PPS (Pottial Path Spac) i y i l j Vij (2) H x PP (Pottial Path ra) (gravity-typ masur) i i i j1 cij (1) D j j c ij ij 4)7) 8), 9) D j V ij j i 198 1)1

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1 ( ) taimoto@ss.tottori-u.ac.jp 2 ( ) 3 ( ) Ky Words: accssibility, public trasportatio plaig, rural aras, tim allocatio, spac-tim prism 197 Hady ad Nimir 1) Kwa 2) Gurs ad va W 3) 544

2 PPS (Pottial Path Spac) i y i l j Vij (2) H x PP (Pottial Path ra) (gravity-typ masur) i i i j1 cij (1) D j j c ij ij 4)7) 8), 9) D j V ij j i 198 1)13) Hägrstrad 14) H H x, y PPSpottial path spac Ltorp 15) PPS pottial path ara: PP 16)21) 545

3 t 2 (1) (2) (3) t 1 H 9 1m )24) 25), 26) H H t 1 t 2 (1)(3) (1)(3) PPS PP 546

4 H 1 2 x 1 x 2 m 1 m 12 m 2 w 1 w 2 y 1 y 2 T 27) 28) T = m 1 + m 12 + m 2 w = w 1 + w 2 y = y S + y E x 1 + x 2 = T w y (3) T w y = x 1 [, ] x 1 x 2 x 1 2 y 547

5 2 y 1 y 1 y dx 1 ( x 1 1) ( 1)! dx 1! (11) 2 y 1dx1 (3) i1 x T w y i y =1 1 y =1 1 (4) (5) y (6) ( 1)! =1 (6) = (11) =+1 (7) (6) [] f(x)g(w) f(x) = (x +w+ ) (12) g(w) = w (13) (6)(12)(13) y ( w) w 1 ( 1)! 1 y (7) ( 1)! ( T y) w ( T w y) ( 1)! 1 (14) +1 (5) (8) 1 x i i1 i1 x i x 1 (8) (9) y [, T w] T w 1 ( T y) w T w ( T w y) ( 1)! ( Tw) 1 1 dy ( T w)! (15) x +1 (9) (7) = (Tw) 1 ( x1) y (1) ( 1)! T w 1! T! w! (16) x +1 [,] =2, 3 (15) 548

6 = 2 T w 2 ( 1 ) 2 (17) 1 2 x 1 x 2 = 3 m 1 m 12 m 2 T w 2 3 ( ) 3 (18) w a T a T a T a T a w (14) T a T a T 1 T ( ( )) ( 1) 1 T ( 1) ( T )! (2) = (T) T T T 1 ( 1) 1 T 1 ( 1) ( 1)!! ( 1) ( 1)!! ( 1) (21)! =2, 3 (2) = 2 T a T T a y = w [, T] = 3 T 2 ( 1 ) 2 (22) T T dw T T w ( T w) ( 1)! 1 dw T (23) (19) T T a 549

7 = = = = = 3 6 T = 1 (2) < =.814 = = = T 1 T ( T ) (26) ( 1)! (25) 1 a T a (24) (16) +1 T w ( T w)! (25) x 1 =.188 = (27) (2) 55

8 3 2, 6.5, , 5, 7.5, 1.5, 4, 1.5 1, = 2 3 (24) 1, 2 (i; w i ) w i i (15) max ( i; w ) 2 ( i; w ) 2 ( i;) 2 ( i; w ) (28) wi 2 i i i i w i 8 1, 2 1 = 1, 2 = 2 (28) 1, 2 w 1 w w w 1 1 9: 9:3 1 8:3 9: 2 13: 13:3 2 11:3 12: 3 16:3 17: 3 16: 16:3 1 9: 9:3 1 11:3 12: 2 12:3 13: 2 14:3 15: 3 15: 15:3 3 17: 17: (25) (w 1, w 2 ) 551

9 (B) (12) x 1) Hady, S. L. ad Nimir, D..: asurig ccssibility: Exploratio of Issus ad ltrativs, Eviromt ad Plaig, Vol.29, pp , ) Kwa,.-P: Spac-Tim ad Itgral asurs of Idividual ccssibility: Comparativ alysis Usig a Poit-basd Framwor, Gographical alysis, Vol.3, No.3, pp , ) Gurs, K. T. ad va W, B.: ccssibility Evaluatio of Lad-us ad Trasport Stratgis: Rviw ad Rsarch Dirctios, Joural of Trasport Gography, Vol.12, pp , 24. 4) Has, W. G.: How ccssibility Shaps Lad Us, Joural of th mrica Plaig Istitut, Vol.25, pp.73-76, ) Igram, D. R.: Th Cocpt of ccssibility: Sarch for a Opratioal Form, Rgioal Studis, Vol.5, pp.11-17, ) Vicrma, R. W.: ccssibility, ttractio, ad Pottial: rviw of Som Cocpts ad Thir Us i Dtrmiig obility, Eviromt ad Plaig, Vol.6, pp , ) Wilso,. G.: Family of Spatial Itractio odls, ad ssociatd Dvlopmts, Eviromtal ad Plaig, Vol.3, pp.1-32, ) 55 CD-RO 2. 9) 36 pp ) B-iva,. ad Lrma, S. R.: Disaggrgat Travl obility-choic odls ad asurs of ccssibility, I Bhavioural Travl odlig, Editd by Hshr, D.. ad Storpr, P. R., pp , ) Burs, L. D. ad Golob, T. F.: Th Rol of ccssibility i Basic Trasportatio Choic Bhavior, Trasportatio, Vol.5, pp , ) Koig, J. G.: Idicators of Urba ccssibility: Thory ad pplicatio, Trasportatio, Vol.9, pp , ) Richardso,. J. ad Youg, W.: asur of Lid-Trip ccssibility, Trasportatio Plaig ad Tchology, Vol.7, pp.73-82, ) Hägrstrad, T.: What about Popl i Rgioal Scic?, Paprs of th Rgioal Scic ssociatio, Vol.24, pp.7-21,

10 15) Ltorp, B.: Paths i Tim-Spac Eviromts : Tim Gographic Study of ovmt Possibilitis of Idividuals, Studis i Gography Vol.4, Swd:CWK Glrup, ) illr, H. J.: odllig ccssibility usig Spac-Tim Prism Cocpts withi Gographical Iformatio Systms, Itratioal Joural of Gographical Systms, Vol.5, No.3, pp , ) Dijst,. ad Vidaovic, V.: Idividual ctiospac i th City: I Ettma, D. F., Timmrmas, H. J. P. (Eds), ctivity-basd pproachs to Travl alysis, Pargamo, pp , ) Nimir, D..: ccssibility: Evaluatio usig Cosumr Wlfar, Trasportatio, Vol.24, pp , ) Rcr, W. W., Ch, C., cnally,. G.: asurig th Impact of Efficit Houshold Travl Dcisios o Pottial Travl Tim Savig ad ccssibility Gais, Trasportatio Rsarch, Vol.35, No.4, pp , 21. 2) Vol.15, pp , ) Vol.19, No.3, pp , ) 23) No.23, pp , ) 26, pp , ) Elstr, J.: Sour Graps: Studis i th Subvrsio of Ratioality, Cambridg: Cambridg Uivrsity Prss, ) Elstr, J.: Sour Graps Utilitariaism ad Gsis of Wats, i Utilitariaism ad Byod (ds. S,. ad Williams, B.), ) 54 4 pp , ) No.482/IV-22, pp.47-56, CCESSIBILITY ESURE FOR PUBLIC TRNSPORTTION PLNNING IN RURL RES Kishi TNIOTO, Shuhi KI ad Hidyui KIT Bcaus th rout ad tim of public trasportatio ar grally fixd, th pattrs of th daily lif activitis of usrs ar costraid. Thus th accssibility masur for plaig th public trasportatio should cosidr th costraits. lthough may typs of accssibility masur hav b proposd sic 197, it is ot obvious that thy ca cosidr th spac-tim costraits causd by public trasportatio. This study rviws th applicability of currt accssibility masurs i trms of plaig th public trasportatio ad shows that thy ar ot suitabl. Th w accssibility masur is dvlopd basd o spac-tim prism. lso, w dmostrat th umrical xampls by which w masur is usful for plaig public trasportatio. 553

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