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Mathematical Topics in Population Genetics

  • Editors
  • Ken-ichi Kojima

Part of the Biomathematics book series (BIOMATHEMATICS, volume 1)

About this book

Introduction

A basic method of analyzing particulate gene systems is the proba­ 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 mathe­ 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 over­ 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, prob­ ably for the first time, conducted by K. Mather and his associates and Panse in the 1940's.

Keywords

Mathematica Population evolution genes genetics mathematical statistics mathematics mutant optimization

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-46244-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1970
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-46246-7
  • Online ISBN 978-3-642-46244-3
  • Series Print ISSN 0067-8821
  • Buy this book on publisher's site