An improvement over the normal distribution for log-growth rates of city sizes: Empirical evidence for France, Germany, Italy and Spain
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- Pierre‐Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2012.
"The Productivity Advantages of Large Cities: Distinguishing Agglomeration From Firm Selection,"
Econometrica, Econometric Society, vol. 80(6), pages 2543-2594, November.
- Pierre-Philippe COMBES & Gilles DURANTON & Laurent GOBILLON & Diego PUGA & Sébastien ROUX, 2009. "The Productivity Advantages of Large Cities : Distinguishing Agglomeration from Firm Selection," Working Papers 2009-08, Center for Research in Economics and Statistics.
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2012. "The productivity advantages of large cities: distingushing agglomeration from firm selection," Post-Print hal-00812695, HAL.
- Pierre Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2009. "The productivity advantages of large cities: Distinguishing agglomeration from firm selection," Working Papers 2009-02, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales, revised 30 Nov 2010.
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2012. "The productivity advantages of large cities: distingushing agglomeration from firm selection," PSE-Ecole d'économie de Paris (Postprint) hal-00812695, HAL.
- Pierre-Philippe Combes & Gilles Duranton & Diego Puga & Sebastien Roux, 2009. "The productivity advantages of large cities: Distinguishing agglomeration from firm selection," Working Papers tecipa-353, University of Toronto, Department of Economics.
- Duranton, Gilles & Combes, Pierre-Philippe & Puga, Diego & Gobillon, Laurent & Roux, Sébastien, 2009. "The productivity advantages of large cities: Distinguishing agglomeration from firm selection," CEPR Discussion Papers 7191, C.E.P.R. Discussion Papers.
- PierrePhilippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2009. "The Productivity Advantages of Large Cities: Distinguishing Agglomeration from Firm Selection," SERC Discussion Papers 0027, Centre for Economic Performance, LSE.
- Combes, Pierre-Philippe & Duranton, Gilles & Gobillon, Laurent & Puga, Diego & Roux, Sébastien, 2012. "The Productivity Advantages of Large Cities: Distinguishing Agglomeration from Firm Selection," IZA Discussion Papers 6502, Institute of Labor Economics (IZA).
- 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.
- 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.
- Giulio Bottazzi & Angelo Secchi, 2011.
"A new class of asymmetric exponential power densities with applications to economics and finance,"
Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 20(4), pages 991-1030, August.
- Giulio Bottazzi & Angelo Secchi, 2011. "A New Class of Asymmetric Exponential Power Densities with Applications to Economics and Finance," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00642696, HAL.
- Giulio Bottazzi & Angelo Secchi, 2011. "A New Class of Asymmetric Exponential Power Densities with Applications to Economics and Finance," Post-Print hal-00642696, HAL.
- Philippe Aghion & Steven Durlauf (ed.), 2014. "Handbook of Economic Growth," Handbook of Economic Growth, Elsevier, edition 1, volume 2, number 2.
- Ramos, Arturo & Sanz-Gracia, Fernando, 2015. "US city size distribution revisited: Theory and empirical evidence," MPRA Paper 64051, University Library of Munich, Germany.
- Glaeser, Edward L & Hedi D. Kallal & Jose A. Scheinkman & Andrei Shleifer, 1992.
"Growth in Cities,"
Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1126-1152, December.
- Edward L. Glaeser & Hedi D. Kallal & Jose A. Scheinkman & Andrei Shleifer, 1991. "Growth in Cities," NBER Working Papers 3787, National Bureau of Economic Research, Inc.
- Glaeser, Edward Ludwig & Kallal, Hedi D. & Scheinkman, Jose A. & Shleifer, Andrei, 1992. "Growth in Cities," Scholarly Articles 3451309, Harvard University Department of Economics.
- McDonald, James B. & Xu, Yexiao J., 1995.
"A generalization of the beta distribution with applications,"
Journal of Econometrics, Elsevier, vol. 69(2), pages 427-428, October.
- McDonald, James B. & Xu, Yexiao J., 1995. "A generalization of the beta distribution with applications," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 133-152.
- Rafael Gonz�lez-Val & Arturo Ramos & Fernando Sanz-Gracia, 2013.
"The accuracy of graphs to describe size distributions,"
Applied Economics Letters, Taylor & Francis Journals, vol. 20(17), pages 1580-1585, November.
- González-Val, Rafael & Ramos, Arturo & Sanz-Gracia, Fernando, 2013. "The accuracy of graphs to describe size distributions," MPRA Paper 48577, University Library of Munich, Germany.
- B. D. McCullough & H. D. Vinod, 2003. "Verifying the Solution from a Nonlinear Solver: A Case Study," American Economic Review, American Economic Association, vol. 93(3), pages 873-892, June.
- Pierre‐Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2012.
"The Productivity Advantages of Large Cities: Distinguishing Agglomeration From Firm Selection,"
Econometrica, Econometric Society, vol. 80(6), pages 2543-2594, November.
- Duranton, Gilles & Combes, Pierre-Philippe & Puga, Diego & Gobillon, Laurent & Roux, Sébastien, 2009. "The productivity advantages of large cities: Distinguishing agglomeration from firm selection," CEPR Discussion Papers 7191, C.E.P.R. Discussion Papers.
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2012. "The productivity advantages of large cities: distingushing agglomeration from firm selection," PSE - Labex "OSE-Ouvrir la Science Economique" hal-00812695, HAL.
- PierrePhilippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2009. "The Productivity Advantages of Large Cities: Distinguishing Agglomeration from Firm Selection," SERC Discussion Papers 0027, Centre for Economic Performance, LSE.
- Pierre Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2009. "The productivity advantages of large cities: Distinguishing agglomeration from firm selection," Working Papers 2009-02, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales, revised 30 Nov 2010.
- Pierre-Philippe COMBES & Gilles DURANTON & Laurent GOBILLON & Diego PUGA & Sébastien ROUX, 2009. "The Productivity Advantages of Large Cities : Distinguishing Agglomeration from Firm Selection," Working Papers 2009-08, Center for Research in Economics and Statistics.
- Combes, Pierre-Philippe & Duranton, Gilles & Gobillon, Laurent & Puga, Diego & Roux, Sébastien, 2012. "The Productivity Advantages of Large Cities: Distinguishing Agglomeration from Firm Selection," IZA Discussion Papers 6502, Institute of Labor Economics (IZA).
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2012. "The productivity advantages of large cities: distingushing agglomeration from firm selection," PSE-Ecole d'économie de Paris (Postprint) hal-00812695, HAL.
- Pierre-Philippe Combes & Gilles Duranton & Diego Puga & Sebastien Roux, 2009. "The productivity advantages of large cities: Distinguishing agglomeration from firm selection," Working Papers tecipa-353, University of Toronto, Department of Economics.
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2012. "The productivity advantages of large cities: distingushing agglomeration from firm selection," Post-Print hal-00812695, HAL.
- Edward L. Glaeser & Charles Redlick, 2009. "Social Capital and Urban Growth," International Regional Science Review, , vol. 32(3), pages 264-299, July.
- Christian Schluter & Mark Trede, 2013. "Gibrat, Zipf, Fisher and Tippett: City Size and Growth Distributions Reconsidered," CQE Working Papers 2713, Center for Quantitative Economics (CQE), University of Muenster.
- Edward L. Glaeser & Joseph Gyourko & Raven E. Saks, 2006.
"Urban growth and housing supply,"
Journal of Economic Geography, Oxford University Press, vol. 6(1), pages 71-89, January.
- Edward L. Glaeser & Joseph Gyourko & Raven E. Saks, 2005. "Urban Growth and Housing Supply," Harvard Institute of Economic Research Working Papers 2062, Harvard - Institute of Economic Research.
- Edward L. Glaeser & Joseph Gyourko & Raven E. Saks, 2005. "Urban Growth and Housing Supply," NBER Working Papers 11097, National Bureau of Economic Research, Inc.
- Duranton, Gilles & Puga, Diego, 2014.
"The Growth of Cities,"
Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 5, pages 781-853,
Elsevier.
- Gilles Duranton, 2013. "The Growth of U.S. Cities," Revue d'économie régionale et urbaine, Armand Colin, vol. 0(5), pages 857-876.
- Gilles Duranton & Diego Puga, 2013. "The Growth of Cities," Working Papers wp2013_1308, CEMFI.
- Duranton, Gilles & Puga, Diego, 2013. "The growth of cities," CEPR Discussion Papers 9590, C.E.P.R. Discussion Papers.
- James B. McDonald, 2008.
"Some Generalized Functions for the Size Distribution of Income,"
Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 3, pages 37-55,
Springer.
- McDonald, James B, 1984. "Some Generalized Functions for the Size Distribution of Income," Econometrica, Econometric Society, vol. 52(3), pages 647-663, May.
- 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.
- Ole Eiler Barndorff‐Nielsen & Robert Stelzer, 2005. "Absolute Moments of Generalized Hyperbolic Distributions and Approximate Scaling of Normal Inverse Gaussian Lévy Processes," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 32(4), pages 617-637, December.
- Manas, Arnaud, 2009. "French butchers don't do quantum physics," Economics Letters, Elsevier, vol. 103(2), pages 101-106, May.
- Gaffeo, Edoardo, 2011. "The distribution of sectoral TFP growth rates: International evidence," Economics Letters, Elsevier, vol. 113(3), pages 252-255.
- Bottazzi, Giulio & Secchi, Angelo, 2003. "Why are distributions of firm growth rates tent-shaped?," Economics Letters, Elsevier, vol. 80(3), pages 415-420, September.
- Edward L Glaeser & Jesse M Shapiro, 2003. "Urban Growth in the 1990s: Is City Living Back?," Journal of Regional Science, Wiley Blackwell, vol. 43(1), pages 139-165, February.
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.- 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.
- 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.
- Ramos, Arturo & Sanz-Gracia, Fernando, 2015. "US city size distribution revisited: Theory and empirical evidence," MPRA Paper 64051, University Library of Munich, Germany.
- 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.
- Duranton, Gilles & Puga, Diego, 2014.
"The Growth of Cities,"
Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 5, pages 781-853,
Elsevier.
- Gilles Duranton, 2013. "The Growth of U.S. Cities," Revue d'économie régionale et urbaine, Armand Colin, vol. 0(5), pages 857-876.
- Gilles Duranton & Diego Puga, 2013. "The Growth of Cities," Working Papers wp2013_1308, CEMFI.
- Duranton, Gilles & Puga, Diego, 2013. "The growth of cities," CEPR Discussion Papers 9590, C.E.P.R. Discussion Papers.
- 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.
- 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.
- 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.
- Stef Proost & Jacques-François Thisse, 2019.
"What Can Be Learned from Spatial Economics?,"
Journal of Economic Literature, American Economic Association, vol. 57(3), pages 575-643, September.
- Stef Proost & Jacques-Francois Thisse, 2017. "What Can Be Learned from Spatial Economics?," HSE Working papers WP BRP 167/EC/2017, National Research University Higher School of Economics.
- Proost, Stef & Thisse, Jacques-François, 2019. "What can be learned from spatial economics?," LIDAM Reprints CORE 3089, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Ramos, Arturo, 2015. "Log-growth distributions of US city sizes and non-Lévy processes," MPRA Paper 66561, University Library of Munich, Germany.
- Arturo Ramos & Till Massing & Atushi Ishikawa & Shouji Fujimoto & Takayuki Mizuno, 2023. "Composite distributions in the social sciences: A comparative empirical study of firms' sales distribution for France, Germany, Italy, Japan, South Korea, and Spain," Papers 2301.09438, arXiv.org.
- Rafael González-Val, 2011. "What makes cities bigger and richer? New Evidence from 1990–2000 in the US," ERSA conference papers ersa11p325, European Regional Science Association.
- Martin, Philippe & Mayer, Thierry & Mayneris, Florian, 2011.
"Spatial concentration and plant-level productivity in France,"
Journal of Urban Economics, Elsevier, vol. 69(2), pages 182-195, March.
- Philippe Martin & Thierry Mayer & Florian Mayneris, 2008. "Spatial Concentration and Firm-Level Productivity in France," Sciences Po publications 6858, Sciences Po.
- Philippe Martin & Thierry Mayer & Florian Mayneris, 2011. "Spatial concentration and plant-level productivity in france," Post-Print hal-01071849, HAL.
- MARTIN, Philippe & MAYER, Thierry & MAYNERIS, Florian, 2011. "Spatial concentration and plant-level productivity in France," LIDAM Reprints CORE 2273, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Philippe Martin & Thierry Mayer & Florian Mayneris, 2011. "Spatial concentration and plant-level productivity in france," Sciences Po publications info:hdl:2441/c8dmi8nm4pd, Sciences Po.
- Philippe Martin & Thierry Mayer & Florian Mayneris, 2008. "Spatial Concentration and Firm-Level Productivity in France," Working Papers hal-01066174, HAL.
- Martin, Philippe & Mayer, Thierry & Mayneris, Florian, 2008. "Spatial Concentration and Firm-Level Productivity in France," CEPR Discussion Papers 6858, C.E.P.R. Discussion Papers.
- Philippe Martin & Thierry Mayer & Florian Mayneris, 2008. "Spatial Concentration and Firm-Level Productivity in France," SciencePo Working papers Main hal-01066174, HAL.
- Hajargasht, Gholamreza & Griffiths, William E., 2013. "Pareto–lognormal distributions: Inequality, poverty, and estimation from grouped income data," Economic Modelling, Elsevier, vol. 33(C), pages 593-604.
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2012.
"The Cost of Agglomeration: Land Prices in Cities,"
Sciences Po publications
9240, Sciences Po.
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2018. "The cost of agglomeration: Land prices in cities," Sciences Po publications info:hdl:2441/6bmhhi42888, Sciences Po.
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2019. "The Cost of Agglomeration: Land Prices in Cities," SciencePo Working papers Main halshs-01938356, HAL.
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2012. "The Cost of Agglomeration: Land Prices in Cities," Working Papers hal-03461075, HAL.
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2019. "The Cost of Agglomeration: Land Prices in Cities," PSE-Ecole d'économie de Paris (Postprint) halshs-01938356, HAL.
- Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2019. "The Cost of Agglomeration: Land Prices in Cities," Post-Print halshs-01938356, HAL.
- Carlino, Gerald & Kerr, William R., 2015.
"Agglomeration and Innovation,"
Handbook of Regional and Urban Economics, in: Gilles Duranton & J. V. Henderson & William C. Strange (ed.), Handbook of Regional and Urban Economics, edition 1, volume 5, chapter 0, pages 349-404,
Elsevier.
- Gerald Carlino & William R. Kerr, 2014. "Agglomeration and Innovation," Harvard Business School Working Papers 15-007, Harvard Business School.
- Carlino, Gerald & Kerr, William R., 2015. "Agglomeration and innovation," Bank of Finland Research Discussion Papers 27/2015, Bank of Finland.
- Gerald Carlino & William R. Kerr, 2014. "Agglomeration and Innovation," NBER Working Papers 20367, National Bureau of Economic Research, Inc.
- Gerald A. Carlino & William R. Kerr, 2014. "Agglomeration and innovation," Working Papers 14-26, Federal Reserve Bank of Philadelphia.
- Marc Brunetto & Nadine Levratto, 2017. "Analysis of the job creation process in metropolitan areas: A spatial perspective," EconomiX Working Papers 2017-36, University of Paris Nanterre, EconomiX.
- Koh, Hyun-Ju & Riedel, Nadine & Böhm, Tobias, 2013.
"Do governments tax agglomeration rents?,"
Journal of Urban Economics, Elsevier, vol. 75(C), pages 92-106.
- Hyun-Ju Koh & Nadine Riedel, 2010. "Do Governments Tax Agglomeration Rents?," CESifo Working Paper Series 2976, CESifo.
- Hyun-Ju Koh & Nadine Riedel, 2010. "Do Governments Tax Agglomeration Rents?," Working Papers 1004, Oxford University Centre for Business Taxation.
- Rizov, Marian & Oskam, Arie & Walsh, Paul, 2012.
"Is there a limit to agglomeration? Evidence from productivity of Dutch firms,"
Regional Science and Urban Economics, Elsevier, vol. 42(4), pages 595-606.
- Marian Rizov, 2011. "Is there a limit to agglomeration? Evidence from productivity of Dutch firms," ERSA conference papers ersa11p231, European Regional Science Association.
- Edilberto Tiago Almeida & Raul Mota Silveira Neto & Jaime Macedo Brito Bastos & Rubens Lopes Pereira Silva, 2021. "Location patterns of service activities in large metropolitan areas: the Case of São Paulo," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 67(2), pages 451-481, October.
More about this item
Keywords
urban log-growth rates distribution; exponential distribution; normal distribution; European population log-growth rates;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-GRO-2015-11-01 (Economic Growth)
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:67471. 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.