Identifiability and inference of non-parametric rates-across-sites models on large-scale phylogenies

Elchanan Mossel; Sebastien Roch

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arXiv · 1108.0129

Identifiability and inference of non-parametric rates-across-sites models on large-scale phylogenies

Elchanan Mossel·Sebastien Roch

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Abstract

Mutation rate variation across loci is well known to cause difficulties, notably identifiability issues, in the reconstruction of evolutionary trees from molecular sequences. Here we introduce a new approach for estimating general rates-across-sites models. Our results imply, in particular, that large phylogenies are typically identifiable under rate variation. We also derive sequence-length requirements for high-probability reconstruction. Our main contribution is a novel algorithm that clusters sites according to their mutation rate. Following this site clustering step, standard reconstruction techniques can be used to recover the phylogeny. Our results rely on a basic insight: that, for large trees, certain site statistics experience concentration-of-measure phenomena.

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BibTeX RIS

Elchanan Mossel, Sebastien Roch. 2011-07-31. Identifiability and inference of non-parametric rates-across-sites models on large-scale phylogenies. https://arxiv.org/abs/1108.0129

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