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Counting phylogenetic invariants in some simple cases

Counting phylogenetic invariants in some simple cases

Journal of Theoretical Biology 152(3): 357-376

An informal degrees of freedom argument is used to count the number of phylogenetic invariants in cases where we have three or four species and can assume a Jukes-Cantor model of base substitution with or without a molecular clock. A number of simple cases are treated and in each the number of invariants can be found. Two new classes of invariants are found: non-phylogenetic cubic invariants testing independence of evolutionary events in different lineages, and linear phylogenetic invariants which occur when there is a molecular clock. Most of the linear invariants found by Cavender (1989, Molec. Biol. Evol. 6, 301-316) turn out in the Jukes-Cantor case to be simple test of symmetry of the substitution model, and not phylogenetic invariants.

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Accession: 007165971

Download citation: RISBibTeXText

PMID: 1749255

DOI: 10.1016/s0022-5193(05)80200-0

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