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Residential Equilibrium in a Multifractal Metropolitan Area

Author

Listed:
  • Isabelle Thomas

  • Jean Cavailhes

  • Pierre Frankhauser

  • Dominique Peeters

Abstract

In this paper, an urban economic model of residential location is combined with multifractal geometry (Sierpinski carpet) in order to model and analyse the spatial structure of a metropolitan area. This area is made of an urban system organised hierarchically around a central CBD, as well as of green spaces that have an inverse hierarchical organisation. The properties of the model are studied by means of analytical solutions. Then, simulation are made, which are based of French urban realities. This enables one to choose realistic parameters and to analyse the effects of several modelling assumptions (changes in preferences, economic shocks, …). The modelling results show that French periurbanisation of the last 30 years can be explained by the increase in income and by the decrease in transportation costs, probably without any changes in households preferences.

Suggested Citation

  • Isabelle Thomas & Jean Cavailhes & Pierre Frankhauser & Dominique Peeters, 2006. "Residential Equilibrium in a Multifractal Metropolitan Area," ERSA conference papers ersa06p151, European Regional Science Association.
    • Handle: RePEc:wiw:wiwrsa:ersa06p151
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    Cited by:

    1. is not listed on IDEAS
    2. Chen, Yanguang, 2014. "Multifractals of central place systems: Models, dimension spectrums, and empirical analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 266-282.
    3. Stepinski, Tomasz F. & Dmowska, Anna, 2020. "Complexity in patterns of racial segregation," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    4. Mendonça, Rita & Roebeling, Peter & Martins, Filomena & Fidélis, Teresa & Teotónio, Carla & Alves, Henrique & Rocha, João, 2020. "Assessing economic instruments to steer urban residential sprawl, using a hedonic pricing simulation modelling approach," Land Use Policy, Elsevier, vol. 92(C).
    5. Saeedimoghaddam, Mahmoud & Stepinski, T.F., 2021. "Multiplicative random cascade models of multifractal urban structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).

    More about this item

    JEL classification:

    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • R21 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Housing Demand

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