session 3: case studies low flows and floods – amazon basin jean loup guyot – ird lima –...
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Session 3: Case studiesSession 3: Case studiesLow flows and floods – Amazon Basin Low flows and floods – Amazon Basin
Jean Loup GUYOT – IRD Lima – [email protected] - www.mpl.ird.fr/hybam Jean Loup GUYOT – IRD Lima – [email protected] - www.mpl.ird.fr/hybam
UPS ToulouseUPS ToulouseANA BrasíliaANA BrasíliaUnB BrasíliaUnB BrasíliaUFF NiteroíUFF NiteroíUFRJ Rio de JaneiroUFRJ Rio de JaneiroINAMHI QuitoINAMHI QuitoSENAMHI LimaSENAMHI LimaUNALM LimaUNALM LimaSENAMHI La PazSENAMHI La PazUMSA La PazUMSA La Paz
Amazon Drainage BasinAmazon Drainage Basin
the largest basin of the world
(Area : 6 000 000 km²)
≈ 5% of continental areas
≈ 20% of fresh water discharge
7 countries
Mean discharge : 200 000 m³.s-1
0
200
400
600
800
1000
1200
1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010
Rai
nfa
ll s
tati
on
s n
um
ber
Colombia
Ecuador
Peru
Bolivia
Brasil
Rainfall DataRainfall Data
Rainfall stations from :Rainfall stations from :ANA (Brazil),ANA (Brazil),SENAMHI (Bolivia and Peru),SENAMHI (Bolivia and Peru),INAMHI (Ecuador)INAMHI (Ecuador)IDEAM (ColombiaIDEAM (Colombia
Rainfall data
1/1/1900 1/1/1920 1/1/1940 1/1/1960 1/1/1980 1/1/2000
+0003-7538-M1
+0004-5111-M1
+0005-5106-M1
+0013-6396-M1
+0013-6854-M1
+0014-6921-M1
+0017-6795-M1
+0017-7656-M1
+0021-7605-M1
+0022-6348-M1
+0023-7621-M1
+0024-7705-M1
+0025-697801-M1
+0025-697802-M1
+0029-7649-M1
+0030-5112-M1
+0031-7628-M1
+0031-7652-M1
+0034-5174-M1
+0037-6731-M1
+0038-6664-M1
+0042-7635-M1
+0043-6883-M1
+0045-6507-M1
+0050-5074-M1
+0051-6046-M1
+0052-7102-M1
+0054-7046-M1
+0054-7634-M1
+0058-6780-M1
+0058-6958-M1
+0058-7624-M1
+0060-6919-M1
+0061-6658-M1
+0063-6613-M1
+0064-5686-M1
+0064-5687-M1
This methodology consists in assuming that for the same climatic zone under the same rainfall regime, the annual pluviometric totals are pseudo proportional, with a little random variation every year due to rain distribution in the zone.
To calculate this “Vector” station, the RVM applies the concept of extended average rainfall to the work period, which is an estimation of the average possible value that would have been obtained through continuous observations during the study period. Based on the above mentioned, the Least Squares Method is applied to find the Regional Annual Pluviometric Regional Indexes Zi and the extended average rainfall Pj. This may be calculated by minimizing the sum of the formula (1), where i is the year index, j is the station index, N is the number of years, and M is the number of stations. Pij is the annual rainfall in the station j, the year i; Pj is the extended average rainfall to the period of N years; and finally, Zi is the regional pluviometric index of the year i. The series of the chronological indexes Zi is called “Regional Annual Pluviometric Indexes Vector”.
M
j=i
j
ijN
=i
ZP
P
11
.
Regional Vector Method - RVMRegional Vector Method - RVM
Hiez (1977) & Brunet-Moret (1979)Hiez (1977) & Brunet-Moret (1979)
25 vectors (homogenous areas) : 16 in the Andean Countries, 9 in Brazil25 vectors (homogenous areas) : 16 in the Andean Countries, 9 in Brazil
Espinoza et al. (submitted). Espinoza et al. (submitted).
n = 1446 (756)1964/2003
50W55W60W65W70W75W80W
05N
00
05S
15S
10S
20S
Km
300mm
6 000
3 000
Mean annual rainfallMean annual rainfall
0.1
0.5
1.0
50W55W60W65W70W75W80W
05N
00
05S
15S
10S
20S
PurusJuruá Madeira
Tapajó
s
Xin
gu
Negro
Bra
nco
Amazonas
Marañón
Uca
yali
Seasonal Variability Coefficient (sVC)Seasonal Variability Coefficient (sVC)
05N
00
05S
15S
10S
20S
50W55W60W65W70W75W80W
0.05
0.25
0.50
Interannual Variability Coefficient (iVC)Interannual Variability Coefficient (iVC)
0.1
1.0
2.0
3.0
50W55W60W65W70W75W80W
05N
00
05S
15S
10S
20S
Interannual VC / Seasonal VCInterannual VC / Seasonal VC
PLUIE ANNUEL
1000
1400
1800
2200
2600
19
75
19
77
19
79
19
81
19
83
19
85
19
87
19
89
19
91
19
93
19
95
19
97
19
99
20
01
20
03
mm
Espinoza et al. (submitted). Espinoza et al. (submitted).
- 0.32 % / year- 0.32 % / year
Mean annual rainfall trend (Óbidos)Mean annual rainfall trend (Óbidos)
TAMSHIYACU
Espinoza et al. (2006).Espinoza et al. (2006).
Mean annual rainfall trend (Tamshiyacu)Mean annual rainfall trend (Tamshiyacu)
- 0.83 % / year- 0.83 % / year
Callède et al. (2004). Callède et al. (2004).
n = 431943/1999
1800
1900
2000
2100
2200
2300
2400
2500
2600
2700
1940 1945 1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000
Année
Pluv
iom
étri
e (m
m)
Série 1940/2003
Série 1945/1998
Callède et al. (submitted). Callède et al. (submitted).
n = 1631940/2003
No trendNo trend
0
50
100
150
200
250
1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010
Dis
char
ge
stat
ion
s n
um
ber
Colombia
Ecuador
Peru
Bolivia
Brasil
Discharge DataDischarge Data
Gauging stations from :Gauging stations from :ANA (Brazil),ANA (Brazil),SENAMHI (Bolivia),SENAMHI (Bolivia),INAMHI (Ecuador),INAMHI (Ecuador),HYBAM (Bolivia, Peru and Ecuador)HYBAM (Bolivia, Peru and Ecuador)
ÓbidosTamshiyacu
Estación: 10075000 = Tamshiyacu (Amazonas)Captor: I-1 = Données Opérationnelles
Gráfico de las Cotas
-400
-200
0
200
400
600
800
1000
30/09/1983 26/06/1986 22/03/1989 17/12/1991 12/09/1994 08/06/1997 04/03/2000 29/11/2002
Co
tas
Código-'L'
Código-'R'
Reconstructing / Correcting Water Level DataReconstructing / Correcting Water Level Data
ADCP Discharge Measure (Tamshiyacu gauging station, Peru)ADCP Discharge Measure (Tamshiyacu gauging station, Peru)
Estación: 10075000 = Tamshiyacu (Amazonas)Captor: I-1 = Cotes Captor de Salida: I-1
Calibración del 01/10/1983 hasta nuestros días
0
10000
20000
30000
40000
50000
60000
70000
-400 -200 0 200 400 600 800 1000
Cota en escala (cm)
Ca
ud
al
(m3
/s)
Aforos
Tabla de calibración
Rating curve (Tamshiyacu gauging station, Peru)Rating curve (Tamshiyacu gauging station, Peru)
ADCP Discharge Data (Óbidos gauging station, Brazil)ADCP Discharge Data (Óbidos gauging station, Brazil)
0
100 000
200 000
300 000
0 100 200 300 400 500 600 700 800 900
Water Level (cm)
Dis
char
ge
(m3/
s)
USGS_CAMREX_DNAEE (Grandes Rios)
DNAEE (Moving Boat)
HYBAM (ADCP)
Historical Gauging Data (Óbidos gauging station, Brazil)Historical Gauging Data (Óbidos gauging station, Brazil)
TAM SAI
ACASER
CAR
G-L
PVE
FVA
MAN
OBI
ALT
Peru
Ecuador
Colombia
Venezuela
Bolivia
Brasil
Km
ITA
99% Positive significance99% Negative significance
STATION r ρ T r ρ T r ρ T Qmax Qm Qmin AmpCAR -0.206 -0.198 -0.113 0.069 0.057 0.046 0.054 0.15 0.085 -0.574 0.203 0.316 -0.619SER 0.207 0.207 0.136 0.062 0.101 0.067 -0.140 -0.067 -0.048 0.215 0.066 -0.546 0.404ACA 0.003 0.074 0.053 -0.058 -0.073 -0.044 0.269 0.258 0.168 0.002 -0.057 1.323 -0.394TAM -0.180 -0.162 -0.108 -0.486 -0.459 -0.315 -0.558 -0.48 -0.347 -0.222 -0.601 -1.307 0.337SAI 0.605 0.671 0.503 0.595 0.667 0.471 -0.224 -0.209 -0.13 0.751 0.826 -0.716 2.101G-L 0.187 0.198 0.136 -0.173 -0.0074 -0.039 -0.358 -0.177 -0.106 0.095 -0.174 -0.731 0.190PVE -0.253 -0.254 -0.168 -0.436 -0.432 -0.283 -0.547 -0.585 -0.382 -0.340 -0.679 -1.410 -0.220ALT -0.310 -0.187 -0.108 -0.257 -0.174 -0.108 0.080 -0.035 -0.045 -0.690 -0.590 0.196 -1.016ITA -0.160 -0.003 0.002 -0.448 -0.417 -0.278 -0.445 -0.51 -0.39 -0.180 -0.617 -1.200 -0.197
OBI* 0.015 -0.004 -0.011 -0.099 -0.073 -0.053 -0.330 -0.24 -0.168 0.016 -0.099 -0.558 0.427MAN 0.141 0.144 0.09 0.289FVA -0.289 -0.272 -0.18 -0.631OBI -0.057 -0.065 -0.071 -0.193
TREND INDEXQ mQ max Q min
The trend analysis is made based on the calculation of the correlation coefficients, which are applied for evaluating the series trend. The correlation coefficients applied are: Pearson coefficient, which is parametric and measures the lineal correlation among variables, Spearman is non-parametric based on the range, and Kendall, also non-parametric based on the range and probability of the data occurrence order.
Trend analysisTrend analysis
0
100 000
200 000
300 000
01/01/60 31/12/69 01/01/80 31/12/89 01/01/00 01/01/10
An
nu
el d
isch
arg
e (m
3/s)
Annual Minimum
Annual Mean
Annual Maximum
Annual Discharge Data (Óbidos gauging station, Brazil)Annual Discharge Data (Óbidos gauging station, Brazil)
2006
2005
Mean (no trend)
Max
Min
Nine events with runoff higher than 250 000 m3/s occurred between 1970 and 2005, while four have been observed since the beginning of the century,
0
10000
20000
30000
400001
96
4
19
66
19
68
19
70
19
72
19
74
19
76
19
78
19
80
19
82
19
84
19
86
19
88
19
90
19
92
19
94
19
96
19
98
20
00
20
02
20
04
Dé
bit
Ta
ms
hiy
ac
u (
m3 s
-1)
0
1000
2000
3000
Plu
ie T
am
sh
iya
cu
(m
m)
0
10000
20000
30000
400001
96
4
19
66
19
68
19
70
19
72
19
74
19
76
19
78
19
80
19
82
19
84
19
86
19
88
19
90
19
92
19
94
19
96
19
98
20
00
20
02
20
04
Dé
bit
Ta
ms
hiy
ac
u (
m3 s
-1)
0
1000
2000
3000
Plu
ie T
am
sh
iya
cu
(m
m)
Annual Discharge Data (Tamshiyacu gauging station, Peru)Annual Discharge Data (Tamshiyacu gauging station, Peru)
-0.81% / year
Espinoza et al. (2006). Espinoza et al. (2006). IAHS Publ. IAHS Publ. 308, 424-429.308, 424-429.
Positive trend no significance90% Positive significance99% Positive significance99% Negative significance90% Negative significanceNegative trend no significanceno trend
TAMSAI
ACASER
CAR
MAN
G-L
PVE
FVA
ITA ALT
OBI
Mean annual discharge trendMean annual discharge trend
TAMSAI
ACASER
CAR
MAN
G-L
PVE
FVA
ITA ALT
OBI
Positive trend no significance90% Positive significance99% Positive significance99% Negative significance90% Negative significanceNegative trend no significanceno trend
Max annual discharge trendMax annual discharge trend
TAMSAI
ACASER
CAR
MAN
G-L
PVE
FVA
ITAALT
OBI
Positive trend no significance90% Positive significance99% Positive significance99% Negative significance90% Negative significanceNegative trend no significanceno trend
Min annual discharge trendMin annual discharge trend
One long observed time serie : Negro River at Manaus (1903 - today)One long observed time serie : Negro River at Manaus (1903 - today)
Due to backwater effects, Negro River water levelsare controlled by theAmazon river near the confluence, like allmajors tributaries of theAmazon basin.
Meade et al. (1991). Meade et al. (1991). Environ. Geol. Water Sci. Environ. Geol. Water Sci. 18(2), 105-114.18(2), 105-114.
y = 0.0393x1.8982
R2 = 0.923
0
50 000
100 000
150 000
200 000
1 000 1 500 2 000 2 500 3 000 3 500
Manaus mean monthly water level
Man
acap
uru
mea
n m
on
thly
dis
char
ge
50 000
100 000
150 000
30/12/1901 08/09/1915 17/05/1929 24/01/1943 02/10/1956 11/06/1970 18/02/1984 27/10/1997
Dis
char
ge
(m3/
s)
1 000
2 000
3 000
Wat
er L
evel
(cm
)
Manacapuru discharge
Manaus water level
Richey et al. (1989). Richey et al. (1989). Science. Science. 246, 101-103.246, 101-103.-> No trend, links with ENSO events-> No trend, links with ENSO events
Milly et al. (2002). Milly et al. (2002). NatureNature, 415: 524-517., 415: 524-517.-> increasing floods-> increasing floods
One long reconstructed time serie : Amazon River at Óbidos (1903 - today)One long reconstructed time serie : Amazon River at Óbidos (1903 - today)
0
100
200
300
400
500
600
700
800
900
0 100 200 300 400 500 600 700 800 900
Mois (de 1928 à 1996)
Co
tes
(cm
)
dh = 83 cm
0
100
200
300
400
500
600
700
800
1500 1700 1900 2100 2300 2500 2700 2900 3100
Cotes Manaus (cm)
Co
tes
Ób
ido
s (
cm)
Echelle ancienneEchelle actuelle
2 observed periods withoutnivel correction.The rating curve for the recent Period can not be used for thewhole period.-> be careful with publisheddischarge data (UNESCO)
Callède et al. (2004). Callède et al. (2004).
Max, Mean and Min annual discharges : Amazon River at Óbidos (1903 - 1999)Max, Mean and Min annual discharges : Amazon River at Óbidos (1903 - 1999)
The breaks and changes in the series are evaluated through different methods, using Kronostat software: the Buishand method, of Bayesian nature, based on changes of the series average. The Pettitt method is a non-parametric test based on changes in the average and the range of the series. Lee and Heghinian test are also used, which is other Bayesian method that uses the average as an indicator of change. Finally, Hubert segmentation is applied based on the significant difference of the average and the standard deviation among periods; for the search of multiple changes in the series.
Breaks analysisBreaks analysis
Callède et al. (2004). Callède et al. (2004).
30,0
35,0
40,0
45,0
50,0
55,0
60,0
65,0
1935 1940 1945 1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005
Année
Co
effi
cien
t (
%)
Coef.Ecoulement
Tendance poynomiale
Moy.Mobile
Séparation des influences
A B
Callède et al. (submitted). Callède et al. (submitted).
Runoff coefficient : Amazon River at Óbidos (1903 - 2003)Runoff coefficient : Amazon River at Óbidos (1903 - 2003)
Using Wavelet analyses to detect changes
Conclusion
Main results for the 1902 – 1999 period at Obidos are : i) increasing trends for annual mean discharge and annual flood discharge, ii) no tendency for low flows, and iii) a significant break for the maximum and mean time series in 1969-1970.
Using the HYBAM dataset for the whole Amazon basin, a first study has been realized for 30 years (1975-2005). Mean annual rainfall over the Óbidos drainage basin presents a decreasing trend of 0.32%/year, while mean annual discharge is stable. This difference between rainfall estimation and discharge can be the consequence of:• rainfall under estimation, mainly in the equatorial region (north Peru, Colombia) were rainfall data is rare,• impact of the deforestation : with the same rainfall, there is more runoff, etc…• and/or change in the rainfall regime, with higher intensity, i.e. more runoff.For the same period (1975-2005), annual flood discharges are increasing, while annual low flows are decreasing, traducing an increasing amplitude of discharge at the Óbidos station.
The study of these tendencies in the different sub basins should allow us to understand better the impact of the climatic variability in the Amazon basin.
=> More data is required, => We have to help the Andean countries in this way
HYBAM Observatorywww.ore-hybam.org
0
1 000 000
2 000 000
3 000 000
4 000 000
5 000 000
6 000 000
7 000 000
01/01/95 31/12/96 01/01/99 31/12/00 01/01/03 31/12/04
Su
spen
ded
Sed
imen
t Y
ield
(t/
d)
From MODIS DataFrom Sampling Data
Suspended Sediment Yield : Amazon River at Óbidos (1995 - today)Suspended Sediment Yield : Amazon River at Óbidos (1995 - today)
Guyot et al. (in press). Guyot et al. (in press). IAHSIAHS