Invariants of phylogenies in a simple case with discrete states
type: Item
instance of: scholarly article
title: Invariants of phylogenies in a simple case with discrete states
zbMATH Open document ID: 0612.62142
DOI: 10.1007/BF01890075
author: James A. Cavender
author: Joseph Felsenstein
published in: Journal of Classification
publication date: 1987-01-01T00:00:00Z
review text: Under a simple model of transition between two states, we can work out the probabilities of different data outcomes in four species with any given phylogeny. For a given tree topology, if all characters are evolving under the same probabilistic model, there are two quadratic forms in the frequencies of outcomes that must be zero. It may be possible to test the null hypothesis that the tree is of a particular topology by testing whether these quadratic forms are zero. One of the tests is a test for independence in a simple \(2\times 2\) contingency table. If there are differences of evolutionary rate among characters, these quadratic forms will no longer necessarily be zero.
Mathematics Subject Classification ID: 62P10
Mathematics Subject Classification ID: 62H30
Mathematics Subject Classification ID: 92D10
zbMATH DE Number: 3990719
zbMATH Keywords: invariants of phylogenies
zbMATH Keywords: tree topology
zbMATH Keywords: quadratic forms
zbMATH Keywords: test for independence
zbMATH Keywords: contingency table
describes a project that uses: fastDNAml
MaRDI profile type: Publication
cites work: Taxonomy with confidence
cites work: Tests of phylogenetic hypotheses under generalized models
cites work: Q5538132
cites work: Statistical Inference of Phylogenies
full work available at URL: https://doi.org/10.1007/bf01890075
OpenAlex ID: W2039087339
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description: scientific article; zbMATH DE number 3990719