Bayesian Inference for Estimating Migration Rate, Mutation Rate, and Population Size in Microsatellite Loci

• Activity Number: 386
• Type: Contributed
• Date/Time: Wednesday, August 9, 2006 : 8:30 AM to 10:20 AM
• Sponsor: Section on Bayesian Statistical Science
• Author(s): Seongho Song*+ and Dipak Dey and Kent E. Holsinger
• Companies: University of Cincinnati and University of Connecticut and University of Connecticut
• Keywords: multivariate logistic transformation ; genetic diversity ; microsatellite loci ; migration rate ; mutation rate ; population size

Abstract

We propose various plausible models for the allele frequency distribution having a specific mean and covariance structure studied in Song et al(2005). Several models are proposed to estimate evolutionary parameters including migration (m), mutation rate (mu) and population size(N). First, we suggest the method of moments approaches to match population covariances to sample covariance, as an ad hoc approach, and propose the statistical model using truncated multivariate Normal distribution and multivariate Logistic Normal distribution, respectively, with specific covariance structures within and among populations. We also illustrate the prior information about the evolutionary parameters which are migration (m), mutation rate (mu) and population size (N). As an application, microsatellite human data will be discussed.