InterJournal Complex Systems, 363
Status: Accepted
Manuscript Number: [363]
Submission Date: 430
Revised On: 11109
The Seceder Effect in Bounded Space
Author(s): Peter Dittrich

Subject(s): CX.19, CX.14, CX.30, CX.35, CX.43

Category: Brief Article

Abstract:

The seceder model consists of a population of simple entities which reproduce and die. A reproduction event consists of the following steps: Three individuals are chosen randomly. The most different individual is allowed to have an offspring. The offspring replaces a randomly selected individual of the population. The seceder model shows how the local tendency to be different gives rise to the formation and stable coexistence of groups. But in unbounded space these groups disperse. This contribution investigates the group formation in two variants of bounded space: periodic boundary condition and additional selection pressure. In the rather artificial case of periodic boundary condition the system converges to a simple stable state where only three main groups are present. The second more realistic variant introduces an additional static selection pressure as a unimodal function on the genotype. In this case quite complex patterns of group formation and group disintegration appear depending on the strength of the selection pressure.

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