Stochastic cellular automaton model of culture formation
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Stochastic cellular automaton model of culture formation. / Klausen, Frederik Ravn; Lauritsen, Asbjørn Bækgaard.
In: Physical Review E, Vol. 108, No. 5, 054307, 2023.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Stochastic cellular automaton model of culture formation
AU - Klausen, Frederik Ravn
AU - Lauritsen, Asbjørn Bækgaard
N1 - Publisher Copyright: © 2023 American Physical Society.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevE.108.054307
DO - 10.1103/PhysRevE.108.054307
M3 - Journal article
C2 - 38115445
AN - SCOPUS:85176547916
VL - 108
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 5
M1 - 054307
ER -
ID: 382447650