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The Implications of Using a Gravity Model to Determine Territory in a Circular Domain

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  • Hidenori Tamagawa

    (Department of Urban System Science, Graduate School of Urban Environmental Sciences, Tokyo Metropolitan University, Hachioji, 192-0397, Tokyo, Japan)

Abstract

This paper uses a gravity model to determinate the territory of two facilities on a two-dimensional plane and aims to discover its new implications. The recursive process is installed to the model in such a way that the future scale of a facility reflects the present amount of territory. And the facilities can be located in a two-dimensional circular domain so that the hinterland effect is incorporated. As a result, firstly, an ordinary tendency—the so-called weak-to-the-wall phenomenon—is observed. The smaller the distance-decay parameter, the more frequently this monopolization occurs. On the other hand, peculiar variations in the model's behavior are also found with changes in parameter values. A reversal of the facility scale, the coexistence of two facilities even with a small distance-decay parameter, and other novel phenomena also occur with some cases of facility locations and initial scale conditions.

Suggested Citation

  • Hidenori Tamagawa, 2012. "The Implications of Using a Gravity Model to Determine Territory in a Circular Domain," Environment and Planning B, , vol. 39(6), pages 978-990, December.
    • Handle: RePEc:sae:envirb:v:39:y:2012:i:6:p:978-990
    DOI: 10.1068/b38023
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    References listed on IDEAS

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    1. David L. Huff, 1963. "A Probabilistic Analysis of Shopping Center Trade Areas," Land Economics, University of Wisconsin Press, vol. 39(1), pages 81-90.
    2. Rijk, F. J. A. & Vorst, A. C. F., 1983. "Equilibrium points in an urban retail model and their connection with dynamical systems," Regional Science and Urban Economics, Elsevier, vol. 13(3), pages 383-399, August.
    3. Fleming, Euan M. & Thiemann, Franziska & Mueller, Rolf A.E., 2011. "Information and Communication Technology and the Global Flow of Wine: A Gravity Model of ICT in Wine Trade," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 114353, European Association of Agricultural Economists.
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