[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/p/eti/dpaper/18053.html
   My bibliography  Save this paper

Spatial Pattern and City Size Distribution

Author

Listed:
  • MORI Tomoya
Abstract
Many large cities are found at locations with certain first nature advantages. Yet, those exogenous locational features may not be the most potent forces governing the spatial pattern of cities. In particular, population size, spacing and industrial composition of cities exhibit simple, persistent and monotonic relationships. Theories of economic agglomeration suggest that this regularity is a consequence of interactions between endogenous agglomeration and dispersion forces. This paper reviews the extant formal models that explain the spatial pattern together with the size distribution of cities, and discusses the remaining research questions to be answered in this literature. To obtain results about explicit spatial patterns of cities, a model needs to depart from the most popular two-region and systems-of-cities frameworks in urban and regional economics in which there is no variation in interregional distance. This is one of the major reasons that only few formal models have been proposed in this literature. To draw implications as much as possible from the extant theories, this review involves extensive discussions on the behavior of the many-region extension of these models. The mechanisms that link the spatial pattern of cities and the diversity in city sizes are also discussed in detail.

Suggested Citation

  • MORI Tomoya, 2018. "Spatial Pattern and City Size Distribution," Discussion papers 18053, Research Institute of Economy, Trade and Industry (RIETI).
  • Handle: RePEc:eti:dpaper:18053
    as

    Download full text from publisher

    File URL: https://www.rieti.go.jp/jp/publications/dp/18e053.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Yannis M. Ioannides & Henry G. Overman, 2004. "Spatial evolution of the US urban system," Journal of Economic Geography, Oxford University Press, vol. 4(2), pages 131-156, April.
    3. Henderson, J V, 1974. "The Sizes and Types of Cities," American Economic Review, American Economic Association, vol. 64(4), pages 640-656, September.
    4. Rikard Forslid & Gianmarco I.P. Ottaviano, 2003. "An analytically solvable core-periphery model," Journal of Economic Geography, Oxford University Press, vol. 3(3), pages 229-240, July.
    5. Solow, Robert M. & Vickrey, William S., 1971. "Land use in a long narrow city," Journal of Economic Theory, Elsevier, vol. 3(4), pages 430-447, December.
    6. Mossay, P. & Picard, P.M., 2011. "On spatial equilibria in a social interaction model," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2455-2477.
    7. Kanemoto, Yoshitsugu, 1990. "Optimal cities with indivisibility in production and interactions between firms," Journal of Urban Economics, Elsevier, vol. 27(1), pages 46-59, January.
    8. 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.
    9. E Borukhov & O Hochman, 1977. "Optimum and Market Equilibrium in a Model of a City without a Predetermined Center," Environment and Planning A, , vol. 9(8), pages 849-856, August.
    10. Esteban Rossi-Hansberg & Mark L. J. Wright, 2007. "Urban Structure and Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 597-624.
    11. Gabriel M. Ahlfeldt & Stephen J. Redding & Daniel M. Sturm & Nikolaus Wolf, 2015. "The Economics of Density: Evidence From the Berlin Wall," Econometrica, Econometric Society, vol. 83, pages 2127-2189, November.
    12. Treb Allen & Costas Arkolakis, 2014. "Trade and the Topography of the Spatial Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(3), pages 1085-1140.
    13. Puga, Diego, 1999. "The rise and fall of regional inequalities," European Economic Review, Elsevier, vol. 43(2), pages 303-334, February.
    14. Akamatsu, Takashi & Mori, Tomoya & Osawa, Minoru & Takayama, Yuki, 2017. "Spatial scale of agglomeration and dispersion: Theoretical foundations and empirical implications," MPRA Paper 80689, University Library of Munich, Germany.
    15. 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.
    16. Desmet, Klaus & Rossi-Hansberg, Esteban, 2009. "Spatial growth and industry age," Journal of Economic Theory, Elsevier, vol. 144(6), pages 2477-2502, November.
    17. Richard Baldwin & Rikard Forslid & Philippe Martin & Gianmarco Ottaviano & Frederic Robert-Nicoud, 2005. "Economic Geography and Public Policy," Economics Books, Princeton University Press, edition 1, number 7524.
    18. Gianmarco Ottaviano & Takatoshi Tabuchi & Jacques-François Thisse, 2021. "Agglomeration And Trade Revisited," World Scientific Book Chapters, in: Firms and Workers in a Globalized World Larger Markets, Tougher Competition, chapter 3, pages 59-85, World Scientific Publishing Co. Pte. Ltd..
    19. Ikeda, Kiyohiro & Murota, Kazuo & Akamatsu, Takashi & Kono, Tatsuhito & Takayama, Yuki, 2014. "Self-organization of hexagonal agglomeration patterns in new economic geography models," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 32-52.
    20. Murata, Yasusada & Thisse, Jacques-Francois, 2005. "A simple model of economic geography a la Helpman-Tabuchi," Journal of Urban Economics, Elsevier, vol. 58(1), pages 137-155, July.
    21. Michaels, Guy & Rauch, Ferdinand, 2013. "Resetting the Urban Network: 117-2012," CEPR Discussion Papers 9760, C.E.P.R. Discussion Papers.
    22. Pines,David & Sadka,Efraim & Zilcha,Itzhak (ed.), 1998. "Topics in Public Economics," Cambridge Books, Cambridge University Press, number 9780521561365, September.
    23. Imai, Haruo, 1982. "CBD hypothesis and economies of agglomeration," Journal of Economic Theory, Elsevier, vol. 28(2), pages 275-299, December.
    24. Mori, Tomoya, 1997. "A Modeling of Megalopolis Formation: The Maturing of City Systems," Journal of Urban Economics, Elsevier, vol. 42(1), pages 133-157, July.
    25. Gilles Duranton & Matthew A. Turner, 2012. "Urban Growth and Transportation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(4), pages 1407-1440.
    26. Benjamin Faber, 2014. "Trade Integration, Market Size, and Industrialization: Evidence from China's National Trunk Highway System," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(3), pages 1046-1070.
    27. Adrien BLANCHET & Pascal MOSSAY & Filippo SANTAMBROGIO, 2016. "Existence and uniqueness of equilibrium for a spatial model of social interactions," LIDAM Reprints CORE 2805, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    28. Ikeda, Kiyohiro & Akamatsu, Takashi & Kono, Tatsuhito, 2012. "Spatial period-doubling agglomeration of a core–periphery model with a system of cities," Journal of Economic Dynamics and Control, Elsevier, vol. 36(5), pages 754-778.
    29. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    30. Economides, Nicholas & Siow, Aloysius, 1988. "The Division of Markets is Limited by the Extent of Liquidity (Spatial Competition with Externalities)," American Economic Review, American Economic Association, vol. 78(1), pages 108-121, March.
    31. Tomoya Mori & Tony E. Smith & Wen-Tai Hsu, 2019. "Cities and space: Common power laws and spatial fractal structures," Papers 1907.12289, arXiv.org.
    32. Akamatsu, Takashi & Takayama, Yuki & Ikeda, Kiyohiro, 2012. "Spatial discounting, Fourier, and racetrack economy: A recipe for the analysis of spatial agglomeration models," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1729-1759.
    33. Konishi, Hideo, 2005. "Concentration of competing retail stores," Journal of Urban Economics, Elsevier, vol. 58(3), pages 488-512, November.
    34. Kiyohiro Ikeda & Kazuo Murota & Yuki Takayama, 2017. "Stable Economic Agglomeration Patterns In Two Dimensions: Beyond The Scope Of Central Place Theory," Journal of Regional Science, Wiley Blackwell, vol. 57(1), pages 132-172, January.
    35. Tomoya Mori & Koji Nishikimi & Tony E. Smith, 2008. "The Number‐Average Size Rule: A New Empirical Relationship Between Industrial Location And City Size," Journal of Regional Science, Wiley Blackwell, vol. 48(1), pages 165-211, February.
    36. Nitsch, Volker, 2005. "Zipf zipped," Journal of Urban Economics, Elsevier, vol. 57(1), pages 86-100, January.
    37. Combes, Pierre-Philippe & Duranton, Gilles & Gobillon, Laurent, 2008. "Spatial wage disparities: Sorting matters!," Journal of Urban Economics, Elsevier, vol. 63(2), pages 723-742, March.
    38. Duranton, Gilles, 2006. "Some foundations for Zipf's law: Product proliferation and local spillovers," Regional Science and Urban Economics, Elsevier, vol. 36(4), pages 542-563, July.
    39. Nathan Schiff, 2015. "Cities and product variety: evidence from restaurants," Journal of Economic Geography, Oxford University Press, vol. 15(6), pages 1085-1123.
    40. Adrien BLANCHET & Pascal MOSSAY & Filippo SANTAMBROGIO, 2013. "Existence and Uniqueness of Equilibrium for a Spatial Model of Social Interactions," Discussion papers 13055, Research Institute of Economy, Trade and Industry (RIETI).
    41. Dudey, Marc, 1990. "Competition by Choice: The Effect of Consumer Search on Firm Location Decisions," American Economic Review, American Economic Association, vol. 80(5), pages 1092-1104, December.
    42. Glaeser, Edward L & Mare, David C, 2001. "Cities and Skills," Journal of Labor Economics, University of Chicago Press, vol. 19(2), pages 316-342, April.
    43. Walter Isard, 1949. "The General Theory of Location and Space-Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 63(4), pages 476-506.
    44. 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.
    45. Yannis M. Ioannides, 2012. "From Neighborhoods to Nations: The Economics of Social Interactions," Economics Books, Princeton University Press, edition 1, volume 1, number 9892.
    46. 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.
    47. Alex Anas, 2004. "Vanishing cities: what does the new economic geography imply about the efficiency of urbanization?," Journal of Economic Geography, Oxford University Press, vol. 4(2), pages 181-199, April.
    48. H Tauchen & A D Witte, 1983. "An Equilibrium Model of Office Location and Contact Patterns," Environment and Planning A, , vol. 15(10), pages 1311-1326, October.
    49. Ota, Mitsuru & Fujita, Masahisa, 1993. "Communication technologies and spatial organization of multi-unit firms in metropolitan areas," Regional Science and Urban Economics, Elsevier, vol. 23(6), pages 695-729, December.
    50. Richard Baldwin & Rikard Forslid & Philippe Martin & Gianmarco Ottaviano & Frederic Robert-Nicoud, 2005. "Economic Geography and Public Policy," Economics Books, Princeton University Press, edition 1, number 7524.
    51. Kiyohiro Ikeda & Kazuo Murota & Takashi Akamatsu & Yuki Takayama, 2017. "Agglomeration patterns in a long narrow economy of a new economic geography model: Analogy to a racetrack economy," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(1), pages 113-145, March.
    52. Stephan Huber & Christoph Rust, 2016. "Calculate travel time and distance with OpenStreetMap data using the Open Source Routing Machine (OSRM)," Stata Journal, StataCorp LP, vol. 16(2), pages 416-423, June.
    53. Hoyt Bleakley & Jeffrey Lin, 2012. "Portage and Path Dependence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(2), pages 587-644.
    54. Wen‐Tai Hsu, 2012. "Central Place Theory and City Size Distribution," Economic Journal, Royal Economic Society, vol. 122(563), pages 903-932, September.
    55. Duncan Black & Vernon Henderson, 2003. "Urban evolution in the USA," Journal of Economic Geography, Oxford University Press, vol. 3(4), pages 343-372, October.
    56. Tabuchi, Takatoshi, 1986. "Urban agglomeration economies in a Linear City," Regional Science and Urban Economics, Elsevier, vol. 16(3), pages 421-436, August.
    57. 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.
    58. Donald R. Davis & David E. Weinstein, 2002. "Bones, Bombs, and Break Points: The Geography of Economic Activity," American Economic Review, American Economic Association, vol. 92(5), pages 1269-1289, December.
    59. Nathaniel Baum-Snow, 2007. "Did Highways Cause Suburbanization?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(2), pages 775-805.
    60. Marc Dudey, 1988. "Competition by choice," International Finance Discussion Papers 327, Board of Governors of the Federal Reserve System (U.S.).
    61. Robert E. Lucas & Esteban Rossi-Hansberg, 2002. "On the Internal Structure of Cities," Econometrica, Econometric Society, vol. 70(4), pages 1445-1476, July.
    62. Fujita, Masahisa, 1988. "A monopolistic competition model of spatial agglomeration : Differentiated product approach," Regional Science and Urban Economics, Elsevier, vol. 18(1), pages 87-124, February.
    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. Akamatsu, Takashi & Mori, Tomoya & Osawa, Minoru & Takayama, Yuki, 2017. "Spatial scale of agglomeration and dispersion: Theoretical foundations and empirical implications," MPRA Paper 80689, University Library of Munich, Germany.
    2. Takashi Akamatsu & Tomoya Mori & Minoru Osawa & Yuki Takayama, 2019. "Spatial scale of agglomeration and dispersion: Number, spacing, and the spatial extent of cities," Papers 1912.05113, arXiv.org, revised Aug 2024.
    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. José M. Gaspar, 2018. "A prospective review on New Economic Geography," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 61(2), pages 237-272, September.
    5. Takashi Akamatsu & Tomoya Mori & Yuki Takayama, 2015. "Agglomerations in a multi-region economy: Poly-centric versus mono-centric patterns," KIER Working Papers 929, Kyoto University, Institute of Economic Research.
    6. Marcus Berliant & Tomoya Mori, 2017. "Beyond urban form: How Masahisa Fujita shapes us," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(1), pages 5-28, March.
    7. 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.
    8. 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.
    9. Stephen J. Redding & Esteban Rossi-Hansberg, 2017. "Quantitative Spatial Economics," Annual Review of Economics, Annual Reviews, vol. 9(1), pages 21-58, September.
    10. Behrens, Kristian & Mion, Giordano & Murata, Yasusada & Suedekum, Jens, 2017. "Spatial frictions," Journal of Urban Economics, Elsevier, vol. 97(C), pages 40-70.
    11. 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.
    12. Kogure, Yosuke & Ikeda, Kiyohiro, 2022. "Group-theoretic Study of Economic Agglomerations on a Square Lattice," MPRA Paper 112842, University Library of Munich, Germany.
    13. Kiyohiro Ikeda & Kazuo Murota & Takashi Akamatsu & Yuki Takayama, 2017. "Agglomeration patterns in a long narrow economy of a new economic geography model: Analogy to a racetrack economy," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(1), pages 113-145, March.
    14. 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.
    15. Kim, Ho Yeon, 2012. "Shrinking population and the urban hierarchy," IDE Discussion Papers 360, Institute of Developing Economies, Japan External Trade Organization(JETRO).
    16. Henderson, J. Vernon & Thisse, Jacques-François, 2024. "Urban and spatial economics after 50 years," LSE Research Online Documents on Economics 125675, London School of Economics and Political Science, LSE Library.
    17. repec:esx:essedp:729 is not listed on IDEAS
    18. Stephen J. Redding, 2010. "The Empirics Of New Economic Geography," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 297-311, February.
    19. Stephen J. Redding, 2013. "Economic Geography: A Review of the Theoretical and Empirical Literature," Palgrave Macmillan Books, in: Daniel Bernhofen & Rod Falvey & David Greenaway & Udo Kreickemeier (ed.), Palgrave Handbook of International Trade, chapter 16, pages 497-531, Palgrave Macmillan.
    20. Behrens, Kristian & Robert-Nicoud, Frédéric, 2008. "Survival of the fittest in cities: agglomeration, selection, and polarisation," LSE Research Online Documents on Economics 28506, London School of Economics and Political Science, LSE Library.
    21. 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.

    More about this item

    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)
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models

    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:eti:dpaper:18053. 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: TANIMOTO, Toko (email available below). General contact details of provider: https://edirc.repec.org/data/rietijp.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.