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

In: The Dynamics of Complex Urban Systems

Author

Listed:
  • Alberto Vancheri

    (University of Italian Switzerland)

  • Paolo Giordano

    (University of Italian Switzerland)

  • Denise Andrey

    (University of Italian Switzerland)

  • Sergio Albeverio

    (University Bonn)

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.

Suggested Citation

  • Alberto Vancheri & Paolo Giordano & Denise Andrey & Sergio Albeverio, 2008. "Modelling the Micro-Dynamics of Urban Systems with Continuum Valued Cellular Automata," Springer Books, in: Sergio Albeverio & Denise Andrey & Paolo Giordano & Alberto Vancheri (ed.), The Dynamics of Complex Urban Systems, pages 429-456, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7908-1937-3_21
    DOI: 10.1007/978-3-7908-1937-3_21
    as

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