@article{oai:glim-re.repo.nii.ac.jp:00000326,
 author = {平岡, 規之 and 川嶋, 辰彦 and Hiraoka, Noriyuki and Kawashima, Tatsuhiko},
 issue = {3},
 journal = {學習院大學經濟論集, The journal of Faculty of Economics, Gakushuin University},
 month = {Nov},
 note = {application/pdf, There　are　few　systematical　quantitative　too且s　to　study　spatial－cyc且e　paths　of　large　metropolitan　arξas，　partly because　there　exist　difficulties　in　quantitatively　grasp　basic　characteristics　embodied　in　the　phenomena　of spatial　cycles．　The　ROXY　index　methOds，　however，　can　apply　not　on且y　to　the　investigation　of　identifying stages　of　spatia且一cycle　processes，　but　also　to　the　examination　of　the　periods　of　the　spatial－cycle　path　with the　aid　of　eigenvalues　used　in　the　field　of　econometrics．　An　examination　of　a　set　of　annual　data　for　five railway－line　regions　in　Tokyo　metropolitan　area，　suppOrts　the　abOve　exp㏄tation，　ThiS　paper　concludes　that the　al且five　railway－line　regions　are　at　the　stage　of　decentralization　after　1980，　and　that　the　period．　of　spatial sub－cycles　for　the　Chuo－line　region　is　approximately　seven　to　ten　years．　ThiS　paper　also　mathem就ica且且y compares　the　drawbacks　and　merits　of　three　types　of　ROXY　indices　which　are　respectively　set　for（i） discrete－linear　region，（li）continuous－liner　region　and価）fa！1－shaped　region．　This　study　conc！udes　that　the ordinary　definition　of　the　ROXY　index　could　be　usable　unless　the　distribution　of　the　values　of　the　weighing factors　are　extremely　skewed　toward　either　the　smallest　value　or　the　largest　value．},
 pages = {317--422},
 title = {Mathematical Characteristics of ROXY Index (II) : Periods of Intra-metropolitan Spatial-cycle Paths and Theoretically-ideal Formulations of ROXY Index},
 volume = {30},
 year = {1993},
 yomi = {ヒラオカ, ノリユキ and カワシマ, タツヒコ}
}