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Self-Organization in Models of Populations with Two-Parent Reproduction on a Rugged Fitness Landscape

Jan Finjord
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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.

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Jan Finjord. 1995-06-26. Self-Organization in Models of Populations with Two-Parent Reproduction on a Rugged Fitness Landscape. https://arxiv.org/abs/adap-org/9506003

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