ネットワーク上のＫ関数法における境界効果に関する考察

DOI Web Site 被引用文献1件 参考文献22件

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タイトル別名
  • A Study on Edge Effects with the K-function Method on a Network
  • ネットワーク ジョウ ノ K カンスウホウ ニ オケル キョウカイ コウカ ニ カンスル コウサツ

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This paper deals with the so-called edge effect problem arising when the network K-function method is applied for analyzing geographic phenomena. The problem is that the results of the analysis depend on defining how the edges of the region where the phenomenon occurs are set. The problem is in this paper, considered focusing on the relation between the region size and the resulting network K-function. In the GIS literature, many researchers have considered this problem in applying the K-function method on a plane. However, to the best of our knowledge, the problem in applying the K-function method on a network has never been examined. Analysts using the network K-function method can be misled when they obtain problematic results. To overcome the edge effect problem, how the edges of the region where the analysis is conducted affect the results of the analysis should be examined.<br> For this examination, a mathematical model of the K-function value K (h) obtained by the application of the network K-function method into a point pattern distributed on a straight line is developed. This model shows that a critical value exists independently of the locations of the edges of the region on this line. In this paper, this critical value is referred to as the lowest limit value _??_low (h). Using _??_low (h), an equation is obtained which enables analysts to determine how the edges affect the results.<br> To extend the considerations on the straight line into those on a network, an empirical study was also conducted on the road network of Nisshin City, Aichi Prefecture, where 25 convenience stores are located. Through this empirical study, a different equation was obtained for the analysis of a network from that obtained for the analysis of a straight line. This equation suggests that analysts are able empirically to understand how the edge of a network affects the results of the network K-function analysis and to estimate how the results change as the edge moves.

収録刊行物

  • 地理学評論

    地理学評論 79 (2), 82-96, 2006

    公益社団法人 日本地理学会

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