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Optimal localization for ensemble Kalman filter systems

Perianez, A., Reich, H. and Potthast, R. (2014) Optimal localization for ensemble Kalman filter systems. Journal of the Meteorological Society of Japan. Ser. II, 92 (6). pp. 585-597. ISSN 0026-1165

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To link to this item DOI: 10.2151/jmsj.2014-605


In ensemble Kalman filter methods, localization is applied for both avoiding the spurious correlations of distant observations and increasing the effective size of the ensemble space. The procedure is essential in order to provide quality assimilation in large systems; however a severe localization can cause imbalances that impact negatively on the accuracy of the analysis.  We want to understand the fundamental properties of localized ensemble methods and to investigate an optimal localization expression which minimizes the analysis error. The novel analytical expression derived in this work depends on the observation error, the density of measurements, and the approximation error, i.e., the error that comes from working in the ensemble space. The mathematical results are tested with two numerical simulations using a toy model. We demonstrate that observations with different observation error or density need different localization length scales.

Item Type:Article
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:67493
Publisher:Meteorological Society of Japan

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