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Mathematics of Genetic Diversity

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by J. F. C. Kingman


1980 / vii + 70 pages / Softcover / ISBN: 978-0-898711-66-0 / List Price $54.50 / SIAM/CBMS Member Price $38.15 / Order Code CB34

This book draws together some mathematical ideas that are useful in population genetics, concentrating on a few aspects which are both biologically relevant and mathematically interesting.

The Problem: Why Mathematics?; Genes and Their Inheritance, Selection, Mutation; Survival of the Fittest: Balanced Polymorphisms, Multi-Locus Selection, Balance Between Selection and Mutation, The House of Cards, The Diploid House of Cards, The Resistance of Polymorphisms to Mutation; The Neutral Alternative: Evolution in the Absence of Selection, A General Model for Mutation in Finite Populations, The Random Walk Case, The Frequency Spectrum, The Ewens Sampling Formula, The Poisson-Dirichlet Distribution, Partition Structures, Testing Neutrality; Selection in Finite Populations: Deleterious Mutants, The Wright-Fisher Model, Wright's Formula, The Infinite Alleles Limit.

ISBN: 9780898711660

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