Residential equilibrium in a multifractal metropolitan area
Tóm tắt
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 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.
Tài liệu tham khảo
Anas A, Arnott R, Small K (1998) Urban spatial structure. J Econ Lit 36: 1426–1464
Arlinghaus S, Arlinghaus W (1989) The fractal theory of central place geometry: a Diophantine analysis of fractal generators for arbitrary Löschian numbers. Geogr Anal 21: 103–121
Bates LJ, Santerre RE (2001) The public demand of open space: the case of Connecticut communities. J Urban Econ 50: 97–111
Bailly E (1999) Modèle de simulation fractale et croissance urbaine; étude de cas: Nice, Marseille, Gènes (Fractal simulation models and urban growth: case studies: Nice, Marseille, Genoa). PhD thesis, University of Nice Sophia-Antipolis.
Batty M (1991) Generating urban forms from diffusive growth. Environ Plan A 23: 511–544
Batty M (2005) Understanding cities with cellular automata, agent-based models and fractals. MIT Press, Cambridge
Batty M, Longley P (1994) Fractal cities: a geometry of form and function. Academic, London
Batty M, Xie Y (1996) Preliminary evidence for a theory of fractal cities. Environ Plan A 28: 1745–1762
Bender A, Din A, Favarger P, Hoesli M, Laakso J (1997) An analysis of perceptions concerning the environmental quality of housing in Geneva. Urban Stud 34: 503–513
Bolitzer B, Netusil NR (2000) The impact of open spaces on property values in Portland, Oregon. J Environ Manag 59: 185–193
Brueckner JK, Thisse JF, Zenou Y (1999) Why is central Paris rich and downtown Detroit poor? An amenity-based theory. Eur Econ Rev 43: 91–107
Burchfield M, Overman HG, Puga D, Turner MA (2006) The determinants of urban sprawl: a portrait from space. Q J Econ 121: 587–633
Cavailhès J (2005) Le prix des attributs du logement. Economie et Statistique 381(382): 91–123
Cavailhès J, Frankhauser P, Peeters D, Thomas I (2004a) Where Alonso meets Sierpinski: an urban economic model of a fractal metropolitan area. Environ Plan A 36((8): 1471–1498
Cavailhès J, Peeters D, Sekeris E, Thisse JF (2004) The peri-urban city: why to live between the suburbs and the countryside?. Reg Sci Urban Econ 34: 681–703
Chamberlin E (1933) The theory of monopolistic competition. Harvard University Press, Cambridge
Cheshire P, Sheppard S (1995) On the price of land and the value of amenities. Economica 62: 247–267
Cheshire P, Sheppard S (2002) The welfare economics of land use planning. J Urban Econ 52: 242–269
Christaller W (1933) Die Zentralen Orte in Süddeutschland. Gustav Fischer Verlag, Jena
D’Aspremont C, Gabszewicz JJ, Thisse JF (1979) On Hotteling’s “stability in competition”. Econometrica 47: 1045–1050
D’Aspremont C, DosSantos Ferreira R, Gérard-Varet LA (1996) On the Dixit-Stiglitz model of monopolistic competition. Am Econ Rev 86: 623–629
De Keersmaecker ML, Frankhauser P, Thomas I (2003) Using fractal dimensions to characterise intra-urban diversity: the example of Brussels. Geogr Anal 35: 310–328
Dixit AK, Stiglitz JE (1977) Monopolistic competition and optimum product diversity. Am Econ Rev 67: 297–308
Frankhauser P (1994) La fractalité des structures urbaines. Anthropos, Paris
Frankhauser P (1998) The fractal approach: a new tool for the spatial analysis of urban agglomerations. Population: an english selection, pp 205–240
Frankhauser P (2008) Fractal geometry for measuring and modelling urban patterns. In: International workshop : the dynamics of complex urban systems, an interdisciplinary approach, Monte Verità (Ascona/Switzerland, November 2004). Springer, Heidelberg, pp 241–243
Fujita M, Krugman P, Venables A (1999) The spatial economy: cities, regions and international trade. MIT Press, Cambridge
Fujita M, Thisse JF (2002) Economy of agglomeration. Cambridge University Press, Cambridge
Geoghegan J, Wainger LA, Bockstael NE (1997) Spatial landscape indices in a hedonic framework: an ecological economics analysis using GIS. Ecol Econ 23: 251–264
Hobden DW, Laughton GE, Morgan KE (2004) Green space borders—a tangible benefit? Evidence from four neighbourhoods in Surrey, British Columbia, 1980–2001. Land Use Policy 21: 129–138
INSEE (1990) Annuaire rétrospectif de la France, 1948–1988, p 658
INSEE (2001) Les déplacements domicile-travail, Insee Première, 767, avril 2001, p 4
Irwin EG (2002) The effects of open space on residential property values. Land Econ 78: 465–480
Krugman P (1991) Increasing returns and economic geography. J Polit Econ 99: 483–499
Lucas RE, Rossi-Hansberg E (2002) On the internal structure of cities. Econometrica 70: 1445–1476
MacLennan M, Fotheringham S, Batty M, Longley P (1991) Fractal geometry and spatial phenomena: a bibliography, NCGIA report 91-1.
Marshall E (2004) Open-space amenities, interacting agents, and equilibrium landscape structure. Land Econ 80: 272–293
Mooney S, Eisgruber LM (2001) The influence of riparian protection measures on residential property values: the case of the Oregon plan for salmon and watersheds. J Real Estate Finance Econ 22: 273–286
Ogawa M, Fujita H (1982) Multiple equilibria and structural transition of non-monocentric urban configurations. Reg Sci Urban Econ 12: 166–196
Ottaviano GIP, Tabuchi T, Thisse JF (2002) Agglomeration and trade revisited. Int Econ Rev 43: 409–436
Paterson RW, Boyle KJ (2002) Out of sight, out of mind? Using GIS to incorporate visibility in hedonic property value models. Land Econ 78: 417–425
Roe B, Irwin EG, Morrow-Jones HA (2004) The effects of farmland, farmland preservation, and other neighborhood amenities on housing values and residential growth. Land Econ 80: 55–75
Thomas I, Frankhauser P, De Keersmaecker ML (2007) Fractal dimension versus density of the built-up surfaces in the periphery of Brussels. Papers Reg Sci 86: 287–307
Thomas I, Frankhauser P, Biernacki C (2008) The morphology of built-up landscapes in Wallonia (Belgium); a classification using fractal indices. Landsc Urban Plan 84: 99–115
Thorsnes P (2002) The value of a suburban forest preserve: estimates from sales of vacant residential building lots. Land Econ 78: 426–441
Turner MA (2005) Landscape preferences and patterns of residential development. J Urban Econ 57: 19–54
Tyrvainen L, Miettinen A (2000) Property prices and urban forest amenities. J Environ Econ Manag 39: 205–223
White R, Engelen G (1993) Cellular automata and fractal urban form: a cellular modelling approach to the evolution of urban land use patterns. Environ Plan A 25: 1175–1199
White R, Engelen G (1994) Cellular dynamics and GIS: modelling spatial complexity. Geogr Syst 1: 237–253
Wu JJ, Plantinga AJ (2003) The influence of public open space on urban spatial structure. J Environ Econ Manag 46: 288–309