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The implications of using a gravity model to determine territory in a circular domain


  • Hidenori Tamagawa


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. Keywords: gravity model, territory, distance-decay parameter, facility location

Suggested Citation

  • Hidenori Tamagawa, 2012. "The implications of using a gravity model to determine territory in a circular domain," Environment and Planning B: Planning and Design, Pion Ltd, London, vol. 39(6), pages 978-990, November.
  • Handle: RePEc:pio:envirb:v:39:y:2012:i:6:p:978-990

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    1. Paul Anderson & David Levinson & Pavithra Parthasarathi, 2011. "Accessibility Futures," Working Papers 000088, University of Minnesota: Nexus Research Group.
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