Spectral analysis and a closest tree method for genetic sequences

M.A. Steel; M.D. Hendy; L.A. Székely; P.L. Erdös

doi:10.1016/0893-9659(92)90016-3

Spectral analysis and a closest tree method for genetic sequences

M.A. Steel, M.D. Hendy, L.A. Székely, P.L. Erdös

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Abstract

We describe a new method for estimating the evolutionary tree linking a collection of species from their aligned four-state genetic sequences. This method, which can be adapted to provide a branch-and-bound algorithm, is statistically consistent provided the sequences have evolved according to a standard stochastic model of nucleotide mutation. Our approach exploits a recent group-theoretic description of this model.

Original language	English
Pages (from-to)	63-67
Journal	Applied mathematics letters
Volume	5
Issue number	6
DOIs	https://doi.org/10.1016/0893-9659(92)90016-3
Publication status	Published - 1992

Keywords

IR-57456

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10.1016/0893-9659(92)90016-3

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title = "Spectral analysis and a closest tree method for genetic sequences",

abstract = "We describe a new method for estimating the evolutionary tree linking a collection of species from their aligned four-state genetic sequences. This method, which can be adapted to provide a branch-and-bound algorithm, is statistically consistent provided the sequences have evolved according to a standard stochastic model of nucleotide mutation. Our approach exploits a recent group-theoretic description of this model.",

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AB - We describe a new method for estimating the evolutionary tree linking a collection of species from their aligned four-state genetic sequences. This method, which can be adapted to provide a branch-and-bound algorithm, is statistically consistent provided the sequences have evolved according to a standard stochastic model of nucleotide mutation. Our approach exploits a recent group-theoretic description of this model.

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