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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. Richard Arnott & Alex Anas & Kenneth Small, 1997. "Urban Spatial Structure," Boston College Working Papers in Economics 388., Boston College Department of Economics.
  2. Gianmarco Ottaviano & Takatoshi Tabuchi & Jacques-FranÁois Thisse, 2002. "Agglomeration and Trade Revisited," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(2), pages 409-436, May.
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  4. 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.
  5. repec:cor:louvrp:-1370 is not listed on IDEAS
  6. 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, vol. 36(8), pages 1471-1498, August.
  7. 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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  10. Cheshire, Paul & Sheppard, Stephen, 2002. "The welfare economics of land use planning," Journal of Urban Economics, Elsevier, vol. 52(2), pages 242-269, September.
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  12. M Batty, 1991. "Generating urban forms from diffusive growth," Environment and Planning A, Pion Ltd, London, vol. 23(4), pages 511-544, April.
  13. 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.
  14. 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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  16. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-99, June.
  17. 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.
  18. Isabelle Thomas & Marie-Laurence De Keersmaecker & Pierre Frankhauser, 2003. "Using fractal dimensions for characterizing intra-urban diversity. The example of Brussels," ERSA conference papers ersa03p116, European Regional Science Association.
  19. 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.
  20. Bender, A. & Din, A. & Favarger, P. & Hoesli, M. & Laakso, J., 1996. "An Analysis of Perceptions Concerning the Environmental Quality of Housing in Geneva," Papers 96.18, Ecole des Hautes Etudes Commerciales, Universite de Geneve-.
  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. 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.
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