Mathematical Population Genetics 1: Theoretical Introduction

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Springer Science & Business Media, Oct 1, 2012 - Science - 418 pages

Population genetics occupies a central role in a number of important biological and social undertakings. It is fundamental to our understanding of evolutionary processes, of plant and animal breeding programs, and of various diseases of particular importance to mankind.

This is the first of a planned two-volume work discussing the mathematical aspects of population genetics, with an emphasis on the evolutionary theory. This first volume draws heavily from the author's classic 1979 edition, which appeared originally in Springer's Biomathematics series. It has been revised and expanded to include recent topics which follow naturally from the treatment in the earlier edition, e.g., the theory of molecular population genetics.

This book will appeal to graduate students and researchers in mathematical biology and other mathematically-trained scientists looking to enter the field of population genetics.

 

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Contents

Technicalities and Generalizations
43
Discrete Stochastic Models
92
Diffusion Theory
136
Applications of Diffusion Theory
156
Two Loci
201
Many Loci
241
Further Considerations
276
Introduction
288
The Coalescent
328
Testing the Neutral Theory
346
Eigenvalue Calculations
384
Author Index 409
408
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