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Phase Transition In Sexual Reproduction And Biological Evolution

Author

Listed:
  • MARTA ZAWIERTA

    (Department of Genomics, Faculty of Biotechnology, Wrocław University, ul. Przybyszewskiego 63/77, 51-148 Wrocław, Poland)

  • WOJCIECH WAGA

    (Department of Genomics, Faculty of Biotechnology, Wrocław University, ul. Przybyszewskiego 63/77, 51-148 Wrocław, Poland)

  • DOROTA MACKIEWICZ

    (Department of Genomics, Faculty of Biotechnology, Wrocław University, ul. Przybyszewskiego 63/77, 51-148 Wrocław, Poland)

  • PRZEMYSŁAW BIECEK

    (Department of Genomics, Faculty of Biotechnology, Wrocław University, ul. Przybyszewskiego 63/77, 51-148 Wrocław, Poland)

  • STANISŁAW CEBRAT

    (Department of Genomics, Faculty of Biotechnology, Wrocław University, ul. Przybyszewskiego 63/77, 51-148 Wrocław, Poland)

Abstract

Using Monte Carlo model of biological evolution it is discovered that populations can switch between two different strategies of their genomes' evolution: Darwinian purifying selection and complementing the haplotypes. The first one is exploited in the large panmictic populations while the second one in the small highly inbred populations. The choice depends on the crossover frequency. There is a power law relation between the critical value of crossover frequency and the size of panmictic population. Under constant inbreeding this critical value of crossover does not depend on the population size and has a character of phase transition. Close to this value sympatric speciation is observed.

Suggested Citation

  • Marta Zawierta & Wojciech Waga & Dorota Mackiewicz & Przemysław Biecek & Stanisław Cebrat, 2008. "Phase Transition In Sexual Reproduction And Biological Evolution," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(06), pages 917-926.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:06:n:s0129183108012595
    DOI: 10.1142/S0129183108012595
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    Cited by:

    1. Falkiewicz, Dominik Michał & Makowiec, Danuta, 2021. "Bit-string model of biological speciation: Revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).

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