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We introduce a stochastic cellular automaton as a model for culture andborder formation. The model can be conceptualized as a game where the expansionrate of cultures is quantified in terms of their area and perimeter in such away that approximately geometrically round cultures get a competitiveadvantage. We first analyse the model with periodic boundary conditions, wherewe study how the model can end up in a fixed state, i.e. freezes. Then weimplement the model on the European geography with mountains and rivers. We seehow the model reproduces some qualitative features of European cultureformation, namely that rivers and mountains are more frequently borders betweencultures, mountainous regions tend to have higher cultural diversity and thecentral European plain has less clear cultural borders.

Stochastic cellular automaton model of culture formation