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Residential Equilibrium in a Multifractal Metropolitan Area

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  • 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.

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Bibliographic Info

Paper provided by European Regional Science Association in its series ERSA conference papers with number ersa06p151.

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Date of creation: Aug 2006
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Handle: RePEc:wiw:wiwrsa:ersa06p151

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  2. Cavailhes, Jean & Peeters, Dominique & Sekeris, Evangelos & Thisse, Jacques-Francois, 2004. "The periurban city: why to live between the suburbs and the countryside," Regional Science and Urban Economics, Elsevier, Elsevier, vol. 34(6), pages 681-703, November.
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  15. Jean Cavailh�s & Pierre Frankhauser & Dominique Peeters & Isabelle Thomas, 2004. "Where Alonso meets Sierpinski: an urban economic model of a fractal metropolitan area," Environment and Planning A, Pion Ltd, London, Pion Ltd, London, vol. 36(8), pages 1471-1498, August.
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  17. Paul Cheshire & Stephen Sheppard, 2001. "The Welfare Economics of Land Use Planning," Department of Economics Working Papers, Department of Economics, Williams College 2001-03, Department of Economics, Williams College.
  18. Elizabeth Marshall, 2004. "Open-Space Amenities, Interacting Agents, and Equilibrium Landscape Structure," Land Economics, University of Wisconsin Press, University of Wisconsin Press, vol. 80(2), pages 272-293.
  19. M Batty, 1991. "Generating urban forms from diffusive growth," Environment and Planning A, Pion Ltd, London, Pion Ltd, London, vol. 23(4), pages 511-544, April.
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Cited by:
  1. Chen, Yanguang, 2014. "Multifractals of central place systems: Models, dimension spectrums, and empirical analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, Elsevier, vol. 402(C), pages 266-282.

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