Articles | Volume 26, issue 20
Hydrol. Earth Syst. Sci., 26, 5341–5355, 2022
https://doi.org/10.5194/hess-26-5341-2022
Hydrol. Earth Syst. Sci., 26, 5341–5355, 2022
https://doi.org/10.5194/hess-26-5341-2022
Research article
27 Oct 2022
Research article | 27 Oct 2022

Pitfalls and a feasible solution for using KGE as an informal likelihood function in MCMC methods: DREAM(ZS) as an example

Yan Liu et al.

Data sets

A large-sample watershed-scale hydrometeorological dataset for the contiguous USA A. Newman, K. Sampson, M. P. Clark, A. Bock, R. J. Viger, and D. Blodgett https://doi.org/10.5065/D6MW2F4D

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Short summary
We adapt the informal Kling–Gupta efficiency (KGE) with a gamma distribution to apply it as an informal likelihood function in the DiffeRential Evolution Adaptive Metropolis DREAM(ZS) method. Our adapted approach performs as well as the formal likelihood function for exploring posterior distributions of model parameters. The adapted KGE is superior to the formal likelihood function for calibrations combining multiple observations with different lengths, frequencies and units.