On the Distribution of City Sizes
AbstractThe city size distribution of many countries is remarkably well approximated by a Pareto distribution. We study what constraints this regularity imposes on standard urban models. We find that under general conditions urban models must have (i) a balanced growth path and (ii) a Pareto distribution for the underlying source of randomness. In particular, one of the following combinations can induce a Pareto distribution of city sizes: (i) preferences for different goods follow reflected random walks, and the elasticity of substitution between goods is 1; or (ii) total factor productivities in the production of different goods follow reflected random walks, and increasing returns are equal across goods.
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Bibliographic InfoPaper provided by EconWPA in its series Urban/Regional with number 0302002.
Length: 31 pages
Date of creation: 14 Feb 2003
Date of revision:
Note: Type of Document - pdf; pages: 31 ; figures: included
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Web page: http://220.127.116.11
City Size Distribution; Zipf's Law; Rank-Size Rule; Pareto Distribution; Urban Growth; Multisectorial Models; Balanced Growth; Cities;
Other versions of this item:
- R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
- R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
- O41 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
- J10 - Labor and Demographic Economics - - Demographic Economics - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2003-02-18 (All new papers)
- NEP-GEO-2003-02-18 (Economic Geography)
- NEP-URE-2003-02-18 (Urban & Real Estate Economics)
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- Masahisa Fujita & Paul Krugman & Anthony J. Venables, 2001. "The Spatial Economy: Cities, Regions, and International Trade," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262561476, June.
- Henderson, J V, 1974.
"The Sizes and Types of Cities,"
American Economic Review,
American Economic Association, vol. 64(4), pages 640-56, September.
- Segal, David, 1976. "Are There Returns to Scale in City Size?," The Review of Economics and Statistics, MIT Press, vol. 58(3), pages 339-50, August.
- Ioannides, Yannis M. & Overman, Henry G., 2003.
"Zipf's law for cities: an empirical examination,"
Regional Science and Urban Economics,
Elsevier, vol. 33(2), pages 127-137, March.
- Ioannides, Yannis Menelaos & Overman, Henry G., 2003. "Zipf’s law for cities : an empirical examination," Open Access publications from London School of Economics and Political Science http://eprints.lse.ac.uk/, London School of Economics and Political Science.
- Y Ioannides & Henry Overman, 2000. "Zipfs Law for Cities: An Empirical Examination," CEP Discussion Papers dp0484, Centre for Economic Performance, LSE.
- Fujita, Masahisa & Mori, Tomoya, 1997. "Structural stability and evolution of urban systems," Regional Science and Urban Economics, Elsevier, vol. 27(4-5), pages 399-442, August.
- Eaton, Jonathan & Eckstein, Zvi, 1997.
"Cities and growth: Theory and evidence from France and Japan,"
Regional Science and Urban Economics,
Elsevier, vol. 27(4-5), pages 443-474, August.
- Jonathan Eaton & Zvi Eckstein, 1994. "Cities and Growth: Theory and Evidence from France and Japan," NBER Working Papers 4612, National Bureau of Economic Research, Inc.
- Jonathan Eaton & Zvi Eckstein, 1994. "Cities and Growth: Theory and Evidence from france and Japan," Boston University - Institute for Economic Development 36, Boston University, Institute for Economic Development.
- Duncan Black & Vernon Henderson, 1997. "Urban Growth," NBER Working Papers 6008, National Bureau of Economic Research, Inc.
- Paul M Romer, 1999.
"Increasing Returns and Long-Run Growth,"
Levine's Working Paper Archive
2232, David K. Levine.
- Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August.
- Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
- Kwok Tong Soo, 2004.
"Zipfs Law for Cities: A Cross Country Investigation,"
CEP Discussion Papers
dp0641, Centre for Economic Performance, LSE.
- Soo, Kwok Tong, 2005. "Zipf's Law for cities: a cross-country investigation," Regional Science and Urban Economics, Elsevier, vol. 35(3), pages 239-263, May.
- Duncan Black & Vernon Henderson, 1999. "A Theory of Urban Growth," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 252-284, April.
- Rosen, Kenneth T. & Resnick, Mitchel, 1980. "The size distribution of cities: An examination of the Pareto law and primacy," Journal of Urban Economics, Elsevier, vol. 8(2), pages 165-186, September.
- Ioannides, Yannis M., 1994. "Product differentiation and economic growth in a system of cities," Regional Science and Urban Economics, Elsevier, vol. 24(4), pages 461-484, August.
- King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
- Stanley, Michael H. R. & Buldyrev, Sergey V. & Havlin, Shlomo & Mantegna, Rosario N. & Salinger, Michael A. & Eugene Stanley, H., 1995. "Zipf plots and the size distribution of firms," Economics Letters, Elsevier, vol. 49(4), pages 453-457, October.
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