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Jean-François Caron and Luc Fillion

rotational wind increments in variational analysis systems is to construct an operator using linear regression between the mass field and the rotational wind components of the flow from an ensemble of estimated forecast errors. Traditionally, when constructing the mass–rotational wind operator, all points (from both dry and precipitation areas) of the ensemble of estimated forecast errors are treated in the same way, thus preventing the ability to represent the particular balance over precipitation areas

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Loïk Berre and Gérald Desroziers

these techniques, observation and background perturbations are added (either explicitly or implicitly) to the unperturbed assimilation system in order to simulate associated error contributions and their effects on the error cycling of the assimilation system. Background perturbations correspond partly to the forecast evolution of the previous analysis perturbations, and also to possible additional model perturbations representative of model errors. In all cases, background error covariances are

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Marc Bocquet, Carlos A. Pires, and Lin Wu

usual Gaussian analysis of current data assimilation orthodoxy. There are reviews, or relevant reports, that focus more on the nonlinear aspects but less on modeling the non-Gaussian statistics ( Miller et al. 1994 ; Evensen 1997 ; Verlaan and Heemink 2001 ; Andersson et al. 2005 ). The intended scope of the article is broad: meteorology, oceanography, and atmospheric chemistry. Non-Gaussianity may take many forms there, and does not necessarily always come from the dynamics. However, a

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