The aim of this paper is to study the spatial features of the central functions in Tokai area mainly in terms of the correlation between functional location and central places. The following are the results.
(1) There exist positive interrelations among the population, the number of establishments and that of central functions, especially between the latter two. While, as the factors of deviation, we must take into account such circumstances as the distance between a metropolice and central places in question and/or the existence of industrial functions.
(2) The loglinear diagram representing the relation between the number of units and that of central functions shows some discontinuous parts which suggest the level-divided distribution of central places. With level division on the basis of the index of nodality, it is proved that the rising of the level lessens the ratio of the increase of central units to that of central functions.
(3) The location of central functions has no perfect correlation with the level of central places as the theory predicts. A minor change of the classificatory criterion enables us, however, to divide central functions into several types: two types of inner (non-basic) functions-located in more than 70 percent of the central places under investigation-, six types of outer (basic) functions and one type of special functions. The hierarchical classification of central places based on the manner of retention of the classified functions, on the other hand, has made available a central place system composed of six orders, in which are included 1, 3, 8, 46, 111 and 90 central places respectively.
(4) The investigation of the shift of theoretical population corresponding to each functional level-the product of population per one establishment and the number of establishments situated in the city concerned-has revealed the correlation among theoretical population, city population, and metropolitan population: the city population approximates most closely to the theoretical population of inner functions, and the metropolitan population to the theoretical population of functions of types E and F. Incidentally, it is proposed that the centrality index of a central function be obtained by subtracting city population from theoretical population.
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