Cellular Automata and Fractal Urban Form: A Cellular Modelling Approach to the Evolution of Urban Land-Use Patterns

@article{White1993CellularAA,
  title={Cellular Automata and Fractal Urban Form: A Cellular Modelling Approach to the Evolution of Urban Land-Use Patterns},
  author={Roger White and Gert Engelen},
  journal={Environment and Planning A},
  year={1993},
  volume={25},
  pages={1175 - 1199}
}
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… 
View on SAGE
989 Citations
Highly Influential Citations
43
Background Citations
306
Methods Citations
194
Results Citations
8

989 Citations

Citation Type

Citation Type

Cities and cellular automata
Cellular automata provide a high-resolution representation of urban spatial dynamics.Consequently they give the most realistic predictions of urban structural evolution, and in particular they are…
Urban systems dynamics and cellular automata: Fractal structures between order and chaos
Simulation of Compact Cities Based on the Integration of Cellular Automata and GIS
TLDR
A CA model for the simulation of compact development using different kinds of constraints is presented and it is provided that actual land development in the study area is in a chaotic pattern.
Land use interpretation for cellular automata models with socioeconomic heterogeneity
Cellular automata models for simulation of urban development usually lack the social heterogeneity that is typical of urban environments. In order to handle this shortcoming, this paper proposes the…
An analysis of the effect of the stochastic component of urban cellular automata models
Cellular Automata in Urban Spatial Modelling
TLDR
Cellular automata models provide an excellent framework for urban spatial modeling of complex dynamics and the accumulation of local actions.
A Cellular Automata Model Based on Irregular Cells: Application to Small Urban Areas
TLDR
A cellular automata model that uses irregular cells for simulating land-use change instead of the common regular cells based on the pixels of remote sensing images and results indicate the model's ability to capture land- use change in small urban areas.
Modeling Urban Growth by Cellular Automata
TLDR
This paper presents a "cellular model" of urban growth dynamics based on the work of White, Engelen and Uljee, and makes especially use of fractal measures reducing the contained information to a manageable size.
Experiments with Settlement Aggregation Models
The use of fractal techniques to model aspects of urban form is now well established. However, to date these have concentrated on specific general attributes of urban form, usually focused at a macro…
Fractal urban models and their potential for sustainable mobility: A spatio-syntactic analysis
TLDR
This paper critically reflects on whether and to what extent cities and neighbourhoods incorporating fractal geometries are sustainable in terms of accessibility and mobility and makes a link between fractal urbanization patterns and movement.
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 61 REFERENCES
Cities and fractals: simulating growth and form
The morphology of cities bears an uncanny resemblance to those dendritic clusters of particles which have been recently simulated as fractal growth processes. This paper explores this analogy, first…
Diffusion-limited aggregation and the fractal nature of urban growth
This paper introduces the mechanism of diffusion-limited aggregation (DLA) as a new basis for understanding urban growth. Through DLA, urban form is related to the processes of rural-to-urban…
Fractal-Based Description of Urban Form
Fractals, shapes with nonintegral or fractional dimension which manifest similar degrees of irregularity over successive scales, are used to produce a consistent measure of the length of irregular…
Urban systems as examples of bounded chaos: exploring the relationship between fractal dimension, rank-size, and rural-to- urban migration
Fractal structures appear to be closely related to systems whose growth to a large extent is the result of a series of unpredictable events. Examples of such structures include river networks,…
Generating Urban Forms from Diffusive Growth
In this paper, a formal model of diffusion-limited aggregation is presented which can be used to generate a continuum of urban forms from linear to concentric. A brief derivation of this continuum…
Urban Growth and Form: Scaling, Fractal Geometry, and Diffusion-Limited Aggregation
In this paper, we propose a model of growth and form in which the processes of growth are intimately linked to the resulting geometry of the system. The model, first developed by Witten and Sander…
Statistical mechanics of cellular automata
TLDR
Analysis is given of ''elementary'' cellular automata consisting of a sequence of sites with values 0 or 1 on a line, with each site evolving deterministically in discrete time steps according to p definite rules involving the values of its nearest neighbors.
The theory of self-organization and modelling complex urban systems
THE DYNAMICS OF URBAN SPATIAL STRUCTURE: PROGRESS AND PROBLEMS*
TLDR
The state of progress of the work which extends the spatial-interaction-activity group of models using methods from catastrophe theory and bifurcation theory is reported on.
Cellular Worlds: A Framework for Modeling Micro—Macro Dynamics
TLDR
A generalization of the cell-space principle is presented, based on discrete model theory, and then applied to a hypothetical but fairly complex problem of individual decision and large-scale urban change.
...
1
2
3
4
5
...