2015/01/10 by Jing Xi, Jin Xie, Xi, Jing +3
Biochemistry, Genetics and Molecular Biology · #FOS: Biological sciences #Populations and Evolution (q-bio.PE) #q-bio.PE
paper · pdf · doi:10.48550/arxiv.1501.02374
18 pages, 11 figures
arxiv created 2016/02/04 · arxiv updated 2016/02/05
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 "biological 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 (n ≥ 4); 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 given the species tree. We show some theoretical results as well as simulation study on these distributions.