Figure 8 and Table 4 summarise the regional model calibration results for the nine streamflow gauging stations. The bottom, middle and top of each box in Figure 8 represent the 25th, 50th and 75th percentiles, and the bottom and top whiskers represent the 10th and 90th percentiles. For both high-streamflow and low-streamflow calibrations, three metrics (F value, daily efficiency and model bias) are shown and their details are introduced in the Figure 8 notes. Details of each streamflow gauge metric are given in Table 4.
The high-streamflow calibration (F1) yields an overall reasonable Nash–Sutcliffe efficiency of daily streamflow (E_{d}(1.0)) and low model bias, indicated by a median E_{d}(1.0) of 0.64 and a median bias of 0.01. This is despite a poor calibration performance at streamflow gauge 203030 (0.08). The values of F1 are also encouraging (with a median of 0.74), with the exception of streamflow gauge 204043, and to a lesser extent streamflow gauge 203030. The reason for the poorer model performance at these two streamflow gauges is not known.
The low-streamflow calibration (F2) is evaluated against the daily streamflow data transformed with a power of 0.1, or a Box‑Cox lambda value of 0.1 (Box and Cox, 1964), which can make sure the model evaluation is putting more weight on low streamflow than higher streamflow. The low-streamflow calibration yields overall good efficiency with the Box‑Cox lambda value of 0.1 (E_{d}(0.1)), indicated by a median E_{d}(0.1) of 0.69. Note that streamflow gauge 203030 has a higher E_{d}(1.0) of 0.59 for the low-streamflow calibration indicating a better calibration using this objective function. The values of F2 are also encouraging (with a median of 0.71), with the exception of streamflow gauge 204043, and to a lesser extent streamflow gauge 203030.
AWRA-L = Australian Water Resources Assessment landscape model
Left: high-streamflow calibration; right: low-streamflow calibration. In each boxplot, the bottom, middle and top of the box are the 25th, 50th and 75th percentiles, and the bottom and top whiskers are the 10th and 90th percentiles. F1 is the F value for high-streamflow calibration; F2 is the F value for the low-streamflow calibration; Ed(0.1) is the daily efficiency with a Box‑Cox lambda value of 1.0; Ed(0.1) is the daily efficiency with a Box‑Cox lambda value of 0.1; B is model bias.
Data: Bureau of Meteorology (Dataset 1, Dataset 2) and Bioregional Assessment Programme (Dataset 4)
Table 4 Summary of model calibration for nine calibration streamflow gauging stations in the Clarence-Moreton bioregion (1 January 1983 to 31 December 2013)
Streamflow gauge ID |
Modelled mean annual streamflow (mm/y) |
F1^{a} |
E_{d}(1.0)^{a} |
Bias (F1)^{a} |
F2^{b} |
E_{d}(0.1)^{b} |
Bias (F2)^{b} |
---|---|---|---|---|---|---|---|
201005 |
691 |
0.68 |
0.64 |
–0.16 |
0.71 |
0.76 |
–0.17 |
203002 |
905 |
0.74 |
0.71 |
–0.15 |
0.77 |
0.84 |
–0.17 |
203005 |
303 |
0.85 |
0.78 |
0.01 |
0.83 |
0.76 |
–0.03 |
203010 |
455 |
0.78 |
0.64 |
–0.04 |
0.80 |
0.69 |
–0.06 |
203014 |
822 |
0.80 |
0.72 |
0.07 |
0.86 |
0.83 |
0.03 |
203030 |
201 |
0.12 |
0.08 |
0.37 |
0.44 |
0.59 |
0.33 |
203041 |
205 |
0.68 |
0.56 |
0.16 |
0.66 |
0.49 |
0.14 |
204043 |
238 |
–0.96 |
0.30 |
0.76 |
–0.86 |
0.39 |
0.74 |
204067 |
218 |
0.74 |
0.71 |
–0.16 |
0.64 |
0.56 |
–0.18 |
Median |
303 |
0.74 |
0.64 |
0.01 |
0.71 |
0.69 |
–0.03 |
^{a} is the F value for high-streamflow calibration, where E_{d}(1.0) is the daily efficiency with a Box-Cox lambda value of 1.0, E_{m} is the monthly efficiency and B is the bias.
^{b}is the F value for low-streamflow calibration, where E_{d}(0.1) is the daily Nash–Sutcliffe efficiency (NSE) with a Box-Cox lambda value of 0.1.
Data: Bureau of Meteorology (Dataset 1, Dataset 2) and Bioregional Assessment Programme (Dataset 4)
The calibration results show that the model can be calibrated against both high-flow and low-flow objective functions with reasonable results, as evidenced by both the median F values and median model efficiencies of around 0.6 to 0.7, and with median bias at low levels. An F value of unity would indicate a perfect fit, with F values approaching minus infinity reflecting poorer and poorer fits.
Product Finalisation date
- 2.6.1.1 Methods
- 2.6.1.2 Review of existing models
- 2.6.1.3 Model development
- 2.6.1.4 Calibration
- 2.6.1.5 Uncertainty
- 2.6.1.6 Prediction
- 2.6.1.6.1 Annual flow (AF)
- 2.6.1.6.2 Interquartile range (IQR)
- 2.6.1.6.3 Daily streamflow at the 99th percentile (P99)
- 2.6.1.6.4 Flood (high-flow) days (FD)
- 2.6.1.6.5 Daily streamflow at the 1st percentile (P01)
- 2.6.1.6.6 Low-flow days (LFD)
- 2.6.1.6.7 Low-flow spells (LFS)
- 2.6.1.6.8 Longest low-flow spell (LLFS)
- 2.6.1.6.9 Zero-flow days (ZFD)
- 2.6.1.6.10 Summary and conclusions
- References
- Datasets
- Citation
- Contributors to the Technical Programme
- Acknowledgements
- About this technical product