Abstract
We present a mathematical model for urban systems based on a continuous valued cellular automaton. In the modelling we have an urban system, described through a specification cell by cell of built volumes and surfaces for different land uses and a system of agents interacting with the urban system and governed by fuzzy decision processes depending on the configuration of the urban system. For developers e.g. a point in the decision space specifies the cell and a set of continuous parameters describing the building quantitatively (e.g. surface and volume). The use of a continuum state space enables one to write a system of differential equations for the time evolution of the CA and thus to study the system from a dynamical systems theory perspective. Computer simulations on an artificial case with detailed real characteristics are presented.
Research supported in part by the FNSRS 2100-060732, and the Marie Curie ERG MERG-CT-2005-014906.
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Vancheri, A., Giordano, P., Andrey, D., Albeverio, S. (2008). Modelling the Micro-Dynamics of Urban Systems with Continuum Valued Cellular Automata. In: Albeverio, S., Andrey, D., Giordano, P., Vancheri, A. (eds) The Dynamics of Complex Urban Systems. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-1937-3_21
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