De Veer J C, Van Vleck L D
J Dairy Sci. 1987 Jul;70(7):1434-41. doi: 10.3168/jds.S0022-0302(87)80166-2.
A multivariate linear model was used to estimate sire variance and covariance components and residual variance components for first lactation milk yield and logarithms of yield at three herd production levels using Restricted Maximum Likelihood with the Expectation-Maximization algorithm. Data for four separate analyses were 305-d, mature equivalent first lactation milk records from cows sired artificially in the northeastern United States that freshened in 1970, 1971, 1976, and 1984. Respective numbers of records for each year were 42,618, 40,207, 33,581, and 34,196. Corresponding numbers of sires were 298, 289, 305, and 313. Herd production level was defined by mean yield of all cows freshening in same herd-year-season. For untransformed records sire and residual components of variance increased as mean increased, both within and between years. Correlations between sire effects at different production levels were all above .85. Heritabilities increased as production level increased. These results indicate that it may be necessary to account for heterogeneous genetic and environmental variance in sire evaluations. For logarithms of yield, sire components of variance were similar for each of the three production levels within a year. Residual components for logarithms decreased as production level increased. Change in variance from one production level to another was considerably more for logarithms than for untransformed yields.
使用限制最大似然法和期望最大化算法,通过多元线性模型估计了三个牛群生产水平下初产奶量及产量对数的父系方差分量、协方差分量和残差方差分量。四次独立分析的数据为1970年、1971年、1976年和1984年在美国东北部人工授精产犊的母牛的305天成熟当量初产奶记录。每年的记录数量分别为42618、40207、33581和34196。相应的父系数量分别为298、289、305和313。牛群生产水平由同一年 herd-year-season 内所有产犊母牛的平均产量定义。对于未转换的记录,父系方差分量和残差分量在年内和年际间均随平均值增加而增加。不同生产水平下父系效应之间的相关性均高于0.85。遗传力随生产水平的提高而增加。这些结果表明,在父系评估中可能有必要考虑遗传和环境方差的异质性。对于产量对数,一年内三个生产水平各自的父系方差分量相似。产量对数的残差分量随生产水平的提高而降低。从一个生产水平到另一个生产水平,产量对数的方差变化比未转换产量的方差变化大得多。