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.

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Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on hess-2021-514', Anonymous Referee #1, 22 Nov 2021
    • AC1: 'Reply on RC1', Yan Liu, 21 Jan 2022
  • RC2: 'Comment on hess-2021-514', Anonymous Referee #2, 17 Dec 2021
    • AC2: 'Reply on RC2', Yan Liu, 21 Jan 2022

Peer review completion

AR: Author's response | RR: Referee report | ED: Editor decision
ED: Reconsider after major revisions (further review by editor and referees) (10 Feb 2022) by Lelys Bravo de Guenni
AR by Yan Liu on behalf of the Authors (21 Mar 2022)  Author's response    Author's tracked changes    Manuscript
ED: Referee Nomination & Report Request started (29 Mar 2022) by Lelys Bravo de Guenni
RR by Jiangjiang Zhang (13 Apr 2022)
ED: Publish subject to minor revisions (review by editor) (05 Sep 2022) by Lelys Bravo de Guenni
AR by Yan Liu on behalf of the Authors (12 Sep 2022)  Author's response    Author's tracked changes    Manuscript
ED: Publish as is (28 Sep 2022) by Lelys Bravo de Guenni
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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.