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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 25, issue 1
Nonlin. Processes Geophys., 25, 55–66, 2018
https://doi.org/10.5194/npg-25-55-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
Nonlin. Processes Geophys., 25, 55–66, 2018
https://doi.org/10.5194/npg-25-55-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 30 Jan 2018

Research article | 30 Jan 2018

Optimal transport for variational data assimilation

Nelson Feyeux et al.
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Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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AR: Author's response | RR: Referee report | ED: Editor decision
AR by Arthur Vidard on behalf of the Authors (13 Nov 2017)  Author's response    Manuscript
ED: Referee Nomination & Report Request started (20 Nov 2017) by Olivier Talagrand
RR by Anonymous Referee #1 (22 Nov 2017)
RR by Anonymous Referee #2 (03 Dec 2017)
ED: Publish subject to minor revisions (review by editor) (06 Dec 2017) by Olivier Talagrand
AR by Arthur Vidard on behalf of the Authors (15 Dec 2017)  Author's response    Manuscript
ED: Publish subject to technical corrections (26 Dec 2017) by Olivier Talagrand
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Short summary
In geophysics, numerical models are generally initialized through so-called data assimilation methods. They require computation of a distance between model fields and physical observations. The most common choice is the Euclidian distance. However, due to its local nature it is not well suited for capturing position errors. This papers investigates theoretical aspects of the use of the optimal transport-based Wasserstein distance in this context and shows that it is able to capture such errors.
In geophysics, numerical models are generally initialized through so-called data assimilation...
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