IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

A Model of Sequential City Growth

  • Cuberes, David

There is strong evidence showing that in most countries cities develop sequentially, with the initially largest cities being the first to grow. This paper presents a growth model of optimal city size that rationalizes this growth pattern. Increasing returns to scale is the force that favors agglomeration of resources in a city, and convex costs associated with the stock of installed capital represent the congestion force that limits city size. The key to generate sequential growth is the assumption of irreversible investment in physical capital. The presence of a positive external effect of aggregate city capital on individual firms makes the competitive equilibrium inefficient.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: https://mpra.ub.uni-muenchen.de/8431/1/MPRA_paper_8431.pdf
File Function: original version
Download Restriction: no

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 8431.

as
in new window

Length:
Date of creation: 16 Feb 2008
Handle: RePEc:pra:mprapa:8431
Contact details of provider: Postal:
Ludwigstraße 33, D-80539 Munich, Germany

Phone: +49-(0)89-2180-2459
Fax: +49-(0)89-2180-992459
Web page: https://mpra.ub.uni-muenchen.de

More information through EDIRC

References listed on IDEAS
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.:

as in new window
  1. Gilles Duranton, 2002. "City Size Distributions As A Consequence of the Growth Process," CEP Discussion Papers dp0550, Centre for Economic Performance, LSE.
  2. Kanemoto, Yoshitsugu, 1980. "Theories of urban externalities," MPRA Paper 24614, University Library of Munich, Germany.
  3. Ioannides, Yannis M. & Overman, Henry G., 2003. "Zipf's law for cities: an empirical examination," Regional Science and Urban Economics, Elsevier, vol. 33(2), pages 127-137, March.
  4. Abdel-Rahman, Hesham M., 1990. "Agglomeration economies, types, and sizes of cities," Journal of Urban Economics, Elsevier, vol. 27(1), pages 25-45, January.
  5. Fujita, Masahisa, 1976. "Spatial patterns of urban growth: Optimum and market," Journal of Urban Economics, Elsevier, vol. 3(3), pages 209-241, July.
  6. Esteban Rossi-Hansberg & Mark L. J. Wright, 2006. "Urban structure and growth," Staff Report 381, Federal Reserve Bank of Minneapolis.
  7. Donald R. Davis & David E. Weinstein, 2001. "Bones, Bombs and Break Points: The Geography of Economic Activity," NBER Working Papers 8517, National Bureau of Economic Research, Inc.
  8. Robert Axtell and Richard Florida, 2001. "Emergent Cities: A Microeconomic Explanation for Zipf's Law," Computing in Economics and Finance 2001 154, Society for Computational Economics.
  9. Cuberes, David, 2011. "Sequential city growth: Empirical evidence," Journal of Urban Economics, Elsevier, vol. 69(2), pages 229-239, March.
  10. Marcus Berliant & Hideo Konishi, 2000. "The Endogenous Formation of a City: Population Agglomeration and Marketplaces in a Location-Specific Production Economy," Boston College Working Papers in Economics 451, Boston College Department of Economics.
  11. 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 Elsevier.
  12. Kiminori Matsuyama, 1991. "Increasing Returns, Industrialization, and Indeterminacy of Equilibrium," The Quarterly Journal of Economics, Oxford University Press, vol. 106(2), pages 617-650.
  13. Berliant, Marcus & Wang, Ping, 1993. "Endogenous formation of a city without agglomerative externalities or market imperfections : Marketplaces in a regional economy," Regional Science and Urban Economics, Elsevier, vol. 23(1), pages 121-144, March.
  14. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
  15. Henderson, J. Vernon, 2005. "Urbanization and Growth," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 24, pages 1543-1591 Elsevier.
  16. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 739-767.
  17. Gene M. Grossman & Elhanan Helpman, 1989. "Quality Ladders in the Theory of Growth," NBER Working Papers 3099, National Bureau of Economic Research, Inc.
  18. Duranton, Gilles & Puga, Diego, 2004. "Micro-foundations of urban agglomeration economies," 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 48, pages 2063-2117 Elsevier.
  19. Paul Krugman, 1991. "History versus Expectations," The Quarterly Journal of Economics, Oxford University Press, vol. 106(2), pages 651-667.
  20. Edward L. Glaeser & Jesse Shapiro, 2001. "Is There a New Urbanism? The Growth of U.S. Cities in the 1990s," NBER Working Papers 8357, National Bureau of Economic Research, Inc.
  21. Wang, Ping, 1990. "Competitive equilibrium formation of marketplaces with heterogeneous consumers," Regional Science and Urban Economics, Elsevier, vol. 20(3), pages 295-304, November.
  22. Córdoba, Juan-Carlos, 2008. "On the distribution of city sizes," Journal of Urban Economics, Elsevier, vol. 63(1), pages 177-197, January.
  23. Chad Turner & Robert Tamura & Sean Mulholland, 2013. "How important are human capital, physical capital and total factor productivity for determining state economic growth in the United States, 1840–2000?," Journal of Economic Growth, Springer, vol. 18(4), pages 319-371, December.
  24. Henderson, J. Vernon, 1991. "Urban Development: Theory, Fact, and Illusion," OUP Catalogue, Oxford University Press, number 9780195069020, December.
  25. Henderson, J V, 1974. "The Sizes and Types of Cities," American Economic Review, American Economic Association, vol. 64(4), pages 640-656, September.
  26. repec:hoo:wpaper:e-95-4 is not listed on IDEAS
  27. Henderson, J. Vernon & Wang, Hyoung Gun, 2007. "Urbanization and city growth: The role of institutions," Regional Science and Urban Economics, Elsevier, vol. 37(3), pages 283-313, May.
  28. Wang, P., 1993. "Agglomeration in a Linear City with Heterogeneous Households," Papers 9-91-10, Pennsylvania State - Department of Economics.
  29. Robert Tamura, 2002. "Human capital and economic development," FRB Atlanta Working Paper 2002-5, Federal Reserve Bank of Atlanta.
  30. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
  31. Elise Brezis & Paul Krugman, 1993. "Technology and the Life Cycle of Cities," NBER Working Papers 4561, National Bureau of Economic Research, Inc.
  32. Konishi, Hideo, 2000. "Formation of Hub Cities: Transportation Cost Advantage and Population Agglomeration," Journal of Urban Economics, Elsevier, vol. 48(1), pages 1-28, July.
  33. Vernon Henderson & Anthony Venables, 2009. "Dynamics of city formation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(2), pages 233254-2332, April.
  34. Duncan Black & Vernon Henderson, 1999. "A Theory of Urban Growth," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 252-284, April.
  35. Eaton, Jonathan & Eckstein, Zvi, 1997. "Cities and growth: Theory and evidence from France and Japan," Regional Science and Urban Economics, Elsevier, vol. 27(4-5), pages 443-474, August.
  36. Edward L. Glaeser & Jose A. Scheinkman & Andrei Shleifer, 1995. "Economic Growth in a Cross-Section of Cities," NBER Working Papers 5013, National Bureau of Economic Research, Inc.
  37. Richard J. Arnott & Joseph E. Stiglitz, 1979. "Aggregate Land Rents, Expenditure on Public Goods, and Optimal City Size," The Quarterly Journal of Economics, Oxford University Press, vol. 93(4), pages 471-500.
  38. Abdel-Rahman, Hesham M. & Anas, Alex, 2003. "Theories of system of cities," Working Papers 2003-08, University of New Orleans, Department of Economics and Finance.
  39. Satyajit Chatterjee & Gerald A. Carlino, 1998. "Aggregate employment growth and the deconcentration of metropolitan employment," Working Papers 98-6, Federal Reserve Bank of Philadelphia.
  40. Xavier Gabaix, 1999. "Zipf's Law and the Growth of Cities," American Economic Review, American Economic Association, vol. 89(2), pages 129-132, May.
  41. Kwok Tong Soo, 2004. "Zipfs Law for Cities: A Cross Country Investigation," CEP Discussion Papers dp0641, Centre for Economic Performance, LSE.
  42. Tamura, Robert, 2002. "Human capital and the switch from agriculture to industry," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 207-242, December.
  43. Lucas, Robert E, Jr, 1990. "Why Doesn't Capital Flow from Rich to Poor Countries?," American Economic Review, American Economic Association, vol. 80(2), pages 92-96, May.
  44. Yannis M. Ioannides, 2008. "Intercity Trade and Convergent versus Divergent Urban Growth," Discussion Papers Series, Department of Economics, Tufts University 0723, Department of Economics, Tufts University.
  45. Kyoji Fukao & Roland Benabou, 1993. "History Versus Expectations: A Comment," The Quarterly Journal of Economics, Oxford University Press, vol. 108(2), pages 535-542.
  46. 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.
  47. Krugman, Paul, 1981. "Trade, accumulation, and uneven development," Journal of Development Economics, Elsevier, vol. 8(2), pages 149-161, April.
  48. Davis, James C. & Henderson, J. Vernon, 2003. "Evidence on the political economy of the urbanization process," Journal of Urban Economics, Elsevier, vol. 53(1), pages 98-125, January.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:8431. 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: (Joachim Winter)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.