Linear correlation coefficient (r) |
|
-1, 1, 1 |
- |
Wohling et al. (2013)Wohling, T., Samaniego, L., & Kumar, R. (2013). Evaluating multiple performance criteria to calibrate the distributed hydrological model of the upper Neckar catchment. Environmental Earth Sciences, 69(2), 453-468. http://dx.doi.org/10.1007/s12665-013-2306-2. http://dx.doi.org/10.1007/s12665-013-230...
|
Coefficient of determination (r2) |
|
0, 1, 1 |
- |
Romanowicz et al.(2013)Romanowicz, R. J., Osuch, M., & Grabowiecka, M. (2013). On the choice of calibration periods and objective functions: a practical guide to model parameter identification. Acta Geophysica, 61(6), 1477-1503. http://dx.doi.org/10.2478/s11600-013-0157-6. http://dx.doi.org/10.2478/s11600-013-015...
|
Nash-Sutcliffe efficiency (NSE) |
|
-∞, 1, 1 |
- |
Wohling et al. (2013)Wohling, T., Samaniego, L., & Kumar, R. (2013). Evaluating multiple performance criteria to calibrate the distributed hydrological model of the upper Neckar catchment. Environmental Earth Sciences, 69(2), 453-468. http://dx.doi.org/10.1007/s12665-013-2306-2. http://dx.doi.org/10.1007/s12665-013-230...
|
NSE on log transformed daily flows (LNS) |
|
-∞, 1, 1 |
- |
Romanowicz et al. (2013)Romanowicz, R. J., Osuch, M., & Grabowiecka, M. (2013). On the choice of calibration periods and objective functions: a practical guide to model parameter identification. Acta Geophysica, 61(6), 1477-1503. http://dx.doi.org/10.2478/s11600-013-0157-6. http://dx.doi.org/10.2478/s11600-013-015...
|
Modified forms of NSE (MNS) |
|
-∞, 1, 1 |
- |
Muleta (2012)Muleta, M. K. (2012). Model performance sensitivity to objective function during automated calibrations. Journal of Hydrologic Engineering, 17(6), 756-767. http://dx.doi.org/10.1061/(ASCE)HE.1943-5584.0000497. http://dx.doi.org/10.1061/(ASCE)HE.1943-...
|
NSE with calendar day mean (NSD) |
|
-∞, 1, 1 |
- |
Muleta (2012)Muleta, M. K. (2012). Model performance sensitivity to objective function during automated calibrations. Journal of Hydrologic Engineering, 17(6), 756-767. http://dx.doi.org/10.1061/(ASCE)HE.1943-5584.0000497. http://dx.doi.org/10.1061/(ASCE)HE.1943-...
|
NSE with calendar day mean calculated on log transformed daily flows (LNSD) |
|
-∞, 1, 1 |
- |
Muleta (2012)Muleta, M. K. (2012). Model performance sensitivity to objective function during automated calibrations. Journal of Hydrologic Engineering, 17(6), 756-767. http://dx.doi.org/10.1061/(ASCE)HE.1943-5584.0000497. http://dx.doi.org/10.1061/(ASCE)HE.1943-...
|
Modified form of NSE with calendar day mean (MNSD) |
|
-∞, 1, 1 |
- |
Muleta (2012)Muleta, M. K. (2012). Model performance sensitivity to objective function during automated calibrations. Journal of Hydrologic Engineering, 17(6), 756-767. http://dx.doi.org/10.1061/(ASCE)HE.1943-5584.0000497. http://dx.doi.org/10.1061/(ASCE)HE.1943-...
|
NSE with calendar monthly mean as reference model (NSM) |
|
-∞, 1, 1 |
- |
Schaefli And Gupta (2007) |
Persistence Index (PI) |
|
-∞, 1, 1 |
- |
Gupta et al. (1999)Gupta, H. V., Sorooshian, S., & Yapo, P. O. (1999). Status of automatic calibration for hydrologic models: comparison with multilevel expert calibration. Journal of Hydrologic Engineering, 4(2), 135-143. http://dx.doi.org/10.1061/(ASCE)1084-0699(1999)4:2(135). http://dx.doi.org/10.1061/(ASCE)1084-069...
|
High flow (HF) |
|
-∞, 1, 1 |
- |
Rwetabula et al. (2012)Rwetabula, J., De Smedt, F., & Rebhun, M. (2012). Simulation of hydrological processes in the Simiyu River, tributary of Lake Victoria, Tanzania. Water AS, 38(4), 623-632. http://dx.doi.org/10.4314/wsa.v38i4.18. http://dx.doi.org/10.4314/wsa.v38i4.18...
|
Index of agreement (D) |
|
0, 1, 1 |
- |
Muleta (2012)Muleta, M. K. (2012). Model performance sensitivity to objective function during automated calibrations. Journal of Hydrologic Engineering, 17(6), 756-767. http://dx.doi.org/10.1061/(ASCE)HE.1943-5584.0000497. http://dx.doi.org/10.1061/(ASCE)HE.1943-...
|
Relative variability (α) |
|
0, ∞, 1 |
- |
Wohling et al. (2013)Wohling, T., Samaniego, L., & Kumar, R. (2013). Evaluating multiple performance criteria to calibrate the distributed hydrological model of the upper Neckar catchment. Environmental Earth Sciences, 69(2), 453-468. http://dx.doi.org/10.1007/s12665-013-2306-2. http://dx.doi.org/10.1007/s12665-013-230...
|
Normalised bias of flows (β) |
|
-∞, 1, 0 |
- |
Wohling et al. (2013)Wohling, T., Samaniego, L., & Kumar, R. (2013). Evaluating multiple performance criteria to calibrate the distributed hydrological model of the upper Neckar catchment. Environmental Earth Sciences, 69(2), 453-468. http://dx.doi.org/10.1007/s12665-013-2306-2. http://dx.doi.org/10.1007/s12665-013-230...
|
Kling-Gupta efficiency (KGE) |
|
-∞, 1, 1 |
- |
Wohling et al. (2013)Wohling, T., Samaniego, L., & Kumar, R. (2013). Evaluating multiple performance criteria to calibrate the distributed hydrological model of the upper Neckar catchment. Environmental Earth Sciences, 69(2), 453-468. http://dx.doi.org/10.1007/s12665-013-2306-2. http://dx.doi.org/10.1007/s12665-013-230...
|
Mean error (ME) |
|
-∞, ∞, 0 |
m3/s |
Wohling et al. (2013)Wohling, T., Samaniego, L., & Kumar, R. (2013). Evaluating multiple performance criteria to calibrate the distributed hydrological model of the upper Neckar catchment. Environmental Earth Sciences, 69(2), 453-468. http://dx.doi.org/10.1007/s12665-013-2306-2. http://dx.doi.org/10.1007/s12665-013-230...
|
Mean absolute error (MAE) |
|
0, ∞, 0 |
m3/s |
Legates & McCabe Junior (1999)Legates, D. R., & McCabe Junior, G. J. (1999). Evaluating the use of “goodness-of-fit” measures in hydrologicv and hydroclimatic model validation. Water Resources Research, 35(1), 233-241. http://dx.doi.org/10.1029/1998WR900018. http://dx.doi.org/10.1029/1998WR900018...
|
Mean absolute relative error (MARE) |
|
0, ∞, 0 |
- |
Rientjes et al. (2013)Rientjes, T. H. M., Muthuwatta, L. P., Bos, M. G., Booij, M. J., & Bhatti, H. A. (2013). Multi-variable calibration of a semi-distributed hydrological model using streamflow data and satellite-based evapotranspiration. Journal of Hydrology (Amsterdam), 505, 276-290. http://dx.doi.org/10.1016/j.jhydrol.2013.10.006. http://dx.doi.org/10.1016/j.jhydrol.2013...
|
Mean square error (MSE) |
|
0, ∞, 0 |
(m3/s)2
|
Legates & McCabe Junior (1999)Legates, D. R., & McCabe Junior, G. J. (1999). Evaluating the use of “goodness-of-fit” measures in hydrologicv and hydroclimatic model validation. Water Resources Research, 35(1), 233-241. http://dx.doi.org/10.1029/1998WR900018. http://dx.doi.org/10.1029/1998WR900018...
|
Root mean square error (RMSE) |
|
0, ∞, 0 |
m3/s |
Romanowicz et al. (2013)Romanowicz, R. J., Osuch, M., & Grabowiecka, M. (2013). On the choice of calibration periods and objective functions: a practical guide to model parameter identification. Acta Geophysica, 61(6), 1477-1503. http://dx.doi.org/10.2478/s11600-013-0157-6. http://dx.doi.org/10.2478/s11600-013-015...
|
Transformed root mean square error (TRMSE) |
|
0, ∞, 0 |
m3/s |
Kollat et al. (2012)Kollat, J. B., Reed, P. M., & Wagener, T. (2012). When are multiobjective calibration trade-offs in hydrologic models meaningful? Water Resources Research, 48(3), 1-19. http://dx.doi.org/10.1029/2011WR011534. http://dx.doi.org/10.1029/2011WR011534...
|
Ratio of RMSE to standard deviation of observations (RSR) |
|
0, ∞, 0 |
- |
Muleta (2012)Muleta, M. K. (2012). Model performance sensitivity to objective function during automated calibrations. Journal of Hydrologic Engineering, 17(6), 756-767. http://dx.doi.org/10.1061/(ASCE)HE.1943-5584.0000497. http://dx.doi.org/10.1061/(ASCE)HE.1943-...
|
Modification of RMSE to high flow errors (NHF) |
|
0, ∞, 0 |
m3/s |
Fenícia et al. (2007)Fenícia, F., Solomatine, D. P., Savenije, H. H. G., & Matgen, P. (2007). Soft combination of local models in a multi-objective framework. Hydrology and Earth System Sciences, 11(6), 1797-1809. http://dx.doi.org/10.5194/hess-11-1797-2007. http://dx.doi.org/10.5194/hess-11-1797-2...
|
Modification of RMSE to low flow errors (NLF) |
|
0, ∞, 0 |
m3/s |
Fenícia et al. (2007)Fenícia, F., Solomatine, D. P., Savenije, H. H. G., & Matgen, P. (2007). Soft combination of local models in a multi-objective framework. Hydrology and Earth System Sciences, 11(6), 1797-1809. http://dx.doi.org/10.5194/hess-11-1797-2007. http://dx.doi.org/10.5194/hess-11-1797-2...
|
Sum of squared erros of the streamflows logarithmic (SLOGQ) |
|
0, ∞, 0 |
(m3/s)2
|
Hogue et al. (2000)Hogue, T. S., Sorooshian, S., Gupta, H., Holz, A., & Braatz, D. (2000). A multistep automatic calibration scheme for river forecasting models. Journal of Hydrometeorology, 1(6), 524-542. http://dx.doi.org/10.1175/1525-7541(2000)001<0524:AMACSF>2.0.CO;2. http://dx.doi.org/10.1175/1525-7541(2000...
|
Sum squared errors of daily streamflows (SSEQ) |
|
0, ∞, 0 |
(m3/s)2
|
Wohling et al. (2013)Wohling, T., Samaniego, L., & Kumar, R. (2013). Evaluating multiple performance criteria to calibrate the distributed hydrological model of the upper Neckar catchment. Environmental Earth Sciences, 69(2), 453-468. http://dx.doi.org/10.1007/s12665-013-2306-2. http://dx.doi.org/10.1007/s12665-013-230...
|
Sum squared errors of monthly streamflows normalized by basin area (SSEMQ) |
|
0, ∞, 0 |
(m3/s)2/m2
|
Wohling et al. (2013)Wohling, T., Samaniego, L., & Kumar, R. (2013). Evaluating multiple performance criteria to calibrate the distributed hydrological model of the upper Neckar catchment. Environmental Earth Sciences, 69(2), 453-468. http://dx.doi.org/10.1007/s12665-013-2306-2. http://dx.doi.org/10.1007/s12665-013-230...
|
Maximal absolute error (MAXAE) |
|
0, ∞, 0 |
m3/s |
Wohling et al. (2013)Wohling, T., Samaniego, L., & Kumar, R. (2013). Evaluating multiple performance criteria to calibrate the distributed hydrological model of the upper Neckar catchment. Environmental Earth Sciences, 69(2), 453-468. http://dx.doi.org/10.1007/s12665-013-2306-2. http://dx.doi.org/10.1007/s12665-013-230...
|
Maximum difference in the largest peak flows (DHQMAX) |
|
- ∞, ∞, 0 |
m3/s |
Wohling et al. (2013)Wohling, T., Samaniego, L., & Kumar, R. (2013). Evaluating multiple performance criteria to calibrate the distributed hydrological model of the upper Neckar catchment. Environmental Earth Sciences, 69(2), 453-468. http://dx.doi.org/10.1007/s12665-013-2306-2. http://dx.doi.org/10.1007/s12665-013-230...
|
Relative volume error (ΔV) |
|
- ∞, ∞, 0 |
- |
Rientjes et al. (2013)Rientjes, T. H. M., Muthuwatta, L. P., Bos, M. G., Booij, M. J., & Bhatti, H. A. (2013). Multi-variable calibration of a semi-distributed hydrological model using streamflow data and satellite-based evapotranspiration. Journal of Hydrology (Amsterdam), 505, 276-290. http://dx.doi.org/10.1016/j.jhydrol.2013.10.006. http://dx.doi.org/10.1016/j.jhydrol.2013...
|
Volumetric efficiency (VE) |
|
-∞, 1, 1 |
- |
Criss & Winston (2008)Criss, R. E., & Winston, W. E. (2008). Do Nash values have value? Discussion and alternate proposals. Hydrological Processes, 22(14), 2723-2725. http://dx.doi.org/10.1002/hyp.7072. http://dx.doi.org/10.1002/hyp.7072...
|
Runnoff coefficient percent error (ROCE) |
|
0, ∞, 0 |
- |
Kollat et al. (2012)Kollat, J. B., Reed, P. M., & Wagener, T. (2012). When are multiobjective calibration trade-offs in hydrologic models meaningful? Water Resources Research, 48(3), 1-19. http://dx.doi.org/10.1029/2011WR011534. http://dx.doi.org/10.1029/2011WR011534...
|
Combined form of NSE and ∆V (Y) |
|
-∞, 1, 1 |
- |
Rientjes et al. (2013)Rientjes, T. H. M., Muthuwatta, L. P., Bos, M. G., Booij, M. J., & Bhatti, H. A. (2013). Multi-variable calibration of a semi-distributed hydrological model using streamflow data and satellite-based evapotranspiration. Journal of Hydrology (Amsterdam), 505, 276-290. http://dx.doi.org/10.1016/j.jhydrol.2013.10.006. http://dx.doi.org/10.1016/j.jhydrol.2013...
|
Combined form of NSE and MARE (RV) |
|
-∞, 1, 1 |
- |
Romanowicz et al. (2013)Romanowicz, R. J., Osuch, M., & Grabowiecka, M. (2013). On the choice of calibration periods and objective functions: a practical guide to model parameter identification. Acta Geophysica, 61(6), 1477-1503. http://dx.doi.org/10.2478/s11600-013-0157-6. http://dx.doi.org/10.2478/s11600-013-015...
|
Slope of the streamflow duration curve (SFDCE) |
|
0, ∞, 0 |
- |
Kollat et al. (2012)Kollat, J. B., Reed, P. M., & Wagener, T. (2012). When are multiobjective calibration trade-offs in hydrologic models meaningful? Water Resources Research, 48(3), 1-19. http://dx.doi.org/10.1029/2011WR011534. http://dx.doi.org/10.1029/2011WR011534...
|
Streamflow duration curve index (SDCI) |
|
0, ∞, 1 |
- |
Tucci (2005)Tucci, C. E. M. (2005). Modelos hidrológicos (2. ed., 678 p.). Porto Alegre: Editora da UFRGS ABRH GWP.
|