Gaussian anamorphosis extension of the DEnKF for combined state parameter estimation: Application to a 1D ocean ecosystem model

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Data assimilation in the geosciences: An overview of methods, issues, and perspectives (2017, background): “These have proven advantageous in twin experiments (Li, Zhou, Hendricks Franssen, & Gómez-Hernández, 2012; Simon & Bertino, 2012), but their stability remains to be tested in real cases, where the true density is unknown and the results can become excessively sensitive to the choice of the tails of…”
Quasi-site-specific multivariate probability distribution model for sparse, incomplete, and three-dimensional spatially varying soil data (2021, background): “(1) assumes normality, a certain transformation (e.g. Box and Cox 1964; Simon and Bertino 2012; Ching and Phoon 2015; Liu et al. 2017) is needed to transform the soil properties into approximately normal variables.”