Asymptotic theory with hierarchical autocorrelation: Ornstein–Uhlenbeck tree models
层级自相关下的渐近理论:Ornstein–Uhlenbeck 树模型
Hierarchical autocorrelation in the error term of linear models arises when sampling units are related to each other according to a tree. The residual covariance is parametrized using the tree-distance between sampling units. When observations are modeled using an Ornstein–Uhlenbeck (OU) process along the tree, the autocorrelation between two tips decreases exponentially with their tree distance. These models are most often applied in evolutionary biology, when tips…