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

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IR-57456

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10.1016/0893-9659(92)90016-3

Steel92spectralFinal published version, 369 KB

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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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AU - Steel, M.A.

AU - Hendy, M.D.

AU - Székely, L.A.

AU - Erdös, P.L.

PY - 1992

Y1 - 1992

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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.

KW - IR-57456

U2 - 10.1016/0893-9659(92)90016-3

DO - 10.1016/0893-9659(92)90016-3

M3 - Article

SN - 0893-9659

VL - 5

SP - 63

EP - 67

JO - Applied mathematics letters

JF - Applied mathematics letters

IS - 6

ER -

Spectral analysis and a closest tree method for genetic sequences

Abstract

Keywords

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