Abstract
This is a part of study on the method of distribution of regional facilities. Last year, I proposed a new analytical method of distribution pattern of regional facilities, named "spacing method". In the report, the difference of Aggregation type and Scatterd type was clarified by comparison with the mathematical model of randum distribution pattern. But the generative mechanism of the two type is not clear yet. In this paper, I make it clear and propose a method of the quantitative representation of coaction of regional facilities. The summary of this paper is following. In this summary, the case in linear space is mentioned. The case in second dimension space is almost same. (1) In case of randum distribution pattern (there is no coaction), the density of individual outbreak m(x) (individual number/length) is uniform as to distance x. (Fig 1, equation (1)) But the density of individual outbreak of Aggregation type and Scatterd type are not uniform as to distance x. (2) The density of individual outbreak of Aggregation type and Scatterd type are presumed equation (2), (18). (3) Making use of equation (2), (18), the mathematical model of Aggregation type and Scatterd type are equation (8) and (19). (4) I applied equation (8), (19) to the distribution of tailors in Tenjinbashi shopping street and the distribution of the post towns in the Tokaido. (Fig 2, 5) (5) A quantitative representation of coaction of regional facilities coincides with the distribution of density of individual outbreak
