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Erschienen in:
2008 | OriginalPaper | Buchkapitel
Modelling the Micro-Dynamics of Urban Systems with Continuum Valued Cellular Automata
verfasst von : Alberto Vancheri, Paolo Giordano, Denise Andrey, Sergio Albeverio
Erschienen in: The Dynamics of Complex Urban Systems
Verlag: Physica-Verlag HD
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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.