田间试验的空间模型
Spatial Models for Field Trials
摘要：
农业田间试验分析的一个重要目的是通过校正空间效应来获得对基因型表现的良好预测。在实践中，这些校正结果是复杂的，因为可能有不同类型的空间效应;那些由于管理干预应用于现场地块和那些由于各种不稳定的空间趋势。本文提出了模型的田间试验中，随机空间组成的张量积惩罚样条（P-样条）。一个特殊的方差分析类型的重新制定导致五个光滑的附加空间分量，这形成了一个混合模型的基础与五个未知的方差分量。在该空间场之上，基因型、区组、重复和/或空间变异的其他来源的效应以标准方式通过混合模型来描述。我们展示了遗传力的几种定义与有效维度或与遗传成分相关的有效自由度之间的关系。大规模的现场试验表明，该方法。提供了一个R包。
英文摘要：
An important aim of the analysis of agricultural field trials is to obtain good predictions for genotypic performance, by correcting for spatial effects. In practice these corrections turn out to be complicated, since there can be different types of spatial effects; those due to management interventions applied to the field plots and those due to various kinds of erratic spatial trends. This paper presents models for field trials in which the random spatial component consists of tensor product Penalized splines (P-splines). A special ANOVA-type reformulation leads to five smooth additive spatial components, which form the basis of a mixed model with five unknown variance components. On top of this spatial field, effects of genotypes, blocks, replicates, and/or other sources of spatial variation are described by a mixed model in a standard way. We show the relation between several definitions of heritability and the effective dimension or the effective degrees of freedom associated to the genetic component. The approach is illustrated with large-scale field trial experiments. An R-package is provided.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
