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Sex And Self-Organization On Rugged Landscapes

Author

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  • JAN FINJORD

    (Stavanger College, Faculty of Science and Technology, P. O. Box 2557, N-4004 Stavanger, Norway)

Abstract

The two-parent reproduction model of Derrida and Peliti is simulated on a rugged fitness landscape. Fixed fitness values for each possible genotype are assigned randomly, with all fit individuals having the same probability of reproduction. The previously observed transition to a self-organized state of the population with less recombinational load, implies an abrupt change of genetic overlap distributions, showing up characteristics of a phase transition. A crossover variant of the model has a smoother transition to the adapted regime, with a residual collective adaptation for small values of the threshold in fitness. When a geographical constraint (shortest possible distance) on pairwise reproduction in a population arranged one-dimensionally is imposed, a poised state results, suggestive of self-organized criticality.

Suggested Citation

  • Jan Finjord, 1996. "Sex And Self-Organization On Rugged Landscapes," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 7(05), pages 705-715.
  • Handle: RePEc:wsi:ijmpcx:v:07:y:1996:i:05:n:s0129183196000582
    DOI: 10.1142/S0129183196000582
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