Multivariate stochastic bias corrections with optimal transport

Robin, Yoann; Vrac, Mathieu; Naveau, Philippe; Yiou, Pascal

doi:https://doi.org/10.5194/hess-23-773-2019

Articles | Volume 23, issue 2

https://doi.org/10.5194/hess-23-773-2019

© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/hess-23-773-2019

© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 23, issue 2

Research article

|

12 Feb 2019

Research article |

| 12 Feb 2019

Multivariate stochastic bias corrections with optimal transport

Yoann Robin, Mathieu Vrac, Philippe Naveau, and Pascal Yiou

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Final revised paper (published on 12 Feb 2019)
Supplement to the final revised paper
Preprint (discussion started on 24 Jul 2018)
Supplement to the preprint

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

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- Supplement

RC1: 'New multiviate bias correction method with heavy formalism', Anonymous Referee #1, 13 Aug 2018
- AC1: 'Interactive comment on "Multivariate stochastic bias corrections with optimal transport" by Yoann Robin et al.', Yoann Robin, 14 Nov 2018
RC2: 'Review comments', Michael Muskulus, 03 Sep 2018
- AC2: 'Interactive comment on "Multivariate stochastic bias corrections with optimal transport" by Yoann Robin et al.', Yoann Robin, 14 Nov 2018

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

ED: Reconsider after major revisions (further review by editor and referees) (28 Nov 2018) by Uwe Ehret

AR by Yoann Robin on behalf of the Authors (29 Nov 2018) Author's response Manuscript

ED: Referee Nomination & Report Request started (29 Nov 2018) by Uwe Ehret

RR by Anonymous Referee #1 (03 Dec 2018)

RR by Michael Muskulus (11 Jan 2019)

ED: Publish subject to minor revisions (review by editor) (11 Jan 2019) by Uwe Ehret

AR by Yoann Robin on behalf of the Authors (15 Jan 2019) Author's response Manuscript

ED: Publish subject to technical corrections (16 Jan 2019) by Uwe Ehret

AR by Yoann Robin on behalf of the Authors (17 Jan 2019) Author's response Manuscript

Short summary

Bias correction methods are used to calibrate climate model outputs with respect to observations. In this article, a non-stationary, multivariate and stochastic bias correction method is developed based on optimal transport, accounting for inter-site and inter-variable correlations. Optimal transport allows us to construct a joint distribution that minimizes energy spent in bias correction. Our methodology is tested on precipitation and temperatures over 12 locations in southern France.