Stochastic Models for Speciation Events in Phylogenetic trees

Details Stochastic Models for Speciation Events in Phylogenetic trees Stochastic Models for Speciation Events in Phylogenetic trees

2006-10-30

arxiv.org/abs/math/0610919v1

Mathematics

Combinatorics

Diplom Thesis

Scientific paper

In a phylogenetic tree, we often don't have information about the time a speciation event (inner node) occured. Under a neutral model for speciation, I develop fast algorithms for calculating the probability that an inner node i is the k-th speciation event. For the Yule and the coalescent model, I develop an edge length estimation as well. Various properties of the Yule model are discussed throughout the thesis.

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