具有迁移的Ornstein-Uhlenbeck过程：相互作用的演化
The Ornstein-Uhlenbeck process with migration: evolution with interactions
摘要：
Ornstein-Uhlenbeck（Ornstein-Uhlenbeck）过程在分析表型性状沿单基因的进化中起着重要作用。标准的进化过程包括漂移和稳定选择，并假设物种独立进化。然而，特别是在植物中，有充分的证据表明在进化过程中存在杂交和基因渗入。在这项工作中，我们提出了一个统计方法与分析解决方案，允许在一个共同的系统发育框架中的适应和迁移。此外，我们提出了一个详细的模拟研究，清楚地表明忽略迁移的不利影响。物种间的相似性，由于迁移可能会被误解为非常强的趋同进化没有适当的纠正这些额外的依赖性。我们的模型也可以用于研究同一物种内种群之间的局部适应。最后，我们表明，我们的模型可以解释在物种之间的生态相互作用，提供了一个一般的框架之间的“相互作用”的物种或种群的性状的进化。
英文摘要：
The Ornstein-Uhlenbeck (OU) process plays a major role in the analysis of the evolution of phenotypic traits along phylogenies. The standard OU process includes drift and stabilizing selection and assumes that species evolve independently. However, especially in plants, there is ample evidence of hybridization and introgression during evolution. In this work we present a statistical approach with analytical solutions that allows for the inclusion of adaptation and migration in a common phylogenetic framework. We furthermore present a detailed simulation study that clearly indicates the adverse effects of ignoring migration. Similarity between species due to migration could be misinterpreted as very strong convergent evolution without proper correction for these additional dependencies. Our model can also be useful for studying local adaptation among populations within the same species. Finally, we show that our model can be interpreted in terms of ecological interactions between species, providing a general framework for the evolution of traits between "interacting" species or populations.
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