Statistical Indicators

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Citra Rahma niar

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Jun 5, 2021, 8:46:12 AM6/5/21
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Good night, 
Can anyone explain the function of each of the following statistical indicators to the model: 
1. Percent bias (PBIAS), 
2. Kling-Gupta Efficiency (KGE), 
3. Coefficient of Determination (R2), 
4. Nash-Sutcliffe Efficiency (NSE), 
5. Root Mean Square Error (RMSE) Standard-deviation Ratio (RSR) 
Especially RSR, NSE, and KGE I still don't understand the function of each of these indicators, I hope friends here will help me
Thank you 
Regards

Citra from Indonesia

Willem Vervoort

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Jun 5, 2021, 10:57:18 PM6/5/21
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Dear Citra,
I suggest this paper, which is excellent in explaining many different performance indicators:
Bennett, N.D. et al., 2013. Characterising performance of environmental models. Environmental Modelling & Software, 40(0): 1-20. DOI:http://dx.doi.org/10.1016/j.envsoft.2012.09.011
After reading that paper, I would, for the KGE, tackle the original paper:
Gupta, H.V., Kling, H., Yilmaz, K.K., Martinez, G.F., 2009. Decomposition of the mean squared error and NSE performance criteria: Implications for improving hydrological modelling. Journal of Hydrology, 377(1–2): 80-91. DOI:http://dx.doi.org/10.1016/j.jhydrol.2009.08.003
This gives you the best possible explanation.

Willem



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Citra Rahma niar

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Jun 5, 2021, 11:01:50 PM6/5/21
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thank you sir, this paper is very helpful
Regards
Citra from Indonesia

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