都市システムの時空間収束 : MDSとQ分析の方法論的比較(<特集>地理学における多次元尺度構成法の応用)

概要

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Most studies of time-space convergence in urban systems have used Multi-Dimensional Scaling (MDS). However, two-dimensional configuration in these studies cannot be always regarded as geographic map, particularly for a long-term qualitative change. Q-analysis, a topological language, enables us to understand that change. The objective of this paper is considering methodologies of MDS and Q-analysis in time-space convergence studies. Two studies of time-space convergence in Japan, Murayama's MDS and the author's Q-analysis, are compared from a methodological view. The MDS method reduces multi-dimensional metric space to two-dimensional one, but that tends to break original adjacent relationships. Q-analysis can describe the structure of topological relationships among cities, using the concepts of local dimensionality, nearness, and connectivity. While MDS focuses on the origin and distance, Q-analysis is applicable to a long-term uneven transportation development.
日本行動計量学会の論文
2006-09-29