. P., Schmidtmann, C., Alkhoder, H., Tetens, J., and Bennewitz, J.: Supplementary data: Genome-wide association study of Gestation Length in German Holsteins, Figshare [data set], <ext-link xlink:href="https://doi.org/10.6084/m9.figshare.31820251" ext-link-type="DOI">10.6084/m9.figshare.31820251</ext-link>, 2026b.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Genome-wide association study of gestation length in German Holsteins</article-title-html>
<abstract-html/>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
      
Abo-Ismail, M. K., Brito, L. F., Miller, S. P., Sargolzaei, M., Grossi, D. A., Moore, S. S., Plastow, G., Stothard, P., Nayeri, S., and Schenkel, F. S.: Genome-wide association studies and genomic prediction of breeding values for calving performance and body conformation traits in Holstein cattle, Genet. Sel. Evol., 49, 82, <a href="https://doi.org/10.1186/s12711-017-0356-8" target="_blank">https://doi.org/10.1186/s12711-017-0356-8</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
      
Aponte, P. F. C., Carneiro, P. L. S., Araujo, A. C., Pedrosa, V. B., Fotso-Kenmogne, P. R., Silva, D. A., Miglior, F., Schenkel, F. S., and Brito, L. F.: Investigating the genomic background of calving-related traits in Canadian Jersey cattle, J. Dairy Sci., 107, 11195–11213, <a href="https://doi.org/10.3168/jds.2024-24768" target="_blank">https://doi.org/10.3168/jds.2024-24768</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
      
Branham, K. K. R., Sherman, E., Golzy, M., Drobnis, E. Z., and Schulz, L. C.: Association of serum leptin at 24–28 weeks gestation with initiation and progression of labor in women, Sci. Rep., 12, 16016, <a href="https://doi.org/10.1038/s41598-022-19868-0" target="_blank">https://doi.org/10.1038/s41598-022-19868-0</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
      
Browning, B. L., Zhou, Y., and Browning, S. R.: A One-Penny Imputed Genome from Next-Generation Reference Panels, Am. J. Hum. Genet., 103, 338–348, <a href="https://doi.org/10.1016/j.ajhg.2018.07.015" target="_blank">https://doi.org/10.1016/j.ajhg.2018.07.015</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
      
Browning, S. R. and Browning, B. L.: Rapid and accurate haplotype phasing and missing-data inference for whole-genome association studies by use of localized haplotype clustering, Am. J. Hum. Genet., 81, 1084–1097, <a href="https://doi.org/10.1086/521987" target="_blank">https://doi.org/10.1086/521987</a>, 2007.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
      
Chang, C. C., Chow, C. C., Tellier, L. C., Vattikuti, S., Purcell, S. M., and Lee, J. J.: Second-generation PLINK: rising to the challenge of larger and richer datasets, GigaScience, 4, 7, <a href="https://doi.org/10.1186/s13742-015-0047-8" target="_blank">https://doi.org/10.1186/s13742-015-0047-8</a>, 2015.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
      
Cole, J. B., VanRaden, P. M., O'Connell, J. R., van Tassell, C. P., Sonstegard, T. S., Schnabel, R. D., Taylor, J. F., and Wiggans, G. R.: Distribution and location of genetic effects for dairy traits, J. Dairy Sci., 92, 2931–2946, <a href="https://doi.org/10.3168/jds.2008-1762" target="_blank">https://doi.org/10.3168/jds.2008-1762</a>, 2009.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
      
Fang, L., Jiang, J., Li, B., Zhou, Y., Freebern, E., Vanraden, P. M., Cole, J. B., Liu, G. E., and Ma, L.: Genetic and epigenetic architecture of paternal origin contribute to gestation length in cattle, Commun. Biol., 2, 100, <a href="https://doi.org/10.1038/s42003-019-0341-6" target="_blank">https://doi.org/10.1038/s42003-019-0341-6</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
      
Fonseca, P. A. S., Suárez-Vega, A., Marras, G., and Cánovas, Á.: GALLO: An R package for genomic annotation and integration of multiple data sources in livestock for positional candidate loci, GigaScience, 9, <a href="https://doi.org/10.1093/gigascience/giaa149" target="_blank">https://doi.org/10.1093/gigascience/giaa149</a>, 2020.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
      
Haile-Mariam, M. and Pryce, J. E.: Genetic evaluation of gestation length and its use in managing calving patterns, 102, 476–487, <a href="https://doi.org/10.3168/jds.2018-14981" target="_blank">https://doi.org/10.3168/jds.2018-14981</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
      
Hu, Z.-L., Park, C. A., and Reecy, J. M.: A combinatorial approach implementing new database structures to facilitate practical data curation management of QTL, association, correlation and heritability data on trait variants, Database (Oxford), 2023, <a href="https://doi.org/10.1093/database/baad024" target="_blank">https://doi.org/10.1093/database/baad024</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
      
Jakimowicz, M., Szyda, J., Zarnecki, A., Jagusiak, W., Morek-Kopeć, M., Kosińska-Selbi, B., and Suchocki, T.: Genome-Wide Genomic and Functional Association Study for Workability and Calving Traits in Holstein Cattle, Animals (Basel), 12, <a href="https://doi.org/10.3390/ani12091127" target="_blank">https://doi.org/10.3390/ani12091127</a>, 2022.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
      
Jourdain, J., Capitan, A., Saintilan, R., Hozé, C., Fouéré, C., Fritz, S., Boichard, D. A., and Barbat, A.: Genetic parameters, genome-wide association study, and selection perspective on gestation length in 16 French cattle breeds, J. Dairy Sci., 107, 8157–8169, <a href="https://doi.org/10.3168/jds.2023-24632" target="_blank">https://doi.org/10.3168/jds.2023-24632</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
      
Križanac, A.-M., Reimer, C., Heise, J., Liu, Z., Pryce, J. E., Bennewitz, J., Thaller, G., Falker-Gieske, C., and Tetens, J.: Sequence-based GWAS in 180,000 German Holstein cattle reveals new candidate variants for milk production traits, Genet. Sel. Evol., 57, 3, <a href="https://doi.org/10.1186/s12711-025-00951-9" target="_blank">https://doi.org/10.1186/s12711-025-00951-9</a>, 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
      
Liu, Z. and Masuda, Y.: A deregression method for single-step genomic model using all genotype data, Interbull Bulletin, 56, 41–51, 2021.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
      
Maltecca, C., Gray, K. A., Weigel, K. A., Cassady, J. P., and Ashwell, M.: A genome-wide association study of direct gestation length in US Holstein and Italian Brown populations, Anim. Genet., 42, 585–591, <a href="https://doi.org/10.1111/j.1365-2052.2011.02188.x" target="_blank">https://doi.org/10.1111/j.1365-2052.2011.02188.x</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
      
MiX99 Development Team: MiX99: A software package for solving large mixed, Natural Resources Institute Finland (Luke), Jokioinen, Finland, <a href="http://www.luke.fi/mix99" target="_blank"/> (last access: 30 September 2026), 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
      
Müller, M.-P., Rothammer, S., Seichter, D., Russ, I., Hinrichs, D., Tetens, J., Thaller, G., and Medugorac, I.: Genome-wide mapping of 10 calving and fertility traits in Holstein dairy cattle with special regard to chromosome 18, J. Dairy Sci., 100, 1987–2006, <a href="https://doi.org/10.3168/jds.2016-11506" target="_blank">https://doi.org/10.3168/jds.2016-11506</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
      
Parker Gaddis, K. L., Null, D. J., and Cole, J. B.: Explorations in genome-wide association studies and network analyses with dairy cattle fertility traits, J. Dairy Sci., 99, 6420–6435, <a href="https://doi.org/10.3168/jds.2015-10444" target="_blank">https://doi.org/10.3168/jds.2015-10444</a>, 2016.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
      
Posit team: RStudio. Integrated Development Environment for R, Posit Software, PBC, Boston, MA, <a href="http://www.posit.co/" target="_blank"/> (last access: 30 September 2026), 2025.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
      
Prakapenka, D., Liang, Z., and Da, Y.: Genome-Wide Association Study of Age at First Calving in U.S. Holstein Cows, Int. J. Mol. Sci., 24, <a href="https://doi.org/10.3390/ijms24087109" target="_blank">https://doi.org/10.3390/ijms24087109</a>, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
      
Puckowska, P., Borowska, A., Szwaczkowski, T., Oleński, K., and Kamiński, S.: Effects of a novel missense polymorphism within the SIGLEC5 gene on fertility traits in Holstein-Friesian cattle, Reprod. Domest. Anim., 54, 1163–1168, <a href="https://doi.org/10.1111/rda.13484" target="_blank">https://doi.org/10.1111/rda.13484</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
      
Purfield, D. C., Evans, R. D., Carthy, T. R., and Berry, D. P.: Genomic Regions Associated With Gestation Length Detected Using Whole-Genome Sequence Data Differ Between Dairy and Beef Cattle, Front. Genet., 10, 1068, <a href="https://doi.org/10.3389/fgene.2019.01068" target="_blank">https://doi.org/10.3389/fgene.2019.01068</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
      
Qanbari, S., Pimentel, E. C. G., Tetens, J., Thaller, G., Lichtner, P., Sharifi, A. R., and Simianer, H.: The pattern of linkage disequilibrium in German Holstein cattle, Anim. Genet., 41, 346–356, <a href="https://doi.org/10.1111/j.1365-2052.2009.02011.x" target="_blank">https://doi.org/10.1111/j.1365-2052.2009.02011.x</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
      
R Core Team: R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria, <a href="https://www.R-project.org/" target="_blank"/> (last access: 30 September 2026), 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
      
Sahana, G., Guldbrandtsen, B., and Lund, M. S.: Genome-wide association study for calving traits in Danish and Swedish Holstein cattle, J. Dairy Sci., 94, 479–486, <a href="https://doi.org/10.3168/jds.2010-3381" target="_blank">https://doi.org/10.3168/jds.2010-3381</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
      
Schneider, H., Segelke, D., Tetens, J., Thaller, G., and Bennewitz, J.: A genomic assessment of the correlation between milk production traits and claw and udder health traits in Holstein dairy cattle, J. Dairy Sci., 106, 1190–1205, <a href="https://doi.org/10.3168/jds.2022-22312" target="_blank">https://doi.org/10.3168/jds.2022-22312</a>, 2023.


    </mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
      
Schneider, H., Krizanac, A.-M., Falker-Gieske, C., Heise, J., Tetens, J., Thaller, G., and Bennewitz, J.: Genomic dissection of the correlation between milk yield and various health traits using functional and evolutionary information about imputed sequence variants of 34,497 German Holstein cows, BMC Genomics, 25, 265, <a href="https://doi.org/10.1186/s12864-024-10115-6" target="_blank">https://doi.org/10.1186/s12864-024-10115-6</a>, 2024.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
      
Segelke, D., Chen, J., Liu, Z., Reinhardt, F., Thaller, G., and Reents, R.: Reliability of genomic prediction for German Holsteins using imputed genotypes from low-density chips, 95, 5403–5411, <a href="https://doi.org/10.3168/jds.2012-5466" target="_blank">https://doi.org/10.3168/jds.2012-5466</a>, 2012.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
      
Stachowicz, K., Ooi, E., and Amer, P.: Genetic trends in gestation length, Interbull Bulletin, 59, 171–176, 2023.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
      
Turner, S. D.: qqman: an R package for visualizing GWAS results using Q-Q and manhattan plots, JOSS, 3, 731, <a href="https://doi.org/10.21105/joss.00731" target="_blank">https://doi.org/10.21105/joss.00731</a>, 2018.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
      
van den Berg, S., Vandenplas, J., van Eeuwijk, F. A., Lopes, M. S., and Veerkamp, R. F.: Significance testing and genomic inflation factor using high-density genotypes or whole-genome sequence data, J. Anim. Breed. Genet., 136, 418–429, <a href="https://doi.org/10.1111/jbg.12419" target="_blank">https://doi.org/10.1111/jbg.12419</a>, 2019.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
      
Vieira-Neto, A., Galvão, K. N., Thatcher, W. W., and Santos, J. E. P.: Association among gestation length and health, production, and reproduction in Holstein cows and implications for their offspring, J. Dairy Sci., 100, 3166–3181, <a href="https://doi.org/10.3168/jds.2016-11867" target="_blank">https://doi.org/10.3168/jds.2016-11867</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
      
Wu, X., Guldbrandtsen, B., Nielsen, U. S., Lund, M. S., and Sahana, G.: Association analysis for young stock survival index with imputed whole-genome sequence variants in Nordic Holstein cattle, J. Dairy Sci., 100, 6356–6370, <a href="https://doi.org/10.3168/jds.2017-12688" target="_blank">https://doi.org/10.3168/jds.2017-12688</a>, 2017.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
      
Yang, J., Benyamin, B., McEvoy, B. P., Gordon, S., Henders, A. K., Nyholt, D. R., Madden, P. A., Heath, A. C., Martin, N. G., Montgomery, G. W., Goddard, M. E., and Visscher, P. M.: Common SNPs explain a large proportion of the heritability for human height, Nat. Genet., 42, 565–569, <a href="https://doi.org/10.1038/ng.608" target="_blank">https://doi.org/10.1038/ng.608</a>, 2010.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
      
Yang, J., Lee, S. H., Goddard, M. E., and Visscher, P. M.: GCTA: a tool for genome-wide complex trait analysis, Am. J. Hum. Genet., 88, 76–82, <a href="https://doi.org/10.1016/j.ajhg.2010.11.011" target="_blank">https://doi.org/10.1016/j.ajhg.2010.11.011</a>, 2011.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
      
Yang, J., Zaitlen, N. A., Goddard, M. E., Visscher, P. M., and Price, A. L.: Advantages and pitfalls in the application of mixed-model association methods, Nat. Genet., 46, 100–106, <a href="https://doi.org/10.1038/ng.2876" target="_blank">https://doi.org/10.1038/ng.2876</a>, 2014.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
      
Zölch, M., Haas, V. P., Keßler, F., Križanac, A.-M., Reimer, C., Schmidtmann, C., Alkhoder, H., Tetens, J., and Bennewitz, J.: Genomic Dissection of Genetic Correlation Between Stillbirth and Gestation Length in German Holstein Cows, J. Dairy Sci., 109, 7272–7285, <a href="https://doi.org/10.3168/jds.2025-27661" target="_blank">https://doi.org/10.3168/jds.2025-27661</a>, 2026a.

    </mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
      
Zölch, M., Haas, V. P., Schmidtmann, C., Alkhoder, H., Tetens, J., and Bennewitz, J.: Supplementary data: Genome-wide association study of Gestation Length in German Holsteins, Figshare [data set], <a href="https://doi.org/10.6084/m9.figshare.31820251" target="_blank">https://doi.org/10.6084/m9.figshare.31820251</a>, 2026b.

    </mixed-citation></ref-html>--></article>
