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Mathematical Topics in Population Genetics

  • Book
  • © 1970

Overview

Editors:
  1. Ken-ichi Kojima
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Part of the book series: Biomathematics (BIOMATHEMATICS, volume 1)

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-IX
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  2. Random Drift and the Shifting Balance Theory of Evolution

    • S. Wright
    Pages 1-31

  3. Changes in Mean Fitness under Natural Selection

    • J. R. G. Turner
    Pages 32-78

  4. Models and Analyses of Dispersal Patterns

    • R. H. Richardson
    Pages 79-103

  5. Avoidance and Rate of Inbreeding

    • C. C. Cockerham
    Pages 104-127

  6. Genetic Loads and the Cost of Natural Selection

    • J. F. Crow
    Pages 128-177

  7. Stochastic Processes in Population Genetics, with Special Reference to Distribution of Gene Frequencies and Probability of Gene Fixation

    • M. Kimura
    Pages 178-209

  8. Theory of Limits to Selection with Line Crossing

    • W. G. Hill
    Pages 210-245

  9. A Theory of Limits in Artificial Selection with Many Linked Loci

    • A. Robertson
    Pages 246-288

  10. The Evolution of Dominance

    • J. A. Sved, O. Mayo
    Pages 289-316

  11. Survival of Mutant Genes as a Branching Process

    • H. E. Schaffer
    Pages 317-336

  12. The Incomplete Binomial Distribution

    • C. C. Li
    Pages 337-366

  13. Evolutionary Significance of Linkage and Epistasis

    • K. Kojima, R. C. Lewontin
    Pages 367-388

  14. Fitness and Optimization

    • R. Levins
    Pages 389-400
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Keywords

About this book

A basic method of analyzing particulate gene systems is the probaยญ bilistic and statistical analyses. Mendel himself could not escape from an application of elementary probability analysis although he might have been unaware of this fact. Even Galtonian geneticists in the late 1800's and the early 1900's pursued problems of heredity by means of matheยญ matics and mathematical statistics. They failed to find the principles of heredity, but succeeded to establish an interdisciplinary area between mathematics and biology, which we call now Biometrics, Biometry, or Applied Statistics. A monumental work in the field of popUlation genetics was published by the late R. A. Fisher, who analyzed "the correlation among relatives" based on Mendelian gene theory (1918). This theoretical analysis overยญ came "so-called blending inheritance" theory, and the orientation of Galtonian explanations for correlations among relatives for quantitative traits rapidly changed. We must not forget the experimental works of Johanson (1909) and Nilsson-Ehle (1909) which supported Mendelian gene theory. However, a large scale experiment for a test of segregation and linkage of Mendelian genes affecting quantitative traits was, probยญ ably for the first time, conducted by K. Mather and his associates and Panse in the 1940's.

Bibliographic Information

  • Book Title: Mathematical Topics in Population Genetics

  • Editors: Ken-ichi Kojima

  • Series Title: Biomathematics

  • DOI: https://doi.org/10.1007/978-3-642-46244-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin ยท Heidelberg 1970

  • Softcover ISBN: 978-3-642-46246-7Published: 21 March 2012

  • eBook ISBN: 978-3-642-46244-3Published: 06 December 2012

  • Series ISSN: 0067-8821

  • Series E-ISSN: 2197-4160

  • Edition Number: 1

  • Number of Pages: X, 400

  • Topics: Genetics and Population Dynamics

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