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Existence and stability of city-size distribution in the gravity and logit models

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  • T Tabuchi

Abstract

An attempt is made to analyze reasons for and consequences of migration under zero population growth by use of a system of simultaneous differential equations. Intercity migration is assumed to take place based upon differences in utilities, where the utility function is expressed as a function of city size. It is revealed that a deterministic specification of the utility leads to an unstable distribution of city sizes, whereas a stochastic specification does not. Existence and stability of equilibria are examined for two representative stochastic migration models: the origin-constrained gravity model and the logit model. It is then argued that population concentration can be explained by an increase in urbanization economies, and population decentralization can be due to a decrease in intercity transportation and communication costs.

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Bibliographic Info

Article provided by Pion Ltd, London in its journal Environment and Planning A.

Volume (Year): 18 (1986)
Issue (Month): 10 (October)
Pages: 1375-1389

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Handle: RePEc:pio:envira:v:18:y:1986:i:10:p:1375-1389

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Web page: http://www.pion.co.uk

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Cited by:
  1. OTTAVIANO, Gianmarco & THISSE, Jacques-François, 2003. "Agglomeration and economic geography," CORE Discussion Papers 2003016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Nakajima, Tetsuya, 1995. "Equilibrium with an underpopulated region and an overpopulated region," Regional Science and Urban Economics, Elsevier, vol. 25(1), pages 109-123, February.
  3. Berliant, Marcus & Kung, Fan-chin, 2009. "Bifurcations in regional migration dynamics," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 714-720, November.
  4. Tabuchi, Takatoshi & Thisse, Jacques-François, 2001. "Taste Heterogeneity, Labour Mobility and Economic Geography," CEPR Discussion Papers 3114, C.E.P.R. Discussion Papers.
  5. Takatoshi Tabuchi & Jacques-Francois Thisse, 2001. "Labor Mobility and Economic Geography," CIRJE F-Series CIRJE-F-99, CIRJE, Faculty of Economics, University of Tokyo.
  6. PICARD, Pierre & ZENG, Dao-Zhi, 2003. "Agricultural sector and industrial agglomeration," CORE Discussion Papers 2003022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Lööf, Hans & Nabavi, Pardis, 2013. "Learning and Productivity of Swedish Exporting Firms: The importance of Innovation Efforts and the Geography of Innovation," Working Paper Series in Economics and Institutions of Innovation 296, Royal Institute of Technology, CESIS - Centre of Excellence for Science and Innovation Studies.
  8. Xavier Gabaix & Yannis M. Ioannides, 2003. "The Evolution of City Size Distributions," Discussion Papers Series, Department of Economics, Tufts University 0310, Department of Economics, Tufts University.
  9. TABUCHI, Takatoshi & THISSE, Jacques-François & ZENG, Dao-Zhi, 2001. "On the evolution of a multi-regional system," CORE Discussion Papers 2001003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. Takatoshi Tabuchi & Dao-Zhi Zeng, 2004. "Stability of Spatial Equilibrium," Journal of Regional Science, Wiley Blackwell, vol. 44(4), pages 641-660.
  11. Tabuchi, Takatoshi & Thisse, Jacques-François & Zeng, Dao-Zhi, 2002. "On the Number and Size of Cities," CEPR Discussion Papers 3386, C.E.P.R. Discussion Papers.
  12. Zeng, Dao-Zhi, 2002. "Equilibrium stability for a migration model," Regional Science and Urban Economics, Elsevier, vol. 32(1), pages 123-138, January.

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