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Aménités urbaines et périurbaines dans une aire métropolitaine de forme fractale


  • Jean Cavailhès
  • Pierre Frankhauser
  • Dominique Peeters
  • Isabelle Thomas


In the THÜNEN tradition, Urban Economy is a striking abstraction, giving models that keep the main features of the wide diversity of real word cities. Nevertheless, this paradigm less suits the modern urban spatial structures (polycentrism, weak centripetal forces, etc.), particularly the peri-urban form of metropolitan areas, which are an urban/rural integrated space. In this paper, we propose a classical micro-economic urban model combined with a « SIERPINSKI?s carpet » geometry, a fractal form which suits for fit together urban and rural areas in a hierarchical structure. Subject to a budget constraint, a household maximises a Cobb-Douglas/CES function, where household?s taste for diversity is modelled with the CES sub-utility functions. Equilibrium is realised on the land market. Household?s optimum depends on the accessibility to hierarchically arranged amenities. Distances between cells are calculated following the metric of the SIERPINSKI?s carpet. An analytical solution is found and simulations show some effects of the fractal geometry. The land rent gradient depends on the accessibility to urban and rural amenities and it is not monotonous in the distance from the CBD, as in Thünen?s models. SIERPINSKI?s form produces results very different from Thünen?s one when commuting cost is low, amenity taste is high or when substituability between amenities is weak. Classification JEL : R14, R21.

Suggested Citation

  • Jean Cavailhès & Pierre Frankhauser & Dominique Peeters & Isabelle Thomas, 2002. "Aménités urbaines et périurbaines dans une aire métropolitaine de forme fractale," Revue d'économie régionale et urbaine, Armand Colin, vol. 0(5), pages 729-760.
  • Handle: RePEc:cai:rerarc:reru_025_0729

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    Cited by:

    1. Pham, Hai-Vu, 2010. "La dimension conflictuelle des projets d’infrastructure : essais sur la décision publique, le contentieux et les prix immobiliers," Economics Thesis from University Paris Dauphine, Paris Dauphine University, number 123456789/5656 edited by Torre, André & Kirat, Thierry, March.
    2. repec:dau:papers:123456789/5658 is not listed on IDEAS

    More about this item


    urban economics; fractal geometry; peri-urban; land rent;

    JEL classification:

    • R14 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Land Use Patterns
    • R21 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Housing Demand


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