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Residential equilibrium in a multifractal metropolitan area

  • CAVAILHES, Jean

    ()

    (NRA, UMR 1041, CESAER, Dijon, France)

  • FRANKHAUSER, Pierre

    (CNRS, ThéMA, Université de Franche-Comté, Besançon, France)

  • PEETERS, Dominique

    ()

    (Université catholique de Louvain (UCL). Center for Operations Research and Econometrics (CORE) and Department of Geography)

  • THOMAS, Isabelle

    ()

    (Université catholique de Louvain (UCL). Center for Operations Research and Econometrics (CORE) and Department of Geography)

A residential location model derived from urban economics is combined with the geometry of a multifractal Sierpinski carpet to represent and model a metropolitan area. This area is made up of a system of built-up patches hierarchically organised around a city centre, and green areas arranged in an inverse hierarchical order (large open-spaces in the periphery). An analytical solution is obtained by using a specific geographic coding system for computing distances. The values of the parameters used in the model are based on the French medium sized metropolitan areas; a realistic benchmark is proposed and comparative-statics simulations are performed. The results show that the French peri-urbanisation process (which took place from 1970 onward) can be explained by an increase in income and a reduction in transport costs. Nevertheless, changes in household preferences, in particular an increased taste for open spaces, can also contribute to urban sprawl by making the gradient of land rents less steep and by making peripheral household locations more desirable

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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2009045.

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Date of creation: 01 Jul 2009
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Handle: RePEc:cor:louvco:2009045
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  1. Tyrvainen, Liisa & Miettinen, Antti, 2000. "Property Prices and Urban Forest Amenities," Journal of Environmental Economics and Management, Elsevier, vol. 39(2), pages 205-223, March.
  2. 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.
  3. 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).
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  9. 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.
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  12. M Batty, 1991. "Generating Urban Forms from Diffusive Growth," Environment and Planning A, SAGE Publishing, vol. 23(4), pages 511-544, April.
  13. 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.
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  15. 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, vol. 34(6), pages 681-703, November.
  16. 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).
  17. Paul Cheshire & Stephen Sheppard, 2001. "The Welfare Economics of Land Use Planning," Department of Economics Working Papers 2001-03, Department of Economics, Williams College.
  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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  20. Richard Arnott & Alex Anas & Kenneth Small, 1997. "Urban Spatial Structure," Boston College Working Papers in Economics 388., Boston College Department of Economics.
  21. 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.
  22. Bates, Laurie J. & Santerre, Rexford E., 2001. "The Public Demand for Open Space: The Case of Connecticut Communities," Journal of Urban Economics, Elsevier, vol. 50(1), pages 97-111, July.
  23. 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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