Using invariants for phylogenetic tree construction

Details Using invariants for phylogenetic tree construction Using invariants for phylogenetic tree construction

2007-09-18

arxiv.org/abs/0709.2890v2

Biology

Quantitative Biology

Populations and Evolution

19 pages, 7 figures. To appear in Emerging Applications of Algebraic Geometry, I.M.A. Volumes in Mathematics and its Applicati

Scientific paper

Phylogenetic invariants are certain polynomials in the joint probability distribution of a Markov model on a phylogenetic tree. Such polynomials are of theoretical interest in the field of algebraic statistics and they are also of practical interest--they can be used to construct phylogenetic trees. This paper is a self-contained introduction to the algebraic, statistical, and computational challenges involved in the practical use of phylogenetic invariants. We survey the relevant literature and provide some partial answers and many open problems.

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