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Draper, C. S., R. H. Reichle, G. J. M. De Lannoy, and B. Scarino:
"A dynamic approach to addressing observation-minus-forecast mean differences in a land surface skin temperature data assimilation system"
Journal of Hydrometeorology, 16, 449-464, doi:10.1175/JHM-D-14-0087.1, 2015.

Abstract:
In land data assimilation, bias in the observation-minus-forecast (O − F) residuals is typically removed from the observations prior to assimilation by rescaling the observations to have the same long-term mean (and higher-order moments) as the corresponding model forecasts. Such observation rescaling approaches require a long record of observed and forecast estimates and an assumption that the O − F residuals are stationary. A two-stage observation bias and state estimation filter is presented here, as an alternative to observation rescaling that does not require a long data record or assume stationary O − F residuals. The two-stage filter removes dynamic (nonstationary) estimates of the seasonal-scale mean O − F difference from the assimilated observations, allowing the assimilation to correct the model for subseasonal-scale errors without adverse effects from observation biases. The two-stage filter is demonstrated by assimilating geostationary skin temperature Tskin observations into the Catchment land surface model. Global maps of the estimated O − F biases are presented, and the two-stage filter is evaluated for one year over the Americas. The two-stage filter effectively removed the Tskin O − F mean differences, for example, the Geostationary Operational Environmental Satellite (GOES)-West O − F mean difference at 2100 UTC was reduced from 5.1 K for a bias-blind assimilation to 0.3 K. Compared to independent in situ and remotely sensed Tskin observations, the two-stage assimilation reduced the unbiased root-mean-square difference (ubRMSD) of the modeled Tskin by 10% of the open-loop values.


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