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9780898711660 Academic Inspection Copy

Mathematics of Genetic Diversity

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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.
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