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

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

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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