Weigel K A, Lawlor T J
Holstein Association of America, Brattleboro, VT 05301.
J Dairy Sci. 1994 Jun;77(6):1691-701. doi: 10.3168/jds.S0022-0302(94)77111-3.
A method was developed to account for heterogeneous phenotypic variance for final type (conformation) score within herd-year-month-classifier subclasses for national genetic evaluations of US Holsteins. Phenotypic variances decreased 3.5-fold as within-subclass means increased from 70 to 89 points, and variances increased slightly over time and with increases in subclass size and proportion of registered animals. A model containing known management characteristics was fitted to phenotypic standard deviations within subclass, and resulting solutions were used to estimate the prior variance for each subclass. Prior estimates and phenotypic variance estimates within subclass were combined using Bayesian methods, resulting in posterior estimates that contained more information than either the prior estimates or the within-subclass statistics. Observations were standardized to a common variance using the mean of the posterior density of the phenotypic standard deviation within subclass. Moderate changes in PTA occurred for low reliability bulls, bulls with many progeny in a single herd, and foreign bulls subjected to positive assortative mating. Significant increases occurred in PTA of superior cows in subclasses with high means. Incorporation of a heterogeneous variance adjustment into national genetic evaluations should increase fairness of selection among cows and young bulls and may increase the rate of genetic gain from female selection.
开发了一种方法,用于在美国荷斯坦牛的国家遗传评估中,考虑畜群-年份-月份-分类器子类内最终类型(体型)评分的异质表型方差。随着子类内均值从70分增加到89分,表型方差降低了3.5倍,并且方差随时间略有增加,同时随着子类规模和注册动物比例的增加而增加。将包含已知管理特征的模型拟合到子类内的表型标准差,并使用所得解来估计每个子类的先验方差。使用贝叶斯方法将子类内的先验估计值和表型方差估计值相结合,得到的后验估计值比先验估计值或子类内统计量包含更多信息。使用子类内表型标准差后验密度的均值将观测值标准化为共同方差。对于可靠性低的公牛、在单个畜群中有许多后代的公牛以及进行正向选型交配的外国公牛,其预测传递能力(PTA)发生了适度变化。在均值较高的子类中,优秀母牛的PTA显著增加。将异质方差调整纳入国家遗传评估应会提高母牛和年轻公牛选择的公平性,并可能提高雌性选择的遗传增益率。