modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

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Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions Jai Vaze, Francis Chiew, Nick Potter, David Post, Cuan Petheram, Julien Lerat, Jin Teng, Biao Wang 22 July 2013, Session Hw15S1, IAHS-IAPSO-IASPEI Assembly, Gothenburg, Sweden CSIRO WATER FOR A HEALTHY COUNTRY FLAGSHIP A water information R & D alliance between the Bureau of Meteorology and CSIRO’s Water for a Healthy Country Flagship

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Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions. CSIRO Water for a healthy country flagship. Jai Vaze, Francis Chiew, Nick Potter, David Post, Cuan Petheram, Julien Lerat, Jin Teng, Biao Wang. - PowerPoint PPT Presentation

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Page 1: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Jai Vaze, Francis Chiew, Nick Potter, David Post, Cuan Petheram, Julien Lerat, Jin Teng, Biao Wang 22 July 2013, Session Hw15S1, IAHS-IAPSO-IASPEI Assembly, Gothenburg, Sweden

CSIRO WATER FOR A HEALTHY COUNTRY FLAGSHIP

A water information R & D alliance between the Bureau of Meteorology and CSIRO’s Water for a Healthy Country Flagship

Page 2: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Background• Number of recent studies investigating/highlighting hydro-climate nonstationarity

Evaluation criteria

• Level 1

• Calibrate the hydrological model using complete period

• Calculate the efficiency criteria (NSE, bias, NSEiQ) for each of the 5 sub-periods

• Level 2

• Calibrate the hydrological model using each of the 5 sub-periods

• Calculate the efficiency criteria (NSE, bias, NSEiQ) for the complete period as well as each of the 5 sub-periods

• Level 3

• Improvement of model behaviour/performance in non-stationary conditions

Objective function: NSE-bias of daily streamflow 2.5

Q 5 ln(1 )F NSE WBE

Page 3: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Data and Models• Modelling experiments using data from seven catchment

• Axe Creek (Aus)• Durance (France)• Ferson (USA)• Flinders (Aus)• Gilbert (Aus)• Kamp-zwettl (Austria)• Lissbro (Sweden)

• Six conceptual daily rainfall-runoff models• Sacramento (14)• SIMHYD (7)• GR4J (4)• AWBM (6)• SMARG (8)• IHACRES (7)

Page 4: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

IAHS Gothenburg HW15S1 | Jai Vaze |

Changes in dominant hydrological processes(during long dry spells)

• Changing rainfall-runoff relationship.

• Interception activities (like farm dams) intercepting proportionally more water during long dry spells.

• Reduced surface water and groundwater connectivity during long dry spells.

• Most rainfall filling the empty groundwater store post 1997.

[Petheram et al., MODSIM, 2011]

Axe Creek catchment

Page 5: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0.36 0.32 0.31 0.31 0.26 0.510.28 0.30 0.31 0.31 0.33 -0.110.78 0.77 0.76 0.76 0.72 0.610.80 0.80 0.79 0.79 0.72 0.550.42 0.38 0.37 0.37 0.30 0.53

-0.98 -1.05 -1.06 -1.06 -1.14 -0.31

0.77 0.76 0.76 0.76 0.74 0.580.81 0.82 0.80 0.81 0.76 0.600.74 0.74 0.75 0.74 0.69 0.500.75 0.75 0.75 0.76 0.72 0.450.63 0.57 0.60 0.64 0.68 0.47

-0.39 -1.02 -0.58 -0.61 0.00 0.47

0.02 0.15 0.09 0.12 0.01 -0.57-0.09 0.01 -0.04 -0.01 -0.08 -0.59-0.04 0.09 0.03 0.05 -0.08 -0.61-0.07 0.06 0.00 0.02 -0.10 -0.650.09 0.26 0.18 0.19 0.04 -0.602.33 3.03 2.72 2.71 2.06 0.02

0

500

1000

1500

Axe Creek catchment – GR4J

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 236.9 km2

Very low discharge during the period 1997-2008 ('Millennium Drought') due to low annual rainfall, 'changed' rainfall characteristics and higher T.

1973 1977 1981 1985 1989 1993 1997 2001 2005 20090

120

240

1973-1979 1980-1986 1987-1993 1994-2000 2001-2007

P=5143, Q=722 P=4199, Q=473 P=4867, Q=552 P=3872, Q=258 P=3318, Q=35

Rc=0.14 Rc=0.11 Rc=0.11 Rc=0.07 Rc=0.01

[Vaze et al., 2010, Journal of Hydrology]

Page 6: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Ferson catchment - AWBM 0

500

1000

1500

0

400

800

0.66 0.63 0.60 0.63 0.64 0.630.59 0.61 0.58 0.54 0.58 0.490.51 0.53 0.58 0.41 0.52 0.370.72 0.67 0.61 0.74 0.69 0.710.71 0.68 0.68 0.66 0.72 0.640.65 0.60 0.56 0.64 0.64 0.68

Completep1p2p3p4p5

0.04 0.03 -0.01 0.05 -0.03 0.170.13 0.09 0.05 0.15 0.04 0.270.07 0.11 0.04 0.08 0.00 0.200.05 0.01 -0.01 0.06 -0.03 0.180.16 0.14 0.08 0.16 0.03 0.31

-0.09 -0.11 -0.14 -0.09 -0.14 0.01

Completep1p2p3p4p5

0.43 0.17 0.38 -0.30 0.40 0.470.59 0.27 0.53 -2.04 0.59 0.590.29 0.02 0.24 0.41 0.30 0.360.45 0.16 0.42 -0.32 0.45 0.560.41 0.11 0.34 -1.26 0.31 0.400.58 0.40 0.52 -0.94 0.37 0.61

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 134 km2

Growing urbanisation of the catchment:1980 ~22% to 2010 ~ 64%

Page 7: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Ferson catchment – GR4J 0

500

1000

1500

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 134 km2

Growing urbanisation of the catchment:1980 ~22% to 2010 ~ 64%0

400

800

0.72 0.70 0.70 0.70 0.71 0.680.67 0.69 0.68 0.59 0.69 0.560.63 0.65 0.66 0.59 0.64 0.530.76 0.74 0.73 0.78 0.75 0.730.77 0.77 0.76 0.74 0.78 0.700.70 0.67 0.66 0.69 0.68 0.72

0.01 -0.06 -0.05 0.01 -0.08 0.190.07 -0.01 0.01 0.08 -0.03 0.260.08 0.00 0.02 0.08 -0.02 0.280.00 -0.07 -0.05 -0.01 -0.09 0.170.13 0.04 0.06 0.13 0.02 0.34

-0.13 -0.18 -0.17 -0.13 -0.20 0.01

0.66 0.64 0.59 0.68 0.68 0.590.63 0.63 0.60 0.58 0.62 0.590.61 0.57 0.51 0.68 0.65 0.520.64 0.65 0.60 0.63 0.65 0.560.65 0.63 0.58 0.67 0.66 0.580.58 0.61 0.60 0.45 0.57 0.53

Page 8: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Ferson catchment – IHACRES0

500

1000

1500

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 134 km2

Growing urbanisation of the catchment:1980 ~22% to 2010 ~ 64%0

400

800

0.66 0.58 0.61 0.61 0.62 0.630.58 0.63 0.59 0.49 0.58 0.470.58 0.48 0.63 0.42 0.58 0.530.68 0.65 0.60 0.72 0.65 0.660.65 0.54 0.65 0.53 0.70 0.570.68 0.55 0.60 0.65 0.59 0.71

0.00 -0.12 -0.07 0.03 -0.08 0.100.06 0.00 0.00 0.19 -0.05 0.190.05 -0.06 -0.02 0.08 -0.03 0.15

-0.03 -0.14 -0.12 -0.01 -0.10 0.070.08 -0.03 -0.07 0.09 0.00 0.19

-0.10 -0.27 -0.13 -0.11 -0.15 -0.01

0.13 0.36 -0.83 0.39 0.33 0.050.19 0.55 0.33 0.53 0.32 0.090.01 0.19 0.30 0.34 0.20 -0.060.13 0.42 -0.26 0.51 0.33 0.010.03 0.32 -2.51 0.22 0.32 -0.070.46 0.54 -5.60 0.44 0.30 0.39

Page 9: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Ferson catchment – Sacramento0

500

1000

1500

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 134 km2

Growing urbanisation of the catchment:1980 ~22% to 2010 ~ 64%

0.73 0.69 0.69 0.71 0.70 0.710.66 0.70 0.67 0.64 0.63 0.600.60 0.60 0.63 0.56 0.53 0.520.78 0.71 0.73 0.80 0.75 0.750.78 0.73 0.72 0.76 0.80 0.740.72 0.68 0.68 0.70 0.70 0.75

0.02 -0.04 -0.02 0.00 -0.05 0.110.09 0.02 0.05 0.08 0.02 0.190.06 0.00 0.03 0.04 -0.02 0.170.03 -0.03 -0.01 0.01 -0.03 0.120.09 0.01 0.05 0.07 0.01 0.23

-0.11 -0.15 -0.14 -0.11 -0.15 -0.04

0.49 -0.93 0.36 -1.58 0.23 0.430.57 0.37 0.59 -1.35 0.23 0.470.38 -0.13 0.31 0.24 0.33 0.360.49 0.47 0.39 -0.27 0.56 0.330.46 -6.16 0.42 -7.01 -0.12 0.390.59 -0.58 -1.30 -1.47 -1.07 0.51

0

400

800

Page 10: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Ferson catchment – Simhyd0

500

1000

1500

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 134 km2

Growing urbanisation of the catchment:1980 ~22% to 2010 ~ 64%

0.66 0.64 0.62 0.63 0.61 0.640.61 0.66 0.63 0.51 0.60 0.500.53 0.55 0.59 0.45 0.52 0.430.67 0.56 0.52 0.74 0.53 0.690.64 0.67 0.67 0.52 0.70 0.570.70 0.67 0.65 0.68 0.65 0.72

0.04 -0.03 -0.04 0.11 -0.05 0.130.13 0.04 0.01 0.21 -0.01 0.230.14 0.07 0.05 0.20 0.01 0.210.00 -0.06 -0.06 0.07 -0.06 0.090.16 0.06 0.05 0.26 0.03 0.29

-0.11 -0.15 -0.15 -0.06 -0.16 -0.04

0.52 0.55 0.49 0.49 -0.57 -1.650.24 0.35 0.31 0.15 -1.76 -3.570.67 0.59 0.46 0.60 0.20 -0.170.31 0.39 0.40 0.40 -3.84 -7.830.46 0.54 0.51 0.41 -0.63 -1.66

-0.38 0.06 0.14 -0.32 -1.94 -5.54

0

400

800

Page 11: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Ferson catchment – SMARG0

500

1000

1500

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 134 km2

Growing urbanisation of the catchment:1980 ~22% to 2010 ~ 64%

0.64 0.63 0.61 0.61 0.63 0.580.62 0.65 0.60 0.52 0.64 0.440.53 0.56 0.59 0.45 0.53 0.320.66 0.61 0.57 0.71 0.60 0.640.69 0.70 0.67 0.64 0.71 0.550.64 0.62 0.61 0.61 0.64 0.67

-0.01 -0.05 -0.03 0.01 -0.04 0.110.05 0.01 -0.01 0.11 0.03 0.150.02 -0.02 0.03 0.04 0.03 0.17

-0.02 -0.05 -0.01 0.00 -0.06 0.090.08 0.02 0.08 0.11 0.00 0.27

-0.13 -0.16 -0.13 -0.11 -0.14 -0.03

-9.13 -9.35 -4.55 -56.01 -13.96 -37.38-7.77 -0.61 -19.96 -122.47 -11.17 -103.25-3.40 -2.16 -0.31 -32.76 -8.17 -22.58

-16.61 -3.93 -3.65 -140.30 -26.47 -106.84-12.82 -4.46 -4.78 -83.05 -24.91 -47.55-45.19 -103.74 -22.25 -105.45 -38.80 -51.70

0

400

800

Page 12: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

1973 1977 1981 1985 1989 1993 1997 2001 2005 20090

120

240

0

500

1000

1500

Axe Creek catchment - AWBM

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 236.9 km2

Very low discharge during the period 1997-2008 ('Millennium Drought') due to low annual rainfall, 'changed' rainfall characteristics and higher T.

0.43 -0.19 0.39 0.03 0.16 -0.360.30 0.11 0.30 0.39 0.40 -0.150.53 -0.66 0.51 0.29 0.37 -0.890.56 -0.33 0.60 0.27 0.37 -0.400.42 -0.38 0.40 0.08 0.20 -0.54

-0.51 -1.25 -0.61 -1.10 -0.93 -1.27

-0.01 0.08 0.01 0.15 -0.08 -0.48-0.12 0.01 -0.11 0.04 -0.20 -0.47-0.02 0.14 -0.01 0.17 -0.11 -0.41-0.11 0.01 -0.09 0.01 -0.13 -0.61-0.02 0.01 0.03 0.14 -0.01 -0.562.67 1.87 2.93 3.22 2.67 0.19

0.60 0.59 0.60 0.58 0.55 0.320.62 0.66 0.62 0.60 0.57 0.290.65 0.65 0.65 0.65 0.62 0.400.55 0.53 0.55 0.59 0.54 0.240.48 0.43 0.48 0.48 0.50 0.20

-1.14 -0.75 -1.06 -0.75 -0.39 0.20

Page 13: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0.36 0.32 0.31 0.31 0.26 0.510.28 0.30 0.31 0.31 0.33 -0.110.78 0.77 0.76 0.76 0.72 0.610.80 0.80 0.79 0.79 0.72 0.550.42 0.38 0.37 0.37 0.30 0.53

-0.98 -1.05 -1.06 -1.06 -1.14 -0.31

0.77 0.76 0.76 0.76 0.74 0.580.81 0.82 0.80 0.81 0.76 0.600.74 0.74 0.75 0.74 0.69 0.500.75 0.75 0.75 0.76 0.72 0.450.63 0.57 0.60 0.64 0.68 0.47

-0.39 -1.02 -0.58 -0.61 0.00 0.47

0.02 0.15 0.09 0.12 0.01 -0.57-0.09 0.01 -0.04 -0.01 -0.08 -0.59-0.04 0.09 0.03 0.05 -0.08 -0.61-0.07 0.06 0.00 0.02 -0.10 -0.650.09 0.26 0.18 0.19 0.04 -0.602.33 3.03 2.72 2.71 2.06 0.02

0

500

1000

1500

Axe Creek catchment – GR4J

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 236.9 km2

Very low discharge during the period 1997-2008 ('Millennium Drought') due to low annual rainfall, 'changed' rainfall characteristics and higher T.

1973 1977 1981 1985 1989 1993 1997 2001 2005 20090

120

240

Page 14: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0.56 0.42 -0.86 -0.93 -0.37 -0.490.56 0.42 -2.63 -2.68 -1.72 -0.950.31 -0.11 -1.46 -1.64 -0.83 -1.220.49 0.27 -1.92 -1.97 -0.71 -0.690.15 -0.07 -2.50 -2.75 -1.97 -0.82

-0.40 -0.40 -0.15 -0.37 -0.24 -1.41

0.00 -0.05 0.08 0.18 0.53 1.530.02 0.00 0.06 0.23 0.56 1.15

-0.08 -0.06 0.01 0.05 0.21 2.90-0.13 -0.19 -0.03 0.00 0.33 0.48-0.19 -0.19 -0.07 -0.12 0.00 2.330.68 0.13 1.21 0.65 1.04 -0.01

0.63 0.61 0.62 0.60 0.35 -1.330.63 0.64 0.63 0.61 0.51 -0.620.65 0.64 0.66 0.64 0.58 -3.200.59 0.56 0.57 0.61 0.44 -0.380.52 0.49 0.49 0.53 0.62 -2.02

-0.10 0.14 -0.54 -0.04 -0.22 0.38

0

500

1000

1500

Axe Creek catchment - IHACRES

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 236.9 km2

Very low discharge during the period 1997-2008 ('Millennium Drought') due to low annual rainfall, 'changed' rainfall characteristics and higher T.

1973 1977 1981 1985 1989 1993 1997 2001 2005 20090

120

240

Page 15: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

-0.44 -0.97 -0.33 0.28 -0.53 -0.34-1.88 -2.67 -1.55 0.35 -0.03 0.05-0.71 -1.44 -0.55 0.24 -0.39 -0.72-1.36 -2.17 -1.19 0.24 -0.30 -0.36-1.43 -2.44 -1.24 0.47 -0.60 -0.60-0.10 -0.42 0.00 0.03 -1.35 -1.37

0.01 0.05 0.06 0.16 0.06 -0.14-0.07 0.01 -0.01 0.05 -0.01 -0.09-0.06 0.04 0.01 0.08 -0.03 -0.15-0.11 -0.06 -0.07 0.01 -0.10 -0.31-0.06 -0.02 -0.01 0.15 0.00 -0.221.60 1.15 1.73 2.73 2.12 0.00

0

500

1000

1500

Axe Creek catchment - Sacramento

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 236.9 km2

Very low discharge during the period 1997-2008 ('Millennium Drought') due to low annual rainfall, 'changed' rainfall characteristics and higher T.

1973 1977 1981 1985 1989 1993 1997 2001 2005 20090

120

240

0.76 0.75 0.75 0.76 0.74 0.620.77 0.79 0.76 0.77 0.76 0.740.77 0.76 0.78 0.77 0.76 0.670.75 0.74 0.74 0.76 0.75 0.580.66 0.61 0.64 0.67 0.69 0.50

-0.09 -0.42 -0.21 -0.29 0.24 0.52

Page 16: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0.06 0.14 0.09 0.19 0.06 -0.02-0.09 0.04 -0.06 0.04 -0.09 0.000.03 0.15 0.05 0.20 0.04 0.00

-0.07 0.01 -0.03 0.04 -0.07 -0.050.05 0.17 0.10 0.22 0.05 -0.183.28 2.55 3.47 3.61 3.23 0.01

-0.47 -0.46 -0.45 -0.42 -0.26 -0.63-1.43 -1.46 -1.38 -1.28 -0.98 -2.04-0.76 -0.76 -0.73 -0.68 -0.40 -1.07-1.23 -1.22 -1.18 -1.07 -0.79 -1.59-1.15 -1.15 -1.11 -1.06 -0.80 -1.62-0.20 -0.16 -0.20 -0.21 -0.17 -0.22

0.62 0.60 0.63 0.62 0.61 0.510.62 0.69 0.63 0.66 0.61 0.580.66 0.63 0.66 0.65 0.63 0.460.58 0.53 0.59 0.62 0.58 0.420.52 0.37 0.53 0.51 0.53 0.23

-0.64 -0.31 -0.75 -0.78 -0.49 0.39

0

500

1000

1500

Axe Creek catchment - Simhyd

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 236.9 km2

Very low discharge during the period 1997-2008 ('Millennium Drought') due to low annual rainfall, 'changed' rainfall characteristics and higher T.

1973 1977 1981 1985 1989 1993 1997 2001 2005 20090

120

240

Page 17: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

-0.36 -0.35 -0.12 -0.43 -0.20 0.04-0.57 -0.57 -0.43 -1.24 -1.34 -0.59-1.04 -1.04 -0.93 -0.94 -0.68 -0.95-0.57 -0.57 -0.35 -0.53 -0.49 -0.22-0.77 -0.76 -0.58 -0.75 -0.73 -0.32-1.36 -1.35 -1.15 -1.33 -0.18 -0.83

0.72 0.72 0.61 0.61 0.62 0.310.75 0.78 0.70 0.49 0.59 0.300.70 0.71 0.75 0.70 0.62 0.310.63 0.63 0.55 0.67 0.58 0.070.49 0.47 0.48 0.54 0.55 0.150.09 -0.26 -0.25 -0.27 -0.44 0.51

0.06 0.23 -0.06 -0.04 0.00 -0.55-0.08 0.04 -0.13 -0.44 -0.27 -0.530.02 0.20 0.04 0.02 0.02 -0.460.06 0.22 -0.15 0.07 0.00 -0.700.14 0.34 -0.03 0.20 0.04 -0.701.50 2.33 1.90 2.35 2.67 0.00

0

500

1000

1500

Axe Creek catchment - SMARG

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 236.9 km2

Very low discharge during the period 1997-2008 ('Millennium Drought') due to low annual rainfall, 'changed' rainfall characteristics and higher T.

1973 1977 1981 1985 1989 1993 1997 2001 2005 20090

120

240

Page 18: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0.08 0.08 -0.07 0.08 0.05 0.060.07 0.08 -0.29 0.07 0.03 0.050.06 0.06 -0.02 0.05 0.00 0.010.09 0.08 0.00 0.09 0.07 0.080.09 0.08 0.00 0.10 0.10 0.090.08 0.08 -0.03 0.08 0.03 0.05

1904 1912 1920 1928 1936 1944 1952 1960 1968 1976 1984 1992 2000 20080

500

1000

1500

Durance catchment - AWBM

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 2170 km2

Temperature increase implying a diminution of glaciers

-0.23 -0.23 -0.65 -0.27 -0.35 -0.40-0.17 -0.19 -1.17 -0.22 -0.28 -0.36-0.37 -0.37 -0.39 -0.41 -0.49 -0.53-0.18 -0.17 -0.53 -0.22 -0.32 -0.38-0.26 -0.25 -0.58 -0.29 -0.38 -0.42-0.17 -0.16 -0.59 -0.20 -0.28 -0.34

0.01 -0.01 -0.02 0.03 0.12 0.120.01 0.00 -0.43 0.05 0.14 0.130.07 0.06 0.02 0.11 0.20 0.20

-0.03 -0.05 0.07 0.00 0.08 0.08-0.05 -0.07 0.08 -0.03 0.05 0.050.03 0.00 0.17 0.05 0.13 0.13

0

1000

2000

Page 19: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

-0.17 -0.17 -0.16 -0.18 -0.21 -0.17-0.23 -0.22 -0.21 -0.24 -0.28 -0.22-0.23 -0.21 -0.19 -0.25 -0.30 -0.21-0.19 -0.19 -0.19 -0.20 -0.22 -0.19-0.07 -0.07 -0.08 -0.07 -0.08 -0.07-0.18 -0.17 -0.16 -0.19 -0.23 -0.17

Durance catchment – GR4J

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 2170 km2

Temperature increase implying a diminution of glaciers

-0.28 -0.28 -0.31 -0.27 -0.28 -0.28-0.16 -0.16 -0.18 -0.16 -0.17 -0.16-0.34 -0.34 -0.34 -0.34 -0.37 -0.34-0.36 -0.38 -0.42 -0.35 -0.34 -0.38-0.27 -0.26 -0.27 -0.27 -0.30 -0.27-0.27 -0.29 -0.34 -0.26 -0.25 -0.29

-0.08 -0.10 -0.14 -0.05 0.01 -0.10-0.06 -0.08 -0.13 -0.04 0.02 -0.08-0.02 -0.04 -0.08 0.01 0.07 -0.04-0.10 -0.12 -0.16 -0.08 -0.02 -0.12-0.14 -0.16 -0.20 -0.11 -0.06 -0.16-0.06 -0.08 -0.13 -0.03 0.03 -0.08

0

1000

2000

1904 1912 1920 1928 1936 1944 1952 1960 1968 1976 1984 1992 2000 20080

500

1000

1500

Page 20: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0.19 0.18 0.16 0.15 0.12 0.160.19 0.21 0.16 0.17 0.13 0.110.11 0.07 0.17 -0.06 -0.14 0.070.21 0.22 0.15 0.23 0.21 0.190.24 0.23 0.17 0.26 0.27 0.220.17 0.13 0.14 0.12 0.09 0.19

Durance catchment - IHACRES

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 2170 km2

Temperature increase implying a diminution of glaciers

0.06 -0.05 0.11 -0.01 -0.08 -0.030.11 -0.03 0.15 0.05 -0.08 0.00

-0.15 -0.15 -0.05 -0.24 -0.27 -0.260.14 0.03 0.16 0.10 0.03 0.010.09 0.01 0.16 0.01 -0.01 -0.030.14 -0.13 0.13 0.07 -0.06 0.15

-0.03 -0.08 -0.14 0.04 0.08 0.060.02 -0.03 -0.08 0.10 0.13 0.150.11 0.08 -0.03 0.22 0.25 0.20

-0.07 -0.14 -0.18 -0.02 0.02 0.02-0.11 -0.17 -0.20 -0.06 -0.02 -0.01-0.08 -0.15 -0.21 -0.03 0.02 -0.03

0

1000

2000

1904 1912 1920 1928 1936 1944 1952 1960 1968 1976 1984 1992 2000 20080

500

1000

1500

Page 21: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

-1.15 -1.19 -1.17 -1.15 -1.30 -1.17-1.16 -1.12 -1.20 -1.18 -1.30 -1.22-1.50 -1.56 -1.47 -1.49 -1.88 -1.49-1.20 -1.30 -1.21 -1.20 -1.34 -1.21-0.66 -0.65 -0.71 -0.68 -0.54 -0.71-1.49 -1.62 -1.47 -1.47 -1.90 -1.45

Durance catchment - Sacramento

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 2170 km2

Temperature increase implying a diminution of glaciers

-15.30 -26.98 -21.92 -14.90 -10.08 -12.96-20.98 -34.41 -28.62 -20.41 -14.97 -17.82

-4.22 -6.35 -5.60 -4.18 -2.95 -3.86-9.73 -17.03 -14.13 -9.56 -5.97 -8.56

-11.40 -21.42 -16.97 -11.09 -6.91 -9.53-29.82 -56.14 -44.34 -28.88 -19.06 -24.66

0.13 0.13 0.13 0.13 0.13 0.130.15 0.15 0.15 0.15 0.16 0.150.20 0.20 0.20 0.20 0.20 0.200.10 0.10 0.10 0.10 0.10 0.100.06 0.06 0.06 0.06 0.06 0.060.15 0.15 0.15 0.15 0.15 0.15

0

1000

2000

1904 1912 1920 1928 1936 1944 1952 1960 1968 1976 1984 1992 2000 20080

500

1000

1500

Page 22: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0.00 -0.01 -0.11 0.00 -0.02 -0.01-0.04 -0.03 -0.32 -0.04 -0.06 -0.04-0.08 -0.08 -0.08 -0.07 -0.10 -0.090.04 0.03 -0.03 0.04 0.02 0.030.07 0.05 -0.04 0.07 0.08 0.05

-0.04 -0.04 -0.12 -0.04 -0.07 -0.04

Durance catchment - Simhyd

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 2170 km2

Temperature increase implying a diminution of glaciers

-0.23 -0.29 -0.73 -0.24 -0.17 -0.26-0.16 -0.23 -1.95 -0.17 -0.08 -0.20-0.36 -0.39 -0.27 -0.36 -0.32 -0.37-0.22 -0.28 -0.39 -0.23 -0.18 -0.26-0.26 -0.32 -0.50 -0.27 -0.20 -0.30-0.16 -0.22 -0.50 -0.17 -0.09 -0.19

0.11 0.11 -0.03 0.11 0.11 0.110.13 0.13 -0.40 0.13 0.13 0.130.19 0.19 0.01 0.19 0.18 0.190.08 0.08 0.02 0.08 0.08 0.080.04 0.04 0.06 0.04 0.04 0.040.12 0.12 0.15 0.12 0.13 0.12

0

1000

2000

1904 1912 1920 1928 1936 1944 1952 1960 1968 1976 1984 1992 2000 20080

500

1000

1500

Page 23: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0.07 0.05 0.06 0.07 0.05 0.060.05 0.06 0.05 0.05 0.02 0.050.02 0.00 0.02 0.02 0.01 0.020.08 0.07 0.08 0.08 0.07 0.080.10 0.07 0.10 0.10 0.11 0.090.06 0.04 0.04 0.06 -0.02 0.06

Durance catchment - SMARG

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 2170 km2

Temperature increase implying a diminution of glaciers

-0.37 -0.42 -0.36 -0.36 -0.33 -0.38-0.31 -0.37 -0.30 -0.31 -0.27 -0.33-0.50 -0.54 -0.49 -0.50 -0.48 -0.51-0.34 -0.41 -0.33 -0.33 -0.30 -0.36-0.39 -0.44 -0.38 -0.38 -0.36 -0.40-0.29 -0.36 -0.28 -0.28 -0.25 -0.31

0.11 0.11 0.11 0.11 0.11 0.110.13 0.12 0.13 0.13 0.13 0.120.19 0.20 0.19 0.19 0.19 0.190.07 0.07 0.08 0.08 0.08 0.070.04 0.05 0.04 0.04 0.04 0.040.12 0.12 0.12 0.12 0.12 0.12

0

1000

2000

1904 1912 1920 1928 1936 1944 1952 1960 1968 1976 1984 1992 2000 20080

500

1000

1500

Page 24: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Flinders catchment - AWBM

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 1912 km2

The analysis of non-stationarity in this catchment is complicated by the high inter-annual variability and the intermittency of the flow regime.

-1.46 -2.31 -1.43 -1.41 -0.13 -0.08-1.25 -1.85 -1.20 -1.10 0.12 -0.10-2.24 -3.25 -2.50 -2.22 -0.71 0.05-1.71 -3.47 -1.39 -2.16 -0.57 0.09-1.46 -2.19 -1.33 -1.28 -0.12 -0.12-1.61 -2.11 -1.64 -1.48 -0.16 -0.29

0.02 -0.09 -0.20 0.02 0.29 0.110.13 -0.01 -0.07 0.14 0.39 0.280.29 0.14 0.04 0.21 0.60 0.46

-0.24 -0.16 -0.31 -0.02 0.17 0.05-0.15 -0.34 -0.54 -0.28 -0.01 -0.320.09 0.07 -0.37 0.09 0.30 -0.05

0.56 0.49 0.49 0.46 0.41 -0.650.54 0.57 0.41 0.32 -0.02 -1.400.60 0.63 0.69 0.59 0.38 -1.790.57 0.59 0.63 0.73 0.48 -0.230.59 0.39 0.43 0.44 0.61 0.350.52 0.36 0.40 0.44 0.56 0.83

1973 1977 1981 1985 1989 1993 1997 2001 2005 20090

100

200

300

0

500

1000

1500

Page 25: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Flinders catchment – GR4J

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 1912 km2

The analysis of non-stationarity in this catchment is complicated by the high inter-annual variability and the intermittency of the flow regime.

-1.05 -0.28 -1.21 -2.41 -1.25 -0.36-0.70 -0.01 -0.88 -1.89 -0.88 -0.08-1.84 -0.94 -1.95 -3.26 -2.11 -1.04-1.48 -0.66 -1.51 -3.66 -1.82 -0.75-1.08 -0.27 -1.31 -2.42 -1.25 -0.34-1.39 -0.60 -1.58 -2.17 -1.51 -0.68

-0.04 -0.12 -0.20 0.14 0.13 -0.100.04 -0.07 -0.10 0.30 0.21 -0.040.18 0.10 -0.03 0.23 0.40 0.13

-0.31 -0.38 -0.38 0.01 -0.22 -0.37-0.23 -0.26 -0.43 -0.05 -0.02 -0.240.06 -0.03 -0.18 0.25 0.33 0.01

0.59 0.56 0.53 0.54 0.52 0.550.38 0.44 0.38 0.36 0.35 0.430.48 0.27 0.64 0.61 0.18 0.250.38 0.36 0.47 0.71 0.31 0.350.63 0.66 0.47 0.66 0.66 0.650.88 0.93 0.56 0.56 0.90 0.93

0

500

1000

1500

1973 1977 1981 1985 1989 1993 1997 2001 2005 20090

100

200

300

Page 26: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Flinders catchment - IHACRES

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 1912 km2

The analysis of non-stationarity in this catchment is complicated by the high inter-annual variability and the intermittency of the flow regime.

-1.17 0.15 0.51 0.15 0.43 -2.33-1.03 0.18 0.51 0.31 0.41 -1.72-2.15 -0.15 0.39 -0.32 0.31 -3.47-1.39 -0.02 0.59 0.05 0.53 -3.54-0.97 0.13 0.55 0.22 0.39 -2.35-1.41 0.25 0.38 0.20 0.40 -1.94

0.00 -0.07 -0.10 0.36 0.23 3.650.11 0.01 0.07 0.60 0.41 7.820.18 0.07 0.01 0.47 0.40 2.76

-0.27 -0.27 -0.31 0.01 -0.11 3.96-0.15 -0.16 -0.25 0.21 0.00 -0.020.17 0.16 -0.08 0.56 0.29 -0.01

0.58 0.55 0.56 0.50 0.51 -31.510.50 0.55 0.47 0.30 0.23 -105.380.66 0.67 0.70 0.54 0.51 -9.360.60 0.58 0.60 0.69 0.57 -22.240.65 0.59 0.59 0.59 0.69 -1.250.55 0.45 0.45 0.50 0.58 0.95

0

500

1000

1500

1973 1977 1981 1985 1989 1993 1997 2001 2005 20090

100

200

300

Page 27: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Flinders catchment - Sacramento

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 1912 km2

The analysis of non-stationarity in this catchment is complicated by the high inter-annual variability and the intermittency of the flow regime.

-0.22 -2.17 0.17 -2.09 0.22 0.02-0.06 -1.76 0.23 -1.77 0.43 0.01-0.46 -3.07 0.34 -3.04 0.19 0.16-0.08 -3.07 0.22 -2.55 0.15 0.19-0.38 -2.15 0.13 -2.12 0.09 -0.01-0.40 -2.08 -0.16 -2.09 -0.10 -0.22

0.00 -0.10 -0.17 0.29 0.22 0.220.12 0.00 -0.02 0.44 0.41 0.380.13 0.05 -0.02 0.46 0.43 0.50

-0.34 -0.35 -0.33 -0.01 -0.08 -0.03-0.11 -0.18 -0.41 0.12 0.00 -0.120.27 0.12 -0.25 0.62 0.20 -0.04

0.75 0.62 0.55 0.54 0.48 -0.420.62 0.67 0.30 0.31 0.10 -1.220.73 0.71 0.78 0.62 0.47 -1.370.67 0.63 0.60 0.80 0.61 -0.170.70 0.67 0.63 0.69 0.78 0.210.90 0.52 0.56 0.53 0.65 0.94

0

500

1000

1500

1973 1977 1981 1985 1989 1993 1997 2001 2005 20090

100

200

300

Page 28: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Flinders catchment - Simhyd

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 1912 km2

The analysis of non-stationarity in this catchment is complicated by the high inter-annual variability and the intermittency of the flow regime.

0.11 0.06 0.18 -0.08 0.14 0.260.16 0.13 0.23 0.05 0.17 0.31

-0.12 -0.22 -0.07 -0.42 -0.03 0.000.11 0.02 0.17 -0.24 0.16 0.210.12 0.08 0.20 -0.07 0.14 0.280.02 -0.01 0.11 -0.11 0.04 0.23

0.01 -0.06 -0.02 0.22 0.18 0.140.09 0.00 0.10 0.33 0.25 0.260.10 0.03 0.02 0.32 0.31 0.45

-0.22 -0.27 -0.18 -0.02 -0.08 -0.03-0.11 -0.17 -0.24 0.06 0.03 -0.220.28 0.24 0.12 0.53 0.45 -0.01

0.65 0.63 0.57 0.54 0.61 0.240.57 0.60 0.25 0.43 0.46 -0.410.71 0.70 0.75 0.67 0.59 0.010.71 0.66 0.66 0.73 0.71 0.190.70 0.64 0.66 0.69 0.76 0.540.66 0.62 0.65 0.61 0.71 0.78

0

500

1000

1500

1973 1977 1981 1985 1989 1993 1997 2001 2005 20090

100

200

300

Page 29: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Flinders catchment - SMARG

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 1912 km2

The analysis of non-stationarity in this catchment is complicated by the high inter-annual variability and the intermittency of the flow regime.

-0.75 -1.66 -1.13 0.04 -2.19 -2.37-0.57 -1.48 -1.19 0.01 -1.51 -1.82-1.86 -3.17 -2.47 -0.24 -3.32 -3.42-1.71 -3.34 -2.12 -0.09 -3.46 -3.67-0.21 -1.83 -1.00 0.29 -2.16 -2.38-0.04 -0.01 0.22 0.11 -1.93 -1.98

-0.02 -0.15 -0.15 0.38 0.27 0.160.21 0.03 0.07 0.32 0.44 0.320.13 0.11 0.00 0.88 0.69 0.56

-0.21 -0.28 -0.26 -0.06 0.00 -0.08-0.27 -0.35 -0.42 0.16 0.00 -0.05-0.14 -0.39 -0.32 0.42 0.17 -0.02

0.65 0.56 0.60 0.49 0.52 0.410.39 0.69 0.46 -0.05 0.34 -0.360.74 0.74 0.80 0.33 0.36 0.500.64 0.59 0.58 0.68 0.59 0.540.64 0.62 0.58 0.49 0.77 0.260.74 0.34 0.55 0.80 0.69 0.95

0

500

1000

1500

1973 1977 1981 1985 1989 1993 1997 2001 2005 20090

100

200

300

Page 30: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

-0.01 0.63 -0.15 0.45 -0.05 0.33-0.46 0.01 -0.74 -0.19 -0.59 0.000.06 0.56 0.00 0.44 0.08 0.34

-0.30 0.10 -0.47 0.01 -0.41 -0.210.03 0.73 -0.09 0.54 0.00 0.35

-0.16 -0.09 -0.55 -0.21 -0.40 -0.01

-1.76 0.36 -1.46 0.16 -1.29 -0.16-2.17 0.33 -1.60 0.13 -1.42 -0.39-1.13 0.32 -0.75 0.60 -0.50 0.17-2.16 0.31 -2.00 -0.01 -1.84 -0.15-1.37 0.43 -1.23 0.54 -1.08 0.19-3.55 0.01 -3.48 -1.75 -3.39 -1.90

0

1000

2000

1969 1973 1977 1981 19850

400

800

0.67 0.32 0.65 0.48 0.50 0.510.23 0.50 0.14 0.36 0.28 0.430.77 0.42 0.80 0.53 0.49 0.570.55 0.73 0.44 0.83 0.63 0.690.33 0.10 0.17 0.37 0.55 0.430.22 0.37 0.09 0.28 0.24 0.40

Gilbert catchment - AWBM

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 1906.5 km2

The analysis of non-stationarity in this catchment is complicated by the high inter-annual variability and the intermittency of the flow regime.

Page 31: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

-0.03 0.29 -0.14 0.50 -0.03 0.65-0.62 0.01 -0.70 -0.04 -0.57 0.170.07 0.16 -0.02 0.50 0.04 0.58

-0.39 -0.19 -0.47 0.02 -0.39 0.11-0.05 0.32 -0.16 0.47 -0.03 0.66-0.68 0.02 -0.76 -0.05 -0.64 0.00

-1.10 -0.28 -0.35 -1.62 -1.21 0.04-1.83 -1.05 -1.10 -2.30 -1.93 -0.90-0.35 0.40 0.31 -0.73 -0.46 0.59-1.02 -0.59 -0.26 -1.84 -1.14 -0.10-0.75 0.13 -0.17 -1.08 -0.85 0.45-3.14 -2.60 -2.47 -3.51 -3.22 -2.20

0

1000

2000

0.74 0.52 0.73 0.55 0.63 0.320.12 0.58 0.14 0.31 0.15 0.270.81 0.70 0.82 0.63 0.66 0.540.64 0.64 0.65 0.89 0.60 0.710.49 0.15 0.42 0.31 0.56 -0.140.04 0.48 0.05 0.16 0.10 0.63

Gilbert catchment – GR4J

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 1906.5 km2

The analysis of non-stationarity in this catchment is complicated by the high inter-annual variability and the intermittency of the flow regime.

1969 1973 1977 1981 19850

500

1000

Page 32: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

-0.01 2.53 -0.25 0.79 0.13 0.42-0.65 0.00 -0.72 -0.42 -0.35 0.080.31 3.99 -0.01 1.59 0.38 0.59

-0.46 0.76 -0.64 0.00 -0.40 -0.24-0.10 1.81 -0.31 0.37 0.00 0.33-0.64 0.08 -0.74 -0.77 -0.44 0.01

-1.78 -1.56 -1.08 -0.60 0.21 0.53-2.27 -2.19 -1.67 -0.93 0.02 0.62-1.34 -1.33 -0.84 -0.57 0.39 0.43-2.14 -1.72 -1.42 -1.05 0.43 0.63-1.41 -1.26 -0.87 -0.39 0.39 0.44-3.35 -2.97 -2.60 -1.69 -0.91 0.49

0

1000

2000

0.64 -7.74 0.64 -0.61 0.43 0.350.14 0.58 0.21 0.28 0.43 0.510.72 -8.89 0.73 -0.84 0.41 0.340.37 -0.06 0.37 0.85 0.66 0.720.40 -3.61 0.39 0.31 0.56 0.470.08 -0.12 0.12 0.10 0.33 0.46

Gilbert catchment - IHACRES

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 1906.5 km2

The analysis of non-stationarity in this catchment is complicated by the high inter-annual variability and the intermittency of the flow regime.

1969 1973 1977 1981 19850

500

1000

Page 33: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

-0.01 0.47 -0.32 0.55 0.00 0.87-0.36 -0.01 -0.77 -0.07 -0.48 0.550.16 0.43 0.00 0.51 0.16 0.69

-0.50 -0.11 -0.77 0.00 -0.48 0.23-0.04 0.50 -0.38 0.60 -0.01 0.91-0.60 -0.26 -0.80 -0.28 -0.70 -0.01

0.22 -0.58 -0.49 -1.04 0.00 0.110.09 -0.83 -1.29 -1.42 -0.08 -0.300.33 -0.25 0.18 -0.63 -0.01 0.52

-0.12 -0.26 -0.40 -0.72 -0.19 0.23-0.02 -0.47 -0.24 -0.79 -0.24 0.160.09 -1.99 -2.41 -2.63 -0.07 -1.48

0

1000

2000

0.79 0.14 0.75 0.51 0.60 0.160.49 0.66 0.17 0.52 0.49 0.020.85 0.40 0.85 0.60 0.61 0.420.59 0.56 0.32 0.90 0.64 0.650.54 -0.30 0.39 0.30 0.59 -0.310.31 0.47 0.13 0.33 0.33 0.61

Gilbert catchment - Sacramento

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 1906.5 km2

The analysis of non-stationarity in this catchment is complicated by the high inter-annual variability and the intermittency of the flow regime.

1969 1973 1977 1981 19850

500

1000

Page 34: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0.04 0.33 -0.28 0.49 0.12 0.31-0.18 0.05 -0.64 0.11 -0.21 0.060.11 0.37 -0.01 0.48 0.25 0.34

-0.38 -0.18 -0.70 -0.01 -0.36 -0.19-0.07 0.27 -0.45 0.51 0.03 0.24-0.10 0.03 -0.60 -0.07 -0.20 0.06

0.34 0.34 -0.45 0.38 0.37 0.190.26 0.39 -0.83 0.37 0.37 0.300.39 0.30 -0.88 0.39 0.37 0.090.23 0.25 -0.56 0.28 0.29 0.050.56 0.44 -0.18 0.51 0.51 0.20

-0.35 0.02 -1.80 0.04 -0.09 0.18

0

1000

2000

0.75 0.49 0.68 0.48 0.46 0.560.45 0.56 0.16 0.52 0.48 0.520.83 0.50 0.83 0.55 0.45 0.620.62 0.81 0.28 0.87 0.69 0.780.49 0.51 0.19 0.33 0.55 0.430.33 0.44 0.12 0.39 0.35 0.49

Gilbert catchment - Simhyd

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 1906.5 km2

The analysis of non-stationarity in this catchment is complicated by the high inter-annual variability and the intermittency of the flow regime.

1969 1973 1977 1981 19850

400

800

Page 35: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

-0.05 0.74 -0.27 0.60 0.15 0.59-0.39 0.05 -0.60 -0.31 -0.27 0.220.08 0.62 -0.02 0.57 0.24 0.46

-0.47 0.17 -0.69 -0.01 -0.38 0.13-0.11 0.95 -0.33 0.66 0.02 0.69-0.50 0.21 -0.68 -0.02 0.00 0.00

-0.49 0.18 -0.08 0.21 0.21 -1.56-0.14 0.10 -0.15 0.01 0.46 -2.05-0.78 0.13 -0.74 0.11 -0.24 -1.01-1.32 0.16 0.14 0.18 0.02 -2.04-0.25 0.31 0.10 0.28 0.52 -1.26-1.17 -0.10 0.07 0.05 0.15 -3.29

0

1000

2000

0.69 0.36 0.71 0.36 0.37 0.440.23 0.52 0.15 0.43 0.44 0.240.79 0.50 0.83 0.50 0.36 0.600.52 0.73 0.34 0.91 0.71 0.770.36 -0.24 0.23 0.20 0.56 0.040.27 0.31 0.16 -1.49 -0.11 0.50

Gilbert catchment - SMARG

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 1906.5 km2

The analysis of non-stationarity in this catchment is complicated by the high inter-annual variability and the intermittency of the flow regime.

1969 1973 1977 1981 19850

400

800

Page 36: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0

600

1200

0

400

800

-0.02 0.06 -0.01 -0.05 0.08 -0.02-0.11 -0.02 -0.08 -0.13 0.00 -0.09-0.01 0.08 0.00 -0.04 0.10 -0.020.07 0.15 0.08 0.01 0.19 0.10

-0.05 0.03 -0.06 -0.08 0.02 -0.080.01 0.07 0.01 -0.02 0.08 0.01

0.45 0.35 0.43 0.52 0.39 0.060.26 0.48 0.59 0.51 0.37 -0.740.40 0.30 0.44 0.52 0.33 -0.270.47 0.23 0.30 0.49 0.37 0.430.55 0.42 0.49 0.57 0.45 0.030.56 0.30 0.32 0.51 0.38 0.63

0.44 0.33 0.35 0.37 0.42 0.370.32 0.46 0.42 0.44 0.33 0.010.24 0.31 0.37 0.35 0.20 -0.080.25 0.37 0.39 0.42 0.24 -0.260.51 0.43 0.42 0.45 0.53 0.400.47 0.27 0.30 0.32 0.45 0.53

Kamp-Zwettl catchment - AWBM

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 621.8 km2

increase in air temperature (i.e. mean air temp in 1976-86 is approximately 6.0C, in the period 1998-2008 it is 7.3°C), plus dramatic floods in August 2002.

Page 37: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0

600

1200

0

400

800

0.00 0.08 -0.01 -0.04 0.04 0.01-0.07 0.01 -0.07 -0.10 -0.03 -0.070.04 0.11 0.02 -0.01 0.08 0.040.05 0.14 0.04 0.01 0.10 0.07

-0.02 0.05 -0.03 -0.06 0.02 -0.030.00 0.07 -0.01 -0.04 0.03 0.00

0.69 0.48 0.49 0.68 0.67 0.680.71 0.58 0.57 0.73 0.73 0.630.65 0.44 0.48 0.66 0.61 0.670.66 0.38 0.37 0.63 0.63 0.650.70 0.48 0.51 0.69 0.67 0.700.70 0.46 0.47 0.67 0.65 0.72

0.63 0.55 0.48 0.60 0.63 0.630.44 0.52 0.49 0.48 0.44 0.390.36 0.41 0.42 0.41 0.35 0.300.45 0.45 0.44 0.49 0.44 0.400.68 0.60 0.51 0.64 0.68 0.670.70 0.56 0.46 0.64 0.70 0.71

Kamp-Zwettl catchment – GR4J

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 621.8 km2

increase in air temperature (i.e. mean air temp in 1976-86 is approximately 6.0C, in the period 1998-2008 it is 7.3°C), plus dramatic floods in August 2002.

Page 38: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0

600

1200

0

400

800

-0.02 0.01 0.04 -0.03 0.12 -0.13-0.10 -0.02 -0.07 -0.14 -0.12 -0.23-0.04 -0.01 0.00 -0.07 -0.02 -0.170.03 0.12 0.07 0.00 -0.08 -0.11

-0.09 -0.04 -0.05 -0.12 -0.01 -0.190.07 -0.01 0.16 0.12 0.56 -0.01

0.60 0.55 0.47 0.32 0.26 0.400.58 0.59 0.02 -0.59 0.29 0.470.63 0.55 0.65 0.52 0.40 0.440.52 0.42 0.50 0.50 0.44 0.410.65 0.62 0.60 0.61 0.55 0.550.64 0.57 0.59 0.62 -0.26 0.16

0.56 0.40 0.47 0.47 0.36 0.540.38 0.54 0.46 0.44 0.26 0.230.38 0.41 0.46 0.44 0.30 0.280.32 0.34 0.41 0.43 0.30 0.250.58 0.51 0.54 0.52 0.66 0.520.61 0.35 0.46 0.46 0.33 0.63

Kamp-Zwettl catchment - IHACRES

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 621.8 km2

increase in air temperature (i.e. mean air temp in 1976-86 is approximately 6.0C, in the period 1998-2008 it is 7.3°C), plus dramatic floods in August 2002.

Page 39: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0

600

1200

0

400

800

-0.07 -0.07 -0.07 -0.09 0.00 -0.07-0.14 -0.15 -0.15 -0.16 -0.08 -0.15-0.08 -0.08 -0.08 -0.09 -0.02 -0.080.00 -0.01 0.00 -0.02 0.08 0.01

-0.09 -0.10 -0.09 -0.12 -0.02 -0.09-0.04 -0.05 -0.05 -0.06 0.01 -0.04

0.60 0.57 0.31 0.62 0.57 0.130.57 0.51 -0.60 0.51 0.56 -1.220.61 0.67 0.48 0.66 0.64 0.190.56 0.47 0.53 0.60 0.45 0.560.62 0.59 0.54 0.65 0.60 0.500.62 0.60 0.60 0.66 0.59 0.62

0.63 0.17 0.34 0.28 0.40 0.620.38 0.45 0.42 0.43 0.45 0.330.31 -0.08 0.40 0.38 0.29 0.250.44 0.44 0.44 0.47 0.43 0.400.59 0.59 0.48 0.49 0.66 0.590.72 0.05 0.26 0.16 0.34 0.73

Kamp-Zwettl catchment - Sacramento

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 621.8 km2

increase in air temperature (i.e. mean air temp in 1976-86 is approximately 6.0C, in the period 1998-2008 it is 7.3°C), plus dramatic floods in August 2002.

Page 40: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0

600

1200

-0.02 0.03 -0.03 -0.09 -0.01 0.04-0.08 -0.03 -0.09 -0.16 -0.08 -0.02-0.02 0.05 -0.04 -0.08 -0.02 0.060.07 0.14 0.06 -0.01 0.10 0.15

-0.06 0.00 -0.06 -0.13 -0.05 0.00-0.03 0.01 -0.03 -0.08 -0.01 0.01

0.53 0.22 0.53 0.49 -0.09 0.330.38 -0.24 0.61 0.07 -1.51 0.000.59 0.39 0.60 0.58 -0.21 0.430.49 0.27 0.43 0.56 0.21 0.360.56 0.34 0.51 0.57 0.35 0.400.62 0.35 0.49 0.65 0.70 0.45

0.65 0.60 0.63 0.59 0.63 0.630.47 0.52 0.46 0.45 0.43 0.460.42 0.37 0.45 0.38 0.37 0.360.41 0.36 0.42 0.44 0.36 0.330.62 0.52 0.60 0.49 0.67 0.580.72 0.68 0.70 0.67 0.70 0.73

Kamp-Zwettl catchment - Simhyd

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 621.8 km2

increase in air temperature (i.e. mean air temp in 1976-86 is approximately 6.0C, in the period 1998-2008 it is 7.3°C), plus dramatic floods in August 2002.

0

400

800

Page 41: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0

600

1200

-0.03 0.02 -0.03 -0.08 -0.02 -0.05-0.10 -0.05 -0.12 -0.15 -0.17 -0.12-0.05 0.00 -0.04 -0.10 -0.02 -0.060.06 0.12 0.06 0.00 0.11 0.04

-0.07 -0.02 -0.07 -0.12 -0.05 -0.090.00 0.03 0.00 -0.05 0.02 -0.02

-0.32 0.28 0.42 -0.64 -9.48 -2.97-1.46 -0.23 0.21 -1.84 -40.82 -7.02-1.37 0.19 0.51 -1.86 -6.47 -6.210.38 0.47 0.41 0.24 -0.27 -0.42

-0.18 0.42 0.47 -0.78 -1.10 -1.730.60 0.49 0.48 0.38 0.21 -0.44

0.60 0.52 0.52 0.40 0.57 0.590.44 0.45 0.43 0.44 0.31 0.390.42 0.38 0.46 0.40 0.33 0.370.42 0.39 0.43 0.46 0.34 0.390.56 0.50 0.48 0.47 0.58 0.550.67 0.56 0.54 0.36 0.65 0.67

Kamp-Zwettl catchment - SMARG

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 621.8 km2

increase in air temperature (i.e. mean air temp in 1976-86 is approximately 6.0C, in the period 1998-2008 it is 7.3°C), plus dramatic floods in August 2002.

0

400

800

Page 42: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0

500

1000

1984 1988 1992 1996 2000 2004 20080

300

600

0.64 0.59 0.62 0.61 0.61 0.620.45 0.50 0.45 0.40 0.35 0.440.81 0.77 0.83 0.80 0.74 0.750.67 0.63 0.68 0.71 0.64 0.620.71 0.61 0.67 0.63 0.72 0.710.52 0.47 0.49 0.47 0.52 0.55

0.02 -0.09 -0.06 -0.05 0.12 0.080.17 0.04 0.06 0.11 0.27 0.210.10 -0.02 0.02 0.01 0.22 0.220.08 -0.04 -0.01 0.01 0.19 0.16

-0.09 -0.18 -0.18 -0.17 -0.02 -0.05-0.03 -0.14 -0.11 -0.09 0.06 0.02

0.17 0.05 0.27 0.35 0.30 0.100.31 0.10 0.35 0.39 0.19 0.160.05 -0.05 0.16 0.22 0.23 0.010.06 -0.06 0.15 0.27 0.15 -0.030.45 0.22 0.59 0.68 0.59 0.360.38 0.15 0.44 0.58 0.63 0.24

Lissbro catchment - AWBM

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 97 km2

In January 2005, a severe storm (called Gudrun) in southern Sweden, lead to considerable loss of forest/deforestation in some basins including this one. There was a lot of speculation on the increased risk for flooding in the area following this change.

Page 43: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0

500

1000

0.68 0.63 0.67 0.68 0.65 0.680.47 0.52 0.48 0.47 0.35 0.440.88 0.82 0.88 0.88 0.81 0.860.73 0.68 0.72 0.73 0.71 0.730.73 0.64 0.69 0.71 0.75 0.740.58 0.51 0.56 0.57 0.57 0.58

0.01 -0.13 -0.07 -0.02 0.14 0.060.17 0.01 0.07 0.13 0.32 0.230.10 -0.08 0.02 0.07 0.25 0.150.07 -0.09 -0.02 0.03 0.20 0.12

-0.10 -0.22 -0.18 -0.13 0.01 -0.05-0.05 -0.18 -0.12 -0.07 0.07 0.00

0.28 0.28 0.35 0.30 0.22 0.230.41 0.41 0.55 0.47 0.32 0.320.18 0.18 0.24 0.20 0.13 0.140.15 0.15 0.23 0.18 0.10 0.100.51 0.53 0.62 0.55 0.44 0.450.51 0.51 0.58 0.54 0.45 0.46

Lissbro catchment – GR4J

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 97 km2

In January 2005, a severe storm (called Gudrun) in southern Sweden, lead to considerable loss of forest/deforestation in some basins including this one. There was a lot of speculation on the increased risk for flooding in the area following this change.

1984 1988 1992 1996 2000 2004 20080

300

600

Page 44: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0

500

1000

0.63 0.58 0.61 0.62 0.61 0.620.49 0.55 0.48 0.52 0.40 0.460.76 0.74 0.79 0.78 0.68 0.720.68 0.67 0.68 0.69 0.64 0.660.70 0.60 0.65 0.66 0.72 0.690.53 0.44 0.48 0.49 0.52 0.54

-0.01 -0.11 -0.07 -0.10 0.10 0.060.10 -0.01 0.03 -0.01 0.21 0.190.08 -0.02 -0.01 -0.03 0.21 0.150.09 -0.01 0.03 0.00 0.20 0.15

-0.10 -0.19 -0.14 -0.18 -0.01 -0.04-0.08 -0.20 -0.13 -0.17 0.02 -0.01

0.21 0.42 -2.41 -0.47 0.38 0.380.25 0.40 -4.81 0.22 0.27 0.230.54 0.48 -1.09 0.13 0.45 0.460.64 0.52 -1.18 0.32 0.41 0.37

-3.63 -0.78 -14.36 -7.42 -0.64 -0.440.56 0.62 -4.64 -1.00 0.71 0.66

Lissbro catchment - IHACRES

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 97 km2

In January 2005, a severe storm (called Gudrun) in southern Sweden, lead to considerable loss of forest/deforestation in some basins including this one. There was a lot of speculation on the increased risk for flooding in the area following this change.

1984 1988 1992 1996 2000 2004 20080

300

600

Page 45: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0

500

1000

0.67 0.64 0.67 0.66 0.67 0.620.48 0.54 0.46 0.45 0.43 0.440.84 0.79 0.89 0.87 0.83 0.840.71 0.67 0.73 0.74 0.69 0.700.74 0.70 0.72 0.70 0.77 0.740.56 0.51 0.54 0.52 0.58 0.58

-0.02 -0.12 -0.06 -0.05 0.06 0.060.13 0.00 0.09 0.10 0.21 0.210.06 -0.08 0.02 0.01 0.18 0.180.03 -0.08 -0.02 -0.01 0.12 0.12

-0.14 -0.20 -0.17 -0.17 -0.08 -0.08-0.07 -0.17 -0.11 -0.10 0.00 0.00

0.36 0.26 0.29 0.21 0.13 0.140.51 0.43 0.38 0.41 0.31 0.310.21 0.11 0.17 0.07 0.01 0.020.28 0.18 0.23 0.12 0.04 0.040.74 0.58 0.55 0.51 0.39 0.420.54 0.41 0.36 0.37 0.29 0.28

Lissbro catchment - Sacramento

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 97 km2

In January 2005, a severe storm (called Gudrun) in southern Sweden, lead to considerable loss of forest/deforestation in some basins including this one. There was a lot of speculation on the increased risk for flooding in the area following this change.

1984 1988 1992 1996 2000 2004 20080

300

600

Page 46: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0

500

1000

0.70 0.68 0.70 0.66 0.67 0.700.54 0.57 0.54 0.48 0.46 0.510.85 0.84 0.86 0.83 0.78 0.830.74 0.73 0.75 0.76 0.69 0.720.77 0.70 0.74 0.70 0.78 0.780.61 0.57 0.59 0.53 0.59 0.61

-0.02 -0.10 -0.06 -0.08 0.08 0.010.09 0.02 0.06 0.04 0.21 0.130.07 -0.05 0.02 -0.01 0.21 0.120.05 -0.04 0.01 -0.01 0.16 0.09

-0.13 -0.19 -0.15 -0.18 -0.04 -0.10-0.07 -0.16 -0.11 -0.13 0.03 -0.04

-0.13 -0.14 0.08 -0.27 0.18 -0.06-0.07 -0.15 0.15 -0.37 0.30 0.010.24 -0.06 0.34 0.08 0.29 0.300.52 0.39 0.60 0.44 0.54 0.56

-4.05 -3.13 -3.15 -4.67 -2.05 -3.67-1.17 -0.64 -0.52 -1.26 0.17 -1.17

Lissbro catchment - Simhyd

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 97 km2

In January 2005, a severe storm (called Gudrun) in southern Sweden, lead to considerable loss of forest/deforestation in some basins including this one. There was a lot of speculation on the increased risk for flooding in the area following this change.

1984 1988 1992 1996 2000 2004 20080

300

600

Page 47: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

0

500

1000

0.71 0.67 0.69 0.68 0.68 0.700.55 0.59 0.51 0.47 0.45 0.540.86 0.83 0.88 0.87 0.78 0.830.74 0.70 0.75 0.76 0.66 0.690.75 0.68 0.72 0.71 0.79 0.780.60 0.55 0.57 0.55 0.60 0.63

-0.02 -0.13 -0.04 -0.06 0.10 0.030.07 0.01 0.10 0.09 0.24 0.170.06 -0.09 0.03 0.01 0.21 0.130.05 -0.07 0.02 0.00 0.17 0.10

-0.11 -0.21 -0.15 -0.17 -0.04 -0.09-0.07 -0.19 -0.09 -0.10 0.03 -0.03

-0.03 0.23 0.28 0.04 0.38 0.31-11.29 0.18 0.34 -1.46 0.19 0.40

0.39 0.19 0.16 0.48 0.31 0.170.25 0.11 0.21 0.35 0.33 0.230.10 0.17 0.73 -2.21 0.67 0.72

-0.01 0.47 0.33 -0.78 0.19 0.46

Lissbro catchment - SMARG

Completep1p2p3p4p5

Completep1p2p3p4p5

Completep1p2p3p4p5

Complete

p1 p2 p3 p4 p5

NSE

Bias

NSE

iQ

Catchment area = 97 km2

In January 2005, a severe storm (called Gudrun) in southern Sweden, lead to considerable loss of forest/deforestation in some basins including this one. There was a lot of speculation on the increased risk for flooding in the area following this change.

1984 1988 1992 1996 2000 2004 20080

300

600

Page 48: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Summary• Which catchments are easier to model and which are hard

• Ferson (USA), Kamp-zwettl (Austria), Axe Creek (Aus), Lissbro (Sweden)

• What can be the reason and what’s the way to overcome this

• Durance (France)• Flinders (Aus)• Gilbert (Aus)

Page 49: Modelling experiments with conceptual rainfall-runoff models under non-stationary conditions

Thankyou Jai VazePrincipal Research ScientistCSIRO Land and Watert +61 2 6246 5871E [email protected] http://www.csiro.au/people/Jai.Vaze.html

CSIRO LAND AND WATER

A water information R & D alliance between the Bureau of Meteorology and CSIRO’s Water for a Healthy Country Flagship