Have the log-population processes stationary and independent increments? Empirical evidence for Italy, Spain and the USA along more than a century
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
- Hernán D. Rozenfeld & Diego Rybski & Xavier Gabaix & Hernán A. Makse, 2011.
"The Area and Population of Cities: New Insights from a Different Perspective on Cities,"
American Economic Review, American Economic Association, vol. 101(5), pages 2205-2225, August.
- Hernán D. Rozenfeld & Diego Rybski & Xavier Gabaix & Hernán A. Makse, 2009. "The Area and Population of Cities: New Insights from a Different Perspective on Cities," NBER Working Papers 15409, National Bureau of Economic Research, Inc.
- Miguel Puente-Ajovín & Arturo Ramos, 2015.
"On the parametric description of the French, German, Italian and Spanish city size distributions,"
The Annals of Regional Science, Springer;Western Regional Science Association, vol. 54(2), pages 489-509, March.
- Puente-Ajovin, Miguel & Ramos, Arturo, 2014. "On the parametric description of the French, German, Italian and Spanish city size distributions," MPRA Paper 55285, University Library of Munich, Germany.
- Luckstead, Jeff & Devadoss, Stephen, 2017. "Pareto tails and lognormal body of US cities size distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 573-578.
- Kwong, Hok Shing & Nadarajah, Saralees, 2019. "A note on “Pareto tails and lognormal body of US cities size distribution”," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 55-62.
- Xavier Gabaix, 2009.
"Power Laws in Economics and Finance,"
Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
- Xavier Gabaix, 2008. "Power Laws in Economics and Finance," NBER Working Papers 14299, National Bureau of Economic Research, Inc.
- 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.
- William J. Reed, 2002. "On the Rank‐Size Distribution for Human Settlements," Journal of Regional Science, Wiley Blackwell, vol. 42(1), pages 1-17, February.
- Rafael González-Val & Arturo Ramos & Fernando Sanz-Gracia & María Vera-Cabello, 2015.
"Size distributions for all cities: Which one is best?,"
Papers in Regional Science, Wiley Blackwell, vol. 94(1), pages 177-196, March.
- González-Val, Rafael & Ramos, Arturo & Sanz, Fernando & Vera-Cabello, María, 2013. "Size Distributions for All Cities: Which One is Best?," MPRA Paper 44314, University Library of Munich, Germany.
- Singh, S K & Maddala, G S, 1976. "A Function for Size Distribution of Incomes," Econometrica, Econometric Society, vol. 44(5), pages 963-970, September.
- Rafael González-Val & Luis Lanaspa & Fernando Sanz-Gracia, 2014. "New Evidence on Gibrat’s Law for Cities," Urban Studies, Urban Studies Journal Limited, vol. 51(1), pages 93-115, January.
- L. A. N. Amaral & S. V. Buldyrev & S. Havlin & H. Leschhorn & P. Maass & M. A. Salinger & H. E. Stanley & M. H. R. Stanley, 1997. "Scaling behavior in economics: I. Empirical results for company growth," Papers cond-mat/9702082, arXiv.org.
- Jan Eeckhout, 2009. "Gibrat's Law for (All) Cities: Reply," American Economic Review, American Economic Association, vol. 99(4), pages 1676-1683, September.
- González-Val, Rafael & Lanaspa, Luis & Sanz-Gracia, Fernando, 2013.
"Gibrat’s law for cities, growth regressions and sample size,"
Economics Letters, Elsevier, vol. 118(2), pages 367-369.
- González-Val, Rafael & Lanaspa, Luis & Sanz, Fernando, 2012. "Gibrat’s law for cities, growth regressions and sample size," MPRA Paper 42615, University Library of Munich, Germany.
- Gatti, Domenico Delli & Guilmi, Corrado Di & Gaffeo, Edoardo & Giulioni, Gianfranco & Gallegati, Mauro & Palestrini, Antonio, 2005. "A new approach to business fluctuations: heterogeneous interacting agents, scaling laws and financial fragility," Journal of Economic Behavior & Organization, Elsevier, vol. 56(4), pages 489-512, April.
- Arturo Ramos, 2017. "Are the log-growth rates of city sizes distributed normally? Empirical evidence for the USA," Empirical Economics, Springer, vol. 53(3), pages 1109-1123, November.
- Giesen, Kristian & Suedekum, Jens, 2014.
"City age and city size,"
European Economic Review, Elsevier, vol. 71(C), pages 193-208.
- Südekum, Jens & Giesen, Kristian, 2013. "City Age and City Size," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79996, Verein für Socialpolitik / German Economic Association.
- Giesen, Kristian & Suedekum, Jens, 2013. "City age and city size," DICE Discussion Papers 120, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
- Luckstead, Jeff & Devadoss, Stephen & Danforth, Diana, 2017. "The size distributions of all Indian cities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 237-249.
- Rafael González‐Val, 2010. "The Evolution Of U.S. City Size Distribution From A Long‐Term Perspective (1900–2000)," Journal of Regional Science, Wiley Blackwell, vol. 50(5), pages 952-972, December.
- Kristian GIESEN & Jens SÜDEKUM, 2012. "The French Overall City Size Distribution," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 107-126.
- Ioannides, Yannis & Skouras, Spyros, 2013. "US city size distribution: Robustly Pareto, but only in the tail," Journal of Urban Economics, Elsevier, vol. 73(1), pages 18-29.
- Reed, William J., 2003. "The Pareto law of incomes—an explanation and an extension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 469-486.
- Moshe Levy, 2009. "Gibrat's Law for (All) Cities: Comment," American Economic Review, American Economic Association, vol. 99(4), pages 1672-1675, September.
- Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
- Toda, Alexis Akira, 2012. "The double power law in income distribution: Explanations and evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 84(1), pages 364-381.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Ramos, Arturo, 2015. "Log-growth distributions of US city sizes and non-Lévy processes," MPRA Paper 66561, University Library of Munich, Germany.
- Ramos, Arturo & Sanz-Gracia, Fernando & González-Val, Rafael, 2013.
"A new framework for the US city size distribution: Empirical evidence and theory,"
MPRA Paper
52190, University Library of Munich, Germany.
- Rafael González-Val & Arturo Ramos & Fernando Sanz-Gracia, 2014. "A new framework for US city size distribution: Empirical evidence and theory," ERSA conference papers ersa14p633, European Regional Science Association.
- Ramos, Arturo & Sanz-Gracia, Fernando, 2015. "US city size distribution revisited: Theory and empirical evidence," MPRA Paper 64051, University Library of Munich, Germany.
- Gualandi, Stefano & Toscani, Giuseppe, 2019. "Size distribution of cities: A kinetic explanation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 221-234.
- Arturo Ramos, 2017. "Are the log-growth rates of city sizes distributed normally? Empirical evidence for the USA," Empirical Economics, Springer, vol. 53(3), pages 1109-1123, November.
- Rafael González-Val, 2019.
"US city-size distribution and space,"
Spatial Economic Analysis, Taylor & Francis Journals, vol. 14(3), pages 283-300, July.
- Rafael González-Val, 2017. "City size distribution and space," Working Papers 2017/18, Institut d'Economia de Barcelona (IEB).
- González-Val, Rafael, 2018. "US city size distribution and space," MPRA Paper 91533, University Library of Munich, Germany.
- Băncescu, Irina & Chivu, Luminiţa & Massing, Till & Preda, Vasile & Puente-Ajovín, Miguel & Ramos, Arturo, 2024. "On the parametric description of log-growth rates of Romanian city sizes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
- Miguel Puente-Ajovín & Arturo Ramos, 2015.
"On the parametric description of the French, German, Italian and Spanish city size distributions,"
The Annals of Regional Science, Springer;Western Regional Science Association, vol. 54(2), pages 489-509, March.
- Puente-Ajovin, Miguel & Ramos, Arturo, 2014. "On the parametric description of the French, German, Italian and Spanish city size distributions," MPRA Paper 55285, University Library of Munich, Germany.
- Luckstead, Jeff & Devadoss, Stephen & Danforth, Diana, 2017. "The size distributions of all Indian cities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 237-249.
- Kristian Giesen & Jens Suedekum, 2012.
"The Size Distribution Across All 'Cities': A Unifying Approach,"
SERC Discussion Papers
0122, Centre for Economic Performance, LSE.
- Kristian Giesen & Jens Suedekum, 2012. "The Size Distribution across all "Cities": A Unifying Approach," CESifo Working Paper Series 3730, CESifo.
- Giesen, Kristian & Suedekum, Jens, 2012. "The Size Distribution Across All “Cities”: A Unifying Approach," IZA Discussion Papers 6352, Institute of Labor Economics (IZA).
- Kristian Giesen & Jens Suedekum, 2012. "The size distribution across all 'cities': A unifying approach," ERSA conference papers ersa12p106, European Regional Science Association.
- Giesen, Kristian & Suedekum, Jens, 2012. "The size distribution across all "Cities": a unifying approach," LSE Research Online Documents on Economics 59252, London School of Economics and Political Science, LSE Library.
- Kristian Giesen & Jens Suedekum, 2012. "The size distribution across all “cities”: a unifying approach," Working Papers 2012/2, Institut d'Economia de Barcelona (IEB).
- Giesen, Kristian & Suedekum, Jens, 2014.
"City age and city size,"
European Economic Review, Elsevier, vol. 71(C), pages 193-208.
- Südekum, Jens & Giesen, Kristian, 2013. "City Age and City Size," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79996, Verein für Socialpolitik / German Economic Association.
- Giesen, Kristian & Suedekum, Jens, 2013. "City age and city size," DICE Discussion Papers 120, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
- Massing, Till & Puente-Ajovín, Miguel & Ramos, Arturo, 2020.
"On the parametric description of log-growth rates of cities’ sizes of four European countries and the USA,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
- Till Massing & Miguel Puente-Ajov'in & Arturo Ramos, 2023. "On the parametric description of log-growth rates of cities' sizes of four European countries and the USA," Papers 2308.10034, arXiv.org.
- Rafael González‐Val, 2019.
"Historical urban growth in Europe (1300–1800),"
Papers in Regional Science, Wiley Blackwell, vol. 98(2), pages 1115-1136, April.
- Rafael González-Val, 2016. "Historical urban growth in Europe (1300–1800)," Working Papers 2016/8, Institut d'Economia de Barcelona (IEB).
- Rafael, González-Val, 2017. "Historical urban growth in Europe (1300–1800)," MPRA Paper 80475, University Library of Munich, Germany.
- Miguel Puente-Ajovín & Arturo Ramos & Fernando Sanz-Gracia, 2020.
"Is there a universal parametric city size distribution? Empirical evidence for 70 countries,"
The Annals of Regional Science, Springer;Western Regional Science Association, vol. 65(3), pages 727-741, December.
- Miguel Puente-Ajov'in & Arturo Ramos & Fernando Sanz-Gracia, 2023. "Is there a universal parametric city size distribution? Empirical evidence for 70 countries," Papers 2308.10018, arXiv.org.
- Ramos, Arturo, 2015. "Are the log-growth rates of city sizes normally distributed? Empirical evidence for the US," MPRA Paper 65584, University Library of Munich, Germany.
- Ruben Dewitte & Michel Dumont & Glenn Rayp & Peter Willemé, 2022.
"Unobserved heterogeneity in the productivity distribution and gains from trade,"
Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 55(3), pages 1566-1597, August.
- Dewitte, Ruben & Dumont, Michel & Rayp, Glenn & Willemé, Peter, 2020. "Unobserved Heterogeneity in the Productivity Distribution and Gains From Trade," MPRA Paper 102711, University Library of Munich, Germany.
- Arshad, Sidra & Hu, Shougeng & Ashraf, Badar Nadeem, 2019. "Zipf’s law, the coherence of the urban system and city size distribution: Evidence from Pakistan," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 87-103.
- Akhundjanov, Sherzod B. & Devadoss, Stephen & Luckstead, Jeff, 2017. "Size distribution of national CO2 emissions," Energy Economics, Elsevier, vol. 66(C), pages 182-193.
- Daniel Broxterman & Anthony Yezer, 2021. "Human capital divergence and the size distribution of cities: Is Gibrat’s law obsolete?," Urban Studies, Urban Studies Journal Limited, vol. 58(12), pages 2549-2568, September.
- Rafael González-Val & Luis Lanaspa & Fernando Sanz-Gracia, 2014. "New Evidence on Gibrat’s Law for Cities," Urban Studies, Urban Studies Journal Limited, vol. 51(1), pages 93-115, January.
More about this item
Keywords
Gibrat’s process; log-population process; stationary increments; independent increments; Italian cities; Spanish cities; USA cities;All these keywords.
JEL classification:
- C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
- 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)
NEP fields
This paper has been announced in the following NEP Reports:- NEP-EUR-2019-05-06 (Microeconomic European Issues)
- NEP-HIS-2019-05-06 (Business, Economic and Financial History)
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:93562. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.