1 12 *1 *2 (1991) (1992) (2002) (1991) (1992) (2002) 13 (1991) (1992) (2002) *1 (2003) *2 (1997) 1

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2005 1 1991 1996 5 i

1 12 *1 *2 (1991) (1992) (2002) (1991) (1992) (2002) 13 (1991) (1992) (2002) *1 (2003) *2 (1997) 1

2 13 *3 *4 200 1 14 2 250m :64.3km 457mm :76.4km 200 1 548mm 16 9 12 589 13 8 50m mm 114mm 15 7 15 5 16 5 *3 (http : //www.mlit.go.jp/river/saigai/tisiki/syozaiti/sinsui/sinsui ref3.html) *4 (http : //www.kensetsu.metro.tokyo.jp/suigai t aisaku/index/menu02.htm) 2

3 3.1 3.2 *5 P h i P = p(h 1,...,h n ) (1) 2001 *5 (1989) 3

1991 5 2001 706 200 119 61 20 906 176 37 64 75 478 372 53 56 263 0.5m 0.2 0.5 0.5 1.0 1.0 *6 *7 1 2 1 2 1 2 *6 (2002 7 ) 8 30 *7 (2002) 4

*8 P i = α + 3X j=1 β j F ji + X m γ m X mi + δ Dλ i 1 λ + ² i (2) P i F ji i j X mi D i ² i 3.3 2001 Number of obs =1835 F( 28, 1806) =467.78 Adj R-squared =0.8769-5107.1 3778.8-1.35-18345.2 4303.0-4.26-24986.9 5100.4-4.90-3912.0 120.8-32.40 boxcox -1037.6 54.9-18.91 0.5282 161.3 36.6 4.40 655444.7 12827.5 51.10 18 25 0.88 *9 *8 *9 2001 8 2001 5

Number of obs =706 F( 23, 682) =89.22 Adj R-squared =0.7421-7444.2 4991.6-1.49-4218.3 363.9-11.59 (boxcox) -16.7 2.3-7.39 1.172215 300.0 72.4 4.14 610778.6 49880.3 12.24 Number of obs =906 F( 18, 887) =479.17 Adj R-squared =0.9049-21691.4 3829.5-5.66-4220.4 143.7-29.37 (boxcox) -787.2 55.2-14.25 0.5500 197.0 64.9 3.04 574720.7 12331.4 46.61 Number of obs =478 F( 17, 460) =206.92 Adj R-squared =0.8801-25507.4 4391.7-5.81-3765.4 257.6-14.61 (boxcox) -9484.5 574.9-16.50 0.2270 57.6 39.2 1.47 859487.4 23865.8 36.01 3X 3X P i = α + j=1 d=1 β jd F jdi + X m γ m X mi + δ Dλ i 1 λ + ² i (3) 6

F jdi j d Number of obs =1835 F( 34, 1800) =386.01 Adj R-squared =0.8771-1511.7 4684.7-0.32-10713.0 6233.3-1.72-9275.5 10539.6-0.88-17454.5 7878.5-2.22-24464.9 6277.4-3.90-13492.0 6095.9-2.21-12647.4 8412.8-1.50-17584.0 7748.5-2.27-27101.0 5283.8-5.13-3915.1 121.3-32.27 (boxcox) -1026.1 54.4-18.86 0.5297 163.2 36.7 4.45 653577.9 12867.8 50.79 50cm 1991 1991 1996 2001 430 700 706 123 204 200 554 899 906 105 171 176 298 473 478 234 367 372 1117 1819 1835 1991 1991 1991 0.66 7

1991 1996 2001-13376.8-10310.5-5107.1 (-0.43) (-2.07) (-1.35) -95333.7-23321.1-18345.2 (-2.66) (-4.05) (-4.26) -88993.8-15692.2-24986.9 (-2.18) (-2.32) (-4.90) -10362.8-3825.2-3912.0 (-10.46) (-23.94) (-32.40) (boxcox) -33267.8-1798.0-1037.6 (-7.71) (-16.87) (-18.91) 0.1929 0.4736 0.5282 766.4 306.9 161.3 (2.47) (6.33) (4.40) 2784811 705134.7 655444.7 (22.78) (41.64) (51.10) adj 0.6584 0.8283 0.8769 ( ) 8

4 4.1 0.1ha 10 2000 1999 1998 1997 1996 (96-00) 105 342 73 25 27 55 (122) (430) (88) (28) (27) 1995 1994 1993 1992 1991 (91-95) 31 47 102 20 128 31 (31) (51) (112) (20) (158) 4.2 *10 P i X mi D i ² i E ki i k P i = α + β 5X k=1 E ki + X m γ m X mi + δ Dλ i 1 λ + ² i (4) *10 (1992) 11 1 11 4 9

P i = α + β 5X ( 6 k )E ki + X 5 m k=1 γ m X mi + δ Dλ i 1 λ + ² i (5) 2001 1996 2001 Number of obs = 1485 F( 24, 1460) = 426.02 Adj R-squared = 0.8730 F( 24, 1460) = 425.84 Adj R-squared = 0.8729 (boxcox) 1-6405.7-4132.2-1097.9 0.5324 197.5 663895.7 (-4.19) (-30.01) (-16.52) (4.84) (45.66) 2-7982.4-4141.0-1083.3 0.5347 196.7 664156.3 (-4.12) (-30.03) (-16.56) (4.82) (45.64) 1996 Number of obs = 1476 F( 24, 1451) = 267.70 Adj R-squared = 0.8127 F( 24, 1451) = 267.16 Adj R-squared = 0.8124 (boxcox) 1-9078.1-4021.8-1954.2 0.4657 314.4 712659.1 (-3.38) (-21.67) (-13.92) (5.53) (36.51) 2-16067.2-4009.5-1930.8 0.4680 315.2 711459 (-3.00) (-21.60) (-13.95) (5.54) (36.45) 2001 1996 5 3 P i = α + βe i + X m γ m X mi + δ Dλ i 1 λ + ² i (6) E i i 2001 Number of obs = 1485 F( 24, 1460) = 422.40 Adj R-squared = 0.8720 3-17805.5 7003.0-2.54-4118.8 138.3-29.78 (boxcox) -944.5 57.3-16.48 0.5546 195.8 41.0 4.78 658021 14502.5 45.37 10

1996 5 3 Number of obs = 1476 F( 24, 1451) = 265.61 Adj R-squared = 0.8115 3-17598.8 12161.3-1.45-3993.0 186.0-21.47 (boxcox) -1827.3 131.8-13.87 0.4755 328.2 56.9 5.77 705927.1 19462.7 36.27 2001 1996 2001 5 3 Number of obs = 706 F( 23, 682) = 89.33 Adj R-squared = 0.7424 3-16331.7 9708.6-1.68-4295.2 369.2-11.63 (boxcox) -19.2 2.6-7.47 1.1526 297.5 72.4 4.11 614091.8 49900.8 12.31 11

5 5.1 2001 21082 7958 4066 2935 957 (491) (191) (103) (62) (26) 15764 6249 1116 2124 3009 (311) (104) (13) (35) (56) 17830 13988 1130 1202 11656 (349) (286) (27) (25) (234) *11 log P i = α + X j β j F ji + X m γ m log X mi + X k δ k D ki + ² i (7) P i i F ji i j X mi i D ki i *11 12

5.2 3.6 5.7 Number of obs = 40403 F( 32, 40370) = 6712.14 Adj R-squared = 0.8417-0.0002 0.0018-0.12-0.0568 0.0023-24.20-0.0357 0.0024-15.11 1.0288 0.0037 274.85 0.0103 0.0002 68.58-0.1163 0.0017-68.87-0.0054 0.0011-49.16 4.3720 0.0168 259.69 Number of obs = 21082 F( 28, 21053) = 4606.03 Adj R-squared = 0.8595-0.0010 0.0020-0.52 1.0119 0.0048 211.22 0.0100 0.0002 43.02-0.0795 0.0021-38.37-0.0425 0.0014-29.65 4.3272 0.0218 198.41 Number of obs = 15764 F( 21, 15742) = 4938.43 Adj R-squared = 0.8680-0.0269 0.0023-11.51 1.0617 0.0057 185.65 0.0084 0.0002 37.04-0.2144 0.0036-59.87-0.0878 0.0019-46.42 4.5974 0.0278 165.26 Number of obs = 17830 F( 20, 17809) = 3492.44 Adj R-squared = 0.7966-0.0330 0.0025-13.18 1.0374 0.0061 170.81 0.0117 0.0002 57.66-0.0756 0.0027-28.43-0.0439 0.0014-30.67 4.0019 0.0282 141.75 13

10 10 Number of obs = 38646 F( 31, 38614) = 5782.70 Adj R-squared = 0.8226-0.0021 0.0018-1.15-0.0567 0.00231-24.36-0.0323 0.0024-13.43 1.0683 0.0038 283.61 0.0100 0.0001 67.23-0.1314 0.0017-75.96-0.0952 0.0033-28.89-0.0619 0.0011-56.21 3 11 11 Number of obs = 40403 F( 38, 40364) = 5698.80 Adj R-squared = 0.8427 0.0025 0.0022 1.11 0.0056 0.0026 2.13-0.0268 0.0043-6.19-0.0832 0.0041-20.13-0.0248 0.0034-7.41-0.0662 0.0029-22.95-0.0194 0.0045-4.28-0.0548 0.0042-12.98-0.0327 0.0024-13.39 1.0305 0.0037 275.55 0.0102 0.0002 67.49-0.1166 0.0017-68.65-0.0545 0.0011-49.56 4.3634 0.0168 259.30 14

12 Number of obs =31411 F( 32, 31378) = 5114.86 Adj R-squared = 0.8390 Number of obs =5644 F( 31, 5612) = 1106.89 Adj R-squared = 0.8587 Number of obs =3348 F( 31, 3316) = 660.43 Adj R-squared = 0.8593-0.0069-0.0593-0.0364 1.0298 0.0087-0.1190-0.0564 4.3852 (-3.43) (-22.37) (-14.19) (244.91) (51.32) (-62.31) (-47.37) (232.70) 0.0104-0.0551-0.0362 1.0109-0.1050-0.0458 4.4677 (2.13) (-8.58) (-5.06) (99.16) (-23.49) (-13.90) (96.98) 0.0438-0.0257-0.0378 1.0757-0.1107-0.0494 4.1599 (6.45) (-3.25) (-3.72) (81.65) (-18.60) (-10.54) (69.90) 12 ( 13(A)) ( 13(B)) ( 13(C)) ( 13(B)) ( 13(C)) ( 13(D)) 15

13-0.0002-0.0568-0.0357 (A) 4227.6 4221.0 3634.4-0.9-239.8-129.8 (B) 54.8 70.6 68.2 1567.2 2916.9 1851.7 28.6 41.3 27.2 (C) -316.8-58019.1-47820.7 (D) 16

6 6.1 2000 1999 1998 1997 1996 (96-00) 2162 4555 1580 464 634 534 (45) (118) (27) (12) (9) (12) 2861 5911 1610 518 634 (55) (153) (28) (13) (9) 6.2 P i X mi D ki ² i (7) E ki i k 5X log P i = α + β E ki + X γ m log X mi + X δ k D ki + ² i (8) k=1 m k log P i = α + β 5X ( 6 k )E ki + X γ m log X mi + X 5 m k k=1 14 δ k D ki + ² i (9) 14 Number of obs = 31928 F( 28, 31899) = 6331.26 Adj R-squared = 0.8474 F( 28, 31899) = 6330.70 Adj R-squared = 0.8474-0.0016 1.0203 0.0100-0.1193-0.0534 4.3989 (-1.66) (250.83) (54.03) (-68.38) (-43.97) (241.32) 0.0007 1.0202 0.0100-0.1187-0.0537 4.3981 (0.61) (250.80) (53.94) (-68.05) (-44.10) (241.26) 17

15 15 Number of obs = 31928 F( 28, 31899) = 6352.39 Adj R-squared = 0.8478-0.0579 0.0060-9.64 1.0198 0.0041 251.05 0.0101 0.0002 54.19-0.1216 0.0017-69.52-0.0524 0.0012-43.20 4.4073 0.0182 241.85 16 16 Number of obs =24712 F( 28, 24683) = 4830.30 Adj R-squared =0.8455 Number of obs = 4555 F( 27, 4527) =1080.23 Adj R-squared =0.8648 Number of obs = 2661 F( 27, 2633) = 616.63 Adj R-squared =0.8620-0.0599 1.0190 0.0081-0.1219-0.0549 4.4321 (-8.76) (223.08) (38.70) (-61.57) (-41.59) (216.85) -0.0554 1.0062-0.1148-0.0415 4.4782 (-3.68) (91.45) (-24.95) (-11.42) (90.25) -0.0516 1.0828-0.1201-0.0522 4.1427 (-2.41) (76.26) (-19.57) (-10.03) (64.60) 15 ( 17(A)) ( 17(B)) ( 17(C)) 18

( 17(B)) ( 17(C)) ( 17(D)) 17-0.0579 (A) 4159.6-240.9 (B) 59.8 1975.8 33.0 (C) -72968.5 (D) 19

7 95% 18 18 95% -5107.1-12518.4 2304.1-18345.2-26784.51-9905.9-24986.9-34990.4-14983.5 1km 2 9,906 26,785 1km 2 14,983 34,990 95% 1km 2 5,107 20

8 1991 1996 5 21

2003 1989 2002 1997 1991 1992 2002 ( ) 22

23