The most recent release of DART includes a Quantile-Conserving Ensemble Filtering Framework (QCEFF) that implements general but affordable nonlinear and non-Gaussian extensions to the EAKF. While the EAKF fits a normal continuous distribution to the prior ensemble before computing the posterior continuous distribution, the QCEFF allows any distribution family to be used. In particular, nearly non-parametric distributions like the Bounded Normal Rank Histogram distribution can be used when the appropriate distributions are not well-known. This is particularly important for data assimilation for bounded quantities like tracer concentrations but can also lead to significant improvements for fields that are more nearly normal. The QCEFF can also explicitly represent many types of nonlinear relations between observations and state variables leading to improved analysis estimates for all kinds of variables.
Results are presented from applying both the traditional EAKF and the QCEFF to reanalysis applications in the troposphere with CAM and CAM-Chem and to the deep atmosphere with WACCM-X. The results for CAM-Chem include ensemble reanalysis estimates of global CO as well as surface sources for CO. Forecast fits to observations are shown to be consistently better with the QCEFF method, especially for the CO tracers. There are many societal benefits of better estimates of atmospheric chemical and pollutant tracers and their sources, especially under a changing climate. Space weather also has potentially enormous impacts and the WACCM-X reanalysis provides a novel dataset for better understanding predictability and prediction of the upper atmosphere and ionosphere.
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