Time to the MRCA of a sample in a Wright-Fisher model with variable population size
| Autor: | Adam Bobrowski, Marek Kimmel, Tomasz Wojdyla |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Most recent common ancestor
Population Density education.field_of_study Time Factors Models Genetic Population size Population Sample (statistics) Biological Evolution Bottleneck Galton–Watson process Variable (computer science) Genetics Population Statistics Econometrics education Ecology Evolution Behavior and Systematics Algorithms Event (probability theory) Mathematics |
| Zdroj: | Theoretical population biology. 80(4) |
| ISSN: | 1096-0325 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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