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The Annals of Applied Probability
The reconstruction of phylogenies from DNA or protein sequences is a major task of computational evolutionary biology. Common phenomena, notably variations in mutation rates across genomes and incongruences between gene lineage histories, often make it necessary to model molecular data as originating from a mixture of phylogenies. Such mixed models play an increasingly important role in practice.
Using concentration of measure techniques, we show that mixtures of large trees are typically identifiable. We also derive sequence-length requirements for high-probability reconstruction.
phylogenetic reconstruction, random trees, concentration of measure
Mossel, E., & Roch, S. (2012). Phylogenetic Mixtures: Concentration of Measure in the Large-Tree Limit. The Annals of Applied Probability, 22 (6), 2429-2459. http://dx.doi.org/10.1214/11-AAP837
Date Posted: 27 November 2017
This document has been peer reviewed.