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

  • Alberto Vancheri
  • Paolo Giordano
  • Denise Andrey
  • Sergio Albeverio


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.


Membership Function Fuzzy Logic Cellular Automaton Urban System Decision Space 
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Copyright information

© Physica-Verlag Heidelberg and Accademia di Architettura, Mendrisio, Switzerland 2008

Authors and Affiliations

  • Alberto Vancheri
    • 1
  • Paolo Giordano
    • 1
  • Denise Andrey
    • 1
  • Sergio Albeverio
    • 2
  1. 1.Accademia di architetturaUniversity of Italian SwitzerlandMendrisioSwitzerland
  2. 2.Institut für Angewandte MathematikUniversity BonnGermany

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