Early Warning System of Ciliwung River Floods The Houw Liong P.M.Siregar R.Gernowo H.Widodo
Outline • Rainfall-Runoff Model & MM-5 • Fuzzy Rules & ANFIS • Time Series of Sun Spot Numbers, Rainfall & Water Level === Weather/Climate Forecasting • System Dynamics • Conclusion
Rainfall-Runoff Model
Rainfall-Runoff Model
S . Venant’s Equations
MM-5 : Atmospheric Model
Solar activities & Climate Cloud detrainment
Microphysics
Cumulus
Cloud Effects Cloud Fraction
Solar and its activities
PBL Surface Flux SH,LH
Surface Emisi/albedo
Incoming SW,LW
Earth Surface
surface T,Qv,Wind
Sugeno Fuzzy Rules • For x is Ai and y is Bj then z is pi*x + qj*y + rij
Adaptive Neuro Fuzzy Inference System layer 1 layer 2
layer 4
A1 ∏
w1
A2
N
B1
N ∏
B2
x y
layer 3
layer 5
w1 w2
w2
x y
ANFIS • •
• • •
Layer 1 :
O1,i Ai ( x ),
for
i 1, 2, or
O1,i Bi2 ( y ),
for
i 3, 4,
x and y are input of ode -i and O1,i is membership function of fuzzy set A=(A1,A2) and B=(B1 ,B2 ) with membership function A is :
µA ( x ) =
1
x −c i 1+ ai
• • •
2b
ai,bi, and ci are parameters Layer 2 : output as the product of input membership functions :
O 2,i = w 1 = µ Ai (x) µ Bi ( y) i = 1,2
• Layer 3 in node -i : •
wi O 3,i = w i = , i = 1,2 w1 + w 2
• Layer 4 : Node -i is adaptive node with function node :
O 4,i = w i f i = w i (p i x + q i y + ri )
ANFIS • Layer 5 : final output : •
O5
wi fi i
w f w
i i
i
i
i
sspot 200
150
100
50
0
2012 2008 2004 2000 1996 1992 1988 1984 1980 1976 1972 1968 1964 1960 1956 1952 1948
sspot
100,00
50,00
0,00 E E
Years
sspot
LL E E
2002
2000
E L
1998
1996
L
1994
1992
1990
1988
E
1986
L
1984
1982
1980
E
1978
L
1976
1974
E
1972
1970
E L
1968
1966
1964
L
1962
150,00 E
1960
L
1958
1956
E
1954
L
1952
200,00
1950
1948
Sunspot Number
Elnino-Lanina Years L E
Sunspot/Precip
Pontianak Region Correlation Sunspot vs Precip =0.88 200.00
200.00 150.00 100.00 50.00 0.00 -50.00
150.00 100.00 50.00 0.00 2002
1999
ave-precip
1996
ave-sunspot
1993
1990
1987
1984
1981
1978
1975
1972
1969
1966
1963
1960
1957
1954
1951
1948
Years
mm/month
Jaya Pura 350.00 300.00 250.00 200.00 150.00 100.00 50.00 0.00
200.00 150.00 100.00 50.00 0.00 2002 1999 1996 1993 1990 1987 1984 1981 1978 1975 1972 1969 1966 1963 1960 1957 1954 1951 1948
Years Avg precip
sspot
250.00
200.00
200.00
150.00
150.00
100.00
100.00 50.00
50.00
0.00
0.00 1948 1951 1954 1957 1960 1963 1966 1969 1972 1975 1978 1981 1984 1987 1990 1993 1996 1999 2002
mm/month
Jakarta
Years Avg Precip
Avg-sspot
Fuzzy Clustering
ANFIS & Monthly Rainfall Ciliw ung Hilir Data Tahun Januari 1989 - December 2005
8
Data
6
4
2
0 Jan-89
Jan-91
Jan-93
Jan-95 Jan-97 Jan-99 Jan-01 Jumlah Bulanan Rata-Rata
Jan-03
Jan-05
2
Jan-96 Jan-98 Jan-00 Jumlah Bulanan Rata-Rata
Jan-02
Jan-04
Jul-02
Jan-06
Jan-03
Jul-03
Jan-04 Jul-04 Jan-05 Jumlah Bulanan Rata-Rata
Jul-05
Jan-06
Jul-06
Ciliw ung Hulu Prediksi Desember 2005 - Juni 2006 Data
4
Jan-94
2
8
Prediksi ANFIS
6
Jan-92
4
0 Jan-02
Cur Hujan (x100 mm)
Cuah Hujan (x 100 mm)
Data
Prediksi ANFIS
6
Jan-07
Ciliw ung Hulu Data Januari 1990 - Desember 2005 8
0 Jan-90
Ciliw ung Hilir Prediksi Desember 2005 - Juni 2006
8
Prediksi ANFIS Cur Hujan (x100 mm)
Cur Hujan (x100 mm)
Data
Prediksi ANFIS
6
4
2
0 Jan-03
Jul-03
Jan-04
Jul-04 Jan-05 Jumlah Bulanan Rata-Rata
Jul-05
Jan-06
Jul-06
ANFIS & Monthly Water Level TMA Depok Januari 1978 - Desember 2005
1.8 Data
1.3
Prediksi ANFIS
1.2 1.1
1.2
1
0.9
0.9
TMA(x100 cm)
TMA (x100 cm)
1.5
TMA Depok Prediksi Desember 2005 - Juni 2006 Data Prediksi ANFIS
0.6
0.8 0.7
0.3 0 Jan-78
0.6 Jan-82
Jan-86
Jan-90 Jan-94 Rerata Bulanan
Jan-98
Jan-02
Jan-06
0.5 Jan-03
Jul-03
Jan-04
Jul-04 Jan-05 Rerata Bulanan
Jul-05
Jan-06
Jul-06
ANFIS & PENTAD Rainfall Ciliw ung Hilir Tahun Januari 1989 - Desember 2005 2.5
Series1
Series2
Cur Huj (x100mm)
Cur. Hujan (x100mm)
3
2 1.5 1 0.5 0 5-Jan89
5-Jan91
5-Jan93
5-Jan95
5-Jan97
5-Jan99
5-Jan01
5-Jan03
5-Jan05
2 1.8 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0 1-Sep04
Ciliw ung Hilir Prediksi Desember 2005-Januari 2006 Series1
1-Nov04
Series2
1-Jan05
1-Mar05
PENTAD
Ciiliw ung Hulu Januari 1990-Januari 2006
Cur Huj (x100mm)
2.5
Data
1-Sep05
1-Nov05
1-Jan06
Ciliw ung Hulu Prediksi Januari 2006 - Februari 2006
2.5
Data
Prediksii ANFIS
1-May1-Jul-05 05 PENTAD
Prediksii ANFIS
2
2 1.5
1.5
1
1
0.5 0 5-Jan90
0.5
5-Sep91
5-May93
5-Jan95
5-Sep96
5-May98 PENTAD
5-Jan00
5-Sep01
5-May03
5-Jan05
0 5-J an-05
24-Feb-05
15-Apr-05
4-J un-05
24-J ul-05 P ENTAD
12-Sep-05
1-Nov-05
21-Dec-05
9-Feb-06
TMA Depok Januari 1978 - Januari 2006 2.00 Data Prediksi ANFIS 1.80 1.60 1.40 1.20 1.00 0.80 0.60 0.40 0.20 0.00 01-Jan- 01-Jan- 01-Jan- 01-Jan- 01-Jan- 01-Jan- 01-Jan- 01-Jan- 01-Jan- 01-Jan78 81 84 87 90 93 96 99 02 05 PENTAD
1.70 1.50
TMA Depok Prediksi Januari 2006 - Februari 2006 Data
Prediksi ANFIS
1.30 TMA (x100 cm)
TMA (x100 cm)
ANFIS & PENTAD Water Level
1.10 0.90 0.70 0.50 03-Jun- 03-Aug- 03-Oct- 03-Dec- 03-Feb- 03-Apr- 03-Jun- 03-Aug- 03-Oct- 03-Dec- 03-Feb04 04 04 04 05 05 05 05 05 05 06 PENTAD
0
KELAS >55
>50-<=55
>45-<=50
>40-<=45
>35-<=40
>30-<=35
>25-<=30
>20-<=25
>15-<=20
>10-<=15
>5-<=10
0-<=5
PROB (%)
>55
>50-<=55
>45-<=50
>40-<=45
>35-<=40
>30-<=35
>25-<=30
>20-<=25
>15-<=20
>10-<=15
>5-<=10
0-<=5
PROB (%)
INTENSITY and Rainfall PROBABILITY INTENSITAS C.H. ( 1957 - 1988 ) JAKARTA (745 )
60
50
40
30
20
10
0
KELAS
INTENSITAS C.H. ( 1985 - 2003 ) BOGOR
60
50
40
30
20
10
laju masuk
CH
Air Permukaan
laju keluar
Debit
TMA
Intensitas
deltaDebit kostanta deltaTMA
Conclusion • ANFIS & System Dynamics can be
combined for floods prediction / forecasting of Ciliwung river and estimating runoff as a function of time • Accurate short time prediction needs atmospheric model, rainfall-runoff model and data from weather radar & satellite • A warning system for Ciliwung river should be based on accurate flood forecasting.