Ozone ensemble forecasts: 2. A Kalman filter predictor bias correction

[1] The Kalman filter (KF) is a recursive algorithm to estimate a signal from noisy measurements. In this study it is tested in predictor mode, to postprocess ozone forecasts to remove systematic errors. The recent past forecasts and observations are used by the KF to estimate the future bias. This bias correction is calculated separately for, and applied to, 12 different air quality (AQ) forecasts for the period 11–15 August 2004, over five monitoring stations in the Lower Fraser Valley, British Columbia, Canada, a population center in a complex coastal mountain setting. The 12 AQ forecasts are obtained by driving an AQ Model (CMAQ) with two mesoscale meteorological models (each run at two resolutions) and for three emission scenarios (Delle Monache et al., 2006). From the 12 KF AQ forecasts an ensemble mean is calculated (EK). This ensemble mean is also KF bias corrected, resulting in a high-quality estimate (KEK) of the short-term (1- to 2-day) ozone forecast. The Kalman filter predictor bias-corrected ensemble forecasts have better forecast skill than the raw forecasts for the locations and days used here. The corrected forecasts are improved for correlation, gross error, root mean square error, and unpaired peak prediction accuracy. KEK is the best and EK is the second best forecast overall when compared with the other 12 forecasts. The reason for the success of EK and KEK is that both the systematic and unsystematic errors are reduced, the first by Kalman filtering and the second by ensemble averaging.

[1]  Luca Delle Monache,et al.  Ozone ensemble forecasts: 1. A new ensemble design , 2006 .

[2]  M. Buehner,et al.  Atmospheric Data Assimilation with an Ensemble Kalman Filter: Results with Real Observations , 2005 .

[3]  R. Vingarzan A review of surface ozone background levels and trends , 2004 .

[4]  Henryk Modzelewski,et al.  Verification of Mesoscale Numerical Weather Forecasts in Mountainous Terrain for Application to Avalanche Prediction , 2003 .

[5]  K. Taylor Summarizing multiple aspects of model performance in a single diagram , 2001 .

[6]  J. Lundgren,et al.  Tropospheric layering of ozone in regions of urbanized complex and/or coastal terrain: a review , 2000 .

[7]  Arjo Segers,et al.  Data assimilation of ozone in the atmospheric transport chemistry model LOTOS , 2000, Environ. Model. Softw..

[8]  T. Hamill,et al.  A Hybrid Ensemble Kalman Filter-3D Variational Analysis Scheme , 2000 .

[9]  Alex J. Cannon,et al.  Forecasting Summertime Surface-Level Ozone Concentrations in the Lower Fraser Valley of British Columbia: An Ensemble Neural Network Approach , 2000, Journal of the Air & Waste Management Association.

[10]  G. Evensen,et al.  Analysis Scheme in the Ensemble Kalman Filter , 1998 .

[11]  M. Homleid,et al.  Diurnal Corrections of Short-Term Surface Temperature Forecasts Using the Kalman Filter , 1995 .

[12]  Ian G. McKendry,et al.  Synoptic Circulation and Summertime Ground-Level Ozone Concentrations at Vancouver, British Columbia , 1994 .

[13]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[14]  A. Martilli,et al.  A Numerical Study of Recirculation Processes in the Lower Fraser Valley (British Columbia, Canada) , 2007 .

[15]  M. Katz Validation of models , 2006 .

[16]  A. Segers,et al.  Assimilation of GOME ozone profiles and a global chemistry–transport model using a Kalman filter with anisotropic covariance , 2005 .

[17]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[18]  P. Houtekamer,et al.  A Sequential Ensemble Kalman Filter for Atmospheric Data Assimilation , 2001 .

[19]  Robin L. Dennis,et al.  NARSTO critical review of photochemical models and modeling , 2000 .

[20]  D. Byun Science algorithms of the EPA Models-3 community multi-scale air quality (CMAQ) modeling system , 1999 .

[21]  S. M. Bozic Digital and Kalman filtering , 1979 .