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3 results

  • The Impossible Dream — Panmixia

  • Alan E. Stark
  • Journal:
    Twin Research and Human Genetics / Volume 27 / Issue 3 / June 2024
    Published online by Cambridge University Press:
    27 February 2024, pp. 174-178
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  • This study starts with a simple model by which Hardy-Weinberg proportions are attained in a single generation while maintaining gene frequencies. The question of differentiating between random and non-random mating is explored by simulation. Sample mating proportions are generated using the model as base. The difficulty of differentiating between random and non-random mating is illustrated.

  • C. C. Li and Quasi-Random Mating

  • Alan E. Stark
  • Journal:
    Twin Research and Human Genetics / Volume 26 / Issue 4-5 / August 2023
    Published online by Cambridge University Press:
    14 September 2023, pp. 277-279
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  • A simple model by which Hardy-Weinberg proportions are attained in a single generation while maintaining gene frequencies is stated and illustrated. The title ‘Quasi-random mating’ is proposed. Confusion about the Hardy-Weinberg principle can be avoided only if there is clear separation between the basic deterministic model and factors influencing a population’s structure. Eighty years passed before C. C. Li coined the term ‘pseudo-random mating’. The lesson taught by Li has not been taken on board.

  • 5 - Probability Theory

  • Jason Rosenhouse, James Madison University, Virginia
  • Book:
    The Failures of Mathematical Anti-Evolutionism
    Published online:
    28 April 2022
    Print publication:
    12 May 2022, pp 110-162

  • Summary

    Many arguments in the corpus of mathematical anti-evolutionism are drawn from probability theory. We describe the basic mathematical ideas underlying probability, as well as the closely related branch of mathematics known as combinatorics. We then discuss and refute the major probabilistic arguments made by anti-evolutionists.