Under the infinitely many sites mutation model, the mutational
history of a sample of DNA sequences can be described by a unique gene tree.
We show how to find the conditional distribution of the ages of the mutations
and the time to the most recent common ancestor of the sample, given this gene
tree. Explicit expressions for such distributions seem impossible to find for
the sample sizes of interest in practice. We resort to a Monte Carlo method to
approximate these distributions. We use this method to study the effects of
variable population size and variable mutation rates, the distribution of the
time to the most recent common ancestor of the population and the distribution
of other functionals of the underlying coalescent process, conditional on the
sample gene tree.
Publié le : 1999-08-14
Classification:
Ages of mutations,
ancestral inference,
coalescent process,
gene trees,
population genetics,
samples of DNA,
60J70,
62M05,
65U05,
92D10,
92D20
@article{1029962804,
author = {Griffiths, R. C. and Tavar\'e, Simon},
title = {The ages of mutations in gene trees},
journal = {Ann. Appl. Probab.},
volume = {9},
number = {1},
year = {1999},
pages = { 567-590},
language = {en},
url = {http://dml.mathdoc.fr/item/1029962804}
}
Griffiths, R. C.; Tavaré, Simon. The ages of mutations in gene trees. Ann. Appl. Probab., Tome 9 (1999) no. 1, pp. 567-590. http://gdmltest.u-ga.fr/item/1029962804/