When best is the enemy of good – critical evaluation of performance criteria in hydrological models

<p>Performance criteria play a key role in the calibration and evaluation of hydrological models and have been extensively developed and studied, but some of the most used criteria still have unknown pitfalls. This study set out to examine counterbalancing errors, which are inherent to the Kli...

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Main Authors: G. Cinkus, N. Mazzilli, H. Jourde, A. Wunsch, T. Liesch, N. Ravbar, Z. Chen, N. Goldscheider
Format: Article
Language:English
Published: Copernicus Publications 2023-07-01
Series:Hydrology and Earth System Sciences
Online Access:https://hess.copernicus.org/articles/27/2397/2023/hess-27-2397-2023.pdf
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author G. Cinkus
N. Mazzilli
H. Jourde
A. Wunsch
T. Liesch
N. Ravbar
Z. Chen
N. Goldscheider
author_facet G. Cinkus
N. Mazzilli
H. Jourde
A. Wunsch
T. Liesch
N. Ravbar
Z. Chen
N. Goldscheider
author_sort G. Cinkus
collection DOAJ
description <p>Performance criteria play a key role in the calibration and evaluation of hydrological models and have been extensively developed and studied, but some of the most used criteria still have unknown pitfalls. This study set out to examine counterbalancing errors, which are inherent to the Kling–Gupta efficiency (KGE) and its variants. A total of nine performance criteria – including the KGE and its variants, as well as the Nash–Sutcliffe efficiency (NSE) and the modified index of agreement (<span class="inline-formula"><i>d</i><sub>1</sub></span>) – were analysed using synthetic time series and a real case study. Results showed that, when assessing a simulation, the score of the KGE and some of its variants can be increased by concurrent overestimation and underestimation of discharge. These counterbalancing errors may favour bias and variability parameters, therefore preserving an overall high score of the performance criteria. As bias and variability parameters generally account for two-thirds of the weight in the equation of performance criteria such as the KGE, this can lead to an overall higher criterion score without being associated with an increase in model relevance. We recommend using (i) performance criteria that are not or less prone to counterbalancing errors (<span class="inline-formula"><i>d</i><sub>1</sub></span>, modified KGE, non-parametric KGE, diagnostic efficiency) and/or (ii) scaling factors in the equation to reduce the influence of relative parameters.</p>
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spelling doaj.art-676d9bc11fe146b19c1b92d228705eeb2023-07-03T07:58:18ZengCopernicus PublicationsHydrology and Earth System Sciences1027-56061607-79382023-07-01272397241110.5194/hess-27-2397-2023When best is the enemy of good – critical evaluation of performance criteria in hydrological modelsG. Cinkus0N. Mazzilli1H. Jourde2A. Wunsch3T. Liesch4N. Ravbar5Z. Chen6N. Goldscheider7HydroSciences Montpellier (HSM), CNRS, IRD, Univ. Montpellier, 34090 Montpellier, FranceUMR 1114 EMMAH (AU-INRAE), Université d'Avignon, 84000 Avignon, FranceHydroSciences Montpellier (HSM), CNRS, IRD, Univ. Montpellier, 34090 Montpellier, FranceInstitute of Applied Geosciences, Karlsruhe Institute of Technology (KIT), Kaiserstr. 12, 76131 Karlsruhe, GermanyInstitute of Applied Geosciences, Karlsruhe Institute of Technology (KIT), Kaiserstr. 12, 76131 Karlsruhe, GermanyKarst Research Institute, ZRC SAZU, Titov trg 2, 6230 Postojna, SloveniaInstitute of Groundwater Management, Technical University of Dresden, 01062 Dresden, GermanyInstitute of Applied Geosciences, Karlsruhe Institute of Technology (KIT), Kaiserstr. 12, 76131 Karlsruhe, Germany<p>Performance criteria play a key role in the calibration and evaluation of hydrological models and have been extensively developed and studied, but some of the most used criteria still have unknown pitfalls. This study set out to examine counterbalancing errors, which are inherent to the Kling–Gupta efficiency (KGE) and its variants. A total of nine performance criteria – including the KGE and its variants, as well as the Nash–Sutcliffe efficiency (NSE) and the modified index of agreement (<span class="inline-formula"><i>d</i><sub>1</sub></span>) – were analysed using synthetic time series and a real case study. Results showed that, when assessing a simulation, the score of the KGE and some of its variants can be increased by concurrent overestimation and underestimation of discharge. These counterbalancing errors may favour bias and variability parameters, therefore preserving an overall high score of the performance criteria. As bias and variability parameters generally account for two-thirds of the weight in the equation of performance criteria such as the KGE, this can lead to an overall higher criterion score without being associated with an increase in model relevance. We recommend using (i) performance criteria that are not or less prone to counterbalancing errors (<span class="inline-formula"><i>d</i><sub>1</sub></span>, modified KGE, non-parametric KGE, diagnostic efficiency) and/or (ii) scaling factors in the equation to reduce the influence of relative parameters.</p>https://hess.copernicus.org/articles/27/2397/2023/hess-27-2397-2023.pdf
spellingShingle G. Cinkus
N. Mazzilli
H. Jourde
A. Wunsch
T. Liesch
N. Ravbar
Z. Chen
N. Goldscheider
When best is the enemy of good – critical evaluation of performance criteria in hydrological models
Hydrology and Earth System Sciences
title When best is the enemy of good – critical evaluation of performance criteria in hydrological models
title_full When best is the enemy of good – critical evaluation of performance criteria in hydrological models
title_fullStr When best is the enemy of good – critical evaluation of performance criteria in hydrological models
title_full_unstemmed When best is the enemy of good – critical evaluation of performance criteria in hydrological models
title_short When best is the enemy of good – critical evaluation of performance criteria in hydrological models
title_sort when best is the enemy of good critical evaluation of performance criteria in hydrological models
url https://hess.copernicus.org/articles/27/2397/2023/hess-27-2397-2023.pdf
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