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

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 the way that the future scale of facility reflects the present amount of territory. And the facilities can be located in the two-dimensional circular domain so that the hinterland effect is incorporated.In result, firstly, the ordinary tendency, so-called the weak to the wall phenomenon, is observed. The smaller the distance-decay parameter is, the more frequently the monopolization occurs. On the other hand, however, the peculiar variations in the model's behaviour are also found with changes in the parameter values. The reversal change of the facility scale, coexistence of two facilities even in small distance-decay parameter's case, and other novel phenomena also happen with some cases of facility locations and initial scale conditions.