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Inferring Phenotypic Trait Evolution on Large Trees With Many Incomplete Measurements

在大量测量不完整的大型系统发育树上推断表型性状演化

Comparative biologists are often interested in inferring covariation between multiple biological traits sampled across numerous related taxa. To properly study these relationships, we must control for the shared evolutionary history of the taxa to avoid spurious inference. An additional challenge arises as obtaining a full suite of measurements becomes increasingly difficult with increasing taxa. This generally necessitates data imputation or integration, and existing…

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Consistency and convergence rate of phylogenetic inference via regularization

正则化系统发育推断的一致性与收敛速度

It is common in phylogenetics to have some, perhaps partial, information about the overall evolutionary tree of a group of organisms and wish to find an evolutionary tree of a specific gene for those organisms. There may not be enough information in the gene sequences alone to accurately reconstruct the correct "gene tree." Although the gene tree may deviate from the "species tree" due to a variety of genetic processes, in the absence of evidence to the contrary it is…

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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…

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