A Bayesian approach to geographical genetics
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Transcript of A Bayesian approach to geographical genetics
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A Bayesian approach to geographical genetics
What in the FST is going on?
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What is FST?
Why be Bayesian?
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You are here
Hillis, D. M., D. Zwickl, R. Gutell. University of Texas
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Erickson, R. O. Annals of the Missouri Botanical Garden 32:413-460; 1945
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•Genetic drift
Wright. Genetics 16:97-159;1931.
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•Genetic drift•Mutation
Wright. Genetics 16:97-159;1931.
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•Genetic drift•Mutation•Migration
Wright. Genetics 16:97-159;1931.
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•Genetic drift:•Mutation:•Migration:
Evolutionary process parameters• Determine characteristics of
the evolutionary process
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Variance of allele frequencies among populations
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Statistical parameters• Determine
statistical distributions
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Method of moments• Calculate expectations of
sample statistics• Equate parameters to
expectations• Solve linear equations
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Statistical parameters• Determine
statistical distributionsBayesian method
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Statistical parameters• Determine
statistical distributionsMethod of moments and
Bayesian method estimate the same parameters
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?
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This formulation – Wright
(nearly) equivalent formulation using identity by descent – Malécot
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Statistical parameters• Determine
statistical distributionsMethod of moments and
Bayesian method estimate the same parameters
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Why be Bayesian?
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Formal models clarify thinking
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Flexible models encourage exploration
Guo et al. Journal of the American Statistical Association 164:142-154; 2009.
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Start with an idea (the prior)
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Start with an idea (the prior)
Collect some data (the likelihood)
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Start with an idea (the prior)
Collect some data (the likelihood)
Reach a conclusion (the posterior)