IDEAS home Printed from https://ideas.repec.org/a/spr/anresc/v45y2010i3p681-704.html
   My bibliography  Save this article

Residential equilibrium in a multifractal metropolitan area

Author

Listed:
  • Jean Cavailhès
  • Pierre Frankhauser
  • Dominique Peeters
  • Isabelle Thomas

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.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Jean Cavailhès & Pierre Frankhauser & Dominique Peeters & Isabelle Thomas, 2010. "Residential equilibrium in a multifractal metropolitan area," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 45(3), pages 681-704, December.
    • Handle: RePEc:spr:anresc:v:45:y:2010:i:3:p:681-704
    DOI: 10.1007/s00168-009-0316-5
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00168-009-0316-5
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00168-009-0316-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    3. Gianmarco Ottaviano & Takatoshi Tabuchi & Jacques-François Thisse, 2021. "Agglomeration And Trade Revisited," World Scientific Book Chapters, in: Firms and Workers in a Globalized World Larger Markets, Tougher Competition, chapter 3, pages 59-85, World Scientific Publishing Co. Pte. Ltd..
    4. Brueckner, Jan K. & Thisse, Jacques-Francois & Zenou, Yves, 1999. "Why is central Paris rich and downtown Detroit poor?: An amenity-based theory," European Economic Review, Elsevier, vol. 43(1), pages 91-107, January.
    5. 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.
    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. Isabelle Thomas & Pierre Frankhauser & Marie‐Laurence De Keersmaecker, 2007. "Fractal dimension versus density of built‐up surfaces in the periphery of Brussels," Papers in Regional Science, Wiley Blackwell, vol. 86(2), pages 287-308, June.
    9. 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.
    10. THOMAS, Isabelle & FRANKHAUSER, Pierre & BIERNACKI, Christophe, 2009. "The morphology of built-up landscapes in Wallonia (Belgium): A classification using fractal indices," LIDAM Reprints CORE 1997, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    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.
    12. 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.
    13. M Batty, 1991. "Generating Urban Forms from Diffusive Growth," Environment and Planning A, , vol. 23(4), pages 511-544, April.
    14. repec:cor:louvrp:-1211 is not listed on IDEAS
    15. d'Aspremont, Claude & Dos Santos Ferreira, Rodolphe & Gerard-Varet, Louis-Andre, 1996. "On the Dixit-Stiglitz Model of Monopolistic Competition," American Economic Review, American Economic Association, vol. 86(3), pages 623-629, June.
    16. 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.
    17. 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.
    18. 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.
    19. Elizabeth Marshall, 2004. "Open-Space Amenities, Interacting Agents, and Equilibrium Landscape Structure," Land Economics, University of Wisconsin Press, vol. 80(2), pages 272-293.
    20. repec:cor:louvrp:-1370 is not listed on IDEAS
    21. Robert W. Paterson & Kevin J. Boyle, 2002. "Out of Sight, Out of Mind? Using GIS to Incorporate Visibility in Hedonic Property Value Models," Land Economics, University of Wisconsin Press, vol. 78(3), pages 417-425.
    22. Robert E. Lucas & Esteban Rossi-Hansberg, 2002. "On the Internal Structure of Cities," Econometrica, Econometric Society, vol. 70(4), pages 1445-1476, July.
    23. repec:cor:louvrp:-1997 is not listed on IDEAS
    24. 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.
    25. 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.
    26. Brian Roe & Elena G. Irwin & Hazel A. Morrow-Jones, 2004. "The Effects of Farmland, Farmland Preservation, and Other Neighborhood Amenities on Housing Values and Residential Growth," Land Economics, University of Wisconsin Press, vol. 80(1), pages 55-75.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.
    2. Stepinski, Tomasz F. & Dmowska, Anna, 2020. "Complexity in patterns of racial segregation," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    3. Saeedimoghaddam, Mahmoud & Stepinski, T.F., 2021. "Multiplicative random cascade models of multifractal urban structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 569(C).
    4. Mendonça, Rita & Roebeling, Peter & Martins, Filomena & Fidélis, Teresa & Teotónio, Carla & Alves, Henrique & Rocha, João, 2020. "Assessing economic instruments to steer urban residential sprawl, using a hedonic pricing simulation modelling approach," Land Use Policy, Elsevier, vol. 92(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Caruso, Geoffrey & Peeters, Dominique & Cavailhes, Jean & Rounsevell, Mark, 2007. "Spatial configurations in a periurban city. A cellular automata-based microeconomic model," Regional Science and Urban Economics, Elsevier, vol. 37(5), pages 542-567, September.
    2. Wu, JunJie, 2006. "Environmental amenities, urban sprawl, and community characteristics," Journal of Environmental Economics and Management, Elsevier, vol. 52(2), pages 527-547, September.
    3. Breinlich, Holger & Ottaviano, Gianmarco I.P. & Temple, Jonathan R.W., 2014. "Regional Growth and Regional Decline," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 4, pages 683-779, Elsevier.
    4. JunJie Wu & Richard M. Adams & Andrew J. Plantinga, 2004. "Amenities in an Urban Equilibrium Model: Residential Development in Portland, Oregon," Land Economics, University of Wisconsin Press, vol. 80(1), pages 19-32.
    5. Pflüger, Michael & Tabuchi, Takatoshi, 2010. "The size of regions with land use for production," Regional Science and Urban Economics, Elsevier, vol. 40(6), pages 481-489, November.
    6. Coisnon, Thomas & Oueslati, Walid & Salanié, Julien, 2014. "Urban sprawl occurrence under spatially varying agricultural amenities," Regional Science and Urban Economics, Elsevier, vol. 44(C), pages 38-49.
    7. José M. Gaspar, 2020. "Paul Krugman: contributions to Geography and Trade," Letters in Spatial and Resource Sciences, Springer, vol. 13(1), pages 99-115, April.
    8. Koster, Hans R.A. & Rouwendal, Jan, 2013. "Agglomeration, commuting costs, and the internal structure of cities," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 352-366.
    9. Turner, Matthew A., 2005. "Landscape preferences and patterns of residential development," Journal of Urban Economics, Elsevier, vol. 57(1), pages 19-54, January.
    10. Stephen J. Redding, 2013. "Economic Geography: A Review of the Theoretical and Empirical Literature," Palgrave Macmillan Books, in: Daniel Bernhofen & Rod Falvey & David Greenaway & Udo Kreickemeier (ed.), Palgrave Handbook of International Trade, chapter 16, pages 497-531, Palgrave Macmillan.
    11. Pia Nilsson, 2017. "Are valuations of place-based amenities driven by scale?," Housing Studies, Taylor & Francis Journals, vol. 32(4), pages 449-469, May.
    12. Fujita, Masahisa & Thisse, Jacques-François, 2001. "Agglomération et marché," Cahiers d'Economie et de Sociologie Rurales (CESR), Institut National de la Recherche Agronomique (INRA), vol. 58.
    13. Stef Proost & Jacques-François Thisse, 2019. "What Can Be Learned from Spatial Economics?," Journal of Economic Literature, American Economic Association, vol. 57(3), pages 575-643, September.
    14. Behrens, Kristian & Robert-Nicoud, Frédéric, 2008. "Survival of the fittest in cities: agglomeration, selection, and polarisation," LSE Research Online Documents on Economics 28506, London School of Economics and Political Science, LSE Library.
    15. Walid Chatti & Bassem Ben Soltane & Turki Abalala, 2019. "Impacts of Public Transport Policy on City Size and Welfare," Networks and Spatial Economics, Springer, vol. 19(4), pages 1097-1122, December.
    16. Fabian Waltert & Felix Schlaepfer, 2007. "The role of landscape amenities in regional development: a survey of migration, regional economic and hedonic pricing studies," SOI - Working Papers 0710, Socioeconomic Institute - University of Zurich.
    17. Akamatsu, Takashi & Takayama, Yuki & Ikeda, Kiyohiro, 2012. "Spatial discounting, Fourier, and racetrack economy: A recipe for the analysis of spatial agglomeration models," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1729-1759.
    18. PICARD, Pierre & THISSE, Jacques-François & TOULEMONDE, Eric, 2002. "Economic geography and the role of profits," LIDAM Discussion Papers CORE 2002027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    19. Anderson, Soren T. & West, Sarah E., 2006. "Open space, residential property values, and spatial context," Regional Science and Urban Economics, Elsevier, vol. 36(6), pages 773-789, November.
    20. repec:esx:essedp:729 is not listed on IDEAS
    21. Rémi Lemoy & Charles Raux & Pablo Jensen, 2016. "Exploring the polycentric city with multi-worker households: an agent-based microeconomic model," Post-Print hal-00602087, HAL.

    More about this item

    Keywords

    R12; R21;

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:anresc:v:45:y:2010:i:3:p:681-704. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.