katrien van eerdenbrugh b reach a methodology for the assessment of data consistency
TRANSCRIPT
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BReach: a methodology for the assessment of data consistency (in rating curve data)
Katrien Van Eerdenbrugh Ghent University Laboratory of Hydrology and Water Management
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Data consistency in rating curve data
Objective method?
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BReach (Bidirectional Reach)
1. Model selection 2. Sampling of the parameter space 3. Assessment of a quality measure
4. Assignment of tolerance degrees 5. Assessment of bidirectional reach 6. Identification of consistent data periods
BReach
Validation
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𝑄 ≅ 𝑐(ℎ − ℎ0)𝑛
1. Model selection (rating curve)
steady state conditions uniform flow constant roughness simplified cross section
If
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2. Sampling of the parameter space
𝑸 ≅ 𝒄(𝒉 − 𝒉𝟎)𝒏
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Pappenberger et al., 2006
3. Assessment of a quality measure
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3. Assessment of a quality measure
40 41 42 43 … 97 98 99 100 101
1 0 0 0 0 … 0 0.67 0.67 1 0
2 0 0 0 1 … 0 0 0 0 0
3 0 0 0.5 1 … 1 1 1 1 1
… … … … … … … … … … …
1200000 0 0 0 1 … 0 0 0 0 0.17
1200001 1 1 0.83 1 … 1 1 1 1 1
1200002 0 0.83 1 1 … 1 1 1 1 1
Pappenberger et al., 2006 Sorted h-Q data points
Para
met
er s
ets
Para
met
er s
ets
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40 41 42 43 … 97 98 99 100 101
1 0 0 0 0 … 0 0.67 0.67 1 0
2 0 0 0 1 … 0 0 0 0 0
3 0 0 0.5 1 … 1 1 1 1 1
… … … … … … … … … … …
1200000 0 0 0 1 … 0 0 0 0 0.17
1200001 1 1 0.83 1 … 1 1 1 1 1
1200002 0 0.83 1 1 … 1 1 1 1 1
4. Assignment of tolerance degrees
Sorted h-Q data points
Para
met
er s
ets
10% data points
allowed with
quality=0
• Model structural uncertainty • Data outliers
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5. Assessment of bidirectional reach
40 41 42 43 … 97 98 99 100 101
1 0 0 0 0 … 0 0.67 0.67 1 0
2 0 0 0 1 … 0 0 0 0 0
3 0 0 0.5 1 … 1 1 1 1 1
… … … … … … … … … … …
1200000 0 0 0 1 … 0 0 0 0 0.17
1200001 1 1 0.83 1 … 1 1 1 1 1
1200002 0 0.83 1 1 … 1 1 1 1 1
40 41 42 43 … 97 98 99 100 101
1 0 0 0 0 … 0 0.67 0.67 1 0
2 0 0 0 1 … 0 0 0 0 0
3 0 0 0.5 1 … 1 1 1 1 1
… … … … … … … … … … …
1200000 0 0 0 1 … 0 0 0 0 0.17
1200001 1 1 0.83 1 … 1 1 1 1 1
1200002 0 0.83 1 1 … 1 1 1 1 1
40 41 42 43 … 97 98 99 100 101
1 0 0 0 0 … 0 0.67 0.67 1 0
2 0 0 0 1 … 0 0 0 0 0
3 0 0 0.5 1 … 1 1 1 1 1
… … … … … … … … … … …
1200000 0 0 0 1 … 0 0 0 0 0.17
1200001 1 1 0.83 1 … 1 1 1 1 1
1200002 0 0.83 1 1 … 1 1 1 1 1
Left reach
98
40 41 42 43 … 97 98 99 100 101
1 0 0 0 0 … 0 0.67 0.67 1 0
2 0 0 0 1 … 0 0 0 0 0
3 0 0 0.5 1 … 1 1 1 1 1
… … … … … … … … … … …
1200000 0 0 0 1 … 0 0 0 0 0.17
1200001 1 1 0.83 1 … 1 1 1 1 1
1200002 0 0.83 1 1 … 1 1 1 1 1
Left reach
98
-
40 41 42 43 … 97 98 99 100 101
1 0 0 0 0 … 0 0.67 0.67 1 0
2 0 0 0 1 … 0 0 0 0 0
3 0 0 0.5 1 … 1 1 1 1 1
… … … … … … … … … … …
1200000 0 0 0 1 … 0 0 0 0 0.17
1200001 1 1 0.83 1 … 1 1 1 1 1
1200002 0 0.83 1 1 … 1 1 1 1 1
Left reach
98
-
42
…
-
27
30
Sorted h-Q data points
Para
met
er s
ets
10% data points
allowed with
quality=0
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• Model structural uncertainty • Data outliers
10% data points
allowed with
quality=0
4. Assignment of tolerance degrees
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6. Identification of consistent data periods
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-1 m
-1 m +2 m
Validation: synthetic data
• Simulation with hydrodynamic model: 2 geometries • Selection of (random) transition date • Selection of Q/h results before and after transition • Add noise (observational uncertainty)
Capability to detect transition point?
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Validation: synthetic data
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Validation: observational uncertainty
Pappenberger et al., 2006
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Validation: observ. Uncertainty (4x σ)
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Validation: model deficiency
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BReach: conclusions
Robust methodology • Validated • Little dependency of subjective choices • Flexibility
Possible applications: • Temporal variability • Dependency of a variable • NO assessment of parameter values
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(near) future
BReach(t) – BReach(h): • Variety of Q stations (Flanders, UK, Sweden)
Other models: • Hydrological • Hydraulic
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Questions
Are there any questions/remarks?
Locations for BReach analysis in Belgium?