Klausen, Frederik Ravn; Lauritsen, Asbjørn BækgaardISTA
We introduce a stochastic cellular automaton as a model for culture and border formation. The model can be conceptualized as a game where the expansion rate of cultures is quantified in terms of their area and perimeter in such a way that approximately geometrically round cultures get a competitive advantage. We first analyze the model with periodic boundary conditions, where we study how the model can end up in a fixed state, i.e., freezes. Then we implement the model on the European geography with mountains and rivers. We see how the model reproduces some qualitative features of European culture formation, namely, that rivers and mountains are more frequently borders between cultures, mountainous regions tend to have higher cultural diversity, and the central European plain has less clear cultural borders.
Physical Review E
Thanks to Kim Sneppen, Svend Krøjer, Peter Wildemann, Peter Rasmussen and Kent Bækgaard Lauritsen for discussions and suggestions. FRK acknowledges support from the Villum Foundation for support through the QMATH center of Excellence (Grant No. 10059) and the Villum Young Investigator (Grant No. 25452) programs.
Klausen FR, Lauritsen AB. Stochastic cellular automaton model of culture formation. Physical Review E. 2023;108(5). doi:10.1103/PhysRevE.108.054307
Klausen, F. R., & Lauritsen, A. B. (2023). Stochastic cellular automaton model of culture formation. Physical Review E. American Physical Society. https://doi.org/10.1103/PhysRevE.108.054307
Klausen, Frederik Ravn, and Asbjørn Bækgaard Lauritsen. “Stochastic Cellular Automaton Model of Culture Formation.” Physical Review E. American Physical Society, 2023. https://doi.org/10.1103/PhysRevE.108.054307.
F. R. Klausen and A. B. Lauritsen, “Stochastic cellular automaton model of culture formation,” Physical Review E, vol. 108, no. 5. American Physical Society, 2023.
Klausen FR, Lauritsen AB. 2023. Stochastic cellular automaton model of culture formation. Physical Review E. 108(5), 054307.
Klausen, Frederik Ravn, and Asbjørn Bækgaard Lauritsen. “Stochastic Cellular Automaton Model of Culture Formation.” Physical Review E, vol. 108, no. 5, 054307, American Physical Society, 2023, doi:10.1103/PhysRevE.108.054307.
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