Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6372434 | Theoretical Population Biology | 2011 | 7 Pages |
Abstract
Determining the expected distribution of the time to the most recent common ancestor of a sample of individuals may deliver important information about the genetic markers and evolution of the population. In this paper, we introduce a new recursive algorithm to calculate the distribution of the time to the most recent common ancestor of the sample from a population evolved by any conditional multinomial sampling model. The most important advantage of our method is that it can be applied to a sample of any size drawn from a population regardless of its size growth pattern. We also present a very efficient method to implement and store the genealogy tree of the population evolved by the Galton-Watson process. In the final section we present results applied to a simulated population with a single bottleneck event and to real populations of known size histories.
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Authors
Tomasz WojdyÅa, Marek Kimmel, Adam Bobrowski,