To show the importance of stochastic processes in the change of gene frequencies, the authors discuss topics ranging from molecular evolution to two-locus problems in terms of diffusion models. Throughout their discussion, they come to grips with one of the most challenging problems in population geneticsthe ways in which genetic variability is maintained in Mendelian populations.
R.A. Fisher, J.B.S. Haldane, and Sewall Wright, in pioneering works, confirmed the usefulness of mathematical theory in population genetics. The synthesis their work achieved is recognized today as mathematical genetics, that branch of genetics whose aim is to investigate the laws governing the genetic structure of natural populations and, consequently, to clarify the mechanisms of evolution.
For the benefit of population geneticists without advanced mathematical training, Professors Kimura and Ohta use verbal description rather than mathematical symbolism wherever practicable. A mathematical appendix is included.
Table of Contents
|1.||Fate of an Individual Mutant Gene in a Finite Population||3|
|2.||Population Genetics and Molecular Evolution||16|
|3.||Effective Population Number||33|
|4.||Natural Selection and Genetic Loads||44|
|5.||Adaptive Evolution and Substitutional Load||72|
|7.||Linkage Disequilibrium and Associative Over-dominance in a Finite Population||105|
|8.||Breeding Structure of Populations||117|
|9.||Maintenance of Genetic Variability in Mendelian Populations||141|
|10.||The Role of Sexual Reproduction in Evolution||160|