Modelling the Micro-Dynamics of Urban Systems with Continuum Valued Cellular Automata

Alberto Vancheri, Paolo Giordano, Denise Andrey and Sergio Albeverio
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Alberto Vancheri: University of Italian Switzerland
Paolo Giordano: University of Italian Switzerland
Denise Andrey: University of Italian Switzerland
Sergio Albeverio: University Bonn

A chapter in The Dynamics of Complex Urban Systems, 2008, pp 429-456 from Springer

Abstract: 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.

Keywords: Membership Function; Fuzzy Logic; Cellular Automaton; Urban System; Decision Space (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7908-1937-3_21

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DOI: 10.1007/978-3-7908-1937-3_21

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