Abstract

We develop a sampling theory for genes sampled from a population evolving with deterministically varying size. We use a coalescent approach to provide recursions for the probabilities of particular sample configurations, and describe a Monte Carlo method by which the solutions to such recursions can be approximated. We focus on infinite-alleles, infinite-sites and finite-sites models. This approach may be used to find maximum likelihood estimates of parameters of genetic interest, and to test hypotheses about the varying environment. The methods are illustrated with data from the mitochondrial control region sampled from a North American Indian tribe.

Keywords

Coalescent theorySampling (signal processing)TribePopulationPopulation geneticsMonte Carlo methodAllelePopulation sizeSample (material)Focus (optics)Sample size determinationStatisticsStatistical physicsBiologyMathematicsComputer scienceGeneticsGenePhysicsPhylogenetics

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Publication Info

Year
1994
Type
article
Volume
344
Issue
1310
Pages
403-410
Citations
647
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Robert Griffiths, Simon Tavaré (1994). Sampling theory for neutral alleles in a varying environment. Philosophical Transactions of the Royal Society B Biological Sciences , 344 (1310) , 403-410. https://doi.org/10.1098/rstb.1994.0079

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DOI
10.1098/rstb.1994.0079