Recognizing that lead-time dependent systematic forecast errors manifest in Model Prognostic Variables (MPV) and that the generation of fine scale USVs is altogether an independent problem, we design a 2-stage Statistical Post-Processing System (SPPS). Stage-1 (SPPS-1) brings and fuses all predictive information (i.e., unperturbed high resolution forecasts, lower resolution ensembles from different centers) together to produce calibrated (i.e., reliable, consistent with reanalysis) and informative (i.e., skillful, with high statistical resolution) probabilistic guidance for all MPVs on the model grid.
BPE uses prior climatological distributions based on a large sample of reanalysis to impose reliability. To assess the relative performance of, and combine predictive information from various NWP forecasts, a smaller joint sample of forecasts and verifying analyses are used. At its core, BPE uses multiple linear regression, a staple of Model Output Statistics. Due to the novel use of distributional and Bayesian techniques, BPE produces reliable forecasts, including extremes at a significantly reduced need for computer-intensive hindcasts. With a meta-Gaussian approach BPE is configured to process all continuous prognostic variables, regardless of their distribution type. For each variable, output is provided in a full array of formats: cumulative and probability distribution functions, quantiles, and ensemble forecasts consistent with the posterior distributions, all derived from just two parameters used in the context of the prior distribution function, only doubling the storage requirement compared to current practices.
Stage-2 (SPPS-2) uses the calibrated MPVs from Stage-1 that are statistically consistent with reanalysis, for the derivation of fine scale USVs. Unlike Stage-1 that corrects lead-time dependent systematic forecast errors, Stage-2 needs no forecast data whatsoever as it builds instantaneous (non-predictive) relationships between calibrated MPVs (i.e., reanalysis) and USVs (i.e., observationally based fine scale analysis). The MPV - USV relationships can either be physically based (readily usable components of the Unified Post-Processing package) or statistical (in design phase, leveraging existing Stage-1 BPE components).
Stage-1 BPE algorithms and software have been developed by the University of Virginia and the Global Systems Division of NOAA Research, respectively in a modular form for ease of implementation, maintenance, and further development and testing of alternative techniques. The software has been transitioned to the Meteorological Development Laboratory of the NWS where it undergoes further testing, from which initial results of a comparison with the operational Ensemble Kernel Density Model Output Statistics (EKDMOS) system will be presented at the conference. With the BPE project we attempt to bring it all together: (i) Theoretically based and time-proven scientific techniques and software engineering solutions; (ii) academic, NOAA research and operational communities and organizations; (iii) elements of a well-structured end-to-end workflow; (iv) the fusion of climatology with all informative NWP forecast guidance; (v) processing of all MPVs and USVs into (vi) calibrated and informative guidance in a (vii) comprehensive array of output formats (viii) serving diverse applications and the functionalities of a future probabilistic NBM.
Krzysztofowicz, R. and Z. Toth, 2008: Bayesian Processor of Ensemble (BPE): Concept and Implementation, 4th NCEP/NWS Ensemble User Workshop, Laurel, Maryland, May, see at: http://www.emc.ncep.noaa.gov/gmb/ens/UserWkshop_May2008.html