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On the consistency of urban cellular automata models based on hexagonal and square cells

Author

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  • Aditya Tafta Nugraha
  • Ben J Waterson
  • Simon P Blainey
  • Frederick J Nash

Abstract

Cellular automata have found extensive applications in the modelling of urban systems. Calculations in cellular automata models are based on cell centroids and therefore cellular automata models are sensitive to the choices of cell size and shape. While the effect of cell size for urban simulation has been studied, discussions on the effect of cell shape on urban cellular automata models have been limited. Applications in other fields suggest there are advantages of using hexagonal cells over square cells, yet most urban cellular automata models use square cells. Using connectivity indices from graph theory, experiments in this study compared models based on hexagonal and square cells to examine the potential advantage of hexagonal cells in urban cellular automata models. This paper finds that simulation results from the model with hexagonal cells are more consistent and concludes that hexagonal cells would increase the robustness of model simulation.

Suggested Citation

  • Aditya Tafta Nugraha & Ben J Waterson & Simon P Blainey & Frederick J Nash, 2021. "On the consistency of urban cellular automata models based on hexagonal and square cells," Environment and Planning B, , vol. 48(4), pages 845-860, May.
    • Handle: RePEc:sae:envirb:v:48:y:2021:i:4:p:845-860
    DOI: 10.1177/2399808319898501
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    References listed on IDEAS

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    1. R White & G Engelen, 1993. "Cellular Automata and Fractal Urban Form: A Cellular Modelling Approach to the Evolution of Urban Land-Use Patterns," Environment and Planning A, , vol. 25(8), pages 1175-1199, August.
    2. Adamatzky, Andrew & Wuensche, Andrew & De Lacy Costello, Benjamin, 2006. "Glider-based computing in reaction-diffusion hexagonal cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 287-295.
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