Size Distributions for All Cities: Lognormal and q-exponential functions
This 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. The empirical evidence relies on the analysis of urban data of three countries (USA, Spain and Italy) over all of the 20th century.
|Date of creation:||Sep 2011|
|Date of revision:|
|Contact details of provider:|| Postal: |
Web page: http://www.ersa.org
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Guy Michaels & Ferdinand Rauch & Stephen J. Redding, 2012.
"Urbanization and Structural Transformation,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 127(2), pages 535-586.
- Guy Michaels & Ferdinand Rauch & Stephen Redding, 2008. "Urbanisation and structural transformation," LSE Research Online Documents on Economics 25495, London School of Economics and Political Science, LSE Library.
- Michaels, Guy & Rauch, Ferdinand & Redding, Stephen J., 2008. "Urbanization and Structural Transformation," CEPR Discussion Papers 7016, C.E.P.R. Discussion Papers.
- Guy Michaels & Ferdinand Rauch & Stephen Redding, 2008. "Urbanisation and Structural Transformation," CEP Discussion Papers dp0892, Centre for Economic Performance, LSE.
- Paul Cheshire & Stefano Magrini, 2005.
"Population Growth in European Cities: weather matters – but only nationally,"
- Paul Cheshire & Stefano Magrini, 2006. "Population growth in European cities: Weather matters - but only nationally," Regional Studies, Taylor & Francis Journals, vol. 40(1), pages 23-37.
- Paul Cheshire & Stefano Magrini, 2005. "Population Growth in European Cities - Weather Matters, but only Nationally," ERSA conference papers ersa05p12, European Regional Science Association.
- Hsing, Yu, 1990. "A note on functional forms and the urban size distribution," Journal of Urban Economics, Elsevier, vol. 27(1), pages 73-79, January.
- Gabaix, Xavier & Ioannides, Yannis M., 2004.
"The evolution of city size distributions,"
Handbook of Regional and Urban Economics,
in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 53, pages 2341-2378
- 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.
- 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.
- Giesen, Kristian & Zimmermann, Arndt & Suedekum, Jens, 2010. "The size distribution across all cities - Double Pareto lognormal strikes," Journal of Urban Economics, Elsevier, vol. 68(2), pages 129-137, September.
- Maarten Bosker & Steven Brakman & Harry Garretsen & Marc Schramm, 2006.
"A Century of Shocks: The Evolution of the German City Size Distribution 1925 – 1999,"
CESifo Working Paper Series
1728, CESifo Group Munich.
- Bosker, Maarten & Brakman, Steven & Garretsen, Harry & Schramm, Marc, 2008. "A century of shocks: The evolution of the German city size distribution 1925-1999," Regional Science and Urban Economics, Elsevier, vol. 38(4), pages 330-347, July.
- Kamecke, Ulrich, 1990. "Testing the rank size rule hypothesis with an efficient estimator," Journal of Urban Economics, Elsevier, vol. 27(2), pages 222-231, March.
- Xavier Gabaix, 1999. "Zipf'S Law For Cities: An Explanation," The Quarterly Journal of Economics, MIT Press, vol. 114(3), pages 739-767, August.
When requesting a correction, please mention this item's handle: RePEc:wiw:wiwrsa:ersa11p554. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Gunther Maier)
If references are entirely missing, you can add them using this form.