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Mathematics of Genetic DiversityMathematics of Genetic Diversity

J. F. C. Kingman



CBMS-NSF Regional Conference Series in Applied Mathematics 34

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.

Contents

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.

1980 / vii + 70 pages / Softcover / ISBN-13: 978-0-898711-66-0 / ISBN-10: 0-89871-166-5 /
List Price $48.00 / SIAM/CBMS Member Price $33.60 / Order Code CB34
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