Flows in the Space Economy

  • Tönu Puu
Part of the Advances in Spatial Science book series (ADVSPATIAL)


In Chapter 2 we discussed the derivation of optimal flow lines for various economic flows, such as those of traded commodities. The complete specification of these flows requires not only the direction to be given, but the volume as well. As a rule both change from one location in space to another.


Minimal Surface Transportation Cost Boundary Curve Excess Demand Flow Function 
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Further Reading

  1. M. J. Beckmann, 1952, “A continuous model of transportation”, Econometrica 20: 642–660.CrossRefGoogle Scholar
  2. M. J. Beckmann, 1953, “The partial equilibrium of a continuous space economy”, Weltwirtschaftliches Archiv 71: 73–89.Google Scholar
  3. M. J. Beckmann, 1976, “Equilibrium and stability in a continuous space market”, Operations Research Verfahren 14: 48–63Google Scholar
  4. M. J Beckmann and T. Puu, 1985, Spatial Economics, North-Holland, Amsterdam.Google Scholar
  5. C. Ponsard, 1955, Économie et Espace, Sedes, Paris.Google Scholar
  6. T. Puu, 2000, Attractors, Bifurcations, Chaos - Nonlinear Perspectives in Economics, Springer-Verlag, Heidelberg.Google Scholar
  7. P. A. Samuelson, 1952, “Spatial price equilibrium and linear programming”, American Economic Review 42: 283–303.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Tönu Puu
    • 1
  1. 1.CERUMUmeå UniversityUmeåSweden

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