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Alonso's General Theory of Movement: Advances in Spatial Interaction Modeling

Author

Listed:
  • Jacob J. de Vries

    (Vrije Universiteit Amsterdam)

  • Peter Nijkamp

    (Vrije Universiteit Amsterdam)

  • Piet Rietveld

    (Vrije Universiteit Amsterdam)

Abstract

The Spatial Interaction Model proposed by Alonso as "Theory ofMovements" offers a new specification of spatial origin-destination flow models. Equations for flows between regions, totaloutflow from and total inflow to a region are linked bybalancing factors. The paper presents a consistent formulation ofSpatial Interaction Models in the Wilson tradition andAlonso's General Theory of Movement. It will be demonstrated thatAlonso's model contains Wilson's Family of SpatialInteraction Models as special cases, but that the reverse is nottrue. The paper discusses interpretations of the model andanalyzes its statistical properties. Several approaches will bediscussed which aim to make the meaning of the balancingfactors more explicit. The paper shows that simultaneous equationtechniques are required to estimate the variousrelevant parameters.

Suggested Citation

  • Jacob J. de Vries & Peter Nijkamp & Piet Rietveld, 2000. "Alonso's General Theory of Movement: Advances in Spatial Interaction Modeling," Tinbergen Institute Discussion Papers 00-062/3, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20000062
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    References listed on IDEAS

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    1. Vos, A.F. & Bikker, J.A., 1989. "An empirical general equilibrium model for the spatial interactions of supply, demand and choice," Serie Research Memoranda 0024, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    2. Porell, Frank W. & Hua, Chang-I, 1981. "An econometric procedure for estimation of a generalized systemic gravity model under incomplete information about the system," Regional Science and Urban Economics, Elsevier, vol. 11(4), pages 585-606, November.
    3. Poot, Jacques, 1986. "A System Approach to Modelling the Inter-urban Exchange of Workers in New Zealand," Scottish Journal of Political Economy, Scottish Economic Society, vol. 33(3), pages 249-274, August.
    4. Denis Bolduc & Richard Laferrière & Gino Santarossa, 1995. "Spatial Autoregressive Error Components in Travel Flow Models: An Application to Aggregate Mode Choice," Advances in Spatial Science, in: Luc Anselin & Raymond J. G. M. Florax (ed.), New Directions in Spatial Econometrics, chapter 4, pages 96-108, Springer.
    5. Nijkamp, Peter & Reggiani, Aura, 1988. "Entropy, spatial interaction models and discrete choice analysis: Static and dynamic analogies," European Journal of Operational Research, Elsevier, vol. 36(2), pages 186-196, August.
    6. Anselin, Luc, 1982. "Implicit functional relationships between systematic effects in a general model of movement," Regional Science and Urban Economics, Elsevier, vol. 12(3), pages 365-380, August.
    7. J A Bikker & A F de Vos, 1992. "A Regional Supply and Demand Model for Inpatient Hospital Care," Environment and Planning A, , vol. 24(8), pages 1097-1116, August.
    8. Tabuchi, Takatoshi, 1984. "The systemic variables and elasticities in Alonso's general, theory of movement," Regional Science and Urban Economics, Elsevier, vol. 14(2), pages 249-264, May.
    9. Vos, A.F. & Vries, J.J., 1990. "The likelihood function of a generalized gravity model : handling the implicit singularity of a nonlinear transformation," Serie Research Memoranda 0023, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    10. Carey, Henry Charles, 1858. "Principle of social science," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number carey1858.
    11. repec:bla:kyklos:v:40:y:1987:i:3:p:315-37 is not listed on IDEAS
    12. Jacob A. Bikker, 1987. "An International Trade Flow Model with Substitution: An Extension of the Gravity Model," Kyklos, Wiley Blackwell, vol. 40(3), pages 315-337, August.
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