González-Val, Rafael and Lanaspa, Luis (2013): Patterns in U.S. urban growth (1790–2000).
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Abstract
This paper reconsiders the path of the growth of American cities since 1790 (the first census published) in light of new theories of urban growth. Our null hypothesis for long-term growth is random growth, but the alternative is not only mean reversion as is usual. We obtain evidence supporting random growth against the alternative of mean reversion (convergence) in city sizes using panel unit root tests, but we also examine mobility within the size distribution of cities to try to extract growth patterns different from the general unit root trend detected. We find evidence of high mobility when we model growth as a first-order Markov process. Finally, by using a cluster procedure, we find strong evidence in favour of conditional convergence in city growth rates within convergence clubs, which we interpret as “local” mean-reverting behaviours. We interpret the high mobility and the results of the clustering analysis as signs of a sequential city growth pattern toward a random growth steady state.
Item Type: | MPRA Paper |
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Original Title: | Patterns in U.S. urban growth (1790–2000) |
Language: | English |
Keywords: | city size; urban growth; random growth; sequential city growth; transition matrices; club convergence |
Subjects: | O - Economic Development, Innovation, Technological Change, and Growth > O1 - Economic Development > O18 - Urban, Rural, Regional, and Transportation Analysis ; Housing ; Infrastructure C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C12 - Hypothesis Testing: General R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R12 - Size and Spatial Distributions of Regional Economic Activity R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R11 - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes |
Item ID: | 52539 |
Depositing User: | Rafael González-Val |
Date Deposited: | 29 Dec 2013 05:10 |
Last Modified: | 02 Oct 2019 07:12 |
References: | Baltagi, B. H., (2008). Econometric Analysis of Panel Data. Wiley: Chichester, Fourth Edition. Banerjee, A., M. Massimiliano, and C. Osbat, (2005). Testing for PPP: should we use panel methods? Empirical Economics, 30: 77–91. Batty, M., (2006). Rank clocks. Nature, Vol. 444, 30 November 2006, 592–596. Beeson, P.E., D. N. DeJong, and W. Troesken, (2001). Population Growth in US Counties, 1840-1990. Regional Science and Urban Economics, 31: 669–699. Berry, B. J. L., and J. D. Kasarda, (1977). Contemporary Urban Ecology. New York: Macmillan Publishing Co. Black, D., and V. Henderson, (1999). Spatial Evolution of Population and Industry in the United States. The American Economic Review, Vol. 89(2), Papers and Proceedings of the One Hundred Eleventh Annual Meeting of the American Economic Association (May, 1999), 321–327. Black, D., and V. Henderson, (2003). Urban evolution in the USA. Journal of Economic Geography, Vol. 3(4): 343–372. Bleakley, H., and J. Lin, (2012). Portage and Path Dependence. The Quarterly Journal of Economics, 127(2): 587–644. Bosker, E. M., S. Brakman, H. Garretsen and M. Schramm, (2008). A century of shocks: the evolution of the German city size distribution 1925–1999. Regional Science and Urban Economics 38: 330–347. Breitung, J., (2000). The Local Power of Some Unit Root Tests for Panel Data. Advances in Econometrics, 15: 161–177. Bridenbaugh, C., (1938). Cities in the Wilderness. The Ronald Press. Canova, F., (2004). Testing for convergence clubs in income per capita: a predictive density approach. International Economic Review, 45: 49–77. Champernowne, D., (1953). A model of income distribution. Economic Journal, LXIII: 318–351. Cheshire, P. C., and S. Magrini, (2006). Population Growth in European Cities: Weather Matters – but only Nationally. Regional Studies, 40(1): 23–37. Chudacoff, H. P., J. E. Smith, and P. C. Baldwin, (2010). The Evolution of American Urban Society. New York: Prentice Hall, 7th edition. Clark, J. S., and J. C. Stabler, (1991). Gibrat's Law and the Growth of Canadian Cities. Urban Studies, 28(4): 635–639. Córdoba, J. C., (2008). A generalized Gibrat's law. International Economic Review, Vol. 49(4): 1463–1468. Cuberes, D., (2009). A Model of Sequential City Growth. The B.E. Journal of Macroeconomics: Vol. 9: Iss. 1 (Contributions), Article 18. Cuberes, D., (2011). Sequential City Growth: Empirical Evidence. Journal of Urban Economics, 69: 229–239. Davis, D. R., and D. E. Weinstein, (2002). Bones, bombs, and break points: the geography of economic activity. American Economic Review, 92(5): 1269–1289. Desmet, K., and J. Rappaport, (2013). The settlement of the United States, 1800 to 2000: The Long Transition to Gibrat’s Law. CEPR Discussion Paper #9353. Dickey, D. A., and W. A. Fuller, (1979). Distributions of the Estimators for Autoregressive Time Series with a Unit Root. Journal of American Statistical Association, 74(366): 427–481. Dobkins, L. H., and Y. M. Ioannides, (2000). Dynamic evolution of the US city size distribution. Included in Huriot, J. M. and J. F. Thisse (Eds.), The economics of cities. Cambridge University Press, Cambridge, pp. 217–260. Dobkins, L. H., and Y. M. Ioannides, (2001). Spatial interactions among U.S. cities: 1900–1990. Regional Science and Urban Economics 31: 701–731. Duranton, G., (2007). Urban Evolutions: The Fast, the Slow, and the Still. American Economic Review, 97(1): 197–221. Durlauf, S. N., and P. A. Johnson, (1995). Multiple regimes and cross-country growth behavior. Journal of Applied Econometrics, 10: 365–384. Eaton, J., and Z. Eckstein, (1997). Cities and Growth: Theory and Evidence from France and Japan. Regional Science and Urban Economics, 27(4 –5): 443–474. Eeckhout, J., (2004). Gibrat's Law for (All) Cities. American Economic Review, 94(5): 1429–1451. Eeckhout, J., (2009). Gibrat’s Law for (all) Cities: Reply. American Economic Review, 99(4): 1676–1683. Ellison, G., and E. L. Glaeser, (1999). The geographic concentration of industry: Does natural advantage explain agglomeration? American Economic, Review Papers and Proceedings, 89(2): 311–316. Fogel, R. W., (1964). Railroads and American Economic Growth: Essays in Econometric History. Baltimore: Johns Hopkins Press. Gabaix, X., (1999). Zipf’s law for cities: An explanation. Quarterly Journal of Economics, 114(3): 739–767. Gabaix, X., and Y. M. Ioannides, (2004). The evolution of city size distributions. Handbook of urban and regional economics, Vol. 4, J. V. Henderson and J. F. Thisse, eds. Amsterdam: Elsevier Science, North-Holland, pp. 2341–2378. Galor, O., (1996). Convergence? Inferences from Theoretical Models. The Economic Journal, Vol. 106(437): 1056–1069. Garmestani, A. S., C. R. Allen, and K. M. Bessey, (2005). Time-series Analysis of Clusters in City Size Distributions. Urban Studies, Vol. 42(9): 1507–1515. Giesen, K., and J. Südekum, (2013). City Age and City Size. Beiträge zur Jahrestagung des Vereins für Socialpolitik 2013: Wettbewerbspolitik und Regulierung in einer globalen Wirtschaftsordnung - Session: Urban Economics I, No. B10-V3. Giesen, K., A. Zimmermann, and J. Suedekum, (2010). The size distribution across all cities – double Pareto lognormal strikes. Journal of Urban Economics, 68: 129–137. Glaab, C. H., and A. T. Brown, (1983). A History of Urban America. New York: Macmillan, 3rd edition. Glaeser, E. L., and J. Gyourko, (2005). Urban Decline and Durable Housing. Journal of Political Economy, 113(2): 345–375. González-Val, R., (2010). The Evolution of the US City Size Distribution from a Long-run Perspective (1900–2000). Journal of Regional Science, 50(5): 952–972. González-Val, R., L. Lanaspa, and F. Sanz, (2014). New Evidence on Gibrat’s Law for Cities. Urban Studies, 51(1): 93–115. Hamilton, J. D., (1994). Time Series Analysis. Princeton, NJ: Princeton University Press. Hawley, A. H., (1981). Urban Society: An Ecological Approach. New York: John Wiley, 2nd edition. Henderson, J. V., and Y. M. Ioannides, (1981). Aspects of growth in a system of cities. Journal of Urban Economics, 10(1): 117–139. Henderson, J. V., and A. Venables, (2009). The Dynamics of City Formation. Review of Economic Dynamics, 12: 233–254. Henderson, J. V., and H. G. Wang, (2007). Urbanization and city growth: The role of institutions. Regional Science and Urban Economics, 37(3): 283–313. Iceland, J., (2009). Where We Live Now. Berkeley, CA: University of California Press. Im, K. S., M. H. Pesaran, and Y. Shin, (2003). Testing for Unit Roots in Heterogeneous Panels. Journal of Econometrics, 115: 53–74. Ioannides, Y. M. and H. G. Overman, (2003). Zipf’s law for cities: an empirical examination. Regional Science and Urban Economics 33, 127–137. Kim, S., (2000). Urban development in the United States. Southern Economic Journal 66, 855–880. Kim, S., and R. A. Margo, (2004). Historical perspectives on U.S. Economic Geography. Handbook of urban and regional economics, vol. 4, J. V. Henderson and J. F. Thisse, eds. Amsterdam: Elsevier Science, North-Holland, Chapter 66, pp. 2982–3019. Lanaspa-Santolaria, L. F., A. Montañes, L. I. Olloqui-Cuartero, and F. Sanz-Gracia, (2002). The Phenomenon of Regional Inversion in the US manufacturing sector. Papers in Regional Science, 81(4): 461–482 Lanaspa, L. F., F. Pueyo, and F. Sanz, (2011). Urban dynamics during the twentieth century. A tale of five European countries. Mimeo, Universidad de Zaragoza. Levin, A., C.-F. Lin, and C.-S. J. Chu, (2002). Unit Root Tests in Panel Data: Asymptotic and Finite Sample Properties. Journal of Econometrics, 108: 1–24. Levy, M., (2009). Gibrat’s Law for (all) Cities: A Comment. American Economic Review, 99(4): 1672–1675. Massey, D. S., (2008). New Faces in New Places. New York: Russell Sage. Melo, P. C., D. J. Graham, and R. B. Noland, (2009). A Meta-analysis of Estimates of Urban Agglomeration Economies. Regional Science and Urban Economics, 39: 332–342. Michaels, G., F. Rauch, and S. J. Redding, (2012). Urbanization and Structural Transformation. The Quarterly Journal of Economics, 127(2): 535–586. Ng, S., and P. Perron, (1995). Unit root tests in ARMA models with data dependent methods for the selection of the truncation lag. Journal of the American Statistical Association 90, 268–281. Overman, H. G., and Y. M. Ioannides, (2001). Cross-Sectional Evolution of the U.S. City Size Distribution. Journal of Urban Economics 49, 543–566. Quah, D., (1993). Empirical cross-section dynamics in economic growth. European Economic Review, 31: 426–434. Pesaran, M. H., (2007). A simple panel unit root test in the presence of cross-section dependence. Journal of Applied Econometrics, 22: 265–312. Phillips, P. C. B., and D. Sul, (2007). Transition Modeling and Econometric Convergence Tests. Econometrica, Vol. 75, 1771–1855. Phillips, P. C. B., and D. Sul, (2009). Economic Transition and Growth. Journal of Applied Econometrics, 24, 1153–1185. Rappaport, J., (2007). Moving to nice weather. Regional Science and Urban Economics, Vol. 37(3): 375–398. Resende, M., (2004). Gibrat’s Law and the Growth of Cities in Brazil: A Panel Data Investigation. Urban Studies, Vol. 41(8): 1537–1549. Rozenfeld, H. D., D. Rybski, X. Gabaix, and H. A. Makse, (2011). The Area and Population of Cities: New Insights from a Different Perspective on Cities. American Economic Review, 101(5): 2205–2225. Said, S. E., and D. A. Dickey, (1984). Testing for Unit Roots in Autoregressive-Moving Average Models of Unknown Order. Biometrika, 71(3): 599–607. Sánchez-Vidal, M., R. González-Val, and E. Viladecans-Marsal, (2014). Sequential city growth in the US: Does age matter? Regional Science and Urban Economics, 44(1): 29–37. Sharma, S., (2003). Persistence and Stability in City Growth. Journal of Urban Economics 53: 300–320. Simon, H., (1955). On a class of skew distribution functions. Biometrika, 42: 425–440. Soo, K.T., (2007) Zipf's Law and Urban Growth in Malaysia. Urban Studies 44(1): 1–14 U.S. Census Bureau, (2004). 2000 Census of Population and Housing, Population and Housing Unit Counts PHC-3-1, United States Summary. Washington, DC. Available at: http://www.census.gov/prod/cen2000/phc3-us-pt1.pdf. Vining, D. R., (1976). Autocorrelated Growth Rates and the Pareto Law: A Further Analysis. The Journal of Political Economy, 84(2): 369–380. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/52539 |
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Patterns in U.S. urban growth (1790–2000). (deposited 20 May 2011 12:49)
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Patterns in U.S. urban growth (1790–2000). (deposited 27 Oct 2013 13:15)
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Patterns in U.S. urban growth (1790–2000). (deposited 27 Oct 2013 13:15)