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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 6: Poster

SOE 6.10: Poster

Montag, 16. März 2020, 17:00–20:00, P2/4OG

Comparing spatial distributions of population and stores/facilities based on multifractal analysis — •Mariko Ito and Takaaki Ohnishi — The University of Tokyo, Tokyo, Japan

By multifractal analysis, we can characterize the structural feature of an object in which the density is spatially heterogeneous. The multifractal spectrum obtained from the analysis shows the relationship between the local fractal dimension (singularity strength) and the fractal dimension of all points that have the singularity strength around each of those. We applied multifractal analysis to the investigation on how the population and stores/facilities distribute spatially in the metropolitan area in Japan. As the data of the population and stores/facilities, we used Japanese 100-meter estimated mesh data from national censuses and corporate telephone directory database telepoint with coordinates, respectively.

We derived the multifractal spectrums for the spatial distribution of the population and 39 categories of stores/facilities. We compared the spectrums of the population and the categories, by using the indicators relating to the shape of each spectrum, such as the width of the singularity strength of the spectrum. In this presentation, we will show what kind of stores/facilities possess similar multifractal spectrum to that of the population. We will discuss which categories of stores/facilities are close to the population in the point of view of the spatial distribution.