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  <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>
  </journal-title-group><issn>2363-9822</issn><issn pub-type="discussion"/><publisher>
    <publisher-name>Copernicus GmbH (Copernicus Publications)</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <title-group><article-title>Genetic and non-genetic determinants of farrowing and lactation traits in multiparous sows under intensive management</article-title><alt-title>Factors in multiparous sow productivity</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>González-Sánchez</surname><given-names>Daniel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Vázquez-Armijo</surname><given-names>José F.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4888-969X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Velázquez-Villalva</surname><given-names>Héctor H.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Albarrán-Portillo</surname><given-names>Benito</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Gómez-Tenorio</surname><given-names>Germán</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Lopez-Villalobos</surname><given-names>Nicolas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>De la Rosa-Reyna</surname><given-names>Xochitl F.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff4">
          <name><surname>Parra-Bracamonte</surname><given-names>Gaspar M.</given-names></name>
          <email>gparra@ipn.mx</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Centro Universitario UAEM Temascaltepec, Universidad Autónoma del Estado de México, Temascaltepec, Estado de México, México</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Granja Porcina Las Pulgas, Temascaltepec, Estado de México, México</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>School of Agriculture and Environment, Massey University, Palmerston North,  New Zealand</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Centro de Biotecnología Genómica, Instituto Politécnico Nacional, Reynosa, Tamaulipas, México</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Gaspar M. Parra-Bracamonte (gparra@ipn.mx)</corresp></author-notes><pub-date><day>9</day><month>April</month><year>2026</year></pub-date>
      
      <volume>69</volume>
      <issue>2</issue>
      <fpage>217</fpage><lpage>225</lpage>
      <history>
        <date date-type="received"><day>23</day><month>September</month><year>2025</year></date>
           <date date-type="rev-recd"><day>16</day><month>January</month><year>2026</year></date>
           <date date-type="accepted"><day>19</day><month>March</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Daniel González-Sánchez et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      </permissions>
      <abstract><title>Abstract</title>

      <p id="d2e166">Genetic crossbreeding and advanced management have substantially improved swine productivity, yet reproductive outcomes in commercial herds remain strongly influenced by environmental and genetic factors. This study quantified these effects on key farrowing and lactation traits in multiparous sows under intensive production, identifying genetic lines that sustain high performance under variable conditions. Farrowing year (FY) and parity number (PN) significantly influenced all farrowing traits and most lactation traits (<inline-formula><mml:math id="M1" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Genetic group (GG) affected total piglets born (TPBs), piglets born alive (PBAs), and total litter birth weight (TLBW) (<inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>). Sow weight at farrowing (SWF) and gestation length (GL) exerted linear effects on TPBs (<inline-formula><mml:math id="M3" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>SWF <inline-formula><mml:math id="M4" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.01996 piglets per kg; <inline-formula><mml:math id="M5" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>GL <inline-formula><mml:math id="M6" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M7" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5344 piglets per day) and PBAs (<inline-formula><mml:math id="M8" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>SWF <inline-formula><mml:math id="M9" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.01560; <inline-formula><mml:math id="M10" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula>GL <inline-formula><mml:math id="M11" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M12" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.5248). Cross-fostering increased piglet weight at day 21 (LWW21) and number of piglets weaned (NPWs) (<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>). Insemination season (IS) affected stillborn piglets (SPs) (<inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0152</mml:mn></mml:mrow></mml:math></inline-formula>) and average weaning piglet birth weight (AWPW) (<inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0078</mml:mn></mml:mrow></mml:math></inline-formula>), while season farrowing (SF) influenced AWPW and NPWs (<inline-formula><mml:math id="M16" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0447</mml:mn></mml:mrow></mml:math></inline-formula>, respectively). Estimates of heritabilities (<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) were low for most traits (0.00–0.07) but moderate for LWW21 (0.21) and AWPW (0.13). Farrowing year and parity number are dominant non-genetic drivers of prolificacy and litter growth in intensive systems. Integrating optimized reproductive management, cross-fostering protocols, and sow body condition control with targeted genetic selection and enhanced nutrition and climate regulation offers a strategic pathway to maximize reproductive efficiency and farm profitability.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e346">Global pork production has shown steady growth in recent years, reaching approximately 124.5 million tonnes in 2023 – an increase of 1.4 % compared with 2022 (FAO, 2024). Sustaining these volumes under intensive production systems requires optimizing sow reproductive performance, as maternal-type females are the cornerstone of herd productivity and profitability. Sow lifetime reproductive efficiency strongly influences production economics, with key indicators including total piglets born; live-born counts; stillborn counts; litter birth weight; number of weaned piglets; and, during lactation, total and average piglet weaning weights (Segura-Correa et al., 2023). Monitoring these traits allows early detection of reproductive bottlenecks and supports both management adjustments and genetic selection programs.</p>
      <p id="d2e349">Genetic improvement programs have targeted high-prolificacy sows; however, the low heritability of most reproductive traits remains a constraint to genetic progress (Tummaruk et al., 2023). Studies in maternal breeds such as Landrace, Large White, and Yorkshire have documented gains in prolificacy, enabling estimation of breeding values and more precise selection (Ehlers et al., 2005). Nevertheless, reproductive performance is also shaped by non-genetic factors, including parity, insemination season, farrowing year, housing type, and management practices, which can substantially influence litter size and weight (Chakurkar et al., 2021; Ek-Mex et al., 2024).</p>
      <p id="d2e352">The existing body of research on sow reproductive performance provides a substantial foundation, documenting the complex interplay of genetic and non-genetic factors that shape farrowing and lactation outcomes. Genetic studies consistently report low to moderate heritability estimates for key reproductive traits, underscoring the challenge of achieving rapid genetic progress. For instance, heritability for litter size traits like total number born (TNB) and number born alive (NBA) is typically low (0.10–0.20), while birth weight (BW) often shows moderate heritability (approximately 0.20–0.41) (Boonkum et al., 2025; Rocha et al., 2025). Concurrently, extensive research has characterized major non-genetic influences. Sow parity is a critical factor, with performance generally peaking between parities 2–5 and declining in gilts and aged sows (Koketsu and Iida, 2017). Seasonal effects, particularly high summer temperatures, are reliably linked to reduced fertility and prolificacy (Koketsu and Iida, 2017). Furthermore, detailed investigations into piglet mortality identify risk factors such as increased litter size, low birth weight, extreme gestation length, and high birth order, all contributing to stillbirth and pre-weaning losses (Nam and Sukon, 2021; Kramarenko et al., 2024). While these genetic and environmental factors are often studied separately, there is a recognized need for more integrated models that simultaneously account for both sets of effects to identify robust genetic lines capable of sustaining high performance under variable commercial conditions (Boonkum et al., 2025).</p>
      <p id="d2e355">Additionally, there is limited integration of these effects into analytical models that allow for the accurate discrimination of reproductive performance according to genetic lineage under environmental conditions. This limitation hinders the identification of new genotypes capable of maintaining high reproductive performance throughout their lifespan in production systems (Knap et al., 2023). Therefore, it is necessary to characterize the sow's prolificacy and maternal capacity to evaluate performance during farrowing and lactation, integrating indicators that reflect reproductive efficiency, such as piglet survival and growth (Dekkers, 2021). Furthermore, this study will provide applicable information for decision-making in genetic improvement and reproductive management programs in order to contribute to the more efficient allocation of genetic resources and the reduction of losses associated with pre-weaning mortality and low-birth-weight litters (Zotti et al., 2017).</p>
      <p id="d2e359">A combined assessment of genetic and non-genetic influences on farrowing and lactation performance is therefore essential for improving reproductive management strategies in commercial herds. The objective of the present study was to quantify these effects on key farrowing and lactation traits in multiparous sows under intensive production and identify genetic lines that sustain high performance under variable conditions. The hypothesis of the assessment was that findings will confirm the multifactorial nature of sow productivity in commercial conditions, suggesting the most important factors to consider for management.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods and materials</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Animals and management</title>
      <p id="d2e377">Data from 1238 farrowings of 283 multiparous sows were collected between 2017 and 2024 at a commercial swine farm in Temascaltepec, Mexico (19°02<sup>′</sup>47<sup>′′</sup> N, 100°02<sup>′</sup>47<sup>′′</sup> W; 1720 m a.s.l.). The region has a temperate sub-humid climate with a mean annual temperature of 19 °C and annual precipitation of 1100 mm. Sows were the progeny of Landrace boars and Yorkshire dams from seven genetic groups (GG1–GG7), classified by the origin of their paternal and maternal grandsires as follows: GG1, dam Yorkshire PIC 50 % <inline-formula><mml:math id="M23" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> boar Landrace Genesus 50 %; GG2, dam Yorkshire PIC 25 % <inline-formula><mml:math id="M24" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Yorkshire Genesus 25 % <inline-formula><mml:math id="M25" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> boar Landrace Genesus 50 %; GG3, dam Yorkshire PIC 25 % <inline-formula><mml:math id="M26" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Yorkshire Genesus 25 % <inline-formula><mml:math id="M27" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> boar Landrace Choice 50 %; GG4, dam Yorkshire PIC 25 % <inline-formula><mml:math id="M28" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace PIC 25 % <inline-formula><mml:math id="M29" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace Choice 50 %; GG5: dam Yorkshire PIC 50 % <inline-formula><mml:math id="M30" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace PIC 50 %; GG6: dam Yorkshire PIC 50 % <inline-formula><mml:math id="M31" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> boar Yorkshire PIC 25 % <inline-formula><mml:math id="M32" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace PIC 25 %; and GG7, dam Yorkshire PIC 25 % <inline-formula><mml:math id="M33" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Yorkshire Genesus 25 % <inline-formula><mml:math id="M34" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> boar Yorkshire PIC 25 % <inline-formula><mml:math id="M35" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace PIC 25 %.  From each of the crosses, the f1 females were obtained, which were crossed with PIC 408 boars to obtain piglets for slaughter.</p>
      <p id="d2e515">At 107 d of gestation, sows were moved to the farrowing house supplemented with vitamins, dewormed, and thoroughly washed with water and soap before being placed in individual farrowing crates and assigned a unique identification number. Diets gradually transitioned from gestation to lactation rations, reaching 3 kg d<sup>−1</sup>  by farrowing onset.</p>
      <p id="d2e530">During farrowing, each piglet was dried (body and nares), and the umbilical cord was clamped, cut, and treated with iodine. Upon completion, the litter was weighed, and the following data were recorded: farrowing date, parity number (PN), total piglets born (TPBs), live-born piglets (PBAs), stillborn piglets (SPs), total litter birth weight (TLBW), and average piglet birth weight (AWPB). Cross-fostering (CF) was performed when necessary to standardize litter size.</p>
      <p id="d2e533">To cross-foster piglets between litters, the number of piglets in each litter was first reviewed to determine which sows with the fewest piglets would adopt one to three piglets. This decision was based on the sow's milk production capacity, body condition, and temperament and was only made possible within the first 48 h postpartum. The litter size threshold was also established for sows with fewer than 10 live-born piglets to be considered recipients and those with more than 15 live-born piglets to be considered donors, if the sow had 14 functional teats for nursing her piglets.</p>
      <p id="d2e537">Lactation averaged 24 d, after which the number of piglets weaned (NPWs), total litter weaning weight (LWW), and average piglet weaning weight (AWPW) were recorded. Weaning weights were adjusted to 21 d (AWPB) using a standard correction factor to account for litters weaned at slightly different ages. Sows were weighed upon exit from the farrowing house before returning to gestation pens.</p>
      <p id="d2e540">For the genetic evaluation, the databases were structured as follows. For the evaluation of farrowing variables, the following were considered integer variables: the identification of the sow, the grandparent boar, the identification of the maternal grandparents, and the contemporary group, which was formed through the year of farrowing of the sow, the farrowing season, the number of farrowings completed on the farm, and cross-fostering. The following were considered to be real variables: total number of piglets born (TPBs), number of piglets born alive (PBAs), number of piglets born stillborn (SPs), litter weight at birth (TLBW), average piglet weight at birth (AWPB), and sow weight at farrowing (SWF). For the evaluation of lactation variables, the same integer variables were used, and the following were considered  real variables: number of piglets that died during lactation (NPDLs), litter weight at weaning at 21 d (LWW21), average piglet weight at weaning at 21 d (AWPW), number of piglets weaned (NPWs), sow weight at farrowing (SWF), and number of piglets born alive (TPBs).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Statistical analysis</title>
      <p id="d2e551">After verifying the normality of the variables through Shapiro–Wilk and normal quantile plots, the genetic and non-genetic effects of factors of each trait were evaluated using a generalized linear model fitted with the GLM procedure in SAS<sup>®</sup>  v9.4 (SAS Institute Inc., Cary, NC, USA):

            <disp-formula id="Ch1.Ex1"><mml:math id="M37" display="block"><mml:mtable class="split" rowspacing="0.2ex" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">Y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi><mml:mi>l</mml:mi><mml:mi>m</mml:mi><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">FY</mml:mi><mml:mi>j</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">IS</mml:mi><mml:mi>k</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">GG</mml:mi><mml:mi>l</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="normal">PN</mml:mi><mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">SWF</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi><mml:mi>l</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">GL</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi><mml:mi>l</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi><mml:mi>l</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

          where <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="bold-italic">Y</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi><mml:mi>l</mml:mi><mml:mi>m</mml:mi><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>  is the vector of observations for TPBs, PBAs, SPs, TLBW, AWPB, and NPDLs; <inline-formula><mml:math id="M39" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> is the overall mean; <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the individual random effect of the <inline-formula><mml:math id="M41" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>th sow; FY<sub><italic>j</italic></sub> is the fixed effect of the <inline-formula><mml:math id="M43" display="inline"><mml:mi>j</mml:mi></mml:math></inline-formula>th farrowing year (2018–2023); IS<sub><italic>k</italic></sub> is the fixed effect of the <inline-formula><mml:math id="M45" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>th insemination season; GG<sub><italic>l</italic></sub> is the fixed effect of the <inline-formula><mml:math id="M47" display="inline"><mml:mi>l</mml:mi></mml:math></inline-formula>th genetic group (GG1–GG7); PN<sub><italic>m</italic></sub> is the fixed effect of the <inline-formula><mml:math id="M49" display="inline"><mml:mi>m</mml:mi></mml:math></inline-formula>th parity; <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> are regression coefficients for sow body weight at farrowing (SW) and gestation length (GL), respectively; and <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi><mml:mi>k</mml:mi><mml:mi>l</mml:mi><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> is the random residual error.</p>
      <p id="d2e843">For traits LWW21, AWPW, NPWs, and NPDLs, IS was replaced with the fixed effect of season farrowings (SFs), and cross-fostering (CF) and total piglets born (TPBs) were included as additional fixed effects, while the GL covariate was excluded. Least squares means were compared using a significance threshold of <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>. Genetic variance components and parameters were estimated using MTDFREML, with convergence defined as <inline-formula><mml:math id="M54" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 log <inline-formula><mml:math id="M55" display="inline"><mml:mi>L</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M56" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M57" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−14</sup>. Normality of traits was assumed after the previous verification. The data set included 1236 records of 256 sows, 9 sires, and 24 dams. The animal model used was

            <disp-formula id="Ch1.Ex2"><mml:math id="M59" display="block"><mml:mrow><mml:mi mathvariant="bold-italic">y</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="bold">X</mml:mi><mml:mi mathvariant="bold-italic">b</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="bold">Z</mml:mi><mml:mi mathvariant="bold-italic">u</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="bold">W</mml:mi><mml:mi mathvariant="bold-italic">c</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="bold-italic">e</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M60" display="inline"><mml:mi mathvariant="bold-italic">y</mml:mi></mml:math></inline-formula> is the vector of phenotypic observations; <inline-formula><mml:math id="M61" display="inline"><mml:mi mathvariant="bold-italic">b</mml:mi></mml:math></inline-formula> is the vector of fixed effects; <inline-formula><mml:math id="M62" display="inline"><mml:mi mathvariant="bold-italic">u</mml:mi></mml:math></inline-formula> is the vector of direct additive genetic effects; <inline-formula><mml:math id="M63" display="inline"><mml:mi mathvariant="bold-italic">c</mml:mi></mml:math></inline-formula> is the vector of maternal permanent environmental effects; <inline-formula><mml:math id="M64" display="inline"><mml:mi mathvariant="bold">X</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M65" display="inline"><mml:mi mathvariant="bold">Z</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M66" display="inline"><mml:mi mathvariant="bold">W</mml:mi></mml:math></inline-formula> are the incidence matrices relating records to the fixed contemporary group integrated by farrowing year, season, PN, and CF, additive genetic effect of the sire, and permanent environmental effects, respectively; and <inline-formula><mml:math id="M67" display="inline"><mml:mi mathvariant="bold-italic">e</mml:mi></mml:math></inline-formula> is the vector of residuals. Estimates of variance for additive genetic (<inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>), maternal permanent environmental (<inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>c</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>), and residual (<inline-formula><mml:math id="M70" 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>) effects were obtained and used for the estimation of heritability (<inline-formula><mml:math id="M71" display="inline"><mml:mrow><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>/</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>) and repeatability (<inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>c</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>), where <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> is the phenotypic variance calculated as <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">a</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi>c</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>+</mml:mo><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>.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Descriptive statistics</title>
      <p id="d2e1169">Summary statistics for reproductive traits indicate that, on average, total piglets born (TPBs) per litter  was 12.22 <inline-formula><mml:math id="M75" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.25 (CV <inline-formula><mml:math id="M76" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 26.6 %), with 11.55 <inline-formula><mml:math id="M77" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.17 live-born piglets (PBAs; CV <inline-formula><mml:math id="M78" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 27.5 %) and 0.72 <inline-formula><mml:math id="M79" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.08 stillborn piglets (SPs; CV <inline-formula><mml:math id="M80" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 150.8 %). Total litter birth weight (TLBW) averaged 16.91 <inline-formula><mml:math id="M81" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 4.19 kg (CV <inline-formula><mml:math id="M82" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 24.8 %) and mean individual birth weight (AWPB) averaged 1.50 <inline-formula><mml:math id="M83" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.25 kg (CV <inline-formula><mml:math id="M84" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 17.1 %). During lactation, preweaning mortality (NPDLs) averaged 1.18 <inline-formula><mml:math id="M85" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.68 piglets (CV <inline-formula><mml:math id="M86" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 142.4 %), while adjusted total litter weaning weight (LWW21) was 61.93 <inline-formula><mml:math id="M87" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 12.56 kg (CV <inline-formula><mml:math id="M88" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 20.3 %). Adjusted mean piglet weaning weight (AWPB) was 6.05 <inline-formula><mml:math id="M89" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.88 kg (CV <inline-formula><mml:math id="M90" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 14.7 %), and the number weaned (NPWs) averaged 10.31 <inline-formula><mml:math id="M91" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.00 (CV <inline-formula><mml:math id="M92" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 19.4 %).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Effects on farrowing traits</title>
      <p id="d2e1309">Farrowing year (FY) significantly affected PBAs (<inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0049</mml:mn></mml:mrow></mml:math></inline-formula>), SPs, TLBW, and AWPB (<inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>), while parity number (PN) influenced all traits except SPs (<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.3524</mml:mn></mml:mrow></mml:math></inline-formula>) (Table 1). Genetic group (GG) affected TPBs (<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>), PBAs (<inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0012</mml:mn></mml:mrow></mml:math></inline-formula>), and AWPB (<inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>) (Table 2).</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e1390">Least squares means and standard error for total piglets born (TPBs), live-born piglets (PBAs), stillbirths (SPs), total litter birth weight (TLBW), and mean birth weight (AWPB) in multiparous sows by farrowing year, service season, and parity number.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Factor</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M101" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">TPBs</oasis:entry>
         <oasis:entry colname="col4">PBAs</oasis:entry>
         <oasis:entry colname="col5">SPs</oasis:entry>
         <oasis:entry colname="col6">TLBW</oasis:entry>
         <oasis:entry colname="col7">AWPB</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Farrowing year</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1432</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0113</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018</oasis:entry>
         <oasis:entry colname="col2">98</oasis:entry>
         <oasis:entry colname="col3">10.43 <inline-formula><mml:math id="M107" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.62</oasis:entry>
         <oasis:entry colname="col4">10.10 <inline-formula><mml:math id="M108" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.62</oasis:entry>
         <oasis:entry colname="col5">0.25 <inline-formula><mml:math id="M109" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.21<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">14.94 <inline-formula><mml:math id="M111" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.87<sup>b</sup></oasis:entry>
         <oasis:entry colname="col7">1.54 <inline-formula><mml:math id="M113" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05<sup>a,b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2019</oasis:entry>
         <oasis:entry colname="col2">131</oasis:entry>
         <oasis:entry colname="col3">11.12 <inline-formula><mml:math id="M115" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.53</oasis:entry>
         <oasis:entry colname="col4">10.21 <inline-formula><mml:math id="M116" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.52</oasis:entry>
         <oasis:entry colname="col5">0.82 <inline-formula><mml:math id="M117" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18<sup>b</sup></oasis:entry>
         <oasis:entry colname="col6">14.42 <inline-formula><mml:math id="M119" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.73<sup>b</sup></oasis:entry>
         <oasis:entry colname="col7">1.47 <inline-formula><mml:math id="M121" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2020</oasis:entry>
         <oasis:entry colname="col2">186</oasis:entry>
         <oasis:entry colname="col3">11.33 <inline-formula><mml:math id="M123" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.45</oasis:entry>
         <oasis:entry colname="col4">11.05 <inline-formula><mml:math id="M124" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.44</oasis:entry>
         <oasis:entry colname="col5">0.27 <inline-formula><mml:math id="M125" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">14.18 <inline-formula><mml:math id="M127" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.61<sup>b</sup></oasis:entry>
         <oasis:entry colname="col7">1.36 <inline-formula><mml:math id="M129" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03<sup>b,c</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2021</oasis:entry>
         <oasis:entry colname="col2">193</oasis:entry>
         <oasis:entry colname="col3">11.28 <inline-formula><mml:math id="M131" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.37</oasis:entry>
         <oasis:entry colname="col4">10.63 <inline-formula><mml:math id="M132" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.37</oasis:entry>
         <oasis:entry colname="col5">0.63 <inline-formula><mml:math id="M133" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.13<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col6">16.24 <inline-formula><mml:math id="M135" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.50<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col7">1.57 <inline-formula><mml:math id="M137" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03<sup>a,b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2022</oasis:entry>
         <oasis:entry colname="col2">278</oasis:entry>
         <oasis:entry colname="col3">11.93 <inline-formula><mml:math id="M139" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.25</oasis:entry>
         <oasis:entry colname="col4">11.21 <inline-formula><mml:math id="M140" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.24</oasis:entry>
         <oasis:entry colname="col5">0.72 <inline-formula><mml:math id="M141" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08<sup>b</sup></oasis:entry>
         <oasis:entry colname="col6">17.29 <inline-formula><mml:math id="M143" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.34<sup>a</sup></oasis:entry>
         <oasis:entry colname="col7">1.58 <inline-formula><mml:math id="M145" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02<sup>a,b</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">2023</oasis:entry>
         <oasis:entry colname="col2">352</oasis:entry>
         <oasis:entry colname="col3">12.14 <inline-formula><mml:math id="M147" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.22</oasis:entry>
         <oasis:entry colname="col4">11.51 <inline-formula><mml:math id="M148" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.21</oasis:entry>
         <oasis:entry colname="col5">0.76 <inline-formula><mml:math id="M149" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.07<sup>b</sup></oasis:entry>
         <oasis:entry colname="col6">17.18 <inline-formula><mml:math id="M151" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.30<sup>a</sup></oasis:entry>
         <oasis:entry colname="col7">1.53 <inline-formula><mml:math id="M153" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Insemination season</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M155" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.4648</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M156" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.8539</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0152</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.6709</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0078</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Spring</oasis:entry>
         <oasis:entry colname="col2">275</oasis:entry>
         <oasis:entry colname="col3">11.19 <inline-formula><mml:math id="M160" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.37</oasis:entry>
         <oasis:entry colname="col4">10.70 <inline-formula><mml:math id="M161" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.36</oasis:entry>
         <oasis:entry colname="col5">0.47 <inline-formula><mml:math id="M162" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.12<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">15.92 <inline-formula><mml:math id="M164" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.51</oasis:entry>
         <oasis:entry colname="col7">1.55 <inline-formula><mml:math id="M165" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Summer</oasis:entry>
         <oasis:entry colname="col2">320</oasis:entry>
         <oasis:entry colname="col3">11.28 <inline-formula><mml:math id="M167" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.33</oasis:entry>
         <oasis:entry colname="col4">10.77 <inline-formula><mml:math id="M168" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.33</oasis:entry>
         <oasis:entry colname="col5">0.52 <inline-formula><mml:math id="M169" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.11<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col6">15.52 <inline-formula><mml:math id="M171" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.47</oasis:entry>
         <oasis:entry colname="col7">1.49 <inline-formula><mml:math id="M172" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Autumn</oasis:entry>
         <oasis:entry colname="col2">358</oasis:entry>
         <oasis:entry colname="col3">11.49 <inline-formula><mml:math id="M174" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.33</oasis:entry>
         <oasis:entry colname="col4">10.91 <inline-formula><mml:math id="M175" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.32</oasis:entry>
         <oasis:entry colname="col5">0.57 <inline-formula><mml:math id="M176" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.11<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col6">15.68 <inline-formula><mml:math id="M178" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.45</oasis:entry>
         <oasis:entry colname="col7">1.48 <inline-formula><mml:math id="M179" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Winter</oasis:entry>
         <oasis:entry colname="col2">285</oasis:entry>
         <oasis:entry colname="col3">11.53 <inline-formula><mml:math id="M181" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.38</oasis:entry>
         <oasis:entry colname="col4">10.76 <inline-formula><mml:math id="M182" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.38</oasis:entry>
         <oasis:entry colname="col5">0.73 <inline-formula><mml:math id="M183" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.13<sup>b</sup></oasis:entry>
         <oasis:entry colname="col6">15.72 <inline-formula><mml:math id="M185" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.53</oasis:entry>
         <oasis:entry colname="col7">1.51 <inline-formula><mml:math id="M186" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Parity number</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0026</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M190" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.3524</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">271</oasis:entry>
         <oasis:entry colname="col3">11.56 <inline-formula><mml:math id="M193" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.30<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">11.07 <inline-formula><mml:math id="M195" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.29<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">0.54 <inline-formula><mml:math id="M197" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10</oasis:entry>
         <oasis:entry colname="col6">15.52 <inline-formula><mml:math id="M198" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.40<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col7">1.42 <inline-formula><mml:math id="M200" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">233</oasis:entry>
         <oasis:entry colname="col3">11.38 <inline-formula><mml:math id="M202" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.30<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col4">10.99 <inline-formula><mml:math id="M204" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.30<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">0.47 <inline-formula><mml:math id="M206" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10</oasis:entry>
         <oasis:entry colname="col6">16.81 <inline-formula><mml:math id="M207" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.41<sup>a</sup></oasis:entry>
         <oasis:entry colname="col7">1.57 <inline-formula><mml:math id="M209" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">209</oasis:entry>
         <oasis:entry colname="col3">11.86 <inline-formula><mml:math id="M211" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.33<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">11.28 <inline-formula><mml:math id="M213" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.33<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">0.56 <inline-formula><mml:math id="M215" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.11</oasis:entry>
         <oasis:entry colname="col6">17.02 <inline-formula><mml:math id="M216" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.45<sup>a</sup></oasis:entry>
         <oasis:entry colname="col7">1.56 <inline-formula><mml:math id="M218" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.02<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">184</oasis:entry>
         <oasis:entry colname="col3">12.01 <inline-formula><mml:math id="M220" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.37<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">11.57 <inline-formula><mml:math id="M222" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.37<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">0.50 <inline-formula><mml:math id="M224" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.13</oasis:entry>
         <oasis:entry colname="col6">17.22 <inline-formula><mml:math id="M225" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.51<sup>a</sup></oasis:entry>
         <oasis:entry colname="col7">1.53 <inline-formula><mml:math id="M227" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">139</oasis:entry>
         <oasis:entry colname="col3">11.50 <inline-formula><mml:math id="M229" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.44<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col4">10.92 <inline-formula><mml:math id="M231" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.44<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">0.54 <inline-formula><mml:math id="M233" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15</oasis:entry>
         <oasis:entry colname="col6">15.55 <inline-formula><mml:math id="M234" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.60<sup>b</sup></oasis:entry>
         <oasis:entry colname="col7">1.48 <inline-formula><mml:math id="M236" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03<sup>a,b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2">112</oasis:entry>
         <oasis:entry colname="col3">10.63 <inline-formula><mml:math id="M238" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.51<sup>b</sup></oasis:entry>
         <oasis:entry colname="col4">9.95 <inline-formula><mml:math id="M240" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.50<sup>b</sup></oasis:entry>
         <oasis:entry colname="col5">0.58 <inline-formula><mml:math id="M242" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17</oasis:entry>
         <oasis:entry colname="col6">14.05 <inline-formula><mml:math id="M243" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.69<sup>c</sup></oasis:entry>
         <oasis:entry colname="col7">1.51 <inline-formula><mml:math id="M245" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04<sup>a,b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7</oasis:entry>
         <oasis:entry colname="col2">90</oasis:entry>
         <oasis:entry colname="col3">10.67 <inline-formula><mml:math id="M247" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.56<sup>b</sup></oasis:entry>
         <oasis:entry colname="col4">9.73 <inline-formula><mml:math id="M249" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.55<sup>b</sup></oasis:entry>
         <oasis:entry colname="col5">0.82 <inline-formula><mml:math id="M251" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.19</oasis:entry>
         <oasis:entry colname="col6">13.79 <inline-formula><mml:math id="M252" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.76<sup>c</sup></oasis:entry>
         <oasis:entry colname="col7">1.48 <inline-formula><mml:math id="M254" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04<sup>a,b</sup></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e1393"><sup>a, b, c</sup> Means within each factor with different superscripts are statistically different at <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>.</p></table-wrap-foot></table-wrap>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e3245">Least squares means and standard error for total  piglets born (TPBs), live-born piglets (PBAs), stillbirths (SPs), total litter birth weight (TLBW), and mean birth weight (AWPB) in multiparous sows by genetic group (GG).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Factor</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M265" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">TPBs</oasis:entry>
         <oasis:entry colname="col4">PBAs</oasis:entry>
         <oasis:entry colname="col5">SPs</oasis:entry>
         <oasis:entry colname="col6">TLBW</oasis:entry>
         <oasis:entry colname="col7">AWPB</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Genetic group</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M266" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M267" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0012</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M268" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.4753</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M269" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.3432</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col7"><inline-formula><mml:math id="M270" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L1</oasis:entry>
         <oasis:entry colname="col2">108</oasis:entry>
         <oasis:entry colname="col3">10.20 <inline-formula><mml:math id="M271" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.45<sup>b</sup></oasis:entry>
         <oasis:entry colname="col4">9.78 <inline-formula><mml:math id="M273" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.44<sup>b</sup></oasis:entry>
         <oasis:entry colname="col5">0.62 <inline-formula><mml:math id="M275" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15</oasis:entry>
         <oasis:entry colname="col6">16.23 <inline-formula><mml:math id="M276" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.64</oasis:entry>
         <oasis:entry colname="col7">1.68 <inline-formula><mml:math id="M277" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.04<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L2</oasis:entry>
         <oasis:entry colname="col2">55</oasis:entry>
         <oasis:entry colname="col3">10.84 <inline-formula><mml:math id="M279" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.61<sup>b</sup></oasis:entry>
         <oasis:entry colname="col4">10.47 <inline-formula><mml:math id="M281" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.60<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col5">0.38 <inline-formula><mml:math id="M283" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.21</oasis:entry>
         <oasis:entry colname="col6">15.95 <inline-formula><mml:math id="M284" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.87</oasis:entry>
         <oasis:entry colname="col7">1.55 <inline-formula><mml:math id="M285" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05<sup>a,b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L3</oasis:entry>
         <oasis:entry colname="col2">233</oasis:entry>
         <oasis:entry colname="col3">10.81 <inline-formula><mml:math id="M287" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.43<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col4">10.20 <inline-formula><mml:math id="M289" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.43<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col5">0.57 <inline-formula><mml:math id="M291" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15</oasis:entry>
         <oasis:entry colname="col6">15.34 <inline-formula><mml:math id="M292" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.61</oasis:entry>
         <oasis:entry colname="col7">1.55 <inline-formula><mml:math id="M293" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.03<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L4</oasis:entry>
         <oasis:entry colname="col2">90</oasis:entry>
         <oasis:entry colname="col3">11.21 <inline-formula><mml:math id="M295" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.57<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col4">10.68 <inline-formula><mml:math id="M297" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.56<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col5">0.40 <inline-formula><mml:math id="M299" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.19</oasis:entry>
         <oasis:entry colname="col6">14.64 <inline-formula><mml:math id="M300" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.79</oasis:entry>
         <oasis:entry colname="col7">1.44 <inline-formula><mml:math id="M301" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L5</oasis:entry>
         <oasis:entry colname="col2">677</oasis:entry>
         <oasis:entry colname="col3">12.65 <inline-formula><mml:math id="M303" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">11.83 <inline-formula><mml:math id="M305" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">0.81 <inline-formula><mml:math id="M307" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08</oasis:entry>
         <oasis:entry colname="col6">16.67 <inline-formula><mml:math id="M308" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.25</oasis:entry>
         <oasis:entry colname="col7">1.45 <inline-formula><mml:math id="M309" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.01<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L6</oasis:entry>
         <oasis:entry colname="col2">38</oasis:entry>
         <oasis:entry colname="col3">11.60 <inline-formula><mml:math id="M311" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.69<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">10.82 <inline-formula><mml:math id="M313" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.68<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col5">0.70 <inline-formula><mml:math id="M315" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.24</oasis:entry>
         <oasis:entry colname="col6">15.11 <inline-formula><mml:math id="M316" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.97</oasis:entry>
         <oasis:entry colname="col7">1.46 <inline-formula><mml:math id="M317" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L7</oasis:entry>
         <oasis:entry colname="col2">37</oasis:entry>
         <oasis:entry colname="col3">12.30 <inline-formula><mml:math id="M319" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.69<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">11.72 <inline-formula><mml:math id="M321" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.69<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">0.54 <inline-formula><mml:math id="M323" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.24</oasis:entry>
         <oasis:entry colname="col6">16.03 <inline-formula><mml:math id="M324" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.00</oasis:entry>
         <oasis:entry colname="col7">1.42 <inline-formula><mml:math id="M325" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06<sup>b</sup></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e3248">L1: Yorkshire PIC <inline-formula><mml:math id="M256" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace Genesus, L2: Yorkshire PIC–Yorkshire Genesus <inline-formula><mml:math id="M257" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace Genesus, L3: Yorkshire PIC–Yorkshire Genesus <inline-formula><mml:math id="M258" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace Choice, L4: Yorkshire PIC–Landrace PIC <inline-formula><mml:math id="M259" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace Choice, L5: Yorkshire PIC <inline-formula><mml:math id="M260" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace PIC, L6: Yorkshire PIC <inline-formula><mml:math id="M261" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Yorkshire PIC–Landrace PIC, and  L7: Yorkshire PIC–Yorkshire Genesus <inline-formula><mml:math id="M262" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Yorkshire PIC–Landrace PIC. <sup>a, b, c</sup> Means within each factor with different superscripts are statistically different at <inline-formula><mml:math id="M264" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>.</p></table-wrap-foot></table-wrap>

      <p id="d2e4092">Body weight at farrowing (SWF) had a positive linear effect on TPBs (<inline-formula><mml:math id="M327" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M328" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.01996 <inline-formula><mml:math id="M329" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0039 piglets per kg; <inline-formula><mml:math id="M330" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>) and PBAs (<inline-formula><mml:math id="M331" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M332" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.01560 <inline-formula><mml:math id="M333" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0038 piglets per kg; <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>), equivalent to <inline-formula><mml:math id="M335" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> one extra piglet per 5–6.5 kg increase in SWF. Gestation length (GL) was negatively associated with TPBs (<inline-formula><mml:math id="M336" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5344</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M337" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0686 piglets per day; <inline-formula><mml:math id="M338" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>) and PBAs (<inline-formula><mml:math id="M339" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.5248</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M340" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0673; <inline-formula><mml:math id="M341" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>). Stillbirths decreased with greater SWF (<inline-formula><mml:math id="M342" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.005771</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M343" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0013 stillbirths per kg; <inline-formula><mml:math id="M344" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>), indicating one fewer stillbirth per 17.3 kg increase in body weight. TLBW increased by 0.310 kg for each additional kilogram of SWF (<inline-formula><mml:math id="M345" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>) but decreased by 0.55 kg d<sup>−1</sup> for shorter gestation (<inline-formula><mml:math id="M347" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>). AWPB rose with longer gestation (<inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.03087</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M349" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0055 kg d<sup>−1</sup>; <inline-formula><mml:math id="M351" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Effects on lactation traits</title>
      <p id="d2e4356">FY, SF, and PN significantly affected one or more lactation traits (Table 3). For NPDLs, FY was significant (<inline-formula><mml:math id="M352" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0033</mml:mn></mml:mrow></mml:math></inline-formula>), and the TPB covariate indicated one additional death per 3.9 piglets born (<inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>). SWF also had a positive effect on mortality (<inline-formula><mml:math id="M354" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0461</mml:mn></mml:mrow></mml:math></inline-formula>).</p>

<table-wrap id="T3" specific-use="star"><label>Table 3</label><caption><p id="d2e4398">Least squares means and standard error for preweaning mortality (NPDLs), litter weaning weight adjusted to 21 d (LWW21), mean weaning weight (AWPW), and number weaned (NPWs) in multiparous sows by farrowing year, service season, and parity number.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Factor</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M357" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">NPDLs</oasis:entry>
         <oasis:entry colname="col4">LWW21</oasis:entry>
         <oasis:entry colname="col5">AWPW</oasis:entry>
         <oasis:entry colname="col6">NPWs</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Farrowing year</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0033</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M359" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M360" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula>0.0313</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M361" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2018</oasis:entry>
         <oasis:entry colname="col2">98</oasis:entry>
         <oasis:entry colname="col3">1.27 <inline-formula><mml:math id="M362" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.28<sup>b</sup></oasis:entry>
         <oasis:entry colname="col4">62.46 <inline-formula><mml:math id="M364" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.67<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">6.27 <inline-formula><mml:math id="M366" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">10.16 <inline-formula><mml:math id="M368" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.33<sup>a,b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2019</oasis:entry>
         <oasis:entry colname="col2">131</oasis:entry>
         <oasis:entry colname="col3">1.52 <inline-formula><mml:math id="M370" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.24<sup>c</sup></oasis:entry>
         <oasis:entry colname="col4">56.31 <inline-formula><mml:math id="M372" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.23<sup>b</sup></oasis:entry>
         <oasis:entry colname="col5">6.02 <inline-formula><mml:math id="M374" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">9.65 <inline-formula><mml:math id="M376" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.28<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2020</oasis:entry>
         <oasis:entry colname="col2">186</oasis:entry>
         <oasis:entry colname="col3">1.18 <inline-formula><mml:math id="M378" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.20<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col4">62.86 <inline-formula><mml:math id="M380" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.87<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">5.93 <inline-formula><mml:math id="M382" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.12<sup>b</sup></oasis:entry>
         <oasis:entry colname="col6">10.72 <inline-formula><mml:math id="M384" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.24<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2021</oasis:entry>
         <oasis:entry colname="col2">193</oasis:entry>
         <oasis:entry colname="col3">0.85 <inline-formula><mml:math id="M386" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">61.10 <inline-formula><mml:math id="M388" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.51<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">5.85 <inline-formula><mml:math id="M390" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10<sup>b</sup></oasis:entry>
         <oasis:entry colname="col6">10.59 <inline-formula><mml:math id="M392" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.20<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2022</oasis:entry>
         <oasis:entry colname="col2">278</oasis:entry>
         <oasis:entry colname="col3">0.94 <inline-formula><mml:math id="M394" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.11<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">60.60 <inline-formula><mml:math id="M396" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.03<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col5">5.89 <inline-formula><mml:math id="M398" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.07<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col6">10.44 <inline-formula><mml:math id="M400" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.13<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">2023</oasis:entry>
         <oasis:entry colname="col2">352</oasis:entry>
         <oasis:entry colname="col3">1.13 <inline-formula><mml:math id="M402" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col4">58.97 <inline-formula><mml:math id="M404" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.91<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col5">5.73 <inline-formula><mml:math id="M406" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.06<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col6">10.32 <inline-formula><mml:math id="M408" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.11<sup>a,b</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Farrowing season</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M410" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.4510</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M411" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.6122</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M412" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M413" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0447</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Spring</oasis:entry>
         <oasis:entry colname="col2">317</oasis:entry>
         <oasis:entry colname="col3">1.25 <inline-formula><mml:math id="M414" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.16</oasis:entry>
         <oasis:entry colname="col4">60.81 <inline-formula><mml:math id="M415" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.58</oasis:entry>
         <oasis:entry colname="col5">6.12 <inline-formula><mml:math id="M416" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">10.11 <inline-formula><mml:math id="M418" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.20<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Summer</oasis:entry>
         <oasis:entry colname="col2">291</oasis:entry>
         <oasis:entry colname="col3">1.09 <inline-formula><mml:math id="M420" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17</oasis:entry>
         <oasis:entry colname="col4">60.36 <inline-formula><mml:math id="M421" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.59</oasis:entry>
         <oasis:entry colname="col5">5.96 <inline-formula><mml:math id="M422" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10<sup>b</sup></oasis:entry>
         <oasis:entry colname="col6">10.31 <inline-formula><mml:math id="M424" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.20<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Autumn</oasis:entry>
         <oasis:entry colname="col2">321</oasis:entry>
         <oasis:entry colname="col3">1.16 <inline-formula><mml:math id="M426" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15</oasis:entry>
         <oasis:entry colname="col4">59.73 <inline-formula><mml:math id="M427" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.45</oasis:entry>
         <oasis:entry colname="col5">5.89 <inline-formula><mml:math id="M428" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09<sup>b</sup></oasis:entry>
         <oasis:entry colname="col6">10.35 <inline-formula><mml:math id="M430" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Winter</oasis:entry>
         <oasis:entry colname="col2">309</oasis:entry>
         <oasis:entry colname="col3">1.08 <inline-formula><mml:math id="M432" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15</oasis:entry>
         <oasis:entry colname="col4">60.63 <inline-formula><mml:math id="M433" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.39</oasis:entry>
         <oasis:entry colname="col5">5.84 <inline-formula><mml:math id="M434" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09<sup>b</sup></oasis:entry>
         <oasis:entry colname="col6">10.48 <inline-formula><mml:math id="M436" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Parity number</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M438" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.9797</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M439" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M440" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M441" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0423</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">1</oasis:entry>
         <oasis:entry colname="col2">271</oasis:entry>
         <oasis:entry colname="col3">1.14 <inline-formula><mml:math id="M442" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.13</oasis:entry>
         <oasis:entry colname="col4">61.68 <inline-formula><mml:math id="M443" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.21<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col5">6.03 <inline-formula><mml:math id="M445" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">10.24 <inline-formula><mml:math id="M447" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.16<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">2</oasis:entry>
         <oasis:entry colname="col2">233</oasis:entry>
         <oasis:entry colname="col3">1.08 <inline-formula><mml:math id="M449" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.13</oasis:entry>
         <oasis:entry colname="col4">64.70 <inline-formula><mml:math id="M450" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.24<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">6.16 <inline-formula><mml:math id="M452" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">10.62 <inline-formula><mml:math id="M454" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.16<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">3</oasis:entry>
         <oasis:entry colname="col2">209</oasis:entry>
         <oasis:entry colname="col3">1.14 <inline-formula><mml:math id="M456" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15</oasis:entry>
         <oasis:entry colname="col4">62.69 <inline-formula><mml:math id="M457" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.39<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">6.11 <inline-formula><mml:math id="M459" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">10.37 <inline-formula><mml:math id="M461" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18<sup>a</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">4</oasis:entry>
         <oasis:entry colname="col2">184</oasis:entry>
         <oasis:entry colname="col3">1.22 <inline-formula><mml:math id="M463" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17</oasis:entry>
         <oasis:entry colname="col4">61.67 <inline-formula><mml:math id="M464" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.56<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col5">6.01 <inline-formula><mml:math id="M466" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">10.45 <inline-formula><mml:math id="M468" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.20<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">5</oasis:entry>
         <oasis:entry colname="col2">139</oasis:entry>
         <oasis:entry colname="col3">1.13 <inline-formula><mml:math id="M470" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.20</oasis:entry>
         <oasis:entry colname="col4">59.95 <inline-formula><mml:math id="M471" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.83<sup>b</sup></oasis:entry>
         <oasis:entry colname="col5">5.89 <inline-formula><mml:math id="M473" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.12<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col6">10.38 <inline-formula><mml:math id="M475" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.23<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">6</oasis:entry>
         <oasis:entry colname="col2">112</oasis:entry>
         <oasis:entry colname="col3">1.21 <inline-formula><mml:math id="M477" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.23</oasis:entry>
         <oasis:entry colname="col4">57.87 <inline-formula><mml:math id="M478" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.08<sup>b,c</sup></oasis:entry>
         <oasis:entry colname="col5">5.87 <inline-formula><mml:math id="M480" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.14<sup>a,b</sup></oasis:entry>
         <oasis:entry colname="col6">10.11 <inline-formula><mml:math id="M482" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.27<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">7</oasis:entry>
         <oasis:entry colname="col2">90</oasis:entry>
         <oasis:entry colname="col3">1.12 <inline-formula><mml:math id="M484" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.25</oasis:entry>
         <oasis:entry colname="col4">54.12 <inline-formula><mml:math id="M485" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.29<sup>c</sup></oasis:entry>
         <oasis:entry colname="col5">5.57 <inline-formula><mml:math id="M487" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.15<sup>b</sup></oasis:entry>
         <oasis:entry colname="col6">10.02 <inline-formula><mml:math id="M489" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.30<sup>b</sup></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e4401"><sup>a, b, c</sup> Means within each factor with different superscripts are statistically different at <inline-formula><mml:math id="M356" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>.</p></table-wrap-foot></table-wrap>

      <p id="d2e6010">For LWW21, FY, PN, and CF were highly significant (<inline-formula><mml:math id="M491" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>). Each extra piglet born increased litter weaning weight by 1.38 kg (<inline-formula><mml:math id="M492" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>), and recipient sows achieved the highest LWW21 values (Table 4). AWPW was influenced by FY (<inline-formula><mml:math id="M493" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0313</mml:mn></mml:mrow></mml:math></inline-formula>), SF, PN, CF (<inline-formula><mml:math id="M494" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>), TPBs (negative; <inline-formula><mml:math id="M495" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.1239</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M496" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0088 kg per piglet; <inline-formula><mml:math id="M497" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>), and SWF (positive; <inline-formula><mml:math id="M498" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.00646</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M499" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0010 kg kg<sup>−1</sup>; <inline-formula><mml:math id="M501" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>).</p>

<table-wrap id="T4" specific-use="star"><label>Table 4</label><caption><p id="d2e6143">Least squares means and standard error for preweaning mortality (NPDLs), litter weaning weight adjusted to 21 d (LWW21), mean weaning weight (AWPW), and number weaned (NPWs) in multiparous sows by genetic group and cross-fostering.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Item</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M511" display="inline"><mml:mi>N</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3">NPDLs</oasis:entry>
         <oasis:entry colname="col4">LWW21</oasis:entry>
         <oasis:entry colname="col5">AWPW</oasis:entry>
         <oasis:entry colname="col6">NPWs</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Genetic group</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M512" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.8879</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M513" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0934</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M514" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.1243</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M515" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.3566</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L1</oasis:entry>
         <oasis:entry colname="col2">108</oasis:entry>
         <oasis:entry colname="col3">0.97 <inline-formula><mml:math id="M516" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.20</oasis:entry>
         <oasis:entry colname="col4">64.71 <inline-formula><mml:math id="M517" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.01</oasis:entry>
         <oasis:entry colname="col5">6.20 <inline-formula><mml:math id="M518" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.13</oasis:entry>
         <oasis:entry colname="col6">10.51 <inline-formula><mml:math id="M519" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.24</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L2</oasis:entry>
         <oasis:entry colname="col2">55</oasis:entry>
         <oasis:entry colname="col3">1.05 <inline-formula><mml:math id="M520" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.27</oasis:entry>
         <oasis:entry colname="col4">59.97 <inline-formula><mml:math id="M521" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.69</oasis:entry>
         <oasis:entry colname="col5">5.66 <inline-formula><mml:math id="M522" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.18</oasis:entry>
         <oasis:entry colname="col6">10.75 <inline-formula><mml:math id="M523" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.32</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L3</oasis:entry>
         <oasis:entry colname="col2">233</oasis:entry>
         <oasis:entry colname="col3">1.14 <inline-formula><mml:math id="M524" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.19</oasis:entry>
         <oasis:entry colname="col4">58.00 <inline-formula><mml:math id="M525" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.90</oasis:entry>
         <oasis:entry colname="col5">5.87 <inline-formula><mml:math id="M526" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.12</oasis:entry>
         <oasis:entry colname="col6">10.07 <inline-formula><mml:math id="M527" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.23</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L4</oasis:entry>
         <oasis:entry colname="col2">90</oasis:entry>
         <oasis:entry colname="col3">1.33 <inline-formula><mml:math id="M528" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.25</oasis:entry>
         <oasis:entry colname="col4">58.90 <inline-formula><mml:math id="M529" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.39</oasis:entry>
         <oasis:entry colname="col5">5.88 <inline-formula><mml:math id="M530" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.16</oasis:entry>
         <oasis:entry colname="col6">10.17 <inline-formula><mml:math id="M531" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.30</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L5</oasis:entry>
         <oasis:entry colname="col2">677</oasis:entry>
         <oasis:entry colname="col3">1.15 <inline-formula><mml:math id="M532" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.08</oasis:entry>
         <oasis:entry colname="col4">62.19 <inline-formula><mml:math id="M533" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.77</oasis:entry>
         <oasis:entry colname="col5">6.09 <inline-formula><mml:math id="M534" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.05</oasis:entry>
         <oasis:entry colname="col6">10.31 <inline-formula><mml:math id="M535" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">L6</oasis:entry>
         <oasis:entry colname="col2">38</oasis:entry>
         <oasis:entry colname="col3">1.19 <inline-formula><mml:math id="M536" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.31</oasis:entry>
         <oasis:entry colname="col4">58.95 <inline-formula><mml:math id="M537" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2.99</oasis:entry>
         <oasis:entry colname="col5">6.02 <inline-formula><mml:math id="M538" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.20</oasis:entry>
         <oasis:entry colname="col6">10.08 <inline-formula><mml:math id="M539" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.37</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">L7</oasis:entry>
         <oasis:entry colname="col2">37</oasis:entry>
         <oasis:entry colname="col3">1.21 <inline-formula><mml:math id="M540" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.31</oasis:entry>
         <oasis:entry colname="col4">59.97 <inline-formula><mml:math id="M541" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 3.10</oasis:entry>
         <oasis:entry colname="col5">5.93 <inline-formula><mml:math id="M542" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.20</oasis:entry>
         <oasis:entry colname="col6">10.29 <inline-formula><mml:math id="M543" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.37</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Cross-fostering</oasis:entry>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M544" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M545" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M546" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M547" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Neutral</oasis:entry>
         <oasis:entry colname="col2">664</oasis:entry>
         <oasis:entry colname="col3">1.48 <inline-formula><mml:math id="M548" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.14<sup>c</sup></oasis:entry>
         <oasis:entry colname="col4">59.80 <inline-formula><mml:math id="M550" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.42<sup>b</sup></oasis:entry>
         <oasis:entry colname="col5">6.03 <inline-formula><mml:math id="M552" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.09<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">10.13 <inline-formula><mml:math id="M554" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17<sup>b</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Donor</oasis:entry>
         <oasis:entry colname="col2">300</oasis:entry>
         <oasis:entry colname="col3">0.77 <inline-formula><mml:math id="M556" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.16<sup>a</sup></oasis:entry>
         <oasis:entry colname="col4">55.47 <inline-formula><mml:math id="M558" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.54<sup>c</sup></oasis:entry>
         <oasis:entry colname="col5">6.14 <inline-formula><mml:math id="M560" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10<sup>a</sup></oasis:entry>
         <oasis:entry colname="col6">9.21 <inline-formula><mml:math id="M562" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.19<sup>c</sup></oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Receiving</oasis:entry>
         <oasis:entry colname="col2">274</oasis:entry>
         <oasis:entry colname="col3">1.19 <inline-formula><mml:math id="M564" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.17<sup>b</sup></oasis:entry>
         <oasis:entry colname="col4">65.87 <inline-formula><mml:math id="M566" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1.57<sup>a</sup></oasis:entry>
         <oasis:entry colname="col5">5.69 <inline-formula><mml:math id="M568" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.10<sup>b</sup></oasis:entry>
         <oasis:entry colname="col6">11.60 <inline-formula><mml:math id="M570" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.20<sup>a</sup></oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e6146">L1: Yorkshire PIC <inline-formula><mml:math id="M502" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace Genesus, L2: Yorkshire PIC–Yorkshire Genesus <inline-formula><mml:math id="M503" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace Genesus, L3: Yorkshire PIC–Yorkshire Genesus <inline-formula><mml:math id="M504" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace Choice, L4: Yorkshire PIC–Landrace PIC <inline-formula><mml:math id="M505" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace Choice, L5: Yorkshire PIC <inline-formula><mml:math id="M506" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Landrace PIC, L6: Yorkshire PIC <inline-formula><mml:math id="M507" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Yorkshire PIC–Landrace PIC, and L7: Yorkshire PIC–Yorkshire Genesus <inline-formula><mml:math id="M508" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Yorkshire PIC–Landrace PIC. <sup>a, b, c</sup> Means within each factor with different superscripts are statistically different at <inline-formula><mml:math id="M510" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula>.</p></table-wrap-foot></table-wrap>

      <p id="d2e7004">For NPWs, AP (<inline-formula><mml:math id="M572" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>), PN (<inline-formula><mml:math id="M573" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0423</mml:mn></mml:mrow></mml:math></inline-formula>), and CF (<inline-formula><mml:math id="M574" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>) were significant. The TPB factor was positively associated with NPWs (<inline-formula><mml:math id="M575" display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M576" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.4201 <inline-formula><mml:math id="M577" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.018 piglets per piglet; <inline-formula><mml:math id="M578" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>), while SWF showed a negative relationship (<inline-formula><mml:math id="M579" display="inline"><mml:mrow><mml:mi mathvariant="italic">β</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.0083</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M580" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.0021 piglets per kg; <inline-formula><mml:math id="M581" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mi mathvariant="italic">&lt;</mml:mi><mml:mn mathvariant="normal">0.0001</mml:mn></mml:mrow></mml:math></inline-formula>).</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Genetic parameters</title>
      <p id="d2e7118">Heritability estimates (<inline-formula><mml:math id="M582" display="inline"><mml:mrow><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) were low (0.00–0.07) for most birth and weaning traits but moderate for LWW21 (0.21 <inline-formula><mml:math id="M583" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.124) and AWPW (0.13 <inline-formula><mml:math id="M584" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.085) (Table 5). Permanent environmental effects of the sow as a proportion of the phenotypic variance (<inline-formula><mml:math id="M585" display="inline"><mml:mrow><mml:msup><mml:mi>c</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) ranged from 0.06 to 0.17, suggesting a low to moderate impact of maternal effects on litter size and preweaning survival, with greater influence of permanent maternal environment on weaning traits.</p>

<table-wrap id="T5" specific-use="star"><label>Table 5</label><caption><p id="d2e7160">Genetic parameters for studied traits in multiparous sows by univariate analyses.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Trait</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M591" display="inline"><mml:mrow><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M592" display="inline"><mml:mrow><mml:msup><mml:mi>c</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M593" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M594" display="inline"><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M595" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula></oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">TPBs</oasis:entry>
         <oasis:entry colname="col2">0.06 <inline-formula><mml:math id="M596" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.045</oasis:entry>
         <oasis:entry colname="col3">0.06 <inline-formula><mml:math id="M597" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.040</oasis:entry>
         <oasis:entry colname="col4">0.12</oasis:entry>
         <oasis:entry colname="col5">0.87 <inline-formula><mml:math id="M598" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.033</oasis:entry>
         <oasis:entry colname="col6">9.986</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">PBAs</oasis:entry>
         <oasis:entry colname="col2">0.03 <inline-formula><mml:math id="M599" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.039</oasis:entry>
         <oasis:entry colname="col3">0.08 <inline-formula><mml:math id="M600" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.039</oasis:entry>
         <oasis:entry colname="col4">0.11</oasis:entry>
         <oasis:entry colname="col5">0.88 <inline-formula><mml:math id="M601" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.031</oasis:entry>
         <oasis:entry colname="col6">9.449</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">SPs</oasis:entry>
         <oasis:entry colname="col2">0.04 <inline-formula><mml:math id="M602" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.039</oasis:entry>
         <oasis:entry colname="col3">0.10 <inline-formula><mml:math id="M603" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.039</oasis:entry>
         <oasis:entry colname="col4">0.14</oasis:entry>
         <oasis:entry colname="col5">0.86 <inline-formula><mml:math id="M604" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.031</oasis:entry>
         <oasis:entry colname="col6">1.145</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">TLBW</oasis:entry>
         <oasis:entry colname="col2">0.04 <inline-formula><mml:math id="M605" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.051</oasis:entry>
         <oasis:entry colname="col3">0.15 <inline-formula><mml:math id="M606" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.048</oasis:entry>
         <oasis:entry colname="col4">0.19</oasis:entry>
         <oasis:entry colname="col5">0.81 <inline-formula><mml:math id="M607" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.034</oasis:entry>
         <oasis:entry colname="col6">15.799</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AWPB</oasis:entry>
         <oasis:entry colname="col2">0.07 <inline-formula><mml:math id="M608" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.057</oasis:entry>
         <oasis:entry colname="col3">0.15 <inline-formula><mml:math id="M609" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.050</oasis:entry>
         <oasis:entry colname="col4">0.22</oasis:entry>
         <oasis:entry colname="col5">0.78 <inline-formula><mml:math id="M610" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.036</oasis:entry>
         <oasis:entry colname="col6">0.067</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NPDLs</oasis:entry>
         <oasis:entry colname="col2">0.0 <inline-formula><mml:math id="M611" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.038</oasis:entry>
         <oasis:entry colname="col3">0.09 <inline-formula><mml:math id="M612" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.043</oasis:entry>
         <oasis:entry colname="col4">0.09</oasis:entry>
         <oasis:entry colname="col5">0.90 <inline-formula><mml:math id="M613" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.035</oasis:entry>
         <oasis:entry colname="col6">1.944</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LWW21</oasis:entry>
         <oasis:entry colname="col2">0.21 <inline-formula><mml:math id="M614" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.124</oasis:entry>
         <oasis:entry colname="col3">0.13 <inline-formula><mml:math id="M615" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.091</oasis:entry>
         <oasis:entry colname="col4">0.34</oasis:entry>
         <oasis:entry colname="col5">0.66 <inline-formula><mml:math id="M616" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.053</oasis:entry>
         <oasis:entry colname="col6">142.499</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">AWPW</oasis:entry>
         <oasis:entry colname="col2">0.13 <inline-formula><mml:math id="M617" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.085</oasis:entry>
         <oasis:entry colname="col3">0.15 <inline-formula><mml:math id="M618" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.068</oasis:entry>
         <oasis:entry colname="col4">0.28</oasis:entry>
         <oasis:entry colname="col5">0.73 <inline-formula><mml:math id="M619" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.045</oasis:entry>
         <oasis:entry colname="col6">0.673</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NPWs</oasis:entry>
         <oasis:entry colname="col2">0.0 <inline-formula><mml:math id="M620" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.039</oasis:entry>
         <oasis:entry colname="col3">0.17 <inline-formula><mml:math id="M621" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.049</oasis:entry>
         <oasis:entry colname="col4">0.17</oasis:entry>
         <oasis:entry colname="col5">0.83 <inline-formula><mml:math id="M622" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.037</oasis:entry>
         <oasis:entry colname="col6">2.624</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p id="d2e7163">Here <inline-formula><mml:math id="M586" display="inline"><mml:mrow><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is heritability, <inline-formula><mml:math id="M587" display="inline"><mml:mrow><mml:msup><mml:mi>c</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is the proportion of the maternal permanent variance with respect to phenotypic variance, <inline-formula><mml:math id="M588" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula> is the repeatability index, <inline-formula><mml:math id="M589" display="inline"><mml:mrow><mml:msup><mml:mi>e</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> is the environmental effect related to phenotypic variation, and <inline-formula><mml:math id="M590" display="inline"><mml:mrow><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> is phenotypic variance. Total born piglets (TPBs), live-born piglets (PBAs), stillbirths (SPs), total litter birth weight (TLBW), mean birth weight (AWPB), preweaning mortality (NPDLs), litter weaning weight adjusted to 21 d (LWW21), mean weaning weight (AWPW), and number weaned (NPWs).</p></table-wrap-foot></table-wrap>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d2e7705">In this study, FY had a significant influence on all reproductive and performance traits, corroborating earlier reports (Niyazov et al., 2020) that annual variation in sow productivity reflects changes in farm management, seasonal environmental conditions (photoperiod, temperature, humidity), and staff turnover. Between 2020 and 2023, TPBs peaked at 12.14 piglets per litter, surpassing the 11.8 reported by Lavery et al. (2019), under intensive management with dry and wet feeding during gestation. SP values were the lowest in the early years (0.25 piglets) but increased after 2019 (0.82 piglets), likely due to increased workload and herd size; these stillbirth rates remain lower than the 2.0 and 1.11 reported by Tani et al. (2016) for Landrace <inline-formula><mml:math id="M623" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> Large White sows (one to six parities) and by Rangstrup-Christensen et al. (2017) for  Landrace <inline-formula><mml:math id="M624" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> Yorkshire sows evaluated year round (<inline-formula><mml:math id="M625" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 6000 females), respectively.</p>
      <p id="d2e7729">TLBW rose steadily from <inline-formula><mml:math id="M626" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 14 kg in 2018–2021 to <inline-formula><mml:math id="M627" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> kg in 2022–2023, reflecting improvements in gestation feeding and sow comfort. Although Lavery et al. (2019) reported 17.7 kg in Ireland (2005–2015) under intensive systems with multiple feeding strategies and Yang et al. (2019) recorded 14.6 kg in intensively housed Yorkshire <inline-formula><mml:math id="M628" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> Landrace sows (one to nine parities), our data show a progressive increase in AWPB to 1.58 kg by 2022, exceeding the 1.50 kg reported by Lavery et al. (2019) and 1.37 kg by Adi et al. (2024). NPDLs fell below one piglet in 2021–2022 but reached 1.5 piglets in 2019, consistent with Torres Novoa and Hurtado Nery (2007). LWW21 consistently exceeded 60 kg in 2018–2021, aligning with Klimas et al. (2020) (<inline-formula><mml:math id="M629" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 61 kg for pure large White and Landrace sows at 21 d lactation) and outperforming the results of García-Munguía et al. (2014), who recorded 40.3 kg at 16 d in a technologically advanced system with early litter homogenization and creep feeding from day five. These gains likely reflect enhanced feeding and management protocols for both sows and piglets.</p>
      <p id="d2e7763">PN significantly affected most traits, in line with Lee et al. (2015), who noted that uterine capacity and physiological maturity peak in mid-parities. In our herd, parities three and four yielded the highest TPBs (11.86 and 12.01 piglets, respectively), exceeding the TPB values of Hernández et al. (2002) but falling below those of Klimas et al. (2020), who reported 12.1 piglets at parity four. First-parity sows had only 11.07 PBAs, lower than the 14.9 reported by Yang et al. (2019), under temperate conditions – likely due to our policy of culling after four parities. Litter birth weight and AWPB peaked in parities two and three, consistent with Petrocelli et al. (2021) and Tummaruk et al. (2023), who observed <inline-formula><mml:math id="M630" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">20</mml:mn></mml:mrow></mml:math></inline-formula> kg in hyperprolific sows at these parities due to improved embryo implantation and placental development. LWW21 was also the highest in parities two and three (64.7–62.6 kg), matching that of Klimas et al. (2020) (61.8 kg) and exceeding that of Yang et al. (2019) (58.4 kg), reflecting increased lactation capacity with age and experience. In gilts, mammary development and milk yield are still immature.</p>
      <p id="d2e7776">AWPW averaged <inline-formula><mml:math id="M631" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6 kg in first parities, declining by <inline-formula><mml:math id="M632" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 0.5 kg by parity seven, consistent with the results of Zotti et al. (2017) and Klimas et al. (2020) for 22 d lactations, though longer lactations (<inline-formula><mml:math id="M633" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">28</mml:mn></mml:mrow></mml:math></inline-formula> d) can yield <inline-formula><mml:math id="M634" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">7.5</mml:mn></mml:mrow></mml:math></inline-formula> kg per piglet (Lavery et al., 2019). NPWs peaked in parity two (10.62 piglets) (Nowak et al., 2020), underscoring the importance of parity-based management. Housing and supervision remain critical for piglet survival: farrowing crates reduce crushing risk (Koketsu and Iida, 2017), while free-range systems promote natural behaviors but can increase neonatal losses.</p>
      <p id="d2e7814">IS significantly influenced SPs, with the lowest values in spring (0.47 piglets) and the highest in winter (0.73 piglets), similar to the results of Tani et al. (2016), who associated cold stress with delayed farrowing and increased stillbirths. Spring–autumn farrowing produced heavier piglets at birth and weaning, likely due to milder conditions; however Kramarenko et al. (2024) and Suescún-Ospina and Ocampo-Duran (2015) reported that high spring–summer temperatures can reduce fetal growth by impairing sow feed intake and nutrient transfer to fetuses.</p>
      <p id="d2e7817">Cross-fostering (CF) emerged as a key management tool. Homogenizing litters within 48 h saved surplus piglets (<inline-formula><mml:math id="M635" display="inline"><mml:mrow><mml:mi mathvariant="italic">&gt;</mml:mi><mml:mn mathvariant="normal">15</mml:mn></mml:mrow></mml:math></inline-formula> piglets per litter) and low-weight piglets, especially when matched to good milk-producing sows with small litters. In donor sows, CF reduced mortality and improved survival of low-birth-weight piglets, in line with García-Munguía et al. (2014). Recipient sows gained in LWW21 and NPWs, but the trade-off between litter size and individual piglet weight was evident.</p>
      <p id="d2e7830">GG significantly affected TPBs, PBAs, and AWPB. The L5 line averaged 12.07 total piglets born per litter – exceeding pure Yorkshire (10.1 piglets; Ogawa et al., 2019) and comparable to Large White crosses (12.5 piglets; Hagan and Etim, 2019). Although Duroc <inline-formula><mml:math id="M636" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> Large White crosses can reach 14.2 piglets under climate-controlled conditions (Chakurkar et al., 2021), L5 sows here were naturally mated and housed in individual pens. L1 sows achieved the highest AWPB (1.67 kg), benefiting from higher daily feed allocation (4 kg d<sup>−1</sup>) and improved late-gestation housing conditions (Hoving et al., 2010; Ogawa et al., 2019).</p>
      <p id="d2e7852">Heritability estimates for farrowing traits were low (<inline-formula><mml:math id="M638" display="inline"><mml:mrow><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.00</mml:mn></mml:mrow></mml:math></inline-formula>–0.07), indicating strong environmental influences, consistent with Freyer (2018) (<inline-formula><mml:math id="M639" display="inline"><mml:mrow><mml:msup><mml:mi>h</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.07</mml:mn></mml:mrow></mml:math></inline-formula>–0.11). Repeatability for weight traits (0.19–0.34) was higher, matching Chansomboon et al. (2010) and Lee et al. (2015) and supporting the need for multiple records per sow to improve genetic evaluation. The heritability of TPBs (0.06) was lower than the value of 0.14 reported by Ehlers et al. (2005), likely due to a smaller dataset size and narrower genetic base. Notably, preweaning mortality exhibited  repeatability (0.09), driven almost entirely by a permanent environmental maternal effect (pe2 <inline-formula><mml:math id="M640" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.90 <inline-formula><mml:math id="M641" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 0.035). This suggests that a sow's behavior (e.g., aggression, crushing) is a consistent, major determinant of piglet survival across parities (Nguyen et al., 2021). Complementarily, as an opportunity for further management, a more complete data recording for better data number and genealogical structure analysis for genetic parameter estimation might improve future assessments focused on administration of genetic selection.</p>
      <p id="d2e7899">Overall, these findings highlight the multifactorial nature of sow productivity and demonstrate that optimizing reproductive outcomes requires coordinated management of environmental conditions, parity structure, genetic selection, and targeted interventions such as cross-fostering. The significant influence of year and season highlights the critical need for environmental control and consistent protocols to mitigate stressors like extreme temperature. Furthermore, the low heritability but notable repeatability of traits like preweaning mortality emphasizes that management practices, such as optimized feeding, parity-targeted care, and strategic cross-fostering, are more impactful for immediate improvement than genetic selection alone. Ultimately, sustained gains in litter size, piglet weight, and survival require an integrated, data-driven approach that simultaneously addresses housing, nutrition, staff training, and genetic potential.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e7911">Farrowing year, parity number, and genetic group consistently and significantly influenced sow prolificacy and piglet weights at birth and weaning. Insemination season mainly affected stillbirth rates, whereas weaning period had a marked impact on average piglet weaning weight. Sow body weight at farrowing and gestation length also played important roles, emphasizing the need for precise body-condition management and optimized breeding schedules to enhance productive efficiency. Litter homogenization within the first 48 h after farrowing significantly improved both sow and litter performance, reinforcing its value as a routine management practice to extend sow productive lifespan and increase profitability.</p>
      <p id="d2e7914">Heritability estimates were low for most traits, except for moderate values for total litter weaning weight and mean piglet weaning weight, confirming the predominance of environmental and management influences. Consequently, the integration of targeted genetic-selection programs, prioritizing lines with higher reproductive potential, with optimized nutritional, environmental, and health management protocols is essential for maximizing reproductive efficiency and economic returns in commercial swine production systems.</p>
</sec>

      
      </body>
    <back><notes notes-type="codeavailability"><title>Code availability</title>

      <p id="d2e7921">The statistical code used in this study is available from the corresponding author upon reasonable request.</p>
  </notes><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e7927">As the data originate from a commercial farm, there are privacy concerns associated with their public release. Therefore, the data are available from the authors upon reasonable request, pending permission from the commercial farm.</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e7933">Conceptualization, DGS, JFVA, and GMPB; methodology, DGS, JFVA, NLV, and GMPB; software, DGS and GMPB; validation, HHVV, BAP, GGT, NLV, and XFDR; formal analysis, DGS, NLV, and GMPB; investigation, HHVV, BAP, GGT, and XFDR; writing (original draft preparation), DGS, JFVA, NLV, and GMPB; writing (review and editing), HHVV, BAP, GGT, and XFDR. All authors have read and agreed to the published paper.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e7939">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="d2e7947">The study was conducted on a farm under standard rearing conditions and in accordance with Mexican regulations. Ethical review board approval was not required for this study.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e7953">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="d2e7959">The authors are grateful to Las Pulgas Swine Farm for granting access to the herd records used in this study. The first author gratefully acknowledges a scholarship from the Secretariat of Science, Humanities, Technology, and Innovation (Mx SECIHTI), Mexico.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e7964">This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e7970">This paper was edited by Antke-Elsabe Freifrau von Tiele-Winckler and reviewed by two anonymous referees.</p>
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