181 GPS 1 2 3 4 1 98-845 468-1 S-52W E-mail: h-ymgc@plan.civil.tohoku.ac.jp 2 98-845 468-1 S-52W E-mail: mokmr@m.tohoku.ac.jp 3 18-626 2 15-3 C 6F E-mail: h kaneda@zenrin-datacom.net 4 18-626 2 15-3 C 6F E-mail: k habu@zenrin-datacom.net GPS R 28 3 1) 12. 1 2) 16.4 1 3) 5.7 2 Key Words: mobile phone GPS data, H.28 Kumamoto Earthquake, disaster recovery process 1. Gonzalez et al. (28) 1) Rhee and Lee (28) 2) Song et al.(21) 3) Hara and Kuwahara (215) 4) Song et al. (214) 5) Bagrow et al.(211) 6) 216 4 14 28 (216) 7) R 1 25m 4 (216) 7) R 5-7 1/2 1 1 R 1314
R ID ID Bruneau 8) 9)1)11) R 28 3 4 2 R 2.(2) NTT 28 3 1) 12. 3 1 2) 16.4 3 1 3) 5.7 2 R 2. R 3. 215 4. 5. 2. R (1) R R R NTT GPS 12) ID NTT 5 GPS 215 4 1 215 6 3 216 4 1 216 6 3 3 4 (2) 2 2 ID 3 13) 1315
NTT a) ID A) B) C) 3 A) 3m 15 3 1 1 C) 3 24 A) C) B) b) A) A-1) A-2) A-3) 3 ID 1 6m 6m 3 2 1 3 15 ID 2 min(5, /3) ID c) ID A-1) A-2) A-3) B) C) 5 215 216 4 5 ID C) 4 ID 3. (1) 1 3) 6, 8, 4, 5, GPS 4 4 1 2, 3, 1,5 2, 6% 4 2 1 1,2 1316
1 sample user num. 8 6 4 2 215/4/1 5/1 6/1 216/4/1 5/1 6/1 observation 1 6 ) 2 15 1 5 condition rate 1.8.6.4.2 215/4/1-6/3 216/4/1-6/3 period 3 6 9 12 15 18 21 (hour) 2 3 215/4-6 (2) 2 2 6m 216 215 1 1 3 215 3 77.3% 15 41.% 2 9 18 (3) a) d t k P d,t (k) exp(α k,t P d,t (k) = σ d,t) k K exp(α k,t σ d,t). (1) 1317
1 σ 1 1 6 5 5,1 3 1 1, 2 2 3 216 1 5 6 2 1 19 σ d,t {, 1} α k,t α k,t σ d,t (d, t) k K 3 4 α k,t α { } = b) R σ d,t AIC α k,t t α t 215 216 d D t k N k,d,t ( ) α t = argmin (N k,d,t ln P d,t (k)). (2) k K d D σ d,t 1 19 3 57 t 24 2 5 Residual Deviance Null Deviance.83.97 c) 2 num. R.D. N.D. R.R. of par. ( 1 3 ) ( 1 3 ) 51 1.3 9.25.86 1 51 1.24 8.77.86 2 54 1.49 8.88.83 3 54 1.39 8.46.84 4 54 1.3 8.14.84 5 48 1.22 8.4.85 6 51 1.24 8.46.85 7 48 1.31 16.82.92 8 48 1.57 36.7.96 9 51 1.49 43..97 1 48 1.58 39.33.96 11 51 1.58 37.41.96 12 51 1.73 37.27.95 13 51 1.77 37.75.95 14 51 1.88 36.8.95 15 54 1.85 36.9.95 16 48 1.95 37.44.95 17 54 1.96 37.22.95 18 54 2.6 26.22.92 19 48 1.72 17.3.9 2 51 1.34 11.54.88 21 51 1.23 9.84.87 22 51 1.26 9.8.87 23 48 1.28 9.8.87 R c Zenrin DataCom Co., Ltd. num. of par.: R.D.: Residual deviance N.D.: Null deviance R.R.: 1 - (R.D./N.D.) 4 2 1 2 7,8 18 1318
.1.5 215/4/1 4/15 5/1 5/15 6/1 6/15 6 215 cum. rate 1.8.6.4.2 3 6 9 12 15 18 21 hour 4 cum. rate 1.8.6.4.2 3 6 9 12 15 18 21 hour 5 215-216 12-15 1 5 215 216 2 3 5 215<216 215<216 R 1 d) P d,t (k) ϵ(d, t) = 1 N k,d,t 2 k K k K N P d,t (k). (3) k,d,t 6 215 4 1 215 6 3 23 (3) 3% 5 1 5% 4. (1) 1319
.1.5 4/1 4/15 5/1 5/15 6/1 6/15 7 216.1.1.5.5 8 9 7 216 4 1 216 6 3 23 4 14 5 9 6 5/9 R 7 4 8 9 8 4 16 15 9.25% 4 26 2 4.2 16.8 14 4 1 9 4 16 18 6.39% 4 18 2 3.1 7.6 14 4 3 5 5 6 132
.1 -.1 216/4/1 4/15 5/1 5/15 6/1 6/15 1 216.1.1 -.1 -.1 11 12 (2) ϵ k(d, t) = N k,d,t k K N k,d,t P d,t (k). (4) a) 1 2 11 4-6.6% 1 14 +9.% 1 12 2 b) 13 3 14 4 +6.6% 14-2.3% 1321
.1 -.1 216/4/1 4/15 5/1 5/15 6/1 6/15 13 216.1.1 -.1 -.1 14 15 15 2 12. 3.5 1 16.4 3.1 1 5.7 3. 2 c) 16 4 1 1 4/15 216 4 4 d) 17 2 5. R 28 215 4 1322
.1 -.1 216/4/1 4/15 5/1 5/15 6/1 6/15 16 216.1 -.1 216/4/1 4/15 5/1 5/15 6/1 6/15 17 6 216 4 6 1 1) 12. 3.5 1 2) 16.4 3.1 1 3) 5.7 3. 2 3 a) b) c) 15J3532 NTT 1323
1) Gonzalez, M.C., Hidalgo, C.A. and Barabási, A.-L. : Understanding Individual Human Mobility Patterns, Nature, Vol.453, pp.779-782, 28. 2) Rhee, I. and Lee, K.: On the Levy-Walk nature of Human mobility, IEEE INFCOM proceedings, pp.924-932, 28. 3) Song, C., Qu, Z., Blumm, N. and Barabási. A.-L.: Limits of Predictability in Human Mobility, Science Translational Medicine, Vol.327, pp.118-121, 21. 4) Hara, Y. and Kuwahara, M. : Traffic Monitoring immediately after a major natural disaster as reveald by probe data A case in Ishinomaki after the Great East Japan Earthquake, Transportation Research Part A, Vol.75, pp.1-15, 215. 5) Song, X., Zhang, Q., Sekimoto, Y. and Shibasaki, R.: Traffic Monitoring immediately after a major natural disaster as reveald by probe data A case in Ishinomaki after the Great East Japan Earthquake, proc. of 2th SIGKDD conference on Knowledge Discovery and Data Mining, pp.5-14, 214. 6) Bagrow, J.P., Wang, D. and Barabási. A.-L.: Collective Response of Human Populations to Large-Scale Emergencies, PLoS ONE, Vol.6, No.3, e1768, 211. 7) : 28, (http://sekilab.iis.u-tokyo.ac. jp/wp-content/uploads/zdckumamoto1652.pdf, last access: 216/7/19). 8) Bruneau, M., Chang, S. E., Eguchi, R. T., Lee, G. C., O Rourke, T. D., Reinhorn, A. M., Shinozuka, M., Tierney, K., Wallace, W. A. and von Winterfeldt, D.: A framework to Quantitatively Assess and Enhance the Seismic Resilience of Communities, Earthquake Spectra, Vol.19, No.4, pp.733-752, 23. 9) :,, Vol.5, No.3, pp.42-48, 215. 1) Bengtsson, L., Lu X., Thorson, A., Garfield, R. and von Schreeb, J.: Improved Response to Disasters and Outbreaks by Tracking Population Movements with Mobile Phone Network Data: A Post-Earthquake Geospatial Study in Haiti, PLoS Medicine, Vol.8, No.8, e11838, 211. 11) Lu, X., Bengtsson, L. and Holme, P.: Predictability of population displacement after the 21 Haiti earthquake, Proceedings of the National Academy of Sciences, Vol.19, No.29, pp.11576-11581, 212. 12) NTT : GPS, (http://www.nttdocomo. co.jp/service/auto_gps/index.html, last access: 216/7/15). 13) NTT :, (http://dmapnavi.jp/stc/statistics/index. php, last access: 216/7/15). 14) : 28 72, (http://www.pref.kumamoto. jp/kiji_15459.html, last access: 216/7/25). (July 29, 216 ) Damage and Recovery Process of Kumamoto Earchquake in Daily Staying Patterns: Observation by Mobile Phone GPS Data Hiromichi YAMAGUCHI, Makoto OKUMURA, Hodaka KANEDA and Kyosuke HABU 1324