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

Hidenori Tamagawa
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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

Environment and Planning B, 2012, vol. 39, issue 6, 978-990

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.

Keywords: gravity model; territory; distance-decay parameter; facility location (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:sae:envirb:v:39:y:2012:i:6:p:978-990

DOI: 10.1068/b38023

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