Morphological similarities between DBM and an economic geography model of city growth

Jean Cavailhès, Pierre Frankhauser, Geoffrey Caruso, Dominique Peesters, Isabelle Thomas, Gilles Vuidel

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

An urban microeconomic model of households evolving in a 2D cellular automata allows to simulate the growth of a metropolitan area where land is devoted to housing, road network and agricultural/green areas. This system is self-organised: based on individualistic decisions of economic agents who compete on the land market, the model generates a metropolitan area with houses, roads, and agriculture. Several simulation are performed. The results show strong similarities with physical Dieletric breackdown models (DBM). In particular, phase transitions in the urban morphology occur when a control parameter reaches critical values. Population density in our model and the electric potential in DBM play similar roles, which can explain these resemblances.
Translated title of the contributionMorphological similarities between DBM and an economic geography model of city growth
Original languageEnglish
Title of host publicationComplex Sciences
Subtitle of host publicationFirst International Conference, Complex 2009, Shanghai, China, February 23-25, 2009.
EditorsJie Zhou
PublisherSpringer
Pages417-428
ISBN (Electronic)978-3-642-02466-5
ISBN (Print)978-3-642-02465-8
Publication statusPublished - 2009
Externally publishedYes

Publication series

NameLecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering book series (LNICST)
PublisherSpringer
Volume4

Keywords

  • Fractal Dimension
  • Road Network
  • Cellular Automaton
  • Central Business District

Cite this