On the best functions to describe city size distributions
AbstractThis paper analyses in detail the features offered by a function which is practically new to Urban Economics, the q-exponential, in describing city size distributions. We highlight two contributions. First, we propose a new and simple procedure for estimating their parameters. Second, and more importantly, we explain the characteristics associated with two traditional graphic methods (Zipf plots and cumulative density functions) for discriminating between functions. We apply them to the lognormal and q-exponential, justifying them as the best functions for explaining the entire distribution, and that the relationship between them is of complementarity.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 21921.
Date of creation: 07 Apr 2010
Date of revision:
city size distribution; q-exponential; lognormal;
Find related papers by JEL classification:
- C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-04-17 (All new papers)
- NEP-GEO-2010-04-17 (Economic Geography)
- NEP-URE-2010-04-17 (Urban & Real Estate Economics)
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- 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.
- Kwok Tong Soo, 2004.
"Zipf's law for cities: a cross country investigation,"
LSE Research Online Documents on Economics
19947, London School of Economics and Political Science, LSE Library.
- 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.
- Kwok Tong Soo, 2004. "Zipfs Law for Cities: A Cross Country Investigation," CEP Discussion Papers dp0641, Centre for Economic Performance, LSE.
- Yannis M. Ioannides & Spyros Skouras, 2009. "Gibrat's Law for (All) Cities: A Rejoinder," Discussion Papers Series, Department of Economics, Tufts University 0740, Department of Economics, Tufts University.
- Paul Cheshire & Stefano Magrini, 2006.
"Population growth in European cities: Weather matters - but only nationally,"
Taylor & Francis Journals, vol. 40(1), pages 23-37.
- Paul Cheshire & Stefano Magrini, 2005. "Population Growth in European Cities: weather matters – but only nationally," Urban/Regional 0506009, EconWPA.
- Paul Cheshire & Stefano Magrini, 2005. "Population Growth in European Cities - Weather Matters, but only Nationally," ERSA conference papers ersa05p12, European Regional Science Association.
- Xavier Gabaix & Yannis M. Ioannides, 2003.
"The Evolution of City Size Distributions,"
Discussion Papers Series, Department of Economics, Tufts University
0310, Department of Economics, Tufts University.
- Sharma, Shalini, 2003. "Persistence and stability in city growth," Journal of Urban Economics, Elsevier, vol. 53(2), pages 300-320, March.
- Duncan Black & Vernon Henderson, 2003. "Urban evolution in the USA," Journal of Economic Geography, Oxford University Press, vol. 3(4), pages 343-372, October.
- Y Ioannides & Henry Overman, 2000.
"Zipfs Law for Cities: An Empirical Examination,"
CEP Discussion Papers
dp0484, Centre for Economic Performance, LSE.
- Henry G. Overman & Yannis Ioannides, 2000. "Zipf's law for cities: an empirical examination," LSE Research Online Documents on Economics 20136, London School of Economics and Political Science, LSE Library.
- Yannis Menelaos Ioannides & Henry G. Overman, 2003. "Zipf’s law for cities : an empirical examination," LSE Research Online Documents on Economics 583, London School of Economics and Political Science, LSE Library.
- William J. Reed, 2002. "On the Rank-Size Distribution for Human Settlements," Journal of Regional Science, Wiley Blackwell, vol. 42(1), pages 1-17.
- Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
- Jan Eeckhout, 2009. "Gibrat's Law for (All) Cities: Reply," American Economic Review, American Economic Association, vol. 99(4), pages 1676-83, September.
- Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August.
- Cheshire, Paul, 1999. "Trends in sizes and structures of urban areas," Handbook of Regional and Urban Economics, in: P. C. Cheshire & E. S. Mills (ed.), Handbook of Regional and Urban Economics, edition 1, volume 3, chapter 35, pages 1339-1373 Elsevier.
- Krugman, Paul, 1996. "Confronting the Mystery of Urban Hierarchy," Journal of the Japanese and International Economies, Elsevier, vol. 10(4), pages 399-418, December.
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