Articles | Volume 25, issue 1
Nonlin. Processes Geophys., 25, 55–66, 2018
https://doi.org/10.5194/npg-25-55-2018
Nonlin. Processes Geophys., 25, 55–66, 2018
https://doi.org/10.5194/npg-25-55-2018

Research article 30 Jan 2018

Research article | 30 Jan 2018

Optimal transport for variational data assimilation

Nelson Feyeux et al.

Related authors

NEMOTAM: tangent and adjoint models for the ocean modelling platform NEMO
A. Vidard, P.-A. Bouttier, and F. Vigilant
Geosci. Model Dev., 8, 1245–1257, https://doi.org/10.5194/gmd-8-1245-2015,https://doi.org/10.5194/gmd-8-1245-2015, 2015
Short summary
An ETKF approach for initial state and parameter estimation in ice sheet modelling
B. Bonan, M. Nodet, C. Ritz, and V. Peyaud
Nonlin. Processes Geophys., 21, 569–582, https://doi.org/10.5194/npg-21-569-2014,https://doi.org/10.5194/npg-21-569-2014, 2014
Greenland ice sheet contribution to sea-level rise from a new-generation ice-sheet model
F. Gillet-Chaulet, O. Gagliardini, H. Seddik, M. Nodet, G. Durand, C. Ritz, T. Zwinger, R. Greve, and D. G. Vaughan
The Cryosphere, 6, 1561–1576, https://doi.org/10.5194/tc-6-1561-2012,https://doi.org/10.5194/tc-6-1561-2012, 2012

Related subject area

Subject: Predictability, probabilistic forecasts, data assimilation, inverse problems | Topic: Climate, atmosphere, ocean, hydrology, cryosphere, biosphere
Fast hybrid tempered ensemble transform filter formulation for Bayesian elliptical problems via Sinkhorn approximation
Sangeetika Ruchi, Svetlana Dubinkina, and Jana de Wiljes
Nonlin. Processes Geophys., 28, 23–41, https://doi.org/10.5194/npg-28-23-2021,https://doi.org/10.5194/npg-28-23-2021, 2021
Short summary
A methodology to obtain model-error covariances due to the discretization scheme from the parametric Kalman filter perspective
Olivier Pannekoucke, Richard Ménard, Mohammad El Aabaribaoune, and Matthieu Plu
Nonlin. Processes Geophys., 28, 1–22, https://doi.org/10.5194/npg-28-1-2021,https://doi.org/10.5194/npg-28-1-2021, 2021
Short summary
A method for predicting the uncompleted climate transition process
Pengcheng Yan, Guolin Feng, Wei Hou, and Ping Yang
Nonlin. Processes Geophys., 27, 489–500, https://doi.org/10.5194/npg-27-489-2020,https://doi.org/10.5194/npg-27-489-2020, 2020
Short summary
Statistical postprocessing of ensemble forecasts for severe weather at Deutscher Wetterdienst
Reinhold Hess
Nonlin. Processes Geophys., 27, 473–487, https://doi.org/10.5194/npg-27-473-2020,https://doi.org/10.5194/npg-27-473-2020, 2020
Short summary
Training a convolutional neural network to conserve mass in data assimilation
Yvonne Ruckstuhl, Tijana Janjić, and Stephan Rasp
Nonlin. Processes Geophys. Discuss., https://doi.org/10.5194/npg-2020-38,https://doi.org/10.5194/npg-2020-38, 2020
Revised manuscript accepted for NPG
Short summary

Cited articles

Asch, M., Bocquet, M., and Nodet, M.: Data assimilation: methods, algorithms, and applications, SIAM, 306 pp., 2016.
Benamou, J.-D. and Brenier, Y.: A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, Numer. Math., 84, 375–393, 2000.
Bocquet, M. and Sakov, P.: An iterative ensemble Kalman smoother, Q. J. Roy. Meteor. Soc., 140, 1521–1535, https://doi.org/10.1002/qj.2236, 2014.
Bonneel, N., Van De Panne, M., Paris, S., and Heidrich, W.: Displacement interpolation using Lagrangian mass transport, in: ACM Transactions on Graphics (TOG), 30, No. 158, ACM, 2011.
Brenier, Y., Frisch, U., Hénon, M., Loeper, G., Matarrese, S., Mohayaee, R., and Sobolevskiĭ, A.: Reconstruction of the early Universe as a convex optimization problem, Mon. Not. R. Astron. Soc., 346, 501–524, 2003.
Download
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.