Tugas 1 Hidrologi Terapan.docx

Diketahui : Data Debit di Sungai Sario Selama 20 Tahun (m3/s), Sebagai berikut :

Bulan No

Tahun

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017

Januari 01-15 16-31 87.6 88.9 80.1 89.6 72.3 91.3 90.2 94.2 74.5 92.6 92.5 93.7 88.7 97.1 76.6 75.6 72.8 84.3 99.3 76.9 81.4 69.9 82.6 82.5 90.3 92.4 80.9 85.6 75.5 98.1 78.3 98 90.1 74.6 85.6 92.3 75.6 88.9 98.4 91.4

Februari 01-15 16-28 87.5 71.5 88.4 98.5 93.4 76.6 98.4 60.9 91.6 83.2 92.5 76.8 71.2 93.5 92.5 88.5 77.8 87.9 73.4 89.2 81.4 87.9 85.2 75.7 72.3 95.4 81.2 98.2 75.6 85.4 90.3 84.5 94.7 79.6 89.3 90.3 76.8 88.6 81.9 85.9

Maret 01-15 16-31 87.5 93.7 83.4 70.9 79.3 78.4 78.3 86.8 89.1 79.6 82.6 86.4 82.1 91.6 90.3 96.5 79.4 82.5 82.9 92.3 95.3 72.3 85.7 89.7 93.4 99.1 82.3 74.9 84.6 91.6 90.4 75.3 96.7 79.6 94.5 87.4 80.5 92.6 93.5 95.7

April 01-15 16-30 72.5 98.5 83.4 94.6 74.9 91.4 86.5 87.5 96.5 93.4 82.4 98.4 96.4 99.3 71.5 80.2 96.4 88.4 92.3 86.6 79.7 73.6 84.5 89 87.6 86.3 84.7 92.4 78.9 98.6 97.8 80.7 99.5 90.5 90.6 84.5 92.3 86.5 83.4 92.4

Bulan No 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Tahun 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017

Mei 01-15 87.5 75.9 85.6 78.9 76 83.1 79.4 72.5 92.5 93.4 78.9 79.5 90.6 87.4 89 84.6 72.4 76.5 92.5 87.7

16-31 89.3 72.3 96.2 90.6 91.5 76.4 73.4 98.2 72.5 71.4 82.9 99.3 86.7 84.5 73.9 87.6 82.3 72.3 84.5 72.3

Juni 01-15 93.6 95.8 72.6 76.8 83.9 98.7 88.4 71.9 92.5 99.6 85.4 71.5 93.4 71.4 92.5 82.3 96.5 71.2 91.5 92.3

16-30 86.7 61.2 50.6 86.6 59.4 80.2 92.7 81.4 85.9 92.5 82.7 89.4 74.5 89.3 76.7 81.3 80.5 92.5 75.8 75.9

Juli 01-15 73.7 60.9 83.4 80.1 76.3 98.3 60.5 77.6 80.3 72.6 76.2 81.2 94.7 79.5 86.7 70.5 71.2 90.4 86.8 75.6

16-31 89.6 92.8 76.3 72.5 81.3 87.8 96.4 91.2 80.3 77.2 78.9 93.4 76.7 71.2 74.5 82.3 83.7 65.7 72.5 85.4

Agustus 01-15 16-31 91.5 71.2 82.4 88.5 92.5 95.3 80.7 92.7 72.4 67.6 89.5 76.5 92.4 92.3 71.4 74.6 82.3 63.4 87.3 90.4 69.4 81.2 95.4 98.7 82.3 90.2 79.5 73.5 72.6 95.6 92.3 92.3 85.6 74.5 74.5 72.3 86.9 85.6 92.1 73.6

Bulan No

Tahun

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017

September 01-15 16-30 89.4 90.4 79.4 91.2 91.5 84.5 80.4 89.5 90.8 99.5 98.7 92.5 76.5 83.7 66.8 72.8 92.5 53.7 78.2 69.4 59.8 92.5 93.5 53.4 72.5 93.7 72.5 69.5 76.4 72.3 87.5 88.4 62.3 70.4 85.4 72.9 72.4 99.2 92.9 92.3

Ditanya : Hitung Debit Andalan : -

Dengan cara Diskrit Dengan Cara Menerus

Dengan Tingkat Keandalan : -

Q80 Q90 Q95

Oktober 01-15 16-31 75.6 78.3 80.1 83.5 92.3 67.3 96.7 79.3 82.2 96.2 90.5 95.6 79.4 84.5 72.4 92.4 89.4 83.4 63.4 71.5 82.3 48.3 60.2 99.2 81.5 92.9 71.7 90.6 82.4 91.6 77.6 82.6 92.8 93.4 82.3 74.6 91.7 73.4 93.4 92.3

November 01-15 16-30 91.3 89.1 89.3 76.5 82.5 68.5 94.6 67.7 73.4 92.3 92.7 96.4 82.3 72.9 99.2 91.3 94.3 82.5 62.5 82.4 72.5 61.7 92.5 92.3 72.3 92.5 94.5 78.4 99.6 78.5 82.3 72.5 63.4 71.9 85.6 93.4 72.3 83.4 94.5 69.6

Desember 01-15 16-31 81.2 82.5 93.5 71.2 84.5 91.2 95 90.7 81.6 73.5 78.5 92.3 94.5 91.5 92.4 95.6 88.6 82.4 91.3 81.4 96.7 85.2 89.3 88.5 65.4 91.5 80.1 94.6 52.3 67.4 92.5 82.4 83.2 67.5 92.3 82.1 92.7 74.5 74.5 82.8

Penyelesaian : Diketahui Rumus Probabilitas :

P( X  x) 

m 100% n 1

Dimana : P (X≥ x) adalah probabilitas terjadinya variabel X (debit) yang sama dengan atau lebih besar x m3/s, m adalah peringkat data; n adalah jumlah data; X adalah seri data debit; x adalah varian debit andalan jika probabilitasnya sesuai dengan peruntukannya, misalnya P (X≥ Q80%) = 0,8 yaitu Q80% = x1 m3/s.

1. Dengan Cara Diskrit - Data Diurutkan mulai dari nilai yang terbesar hingga yang terkecil - Dihitung nilai probabilitas dengan rumus probabilitas :

P( X  x) 

m 100% n 1

Contoh: P1 = -

1 20+1

× 100% = 4.76

Menghitung nilai Q80, Q90, Q95 dengan Interpolasi:

Tabel Analisis Probabilitas:

Bulan No 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Probabilitas 4.761904762 9.523809524 14.28571429 19.04761905 23.80952381 28.57142857 33.33333333 38.0952381 42.85714286 47.61904762 52.38095238 57.14285714 61.9047619 66.66666667 71.42857143 76.19047619 80.95238095 85.71428571 90.47619048 95.23809524

Januari 01-15 16-31 99.3 98.1 98.4 98 92.5 97.1 90.3 94.2 90.2 93.7 90.1 92.6 88.7 92.4 87.6 92.3 85.6 91.4 82.6 91.3 81.4 89.6 80.9 88.9 80.1 88.9 78.3 85.6 76.6 84.3 75.6 82.5 75.5 76.9 74.5 75.6 72.8 74.6 72.3 69.9

Februari 01-15 16-28 98.4 98.5 94.7 98.2 93.4 95.4 92.5 93.5 92.5 90.3 91.6 89.2 90.3 88.6 89.3 88.5 88.4 87.9 87.5 87.9 85.2 85.9 81.9 85.4 81.4 84.5 81.2 83.2 77.8 79.6 76.8 76.8 75.6 76.6 73.4 75.7 72.3 71.5 71.2 60.9

Maret 01-15 16-31 96.7 99.1 95.3 96.5 94.5 95.7 93.5 93.7 93.4 92.6 90.4 92.3 90.3 91.6 89.1 91.6 87.5 89.7 85.7 87.4 84.6 86.8 83.4 86.4 82.9 82.5 82.6 79.6 82.3 79.6 82.1 78.4 80.5 75.3 79.4 74.9 79.3 72.3 78.3 70.9

April 01-15 99.5 97.8 96.5 96.4 96.4 92.3 92.3 90.6 87.6 86.5 84.7 84.5 83.4 83.4 82.4 79.7 78.9 74.9 72.5 71.5

Mei 16-30 99.3 98.6 98.5 98.4 94.6 93.4 92.4 92.4 91.4 90.5 89 88.4 87.5 86.6 86.5 86.3 84.5 80.7 80.2 73.6

01-15 93.4 92.5 92.5 90.6 89 87.7 87.5 87.4 85.6 84.6 83.1 79.5 79.4 78.9 78.9 76.5 76 75.9 72.5 72.4

Juni 16-31 99.3 98.2 96.2 91.5 90.6 89.3 87.6 86.7 84.5 84.5 82.9 82.3 76.4 73.9 73.4 72.5 72.3 72.3 72.3 71.4

01-15 99.6 98.7 96.5 95.8 93.6 93.4 92.5 92.5 92.3 91.5 88.4 85.4 83.9 82.3 76.8 72.6 71.9 71.5 71.4 71.2

Juli 16-30 92.7 92.5 92.5 89.4 89.3 86.7 86.6 85.9 82.7 81.4 81.3 80.5 80.2 76.7 75.9 75.8 74.5 61.2 59.4 50.6

01-15 98.3 94.7 90.4 86.8 86.7 83.4 81.2 80.3 80.1 79.5 77.6 76.3 76.2 75.6 73.7 72.6 71.2 70.5 60.9 60.5

16-31 96.4 93.4 92.8 91.2 89.6 87.8 85.4 83.7 82.3 81.3 80.3 78.9 77.2 76.7 76.3 74.5 72.5 72.5 71.2 65.7

Agustus 01-15 16-31 95.4 98.7 92.5 95.6 92.4 95.3 92.3 92.7 92.1 92.3 91.5 92.3 89.5 90.4 87.3 90.2 86.9 88.5 85.6 85.6 82.4 81.2 82.3 76.5 82.3 74.6 80.7 74.5 79.5 73.6 74.5 73.5 72.6 72.3 72.4 71.2 71.4 67.6 69.4 63.4

September 01-15 16-30 98.7 99.5 93.5 99.2 92.9 93.7 92.5 92.5 91.5 92.5 90.8 92.3 89.4 91.2 87.5 90.4 85.4 89.5 80.4 88.4 79.4 84.5 78.2 83.7 76.5 72.9 76.4 72.8 72.5 72.3 72.5 70.4 72.4 69.5 66.8 69.4 62.3 53.7 59.8 53.4

Oktober 01-15 16-31 96.7 99.2 93.4 96.2 92.8 95.6 92.3 93.4 91.7 92.9 90.5 92.4 89.4 92.3 82.4 91.6 82.3 90.6 82.3 84.5 82.2 83.5 81.5 83.4 80.1 82.6 79.4 79.3 77.6 78.3 75.6 74.6 72.4 73.4 71.7 71.5 63.4 67.3 60.2 48.3

November 01-15 16-30 99.6 96.4 99.2 93.4 94.6 92.5 94.5 92.3 94.5 92.3 94.3 91.3 92.7 89.1 92.5 83.4 91.3 82.5 89.3 82.4 85.6 78.5 82.5 78.4 82.3 76.5 82.3 72.9 73.4 72.5 72.5 71.9 72.3 69.6 72.3 68.5 63.4 67.7 62.5 61.7

Desember 01-15 16-31 96.7 95.6 95 94.6 94.5 92.3 93.5 91.5 92.7 91.5 92.5 91.2 92.4 90.7 92.3 88.5 91.3 85.2 89.3 82.8 88.6 82.5 84.5 82.4 83.2 82.4 81.6 82.1 81.2 81.4 80.1 74.5 78.5 73.5 74.5 71.2 65.4 67.5 52.3 67.4

Tabel Debit Andalan:

Debit Andalan (m3/det) Q80 Q90 Q95

Januari

Februari

01-15 16-31 01-15 16-28 75.52 78.02 75.84 76.64 75.31 74.7 72.41 71.92 72.325 70.135 71.255 61.43

Maret 01-15 80.82 79.31 78.35

16-31 75.92 72.56 70.97

April 01-15 79.06 72.74 71.55

Mei 16-30 01-15 16-31 01-15 84.86 76.1 72.34 72.04 80.25 72.84 72.3 71.41 73.93 72.405 71.445 71.21

Juni

Juli 16-30 74.76 59.58 51.04

Agustus

01-15 16-31 01-15 71.48 72.9 72.98 61.86 71.33 71.5 60.52 65.975 69.5

September

Oktober

16-31 01-15 16-30 01-15 72.54 72.42 69.68 73.04 67.96 62.75 55.27 64.23 63.61 59.925 53.415 60.36

November

Desember

16-31 01-15 16-30 01-15 16-31 73.64 72.34 70.06 78.82 73.7 67.72 64.29 67.78 66.31 67.87 49.25 62.545 62 52.955 67.405

Didapat Grafik Debit Diskrit:

Debit Andalan Sungai Sario Q80

Q90

Q95

90

Debit Andalan (m3/s)

80 70 60 50 40 30 20 10 0 1

2

3

4

5

6

7

8

9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Setengah Bulan

2. Dengan Cara Menerus -

Data Diurutkan mulai dari nilai yang terbesar hingga yang terkecil Dihitung nilai probabilitas dengan rumus probabilitas :

P( X  x) 

m 100% n 1

Contoh: 1

P1 = 20+1 × 100% = 4.76 -

Menghitung nilai Q80, Q90, Q95 dengan Interpolasi.

Data Debit Sungai Sario :

Januari 1 Januari 2 Februari 1 Februari 2 Maret Maret April April Mei Mei Juni Juni Juli Juli Agustus Agustus September September Oktober Oktober November November Desember Desember

1998 87.6 88.9 87.5 71.5 87.5 93.7 72.5 98.5 87.5 89.3 93.6 86.7 73.7 89.6 91.5 71.2 89.4 90.4 75.6 78.3 91.3 89.1 81.2 82.5

1999 80.1 89.6 88.4 98.5 83.4 70.9 83.4 94.6 75.9 72.3 95.8 61.2 60.9 92.8 56.4 88.5 79.4 91.2 80.1 83.5 89.3 76.5 93.5 71.2

2000 72.3 91.3 93.4 76.6 79.3 78.4 74.9 91.4 85.6 96.2 72.6 50.6 83.4 76.3 92.5 95.3 91.5 84.5 92.3 67.3 82.5 68.5 84.5 91.2

2001 90.2 94.2 98.4 60.9 78.3 86.8 86.5 87.5 78.9 90.6 76.8 86.6 80.1 72.5 86.4 92.7 80.4 89.5 96.7 79.3 94.6 67.7 95 90.7

2002 74.5 92.6 91.6 83.2 89.1 79.6 96.5 93.4 76 91.5 83.9 59.4 76.3 81.3 72.4 67.6 90.8 99.5 82.2 96.2 73.4 92.3 81.6 73.5

2003 92.5 93.7 92.5 76.8 82.6 86.4 82.4 98.4 83.1 76.4 98.7 80.2 98.3 87.8 78.5 76.5 98.7 92.5 90.5 95.6 92.7 96.4 78.5 92.3

2004 88.7 97.1 71.2 93.5 82.1 91.6 96.4 99.3 79.4 73.4 88.4 92.7 60.5 96.4 92.4 92.3 76.5 83.7 79.4 84.5 82.3 72.9 94.5 91.5

2005 76.6 75.6 92.5 88.5 90.3 96.5 71.5 80.2 72.5 98.2 71.9 81.4 77.6 91.2 71.4 74.6 66.8 72.8 72.4 92.4 99.2 91.3 92.4 95.6

2006 72.8 84.3 77.8 87.9 79.4 82.5 96.4 88.4 92.5 72.5 92.5 85.9 80.3 80.3 82.3 63.4 92.5 53.7 89.4 83.4 94.3 82.5 88.6 82.4

2007 99.3 76.9 73.4 89.2 82.9 92.3 92.3 86.6 93.4 71.4 99.6 92.5 72.6 77.2 76.4 90.4 78.2 69.4 63.4 71.5 62.5 82.4 91.3 81.4

Januari 1 Januari 2 Februari 1 Februari 2 Maret Maret April April Mei Mei Juni Juni Juli Juli Agustus Agustus September September Oktober Oktober November November Desember Desember

2007 99.3 76.9 73.4 89.2 82.9 92.3 92.3 86.6 93.4 71.4 99.6 92.5 72.6 77.2 76.4 90.4 78.2 69.4 63.4 71.5 62.5 82.4 91.3 81.4

2008 81.4 69.9 81.4 87.9 95.3 72.3 79.7 73.6 78.9 82.9 85.4 82.7 76.2 78.9 75.3 81.2 59.8 92.5 82.3 48.3 72.5 61.7 96.7 85.2

2009 82.6 82.5 85.2 75.7 85.7 89.7 84.5 89 79.5 99.3 71.5 89.4 81.2 93.4 46.7 98.7 93.5 53.4 60.2 99.2 92.5 92.3 89.3 88.5

2010 90.3 92.4 72.3 95.4 93.4 99.1 87.6 86.3 90.6 86.7 93.4 74.5 94.7 76.7 82.3 90.2 72.5 93.7 81.5 92.9 72.3 92.5 65.4 91.5

2011 80.9 85.6 81.2 98.2 82.3 74.9 84.7 92.4 87.4 84.5 71.4 89.3 79.5 71.2 54.6 73.5 72.5 69.5 71.7 90.6 94.5 78.4 80.1 94.6

2012 75.5 98.1 75.6 85.4 84.6 91.6 78.9 98.6 89 73.9 92.5 76.7 86.7 74.5 72.6 95.6 76.4 72.3 82.4 91.6 99.6 78.5 52.3 67.4

2013 78.3 98 90.3 84.5 90.4 75.3 97.8 80.7 84.6 87.6 82.3 81.3 70.5 82.3 92.3 92.3 87.5 88.4 77.6 82.6 82.3 72.5 92.5 82.4

2014 90.1 74.6 94.7 79.6 96.7 79.6 99.5 90.5 72.4 82.3 96.5 80.5 71.2 83.7 85.6 74.5 62.3 70.4 92.8 93.4 63.4 71.9 83.2 67.5

2015 85.6 92.3 89.3 90.3 94.5 87.4 90.6 84.5 76.5 72.3 71.2 92.5 90.4 65.7 75.8 72.3 85.4 72.9 82.3 74.6 85.6 93.4 92.3 82.1

2016 75.6 88.9 76.8 88.6 80.5 92.6 92.3 86.5 92.5 84.5 91.5 75.8 86.8 72.5 43.4 85.6 72.4 99.2 91.7 73.4 72.3 83.4 92.7 74.5

2017 98.4 91.4 81.9 85.9 93.5 95.7 83.4 92.4 87.7 72.3 92.3 75.9 75.6 85.4 92.1 73.6 92.9 92.3 93.4 92.3 94.5 69.6 74.5 82.8

Data yang telah diurutkan: Ranking Data 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Ranking Data 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62

Probabilitas (%) 0.207900208 0.415800416 0.623700624 0.831600832 1.03950104 1.247401247 1.455301455 1.663201663 1.871101871 2.079002079 2.286902287 2.494802495 2.702702703 2.910602911 3.118503119 3.326403326 3.534303534 3.742203742 3.95010395 Probabilitas (%) 8.108108108 8.316008316 8.523908524 8.731808732 8.93970894 9.147609148 9.355509356 9.563409563 9.771309771 9.979209979 10.18711019 10.3950104 10.6029106 10.81081081 11.01871102 11.22661123 11.43451143 11.64241164 11.85031185 12.05821206 12.26611227 12.47401247 12.68191268 12.88981289

Data Diurutkan 99.6 99.6 99.5 99.5 99.3 99.3 99.3 99.2 99.2 99.2 99.1 98.7 98.7 98.7 98.6 98.5 98.5 98.4 98.4 Data Diurutkan 96.2 95.8 95.7 95.6 95.6 95.6 95.4 95.3 95.3 95 94.7 94.7 94.6 94.6 94.6 94.5 94.5 94.5 94.5 94.3 94.2 93.7 93.7 93.7

Ranking Data 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 Ranking Data 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109

Probabilitas (%) 4.158004158 4.365904366 4.573804574 4.781704782 4.98960499 5.197505198 5.405405405 5.613305613 5.821205821 6.029106029 6.237006237 6.444906445 6.652806653 6.860706861 7.068607069 7.276507277 7.484407484 7.692307692 7.9002079 Probabilitas (%) 17.87941788 18.08731809 18.2952183 18.5031185 18.71101871 18.91891892 19.12681913 19.33471933 19.54261954 19.75051975 19.95841996 20.16632017 20.37422037 20.58212058 20.79002079 20.997921 21.20582121 21.41372141 21.62162162 21.82952183 22.03742204 22.24532225 22.45322245 22.66112266

Data Diurutkan 98.4 98.3 98.2 98.2 98.1 98 97.8 97.1 96.7 96.7 96.7 96.5 96.5 96.5 96.4 96.4 96.4 96.4 96.2 Data Diurutkan 92.6 92.5 92.5 92.5 92.5 92.5 92.5 92.5 92.5 92.5 92.5 92.5 92.5 92.5 92.5 92.5 92.5 92.4 92.4 92.4 92.4 92.4 92.4 92.3

63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 Ranking Data 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156

13.0977131 13.30561331 13.51351351 13.72141372 13.92931393 14.13721414 14.34511435 14.55301455 14.76091476 14.96881497 15.17671518 15.38461538 15.59251559 15.8004158 16.00831601 16.21621622 16.42411642 16.63201663 16.83991684 17.04781705 17.25571726 17.46361746 17.67151767 Probabilitas (%) 27.65072765 27.85862786 28.06652807 28.27442827 28.48232848 28.69022869 28.8981289 29.10602911 29.31392931 29.52182952 29.72972973 29.93762994 30.14553015 30.35343035 30.56133056 30.76923077 30.97713098 31.18503119 31.39293139 31.6008316 31.80873181 32.01663202 32.22453222 32.43243243

93.6 93.5 93.5 93.5 93.5 93.4 93.4 93.4 93.4 93.4 93.4 93.4 93.4 93.4 92.9 92.9 92.8 92.8 92.7 92.7 92.7 92.7 92.6 Data Diurutkan 91.5 91.5 91.5 91.4 91.4 91.3 91.3 91.3 91.3 91.2 91.2 91.2 90.8 90.7 90.6 90.6 90.6 90.6 90.5 90.5 90.4 90.4 90.4 90.4

110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 Ranking Data 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203

22.86902287 23.07692308 23.28482328 23.49272349 23.7006237 23.90852391 24.11642412 24.32432432 24.53222453 24.74012474 24.94802495 25.15592516 25.36382536 25.57172557 25.77962578 25.98752599 26.1954262 26.4033264 26.61122661 26.81912682 27.02702703 27.23492723 27.44282744 Probabilitas (%) 37.42203742 37.62993763 37.83783784 38.04573805 38.25363825 38.46153846 38.66943867 38.87733888 39.08523909 39.29313929 39.5010395 39.70893971 39.91683992 40.12474012 40.33264033 40.54054054 40.74844075 40.95634096 41.16424116 41.37214137 41.58004158 41.78794179 41.995842 42.2037422

92.3 92.3 92.3 92.3 92.3 92.3 92.3 92.3 92.3 92.3 92.3 92.3 92.3 92.3 92.1 91.7 91.6 91.6 91.6 91.6 91.5 91.5 91.5 Data Diurutkan 89 88.9 88.9 88.7 88.6 88.6 88.5 88.5 88.5 88.4 88.4 88.4 88.4 87.9 87.9 87.8 87.7 87.6 87.6 87.6 87.5 87.5 87.5 87.5

157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 Ranking Data 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250

32.64033264 32.84823285 33.05613306 33.26403326 33.47193347 33.67983368 33.88773389 34.0956341 34.3035343 34.51143451 34.71933472 34.92723493 35.13513514 35.34303534 35.55093555 35.75883576 35.96673597 36.17463617 36.38253638 36.59043659 36.7983368 37.00623701 37.21413721 Probabilitas (%) 47.19334719 47.4012474 47.60914761 47.81704782 48.02494802 48.23284823 48.44074844 48.64864865 48.85654886 49.06444906 49.27234927 49.48024948 49.68814969 49.8960499 50.1039501 50.31185031 50.51975052 50.72765073 50.93555094 51.14345114 51.35135135 51.55925156 51.76715177 51.97505198

90.3 90.3 90.3 90.3 90.23 90.2 90.1 89.7 89.6 89.6 89.5 89.4 89.4 89.4 89.3 89.3 89.3 89.3 89.3 89.2 89.1 89.1 89 Data Diurutkan 85.6 85.4 85.4 85.4 85.4 85.2 85.2 84.7 84.6 84.6 84.5 84.5 84.5 84.5 84.5 84.5 84.5 84.5 84.3 83.9 83.7 83.7 83.5 83.4

204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 Ranking Data 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297

42.41164241 42.61954262 42.82744283 43.03534304 43.24324324 43.45114345 43.65904366 43.86694387 44.07484407 44.28274428 44.49064449 44.6985447 44.90644491 45.11434511 45.32224532 45.53014553 45.73804574 45.94594595 46.15384615 46.36174636 46.56964657 46.77754678 46.98544699 Probabilitas (%) 56.96465696 57.17255717 57.38045738 57.58835759 57.7962578 58.004158 58.21205821 58.41995842 58.62785863 58.83575884 59.04365904 59.25155925 59.45945946 59.66735967 59.87525988 60.08316008 60.29106029 60.4989605 60.70686071 60.91476091 61.12266112 61.33056133 61.53846154 61.74636175

87.5 87.4 87.4 86.8 86.8 86.7 86.7 86.7 86.6 86.6 86.5 86.5 86.4 86.4 86.3 85.9 85.9 85.7 85.6 85.6 85.6 85.6 85.6 Data Diurutkan 82.4 82.4 82.3 82.3 82.3 82.3 82.3 82.3 82.3 82.3 82.3 82.3 82.2 82.1 82.1 81.9 81.6 81.5 81.4 81.4 81.4 81.4 81.3 81.3

251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 Ranking Data 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344

52.18295218 52.39085239 52.5987526 52.80665281 53.01455301 53.22245322 53.43035343 53.63825364 53.84615385 54.05405405 54.26195426 54.46985447 54.67775468 54.88565489 55.09355509 55.3014553 55.50935551 55.71725572 55.92515593 56.13305613 56.34095634 56.54885655 56.75675676 Probabilitas (%) 66.73596674 66.94386694 67.15176715 67.35966736 67.56756757 67.77546778 67.98336798 68.19126819 68.3991684 68.60706861 68.81496881 69.02286902 69.23076923 69.43866944 69.64656965 69.85446985 70.06237006 70.27027027 70.47817048 70.68607069 70.89397089 71.1018711 71.30977131 71.51767152

83.4 83.4 83.4 83.4 83.4 83.2 83.2 83.1 82.9 82.9 82.8 82.7 82.6 82.6 82.6 82.5 82.5 82.5 82.5 82.5 82.4 82.4 82.4 Data Diurutkan 79.4 79.4 79.4 79.4 79.3 79.3 78.9 78.9 78.9 78.9 78.5 78.5 78.5 78.4 78.4 78.3 78.3 78.3 78.2 77.8 77.6 77.6 77.2 76.9

298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 Ranking Data 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391

61.95426195 62.16216216 62.37006237 62.57796258 62.78586279 62.99376299 63.2016632 63.40956341 63.61746362 63.82536383 64.03326403 64.24116424 64.44906445 64.65696466 64.86486486 65.07276507 65.28066528 65.48856549 65.6964657 65.9043659 66.11226611 66.32016632 66.52806653 Probabilitas (%) 76.50727651 76.71517672 76.92307692 77.13097713 77.33887734 77.54677755 77.75467775 77.96257796 78.17047817 78.37837838 78.58627859 78.79417879 79.002079 79.20997921 79.41787942 79.62577963 79.83367983 80.04158004 80.24948025 80.45738046 80.66528067 80.87318087 81.08108108 81.28898129

81.2 81.2 81.2 81.2 80.9 80.7 80.5 80.5 80.4 80.3 80.3 80.2 80.2 80.1 80.1 80.1 80.1 79.7 79.6 79.6 79.6 79.5 79.5 Data Diurutkan 75.6 75.6 75.6 75.6 75.6 75.5 75.3 75.3 74.9 74.9 74.6 74.6 74.6 74.5 74.5 74.5 74.5 74.5 74.5 73.9 73.7 73.6 73.6 73.5

345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 Ranking Data 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438

71.72557173 71.93347193 72.14137214 72.34927235 72.55717256 72.76507277 72.97297297 73.18087318 73.38877339 73.5966736 73.8045738 74.01247401 74.22037422 74.42827443 74.63617464 74.84407484 75.05197505 75.25987526 75.46777547 75.67567568 75.88357588 76.09147609 76.2993763 Probabilitas (%) 86.27858628 86.48648649 86.69438669 86.9022869 87.11018711 87.31808732 87.52598753 87.73388773 87.94178794 88.14968815 88.35758836 88.56548857 88.77338877 88.98128898 89.18918919 89.3970894 89.6049896 89.81288981 90.02079002 90.22869023 90.43659044 90.64449064 90.85239085 91.06029106

76.8 76.8 76.8 76.7 76.7 76.6 76.6 76.5 76.5 76.5 76.5 76.4 76.4 76.4 76.3 76.3 76.2 76 75.9 75.9 75.8 75.8 75.7 Data Diurutkan 72.4 72.4 72.3 72.3 72.3 72.3 72.3 72.3 72.3 72.3 72.3 72.3 71.9 71.9 71.7 71.5 71.5 71.5 71.5 71.4 71.4 71.4 71.2 71.2

392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 Ranking Data 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480

81.4968815 81.7047817 81.91268191 82.12058212 82.32848233 82.53638254 82.74428274 82.95218295 83.16008316 83.36798337 83.57588358 83.78378378 83.99168399 84.1995842 84.40748441 84.61538462 84.82328482 85.03118503 85.23908524 85.44698545 85.65488565 85.86278586 86.07068607 Probabilitas (%) 96.04989605 96.25779626 96.46569647 96.67359667 96.88149688 97.08939709 97.2972973 97.50519751 97.71309771 97.92099792 98.12889813 98.33679834 98.54469854 98.75259875 98.96049896 99.16839917 99.37629938 99.58419958 99.79209979

73.5 73.4 73.4 73.4 73.4 72.9 72.9 72.8 72.8 72.6 72.6 72.6 72.5 72.5 72.5 72.5 72.5 72.5 72.5 72.5 72.5 72.4 72.4 Data Diurutkan 62.5 62.3 61.7 61.2 60.9 60.9 60.5 60.2 59.8 59.4 56.4 54.6 53.7 53.4 52.3 50.6 48.3 46.7 43.4

439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461

91.26819127 91.47609148 91.68399168 91.89189189 92.0997921 92.30769231 92.51559252 92.72349272 92.93139293 93.13929314 93.34719335 93.55509356 93.76299376 93.97089397 94.17879418 94.38669439 94.59459459 94.8024948 95.01039501 95.21829522 95.42619543 95.63409563 95.84199584

71.2 71.2 71.2 71.2 70.9 70.5 70.4 69.9 69.6 69.5 69.4 68.5 67.7 67.6 67.5 67.4 67.3 66.8 65.7 65.4 63.4 63.4 63.4

Dengan Interpolasi didapat: Debit (m3/s) Andalan Q80 74.5 Q90 71.5 Q95 65.755

Kurva Durasi Debit Sungai Sario 120

Debit (m3/s)

100 80 60 40 20 0

0

20

40

60 Probabilitas (%)

80

100

120