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Originally published as Genetics Published Articles Ahead of Print on January 16, 2005.

Genetics, Vol. 169, 1727-1738, March 2005, Copyright © 2005
doi:10.1534/genetics.104.036236

Bayesian Analysis of an Admixture Model With Mutations and Arbitrarily Linked Markers

* Institut National de la Recherche Agronomique, Centre de Biologie et de Gestion des Populations (CBGP), Campus International de Baillarguet, 34988 Montferrier-sur-Lez Cedex, France
{dagger} Computational and Molecular Population Genetics Lab (CMPG), Zoological Institute, University of Bern, 3012 Bern, Switzerland

1 Corresponding author: Computational and Molecular Population Genetics Lab, Zoological Institute, University of Bern, Baltzerstrasse 6, 3012 Bern, Switzerland.
E-mail: laurent.excoffier{at}zoo.unibe.ch

We introduce here a Bayesian analysis of a classical admixture model in which all parameters are simultaneously estimated. Our approach follows the approximate Bayesian computation (ABC) framework, relying on massive simulations and a rejection-regression algorithm. Although computationally intensive, this approach can easily deal with complex mutation models and partially linked loci, and it can be thoroughly validated without much additional computation cost. Compared to a recent maximum-likelihood (ML) method, the ABC approach leads to similarly accurate estimates of admixture proportions in the case of recent admixture events, but it is found superior when the admixture is more ancient. All other parameters of the admixture model such as the divergence time between parental populations, the admixture time, and the population sizes are also well estimated, unlike the ML method. The use of partially linked markers does not introduce any particular bias in the estimation of admixture, but ML confidence intervals are found too narrow if linkage is not specifically accounted for. The application of our method to an artificially admixed domestic bee population from northwest Italy suggests that the admixture occurred in the last 10–40 generations and that the parental Apis mellifera and A. ligustica populations were completely separated since the last glacial maximum.




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