Stochastic Models for Speciation Events in Phylogenetic trees

2006/10/30 by Tanja Gernhard, Gernhard, Tanja
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Mathematics · #Combinatorics (math.CO) #Evolution and Paleontology Studies #FOS: Biological sciences #FOS: Mathematics #Genomics and Phylogenetic Studies #Populations and Evolution (q-bio.PE) #Probability (math.PR) #math.CO #math.PR #q-bio.PE

paper · pdf · doi:10.48550/arxiv.math/0610919

Diplom Thesis

openalex publication_date 2006/10/30 · arxiv created 2015/10/18 · arxiv updated 2015/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related

• Estimating the relative order of speciation or coalescence events on a given phylogeny
• Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models
• On the distribution of interspecies correlation for Markov models of character evolution on Yule trees
• Macro-evolutionary models and coalescent point processes: The shape and probability of reconstructed phylogenies
• The reconstructed tree in the lineage-based model of protracted speciation