Abstract
This paper presents a formal mathematical model to investigate the properties and shape of the space cost curve in the Weber-Moses type triangle space. It also examines the theoretical impacts and implications of the space cost curve on the optimum location decisions of the firm. We have shown that the shape of the space cost curve crucially depends upon the marginal transport costs with respect to distances. When the transport rates are constant, the space cost curve may be linear, convex or concave from below in the distant plane. This result is quite different from Smith's (17, 19), Richardson's (13) and Mai's (9). Furthermore, we have shown the convex space cost curve is an important condition for the existence of the optimum intermediate location. This is consistent with Haddah and Schwartzman's empirical study (5).
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References
Alonso, W., “A Reformulation of Classical Location and Its Relation to Rent Theory,”Papers Regional Science Association, 19 (1967), 23–44.
Bater, J. H. and Walker, D. B., “Further Comments on Industrial Location and Linkage,”Area, 4 (1970), 59–63.
Butler, J. H.,Economic Geography: Spatial and Environmental Aspects of Economic Activity. New York: John Wiley and Sons (1980).
Conkling, E. C. and M. Yeates,Man's Economic Environment, New York: McGraw-Hill (1976).
Haddad, P. B. and J. Schwartzman, “A Space Cost Curve of Industrial Location,”Economic Geography, 50 (1976), 141–143.
Hebert, R. F., “The Theory of Input Selection and Supply Areas in 1887: Emile Cheysson,”History of Political Economy, 6 (1974), 109–113.
Isard, W.,Location and Space Economy, New York: John Wiley and Sons (1956).
Karlson, S. H., “Modeling Location and Production: An Application to U.S. Fully-Integrated Steel Plants,”Review of Economics and Statistics, LXV, 1 (1983), 41–50.
Mai, C. C., “The Space Cost Curve and Variable Transport Cost,”Urban Study, 17 (1980), 357–359.
Massey, D., “A Critical Evaluation of Industrial-Location Theory,” in F. E. H. Hamilton and G. J. R. Linger, eds.,Spatial Analysis, Industry, Environment Progress in Research and Progress, Vol. 1Industrial System. New York: John Wiley and Sons (1979), 57–72.
Miller, J. M. and O. W. Jensen, “Location and Theory of Production,”Regional Science and Urban Economics, 8 (1978), 117–128.
Moses, L. E., “Location and the Theory of Production,”Quarterly Journal of Economics, 72 (1958), 258–272.
Richardson, H. W.,Regional Economics: Location Theory, Urban Structure and Regional Change. London: Weidfeld and Nicholson (1969).
Shieh, Y. N., “The Space Cost Curve and Variable Transport Costs: A General Production Case,”Urban Study, 20 (1983), 241–245.
Shieh, Y. N., “The Moses-Predohl Pull and the Neoclassical Location Theory: An Alternative Approach,”Regional Science and Urban Economics (forthcoming, 1983).
Silberberg, E.,The Structure of Economics: A Mathematical Analysis, New York: McGraw-Hill (1978).
Smith, D. M., “A Theoretical Framework for Geographical Studies of Industrial Location,”Economic Geography, 42 (1966), 95–113.
Smith, D. M., “On Throwing Out Weber with the Bathwater: A Note on Industrial Location and Linkage,”Areas, 1 (1970), 15–18.
Smith, D. M.,Industrial Location—An Economic Geographical Analysis. New York: John Wiley and Sons (1971).
Smith, D. M., “Modelling Industrial Location: Towards a Broader View of the Space Economy,” in F. E. I. Hamilton and G. J. R. Linger, eds.,Spatial Analysis, Industry, Environmnt Progress in Research and Application, Vol. 1.Industrial System. New York: John Wiley and Sons (1979), 37–53.
Watkins, A. J.,The Practice of Urban Economics, Beverly Hills: Sage (1980).
Weber, A.,Theory of the Location of Industries, translated by C. J. Friedrich. Chicago: University of Chicago Press, (1929).
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The author is grateful to Professors H. Ohta, C. C. Mai and K. Hohlt for valuable help. Needless to say, any possible errors are due to the author.
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Shieh, Yn. On the space curve and industrial location. Ann Reg Sci 18, 66–76 (1984). https://doi.org/10.1007/BF01291333
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DOI: https://doi.org/10.1007/BF01291333