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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
Data consistency in rating curve data
Objective method?
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
𝑄 ≅ 𝑐(ℎ − ℎ0)𝑛
1. Model selection (rating curve)
steady state conditions uniform flow constant roughness simplified cross section
If
2. Sampling of the parameter space
𝑸 ≅ 𝒄(𝒉 − 𝒉𝟎)𝒏
Pappenberger et al., 2006
3. Assessment of a quality measure
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
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
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
• Model structural uncertainty • Data outliers
10% data points
allowed with
quality=0
4. Assignment of tolerance degrees
6. Identification of consistent data periods
-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?
Validation: synthetic data
Validation: observational uncertainty
Pappenberger et al., 2006
Validation: observ. Uncertainty (4x σ)
Validation: model deficiency
BReach: conclusions
Robust methodology • Validated • Little dependency of subjective choices • Flexibility
Possible applications: • Temporal variability • Dependency of a variable • NO assessment of parameter values
(near) future
BReach(t) – BReach(h): • Variety of Q stations (Flanders, UK, Sweden)
Other models: • Hydrological • Hydraulic
Questions
Are there any questions/remarks?
Locations for BReach analysis in Belgium?
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