Space-time patterns of urban sprawl, a 1D cellular automata and microeconomic approach
AbstractWe present a theoretical model of residential growth that emphasizes the path-dependent nature of urban sprawl patterns. The model is founded on the monocentric urban economic model and uses a cellular automata (CA) approach to introduce endogenous neighbourhood effects. Households are assumed to both like and dislike the density of their neighbourhood, and trade-off this density with housing space consumption and commuting costs. Discontinuous spatial patterns emerge from that trade-off, with the size of suburban clusters varying with time and distance to the centre. We use space-time diagrams inspired from 1D elementary CA to visualize changes in spatial patterns through time and space, and undertake sensitivity analyses to show how the pattern and timing of sprawl are affected by neighbourhood preferences, income level, commuting costs or by imposing a green belt.
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Bibliographic InfoPaper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2008044.
Date of creation: 01 Jul 2008
Date of revision:
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urban sprawl; open space; neighbourhood externalities; cellular automata; residential dynamics.;
Other versions of this item:
- Geoffrey Caruso & Dominique Peeters & Jean Cavailh�s & Mark Rounsevell, 2009. "Space – time patterns of urban sprawl, a 1D cellular automata and microeconomic approach," Environment and Planning B: Planning and Design, Pion Ltd, London, vol. 36(6), pages 968-988, November.
- CARUSO, Geoffrey & PEETERS, Dominique & CAVAILHES, Jean & ROUNSEVELL, Mark, . "Space-time patterns of urban sprawl, a 1D cellular automata and microeconomic approach," CORE Discussion Papers RP -2167, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
- D62 - Microeconomics - - Welfare Economics - - - Externalities
- R14 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Land Use Patterns
- R21 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Housing Demand
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-11-25 (All new papers)
- NEP-GEO-2008-11-25 (Economic Geography)
- NEP-URE-2008-11-25 (Urban & Real Estate Economics)
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- Akamatsu, Takashi & Fujishima, Shota & Takayama, Yuki, 2014. "On Stable Equilibria in Discrete-Space Social Interaction Models," MPRA Paper 55938, University Library of Munich, Germany.
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