Do Branch Lengths Help to Locate a Tree in a Phylogenetic Network?

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Do branch lengths help to locate a tree in a phylogenetic network?

Phylogenetic networks are increasingly used in evolutionary biology to represent the history of species that have undergone reticulate events such as horizontal gene transfer, hybrid speciation and recombination. One of the most fundamental questions that arise in this context is whether the evolution of a gene with one copy in all species can be explained by a given network. In mathematical te...

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Phylogenetic trees and networks are leaf-labelled graphs that are used to describe evolutionary histories of species. The Tree Containment problem asks whether a given phylogenetic tree is embedded in a given phylogenetic network. Given a phylogenetic network and a cluster of species, the Cluster Containment problem asks whether the given cluster is a cluster of some phylogenetic tree embedded ...

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The evolution of aligned DNA sequence sites is generally modeled by a Markov process operating along the edges of a phylogenetic tree. It is well known that the probability distribution on the site patterns at the tips of the tree determines the tree and its branch lengths. However, the number of patterns is typically much larger than the number of edges, suggesting considerable redundancy in t...

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ژورنال

عنوان ژورنال: Bulletin of Mathematical Biology

سال: 2016

ISSN: 0092-8240,1522-9602

DOI: 10.1007/s11538-016-0199-4