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University of Aarhus, Faculty of Agricultural Sciences, Department of Genetics and Biotechnology, DK-8830, Tjele, Denmark
| Abstract |
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Key Words: genetic correlation heritability litter size mortality survival
| INTRODUCTION |
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Selection for total number of piglets born since 1992 has led to an increase in this trait in Danish Landrace and Danish Yorkshire, but also to an increase in piglet mortality, and it has been further observed that most cases of death occurred at birth and during the following 5 d (A. Vernersen, DanBred International, Copenhagen, Denmark, personal communication). Thus, it is expected that selection for litter size at d 5 will capture a large part of the genetic variance for piglet survival, and thereby will be more effective than selection for total number born with regard to genetic improvement of litter size at weaning and piglet survival.
Litter size and piglet survival rate are usually treated as traits of the sow. However, the fertilization capacity of the service-sire and the genotype of the piglet could have an effect on these traits (Strang, 1970
; Hill and Webb, 1982
; See et al., 1993
; Woodward et al., 1993
; Van der Lende et al., 1999
). It therefore seems reasonable to estimate genetic parameters for these traits based on a model that includes effects of sow and service-sire.
The objectives of this study were 1) to present estimates of genetic and phenotypic parameters for litter size, 2) to report preliminary results involving piglet survival, and 3) to test the hypothesis that expected selection response for litter size at weaning could be increased by changing the selection criterion from total number born to number alive at d 5 in Danish sow populations.
| MATERIALS AND METHODS |
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Populations and Data
Data were collected from 43 nuclear farms of Danish Landrace and Danish Yorkshire during the period from May 2002 to December 2004. Pedigrees for sows and service-sires were traced back 5 generations or more. The structure of the data set is shown in Table 1
. Sows were kept under commercial conditions, and all matings took place using AI. At farrowing, the total number of piglets born and the number of dead piglets (regarded as stillbirth) were recorded. Piglets were weighed individually within 2 d (80% within l d) after farrowing. Piglet mortality, BW, and the cause and date of death were registered during the preweaning period. Litter weight was recorded at weaning (average 21.27 d; range 19 to 23 d).
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The traits under analysis were total number of piglets born (TNB), number of piglets born alive (NBA), litter size at d 5 (N5D), litter size at weaning (about 3 wk, N3W), survival rate at birth (SVB), survival rate during early preweaning [i.e., from birth to d 5 (SV5)], and survival rate during late preweaning [i.e., from d 5 to weaning (SVW)]. The NBA was defined as TNB minus the number that died at farrowing (stillborn piglets). The N5D and N3W were measured on the basis of the number of piglets of the biological sow, ignoring the cross-fostering effect. Survival rates were defined as: SVB = NBA/TNB, SV5 = N5D/NBA, and SVW = N3W/N5D. The SV5 and SVW were calculated on the basis of the piglets remaining in their own litter (i.e., the piglets involved in cross-fostering were excluded from the analysis of SV5 and SVW). For example, a litter had TNB = 16 and NBA = 14, 2 piglets were moved out at d 1 and 1 piglet from another litter was moved in at d 3; among the 12 piglets (14 2) staying in their own litter, 2 died before or at d 5, and 1 died after d 5. The survival rates for this litter were calculated as SVB = 14/16, SV5 = 10/12, and SVW = 9/10, without considering the mortality of the 2 piglets moved out and the one moved in.
Statistical Analysis
Litter size and survival rate at different stages were analyzed using multiple-trait models. The basic model to describe the observations of litter size was
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and the basic model for survival rate was
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where y is the vector of observations; b is the vector of fixed effects including farm, year-season, and parity; c is the vector of farm x year-season interaction effects treated as random to avoid confounding with other effects in the model due to very few observations in some combinations of farms and year-seasons; pd is the vector of sow permanent effects; ps is the vector of service-sire permanent effects; d is the vector of genetic effects of sow; s is the vector of genetic effects of service-sire; e is the vector of random residuals; and X, Wc, Wpd, Wps, Zd, and Zs are incidence matrices associating b, c, pd, ps, d, and s with y. The random effects were assumed to be independent of each other, except for d and s, which were assumed to be correlated.
The (co)variance components for litter size at different stages were estimated using a 4-trait model (TNB, NBA, N5D, and N3W), and for survival rates at different periods using a 3-trait model (SVB, SV5, and SVW). The correlations between litter size and survival rate were estimated pairwise using a 2-trait model. All random effects were assumed to be normally distributed. Thus,
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where C0, D0, S0, G0, and R0 are covariance matrixes for herd x year-season effects, permanent effects of sow, permanent effects of service-sire, additive genetic effects of sow and service sire, and residuals, respectively, I is the identity matrix, and A is the matrix of additive genetic relationships among animals in the pedigree.
Phenotypic variance (
2p) was defined as
2p =
2pd +
2ps +
2d +
2s +
2e for litter size and
2p =
2pd +
2d +
2s +
2e for survival, where
2pd was the variance of permanent effects of sow,
2ps was the variance of permanent effects of service-sire,
2d was the variance of sow additive genetic effects,
2s was the variance of service-sire additive genetic effects, and
2e was the residual variance. Heritability was defined as the ratio of sow additive genetic variance to phenotypic variance (h2sow =
2d/
2p; i.e., both litter size and survival rate were considered traits of the sow). Correspondingly, the genetic correlation between any pair of traits was defined as the correlation between the sow additive genetic effects on the traits.
Standard error for a function of estimated (co)variances (F = f(
)) was estimated using an expansion of the Taylor series:
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where n was the number of variables in the function, Var(
i) was the asymptotic variance of
I, and Cov(
I,
j) was the asymptotic covariance between
I and
j. Thus, the square of SE for variance component k in proportion to phenotypic variance
was
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For a correlation coefficient
![]() |
The asymptotic (co)variances for the estimates of (co)-variance components were obtained from the approximated observed information matrix. The asymptotic (co)variances related to the estimated phenotypic (co)-variance were calculated as a linear combination of the asymptotic (co)variances of the components involved.
An additional analysis was conducted for survival rates in the arc-sine scale. The arcsine transformation, yt = arcsin(
), is often used for binomial proportions. In the transformation, a zero survival rate was counted as 1/4n and a 100% survival rate as (n
)/n, where n is litter size at the start point. In the current study, inferences from the transformed scale were almost identical to those based on the original scale; therefore, we presented results based on the original scale only.
The analyses were performed using the average information (AI) REML procedure (Jensen et al., 1997
) with the DMU package (Madsen and Jensen, 2004
).
| RESULTS |
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2p) was almost constant for the 4 traits. Relative to the phenotypic variance, estimates for sire additive genetic effects (g2sire) ranged from 0.026 to 0.041 in Landrace and from 0.012 to 0.017 in Yorkshire. Furthermore, there was a tendency for sow and sire additive genetic components to increase with the age of the piglets. Estimates of the variance component associated with sow permanent effects (PEsow) for litter size were close to 0.10 at all 4 stages in both populations. Estimates of the variance component associated with sire permanent effects (PEsire) ranged from 0.017 to 0.030 in Landrace and from 0.023 to 0.049 in Yorkshire, with a tendency to decrease with increasing number of days from farrowing. Estimates of repeatability for sows ranged from 0.145 to 0.218, and for service sires ranged from 0.040 to 0.065. All correlations between sire and sow additive genetic effects were positive.
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| DISCUSSION |
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The estimates of heritability for TNB and NBA are lower than average figures reported in the literature. As reviewed by Haley et al. (1988)
, most estimates of heritability for litter size are close to 0.1. However, one can expect variation among populations. Long-term selection for this trait could also reduce genetic variation to some extent. The effect of selection on genetic variability has been demonstrated by some studies (e.g., Bulmer, 1971
). In the current study, estimates of heritability for litter size in Danish Landrace were larger than those in Danish Yorkshire. This agrees with the observation that selection response for TNB in Landrace was larger than that in Yorkshire, despite the fact that similar selection pressures were applied. In addition, it was found that the estimates of heritability for TNB and NBA were smaller than those for N5D and N3W in both populations. This could be partly explained by the effect of long-term selection for TNB.
For litter size, the variance component associated with service-sire permanent effects ranged from 0.017 to 0.030 in Landrace and from 0.023 to 0.049 in Yorkshire. This component is not related to the genotype of the piglet, but accounts for variation of sire permanent effects on sire fertility. The estimated variance components were consistent with reports in previous studies (e.g., See et al., 1993
; Woodward et al., 1993
; Van der Lende et al., 1999
; Hamann et al., 2004
). On the other hand, the variance component of sire genetic effects on litter size reflects sire fertility and the contribution to embryo survival through the offsprings genotype. The repeatability of sire for litter size ranged from 0.040 to 0.065. Therefore, it is reasonable to include service-sire effects in a model for genetic evaluation of litter size. In addition, the correlation between sow genetic effects and service-sire genetic effects was small, but positive. This result is in line with the findings by Hamann et al. (2004)
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Previous studies have reported low estimates of heritability for piglet mortality or survival rate, with an average of 0.05 (at the level of the litter and as a trait of the sow), as reviewed by Rothschild and Bidanel (1998)
. However, there is rather large variation among estimates from different studies. For example, Lamberson and Johnson (1984)
reported an estimate of heritability for preweaning survival of 0.03, whereas Ferguson et al. (1985)
reported a value of 0.14 in Yorkshire and 0.18 in Duroc. Damgaard et al. (2003)
reported a heritability of 0.13 for proportion of stillbirths in Swedish Yorkshire. Our preliminary analysis showed that heritabilities (based on the sow component) for SVB and SV5 were substantial in Danish Landrace (0.130 and 0.131) and Danish Yorkshire (0.095 and 0.043), suggesting that genetic improvement of piglet survival rate at farrowing and during the early sucking period could be effective. Heritability for SVW was close to zero in Landrace and Yorkshire, probably due to very low mortality during this period in the 2 populations. Moreover, phenotypic correlations among the 3 survival rates were very low (0.067 to 0.128), and genetic correlations ranged from 0.100 to 0.495. This indicates that the genetic backgrounds for piglet mortality at the 3 stages may be different.
The estimated proportions of the genetic variation due to service-sire for survival rates were low (ranged from 0.002 to 0.034), but statistically significantly different from zero, for the 3 survival rates in Landrace, and for SV5 in Yorkshire. If piglet survival is regarded as a trait of the piglet, the sire component of genetic variance is equal to 1/4 of the additive genetic variance, and the estimates of sire variance component correspond to direct heritabilities for survival rate (based on litter record) ranging from 0.008 to 0.136. A more thorough study is necessary to investigate direct additive genetic effects on piglet survival.
Because of the difficulties in evaluating breeding values for N3W due to cross-fostering, genetic improvement of this trait by direct selection is not feasible. Therefore, genetic improvement in litter size at weaning has often focused on selection for TNB. However, selection for TNB alone leads to an increase in perinatal and preweaning mortality. High genetic correlations (about 0.5) between TNB and number of dead piglets have been reported in previous studies (Lobke et al., 1983
; Robinson and Quinton, 2002
). In the current study, estimates of the genetic correlation between TNB and the 3 survival rates were all negative. Similarly, Lund et al. (2002)
reported a negative maternal genetic correlation between TNB and perinatal and preweaning survival rate in Finnish Landrace (0.16 and 0.39) and in Finnish Yorkshire (0.14 and 0.01). An argument based on a Taylor series expansion indicates that the negative genetic correlation between TNB and piglet survival should lead to a reduction in genetic correlation between TNB and N3W. This has been confirmed by the current study (0.289 in Danish Landrace and 0.531 in Danish Yorkshire).
Selection for TNB since 1992 has led to a total response of 3.8 and 3.0 piglets per litter (calculated as the difference in estimated breeding values between 1992 and 2004) in Danish Landrace and Danish Yorkshire, respectively (Nielsen, 2004
). However, during this period, there was also an increase in perinatal and preweaning mortality in the 2 populations. As shown in the current study, total mortality of piglets was 31.3% in Landrace and 26.6% in Yorkshire. The values for total mortality are similar to those reported in previous studies on dam lines under selection for TNB (Serenius et al., 2003
; Arango et al., 2006
). Moreover, Landrace has shown a higher selection response for TNB than Yorkshire (Nielsen, 2004
), but as shown in the current study, also a higher stillbirth rate. Similarly, Johnson et al. (1999)
and Petry and Johnson (2004)
reported that selection based on an index including ovulation rate and embryonic survival had an unfavorable effect on number of stillborn piglets.
Contrary to TNB, genetic correlations between N5D and piglet survival rates (especially SVB and SV5) were moderately positive, and the genetic correlation between N5D and N3W was close to 1. Moreover, results from a pilot study (not shown) involving cross-fostering data show that the nursing sow has a small effect on piglet survival rate during the first 5 d after birth. This implies that breeding values for N5D can be predicted ignoring the influence of cross-fostering. All of these results suggest that selection for N5D could be a good alternative approach to genetic improvement of N3W and piglet survival.
In conclusion, the current study shows that total number of piglets born has a negative genetic correlation with piglet survival rate and a low to moderate positive genetic correlation with litter size at weaning. On the other hand, the genetic correlation between litter size at d 5 and piglet survival rate was moderately positive, and between litter size at d 5 and at weaning was close to 1. These results suggest changing the selection criterion from total number born to number of piglets alive at d 5 in pig breeding programs. This approach is expected to effectively improve litter size at weaning and piglet survival rate.
| Footnotes |
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2 Corresponding author: guosheng.su{at}agrsci.dk
Received for publication September 15, 2006. Accepted for publication February 26, 2007.
| LITERATURE CITED |
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