Phylogenetic Mixtures: Concentration of Measure in the Large-Tree Limit

Details Phylogenetic Mixtures: Concentration of Measure in the Large-Tree Limit Phylogenetic Mixtures: Concentration of Measure in the Large-Tree Limit

2011-08-15

arxiv.org/abs/1108.3112v1

Mathematics

Probability

Scientific paper

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 mixtureof 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.

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