際際滷

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DAS PROGO
JUMO
MENGANALISA MISSING DATA
DALAM PENGISIAN DATA YANG HILANG (MISSING DATA) , ADA 3 MACAM
CARA YANG DAPAT DIGUNAKAN YAITU :
 CARAALJABAR
 CARA PERBANDINGAN NORMAL
 CARA KEBALIKAN KUADRAT JARAK ( RECIPROCAL METHODE )
DALAM PENGERJAAN INI KAMI MENGGUNAKAN PERBANDINGAN NORMAL
KENAPA?
CARA PERBANDINGAN NORMAL :
Digunakan jika perbedaan curah hujan tahunan normal di
Sta. terdekat > 10% dari Stasiun yang kehilangan data tsb.


































N
N
x
b
b
x
a
a
x
x
N
P
N
N
P
N
N
P
N
N
P .....
1
Px = Curah hujan di Stasiun X yang datanya missing.
Nx = Curah hujan tahunan rata-rata di Stasiun X.
Pa, Pb, Pn = Curah hujan di Stasiun A, B ... , N ada saat tertentu.
Na, Nb, Nn = Curah hujan tahunan rata-rata di Stasiun A, B, ..., N
 CONTOH
PERHITUNGAN:
Nama Stasiun
Curah Hujan
Tahunan Rata-rata
NA Candiroto 2831,43
NB Jumprit 1930,29
NC Jumo 2226,57
ND Ngadirejo 2266,43
  %
83
,
31
%
83
,
31
43
,
2831
%
100
43
,
2831
29
,
1930



 x
Perbedaan B  A :
Perbedaan C  A :  %
36
,
21
%
36
,
21
43
,
2831
%
100
43
,
2831
57
,
2226



 x
Perbedaan D  A :  %
37
,
21
%
37
,
21
43
,
2831
%
100
43
,
2831
43
,
2226



 x
BEDA > 10%  PAKAI METODA PERBANDINGAN NORMAL
RATA-RATA=
24,85%
DATA YANG HILANG
Sta. Candiroto
No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September Oktober November Desember
1 1991 44 47 97 26 22 16 4 13 19 45 78 53
2 1992 56 33 55 44 32 4 21 2 63 0 11 21
3 1993 88 49 58 77 44 8 0 0 52 11 112 55
4 1994 29 92 41 78 56 44 8 0 0 0 42 56
5 1995 74 38 55 24 23 72 44 3 21 43 53 52
6 1996 47 77 44 74 84 44 56 48 45 55 78 55
7 1997 73 58 65 62 51 32 14 30 25 55 55 77
8 1998 52 110 41 66 45 23 25 21 56 42 54 28
9 1999 77 65 57 55 76 16 27 39 11 58 81 71
10 2000 26 54 60 52 30 12 8 8 29 69 61 14
11 2001 51 31 71 36 37 3 24 0 36 56 96 52
12 2002 96 66 61 89 21 8 27 2 19 22 69 77
13 2003 99 112 73 29 45 51 0 25 29 66 66 61
14 2004 99 66 68 63 66 41 61 0 48 63 67 113
15 2005 117 103 80 116 84 122 81 47 49 196 61 201
16 2006 71 102 91 113 108 5 43 0 0 0 87 183
17 2007 109 35 152 157 19 41 21 0 12 44 65 71
18 2008 122 70 93 119 43 8 11 36 0 0 65 109
19 2009 109 60 225 0 0 0 0
20 2010 164 57 54 57 115 56 45 53 83 65 63
21 2011 22 62 82 48 52 23 17 10 18 53 61 56
Sta. Jumprit
No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September
Oktobe
r
November Desember
1 1991 57 92 66 69 24 1 4 0 3 27 67 92
2 1992 32 47 32 47 24 16 4 27 34 27 19 27
3 1993 98 27 92 64 72 56 0 3 47 24 41 15
4 1994 60 34 47 23 12 0 0 0 0 23 49 18
5 1995 97 94 42 28 81 68 7 0 30 59 81 51
6 1996 39 66 62 40 34 12 26 36 14 72 52 61
7 1997 36 39 39 36 46 29 0 0 0 0 90 65
8 1998 60 31 41 53 65 85 40 25 40 47 50 65
9 1999 62 30 34 18 18 0 84 17 46 41 39
10 2000 37 22 31 32 28 32 46 39 18 37 39 37
11 2001 35 29 37 81 27 26 28 36 34 42 46 67
12 2002 49 39 41 52 27 4 38 46 15 61 79 96
13 2003 76 24 42 26 18 0 0 13 55 62 37 34
14 2004 43 40 41 22 46 11 41 0 29 41 36 44
15 2005 31 36 36 36 39 7 11 6 31 35 19 48
16 2006 49 34 30 48 24 36 21 29 0 21 36 61
17 2007 56 39 46 36 27 15 3 7 9 24 23 36
18 2008 38 42 32 25 21 0 0 37 18 37 62 36
19 2009 32 39 39 24 19 6 26 13 9 39 45 30
20 2010 39 42 37 32 34 26 17 42 66 52 37 41
21 2011 27 16 76 37 29 27 29 0 14 39 34 39
Sta. Jumo
No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September Oktober November Desember
1 1991 90 37 75 60 31 2 0 0 4 20 75 107
2 1992 80 60 78 52 27 65 65 37 30 36 58 64
3 1993 57 80 60 100 80 75 0 18 26 25 70 25
4 1994 89 168 70 30 31 0 0 0 0 23 110 13
5 1995 100 143 71 73 86 76 27 0 36 64 72 50
6 1996 50 98 58 76 27 27 17 34 18 82 37 63
7 1997 40 61 43 91 108 17 0 0 0 41 23 58
8 1998 78 89 40 90 60 61 38 35 25 52 30 55
9 1999 108 56 29 48 85 11 34 9 50 39 52 125
10 2000 64 34 73 94 20 21 3 40 35 16 46 45
11 2001 44 54 58
12 2002 26 88 100 67 29 6 14 10 0 17 19 19
13 2003 50 36 60 90 16 12 13 12 20 34 30 30
14 2004 50 63 60 25 40 10 36 0 10 15 30 30
15 2005 40 40 27 31 30 50 30 15 13 60 11 33
16 2006 40 56 46 43 31 16 14 15 0 12 39 60
17 2007 47 30 49 45 25 11 19 0 5 49 30 26
18 2008 40 39 60 50 75 14 0 30 18 27 60 52
19 2009 37 36 45 21 13 8 7 10 12 15 65 53
20 2010 30 67 49 67 45 81 30 19 80 68 41 37
21 2011 40 20 87 31 28 3 19 0 10 38 27 28
Sta. Ngadiroejo
No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September Oktober November
Desembe
r
1 1991 48 59 52 52 44 0 0 0 2 31 36 36
2 1992 36 53 51 92 76 27 8 33 22 24 86 82
3 1993 74 36 83 62 108 73 0 32 33 36 112 62
4 1994 72 43 76 24 8
5 1995 56 81 48 34 37 72 7 0 8 64 63 60
6 1996 71 63 88 36 21 8 8 72 19 50 47 58
7 1997 51 51 54 29 32 0 0 0 0 9 42 41
8 1998 53 92 48 78 41 27 48 3 0 41 46 44
9 1999 73 34 53 26 47 11 3 31 9 37 58 48
10 2000 39 33 51 32 21 16 2 13 26 43 53 42
11 2001 51 27 97 62 32 32 12 0 37 33 63 43
12 2002 60 49 68 66 47 22 21 7 0 0 65 40
13 2003 63 110 64 69 18 11 2 9 7 30 70 56
14 2004 63 44 36 56 61 8 0 0 35 7 25 67
15 2005 57 81 44 38 73 63 27 41 28 0 19 59
16 2006 77 85 60 43 70 65 16 32 43 43 36 39
17 2007 82 52 41 52 32 15 3 5 7 16 31 45
18 2008 51 27 97 78 41 27 48 3 32 36 112 62
19 2009 59 57 33 34 29 45 0 0 0 0 49 80
20 2010 49 42 40 80 92 83 47 48 73 67 37 50
21 2011 25 50 50 29 61 8 8 28 29 97 64 50
ANALISA MISSING DATA
 CARA PERBANDINGAN NORMAL
CONTOH
DIKETAHUI PADA STASIUN CANDIROTO TAHUN 2009 TERDAPAT MISSING DATA.
Tahun April Mei Juni
Novemb
er
Desembe
r
2009
Jumo 21 13 8 65 53
Jumprit 24 19 6 45 30
Ngadirejo 34 29 45 49 80
Perhitungan untuk missing data
pada stasiun candiroto(April
2009):
Demikian pula pada data yang hilang yang lainnya



























43
,
2266
34
43
,
2831
57
,
2226
24
43
,
2831
29
,
1930
21
43
,
2831
3
1 x
x
x
PA
Nama Stasiun
Curah Hujan
Tahunan Rata-
rata
NA Candiroto 2831,43
NB Jumprit 1930,29
NC Jumo 2226,57
ND Ngadirejo 2266,43
36
DATA SETELAH PERHITUNGAN
Stasiun Candiroto
No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September Oktober November Desember
1 1991 44 47 97 26 22 16 4 13 19 45 78 53
2 1992 56 33 55 44 32 4 21 2 42 0 11 21
3 1993 88 49 58 77 44 8 0 0 52 11 112 55
4 1994 29 92 41 78 56 44 8 0 0 0 42 56
5 1995 74 38 55 24 23 72 44 3 21 43 53 52
6 1996 47 77 44 74 84 44 56 48 45 55 78 55
7 1997 73 58 65 62 51 32 14 30 25 55 55 77
8 1998 52 110 41 66 45 23 25 21 56 42 54 28
9 1999 77 65 57 55 76 16 27 39 11 58 81 71
10 2000 26 54 60 52 30 12 8 8 29 69 61 14
11 2001 51 31 71 36 37 3 24 0 36 56 96 52
12 2002 96 66 61 89 21 8 27 2 19 22 69 77
13 2003 99 112 73 29 45 51 0 25 29 66 66 61
14 2004 99 66 68 63 66 41 61 0 48 63 67 113
15 2005 117 103 80 116 84 122 81 47 49 196 61 201
16 2006 71 102 91 113 108 5 43 0 0 0 87 183
17 2007 109 35 152 157 19 41 21 0 12 44 65 71
18 2008 122 70 93 119 43 8 11 36 0 0 65 109
19 2009 109 60 225 35 27 25 0 0 0 0 70 70
20 2010 52 164 57 54 57 115 56 45 53 83 65 63
21 2011 22 62 82 48 52 23 17 10 18 53 61 56
Stasiun Jumprit
No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September Oktober November Desember
1 1991 57 92 66 69 24 1 4 0 3 27 67 92
2 1992 32 47 32 47 24 16 4 27 34 27 19 27
3 1993 98 27 92 64 72 56 0 3 47 24 41 15
4 1994 60 34 47 23 12 0 0 0 0 23 49 18
5 1995 97 94 42 28 81 68 7 0 30 59 81 51
6 1996 39 66 62 40 34 12 26 36 14 72 52 61
7 1997 36 39 39 36 46 29 0 0 0 0 90 65
8 1998 60 31 41 53 65 85 40 25 40 47 50 65
9 1999 62 30 36 34 18 18 0 84 17 46 41 39
10 2000 37 22 31 32 28 32 46 39 18 37 39 37
11 2001 35 29 37 81 27 26 28 36 34 42 46 67
12 2002 49 39 41 52 27 4 38 46 15 61 79 96
13 2003 76 24 42 26 18 0 0 13 55 62 37 34
14 2004 43 40 41 22 46 11 41 0 29 41 36 44
15 2005 31 36 36 36 39 7 11 6 31 35 19 48
16 2006 49 34 30 48 24 36 21 29 0 21 36 61
17 2007 56 39 46 36 27 15 3 7 9 24 23 36
18 2008 38 42 32 25 21 0 0 37 18 37 62 36
19 2009 32 39 39 24 19 6 26 13 9 39 45 30
20 2010 39 42 37 32 34 26 17 42 66 52 37 41
21 2011 27 16 76 37 29 27 29 0 14 39 34 39
Stasiun Jumo
No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September Oktober November Desember
1 1991 90 37 75 60 31 2 0 0 4 20 75 107
2 1992 80 60 78 52 27 65 65 37 30 36 58 64
3 1993 57 80 60 100 80 75 0 18 26 25 70 25
4 1994 89 168 70 30 31 0 0 0 0 23 110 13
5 1995 100 143 71 73 86 76 27 0 36 64 72 50
6 1996 50 98 58 76 27 27 17 34 18 82 37 63
7 1997 40 61 43 91 108 17 0 0 0 41 23 58
8 1998 78 89 40 90 60 61 38 35 25 52 30 55
9 1999 108 56 29 48 85 11 34 9 50 39 52 125
10 2000 64 34 73 94 20 21 3 40 35 16 46 45
11 2001 44 54 58 61 31 21 21 14 35 42 63 53
12 2002 26 88 100 67 29 6 14 10 0 17 19 19
13 2003 50 36 60 90 16 12 13 12 20 34 30 30
14 2004 50 63 60 25 40 10 36 0 10 15 30 30
15 2005 40 40 27 31 30 50 30 15 13 60 11 33
16 2006 40 56 46 43 31 16 14 15 0 12 39 60
17 2007 47 30 49 45 25 11 19 0 5 49 30 26
18 2008 40 39 60 50 75 14 0 30 18 27 60 52
19 2009 37 36 45 21 13 8 7 10 12 15 65 53
20 2010 30 67 49 67 45 81 30 19 80 68 41 37
21 2011 40 20 87 31 28 3 19 0 10 38 27 28
Sta. Ngadiroejo
No Tahun Januari Febuari Maret April Mei Juni Juli Agustus
Septemb
er
Oktober November Desember
1 1991 48 59 52 52 44 0 0 0 2 31 36 36
2 1992 36 53 51 92 76 27 8 33 22 24 86 82
3 1993 74 36 83 62 108 73 0 32 33 36 112 62
4 1994 72 43 76 24 8 15 3 0 0 15 67 29
5 1995 56 81 48 34 37 72 7 0 8 64 63 60
6 1996 71 63 88 36 21 8 8 72 19 50 47 58
7 1997 51 51 54 29 32 0 0 0 0 9 42 41
8 1998 53 92 48 78 41 27 48 3 0 41 46 44
9 1999 73 34 53 26 47 11 3 31 9 37 58 48
10 2000 39 33 51 32 21 16 2 13 26 43 53 42
11 2001 51 27 97 62 32 32 12 0 37 33 63 43
12 2002 60 49 68 66 47 22 21 7 0 0 65 40
13 2003 63 110 64 69 18 11 2 9 7 30 70 56
14 2004 63 44 36 56 61 8 0 0 35 7 25 67
15 2005 57 81 44 38 73 63 27 41 28 0 19 59
16 2006 77 85 60 43 70 65 16 32 43 43 36 39
17 2007 82 52 41 52 32 15 3 5 7 16 31 45
18 2008 51 27 97 78 41 27 48 3 32 36 112 62
19 2009 59 57 33 34 29 45 0 0 0 0 49 80
20 2010 49 42 40 80 92 83 47 48 73 67 37 50
21 2011 25 50 50 29 61 8 8 28 29 97 64 50
Rata-rata 57,62 55,67 58,76 51,05 47,19 29,74 12,48 17,00 19,52 32,41 56,21 51,90
Total Rata-rata 489,54
MENGUJI KONSISTENSI DATA HUJAN
DATA HUJAN YANG KITA PEROLEH PADA STASIUN PENGAMAT MUNGKIN DATA YANG
TIDAK KONSISTEN, HAL INI DIKARENAKAN BEBERAPA FAKTOR ANTARA LAIN :
1. PERPINDAHAN LOKASI PENGUKURAN
2. PERUBAHAN ALAT UKUR
3. PENGGANTIAN PENGAMAT , DLL
UNTUK MENGUJI DATA HUJAN, SALAH SATU PENDEKATAN YANG DAPAT DILAKUKAN
ADALAH ANALISIS MASSA GANDA ( DOUBLE MASS CURVE ANALYSIS ) , YAITU MENGUJI
KONSISTENSI HASIL PENGUKURAN PADA SUATU STASIUN DAN MEMBANDINGKAN
AKUMULASI DARI HUJAN YANG BERSAMAAN UNTUK SUATU KUMPULAN STASIUN YANG
MENGELILINGINYA.
DATA CURAH HUJAN SEBELUM DIKOREKSI
NO Tahun
Stasiun Pencatat Hujan Rata-rata Kumulatif 1
Candiroto Jumprit Jumo Ngadirejo Stasiun Acuan Sta. Jumo Sta. Acuan
1 1991 97 92 107 59 83 107 83
2 1992 63 47 80 86 65 187 148
3 1993 112 98 100 112 107 287 256
4 1994 92 60 110 76 76 397 332
5 1995 74 81 143 81 79 540 410
6 1996 84 72 98 88 81 638 492
7 1997 77 90 108 54 74 746 565
8 1998 110 85 90 92 96 836 661
9 1999 81 84 125 73 79 961 740
10 2000 69 39 94 53 54 1055 794
11 2001 96 81 68 97 91 1123 885
12 2002 96 96 100 68 87 1223 972
13 2003 112 76 90 110 99 1313 1071
14 2004 113 46 63 63 74 1376 1145
15 2005 201 48 60 81 110 1436 1255
16 2006 183 61 56 85 110 1492 1365
17 2007 157 56 49 82 98 1541 1463
18 2008 122 62 75 112 99 1616 1562
19 2009 225 45 65 80 117 1681 1679
20 2010 164 66 81 92 107 1762 1786
21 2011 82 76 87 97 85 1849 1871
MENGUJI KONSISTENSI DATA HUJAN
37
,
1
1055
1849
794
1871





933
,
0
107
1055
83
794





68
,
0
37
,
1
933
,
0





FK
Kemiringan kurva sesudah patahan :
Faktor koreksi :
Kemiringan kurva sebelum patahan :
Data yang dikoreksi tahun 1991 s/d 2001
Jika F.Koreksi sebelum dibagi sesudah patahan :
FK = 0,68  Data : F.Koreksi sbb. : 107 x 0,68
=73
y = 1.0023x - 127.6
R族 = 0.9694
-500
0
500
1000
1500
2000
0 200 400 600 800 1000 1200 1400 1600 1800 2000
Uji Konsistensi Sta Jumo
DATA CURAH HUJAN SETELAH DIKOREKSI
NO Tahun
Stasiun Pencatat Hujan Rata-rata Kumulatif 1
Candiroto Jumprit Jumo Ngadirejo Stasiun Acuan Sta. Jumo Sta. Acuan
1 1991 97 92 73 59 83 73 83
2 1992 63 47 54 86 65 127 148
3 1993 112 98 40 112 107 168 256
4 1994 92 60 44 76 76 212 332
5 1995 74 81 57 81 79 269 410
6 1996 84 72 39 88 81 309 492
7 1997 77 90 74 54 74 382 565
8 1998 110 85 61 92 96 443 661
9 1999 81 84 85 73 79 529 740
10 2000 69 39 64 53 54 593 794
11 2001 96 81 68 97 91 661 885
12 2002 96 96 100 68 87 761 972
13 2003 112 76 90 110 99 851 1071
14 2004 113 46 63 63 74 914 1145
15 2005 201 48 60 81 110 974 1255
16 2006 183 61 56 85 110 1030 1365
17 2007 157 56 49 82 98 1079 1463
18 2008 122 62 75 112 99 1154 1562
19 2009 225 45 65 80 117 1219 1679
20 2010 164 66 81 92 107 1300 1786
21 2011 82 76 87 97 85 1387 1871
y = 1.3167x + 25.55
R族 = 0.9938
0
200
400
600
800
1000
1200
1400
1600
1800
2000
0 200 400 600 800 1000 1200 1400 1600
Uji Konsistensi Sta Jumo (Sesudah)
MENGHITUNG HUJAN RATA-RATA DAS
ADA 3 MACAM CARA YANG DAPAT DIGUNAKAN UNTUK MENGHITUNG
HUJAN LOKAL (POINT RAINFALL) MENJADI HUJAN RATA-RATA DAS
(AREAL RAINFALL) YAITU :
1. METODE RATA-RATA ALJABAR.
2. METODE POLIGON THIESSEN.
3. METODE ISOHYET.
1. METODE RATA-RATA ALJABAR
Tahun Tanggal
Curah Hujan Harian Maksimum
Candiroto Jumprit Jumo Ngadirejo
1991
07-Mar 196 0 0 0
19-Feb 45 92 0 19
30-Des 8 92 56 31
18 Febuari 0 63 14 59
P = HUJAN RATA-RATA
PI = TINGGI CURAH HUJAN DISTASIUN I, I = 1, ,N. 


n
i
Pi
n
P
1
1
Contoh perhitungan pada
tanggal 30 Desember 1991:
  mm
P 75
,
46
31
56
92
8
4
1





Lakukan pada tanggal dan tahun
yang berikutnya dan cari nilai hujan
rata-rata tertinggi pada tiap tahun
PERHITUNGAN RATA-RATA
Tahun Tanggal
Curah Hujan Harian Maksimum
R(mm) Rmax(mm)
Candiroto Jumprit Jumo
Ngadirej
o
1991
07-Mar 189 0 0 0 47,3
51
19-Feb 45 92 0 19 39,0
30-Des 8 92 73 31 51,0
18 Febuari 0 63 14 59 34,0
1992
26-Jan 123 16 0 24 40,8
40,8
13-Apr 1 47 4 12 16,0
14-Jan 0 29 54 36 29,8
27-Apr 0 18 50 92 40,0
1993
30-Nov 218 4 30 112 91,0
91
30-Jan 8 98 27 19 38,0
09-Apr 0 0 40 1 10,3
30-Nov 112 4 30 112 64,5
1994
16 Febuari 179 0 48 0 56,8
56,8
26-Jan 0 60 0 2 15,5
14 Febuari 2 0 44 43 22,3
23-Mar 4 47 6 76 33,3
1995
01-Jan 144 7 0 0 37,8
62,8
03-Jan 5 97 100 49 62,8
4 Febuari 3 0 57 81 35,3
4 Febuari 3 0 143 81 56,8
1996
27-Mei 164 0 0 0 41,0
51,0
03-Okt 0 72 82 50 51,0
19
Febuari
0 31 39 0 17,5
03-Mar 0 4 14 88 26,5
1997
28-Des 150 0 0 39 47,3
50,8
15-Nov 23 90 0 0 28,3
03-Mei 51 46 74 32 50,8
27-Mar 4 11 41 54 27,5
1998
5 Febuari 214 0 15 5 58,5
58,5
14-Jun 5 85 0 0 22,5
04-Apr 0 3 61 0 16,0
16
Febuari
7 0 17 92 29,0
1999
09-Nov 158 24 52 41 68,8
41,5
27-Agu 7 84 9 0 25,0
22-Des 36 21 85 16 39,5
29-Jan 77 2 14 73 41,5
2000
17-Okt 134 37 6 8 46,3
46,3
26-Jul 8 39 0 0 11,08
27-Apr 48 6 64 14 33,0
23-Nov 11 39 25 53 32,0
2001
02-Nov 187 24 1 63 68,8
68,8
14-Apr 2 81 14 0 24,3
17-Nov 5 46 68 43 40,5
07-Mar 11 36 0 97 36,0
2002
11-Jan 96 0 7 1 26,0
41,3
25-Des 2 96 0 40 34,5
29-Mar 61 4 100 0 41,3
30-Mar 44 0 0 68 28,0
2003
5 Febuari 112 0 36 110 64,5
64,5
10-Jan 0 76 10 0 21,5
07-Apr 29 21 90 3 35,8
5 Febuari 112 0 36 110 64,5
2004
25-Des 113 19 0 4 34,0
34
27-Mei 22 46 6 5 19,8
21
Febuari
33 1 63 5 25,5
24-Des 41 4 0 67 28,0
2005
17-Des 201 4 8 57 67,5
67,5
29-Des 41 48 15 18 30,5
23-Okt 9 35 60 0 26,0
11 Febuari 53 0 0 81 33,5
2006
14-Des 183 27 0 0 52,5
52,5
26-Des 69 61 15 15 40,0
13-Des 0 8 60 39 26,8
1 Febuari 0 34 12 85 32,8
2007
21-Apr 57 0 0 0 14,3
49
27-Jan 15 56 47 56 43,5
13-Mar 5 0 49 0 13,5
31-Jan 109 2 3 82 49,0
2008
25-Jan 122 0 0 0 30,5
30,8
01-Nov 20 62 60 0 35,5
05-Mei 43 2 75 3 30,8
30-Nov 3 0 7 112 30,5
2009
10-Mar 225 3 0 24 63,0
63
29-Nov 40 45 65 10 40,0
29-Nov 40 45 65 10 40,0
30-Des 26 0 0 80 26,5
2010
16
febuari
164 27 45 41 69,3
69,3
09-Sep 16 66 16 0 24,5
08-Jun 0 0 81 83 41,0
03-Mei 57 0 0 92 37,3
2011
27-Mar 82 2 0 19 25,8
55,8
26-Mar 10 76 87 50 55,8
26-Mar 10 76 87 50 55,8
29-Okt 53 31 8 97 47,3
2. METODE POLIGON THEISSEN
FAKTOR PEMBOBOT AREA PADA DPS KALI
BODRI METODE THIESSEN
No. Nama Stasiun Luas (Km2
) Bobot (%)
1 Candiroto 2,451 4,14
2 Jumprit 19,694 33,28
3 Jumo 20,431 34,53
4 Ngadirejo 16,601 28,05
Total 59,177 100,00
PERHITUNGAN METODE POLIGON THEISSEN
Tahun Tanggal
Curah Hujan Harian Maksimum
R(mm)
Candiroto Jumprit Jumo Ngadirejo
0,0414 0,3328 0,3453 0,2805
1991
07-Mar 196 0 0 0 8,11
19-Feb 45 92 0 19 37,81
30-Des 8 92 56 31 58,98
18 Febuari 0 63 14 59 42,35



n
n
n
A
P
A
P
Rumus
_
: DAS
hujanrata
P 2
_

Contoh perhitungan pada tanggal 30 Desember 1991:
       
 
2805
,
0
3453
,
0
3328
,
0
0414
,
0
2805
,
0
31
3453
,
0
56
3328
,
0
92
0414
,
0
8
_







x
x
x
x
P
mm
P 98
,
58
_
 Lakukan perhitungan pada setiap
tanggal dan tahun berikutnya dan cari
nilai curah hujan rata-rata tertinggi
CARA MEMPERSIAPKAN DATA CURAH HUJAN
Tahun Tanggal
Curah Hujan Harian Maksimum
R(mm) Rmax (mm)
Candirot
o
Jumprit Jumo
Ngadirej
o
0,0414 0,3328 0,3453 0,2805
1991
07-Mar 189 0 0 0 7,82
64,85
19-Feb 45 92 0 19 37,81
30-Des 8 92 73 31 64,85
18
Febuari
0 63 14 59 42,35
1992
26-Jan 123 16 0 24 17,15
49,06
13-Apr 1 47 4 12 20,43
14-Jan 0 29 54 36 38,40
27-Apr 0 18 50 92 49,06
1993
30-Nov 218 4 30 112 52,13
52,13
30-Jan 8 98 27 19 47,60
09-Apr 0 0 40 1 14,09
30-Nov 112 4 30 112 47,74
1994
16
Febuari
179 0 48 0 23,99
39,2
26-Jan 0 60 0 2 20,53
14
Febuari
2 0 44 43 27,34
23-Mar 4 47 6 76 39,20
1995
01-Jan 144 7 0 0 8,29
80,76
03-Jan 5 97 100 49 80,76
4 Febuari 3 0 57 81 42,53
4 Febuari 3 0 143 81 72,22
1996
27-Mei 164 0 0 0 6,79
57,32
03-Okt 0 72 82 50 66,30
19
Febuari
0 31 39 0 23,78
03-Mar 0 4 14 88 30,85
1997
28-Des 150 0 0 39 17,15
51,95
15-Nov 23 90 0 0 30,90
03-Mei 51 46 74 32 51,95
27-Mar 4 11 41 54 33,13
1998
5 Febuari 214 0 15 5 15,44
31,97
14-Jun 5 85 0 0 28,50
04-Apr 0 3 61 0 22,06
16
Febuari
7 0 17 92 31,97
1999
09-Nov 158 24 52 41 43,98
43,98
27-Agu 7 84 9 0 31,35
22-Des 36 21 85 16 42,32
29-Jan 77 2 14 73 29,16
2000
17-Okt 134 37 6 8 22,18
36,93
26-Jul 8 39 0 0 13,31
27-Apr 48 6 64 14 30,01
23-Nov 11 39 25 53 36,93
2001
02-Nov 187 24 1 63 33,75
51,06
14-Apr 2 81 14 0 31,87
17-Nov 5 46 68 43 51,06
07-Mar 11 36 0 97 39,64
2002
11-Jan 96 0 7 1 6,67
43,25
25-Des 2 96 0 40 43,25
29-Mar 61 4 100 0 38,39
30-Mar 44 0 0 68 20,90
2003
5 Febuari 112 0 36 110 47,92
47,92
10-Jan 0 76 10 0 28,75
07-Apr 29 21 90 3 40,11
5 Febuari 112 0 36 110 47,92
2004
25-Des 113 19 0 4 12,12
24,86
27-Mei 22 46 6 5 19,69
21
Febuari
33 1 63 5 24,86
24-Des 41 4 0 67 21,82
2005
17-Des 201 4 8 57 28,40
32,74
29-Des 41 48 15 18 27,90
23-Okt 9 35 60 0 32,74
11 Febuari 53 0 0 81 24,91
2006
14-Des 183 27 0 0 16,56
39,3
26-Des 69 61 15 15 32,54
13-Des 0 8 60 39 34,32
1
Febuari
0 34 12 85 39,30
2007
21-Apr 57 0 0 0 2,36
51,19
27-Jan 15 56 47 56 51,19
13-Mar 5 0 49 0 17,13
31-Jan 109 2 3 82 29,22
2008
25-Jan 122 0 0 0 5,05
42,18
01-Nov 20 62 60 0 42,18
05-Mei 43 2 75 3 29,18
30-Nov 3 0 7 112 33,96
2009
10-Mar 225 3 0 24 17,05
41,88
29-Nov 40 45 65 10 41,88
29-Nov 40 45 65 10 41,88
30-Des 26 0 0 80 23,52
2010
16
febuari
164 27 45 41 42,81
51,25
09-Sep 16 66 16 0 28,15
08-Jun 0 0 81 83 51,25
03-Mei 57 0 0 92 28,17
2011
27-Mar 82 2 0 19 9,39
69,77
26-Mar 10 76 87 50 69,77
26-Mar 10 76 87 50 69,77
29-Okt 53 31 8 97 42,48
SEKIAN TERIMA KASIH

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hiter.pptx

  • 2. MENGANALISA MISSING DATA DALAM PENGISIAN DATA YANG HILANG (MISSING DATA) , ADA 3 MACAM CARA YANG DAPAT DIGUNAKAN YAITU : CARAALJABAR CARA PERBANDINGAN NORMAL CARA KEBALIKAN KUADRAT JARAK ( RECIPROCAL METHODE ) DALAM PENGERJAAN INI KAMI MENGGUNAKAN PERBANDINGAN NORMAL KENAPA?
  • 3. CARA PERBANDINGAN NORMAL : Digunakan jika perbedaan curah hujan tahunan normal di Sta. terdekat > 10% dari Stasiun yang kehilangan data tsb. N N x b b x a a x x N P N N P N N P N N P ..... 1 Px = Curah hujan di Stasiun X yang datanya missing. Nx = Curah hujan tahunan rata-rata di Stasiun X. Pa, Pb, Pn = Curah hujan di Stasiun A, B ... , N ada saat tertentu. Na, Nb, Nn = Curah hujan tahunan rata-rata di Stasiun A, B, ..., N
  • 4. CONTOH PERHITUNGAN: Nama Stasiun Curah Hujan Tahunan Rata-rata NA Candiroto 2831,43 NB Jumprit 1930,29 NC Jumo 2226,57 ND Ngadirejo 2266,43 % 83 , 31 % 83 , 31 43 , 2831 % 100 43 , 2831 29 , 1930 x Perbedaan B A : Perbedaan C A : % 36 , 21 % 36 , 21 43 , 2831 % 100 43 , 2831 57 , 2226 x Perbedaan D A : % 37 , 21 % 37 , 21 43 , 2831 % 100 43 , 2831 43 , 2226 x BEDA > 10% PAKAI METODA PERBANDINGAN NORMAL RATA-RATA= 24,85%
  • 5. DATA YANG HILANG Sta. Candiroto No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September Oktober November Desember 1 1991 44 47 97 26 22 16 4 13 19 45 78 53 2 1992 56 33 55 44 32 4 21 2 63 0 11 21 3 1993 88 49 58 77 44 8 0 0 52 11 112 55 4 1994 29 92 41 78 56 44 8 0 0 0 42 56 5 1995 74 38 55 24 23 72 44 3 21 43 53 52 6 1996 47 77 44 74 84 44 56 48 45 55 78 55 7 1997 73 58 65 62 51 32 14 30 25 55 55 77 8 1998 52 110 41 66 45 23 25 21 56 42 54 28 9 1999 77 65 57 55 76 16 27 39 11 58 81 71 10 2000 26 54 60 52 30 12 8 8 29 69 61 14 11 2001 51 31 71 36 37 3 24 0 36 56 96 52 12 2002 96 66 61 89 21 8 27 2 19 22 69 77 13 2003 99 112 73 29 45 51 0 25 29 66 66 61 14 2004 99 66 68 63 66 41 61 0 48 63 67 113 15 2005 117 103 80 116 84 122 81 47 49 196 61 201 16 2006 71 102 91 113 108 5 43 0 0 0 87 183 17 2007 109 35 152 157 19 41 21 0 12 44 65 71 18 2008 122 70 93 119 43 8 11 36 0 0 65 109 19 2009 109 60 225 0 0 0 0 20 2010 164 57 54 57 115 56 45 53 83 65 63 21 2011 22 62 82 48 52 23 17 10 18 53 61 56
  • 6. Sta. Jumprit No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September Oktobe r November Desember 1 1991 57 92 66 69 24 1 4 0 3 27 67 92 2 1992 32 47 32 47 24 16 4 27 34 27 19 27 3 1993 98 27 92 64 72 56 0 3 47 24 41 15 4 1994 60 34 47 23 12 0 0 0 0 23 49 18 5 1995 97 94 42 28 81 68 7 0 30 59 81 51 6 1996 39 66 62 40 34 12 26 36 14 72 52 61 7 1997 36 39 39 36 46 29 0 0 0 0 90 65 8 1998 60 31 41 53 65 85 40 25 40 47 50 65 9 1999 62 30 34 18 18 0 84 17 46 41 39 10 2000 37 22 31 32 28 32 46 39 18 37 39 37 11 2001 35 29 37 81 27 26 28 36 34 42 46 67 12 2002 49 39 41 52 27 4 38 46 15 61 79 96 13 2003 76 24 42 26 18 0 0 13 55 62 37 34 14 2004 43 40 41 22 46 11 41 0 29 41 36 44 15 2005 31 36 36 36 39 7 11 6 31 35 19 48 16 2006 49 34 30 48 24 36 21 29 0 21 36 61 17 2007 56 39 46 36 27 15 3 7 9 24 23 36 18 2008 38 42 32 25 21 0 0 37 18 37 62 36 19 2009 32 39 39 24 19 6 26 13 9 39 45 30 20 2010 39 42 37 32 34 26 17 42 66 52 37 41 21 2011 27 16 76 37 29 27 29 0 14 39 34 39
  • 7. Sta. Jumo No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September Oktober November Desember 1 1991 90 37 75 60 31 2 0 0 4 20 75 107 2 1992 80 60 78 52 27 65 65 37 30 36 58 64 3 1993 57 80 60 100 80 75 0 18 26 25 70 25 4 1994 89 168 70 30 31 0 0 0 0 23 110 13 5 1995 100 143 71 73 86 76 27 0 36 64 72 50 6 1996 50 98 58 76 27 27 17 34 18 82 37 63 7 1997 40 61 43 91 108 17 0 0 0 41 23 58 8 1998 78 89 40 90 60 61 38 35 25 52 30 55 9 1999 108 56 29 48 85 11 34 9 50 39 52 125 10 2000 64 34 73 94 20 21 3 40 35 16 46 45 11 2001 44 54 58 12 2002 26 88 100 67 29 6 14 10 0 17 19 19 13 2003 50 36 60 90 16 12 13 12 20 34 30 30 14 2004 50 63 60 25 40 10 36 0 10 15 30 30 15 2005 40 40 27 31 30 50 30 15 13 60 11 33 16 2006 40 56 46 43 31 16 14 15 0 12 39 60 17 2007 47 30 49 45 25 11 19 0 5 49 30 26 18 2008 40 39 60 50 75 14 0 30 18 27 60 52 19 2009 37 36 45 21 13 8 7 10 12 15 65 53 20 2010 30 67 49 67 45 81 30 19 80 68 41 37 21 2011 40 20 87 31 28 3 19 0 10 38 27 28
  • 8. Sta. Ngadiroejo No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September Oktober November Desembe r 1 1991 48 59 52 52 44 0 0 0 2 31 36 36 2 1992 36 53 51 92 76 27 8 33 22 24 86 82 3 1993 74 36 83 62 108 73 0 32 33 36 112 62 4 1994 72 43 76 24 8 5 1995 56 81 48 34 37 72 7 0 8 64 63 60 6 1996 71 63 88 36 21 8 8 72 19 50 47 58 7 1997 51 51 54 29 32 0 0 0 0 9 42 41 8 1998 53 92 48 78 41 27 48 3 0 41 46 44 9 1999 73 34 53 26 47 11 3 31 9 37 58 48 10 2000 39 33 51 32 21 16 2 13 26 43 53 42 11 2001 51 27 97 62 32 32 12 0 37 33 63 43 12 2002 60 49 68 66 47 22 21 7 0 0 65 40 13 2003 63 110 64 69 18 11 2 9 7 30 70 56 14 2004 63 44 36 56 61 8 0 0 35 7 25 67 15 2005 57 81 44 38 73 63 27 41 28 0 19 59 16 2006 77 85 60 43 70 65 16 32 43 43 36 39 17 2007 82 52 41 52 32 15 3 5 7 16 31 45 18 2008 51 27 97 78 41 27 48 3 32 36 112 62 19 2009 59 57 33 34 29 45 0 0 0 0 49 80 20 2010 49 42 40 80 92 83 47 48 73 67 37 50 21 2011 25 50 50 29 61 8 8 28 29 97 64 50
  • 9. ANALISA MISSING DATA CARA PERBANDINGAN NORMAL CONTOH DIKETAHUI PADA STASIUN CANDIROTO TAHUN 2009 TERDAPAT MISSING DATA. Tahun April Mei Juni Novemb er Desembe r 2009 Jumo 21 13 8 65 53 Jumprit 24 19 6 45 30 Ngadirejo 34 29 45 49 80 Perhitungan untuk missing data pada stasiun candiroto(April 2009): Demikian pula pada data yang hilang yang lainnya 43 , 2266 34 43 , 2831 57 , 2226 24 43 , 2831 29 , 1930 21 43 , 2831 3 1 x x x PA Nama Stasiun Curah Hujan Tahunan Rata- rata NA Candiroto 2831,43 NB Jumprit 1930,29 NC Jumo 2226,57 ND Ngadirejo 2266,43 36
  • 10. DATA SETELAH PERHITUNGAN Stasiun Candiroto No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September Oktober November Desember 1 1991 44 47 97 26 22 16 4 13 19 45 78 53 2 1992 56 33 55 44 32 4 21 2 42 0 11 21 3 1993 88 49 58 77 44 8 0 0 52 11 112 55 4 1994 29 92 41 78 56 44 8 0 0 0 42 56 5 1995 74 38 55 24 23 72 44 3 21 43 53 52 6 1996 47 77 44 74 84 44 56 48 45 55 78 55 7 1997 73 58 65 62 51 32 14 30 25 55 55 77 8 1998 52 110 41 66 45 23 25 21 56 42 54 28 9 1999 77 65 57 55 76 16 27 39 11 58 81 71 10 2000 26 54 60 52 30 12 8 8 29 69 61 14 11 2001 51 31 71 36 37 3 24 0 36 56 96 52 12 2002 96 66 61 89 21 8 27 2 19 22 69 77 13 2003 99 112 73 29 45 51 0 25 29 66 66 61 14 2004 99 66 68 63 66 41 61 0 48 63 67 113 15 2005 117 103 80 116 84 122 81 47 49 196 61 201 16 2006 71 102 91 113 108 5 43 0 0 0 87 183 17 2007 109 35 152 157 19 41 21 0 12 44 65 71 18 2008 122 70 93 119 43 8 11 36 0 0 65 109 19 2009 109 60 225 35 27 25 0 0 0 0 70 70 20 2010 52 164 57 54 57 115 56 45 53 83 65 63 21 2011 22 62 82 48 52 23 17 10 18 53 61 56
  • 11. Stasiun Jumprit No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September Oktober November Desember 1 1991 57 92 66 69 24 1 4 0 3 27 67 92 2 1992 32 47 32 47 24 16 4 27 34 27 19 27 3 1993 98 27 92 64 72 56 0 3 47 24 41 15 4 1994 60 34 47 23 12 0 0 0 0 23 49 18 5 1995 97 94 42 28 81 68 7 0 30 59 81 51 6 1996 39 66 62 40 34 12 26 36 14 72 52 61 7 1997 36 39 39 36 46 29 0 0 0 0 90 65 8 1998 60 31 41 53 65 85 40 25 40 47 50 65 9 1999 62 30 36 34 18 18 0 84 17 46 41 39 10 2000 37 22 31 32 28 32 46 39 18 37 39 37 11 2001 35 29 37 81 27 26 28 36 34 42 46 67 12 2002 49 39 41 52 27 4 38 46 15 61 79 96 13 2003 76 24 42 26 18 0 0 13 55 62 37 34 14 2004 43 40 41 22 46 11 41 0 29 41 36 44 15 2005 31 36 36 36 39 7 11 6 31 35 19 48 16 2006 49 34 30 48 24 36 21 29 0 21 36 61 17 2007 56 39 46 36 27 15 3 7 9 24 23 36 18 2008 38 42 32 25 21 0 0 37 18 37 62 36 19 2009 32 39 39 24 19 6 26 13 9 39 45 30 20 2010 39 42 37 32 34 26 17 42 66 52 37 41 21 2011 27 16 76 37 29 27 29 0 14 39 34 39
  • 12. Stasiun Jumo No Tahun Januari Febuari Maret April Mei Juni Juli Agustus September Oktober November Desember 1 1991 90 37 75 60 31 2 0 0 4 20 75 107 2 1992 80 60 78 52 27 65 65 37 30 36 58 64 3 1993 57 80 60 100 80 75 0 18 26 25 70 25 4 1994 89 168 70 30 31 0 0 0 0 23 110 13 5 1995 100 143 71 73 86 76 27 0 36 64 72 50 6 1996 50 98 58 76 27 27 17 34 18 82 37 63 7 1997 40 61 43 91 108 17 0 0 0 41 23 58 8 1998 78 89 40 90 60 61 38 35 25 52 30 55 9 1999 108 56 29 48 85 11 34 9 50 39 52 125 10 2000 64 34 73 94 20 21 3 40 35 16 46 45 11 2001 44 54 58 61 31 21 21 14 35 42 63 53 12 2002 26 88 100 67 29 6 14 10 0 17 19 19 13 2003 50 36 60 90 16 12 13 12 20 34 30 30 14 2004 50 63 60 25 40 10 36 0 10 15 30 30 15 2005 40 40 27 31 30 50 30 15 13 60 11 33 16 2006 40 56 46 43 31 16 14 15 0 12 39 60 17 2007 47 30 49 45 25 11 19 0 5 49 30 26 18 2008 40 39 60 50 75 14 0 30 18 27 60 52 19 2009 37 36 45 21 13 8 7 10 12 15 65 53 20 2010 30 67 49 67 45 81 30 19 80 68 41 37 21 2011 40 20 87 31 28 3 19 0 10 38 27 28
  • 13. Sta. Ngadiroejo No Tahun Januari Febuari Maret April Mei Juni Juli Agustus Septemb er Oktober November Desember 1 1991 48 59 52 52 44 0 0 0 2 31 36 36 2 1992 36 53 51 92 76 27 8 33 22 24 86 82 3 1993 74 36 83 62 108 73 0 32 33 36 112 62 4 1994 72 43 76 24 8 15 3 0 0 15 67 29 5 1995 56 81 48 34 37 72 7 0 8 64 63 60 6 1996 71 63 88 36 21 8 8 72 19 50 47 58 7 1997 51 51 54 29 32 0 0 0 0 9 42 41 8 1998 53 92 48 78 41 27 48 3 0 41 46 44 9 1999 73 34 53 26 47 11 3 31 9 37 58 48 10 2000 39 33 51 32 21 16 2 13 26 43 53 42 11 2001 51 27 97 62 32 32 12 0 37 33 63 43 12 2002 60 49 68 66 47 22 21 7 0 0 65 40 13 2003 63 110 64 69 18 11 2 9 7 30 70 56 14 2004 63 44 36 56 61 8 0 0 35 7 25 67 15 2005 57 81 44 38 73 63 27 41 28 0 19 59 16 2006 77 85 60 43 70 65 16 32 43 43 36 39 17 2007 82 52 41 52 32 15 3 5 7 16 31 45 18 2008 51 27 97 78 41 27 48 3 32 36 112 62 19 2009 59 57 33 34 29 45 0 0 0 0 49 80 20 2010 49 42 40 80 92 83 47 48 73 67 37 50 21 2011 25 50 50 29 61 8 8 28 29 97 64 50 Rata-rata 57,62 55,67 58,76 51,05 47,19 29,74 12,48 17,00 19,52 32,41 56,21 51,90 Total Rata-rata 489,54
  • 14. MENGUJI KONSISTENSI DATA HUJAN DATA HUJAN YANG KITA PEROLEH PADA STASIUN PENGAMAT MUNGKIN DATA YANG TIDAK KONSISTEN, HAL INI DIKARENAKAN BEBERAPA FAKTOR ANTARA LAIN : 1. PERPINDAHAN LOKASI PENGUKURAN 2. PERUBAHAN ALAT UKUR 3. PENGGANTIAN PENGAMAT , DLL UNTUK MENGUJI DATA HUJAN, SALAH SATU PENDEKATAN YANG DAPAT DILAKUKAN ADALAH ANALISIS MASSA GANDA ( DOUBLE MASS CURVE ANALYSIS ) , YAITU MENGUJI KONSISTENSI HASIL PENGUKURAN PADA SUATU STASIUN DAN MEMBANDINGKAN AKUMULASI DARI HUJAN YANG BERSAMAAN UNTUK SUATU KUMPULAN STASIUN YANG MENGELILINGINYA.
  • 15. DATA CURAH HUJAN SEBELUM DIKOREKSI NO Tahun Stasiun Pencatat Hujan Rata-rata Kumulatif 1 Candiroto Jumprit Jumo Ngadirejo Stasiun Acuan Sta. Jumo Sta. Acuan 1 1991 97 92 107 59 83 107 83 2 1992 63 47 80 86 65 187 148 3 1993 112 98 100 112 107 287 256 4 1994 92 60 110 76 76 397 332 5 1995 74 81 143 81 79 540 410 6 1996 84 72 98 88 81 638 492 7 1997 77 90 108 54 74 746 565 8 1998 110 85 90 92 96 836 661 9 1999 81 84 125 73 79 961 740 10 2000 69 39 94 53 54 1055 794 11 2001 96 81 68 97 91 1123 885 12 2002 96 96 100 68 87 1223 972 13 2003 112 76 90 110 99 1313 1071 14 2004 113 46 63 63 74 1376 1145 15 2005 201 48 60 81 110 1436 1255 16 2006 183 61 56 85 110 1492 1365 17 2007 157 56 49 82 98 1541 1463 18 2008 122 62 75 112 99 1616 1562 19 2009 225 45 65 80 117 1681 1679 20 2010 164 66 81 92 107 1762 1786 21 2011 82 76 87 97 85 1849 1871
  • 16. MENGUJI KONSISTENSI DATA HUJAN 37 , 1 1055 1849 794 1871 933 , 0 107 1055 83 794 68 , 0 37 , 1 933 , 0 FK Kemiringan kurva sesudah patahan : Faktor koreksi : Kemiringan kurva sebelum patahan : Data yang dikoreksi tahun 1991 s/d 2001 Jika F.Koreksi sebelum dibagi sesudah patahan : FK = 0,68 Data : F.Koreksi sbb. : 107 x 0,68 =73 y = 1.0023x - 127.6 R族 = 0.9694 -500 0 500 1000 1500 2000 0 200 400 600 800 1000 1200 1400 1600 1800 2000 Uji Konsistensi Sta Jumo
  • 17. DATA CURAH HUJAN SETELAH DIKOREKSI NO Tahun Stasiun Pencatat Hujan Rata-rata Kumulatif 1 Candiroto Jumprit Jumo Ngadirejo Stasiun Acuan Sta. Jumo Sta. Acuan 1 1991 97 92 73 59 83 73 83 2 1992 63 47 54 86 65 127 148 3 1993 112 98 40 112 107 168 256 4 1994 92 60 44 76 76 212 332 5 1995 74 81 57 81 79 269 410 6 1996 84 72 39 88 81 309 492 7 1997 77 90 74 54 74 382 565 8 1998 110 85 61 92 96 443 661 9 1999 81 84 85 73 79 529 740 10 2000 69 39 64 53 54 593 794 11 2001 96 81 68 97 91 661 885 12 2002 96 96 100 68 87 761 972 13 2003 112 76 90 110 99 851 1071 14 2004 113 46 63 63 74 914 1145 15 2005 201 48 60 81 110 974 1255 16 2006 183 61 56 85 110 1030 1365 17 2007 157 56 49 82 98 1079 1463 18 2008 122 62 75 112 99 1154 1562 19 2009 225 45 65 80 117 1219 1679 20 2010 164 66 81 92 107 1300 1786 21 2011 82 76 87 97 85 1387 1871
  • 18. y = 1.3167x + 25.55 R族 = 0.9938 0 200 400 600 800 1000 1200 1400 1600 1800 2000 0 200 400 600 800 1000 1200 1400 1600 Uji Konsistensi Sta Jumo (Sesudah)
  • 19. MENGHITUNG HUJAN RATA-RATA DAS ADA 3 MACAM CARA YANG DAPAT DIGUNAKAN UNTUK MENGHITUNG HUJAN LOKAL (POINT RAINFALL) MENJADI HUJAN RATA-RATA DAS (AREAL RAINFALL) YAITU : 1. METODE RATA-RATA ALJABAR. 2. METODE POLIGON THIESSEN. 3. METODE ISOHYET.
  • 20. 1. METODE RATA-RATA ALJABAR Tahun Tanggal Curah Hujan Harian Maksimum Candiroto Jumprit Jumo Ngadirejo 1991 07-Mar 196 0 0 0 19-Feb 45 92 0 19 30-Des 8 92 56 31 18 Febuari 0 63 14 59 P = HUJAN RATA-RATA PI = TINGGI CURAH HUJAN DISTASIUN I, I = 1, ,N. n i Pi n P 1 1 Contoh perhitungan pada tanggal 30 Desember 1991: mm P 75 , 46 31 56 92 8 4 1 Lakukan pada tanggal dan tahun yang berikutnya dan cari nilai hujan rata-rata tertinggi pada tiap tahun
  • 21. PERHITUNGAN RATA-RATA Tahun Tanggal Curah Hujan Harian Maksimum R(mm) Rmax(mm) Candiroto Jumprit Jumo Ngadirej o 1991 07-Mar 189 0 0 0 47,3 51 19-Feb 45 92 0 19 39,0 30-Des 8 92 73 31 51,0 18 Febuari 0 63 14 59 34,0 1992 26-Jan 123 16 0 24 40,8 40,8 13-Apr 1 47 4 12 16,0 14-Jan 0 29 54 36 29,8 27-Apr 0 18 50 92 40,0 1993 30-Nov 218 4 30 112 91,0 91 30-Jan 8 98 27 19 38,0 09-Apr 0 0 40 1 10,3 30-Nov 112 4 30 112 64,5 1994 16 Febuari 179 0 48 0 56,8 56,8 26-Jan 0 60 0 2 15,5 14 Febuari 2 0 44 43 22,3 23-Mar 4 47 6 76 33,3 1995 01-Jan 144 7 0 0 37,8 62,8 03-Jan 5 97 100 49 62,8 4 Febuari 3 0 57 81 35,3 4 Febuari 3 0 143 81 56,8 1996 27-Mei 164 0 0 0 41,0 51,0 03-Okt 0 72 82 50 51,0 19 Febuari 0 31 39 0 17,5 03-Mar 0 4 14 88 26,5 1997 28-Des 150 0 0 39 47,3 50,8 15-Nov 23 90 0 0 28,3 03-Mei 51 46 74 32 50,8 27-Mar 4 11 41 54 27,5 1998 5 Febuari 214 0 15 5 58,5 58,5 14-Jun 5 85 0 0 22,5 04-Apr 0 3 61 0 16,0 16 Febuari 7 0 17 92 29,0 1999 09-Nov 158 24 52 41 68,8 41,5 27-Agu 7 84 9 0 25,0 22-Des 36 21 85 16 39,5 29-Jan 77 2 14 73 41,5
  • 22. 2000 17-Okt 134 37 6 8 46,3 46,3 26-Jul 8 39 0 0 11,08 27-Apr 48 6 64 14 33,0 23-Nov 11 39 25 53 32,0 2001 02-Nov 187 24 1 63 68,8 68,8 14-Apr 2 81 14 0 24,3 17-Nov 5 46 68 43 40,5 07-Mar 11 36 0 97 36,0 2002 11-Jan 96 0 7 1 26,0 41,3 25-Des 2 96 0 40 34,5 29-Mar 61 4 100 0 41,3 30-Mar 44 0 0 68 28,0 2003 5 Febuari 112 0 36 110 64,5 64,5 10-Jan 0 76 10 0 21,5 07-Apr 29 21 90 3 35,8 5 Febuari 112 0 36 110 64,5 2004 25-Des 113 19 0 4 34,0 34 27-Mei 22 46 6 5 19,8 21 Febuari 33 1 63 5 25,5 24-Des 41 4 0 67 28,0 2005 17-Des 201 4 8 57 67,5 67,5 29-Des 41 48 15 18 30,5 23-Okt 9 35 60 0 26,0 11 Febuari 53 0 0 81 33,5 2006 14-Des 183 27 0 0 52,5 52,5 26-Des 69 61 15 15 40,0 13-Des 0 8 60 39 26,8 1 Febuari 0 34 12 85 32,8 2007 21-Apr 57 0 0 0 14,3 49 27-Jan 15 56 47 56 43,5 13-Mar 5 0 49 0 13,5 31-Jan 109 2 3 82 49,0 2008 25-Jan 122 0 0 0 30,5 30,8 01-Nov 20 62 60 0 35,5 05-Mei 43 2 75 3 30,8 30-Nov 3 0 7 112 30,5 2009 10-Mar 225 3 0 24 63,0 63 29-Nov 40 45 65 10 40,0 29-Nov 40 45 65 10 40,0 30-Des 26 0 0 80 26,5 2010 16 febuari 164 27 45 41 69,3 69,3 09-Sep 16 66 16 0 24,5 08-Jun 0 0 81 83 41,0 03-Mei 57 0 0 92 37,3 2011 27-Mar 82 2 0 19 25,8 55,8 26-Mar 10 76 87 50 55,8 26-Mar 10 76 87 50 55,8 29-Okt 53 31 8 97 47,3
  • 23. 2. METODE POLIGON THEISSEN
  • 24. FAKTOR PEMBOBOT AREA PADA DPS KALI BODRI METODE THIESSEN No. Nama Stasiun Luas (Km2 ) Bobot (%) 1 Candiroto 2,451 4,14 2 Jumprit 19,694 33,28 3 Jumo 20,431 34,53 4 Ngadirejo 16,601 28,05 Total 59,177 100,00
  • 25. PERHITUNGAN METODE POLIGON THEISSEN Tahun Tanggal Curah Hujan Harian Maksimum R(mm) Candiroto Jumprit Jumo Ngadirejo 0,0414 0,3328 0,3453 0,2805 1991 07-Mar 196 0 0 0 8,11 19-Feb 45 92 0 19 37,81 30-Des 8 92 56 31 58,98 18 Febuari 0 63 14 59 42,35 n n n A P A P Rumus _ : DAS hujanrata P 2 _ Contoh perhitungan pada tanggal 30 Desember 1991: 2805 , 0 3453 , 0 3328 , 0 0414 , 0 2805 , 0 31 3453 , 0 56 3328 , 0 92 0414 , 0 8 _ x x x x P mm P 98 , 58 _ Lakukan perhitungan pada setiap tanggal dan tahun berikutnya dan cari nilai curah hujan rata-rata tertinggi
  • 26. CARA MEMPERSIAPKAN DATA CURAH HUJAN Tahun Tanggal Curah Hujan Harian Maksimum R(mm) Rmax (mm) Candirot o Jumprit Jumo Ngadirej o 0,0414 0,3328 0,3453 0,2805 1991 07-Mar 189 0 0 0 7,82 64,85 19-Feb 45 92 0 19 37,81 30-Des 8 92 73 31 64,85 18 Febuari 0 63 14 59 42,35 1992 26-Jan 123 16 0 24 17,15 49,06 13-Apr 1 47 4 12 20,43 14-Jan 0 29 54 36 38,40 27-Apr 0 18 50 92 49,06 1993 30-Nov 218 4 30 112 52,13 52,13 30-Jan 8 98 27 19 47,60 09-Apr 0 0 40 1 14,09 30-Nov 112 4 30 112 47,74 1994 16 Febuari 179 0 48 0 23,99 39,2 26-Jan 0 60 0 2 20,53 14 Febuari 2 0 44 43 27,34 23-Mar 4 47 6 76 39,20 1995 01-Jan 144 7 0 0 8,29 80,76 03-Jan 5 97 100 49 80,76 4 Febuari 3 0 57 81 42,53 4 Febuari 3 0 143 81 72,22 1996 27-Mei 164 0 0 0 6,79 57,32 03-Okt 0 72 82 50 66,30 19 Febuari 0 31 39 0 23,78 03-Mar 0 4 14 88 30,85 1997 28-Des 150 0 0 39 17,15 51,95 15-Nov 23 90 0 0 30,90 03-Mei 51 46 74 32 51,95 27-Mar 4 11 41 54 33,13 1998 5 Febuari 214 0 15 5 15,44 31,97 14-Jun 5 85 0 0 28,50 04-Apr 0 3 61 0 22,06 16 Febuari 7 0 17 92 31,97 1999 09-Nov 158 24 52 41 43,98 43,98 27-Agu 7 84 9 0 31,35 22-Des 36 21 85 16 42,32 29-Jan 77 2 14 73 29,16
  • 27. 2000 17-Okt 134 37 6 8 22,18 36,93 26-Jul 8 39 0 0 13,31 27-Apr 48 6 64 14 30,01 23-Nov 11 39 25 53 36,93 2001 02-Nov 187 24 1 63 33,75 51,06 14-Apr 2 81 14 0 31,87 17-Nov 5 46 68 43 51,06 07-Mar 11 36 0 97 39,64 2002 11-Jan 96 0 7 1 6,67 43,25 25-Des 2 96 0 40 43,25 29-Mar 61 4 100 0 38,39 30-Mar 44 0 0 68 20,90 2003 5 Febuari 112 0 36 110 47,92 47,92 10-Jan 0 76 10 0 28,75 07-Apr 29 21 90 3 40,11 5 Febuari 112 0 36 110 47,92 2004 25-Des 113 19 0 4 12,12 24,86 27-Mei 22 46 6 5 19,69 21 Febuari 33 1 63 5 24,86 24-Des 41 4 0 67 21,82 2005 17-Des 201 4 8 57 28,40 32,74 29-Des 41 48 15 18 27,90 23-Okt 9 35 60 0 32,74 11 Febuari 53 0 0 81 24,91 2006 14-Des 183 27 0 0 16,56 39,3 26-Des 69 61 15 15 32,54 13-Des 0 8 60 39 34,32 1 Febuari 0 34 12 85 39,30 2007 21-Apr 57 0 0 0 2,36 51,19 27-Jan 15 56 47 56 51,19 13-Mar 5 0 49 0 17,13 31-Jan 109 2 3 82 29,22 2008 25-Jan 122 0 0 0 5,05 42,18 01-Nov 20 62 60 0 42,18 05-Mei 43 2 75 3 29,18 30-Nov 3 0 7 112 33,96 2009 10-Mar 225 3 0 24 17,05 41,88 29-Nov 40 45 65 10 41,88 29-Nov 40 45 65 10 41,88 30-Des 26 0 0 80 23,52 2010 16 febuari 164 27 45 41 42,81 51,25 09-Sep 16 66 16 0 28,15 08-Jun 0 0 81 83 51,25 03-Mei 57 0 0 92 28,17 2011 27-Mar 82 2 0 19 9,39 69,77 26-Mar 10 76 87 50 69,77 26-Mar 10 76 87 50 69,77 29-Okt 53 31 8 97 42,48