IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/99746.html
   My bibliography  Save this paper

The Size Distribution of Cities with Distance-Bound Households

Author

Listed:
  • Watanabe, Axel

Abstract

There has been a long tradition of presumed perfect mobility in urban economics. Workers switch their locations in direct response to differences in local economic performance. Recent empirical observations prove otherwise. The number of movers rapidly declines with distance moved while there is a positive correlation between distance moved and skill level. I build a general equilibrium model of a system of cities to explain the city-size distribution as a result of reduced mobility. Workers with a heterogeneous skill level have a corresponding distance-tolerance level and self-sort into select cities. The resulting size distribution reflects the trade-off between the distance moved and earning opportunities enhanced by agglomeration. I extrapolate consumers’ tolerance towards distance and skill level from US Census data on city size and intercity migration.

Suggested Citation

  • Watanabe, Axel, 2020. "The Size Distribution of Cities with Distance-Bound Households," MPRA Paper 99746, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:99746
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/99746/1/MPRA_paper_99746.pdf
    File Function: original version
    Download Restriction: no
    File URL: https://mpra.ub.uni-muenchen.de/103310/1/MPRA_paper_103310.pdf
    File Function: revised version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Marcus Berliant & Axel H. Watanabe, 2018. "A scale‐free transportation network explains the city‐size distribution," Quantitative Economics, Econometric Society, vol. 9(3), pages 1419-1451, November.
    2. Donald R. Davis & Jonathan I. Dingel, 2019. "A Spatial Knowledge Economy," American Economic Review, American Economic Association, vol. 109(1), pages 153-170, January.
    3. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    4. Gilles Duranton, 2007. "Urban Evolutions: The Fast, the Slow, and the Still," American Economic Review, American Economic Association, vol. 97(1), pages 197-221, March.
    5. 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.
    6. Starrett, David, 1978. "Market allocations of location choice in a model with free mobility," Journal of Economic Theory, Elsevier, vol. 17(1), pages 21-37, February.
    7. Boris Hirsch & Elke J. Jahn & Alan Manning & Michael Oberfichtner, 2022. "The Urban Wage Premium in Imperfect Labor Markets," Journal of Human Resources, University of Wisconsin Press, vol. 57(S), pages 111-136.
    8. Falck, Oliver & Heblich, Stephan & Lameli, Alfred & Südekum, Jens, 2012. "Dialects, cultural identity, and economic exchange," Journal of Urban Economics, Elsevier, vol. 72(2), pages 225-239.
    9. Yankow, Jeffrey J., 2006. "Why do cities pay more? An empirical examination of some competing theories of the urban wage premium," Journal of Urban Economics, Elsevier, vol. 60(2), pages 139-161, September.
    10. Ferdinand Rauch, 2014. "Cities as spatial clusters," Journal of Economic Geography, Oxford University Press, vol. 14(4), pages 759-773.
    11. Raven Molloy & Christopher L. Smith & Abigail Wozniak, 2011. "Internal Migration in the United States," Journal of Economic Perspectives, American Economic Association, vol. 25(3), pages 173-196, Summer.
    12. Alan Manning, 2010. "The plant size-place effect: agglomeration and monopsony in labour markets," Journal of Economic Geography, Oxford University Press, vol. 10(5), pages 717-744, September.
    13. 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.
    14. 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.
    15. Boyd, John III & Conley, John P., 1997. "Fundamental Nonconvexities in Arrovian Markets and a Coasian Solution to the Problem of Externalities," Journal of Economic Theory, Elsevier, vol. 72(2), pages 388-407, February.
    16. Coulson, N Edward & Laing, Derek & Wang, Ping, 2001. "Spatial Mismatch in Search Equilibrium," Journal of Labor Economics, University of Chicago Press, vol. 19(4), pages 949-972, October.
    Full references (including those not matched with items on IDEAS)

    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.
    1. Breinlich, Holger & Ottaviano, Gianmarco I.P. & Temple, Jonathan R.W., 2014. "Regional Growth and Regional Decline," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 4, pages 683-779, Elsevier.
    2. Marcus Berliant & Hiroki Watanabe, 2015. "Explaining the size distribution of cities: Extreme economies," Quantitative Economics, Econometric Society, vol. 6(1), pages 153-187, March.
    3. 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.
    4. Behrens, Kristian & Robert-Nicoud, Frédéric, 2015. "Agglomeration Theory with Heterogeneous Agents," 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 171-245, Elsevier.
    5. Desmet, Klaus & Henderson, J. Vernon, 2015. "The Geography of Development Within Countries," 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 1457-1517, Elsevier.
    6. Ramos, Arturo & Sanz-Gracia, Fernando, 2015. "US city size distribution revisited: Theory and empirical evidence," MPRA Paper 64051, University Library of Munich, Germany.
    7. repec:esx:essedp:729 is not listed on IDEAS
    8. Hasan Engin Duran & Andrzej Cieślik, 2021. "The distribution of city sizes in Turkey: A failure of Zipf’s law due to concavity," Regional Science Policy & Practice, Wiley Blackwell, vol. 13(5), pages 1702-1719, October.
    9. Oshiro, Jun & Sato, Yasuhiro, 2021. "Industrial structure in urban accounting," Regional Science and Urban Economics, Elsevier, vol. 91(C).
    10. Christian Düben & Melanie Krause, 2021. "Population, light, and the size distribution of cities," Journal of Regional Science, Wiley Blackwell, vol. 61(1), pages 189-211, January.
    11. Gilles Duranton & Diego Puga, 2023. "Urban Growth and Its Aggregate Implications," Econometrica, Econometric Society, vol. 91(6), pages 2219-2259, November.
    12. Jesús Clemente & Rafael González-Val & Irene Olloqui, 2011. "Zipf’s and Gibrat’s laws for migrations," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 47(1), pages 235-248, August.
    13. Ho Yeon KIM & Petra de Jong & Jan Rouwendal & Aleid Brouwer, 2012. "Shrinking population and the urban hierarchy [Housing preferences and attribute importance among Dutch older adults: a conjoint choice experiment]," ERSA conference papers ersa12p350, European Regional Science Association.
    14. Lee, Sanghoon & Li, Qiang, 2013. "Uneven landscapes and city size distributions," Journal of Urban Economics, Elsevier, vol. 78(C), pages 19-29.
    15. Benoît Schmutz & Modibo Sidibé, 2021. "Search and Zipf: A model of Frictional Spatial Equilibrium," Working Papers 2021-01, Center for Research in Economics and Statistics.
    16. de Palma, André & Papageorgiou, Yorgos Y. & Thisse, Jacques-François & Ushchev, Philip, 2019. "About the origin of cities," Journal of Urban Economics, Elsevier, vol. 111(C), pages 1-13.
    17. William R. Kerr & Frederic Robert-Nicoud, 2020. "Tech Clusters," Journal of Economic Perspectives, American Economic Association, vol. 34(3), pages 50-76, Summer.
    18. Watanabe, Hiroki, 2015. "A Spatial Production Economy Explains Zipf’s Law for Gross Metropolitan Product," MPRA Paper 72907, University Library of Munich, Germany.
    19. 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.
    20. Jorge De la Roca & Gianmarco I P Ottaviano & Diego Puga, 2023. "City of Dreams," Journal of the European Economic Association, European Economic Association, vol. 21(2), pages 690-726.
    21. Behrens, Kristian & Mion, Giordano & Murata, Yasusada & Suedekum, Jens, 2017. "Spatial frictions," Journal of Urban Economics, Elsevier, vol. 97(C), pages 40-70.

    More about this item

    Keywords

    labor mobility; internal migration; city-size distribution;
    All these keywords.

    JEL classification:

    • J61 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Geographic Labor Mobility; Immigrant Workers
    • 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:

    Statistics

    Access and download statistics

    Corrections

    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:99746. 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.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.