Ensemble Riemannian data assimilation over the Wasserstein space

Tamang, S. K., Ebtehaj, A., Van Leeuwen, P. J. ORCID: https://orcid.org/0000-0003-2325-5340, Zou, D. and Lerman, G. (2021) Ensemble Riemannian data assimilation over the Wasserstein space. Nonlinear Processes in Geophysics, 28 (3). pp. 295-309. ISSN 1023-5809 doi: 10.5194/npg-28-295-2021

Abstract/Summary

In this paper, we present an ensemble data assimilation paradigm over a Riemannian manifold equipped with the Wasserstein metric. Unlike the Euclidean distance used in classic data assimilation methodologies, the Wasserstein metric can capture the translation and difference between the shapes of square-integrable probability distributions of the background state and observations. This enables us to formally penalize geophysical biases in state space with nonGaussian distributions. The new approach is applied to dissipative and chaotic evolutionary dynamics, and its potential advantages and limitations are highlighted compared to the classic ensemble data assimilation approaches under systematic errors.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/99532
Identification Number/DOI	10.5194/npg-28-295-2021
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
Publisher	European Geosciences Union
Download/View statistics	View download statistics for this item