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Activity Number:
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227
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Type:
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Contributed
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Date/Time:
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Tuesday, August 10, 2004 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Bayesian Statistical Science
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| Abstract - #300613 |
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Title:
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Hierarchical Models with Migration, Mutation, and Drift
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Author(s):
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Seongho Song*+ and Dipak K. Dey and Kent E. Holsinger
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Companies:
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University of Connecticut and University of Connecticut and University of Connecticut
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Address:
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Dept. of Statistics, Storrs, CT, 06269-4120,
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Keywords:
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F-statistics ; finite-island model ; genetic drift ; hierarchical population structure ; migration ; mutation
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Abstract:
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Hierarchical structure arises naturally in genetic models. Individuals belonging to the same population are more similar to one another 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 among subpopulations and the correlation between populations and subpopulations vanish for the large size of population and subpopulation. Also we discuss some implications of our results based on Wright's F-statistics as measures of population structure.
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