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Cellular Automata and Fractal Urban Form: A Cellular Modelling Approach to the Evolution of Urban Land-Use Patterns
Abstract
Cellular automata belong to a family of discrete, connectionist techniques being used to investigate fundamental principles of dynamics, evolution, and self-organization. In this paper, a cellular automaton is developed to model the spatial structure of urban land use over time. For realistic parameter values, the model produces fractal or bifractal land-use structures for the urbanized area and for each individual land-use type. Data for a set of US cities show that they have very similar fractal dimensions. The cellular approach makes it possible to achieve a high level of spatial detail and realism and to link the results directly to general theories of structural evolution.
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Cites
Hillier, B., & Hanson, J. (1984) · doi:10.1017/cbo9780511597237 · Cited by 4,322
Computation at the edge of chaos: Phase transitions and emergent computation
Langton, C. G. (1990) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(90)90064-v · Cited by 1,527
Cited by
A Self-Modifying Cellular Automaton Model of Historical Urbanization in the San Francisco Bay Area
Clarke, K. C., Hoppen, S., & Gaydos, L. (1997) · Environment and Planning B: Planning and Design · doi:10.1068/b240247 · Cited by 1,449
Simplifying complexity: a review of complexity theory
Manson, S. M. (2001) · Geoforum · doi:10.1016/s0016-7185(00)00035-x · Cited by 802
Al-sharif, A. A. A., & Pradhan, B. (2014) · Arabian Journal of Geosciences · doi:10.1007/s12517-013-1119-7 · Cited by 276
Viewing forests through the lens of complex systems science
Filotas, E., Parrott, L., Burton, P. J., Chazdon, R. L., Coates, K. D., Coll, L., Haeussler, S., Martin, K., Nocentini, S., Puettmann, K. J., et al. (2014) · Ecosphere · doi:10.1890/es13-00182.1 · Cited by 262
Administrative boundaries and urban areas in Italy: A perspective from scaling laws
Alvioli, M. (2020) · Landscape and Urban Planning · doi:10.1016/j.landurbplan.2020.103906 · Cited by 34
Metadata
- Authors
- White, R., & Engelen, G.
- Venue
- Environment and Planning A: Economy and Space
- Publisher
- SAGE Publications
- Published
- 1993-08
- Volume
- 25
- Issue
- 8
- Pages
- 1175-1199
- ISSN
- 0308-518X (ISSN-L)
- 1472-3409
- OpenAlex
- W2132227723
- Cited by
- 1,112
- References
- 2
- FWCI
- 20.66
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Cellular Automata and Fractal Urban Form: A Cellular Modelling Approach to the Evolution of Urban Land-Use Patterns. https://app.cochat.ai/papers/10.1068/a251175
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- White, R., & Engelen, G. (1993). Cellular Automata and Fractal Urban Form: A Cellular Modelling Approach to the Evolution of Urban Land-Use Patterns. Environment and Planning A: Economy and Space. https://doi.org/10.1068/a251175
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
