González-Val, Rafael (2018): US city size distribution and space.
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Abstract
This paper focuses on the spatial city size distribution in the United States. We propose a new distance-based approach to analyse the influence of distance on the city size distribution parameter, by considering the Pareto distribution and using data from different definitions of US cities in 2010. Considering all possible combinations of cities within a 300-mile radius, our results indicate that the Pareto distribution cannot be rejected in most cases regardless of city size. Placebo regressions validate our results, thereby confirming the significant effect of geography on the Pareto exponent.
Item Type: | MPRA Paper |
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Original Title: | US city size distribution and space |
Language: | English |
Keywords: | space, city size distribution, distance-based approach, Pareto distribution, Zipf’s law |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C12 - Hypothesis Testing: General C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C14 - Semiparametric and Nonparametric Methods: General R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R11 - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R12 - Size and Spatial Distributions of Regional Economic Activity |
Item ID: | 91533 |
Depositing User: | Rafael González-Val |
Date Deposited: | 18 Jan 2019 14:17 |
Last Modified: | 27 Sep 2019 03:49 |
References: | Bak, P. 1996. How Nature Works: the Science of Self-organized Criticality. New York: Springer. Batty, M. 2006. “Cities and City Systems.” In: Hierarchy in Natural and Social Sciences, Methodos Series, Vol. 3, D. Pumain ed., Springer: Dordrecht, 143–168. Berry, B. J. L., and A. Okulicz-Kozaryn. 2012. “The city size distribution debate: Resolution for US urban regions and megalopolitan areas.” Cities 29: S17–S23. Clauset, A., C. R. Shalizi, and M. E. J. Newman. 2009. “Power-law distributions in empirical data.” SIAM Review 51(4): 661–703. Chen, Y. 2011. “Modeling Fractal Structure of City-Size Distributions Using Correlation Functions.” PLoS ONE 6(9): e24791. Chen, Y. 2016. “The evolution of Zipf’s law indicative of city development.” Physica A-Statistical Mechanics and its Applications 443: 555–567. Chen, Y., and Y. Zhou. 2008. “Scaling laws and indications of self-organized criticality in urban systems.” Chaos, Solitons & Fractals 35(1): 85–98. Cheshire, P. 1999. “Trends in sizes and structure of urban areas.” In: Handbook of Regional and Urban Economics, Vol. 3, edited by P. Cheshire and E. S. Mills, 1339–1373. Amsterdam: Elsevier Science. Cottineau, C. 2017. “MetaZipf. A dynamic meta-analysis of city size distributions.” PLOS ONE 12(8): e0183919. Dobkins, L. H., and Y. M. Ioannides. 2001. “Spatial interactions among US 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. Eeckhout, J. 2004. “Gibrat's Law for (All) Cities.” American Economic Review 94(5): 1429–1451. Fujita, M., P. Krugman, and T. Mori. 1999. “On the evolution of hierarchical urban systems.” European Economic Review 43: 209–251. Gabaix, X. 1999. “Zipf’s law for cities: An explanation.” Quarterly Journal of Economics 114(3): 739–767. Gabaix, X. 2009. “Power laws in economics and finance.” Annual Review of Economics 1: 255–294. Gabaix, X., and R. Ibragimov. 2011. “Rank-1/2: A simple way to improve the OLS estimation of tail exponents.” Journal of Business & Economic Statistics 29(1): 24–39. Gabaix, X., and Y. M. Ioannides. 2004. “The evolution of city size distributions.” In: Handbook of urban and regional economics, Vol. 4, J. V. Henderson and J. F. Thisse, eds. Amsterdam: Elsevier Science, 2341–2378. Garmestani, A. S., C. R. Allen, and K. M. Bessey. 2005. “Time-series Analysis of Clusters in City Size Distributions.” Urban Studies 42(9): 1507–1515. Garmestani, A. S., C. R. Allen, and C. M. Gallagher. 2008. “Power laws, discontinuities and regional city size distributions.” Journal of Economic Behavior & Organization 68: 209–216. Giesen, K., and J. Südekum. 2011. “Zipf's law for cities in the regions and the country.” Journal of Economic Geography, 11(4): 667–686. Giesen, K., and J. Südekum. 2014. “City Age and City Size.” European Economic Review 71: 193–208. 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. 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. 2012. “Zipf’s law: Main issues in empirical work.” Région et Développement n° 36-2012, 147–164. González-Val, R. 2017. “City Size Distribution and Space.” Working Papers 2017/18, Institut d'Economia de Barcelona (IEB). González-Val, R. 2018a. “The spatial distribution of US cities.” Cities, forthcoming. González-Val, R. 2018b. “Historical urban growth in Europe (1300–1800).” Papers in Regional Science, forthcoming. González-Val, R., A. Ramos, F. Sanz-Gracia, and M. Vera-Cabello. 2015. “Size distributions for all cities: which one is best?” Papers in Regional Science 94(1): 177–196. Hsu, W.-T. 2012. “Central place theory and city size distribution.” The Economic Journal 122: 903–932. Hsu, W.-T., T. Mori, and T. E. Smith. 2014. “Spatial patterns and size distributions of cities.” Discussion paper No. 882, Institute of Economic Research, Kyoto University. Ioannides, Y. M., and H. G. Overman. 2004. “Spatial evolution of the US urban system.” Journal of Economic Geography 4(2): 131–156. Ioannides, Y. M., and S. Skouras. 2013. “US city size distribution: Robustly Pareto, but only in the tail.” Journal of Urban Economics 73: 18–29. Krugman, P. 1996a. “Confronting the Mystery of Urban Hierarchy.” Journal of the Japanese and International Economies 10: 399–418. Krugman, P. 1996b. The Self-organizing economy. Cambridge: Blackwell. Lalanne, A. 2014. “Zipf's Law and Canadian Urban Growth.” Urban Studies 51(8): 1725–1740. Le Gallo, J., and C. Chasco. 2008. “Spatial analysis of urban growth in Spain, 1900-2001.” Empirical Economics 34: 59–80. Levy, M. 2009. “Gibrat’s Law for (all) Cities: A Comment.” American Economic Review 99(4): 1672–1675. Luckstead, J., and S. Devadoss. 2017. “Pareto tails and lognormal body of US cities size distribution.” Physica A: Statistical Mechanics and its Applications 465: 573–578. Malacarne, L. C., R. S. Mendes, and E. K. Lenzi. 2001. “Q-exponential distribution in urban agglomeration.” Physical Review E 65, 017106. Newman, M. E. J. 2006. “Power laws, Pareto distributions and Zipf’s law.” Contemporary Physics 46: 323–351. Nitsch, V. 2005. “Zipf zipped.” Journal of Urban Economics 57: 86–100. Pisarenko, V. F. 1998. “Non-linear Growth of Cumulative Flood Losses with Time.” Hydrological Processes 12(3): 461–470. Pumain, D. 2006. “Alternative Explanations of Hierarchical Differentiation in Urban Systems.” In: Hierarchy in Natural and Social Sciences, Methodos Series, Vol. 3, D. Pumain ed., Springer: Dordrecht, 169–222. Rauch, F. 2014. “Cities as spatial clusters.” Journal of Economic Geography 14(4): 759–773. Reed, W. J. 2001. “The Pareto, Zipf and other power laws.” Economics Letters 74: 15–19. Reed, W. J. 2002. “On the rank-size distribution for human settlements.” Journal of Regional Science 42(1): 1–17. Roberts, D. C., and D. L. Turcotte. 1998. “Fractality and Self-organized Criticality of Wars.” Fractals 6(4): 351–357. Rosen, K. T., and M. Resnick. 1980. “The Size Distribution of Cities: An Examination of the Pareto Law and Primacy.” Journal of Urban Economics 8: 165–186. Rossi-Hansberg, E., and M. L. J. Wright. 2007. “Urban structure and growth.” Review of Economic Studies 74: 597–624. Soo, K. T. 2005. “Zipf’s Law for cities: A cross-country investigation.” Regional Science and Urban Economics 35: 239–263. Soo, K. T. 2007. “Zipf's Law and Urban Growth in Malaysia.” Urban Studies 44(1): 1–14. Williams, G. P. 1997. Chaos Theory Tamed. Washington, D.C.: Joseph Henry Press. Zipf, G. 1949. Human Behaviour and the Principle of Least Effort. Cambridge, MA: Addison-Wesley. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/91533 |