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The optimal distribution of population across cities

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  • Albouy, David
  • Behrens, Kristian
  • Robert-Nicoud, Frédéric
  • Seegert, Nathan

Abstract

We develop an urban model that incorporates: (1) heterogeneous sites; (2) fiscal and urban externalities; and (3) an endogenous number of cities, i.e., the extensive margin of urban development. Within- and across-city decreasing returns to scale cause agents to perceive their city as being too large in the socially optimal allocation. As a consequence, in equilibrium the largest cities on the most amenable sites are undersized, whereas the smaller cities on less amenable sites are oversized. We propose a test for optimal city size with heterogeneous sites extending the Henry George Theorem.

Suggested Citation

  • Albouy, David & Behrens, Kristian & Robert-Nicoud, Frédéric & Seegert, Nathan, 2019. "The optimal distribution of population across cities," Journal of Urban Economics, Elsevier, vol. 110(C), pages 102-113.
  • Handle: RePEc:eee:juecon:v:110:y:2019:i:c:p:102-113
    DOI: 10.1016/j.jue.2018.08.004
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    as
    1. Cheshire, Paul & Sheppard, Stephen, 2002. "The welfare economics of land use planning," Journal of Urban Economics, Elsevier, vol. 52(2), pages 242-269, September.
    2. Stephen J. Redding & Daniel M. Sturm, 2008. "The Costs of Remoteness: Evidence from German Division and Reunification," American Economic Review, American Economic Association, vol. 98(5), pages 1766-1797, December.
    3. Klaus Desmet & Esteban Rossi-Hansberg, 2013. "Urban Accounting and Welfare," American Economic Review, American Economic Association, vol. 103(6), pages 2296-2327, October.
    4. Combes, Pierre-Philippe & Gobillon, Laurent, 2015. "The Empirics of Agglomeration Economies," Handbook of Regional and Urban Economics, Elsevier.
    5. Chang-Tai Hsieh & Enrico Moretti, 2019. "Housing Constraints and Spatial Misallocation," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(2), pages 1-39, April.
    6. Tolley, George S., 1974. "The welfare economics of city bigness," Journal of Urban Economics, Elsevier, vol. 1(3), pages 324-345, July.
    7. Jan Eeckhout & Nezih Guner, 2014. "Optimal Spatial Taxation: Are Big Cities too Small?," Working Papers 804, Barcelona Graduate School of Economics.
    8. Henderson, J V, 1974. "The Sizes and Types of Cities," American Economic Review, American Economic Association, vol. 64(4), pages 640-656, September.
    9. Jan Eeckhout & Nezih Guner, 2017. "Optimal Spatial Taxation: Are Big Cities too Small?," Working Papers wp2018_1705, CEMFI.
    10. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    11. Henderson, J V, 1974. "Optimum City Size: The External Diseconomy Question," Journal of Political Economy, University of Chicago Press, vol. 82(2), pages 373-388, Part I, M.
    12. Roback, Jennifer, 1982. "Wages, Rents, and the Quality of Life," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1257-1278, December.
    13. Fujita,Masahisa, 1991. "Urban Economic Theory," Cambridge Books, Cambridge University Press, number 9780521396455.
    14. repec:oup:jecgeo:v:17:y:2017:i:1:p:59-94. is not listed on IDEAS
    15. Behrens, Kristian & Robert-Nicoud, Frédéric, 2015. "Agglomeration Theory with Heterogeneous Agents," Handbook of Regional and Urban Economics, Elsevier.
    16. Kristian Behrens & Gilles Duranton & Frédéric Robert-Nicoud, 2014. "Productive Cities: Sorting, Selection, and Agglomeration," Journal of Political Economy, University of Chicago Press, vol. 122(3), pages 507-553.
    17. 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.
    18. Hoyt Bleakley & Jeffrey Lin, 2012. "Portage and Path Dependence," The Quarterly Journal of Economics, Oxford University Press, vol. 127(2), pages 587-644.
    19. Treb Allen & Costas Arkolakis, 2014. "Trade and the Topography of the Spatial Economy," The Quarterly Journal of Economics, Oxford University Press, vol. 129(3), pages 1085-1140.
    20. Robert Fenge & Volker Meier, 2001. "Why Cities Should not be Subsidized," CESifo Working Paper Series 546, CESifo Group Munich.
    21. Lee, Sanghoon & Li, Qiang, 2013. "Uneven landscapes and city size distributions," Journal of Urban Economics, Elsevier, vol. 78(C), pages 19-29.
    22. Behrens, Kristian & Mion, Giordano & Murata, Yasusada & Suedekum, Jens, 2017. "Spatial frictions," Journal of Urban Economics, Elsevier, vol. 97(C), pages 40-70.
    23. repec:bla:econom:v:85:y:2018:i:339:p:428-448 is not listed on IDEAS
    24. Edward L. Glaeser & Joshua D. Gottlieb, 2009. "The Wealth of Cities: Agglomeration Economies and Spatial Equilibrium in the United States," Journal of Economic Literature, American Economic Association, vol. 47(4), pages 983-1028, December.
    25. Abdel-Rahman, Hesham M. & Anas, Alex, 2004. "Theories of systems of cities," 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 52, pages 2293-2339 Elsevier.
    26. Helpman, Elhanan & Pines, David, 1980. "Optimal Public Investment and Dispersion Policy in a System of Open Cities," American Economic Review, American Economic Association, vol. 70(3), pages 507-514, June.
    27. Hilber, Christian A.L. & Robert-Nicoud, Frédéric, 2013. "On the origins of land use regulations: Theory and evidence from US metro areas," Journal of Urban Economics, Elsevier, vol. 75(C), pages 29-43.
    28. Andrii Parkhomenko, 2018. "The Rise of Housing Supply Regulation in the US: Local Causes and Aggregate Implications," 2018 Meeting Papers 275, Society for Economic Dynamics.
    29. repec:oup:restud:v:86:y:2019:i:1:p:333-376. is not listed on IDEAS
    30. Upton, Charles, 1981. "An equilibrium model of city size," Journal of Urban Economics, Elsevier, vol. 10(1), pages 15-36, July.
    31. David Albouy, 2009. "The Unequal Geographic Burden of Federal Taxation," Journal of Political Economy, University of Chicago Press, vol. 117(4), pages 635-667, August.
    32. Oded Hochman & David Pines, 1993. "Federal Income Tax and Its Effects On Inter- and Intracity Resource Allocation," Public Finance Review, , vol. 21(3), pages 276-304, July.
    33. 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.
    34. David Albouy, 2008. "Are Big Cities Bad Places to Live? Estimating Quality of Life across Metropolitan Areas," NBER Working Papers 14472, National Bureau of Economic Research, Inc.
    35. Glaeser, Edward L & Gyourko, Joseph & Saks, Raven, 2005. "Why Is Manhattan So Expensive? Regulation and the Rise in Housing Prices," Journal of Law and Economics, University of Chicago Press, vol. 48(2), pages 331-369, October.
    36. Kanemoto, Yoshitsugu, 1980. "Theories of urban externalities," MPRA Paper 24614, University Library of Munich, Germany.
    37. Flatters, Frank & Henderson, Vernon & Mieszkowski, Peter, 1974. "Public goods, efficiency, and regional fiscal equalization," Journal of Public Economics, Elsevier, vol. 3(2), pages 99-112, May.
    38. Vernon Henderson & Anthony Venables, 2009. "Dynamics of city formation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(2), pages 233-254, April.
    39. Buchanan, James M. & Goetz, Charles J., 1972. "Efficiency limits of fiscal mobility: An assessment of the tiebout model," Journal of Public Economics, Elsevier, vol. 1(1), pages 25-43, April.
    40. Alberto F. Ades & Edward L. Glaeser, 1995. "Trade and Circuses: Explaining Urban Giants," The Quarterly Journal of Economics, Oxford University Press, vol. 110(1), pages 195-227.
    41. Gilles Duranton & J. V. Henderson & William C. Strange (ed.), 2015. "Handbook of Regional and Urban Economics," Handbook of Regional and Urban Economics, Elsevier, edition 1, volume 5, number 5.
    42. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64, pages 416-416.
    43. Abdel-Rahman, H. M., 1988. "Product differentiation, monopolistic competition and city size," Regional Science and Urban Economics, Elsevier, vol. 18(1), pages 69-86, February.
    44. Henderson, J. Vernon, 1986. "Efficiency of resource usage and city size," Journal of Urban Economics, Elsevier, vol. 19(1), pages 47-70, January.
    45. Chun-Chung Au & J. Vernon Henderson, 2006. "Are Chinese Cities Too Small?," Review of Economic Studies, Oxford University Press, vol. 73(3), pages 549-576.
    46. Redding, Stephen J., 2016. "Goods trade, factor mobility and welfare," Journal of International Economics, Elsevier, vol. 101(C), pages 148-167.
    47. Mirrlees, J. A., 1982. "Migration and optimal income taxes," Journal of Public Economics, Elsevier, vol. 18(3), pages 319-341, August.
    48. Fenge, Robert & Meier, Volker, 2002. "Why cities should not be subsidized," Journal of Urban Economics, Elsevier, vol. 52(3), pages 433-447, November.
    49. Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2019. "The Costs of Agglomeration: House and Land Prices in French Cities," Post-Print halshs-01938356, HAL.
    50. Henderson, Vernon & Becker, Randy, 2000. "Political Economy of City Sizes and Formation," Journal of Urban Economics, Elsevier, vol. 48(3), pages 453-484, November.
    51. Melo, Patricia C. & Graham, Daniel J. & Noland, Robert B., 2009. "A meta-analysis of estimates of urban agglomeration economies," Regional Science and Urban Economics, Elsevier, vol. 39(3), pages 332-342, May.
    52. Albouy, David, 2012. "Evaluating the efficiency and equity of federal fiscal equalization," Journal of Public Economics, Elsevier, vol. 96(9-10), pages 824-839.
    53. Pablo D Fajgelbaum & Eduardo Morales & Juan Carlos Suárez Serrato & Owen Zidar, 2019. "State Taxes and Spatial Misallocation," Review of Economic Studies, Oxford University Press, vol. 86(1), pages 333-376.
    54. Wouter Vermeulen, 2017. "Agglomeration externalities and urban growth controls," Journal of Economic Geography, Oxford University Press, vol. 17(1), pages 59-94.
    55. Arnott, Richard, 1979. "Optimal city size in a spatial economy," Journal of Urban Economics, Elsevier, vol. 6(1), pages 65-89, January.
    56. Pines, David & Sadka, Efraim, 1986. "Comparative statics analysis of a fully closed city," Journal of Urban Economics, Elsevier, vol. 20(1), pages 1-20, July.
    57. Harris, John R & Todaro, Michael P, 1970. "Migration, Unemployment & Development: A Two-Sector Analysis," American Economic Review, American Economic Association, vol. 60(1), pages 126-142, March.
    58. Jimenez, Emmanuel, 1984. "Tenure Security and Urban Squatting," The Review of Economics and Statistics, MIT Press, vol. 66(4), pages 556-567, November.
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    Cited by:

    1. Sergey Kichko, 2018. "Competition, Land Price, and City Size," HSE Working papers WP BRP 190/EC/2018, National Research University Higher School of Economics.
    2. repec:eee:juecon:v:109:y:2019:i:c:p:1-13 is not listed on IDEAS

    More about this item

    Keywords

    Optimal and equilibrium city sizes; Fiscal wedges; Local governments; Henry George Theorem;

    JEL classification:

    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • J61 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Geographic Labor Mobility; Immigrant Workers
    • H73 - Public Economics - - State and Local Government; Intergovernmental Relations - - - Interjurisdictional Differentials and Their Effects

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