The sows utilized in this study were sourced from the reproductive herd of a commercial pig farm, which adhered to the good agricultural practices as prescribed by the National Bureau of Agricultural Commodity and Food Standards. The performance data of the sows were extracted from a comprehensive and regularly updated database maintained by the farm. Ethical clearance for the study was obtained from the Institutional Animal Care and Use Committee of Kasetsart University, with approval number ACKU60-AGR-007.
Data, animals, and traits
This study was approved by the IACUC of Kasetsart University (approval number: ACKU60-AGR-007). The data for this study were obtained from a swine database recording system (PigCHAMP) in a single farm located in Northern Thailand. The dataset comprised sow reproduction records from the first to the last or tenth parity containing identification number, breed group, sire, dam, birth date, farrowing date, weaning date, NBA, LTBW, NPW, and LTWW. To ensure data quality, the original dataset of 14,604 sows underwent thorough editing to remove records with missing, erroneous, or incomplete information. Sows without recorded birth date, farrowing date, or weaning date were excluded, as well as gilts with a first farrowing before 350 days or after 550 days. Only litters with at least first parity records were included in the analysis, and parities greater than 10 were excluded. Approximately 33% of records were excluded from the original dataset due to incomplete information. This rigorous data editing process ensured the reliability and integrity of the dataset and set the foundation for robust and meaningful analyses. The final edited dataset encompassed 49,145 reproduction records from 9,830 sows and 1,359 boars. Reproduction data were gathered from July 1989 to December 2013. Four breed group of sows were included in the analysis: Landrace (L; n = 2,124), Yorkshire (Y; n = 724), Landrace×Yorkshire (LY; n = 2,650), and Yorkshire×Landrace (YL; n = 4,332). Purebred L and Y sows were the progeny of 640 sires (395 L and 245 Y) and 1,319 dams (895 L and 424 Y), and crossbred LY and YL sows were the progeny of 969 sires (608 L and 361 Y) and 2,674 dams (1,608 L and 1,066 Y). A total of 260 Duroc (D) boars were represented in the dataset for the three-breed terminal crosses. Four reproduction traits (NBA, LTBW, NPW, and LTWW) were considered for analysis.
Climate, nutrition, and management
This study was conducted at a single commercial swine farm located in Northern Thailand, between latitude 18° 47′ 43″ North and longitude 98° 59′ 55rime; East, at an elevation of 310 meters above sea level. The farm experienced three distinct seasons, namely winter (November to February), summer (March to June), and rainy (July to October). Over the course of the 24-year study period, the average outdoor temperature in this region ranged from an average minimum of 17°C to an average maximum of 35°C, with relative humidity ranging from an average minimum of 37% to an average maximum of 99%. The average annual rainfall varied from an average minimum of 880 mm to an average maximum of 1,457 mm over the past thirteen years.
Gilts and sows were reared in an open-house system equipped with water drippers, sprinklers, and fans, while boars were housed in an evaporative cooling system (EVAP) to mitigate the effects of the tropical climate. Females that had their first farrowing in the same year-season were assumed to have received similar feeding and management. Ad-libitum water was provided to the animals through water nipples. Gilts and non-lactating sows were fed twice a day and had an approximate intake of 2.5 kg/d of feed containing 16% crude protein and 3,200 to 3,500 kcal/kg. Nursing sows were fed four times a day and had an approximate intake of 5 to 6 kg/d of feed containing 17% to 18% crude protein and 4,060 kcal/kg.
Estrus was detected twice daily utilizing the back-pressure test and boar exposure as standard protocols. Gilts and sows exhibiting signs of standing heat in front of the boar, along with clear reddening and swelling of the vulva, were identified as being in estrus. Artificial insemination was the sole method of mating employed in this study. Gilts were mated after their third observed estrus or at 8 to 9 months of age, or when their body weight reached approximately 140 kg. Sows were mated after their second observed estrus. The first insemination was carried out within 12 hours of the onset of estrus, followed by a second insemination 12 hours later. Sows were housed in individual stalls during mating and gestation and kept in individual pens along with their litters during lactation. Pregnant gilts and sows were housed in gestating stalls until 7 days prior to being moved to farrowing pens. Sows were transferred to mating stalls after weaning. Piglets were weaned when they reached a body weight of 5 to 7 kg or were between 26 and 30 days of age.
Statistical analysis
Variance and covariance components were estimated using restricted maximum likelihood (REML) procedures, employing the Average Information Restricted Maximum Likelihood (AI-REML) algorithm implemented in the ASREML program [
13]. The preliminary statistical analysis of NBA, LTBW, NPW, and LTWW utilized a single trait mixed animal repeatability model. The mixed animal repeatability model for each trait included the fixed effects of contemporary groups (first farrowing year-seasons), additive genetic group of the sow (based on the Y fraction of the sow), sow heterosis as a function of the heterozygosity of the sow (probability of alleles of different breeds at a single locus of the sow), litter heterosis as a function of the heterozygosity of the litter (probability of alleles of different breeds at a single locus of the litter), as well as covariates for age at first farrowing (ranging from 12 to 18 months) and days to weaning (applicable to NPW and LTWW only). The random effects in the single trait mixed repeatability model were sow, boar, and residual. The single trait mixed repeatability model in matrix notation is as follows:
where y is a vector of records for NBA, LTBW, NPW, or LTWW, b is a vector of first farrowing year-seasons, covariates for age at first farrowing (mo), parity of sow, and days to weaning (d), ga is a vector of regression additive genetic group effects (difference between Y and L as a function of Y fraction), gn is a vector of heterosis effects of the sow and the litter, aa is a vector of random animal additive genetic effects, X is an incidence matrix of ones and zeroes that relates sow records to elements of vector b, pe is a vector of random permanent environment effects uncorrelated to animal additive genetic effects, Zga is an incidence matrix of expected Y fractions of sows that relates sow records to elements of vector ga, Zgn is an incidence matrix of heterozygosities of the sow and the litter that relates sow records to elements of vector gn, Za is an incidence matrix of ones and zeroes that relates sow records to elements of vector aa, W is an incidence matrix of ones and zeroes that relates sow records to elements of vector pe, and e is a vector of residuals. Expectations and (co)variance matrices of random variables in the mixed repeatability model were:
where A is the is the additive relationship matrix among all animals in the pedigree file (19,824 animals, 1,829 sires, and 4,473 dams), I represents identity matrices for permanent environmental and residual effects,
σa2 is the additive genetic variance,
σpe2 is the permanent environmental variance, and
σe2 is the residual variance. Covariances between random effects were assumed to be zero.
Multiple trait analyses were conducted for two data sets. The first dataset included NBA, LTBW, NPW, and LTWW records from the first to the fourth parity. The NBA, LTBW, NPW, and LTWW records from different parities were considered to be different traits. Thus, a 4-trait mixed animal model analysis was conducted for each reproduction trait (NBA, LTBW, NPW, and LTWW). The 4-trait mixed animal model in matrix notation was as follows:
where y is the vector of records for each reproduction trait (NBA, LTBW, NPW, or LTWW) in parities 1 to 4, b is a vector of contemporary group (first farrowing year-season) effects and covariates for age at first farrowing (mo) and days to weaning (d), ga is a vector of regression additive genetic group effects (difference between Y and L as a function of Y fraction), gn is a vector of heterosis effects of the sow and the litter, aa is a vector of random animal additive genetic effects, e is a vector of random residuals, X is an incidence matrix of ones and zeroes that relates sow records to elements of vector b, Zga is an incidence matrix of expected Y fractions of sows that relates sow records to elements of vector ga, Zgn is an incidence matrix of heterozygosities of the sow and the litter that relates sow records to elements of vector gn, and Za is an incidence matrix of ones and zeroes that relates sow records to elements of vector aa. The assumptions of the 4-trait mixed animal model were as follows:
where Ga = G0 ⊗ A, G0 is a 4×4 matrix of additive genetic variances and covariances for a single reproduction trait (NBA, LTBW, NPW, or LTWW) in parities 1 to 4, ⊗ is direct product, and A is the additive relationship matrix among all animals in the pedigree file (19,824 animals, 1,829 sires, and 4,473 dams). The pedigree file included all sows, all boars mated to L sows (L boars for purebred matings; Y boars for F1 LY crossbred matings), Y sows (Y boars for purebred matings; L boars for F1 YL crossbred matings), and LY and YL sows (mated only to D boars to produce three-breed terminal crossbred pigs for market), and all known relatives. Lastly, matrix R = R0 ⊗ I, where R0 is a 4×4 matrix of residual variances and covariances for a single reproduction trait (NBA, LTBW, NPW, or LTWW) in parities 1 to 4, and I is an identity matrix.
The estimation of heritabilities, additive genetic correlations, and phenotypic correlations involves analyzing the variance and covariance components associated with the four parities for all reproduction traits. Heritability (h2) is a measure of the proportion of the phenotypic variance attributed to additive genetic factors, calculated as the ratio of the additive genetic variance (
σa2) to the phenotypic variance (
σa2+σe2). The additive genetic variance (
σa2) represents the variability arising from additive genetic differences among individuals, while the environmental variance (
σe2) captures the variability due to non-genetic factors. To assess the additive genetic relationship between traits x and y, the additive genetic covariance (cova(x,y)), which quantifies the joint variability due to additive genetic factors, is divided by the square root of the product of the additive genetic variances (vara(x) and vara(y)) for each respective trait. This calculation yields the additive genetic correlation (ra) between the two traits. Similarly, this methodology can be applied to determine phenotypic correlations, which capture the overall association between traits, including both genetic and environmental influences.
Reproduction records (NBA, LTBW, NPW, and LTWW) were classified into three groups in the second dataset. Group 1 included first parity records only, group 2 contained second parity records only, and group 3 contained sums of NBA, LTBW, NPW, and LTWW records from the third to the last parity. Reproduction records in parities 1, 2, and 3+ (third and later parities) were considered to be different traits. Thus, a 3-trait mixed animal model was utilized to analyze each reproduction trait in the second dataset. The expression for the 3-trait mixed animal model is as in equation 2. The assumptions for the 3-trait mixed animal model were as follows:
where Ga = G0 ⊗ A, G0 is a 3×3 matrix of additive genetic variances and covariances for a single reproduction trait (NBA, LTBW, NPW, or LTWW) in parities 1 to 3+, matrix R = R0 ⊗ I, R0 is a 3×3 matrix of residual variances and covariances for a single reproduction trait (NBA, LTBW, NPW, or LTWW) in parities 1 to 3+, and all other vectors and matrices are as defined for the 4-trait mixed animal model used for the first dataset. Similarly, the estimated variance and covariance components were used to compute heritabilities, additive genetic correlations, and phenotypic correlations between the three parities for the four reproduction traits.