Applying Cellular Automata to Modeling Urban Development

Document Type : علمی - پژوهشی

Authors

1 Associate Professor, Faculty of Architecture and Urban Planning, Shahid Beheshti University

2 Urban Planning, Faculty of Architecture and Urban Planning, Shahid Beheshti University

Abstract

A cellular automaton consists of a regular finite grid of cells, each in one of a finite number of states. A set of rules defining the state of neighboring cells is defined relative to the specified cell. An initial state is selected by assigning a state for each cell and a new generation is created, according to some fixed rules that determine the new state of each cell in terms of the current state of the cell and the states of the cells in its neighborhood. Cellular automata have been applied in diverse disciplines including biology, chemistry and genetics. This paper explains the result of using cellular automata for modeling urban land use. It is demonstrated that simple spatial rules may lead to complex urban behavior. Using logistic regression models, influential factors are quantified explaining the mechanisms of change. Furthermore, the model identifies cells with high land use conversion potential.

  1. کرلینجر، پدهازر. رگرسیون چند متغیرى در پژوهش رفتارى. ترجمة حسن سرایى. تهران: مرکز نشر دانشگاهى، 1384.
  2. T. Arai and T. Akiyama, “Empirical analysis for estimating land use transition potential functions- case in the Tokyo metropolitan region,” Computers, Environment and Urban Systems, vol. 28, pp. 65-84, 2004.
  3. M. Batty, H. Couclelis, Eichen M, Special issue: Urban systems as cellular automata. Environment and Planning B, 24, 159-164, 1997.
  4. Couclelis, H, “From cellular automata to urban models: new principles for model development and implementation”. Environment and Planning B 24 (2): 165-174, 1997.
  5. G. Engelen, R. White, et al. (1997). Constrained Cellular Automata models. Decision Support Systems in Urban Planning, H. P. J. Timmermans. E & FN Spon, London,. This is the chapter 8 of the book: 125-155.
  6. X. Li, and A.G.O. Yeh, “Calibration of cellular automata by using neural networks for the simulation of complex urban systems” Environment and Planning A 33: 1445-1462, 2001.
  7. O, Sullivan David, Graph-based Irregular Cellular Automaton Models of Urban Spatial Processes, Examined by Professor Peter M. Allen, Canfield University and Professor David Unwind, Birkbeck College, University of London, Ph. D. supervisor Professor Michael Batty, Analysis (CASA)), 2000.
  8. P.M. Torrens, How Cellular Models Of Urban Systems Work (1-Theory), Centre For Advanced Spatial Working Paper Series 28, 2000.
  9. D.P.Ward, A.T. Murray, et al. , A stochastically constrained cellular model of urban growth computers, Environment and Urban Systems 24 (6): 539-558, 2000.
  10. R. White, and G. Engelen. “Cellular automata and fractal urban form: a cellular modeling approach to the evolution of urban land use patterns” Environment and Planning A 25: 1175-1199, 1993.
  11. Jiao. Junfeng , Transition Rule Elicitation for Urban Cellular Automata models (case study: Wuhan, China), Thesis submitted to the International Institute for Geo information Science and Earth Observation in partial fulfillment of the requirements for the degree of Master of Science in Geo-Information Science and Earth Observation with specialization in Urban Planning and Management, China, Sep 2003.