Neighbourhood, Boundaries and Population Dependencies in Schelling Segregation Model Simulations

Ken A. Hawick

Keywords

Schelling segregation, human activity model , agent-based model, neighborhood effects, racial separation

Abstract

The Schelling model of segregation exhibits surprisingly complex pattern evolution despite its simplicity. This agent-based model has been investigated to describe the spontaneous statistical segregation of ghetto-ization of human population groups that differ by some definite property such as race or political opinion. We investigate the effect of different boundary conditions and more importantly of the size and nature of different individual agent connectivity neighbourhoods. We explore the interplay and phase diagram for the population fraction ratio and the Schelling satisfaction parameter tau for several different regular and radial neighbourhood geometries. We find that neighbourhood geometry shifts the location of the model's phase transition significantly. We demonstrate this with various metrics including cluster component size distributions computed from extensive computer simulations of the Schelling model in two dimensions.

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