curah hujan 2000-2010(rhesty)

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DATA CURAH HUJAN HARIAN RATA-RA JAKARTA SELATAN 2000 - 2010 TAHUN 2000 JAN FEB MAR APR MEI JUNI JULI AGS SEP 11 3 58 37 35 4 4 28 80 3 17 2 2 33 7 14 30 2 14 13 9 24 2 5 5 1 2 3 20 10 16 2 32 5 3 2 24 15 19 50 7 2 15 7 19 10 3 25 14 4 2 3 54 1 14 14 12 3 3 53 42 18 4 4 9 11 12 26 1 4 6 10 5 57 2 19 33 16 12 5 3 3 30 5 2 53 15 4 2 13 21 5 7

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Page 1: CURAH HUJAN 2000-2010(RHESTY)

DATA CURAH HUJAN HARIAN RATA-RATAJAKARTA SELATAN 2000 - 2010

TAHUN 2000JAN FEB MAR APR MEI JUNI JULI AGS SEP OKT NOV DES11 3 58 237 35 44 28 80 3 17 2 602 33 7 14 30 2 2014 13 9 24 2 10 35 5 1 2 3 1320 10 16 2 1732 5 32 2415 19 50 7 16 62 15 7 319 10 3 25 2 214 4 2 3 54 15

41 14 7

1 114 12 35 60 2

273 3 13

53 4218 4 4

9 11 912 26

1 4 19 36 10 2 5 7

5 1 457 2 19 33 16 1 5 1012 5 3 3 30 6 14 125 2 53 15 4 5

2 13 421 5 7

Page 2: CURAH HUJAN 2000-2010(RHESTY)

DATA CURAH HUJAN HARIAN RATA-RATAJAKARTA SELATAN 2000 - 2010

TAHUN 2001JAN FEB MAR APR MEI JUNI JULI AGS SEP OKT NOV DES

5 8 213 8 28 17 2 124 8

1 1 1210 76 46 11

2 1 5 315 66 1 2 55 7

9 2 2 59 40 140 16 1 50

8 24 3 64 247 2 7 16 15 3 1215 4 50 2

14 10 8 2 1 3 13 3 1 51 13 1 10 208 45 2 10 1 15 60

15 2 29 1 40 2 72 3 7 20 62 75 14 4 8 4

18 36 6 25 2 4 112 6 6 22 11 5 5 32 3

3 260 23 3 23 17 6

14 11 3 11 9 32 1

11 12 36

30 2 21 1 10 28 22 2 2 41

Page 3: CURAH HUJAN 2000-2010(RHESTY)

DATA CURAH HUJAN HARIAN RATA-RATAJAKARTA SELATAN 2000 - 2010

TAHUN 2002JAN FEB MAR APR MEI JUNI JULI AGS SEP OKT NOV DES29 67 45 628 56 17 42 10 117 22 47 37 116 16 16 26 43 18 5 512 13 2 16 40 9 5519 3 2832 31 10 56 16 37 8 1 101 21 7 2

48 1542 5 36 167 12 128 3 1 117 11 34 56 62 1 38 7 3 19 2 34 551 7 4112 8 1864 1 178111 1215 3 2 98342 3 54790 198 6

Page 4: CURAH HUJAN 2000-2010(RHESTY)

DATA CURAH HUJAN HARIAN RATA-RATAJAKARTA SELATAN 2000 - 2010

TAHUN 2003JAN FEB MAR APR MEI JUNI JULI AGS SEP OKT NOV DES

Page 5: CURAH HUJAN 2000-2010(RHESTY)

DATA CURAH HUJAN HARIAN RATA-RATAJAKARTA SELATAN 2000 - 2010

TAHUN 2004JAN FEB MAR APR MEI JUNI JULI AGS SEP OKT NOV DES

Page 6: CURAH HUJAN 2000-2010(RHESTY)

DATA CURAH HUJAN HARIAN RATA-RATAJAKARTA SELATAN 2000 - 2010

TAHUN 2005JAN FEB MAR APR MEI JUNI JULI AGS SEP OKT NOV DES3 17 58 67 2

3 164 30 6

5 47 7 3 1116 2 6 6 4

15 32 43 14 362 5 302 18 14 513 4 2 1

4 5152 2 3

3 10 1 2 5 4 1 4 5334 28 16 24 19 2 68 1 4 8 3

8 3 24 57 1 4 123 3 18 29 28 40 1

28 40 2 100 260 50 12 5 268 14 2 2 13 12 52 2 2 16 20 22 10 30 20

20 8 228 7 6 27 919 39 1 28 1 45 3039 14 17 144 3 2 22 7 49 31

8 73 2 14 4

22 2 2 287 3 5 21 2

Page 7: CURAH HUJAN 2000-2010(RHESTY)

10

DATA CURAH HUJAN HARIAN RATA-RATAJAKARTA SELATAN 2000 - 2010

TAHUN 2006JAN FEB MAR APR MEI JUNI JULI AGS SEP OKT NOV DES1 3 38 10 6

13 11 5 97 23 5

2 19 193 2 2 13

138 15 49

4 52 19 2 49 41 10

711 8 7 61 233 5 72 6 391 5 3 340 2 23 432 346 10 4 9271 173 23 9 1420 59 2 16

30 2 23 4 7 59 15 21 3 1018 5 32 327 38 31 4 113 9 538 11 31 516 10 2 24 7

Page 8: CURAH HUJAN 2000-2010(RHESTY)

23 41 8 11 8 21 74 10 19 33

5 2 20 14 35

DATA CURAH HUJAN HARIAN RATA-RATAJAKARTA SELATAN 2000 - 2010

TAHUN 2007JAN FEB MAR APR MEI JUNI JULI AGS SEP OKT NOV DES4 82 5 2 2 1226 178 5 2 5 57 4

86 14 12 32 33 3 3 6 109

26 4 52 11 1576 12 35 6 53 3 21 4 4 25 5858 6 73 4 7258 18 52 3 5 8 27

30 3 4 193 47 49

5 3 28 39

4 3 4 16 213 7 2 4 27 16

5 29 8 11 4342 6

8 14 1 234 5 5 4 3719 2 2 3 9 21

6 5 3 11 20 5821 3 7 411 12 4 3 3637 24 21 23

42 27 3 1783 5 41 1 19 9

Page 9: CURAH HUJAN 2000-2010(RHESTY)

6 1513 4 4

21 56 94 10 16 347 8 4 2

DATA CURAH HUJAN HARIAN RATA-RATAJAKARTA SELATAN 2000 - 2010

TAHUN 2008JAN FEB MAR APR MEI JUNI JULI AGS SEP OKT NOV DES17 18 35 2 26 29 4 336 168 5 311 88 436 2 15 32 33 5 9 4 14 11 611 49 15 12 4 17 418 14 2 51 10 6

39 66 5 1319 5 1446 7 3922 8 40 28 4 175 4 32 3 215 90 8 5 38 14 21 3 319 6 5 19 14 520 4 3 4 12 2121 4 2 407 1 737 7 5 3 24 8 7 612 12 9 45 8 6

4 2 10 10 146 2 8 5

Page 10: CURAH HUJAN 2000-2010(RHESTY)

8 10 714 4 29 8 442 2 39 1112 8 11 28 7 5 33 13

15 14 1412 21

DATA CURAH HUJAN HARIAN RATA-RATAJAKARTA SELATAN 2000 - 2010

TAHUN 2009JAN FEB MAR APR MEI JUNI JULI AGS SEP OKT NOV DES

12 9 43 9 710 38 4 3

19 322 4 20 3 26 424 11 19 2018 45 51 56

7 9 87 28 165 6

17 3 3 314 5 10 10 503 2 6 8 15 26 2 4 48 3859 14 41 229 25 1 5 4865 24 21 152 9 6 624 4 61 38 7 2112 293 3 1010 45 22 77

Page 11: CURAH HUJAN 2000-2010(RHESTY)

2 5 4 402 17 18 214 3 28 5

11 42 10 23 105 3 6 29 53 45 39 13 2

202 129 2

DATA CURAH HUJAN HARIAN RATA-RATAJAKARTA SELATAN 2000 - 2010

TAHUN 2010JAN FEB MAR APR MEI JUNI JULI AGS SEP OKT NOV DES3 1 7 4

4 19 9 2 25 18 5 3 50 26

7 35 62 29 84 40 38 38

1 9 2 30 5020 8 40 58 73 9

23 1 28 24 35 2 8 19 30 28 4 40 13 21 4435 4 40 25 4

3 20 43 1 2 11 1 1 20 10 8 12 710 19 14 4 1 1 0 15 1031 1 7 20 4 4 57 316 17 4 4 11 20 20 4 69 37 10 9 4 12 0 311 1 31 6 231 78 1 16 64 105 3 1 4 2 23 8

Page 12: CURAH HUJAN 2000-2010(RHESTY)

18 6 2 9 513 9 2 9 27 30 5 28 87 14 18 4 0 8 20

1 15 8 4 37 1 123 3 16

2 25 7 39 2 3 119 42 1 1 2 1 3 49 18 74 12 21 35 4 28 10

1 173 5 4 729 8 26

Page 13: CURAH HUJAN 2000-2010(RHESTY)

Tahun Curah Hujan2000 802001 1242002 902003 952004 1272005 1002006 722007 1782008 1682009 872010 119

no R (mm) Tr P (Xi-Xa) (Xi-Xa)^2 KtNormal

Xt Deviasi Kuadrat1 72 12.0 0.08 -40.73 1658.71 1.35 159.70 7691.062 80 6.0 0.17 -32.73 1071.07 0.93 144.97 4220.843 87 4.0 0.25 -25.73 661.89 0.67 136.00 2401.444 90 3.0 0.33 -22.73 516.53 0.41 127.06 1373.715 95 2.4 0.42 -17.73 314.26 0.20 119.68 608.896 100 2.0 0.50 -12.73 161.98 0.00 112.73 161.987 119 1.7 0.58 6.27 39.35 -0.22 105.21 190.248 124 1.5 0.67 11.27 127.07 -0.44 97.40 707.709 127 1.3 0.75 14.27 203.71 -0.67 89.62 1396.99

10 168 1.2 0.83 55.27 3055.07 -1.00 78.08 8084.8211 178 1.1 0.92 65.27 4260.53 -1.39 64.28 12932.75

12070.18 Total 39770.43Average = Xa 112.73 Deviasi 63.06Stdev 34.74 % ErrorCount 11Skew 0.91Sy = Si 0.13

F29
diana: S
Page 14: CURAH HUJAN 2000-2010(RHESTY)

NormalY (Yi-Ya) (Yi-Ya)^2

Log NormalPersentase Error Yt Xt Deviasi Kuadrat Persentase Error

121.80 1.86 -0.18 0.0314 2.2064 160.85 7893.62 123.4081.21 1.90 -0.13 0.0173 2.1525 142.08 3853.55 77.6056.33 1.94 -0.10 0.0090 2.1197 131.74 2002.11 51.4341.18 1.95 -0.08 0.0065 2.0870 122.19 1036.04 35.7625.97 1.98 -0.06 0.0032 2.0600 114.82 392.66 20.8612.73 2.00 -0.03 0.0012 2.0346 108.29 68.70 8.2911.59 2.08 0.04 0.0017 2.0071 101.64 301.30 14.5921.45 2.09 0.06 0.0035 1.9785 95.17 831.12 23.2529.43 2.10 0.07 0.0048 1.9501 89.14 1433.47 29.8153.52 2.23 0.19 0.0364 1.9079 80.88 7589.47 51.8663.89 2.25 0.22 0.0466 1.8573 72.00 11235.46 59.55

519.11 2.03 0.1615 Total 36637.50 496.39Deviasi 60.53

47.19 % Error 45.13

K29
diana: Ya
M29
diana: S
Page 15: CURAH HUJAN 2000-2010(RHESTY)

Gumbel Log PersonYt Yn Sn Xt Deviasi Kuadrat Presentase Error Log X (Log X - Log Xa)^3

2.442 0.4996 0.9676 182.4599 12201.40 153.42 1.86 -0.0055691.702 0.4996 0.9676 155.8995 5760.73 94.87 1.90 -0.0022741.246 0.4996 0.9676 139.5235 2758.72 60.37 1.94 -0.0008590.903 0.4996 0.9676 127.2015 1383.95 41.34 1.95 -0.0005190.618 0.4996 0.9676 116.9801 483.13 23.14 1.98 -0.0001840.367 0.4996 0.9676 107.9487 63.18 7.95 2.00 -0.0000410.133 0.4996 0.9676 99.56416 377.75 16.33 2.08 0.000069-0.094 0.4996 0.9676 91.41205 1061.97 26.28 2.09 0.000204-0.327 0.4996 0.9676 83.06091 1930.64 34.60 2.10 0.000332-0.583 0.4996 0.9676 73.84886 8864.44 56.04 2.23 0.006938-0.910 0.4996 0.9676 62.10643 13431.32 65.11 2.25 0.010055

Total 48317.24 579.45 2.03 0.008152Deviasi 69.51% Error 52.68

X29
diana: log Xa
Y29
diana: S
Page 16: CURAH HUJAN 2000-2010(RHESTY)

Log Person HaspersG Log Xi Deviasi Kuadrat Presentase Error μ R Deviasi Kuadrat

1.350358 2.206202 4871.174286521 96.935831025753 1.43 -49.25253 14702.174880110.928765 2.152621 6060.214453268 97.309224039814 0.81 -27.89828 11642.039589720.557068 2.105381 7207.096283203 97.580021487379 0.44 -15.15462 10435.567031860.274784 2.069505 7731.771890822 97.700549620134 0.17 -5.855195 9188.2184678690.105413 2.04798 8640.078066062 97.84423182798 -0.04 1.377693 8765.13636537-0.007501 2.033629 9597.40977289 97.966370622221 -0.22 7.577312 8541.953335277-0.007501 2.033629 13681.13185653 98.291067749766 -0.39 13.43251 11144.49560215-0.007501 2.033629 14875.79556276 98.359976308243 -0.54 18.59886 11109.40122191-0.007501 2.033629 15616.59378649 98.398717025371 -0.696667 23.99482 10610.0671079-0.007501 2.033629 27544.83617751 98.789506322751 -0.85 29.27598 19244.35468252-0.007501 2.033629 30964.16358996 98.857511585518 -1.042727 35.91395 20188.44504192

Total 146790.27 1078.03 Total 135571.85Deviasi 121.16 Deviasi 111.01% Error 98.00 % Error

Page 17: CURAH HUJAN 2000-2010(RHESTY)

HaspersPersentase Error168.40628507295134.87285441831117.41910707428106.5057725663898.54979682730992.42268842268888.71217908651185.00092283083581.10644094896182.57382348291479.823622483108

1135.39

103.22

Page 18: CURAH HUJAN 2000-2010(RHESTY)

Nilai Variabel Reduksi Gauss Utk Interpolasi

No.Periode Ulang

PeluangTr = 12

T tahun Kt = 1.3521 1.001 0.999 -3.05 117.5002 1.005 0.995 -2.58 50.000 Tr = 63 1.010 0.990 -2.33 17.250 Kt = 0.9284 1.050 0.950 -1.64 6.0005 1.110 0.900 -1.28 3.143 Tr = 46 1.250 0.800 -0.84 2.125 Kt = 0.677 1.330 0.750 -0.67 1.5008 1.430 0.700 -0.52 1.125 Tr = 39 1.670 0.600 -0.25 0.758 Kt = 0.412651

10 2.000 0.500 0 0.50011 2.500 0.400 0.25 0.325 Tr = 2.412 3.330 0.300 0.52 0.224 Kt = 0.213 4.000 0.250 0.67 0.17014 5.000 0.200 0.84 0.088 Tr = 215 10.000 0.100 1.28 0.036 Kt = 016 20.000 0.050 1.64 0.01417 50.000 0.020 2.05 0.006 Tr = 1.71428618 100.000 0.010 2.33 0.003 Kt = -0.2164519 200.000 0.005 2.58 0.00120 500.000 0.002 2.88 0.000 Tr = 1.521 1000.000 0.001 3.09 0.003 Kt = -0.44125

Sumber: Suripin, 2004

* digunakan utk Metode Normal & Log Normal Tr = 1.333333Kt = -0.665

Tr = 1.2Kt = -0.997143

Tr = 1.090909Kt = -1.394545

KT* KT*/T

Page 19: CURAH HUJAN 2000-2010(RHESTY)

Cs = 0.044123

Nilai G interpolasi antara Coef Cs 0.0 - 0.12 5 10 25 50 100

0 0 0.842 1.282 1.751 2.054 2.3260.044123 ### 0.839353 1.286412 1.766002 2.077385 2.358651

0.1 -0.017 0.836 1.292 1.785 2.107 2.4

Tr G1.090909 ###

1.2 ###1.333333 ###

1.5 ###1.714286 ###

2 ###2.4 0.1054133 0.2747844 0.5570685 0.8393536 0.928765

10 1.28641212 1.35035825 1.766002

Page 20: CURAH HUJAN 2000-2010(RHESTY)

Standard Variable untuk setiap harga Return Period

T = Return Period dan μ = Standard Variate TrT μ T μ T μ T μ 12

1.00 -1.86 6 0.81 38 2.49 94 3.37 61.01 -1.35 7 0.88 39 2.51 96 3.39 41.02 -1.26 7 0.95 40 2.54 98 3.41 31.03 -1.23 8 1.01 41 2.56 100 3.43 2.41.04 -1.19 8 1.06 42 2.59 110 3.53 21.05 -1.15 9 1.17 43 2.61 120 3.62 1.7142861.06 -1.12 10 1.26 44 2.63 130 3.70 1.51.08 -1.07 11 1.35 45 2.65 140 3.77 1.3333331.10 -1.02 12 1.43 46 2.67 150 3.84 1.21.15 -0.93 13 1.50 47 2.69 160 3.91 1.0909091.20 -0.85 14 1.57 48 2.71 170 3.97

1.25 -0.79 15 1.63 49 2.73 180 4.03 Ra =1.30 -0.73 16 1.69 50 2.75 190 4.09 R1 =1.35 -0.68 17 1.74 52 2.79 200 4.14 R2 =1.40 -0.63 18 1.80 54 2.83 220 4.24 Sx =1.50 -0.54 19 1.85 56 2.86 240 4.33 T1 =1.60 -0.46 20 1.89 58 2.90 260 4.42 T2 =1.70 -0.40 21 1.94 60 2.93 280 4.50 μ1 =1.80 -0.33 22 1.98 62 2.96 300 4.57 μ2 =1.90 -0.28 23 2.02 64 2.99 350 4.77

2.00 -0.22 24 2.06 66 3.02 400 4.88

2.20 -0.13 25 2.10 68 3.05 450 5.01

2.40 -0.04 26 2.13 70 3.08 500 5.13

2.60 0.04 27 2.17 72 3.11 600 5.33

2.80 0.11 28 2.19 74 3.13 700 5.51

3.00 0.17 29 2.24 76 3.16 800 5.56

3.20 0.24 30 2.27 78 3.18 900 5.80

3.40 0.29 31 2.30 80 3.21 1000 5.92

3.60 0.34 32 2.33 82 3.23 5000 7.90

3.80 0.39 33 2.36 84 3.26 10000 8.83

4.00 0.44 34 2.39 86 3.28 50000 11.08

4.50 0.55 35 2.41 88 3.30 80000 12.32

5.00 0.64 36 2.44 90 3.33 500000 13.74

5.50 0.73 37 2.47 92 3.35

Page 21: CURAH HUJAN 2000-2010(RHESTY)

μ1.430.810.440.17-0.04-0.22-0.39-0.54

-0.696667-0.85

-1.042727

112.737280

-34.44233126

1.430.81

Page 22: CURAH HUJAN 2000-2010(RHESTY)

Curah Hujan Rancangan dengan Metode Gumbel

Tr Yt Yn Sn Xt2 0.2665

0.4996 0.9676

104.35775 1.4999 148.6435

10 2.2502 175.583520 2.9606 201.090725 3.1985 209.632650 3.9019 234.8886

Page 23: CURAH HUJAN 2000-2010(RHESTY)

Curah Hujan Rancangan Metode Gumbel

Tr Yt Yn Sn Xt2 0.2665

0.4996 0.9676

104.35775 1.4999 148.6435

10 2.2502 175.583520 2.9606 201.090725 3.1985 209.632650 3.9019 234.8886

Mengubah curah hujan menitan menjadi jam-jamanMetode Gumbel

(mm/hour)T ( year ) 60 120 180 240 300 360

2 2.360586 1.487076 1.134852 0.936799 0.807309 0.7149125 3.362339 2.118141 1.616444 1.334345 1.149904 1.018296

10 3.971723 2.502029 1.909405 1.576179 1.35831 1.2028520 4.548702 2.865502 2.186788 1.805153 1.555634 1.3775925 4.741921 2.987223 2.279678 1.881833 1.621714 1.43610750 5.313214 3.347115 2.554327 2.10855 1.817094 1.609125

Page 24: CURAH HUJAN 2000-2010(RHESTY)

Perhitungan Intensitas HujanPeriode Ulang 2 tahun

No.t I I * t I^2 I^2 * t Log t Log I (Log t)^2

(jam) (mm/jam)

1 1 2.360586 2.360586 5.572369 5.572369 0 0.37302 0 02 2 1.487076 2.974153 2.211396 4.422792 0.30103 0.172333 0.051877 0.0906193 3 1.134852 3.404555 1.287888 3.863665 0.477121 0.054939 0.026213 0.2276454 4 0.936799 3.747197 0.877593 3.510372 0.60206 -0.028353 -0.01707 0.3624765 5 0.807309 4.036546 0.651748 3.258741 0.69897 -0.09296 -0.064976 0.4885596 6 0.714912 4.28947 0.511099 3.066593 0.778151 -0.145748 -0.113414 0.605519

Sum 7.44 20.81 11.11 23.69 2.86 0.33 -0.12 1.77

Formula Prof. Talbot (1881) :

N = 6a = 4.864224b = 1.125149

Formula Prof. Sherman (tahun 1905):

N = 6log a = 0.37302n = 0.666667a = 2.360586

Formula Dr. Ishiguro (tahun 1953) :

N = 6a = 1.524323b = -0.364613

Perhitungan Intensitas HujanPeriode Ulang 5 tahun

Log t * Log I

I=at+b

a=[ I . t ] [ I 2 ] − [ I 2 . t ] [ I ]N [ I 2 ] − [ I ] [ I ]

b=[ I ] [ I . t ] − N [ I 2 t ]N [ I 2 ]− [ I ] [ I ]

I=a

tn log a=[ log I ] [ ( log t )2 ] − [ log t . log I ] [ log t ]

N [( log t )2 ]− [ log t ] [ log t ]

n =[ log I ] [ log t ] − N [ log t . log I ]N [( log t )2 ]− [ log t ] [ log t ]

I=a

√ t+ba=[ I . √ t ] [ I 2 ] − [ I 2 . √t ] [ I ]

N [ I 2 ] − [ I ] [ I ]

b=[ I ] [ I . √t ] − [ I 2 . √ t ] NN [ I 2 ] − [ I ] [ I ]

Page 25: CURAH HUJAN 2000-2010(RHESTY)

No.t I I * t I^2 I^2 * t Log t Log I (Log t)^2

(jam) (mm/jam)

1 1 3.362339 3.362339 11.30532 11.30532 0 0.526641 0 02 2 2.118141 4.236282 4.48652 8.973041 0.30103 0.325955 0.098122 0.0906193 3 1.616444 4.849332 2.612891 7.838673 0.477121 0.208561 0.099509 0.2276454 4 1.334345 5.33738 1.780477 7.121907 0.60206 0.125268 0.075419 0.3624765 5 1.149904 5.749519 1.322279 6.611393 0.69897 0.060661 0.042401 0.4885596 6 1.018296 6.109775 1.036927 6.221559 0.778151 0.007874 0.006127 0.605519

Sum 10.60 29.64 22.54 48.07 2.86 1.25 0.32 1.77

Formula Prof. Talbot (1881) :

N = 6a = 6.928435b = 1.125149

Formula Prof. Sherman (tahun 1905):

N = 6log a = 0.526641n = 0.666667a = 3.362339

Formula Dr. Ishiguro (tahun 1953) :

N = 6a = 2.171194b = -0.364613

Perhitungan Intensitas HujanPeriode Ulang 10 tahun

No.t I I * t I^2 I^2 * t Log t Log I (Log t)^2

(jam) (mm/jam)

Log t * Log I

Log t * Log I

I=at+b

a=[ I . t ] [ I 2 ] − [ I 2 . t ] [ I ]N [ I 2 ] − [ I ] [ I ]

b=[ I ] [ I . t ] − N [ I 2 t ]N [ I 2 ]− [ I ] [ I ]

I=a

tn log a=[ log I ] [ ( log t )2 ] − [ log t . log I ] [ log t ]

N [( log t )2 ]− [ log t ] [ log t ]

n =[ log I ] [ log t ] − N [ log t . log I ]N [( log t )2 ]− [ log t ] [ log t ]

I=a

√ t+ba=[ I . √ t ] [ I 2 ] − [ I 2 . √t ] [ I ]

N [ I 2 ] − [ I ] [ I ]

b=[ I ] [ I . √t ] − [ I 2 . √ t ] NN [ I 2 ] − [ I ] [ I ]

Page 26: CURAH HUJAN 2000-2010(RHESTY)

1 1 3.971723 3.971723 15.77459 15.77459 0 0.598979 0 02 2 2.502029 5.004058 6.260149 12.5203 0.30103 0.398292 0.119898 0.0906193 3 1.909405 5.728216 3.645829 10.93749 0.477121 0.280898 0.134022 0.2276454 4 1.576179 6.304718 2.484342 9.937367 0.60206 0.197606 0.11897 0.3624765 5 1.35831 6.791552 1.845007 9.225034 0.69897 0.132999 0.092962 0.4885596 6 1.20285 7.2171 1.446848 8.68109 0.778151 0.080211 0.062417 0.605519

Sum 12.52 35.02 31.46 67.08 2.86 1.69 0.53 1.77

Formula Prof. Talbot (1881) :

N = 6a = 8.184132b = 1.125149

Formula Prof. Sherman (tahun 1905):

N = 6log a = 0.598979n = 0.666667a = 3.971723

Formula Dr. Ishiguro (tahun 1953) :

N = 6a = 2.564698b = -0.364613

Perhitungan Intensitas HujanPeriode Ulang 20 tahun

No.t I I * t I^2 I^2 * t Log t Log I (Log t)^2

(jam) (mm/jam)

1 1 4.548702 4.548702 20.69069 20.69069 0 0.657887 0 02 2 2.865502 5.731005 8.211104 16.42221 0.30103 0.457201 0.137631 0.0906193 3 2.186788 6.560363 4.78204 14.34612 0.477121 0.339807 0.162129 0.2276454 4 1.805153 7.220614 3.258579 13.03432 0.60206 0.256514 0.154437 0.3624765 5 1.555634 7.77817 2.419997 12.09999 0.69897 0.191907 0.134138 0.488559

Log t * Log I

I=at+b

a=[ I . t ] [ I 2 ] − [ I 2 . t ] [ I ]N [ I 2 ] − [ I ] [ I ]

b=[ I ] [ I . t ] − N [ I 2 t ]N [ I 2 ]− [ I ] [ I ]

I=a

tn log a=[ log I ] [ ( log t )2 ] − [ log t . log I ] [ log t ]

N [( log t )2 ]− [ log t ] [ log t ]

n =[ log I ] [ log t ] − N [ log t . log I ]N [( log t )2 ]− [ log t ] [ log t ]

I=a

√ t+ba=[ I . √ t ] [ I 2 ] − [ I 2 . √t ] [ I ]

N [ I 2 ] − [ I ] [ I ]

b=[ I ] [ I . √t ] − [ I 2 . √ t ] NN [ I 2 ] − [ I ] [ I ]

Page 27: CURAH HUJAN 2000-2010(RHESTY)

6 6 1.37759 8.265539 1.897754 11.38652 0.778151 0.13912 0.108256 0.605519Sum 14.34 40.10 41.26 87.98 2.86 2.04 0.70 1.77

Formula Prof. Talbot (1881) :

N = 6a = 9.373053b = 1.125149

Formula Prof. Sherman (tahun 1905):

N = 6log a = 0.657887n = 0.666667a = 4.548702

Formula Dr. Ishiguro (tahun 1953) :

N = 6a = 2.937275b = -0.364613

Perhitungan Intensitas HujanPeriode Ulang 25 tahun

No.t I I * t I^2 I^2 * t Log t Log I (Log t)^2

(jam) (mm/jam)

1 1 4.741921 4.741921 22.48582 22.48582 0 0.675954 0 02 2 2.987223 5.974446 8.923502 17.847 0.30103 0.475268 0.14307 0.0906193 3 2.279678 6.839034 5.196931 15.59079 0.477121 0.357873 0.170749 0.2276454 4 1.881833 7.527331 3.541294 14.16518 0.60206 0.274581 0.165314 0.3624765 5 1.621714 8.108571 2.629957 13.14978 0.69897 0.209974 0.146766 0.4885596 6 1.436107 8.616643 2.062404 12.37442 0.778151 0.157187 0.122315 0.605519

Sum 14.95 41.81 44.84 95.61 2.86 2.15 0.75 1.77

Formula Prof. Talbot (1881) :

Log t * Log I

I=at+b

a=[ I . t ] [ I 2 ] − [ I 2 . t ] [ I ]N [ I 2 ] − [ I ] [ I ]

b=[ I ] [ I . t ] − N [ I 2 t ]N [ I 2 ]− [ I ] [ I ]

I=a

tn log a=[ log I ] [ ( log t )2 ] − [ log t . log I ] [ log t ]

N [( log t )2 ]− [ log t ] [ log t ]

n =[ log I ] [ log t ] − N [ log t . log I ]N [( log t )2 ]− [ log t ] [ log t ]

I=a

√ t+ba=[ I . √ t ] [ I 2 ] − [ I 2 . √t ] [ I ]

N [ I 2 ] − [ I ] [ I ]

b=[ I ] [ I . √t ] − [ I 2 . √ t ] NN [ I 2 ] − [ I ] [ I ]

I=at+b

a=[ I . t ] [ I 2 ] − [ I 2 . t ] [ I ]N [ I 2 ] − [ I ] [ I ]

Page 28: CURAH HUJAN 2000-2010(RHESTY)

N = 6a = 9.771201b = 1.125149

Formula Prof. Sherman (tahun 1905):

N = 6log a = 0.675954n = 0.666667a = 4.741921

Formula Dr. Ishiguro (tahun 1953) :

N = 6a = 3.062044b = -0.364613

Perhitungan Intensitas HujanPeriode Ulang 50 tahun

No.t I I * t I^2 I^2 * t Log t Log I (Log t)^2

(jam) (mm/jam)

1 1 5.313214 5.313214 28.23024 28.23024 0 0.725357 0 02 2 3.347115 6.69423 11.20318 22.40636 0.30103 0.524671 0.157942 0.0906193 3 2.554327 7.662981 6.524586 19.57376 0.477121 0.407276 0.19432 0.2276454 4 2.10855 8.434202 4.445985 17.78394 0.60206 0.323984 0.195058 0.3624765 5 1.817094 9.085468 3.301829 16.50915 0.69897 0.259377 0.181297 0.4885596 6 1.609125 9.654751 2.589284 15.5357 0.778151 0.20659 0.160758 0.605519

Sum 16.75 46.84 56.30 120.04 2.86 2.45 0.89 1.77

Formula Prof. Talbot (1881) :

N = 6a = 10.94841b = 1.125149

Log t * Log I

I=at+b

a=[ I . t ] [ I 2 ] − [ I 2 . t ] [ I ]N [ I 2 ] − [ I ] [ I ]

b=[ I ] [ I . t ] − N [ I 2 t ]N [ I 2 ]− [ I ] [ I ]

I=a

tn log a=[ log I ] [ ( log t )2 ] − [ log t . log I ] [ log t ]

N [( log t )2 ]− [ log t ] [ log t ]

n =[ log I ] [ log t ] − N [ log t . log I ]N [( log t )2 ]− [ log t ] [ log t ]

I=a

√ t+ba=[ I . √ t ] [ I 2 ] − [ I 2 . √t ] [ I ]

N [ I 2 ] − [ I ] [ I ]

b=[ I ] [ I . √t ] − [ I 2 . √ t ] NN [ I 2 ] − [ I ] [ I ]

I=at+b

a=[ I . t ] [ I 2 ] − [ I 2 . t ] [ I ]N [ I 2 ] − [ I ] [ I ]

b=[ I ] [ I . t ] − N [ I 2 t ]N [ I 2 ]− [ I ] [ I ]

Page 29: CURAH HUJAN 2000-2010(RHESTY)

Formula Prof. Sherman (tahun 1905):

N = 6log a = 0.725357n = 0.666667a = 5.313214

Formula Dr. Ishiguro (tahun 1953) :

N = 6a = 3.430951b = -0.364613

b=[ I ] [ I . t ] − N [ I 2 t ]N [ I 2 ]− [ I ] [ I ]

I=a

tn log a=[ log I ] [ ( log t )2 ] − [ log t . log I ] [ log t ]

N [( log t )2 ]− [ log t ] [ log t ]

n =[ log I ] [ log t ] − N [ log t . log I ]N [( log t )2 ]− [ log t ] [ log t ]

I=a

√ t+ba=[ I . √ t ] [ I 2 ] − [ I 2 . √t ] [ I ]

N [ I 2 ] − [ I ] [ I ]

b=[ I ] [ I . √t ] − [ I 2 . √ t ] NN [ I 2 ] − [ I ] [ I ]

Page 30: CURAH HUJAN 2000-2010(RHESTY)

Uji kecocokan rumus-rumus IntensitaPeriode Ulang 2 Tahun

√t I*√t I^2 *√tNo.

t I

(jam) (mm/jam) (Talbot)

1 2.360586 5.572369 1 1 2.360586 2.288886 0.005141 3.0374011.414214 2.103043 3.127386 2 2 1.487076 1.556477 0.004817 4.6669511.732051 1.965621 2.230688 3 3 1.134852 1.179163 0.001964 3.904614

2 1.873599 1.755186 4 4 0.936799 0.949089 0.000151 1.3119022.236068 1.805198 1.457353 5 5 0.807309 0.79414 0.000173 1.6312882.44949 1.751169 1.251931 6 6 0.714912 0.682684 0.001039 4.507956

10.83 11.86 15.39 Sum 7.441535 0.013284 19.06011

Deviasi 0.05% Error 3.18

Uji kecocokan rumus-rumus IntensitaPeriode Ulang 5 Tahun

I1 (I1-I)^2 (I1-I)/I*100

(Kuadrat Error)

(Persentase Error)

Page 31: CURAH HUJAN 2000-2010(RHESTY)

√t I*√t I^2 *√tNo.

t I

(jam) (mm/jam) (Talbot)

1 3.362339 11.30532 1 1 3.362339 3.260211 0.01043 3.0374011.414214 2.995503 6.344898 2 2 2.118141 2.216993 0.009772 4.6669511.732051 2.799763 4.52566 3 3 1.616444 1.67956 0.003984 3.904614

2 2.66869 3.560954 4 4 1.334345 1.35185 0.000306 1.3119022.236068 2.571263 2.956705 5 5 1.149904 1.131145 0.000352 1.6312882.44949 2.494305 2.539941 6 6 1.018296 0.972392 0.002107 4.507956

10.83 16.89 31.23 Sum 10.59947 0.026951 19.06011

Deviasi 0.07% Error 3.18

Uji kecocokan rumus-rumus IntensitaPeriode Ulang 10 Tahun

√t I*√t I^2 *√tNo.

t I

(jam) (mm/jam) (Talbot)

I1 (I1-I)^2 (I1-I)/I*100

(Kuadrat Error)

(Persentase Error)

I1 (I1-I)^2 (I1-I)/I*100

(Kuadrat Error)

(Persentase Error)

Page 32: CURAH HUJAN 2000-2010(RHESTY)

1 3.971723 15.77459 1 1 3.971723 3.851086 0.014553 3.0374011.414214 3.538403 8.853188 2 2 2.502029 2.618797 0.013635 4.6669511.732051 3.307187 6.314762 3 3 1.909405 1.98396 0.005558 3.904614

2 3.152359 4.968684 4 4 1.576179 1.596857 0.000428 1.3119022.236068 3.037274 4.125561 5 5 1.35831 1.336152 0.000491 1.6312882.44949 2.946369 3.54404 6 6 1.20285 1.148626 0.00294 4.507956

10.83 19.95 43.58 Sum 12.5205 0.037605 19.06011

Deviasi 0.09% Error 3.18

Uji kecocokan rumus-rumus IntensitaPeriode Ulang 20 Tahun

√t I*√t I^2 *√tNo.

t I

(jam) (mm/jam) (Talbot)

1 4.548702 20.69069 1 1 4.548702 4.410539 0.019089 3.0374011.414214 4.052432 11.61226 2 2 2.865502 2.999234 0.017884 4.6669511.732051 3.787627 8.282737 3 3 2.186788 2.272173 0.007291 3.904614

2 3.610307 6.517158 4 4 1.805153 1.828835 0.000561 1.3119022.236068 3.478504 5.411279 5 5 1.555634 1.530257 0.000644 1.631288

I1 (I1-I)^2 (I1-I)/I*100

(Kuadrat Error)

(Persentase Error)

Page 33: CURAH HUJAN 2000-2010(RHESTY)

2.44949 3.374392 4.648529 6 6 1.37759 1.315489 0.003857 4.50795610.83 22.85 57.16 Sum 14.33937 0.049325 19.06011

Deviasi 0.10% Error 3.18

Uji kecocokan rumus-rumus IntensitaPeriode Ulang 25 Tahun

√t I*√t I^2 *√tNo.

t I

(jam) (mm/jam) (Talbot)

1 4.741921 22.48582 1 1 4.741921 4.59789 0.020745 3.0374011.414214 4.224571 12.61974 2 2 2.987223 3.126635 0.019436 4.6669511.732051 3.948518 9.001349 3 3 2.279678 2.368691 0.007923 3.904614

2 3.763665 7.082588 4 4 1.881833 1.90652 0.000609 1.3119022.236068 3.626263 5.880763 5 5 1.621714 1.595259 0.0007 1.6312882.44949 3.51773 5.051836 6 6 1.436107 1.371368 0.004191 4.507956

10.83 23.82 62.12 Sum 14.94848 0.053604 19.06011

Deviasi 0.10% Error 3.18

I1 (I1-I)^2 (I1-I)/I*100

(Kuadrat Error)

(Persentase Error)

Page 34: CURAH HUJAN 2000-2010(RHESTY)

Uji kecocokan rumus-rumus IntensitaPeriode Ulang 50 Tahun

√t I*√t I^2 *√tNo.

t I

(jam) (mm/jam) (Talbot)

1 5.313214 28.23024 1 1 5.313214 5.15183 0.026045 3.0374011.414214 4.733536 15.84369 2 2 3.347115 3.503323 0.024401 4.6669511.732051 4.424224 11.30091 3 3 2.554327 2.654063 0.009947 3.904614

2 4.217101 8.891969 4 4 2.10855 2.136213 0.000765 1.3119022.236068 4.063145 7.383115 5 5 1.817094 1.787452 0.000879 1.6312882.44949 3.941535 6.342424 6 6 1.609125 1.536586 0.005262 4.507956

10.83 26.69 77.99 Sum 16.74943 0.067299 19.06011

Deviasi 0.12% Error 3.18

I1 (I1-I)^2 (I1-I)/I*100

(Kuadrat Error)

(Persentase Error)

Page 35: CURAH HUJAN 2000-2010(RHESTY)

Deviasi dan Persen Error Terkecil adalah menggunakan Metode Sherman

1 2 3 4 5 60

1

2

3

4

5

6

2 tahun

5 tahun

10 tahun

20 tahun

25 tahun

50 tahun

Page 36: CURAH HUJAN 2000-2010(RHESTY)

(Ishiguro) (Kuadrat Error) (Persentase Error)

2.360586 0.00 0.00 2.399045 0.0014790796 1.6292054521.487076 0.00 0.00 1.452288 0.001210205 2.3393554821.134852 0.00 0.00 1.114729 0.000404914 1.7731371870.936799 0.00 0.00 0.932087 2.220705E-05 0.5030356920.807309 0.00 0.00 0.814512 5.188285E-05 0.8922200720.714912 0.00 0.00 0.731133 0.0002631417 2.269041461

0.00 0.00 0.0034314302 9.405995346

0.00 0.030.00 1.57

I2 (I2-I)^2 (I2-I)/I*100 I3 (I3-I)^2 (I3-I)/I*100

(Sherman)

(Kuadrat Error)

(Persentase Error)

Page 37: CURAH HUJAN 2000-2010(RHESTY)

(Ishiguro) (Kuadrat Error) (Persentase Error)

3.362339 0 0 3.417118 0.0030007837 1.6292054522.118141 0 0 2.06859 0.002455286 2.3393554821.616444 0 0 1.587782 0.000821497 1.7731371871.334345 0 0 1.327633 4.505406E-05 0.5030356921.149904 0 0 1.160163 0.0001052609 0.8922200721.018296 0 0 1.041401 0.0005338667 2.269041461

0 0 0.0069617483 9.405995346

0.00 0.040.00 1.57

(Ishiguro) (Kuadrat Error) (Persentase Error)

I2 (I2-I)^2 (I2-I)/I*100 I3 (I3-I)^2 (I3-I)/I*100

(Sherman)

(Kuadrat Error)

(Persentase Error)

I2 (I2-I)^2 (I2-I)/I*100 I3 (I3-I)^2 (I3-I)/I*100

(Sherman)

(Kuadrat Error)

(Persentase Error)

Page 38: CURAH HUJAN 2000-2010(RHESTY)

3.971723 0 0 4.036431 0.004187065 1.6292054522.502029 0 0 2.443498 0.0034259192 2.3393554821.909405 0 0 1.875549 0.0011462544 1.7731371871.576179 0 0 1.568251 6.2865E-05 0.5030356921.35831 0 0 1.370429 0.000146873 0.8922200721.20285 0 0 1.230143 0.000744917 2.269041461

0 0 0.0097138936 9.405995346

0.00 0.040.00 1.57

(Ishiguro) (Kuadrat Error) (Persentase Error)

4.548702 0 0 4.622809 0.0054919505 1.6292054522.865502 0 0 2.798468 0.004493596 2.3393554822.186788 0 0 2.148013 0.0015034809 1.7731371871.805153 0 0 1.796073 8.245668E-05 0.5030356921.555634 0 0 1.569514 0.0001926455 0.892220072

I2 (I2-I)^2 (I2-I)/I*100 I3 (I3-I)^2 (I3-I)/I*100

(Sherman)

(Kuadrat Error)

(Persentase Error)

Page 39: CURAH HUJAN 2000-2010(RHESTY)

1.37759 0 0 1.408848 0.000977068 2.2690414610 0 0.0127411975 9.405995346

0.00 0.050.00 1.57

(Ishiguro) (Kuadrat Error) (Persentase Error)

4.741921 0 0 4.819177 0.0059684335 1.6292054522.987223 0 0 2.917341 0.0048834615 2.3393554822.279678 0 0 2.239256 0.0016339233 1.7731371871.881833 0 0 1.872366 8.961064E-05 0.5030356921.621714 0 0 1.636183 0.0002093595 0.8922200721.436107 0 0 1.468693 0.0010618386 2.269041461

0 0 0.013846627 9.405995346

0.00 0.050.00 1.57

I2 (I2-I)^2 (I2-I)/I*100 I3 (I3-I)^2 (I3-I)/I*100

(Sherman)

(Kuadrat Error)

(Persentase Error)

Page 40: CURAH HUJAN 2000-2010(RHESTY)

(Ishiguro) (Kuadrat Error) (Persentase Error)

5.313214 0 0 5.399777 0.0074931829 1.6292054523.347115 0 0 3.268814 0.0061310342 2.3393554822.554327 0 0 2.509035 0.0020513399 1.7731371872.10855 0 0 2.097944 0.0001125034 0.503035692

1.817094 0 0 1.833306 0.0002628443 0.8922200721.609125 0 0 1.645637 0.0013331054 2.269041461

0 0 0.01738401 9.405995346

0.00 0.060.00 1.57

I2 (I2-I)^2 (I2-I)/I*100 I3 (I3-I)^2 (I3-I)/I*100

(Sherman)

(Kuadrat Error)

(Persentase Error)

Page 41: CURAH HUJAN 2000-2010(RHESTY)

Deviasi dan Persen Error Terkecil adalah menggunakan Metode Sherman

1 2 3 4 5 60

1

2

3

4

5

6

2 tahun

5 tahun

10 tahun

20 tahun

25 tahun

50 tahun