Distributions of topological tree metrics between a species tree and a gene tree

作者：Xi Jing; Xie Jin; Yoshida Ruriko^*

来源：Annals of the Institute of Statistical Mathematics, 2017, 69(3): 647-671.

DOI：10.1007/s10463-016-0557-x

• Coalescent
• Phylogenetics
• Tree metrics
• Tree topologies

In order to conduct a statistical analysis on a given set of phylogenetic gene trees, we often use a distance measure between two trees. In a statistical distance-based method to analyze discordance between gene trees, it is a key to decide "biologically meaningful" and "statistically well-distributed" distance between trees. Thus, in this paper, we study the distributions of the three tree distance metrics: the edge difference, the path difference, and the precise K interval cospeciation distance, between two trees: First, we focus on distributions of the three tree distances between two random unrooted trees with n leaves (); and then we focus on the distributions the three tree distances between a fixed rooted species tree with n leaves and a random gene tree with n leaves generated under the coalescent process with the given species tree. We show some theoretical results as well as simulation study on these distributions.

• 出版日期2017-6