Mathematical Models in Population Genetics

C. Neuhauser

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Scopus citations

Abstract

Throughout the history of population genetics, mathematical models have played an important role in elucidating the effects of mutation and selection on the genetic diversity of organisms. Mathematical models provided the theoretical foundation of neo-Darwinism; sophisticated mathematical tools aided Kimura in establishing the neutral molecular theory. Mathematical models in population genetics today are crucial in the development of statistical tools for analyzing molecular data. This chapter emphasizes models for selection, but also includes the discussion of neutral models. After a brief history of the role of selection in evolution, basic mathematical models are introduced together with the diffusion approximation. A discussion of coalescent theory follows, with primary focus on selection. A short discussion on how to detect selection concludes the chapter.

Original languageEnglish (US)
Title of host publicationHandbook of Statistical Genetics
Subtitle of host publicationThird Edition
PublisherJohn Wiley & Sons, Ltd
Pages753-780
Number of pages28
Volume2
ISBN (Print)9780470058305
DOIs
StatePublished - May 9 2008

Keywords

  • Coalescent theory
  • Gene frequency
  • Genealogical relationships and population dynamics
  • Hardy-Weinberg equilibrium
  • Infinite allele model
  • Molecular differences and molecular evolution
  • Neutrality-selectionist controversy
  • Random mating and genetic drift

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