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Residential Equilibrium in a Multifractal Metropolitan Area

Author

Listed:
  • 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.

Suggested Citation

  • Isabelle Thomas & Jean Cavailhes & Pierre Frankhauser & Dominique Peeters, 2006. "Residential Equilibrium in a Multifractal Metropolitan Area," ERSA conference papers ersa06p151, European Regional Science Association.
  • Handle: RePEc:wiw:wiwrsa:ersa06p151
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    File URL: http://www-sre.wu.ac.at/ersa/ersaconfs/ersa06/papers/151.pdf
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    References listed on IDEAS

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    1. Cheshire, Paul & Sheppard, Stephen, 2002. "The welfare economics of land use planning," Journal of Urban Economics, Elsevier, vol. 52(2), pages 242-269, September.
    2. Alex Anas & Richard Arnott & Kenneth A. Small, 1998. "Urban Spatial Structure," Journal of Economic Literature, American Economic Association, vol. 36(3), pages 1426-1464, September.
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    4. 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.
    5. Jean Cavailhès & Pierre Frankhauser & Dominique Peeters & Isabelle Thomas, 2004. "Where Alonso Meets Sierpinski: An Urban Economic Model of a Fractal Metropolitan Area," Environment and Planning A, , vol. 36(8), pages 1471-1498, August.
    6. 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.
    7. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    8. 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.
    9. THOMAS, Isabelle & FRANKHAUSER, Pierre & BIERNACKI, Christophe, 2009. "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).
    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. 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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    13. 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.
    14. 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 247-267, May.
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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, vol. 402(C), pages 266-282.

    More about this item

    JEL classification:

    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • R21 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Housing Demand

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