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Residential Equilibrium in a Multifractal Metropolitan Area

  • Isabelle Thomas

    ()

  • Jean Cavailhes

    ()

  • Pierre Frankhauser

    ()

  • Dominique Peeters

    ()

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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File URL: http://www-sre.wu-wien.ac.at/ersa/ersaconfs/ersa06/papers/151.pdf
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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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  1. Anas, Alex & Arnott, Richard & Small, Kenneth A., 1997. "Urban Spatial Structure," University of California Transportation Center, Working Papers qt835049q3, University of California Transportation Center.
  2. OTTAVIANO, Gianmarco & TABUCHI , Takatoshi & THISSE, Jacques-François, . "Agglomeration and trade revisited," CORE Discussion Papers RP 1553, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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  7. Cheshire, Paul & Sheppard, Stephen, 1995. "On the Price of Land and the Value of Amenities," Economica, London School of Economics and Political Science, vol. 62(246), pages 247-67, May.
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  9. M Batty, 1991. "Generating urban forms from diffusive growth," Environment and Planning A, Pion Ltd, London, vol. 23(4), pages 511-544, April.
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  11. DE KEERSMAECKER, Marie-Laurence & FRANKHAUSER, Pierre & THOMAS, Isabelle, . "Using fractal dimensions for characterizing intra-urban diversity: the example of Brussels," CORE Discussion Papers RP 1686, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. Fujita, Masahisa & Ogawa, Hideaki, 1982. "Multiple equilibria and structural transition of non-monocentric urban configurations," Regional Science and Urban Economics, Elsevier, vol. 12(2), pages 161-196, May.
  13. CAVAILHES, Jean & FRANKHAUSER, Pierre & PEETERS, Dominique & THOMAS, Isabelle, . "Where Alonso meets Sierpinski: an urban economic model of a fractal metropolitan area," CORE Discussion Papers RP 1721, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  14. Paul Cheshire & Stephen Sheppard, 2001. "The Welfare Economics of Land Use Planning," Department of Economics Working Papers 2001-03, Department of Economics, Williams College.
  15. Geoghegan, Jacqueline & Wainger, Lisa A. & Bockstael, Nancy E., 1997. "Spatial landscape indices in a hedonic framework: an ecological economics analysis using GIS," Ecological Economics, Elsevier, vol. 23(3), pages 251-264, December.
  16. Marie-Laurence Dekeersmaecker & Pierre Frankhauser & Isabelle Thomas, 2004. "Fractal dimension versus density of the built-up surfaces in the periphery of Brussels," ERSA conference papers ersa04p69, European Regional Science Association.
  17. CAVAILHES, Jean & PEETERS, Dominique & SEKERIS, Evangelos & THISSE, Jacques-François, . "The periurban city: why to live between the suburbs and the countryside," CORE Discussion Papers RP 1736, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  18. Robert E. Lucas & Esteban Rossi-Hansberg, 2002. "On the Internal Structure of Cities," Econometrica, Econometric Society, vol. 70(4), pages 1445-1476, July.
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  22. Wu, JunJie & Plantinga, Andrew J., 2003. "The influence of public open space on urban spatial structure," Journal of Environmental Economics and Management, Elsevier, vol. 46(2), pages 288-309, September.
  23. Elizabeth Marshall, 2004. "Open-Space Amenities, Interacting Agents, and Equilibrium Landscape Structure," Land Economics, University of Wisconsin Press, vol. 80(2), pages 272-293.
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