Results show that significant non-Gaussianity is present in all cases. Meanwhile, non-Gaussian regions tend to focus near convection, and to a lesser degree near boundaries and gradients. Compared with RHF analysis, the EAKF analysis contains more non-Gaussianity in its distributions on average.
In general, the EAKF analysis have similar to superior skill compared to the RHF analysis based on RMSEs and biases against observations. However, near non-Gaussian features and at higher resolution, the RHF analysis often resolves these features more accurately than the EAKF analysis does. Further diagnoses have been conducted to examine how the differing assumptions (e.g., non-Gaussian vs. Gaussian) in both filters affects the outcome of the data assimilation. It is noted that the most significant factor that leads to large differences in the analysis is related to deviations from a Gaussian distribution (outliers or bimodal distributions), as was expected. Detailed results will be presented at the conference.
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