Ka. Weigel et al., IDENTIFICATION OF FACTORS CAUSING HETEROGENEOUS WITHIN-HERD VARIANCE-COMPONENTS USING A STRUCTURAL MODEL FOR VARIANCES, Journal of dairy science, 76(5), 1993, pp. 1466-1478
Many applications of mixed linear statistical models for genetic evalu
ation of dairy cattle assume that genetic and residual components of v
ariance are each constant across environments. However, this assumptio
n is violated for production and conformation traits, which can reduce
accuracy of selection and cause biases in the proportions of breeding
animals chosen from each environment. Best linear unbiased prediction
can accommodate heterogeneous variances if the appropriate variance c
omponents are known. Variance components may need to be estimated with
in individual herds using Bayesian or empirical Bayes methods, but suc
h approaches may not yet be computationally feasible on a national bas
is. For this study, a structural log-linear model for sire and residua
l variances was used to identify various management factors associated
with differences in within-herd variance components. Increases of her
d size and within-herd mean were associated with significant increases
of within-herd residual variance for milk and fat yields, but residua
l variance of milk yield decreased slightly as the proportion of regis
tered animals in the herd increased. Type of milking system, silage st
orage system, DHI testing program, use or nonuse of a TMR, and use or
nonuse of automatic milking machine removal devices also significantly
affected residual variances. However, differences in sire variances a
cross levels of management factors were not significant.