Meyer K
Animal Genetics and Breeding Unit, University of New England, Armidale NSW, Australia.
J Anim Breed Genet. 2005 Apr;122(2):73-85. doi: 10.1111/j.1439-0388.2005.00503.x.
Estimates of covariance functions and genetic parameters were obtained for growth of Angus cattle from birth to 820 days of age. Data comprised 84,533 records on 20,731 animals in 43 herds, with a high proportion of animals with 4 or more weights recorded. Changes in weights were modelled through random regression on orthogonal polynomials of age at recording. A total of 11 combinations of quadratic, cubic, quartic and quintic polynomials to model direct and maternal genetic effects and permanent environmental effects were considered. Results showed good agreement for all models at ages with many records, but differed at the highest ages and at very early ages with few weights available. Cubic polynomials appeared to be most problematic. The order of polynomial fit for permanent environmental effects of the animal dominated estimates of phenotypic variances and mean squares for residual errors. A model fitting a quartic polynomial for these effects and quadratic polynomials for the other random effects, appeared to be the best compromise between detailedness of the model which could be supported by the data, plausibility of results, and fit, measured as mean square error.
对安格斯牛从出生到820日龄的生长情况进行了协方差函数和遗传参数估计。数据包括43个牛群中20,731头动物的84,533条记录,其中有4次或更多体重记录的动物比例很高。体重变化通过对记录时年龄的正交多项式进行随机回归建模。共考虑了11种二次、三次、四次和五次多项式的组合,用于模拟直接遗传效应、母体遗传效应和永久环境效应。结果表明,在有许多记录的年龄,所有模型的一致性都很好,但在最高年龄和记录体重很少的非常早期年龄有所不同。三次多项式似乎问题最大。动物永久环境效应的多项式拟合阶数主导了表型方差估计和残差均方。对于这些效应拟合四次多项式,对其他随机效应拟合二次多项式的模型,似乎是在数据支持的模型详细程度、结果合理性和以均方误差衡量的拟合度之间的最佳折衷。