The major four stages of the spatial-cycles are quantitatively exa〃iined, by use of the data extending oレθrthe past肋years(for the period 1947-2000り,プbr the帥o kinds(~f urban syste〃ls i〃Japan. The one is the spatial system of primary core cities, and the other is that of the Tokl>・O Metropolitan Area. The 脚”α’-cycle h),pothesis constructed by Klaa∬en and the〃3励04ψん8 Roη一index analysis deレψρε4わy the author are¢apptied to our investigatゴ0π. The・res〃ts・obtainedゴllum’nate rather ctearly the recent trend of the revived agglO〃ieration of the POρulation in the core cities q〃arge〃ietropolitan areas, especゴally that towards the central part of the Tokyoルletroρolゴtan Area. This would吻ly that the core Cめ・q勧θ Tokyo Metropolitan Area W〃play an increasingly critical roleゴn the urわαπρ0’ゴdθ5 qプノapan, as CO那ρακ4瞬んeither・its・suburban・area・or・the・core・cities(ゾ0∫h8r紹r〔)PO’itan・areas