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Residential equilibrium in a multifractal metropolitan area

  • CAVAILHES, Jean
  • FRANKHAUSER, Pierre
  • PEETERS, Dominique
  • THOMAS, Isabelle

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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File URL: http://dx.doi.org/10.1007/s00168-009-0316-5
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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers RP with number -2266.

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Handle: RePEc:cor:louvrp:-2266
Note: In : The Annals of Regional Science, 681-704, 45(3), 2010
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  1. 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.
  2. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
  3. Andre Bender & Allan Din & Philippe Favarger & Martin Hoesli & Janne Laakso, 1997. "An Analysis of Perceptions Concerning the Environmental Quality of Housing in Geneva," Urban Studies, Urban Studies Journal Limited, vol. 34(3), pages 503-513, March.
  4. Cheshire, Paul & Sheppard, Stephen, 2002. "The welfare economics of land use planning," Journal of Urban Economics, Elsevier, vol. 52(2), pages 242-269, September.
  5. BRUECKNER, Jan K. & THISSE, Jacques-François & ZENOU, Yves, . "Why is central Paris rich and downtown Detroit poor? An amenity-based theory," CORE Discussion Papers RP -1370, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. 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).
  7. OTTAVIANO, Gianmarco & THISSE, Jacques-François, 1999. "Agglomeration and trade revisited," CORE Discussion Papers 1999041, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Elizabeth Marshall, 2004. "Open-Space Amenities, Interacting Agents, and Equilibrium Landscape Structure," Land Economics, University of Wisconsin Press, vol. 80(2), pages 272-293.
  9. 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.
  10. M Batty, 1991. "Generating urban forms from diffusive growth," Environment and Planning A, Pion Ltd, London, vol. 23(4), pages 511-544, April.
  11. Paul Krugman, 1990. "Increasing Returns and Economic Geography," NBER Working Papers 3275, National Bureau of Economic Research, Inc.
  12. Richard Arnott & Alex Anas & Kenneth Small, 1997. "Urban Spatial Structure," Boston College Working Papers in Economics 388., Boston College Department of Economics.
  13. 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.
  14. 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.
  15. 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).
  16. Robert E. Lucas & Esteban Rossi-Hansberg, 2002. "On the Internal Structure of Cities," Econometrica, Econometric Society, vol. 70(4), pages 1445-1476, July.
  17. 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.
  18. 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.
  19. 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.
  20. d'ASPREMONT, C. & DOS SANTOS FERREIRA, R. & GÉRARD-VARET, L.-A., . "On the Dixit-Stiglitz model of monopolistic competition," CORE Discussion Papers RP -1211, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  21. 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.
  22. THOMAS, Isabelle & FRANKHAUSER, Pierre & BIERNACKI, Christophe, . "The morphology of built-up landscapes in Wallonia (Belgium): A classification using fractal indices," CORE Discussion Papers RP -1997, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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