Localizing the Ensemble Kalman Particle Filter

Ensemble methods such as the Ensemble Kalman Filter (EnKF) are widely used for data assimilation in large-scale geophysical applications, as for example in numerical weather prediction. There is a growing interest for physical models with higher and higher resolution, which brings new challenges for...

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Main Authors: Sylvain Robert, Hans R. Künsch
Format: Article
Language:English
Published: Stockholm University Press 2017-01-01
Series:Tellus: Series A, Dynamic Meteorology and Oceanography
Subjects:
Online Access:http://dx.doi.org/10.1080/16000870.2017.1282016
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author Sylvain Robert
Hans R. Künsch
author_facet Sylvain Robert
Hans R. Künsch
author_sort Sylvain Robert
collection DOAJ
description Ensemble methods such as the Ensemble Kalman Filter (EnKF) are widely used for data assimilation in large-scale geophysical applications, as for example in numerical weather prediction. There is a growing interest for physical models with higher and higher resolution, which brings new challenges for data assimilation techniques because of the presence of non-linear and non-Gaussian features that are not adequately treated by the EnKF. We propose two new localized algorithms based on the Ensemble Kalman Particle Filter, a hybrid method combining the EnKF and the Particle Filter (PF) in a way that maintains scalability and sample diversity. Localization is a key element of the success of EnKF in practice, but it is much more challenging to apply to PFs. The algorithms that we introduce in the present paper provide a compromise between the EnKF and the PF while avoiding some of the problems of localization for pure PFs. Numerical experiments with a simplified model of cumulus convection based on a modified shallow water equation show that the proposed algorithms perform better than the local EnKF. In particular, the PF nature of the method allows to capture non-Gaussian characteristics of the estimated fields such as the location of wet and dry areas.
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spelling doaj.art-222f105cd40343869016385db5e6a1942022-12-22T01:11:01ZengStockholm University PressTellus: Series A, Dynamic Meteorology and Oceanography1600-08702017-01-0169110.1080/16000870.2017.12820161282016Localizing the Ensemble Kalman Particle FilterSylvain Robert0Hans R. Künsch1ETH ZürichETH ZürichEnsemble methods such as the Ensemble Kalman Filter (EnKF) are widely used for data assimilation in large-scale geophysical applications, as for example in numerical weather prediction. There is a growing interest for physical models with higher and higher resolution, which brings new challenges for data assimilation techniques because of the presence of non-linear and non-Gaussian features that are not adequately treated by the EnKF. We propose two new localized algorithms based on the Ensemble Kalman Particle Filter, a hybrid method combining the EnKF and the Particle Filter (PF) in a way that maintains scalability and sample diversity. Localization is a key element of the success of EnKF in practice, but it is much more challenging to apply to PFs. The algorithms that we introduce in the present paper provide a compromise between the EnKF and the PF while avoiding some of the problems of localization for pure PFs. Numerical experiments with a simplified model of cumulus convection based on a modified shallow water equation show that the proposed algorithms perform better than the local EnKF. In particular, the PF nature of the method allows to capture non-Gaussian characteristics of the estimated fields such as the location of wet and dry areas.http://dx.doi.org/10.1080/16000870.2017.1282016ensemble Kalman filterparticle filterdata assimilationnon-linear filteringlocalization
spellingShingle Sylvain Robert
Hans R. Künsch
Localizing the Ensemble Kalman Particle Filter
Tellus: Series A, Dynamic Meteorology and Oceanography
ensemble Kalman filter
particle filter
data assimilation
non-linear filtering
localization
title Localizing the Ensemble Kalman Particle Filter
title_full Localizing the Ensemble Kalman Particle Filter
title_fullStr Localizing the Ensemble Kalman Particle Filter
title_full_unstemmed Localizing the Ensemble Kalman Particle Filter
title_short Localizing the Ensemble Kalman Particle Filter
title_sort localizing the ensemble kalman particle filter
topic ensemble Kalman filter
particle filter
data assimilation
non-linear filtering
localization
url http://dx.doi.org/10.1080/16000870.2017.1282016
work_keys_str_mv AT sylvainrobert localizingtheensemblekalmanparticlefilter
AT hansrkunsch localizingtheensemblekalmanparticlefilter