人口密度増加率曲線の形態について

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When a relationship between population density D and increase rate of population p in an area is expressed by an equation: p=f(D) (1) which is called here "density-increase rate curve of population," increase of population density is restricted by the configuration of the function expressed by equation (1). If [numerical formula] (2) in the neighborhood of a value of D, D* where the value of p is exactly 0, then population density D cannot increase without any restriction. The maximum value of D should be approximately D*, and p cannot be much smaller than 0 at the point where D≒D*. This is a basic and important characteristic of density-increase rate curve of population. However, when we observe the relationship between D and p which are obtained from cross-section data for small areas found in a region observed, population increase rate which is smaller than 0 is frequently observed, in the vicinity of the point where maximum value of D is found. In this paper, the reason why the population increase rate p which is smaller than 0 appears is examined. It was concluded that if density-increase rate curve of population was not fixed, but shifted downwards in process of time, population increase rate could be smaller than 0, because if population density D was D* at time t, and the density-increase curve of population shift downwards, then population increase rate p could be smaller than 0, though population density D is D*. By using this mechanism of determining the configuration of density-increase rate of population written above, historical process of the change of the spatial distribution of population in Yokohama and Kawasaki (in Japan) was analyzed.
流通経済大学の論文

人口密度増加率曲線の形態について

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