Biostatistics Unit, Institute of Crop Science, University of Hohenheim, Fruwirthstraße 23, 70599, Stuttgart, Germany.
Department of Crop Production Ecology, Swedish University of Agricultural Sciences, Box 7043, 750 07, Uppsala, Sweden.
Theor Appl Genet. 2021 May;134(5):1513-1530. doi: 10.1007/s00122-021-03786-2. Epub 2021 Apr 8.
We propose the utilisation of environmental covariates in random coefficient models to predict the genotype performances in new locations. Multi-environment trials (MET) are conducted to assess the performance of a set of genotypes in a target population of environments. From a grower's perspective, MET results must provide high accuracy and precision for predictions of genotype performance in new locations, i.e. the grower's locations, which hardly ever coincide with the locations at which the trials were conducted. Linear mixed modelling can provide predictions for new locations. Moreover, the precision of the predictions is of primary concern and should be assessed. Besides, the precision can be improved when auxiliary information is available to characterize the targeted locations. Thus, in this study, we demonstrate the benefit of using environmental information (covariates) for predicting genotype performance in some new locations for Swedish winter wheat official trials. Swedish MET locations can be stratified into zones, allowing borrowing information between zones when best linear unbiased prediction (BLUP) is used. To account for correlations between zones, as well as for intercepts and slopes for the regression on covariates, we fitted random coefficient (RC) models. The results showed that the RC model with appropriate covariate scaling and model for covariate terms improved the precision of predictions of genotypic performance for new locations. The prediction accuracy of the RC model was competitive compared to the model without covariates. The RC model reduced the standard errors of predictions for individual genotypes and standard errors of predictions of genotype differences in new locations by 30-38% and 12-40%, respectively.
我们建议在随机系数模型中利用环境协变量来预测新地点的基因型表现。多环境试验(MET)用于评估一组基因型在目标环境群体中的表现。从种植者的角度来看,MET 结果必须提供新地点基因型表现预测的高精度和高准确性,即种植者的地点,这些地点几乎从不与试验进行的地点重合。线性混合模型可以提供新地点的预测。此外,预测的精度是首要关注的问题,应该进行评估。此外,当有辅助信息可用于描述目标地点时,可以提高精度。因此,在这项研究中,我们展示了在瑞典冬小麦官方试验的一些新地点使用环境信息(协变量)预测基因型表现的好处。瑞典 MET 地点可以分层成区,允许在使用最佳线性无偏预测(BLUP)时在区之间借用信息。为了考虑区之间的相关性,以及协变量回归的截距和斜率,我们拟合了随机系数(RC)模型。结果表明,具有适当协变量缩放和协变量项模型的 RC 模型提高了对新地点基因型表现预测的精度。RC 模型的预测准确性与无协变量模型相当。RC 模型将个体基因型预测的标准误差和新地点基因型差异预测的标准误差分别降低了 30-38%和 12-40%。