2019
DOI: 10.5194/hess-23-4323-2019
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Technical note: Inherent benchmark or not? Comparing Nash–Sutcliffe and Kling–Gupta efficiency scores

Abstract: Abstract. A traditional metric used in hydrology to summarize model performance is the Nash–Sutcliffe efficiency (NSE). Increasingly an alternative metric, the Kling–Gupta efficiency (KGE), is used instead. When NSE is used, NSE = 0 corresponds to using the mean flow as a benchmark predictor. The same reasoning is applied in various studies that use KGE as a metric: negative KGE values are viewed as bad model performance, and only positive values are seen as good model performance. Here we show that using the … Show more

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Cited by 834 publications
(515 citation statements)
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References 30 publications
(35 reference statements)
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“…KGE is based on a decomposition of NSE into its constitutive components (correlation, bias and variability) in the context of hydrological modelling [104]. While KGE = 1 indicates perfect correspondence between simulations and observations, it has been argued that KGE < 0 indicates that the mean of observations provides better estimates than simulations [106]. Therefore, any positive value of NSE and KGE suggests that the model has some predictive power and higher values indicate better model performance.…”
Section: Surface-subsurface Runoff Routingmentioning
confidence: 99%
“…KGE is based on a decomposition of NSE into its constitutive components (correlation, bias and variability) in the context of hydrological modelling [104]. While KGE = 1 indicates perfect correspondence between simulations and observations, it has been argued that KGE < 0 indicates that the mean of observations provides better estimates than simulations [106]. Therefore, any positive value of NSE and KGE suggests that the model has some predictive power and higher values indicate better model performance.…”
Section: Surface-subsurface Runoff Routingmentioning
confidence: 99%
“…Based on the literature, a streamflow simulation is considered satisfactory if NSE > 0.5, RSR ≤ 0.70, and PBIAS < ± 15%; a sediment simulation is considered satisfactory if NSE > 0.45, RSR ≤ 0.70, and PBIAS < ± 20%; and a nutrient simulation is considered satisfactory if NSE > 0.35, RSR ≤ 0.70, and PBIAS < ± 30%. Considering that the KGE metric is mathematically different from NSE and the threshold cannot be simply compared [56], we used this metric as an informative and multi-criterion diagnostic evaluation of the whole model.…”
Section: Model Calibration and Validationmentioning
confidence: 99%
“…Kling‐Gupta Efficiencies (KGE; Gupta, Kling, Yilmaz, & Martinez, ) using 5‐min (hourly) rainfall are 0.46 (0.54) for the site in Indiana (Figure a) and 0.66 (0.70) for the site in Kansas (Figure b). These are well above the KGE threshold of zero‐skill, which is approximately −0.41 (see Knoben, Freer, & Woods, ). The slight improvement of KGE using hourly rainfall should not be interpreted as evidence of superiority of the hourly rainfall (which is identical to the 5‐min rainfall in terms of total volume).…”
Section: Resultsmentioning
confidence: 84%