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Tier 4 — Narrative / commentaryPeer-reviewed

Technical note: Inherent benchmark or not? Comparing Nash–Sutcliffe and Kling–Gupta efficiency scores

Wouter Knoben, Jim Freer, Ross Woods

Hydrology and earth system sciences · 2019

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Summary

This technical note addresses a critical misinterpretation in hydrological modelling practice: researchers often apply NSE interpretation frameworks to KGE values, assuming both metrics have equivalent benchmark thresholds. The authors demonstrate that whilst NSE = 0 represents mean flow performance, KGE = 1−√2 ≈ −0.41 represents equivalent performance, meaning models with negative KGE values may still outperform the benchmark. The paper advocates for purpose-dependent evaluation frameworks with explicit benchmarks rather than ad hoc use of aggregated efficiency metrics.

UK applicability

This methodological guidance is relevant to UK-based hydrological and environmental modelling research, particularly in water resource management and flood forecasting studies where NSE and KGE are standard evaluation metrics. UK researchers adopting KGE metrics should recalibrate their interpretation protocols away from NSE-based conventions.

Key measures

Nash–Sutcliffe efficiency (NSE), Kling–Gupta efficiency (KGE), mean flow benchmark predictor, coefficient of variation

Outcomes reported

The study compared Nash–Sutcliffe efficiency (NSE) and Kling–Gupta efficiency (KGE) metrics used to evaluate hydrological model performance, demonstrating that these metrics have fundamentally different benchmark reference points and cannot be directly compared.

Theme
Measurement & metrics
Subject
Measurement methods & nutrient profiling
Study type
Commentary
Study design
Technical note / Methodological analysis
Source type
Peer-reviewed study
Status
Published
System type
Other
DOI
10.5194/hess-23-4323-2019
Catalogue ID
SNmokeh3a8-dt6aqz

Topic tags

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