论文标题
我们什么时候可以重建祖先？超越布朗运动
When can we reconstruct the ancestral state? Beyond Brownian motion
论文作者
论文摘要
重建一组物种的祖先状态有助于回答进化生物学中的许多重要问题。因此，重要的是要了解我们何时可以准确估计祖先状态。先前的作品提供了一种必要且充分的条件，称为大爆炸条件，用于在离散特征演化模型和布朗运动模型下存在准确的重建方法。在本文中，我们将此结果扩展到了广泛的连续特征演化模型。特别是，我们考虑了一种一般环境，其中连续特征根据满足某些规律性条件的随机过程沿着树的发展。我们验证了流行的连续特征进化模型，包括Ornstein-Uhlenbeck，反射Brownian运动和Cox-Ingersoll-Ross的这些条件。
Reconstructing the ancestral state of a group of species helps answer many important questions in evolutionary biology. Therefore, it is crucial to understand when we can estimate the ancestral state accurately. Previous works provide a necessary and sufficient condition, called the big bang condition, for the existence of an accurate reconstruction method under discrete trait evolution models and the Brownian motion model. In this paper, we extend this result to a wide range of continuous trait evolution models. In particular, we consider a general setting where continuous traits evolve along the tree according to stochastic processes that satisfy some regularity conditions. We verify these conditions for popular continuous trait evolution models including Ornstein-Uhlenbeck, reflected Brownian Motion, and Cox-Ingersoll-Ross.
