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Loïk Berre and Gérald Desroziers

and omega balance equations allows for the representation of some effects of the jet dynamics on space and time variations of temperature covariances in particular. Another way to relax the covariance homogeneity assumption is to represent geographical variations of variances while using the homogeneity assumption for correlations. This has been done in the European Centre for Medium-Range Weather Forecasts (ECMWF) variational assimilation system, as described in Derber and Bouttier (1999) , by

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