Maximum-Likelihood Estimation of Coalescence Times in Genealogical Trees
Author(s) -
Loukia Meligkotsidou,
Paul Fearnhead
Publication year - 2005
Publication title -
genetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.792
H-Index - 246
eISSN - 1943-2631
pISSN - 0016-6731
DOI - 10.1534/genetics.105.043067
Subject(s) - coalescent theory , maximum likelihood , expectation–maximization algorithm , coalescence (physics) , inference , biology , approximate bayesian computation , estimator , population , statistics , confidence interval , mathematics , maximization , algorithm , genetics , computer science , mathematical optimization , gene , artificial intelligence , phylogenetic tree , demography , astrobiology , sociology
We develop a method for maximum-likelihood estimation of coalescence times in genealogical trees, based on population genetics data. For this purpose, a Viterbi-type algorithm is constructed to maximize the joint likelihood of the coalescence times. Marginal confidence intervals for the coalescence times based on the profile likelihoods are also computed. Our method of finding MLEs and calculating C.I.'s appears to be more accurate than alternative numerical maximization methods, and maximum-likelihood inference appears to be more accurate than other existing model-free approaches to estimating coalescent times. We demonstrate the method on two different data sets: human Y chromosome DNA data and fungus DNA data.
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