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

Caruso, Geoffrey;Cavailhes, Jean;Frankhauser, Pierre;Peeters, Dominique;Vuidel, Gilles;et.al.
(2009) Complex sciences : First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised papers, part 1 — ISBN: [978-3-642-02465-8], p. 417-428, published

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Authors
  • Caruso, GeoffreyUCLouvain
    Author
  • Cavailhes, JeanUCLouvain
    Author
  • Frankhauser, PierreUCLouvain
    Author
  • Peeters, DominiqueUCLouvain
    Author
  • Thomas, IsabelleUCLouvain
    Author
  • Vuidel, Gilles
    Author
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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 simulations 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.
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Caruso, G., Cavailhes, J., Frankhauser, P., Peeters, D., Thomas, I., & Vuidel, G. (2009). Morphological similarities between DBM and an economic geography model of city growth. In J. Zhou (ed.), Complex sciences : First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised papers, part 1 (p. p. 417-428). ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering. https://hdl.handle.net/2078.5/41457