JSM 2005 - Toronto

Abstract #304254

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 265
Type: Contributed
Date/Time: Tuesday, August 9, 2005 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #304254
Title: Hierarchical Bayesian Analysis of Genetic Diversity in Geographically Structured Populations
Author(s): Seongho Song*+ and Dipak Dey and Kent E. Holsinger
Companies: University of Connecticut and University of Connecticut and University of Connecticut
Address: 215 Glenbrook Rd. U-4120, Storrs, CT, 06269-4120, United States
Keywords: Finite-island model ; Hierarchical population structure ; Microsatellite Loci ; Stepwise Mutation Model ; Genetic Drift ; Migration and Mutation
Abstract:

Hierarchical structure arises naturally in genetic models. Individuals belonging to the same population are more similar than are those belonging to different populations. Using properties of moment stationarity, we develop exact expressions for the mean and covariance of allele frequencies at a single locus for the two-level hierarchical structure subject to drift, mutation, and migration. For arbitrary mutation and migration matrices, we generalize previous results to multilevel hierarchical model. Consequently, we have closed-form expressions for the mean and covariance of allele frequencies in Wright's finite-island model with constant hierarchical migration and several mutations. It turns out that the correlation among populations and subpopulations and the correlation between populations and subpopulations vanish for the large size of population and subpopulation. Under more general conditions, we also developed the exact expression for the first two moments of allele frequencies distribution using Singular Value Decomposition. We consider stepwise mutation model with microsatellite loci as one example. Also, we discuss implications of our results.

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