A Probabilistic Forecast Approach for Daily Precipitation Totals

Abstract Commonly, postprocessing techniques are employed to calibrate a model forecast. Here, a probabilistic postprocessor is presented that provides calibrated probability and quantile forecasts of precipitation on the local scale. The forecasts are based on large-scale circulation patterns of the 12-h forecast from the NCEP high-resolution Global Forecast System (GFS). The censored quantile regression is used to estimate selected quantiles of the precipitation amount and the probability of the occurrence of precipitation. The approach accounts for the mixed discrete-continuous character of daily precipitation totals. The forecasts are verified using a new verification score for quantile forecasts, namely the censored quantile verification (CQV) score. The forecast approach is as follows: first, a canonical correlation is employed to correct systematic deviations in the GFS large-scale patterns compared with the NCEP–NCAR reanalysis or the 40-yr ECMWF Re-Analysis (ERA-40). Second, the statistical quant...

[1]  A. Sterl,et al.  The ERA‐40 re‐analysis , 2005 .

[2]  H. Storch,et al.  The Analog Method as a Simple Statistical Downscaling Technique: Comparison with More Complicated Methods , 1999 .

[3]  G. Brier VERIFICATION OF FORECASTS EXPRESSED IN TERMS OF PROBABILITY , 1950 .

[4]  M. Kenward,et al.  An Introduction to the Bootstrap , 2007 .

[5]  William H. Klein Computer Prediction of Precipitation Probability in the United States , 1971 .

[6]  Christopher K. Wikle,et al.  Atmospheric Modeling, Data Assimilation, and Predictability , 2005, Technometrics.

[7]  R. Reynolds,et al.  The NCEP/NCAR 40-Year Reanalysis Project , 1996, Renewable Energy.

[8]  P. Friederichs,et al.  Statistical Downscaling of Extreme Precipitation Events Using Censored Quantile Regression , 2007 .

[9]  A. Raftery,et al.  Strictly Proper Scoring Rules, Prediction, and Estimation , 2007 .

[10]  Robert L. Vislocky,et al.  The Use of Perfect Prog Forecasts to Improve Model Output Statistics Forecasts of Precipitation Probability , 1989 .

[11]  Leonard A. Smith,et al.  Scoring Probabilistic Forecasts: The Importance of Being Proper , 2007 .

[12]  John Bjørnar Bremnes,et al.  Probabilistic Forecasts of Precipitation in Terms of Quantiles Using NWP Model Output , 2004 .

[13]  A. H. Murphy,et al.  Hedging and Skill Scores for Probability Forecasts , 1973 .

[14]  Daniel S. Wilks,et al.  Statistical Methods in the Atmospheric Sciences: An Introduction , 1995 .

[15]  H. Glahn,et al.  The Use of Model Output Statistics (MOS) in Objective Weather Forecasting , 1972 .

[16]  Caren Marzban,et al.  MOS, Perfect Prog, and Reanalysis , 2006 .

[17]  Han Hong,et al.  Three-Step Censored Quantile Regression and Extramarital Affairs , 2002 .

[18]  L. Fahrmeir,et al.  Multivariate statistical modelling based on generalized linear models , 1994 .

[19]  Philippe Naveau,et al.  Stochastic downscaling of precipitation: From dry events to heavy rainfalls , 2007 .

[20]  Thomas M. Hamill,et al.  Measuring forecast skill: is it real skill or is it the varying climatology? , 2006 .

[21]  Stephen Portnoy,et al.  Censored Regression Quantiles , 2003 .

[22]  T. Barnett,et al.  Origins and Levels of Monthly and Seasonal Forecast Skill for United States Surface Air Temperatures Determined by Canonical Correlation Analysis , 1987 .

[23]  Thomas M. Hamill,et al.  Probabilistic Quantitative Precipitation Forecasts Based on Reforecast Analogs: Theory and Application , 2006 .

[24]  T. Lancaster,et al.  Bayesian Quantile Regression , 2005 .

[25]  Thomas M. Hamill,et al.  Ensemble Reforecasting: Improving Medium-Range Forecast Skill Using Retrospective Forecasts , 2004 .