Hidden error variance theory. part II: An instrument that reveals hidden error variance distributions from ensemble forecasts and observations

Monthly Weather Review

Volumn 141, Issue 5, 2013, Pages 1469-1483

  Bishop, Craig H ^a   Satterfield, Elizabeth A ^b   Shanley, Kevin T ^c  

^a NAVAL RESEARCH LABORATORY   (United States)

^b NATIONAL RESEARCH COUNCIL   (United States)

^c Clarkson University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLIMATOLOGICAL DISTRIBUTIONS; DATA ASSIMILATION; ENSEMBLE FORECASTS; ENSEMBLE VARIANCES; ERROR VARIANCE; FORECAST ERROR VARIANCE; LONG TIME SERIES; OPTIMAL WEIGHT;

DATA PROCESSING;

FORECASTING;

ACCURACY ASSESSMENT; CLIMATOLOGY; DATA ASSIMILATION; ENSEMBLE FORECASTING; ERROR ANALYSIS; NUMERICAL MODEL; THEORETICAL STUDY; VARIANCE ANALYSIS;

EID: 84878182378     PISSN: 00270644     EISSN: 15200493     Source Type: Journal    
DOI: 10.1175/MWR-D-12-00119.1     Document Type: Article

References (26)

1. Atger, F., 1999: The skill of ensemble prediction systems. Mon. Wea. Rev., 127, 1941-1953.
2. Bishop, C. H., and E. A. Satterfield, 2013: Hidden error variance theory. Part I: Exposition and analytic model. Mon. Wea. Rev., 141, 1454-1468.
3. Bishop, C. H., B. J. Etherton, and S. J. Majumdar, 2001: Adaptive sampling with the ensemble transform Kalman filter. Part I: Theoretical aspects. Mon. Wea. Rev., 129, 420-436.
4. Brier, G. W., 1950: Verification of forecasts expressed in terms of probability. Mon. Wea. Rev., 78, 1-3.
5. Casati, B., and Coauthors, 2008: Forecast verification: Current status and future directions. Meteor. Appl., 15, 3-18.
6. DelSole, T., 2004: Predictability and information theory. Part I: Measures of predictability. J. Atmos. Sci., 61, 2425-2440.
7. Fortin, V., A.-C. Favre, and M. Saïd, 2006: Probabilistic forecasting from ensemble prediction systems: Improving upon the bestmember method by using a different weight and dressing kernel for each member. Quart. J. Roy. Meteor. Soc., 132, 1349-1369.
8. Gneiting, T., F. Balabdaoui, and A. E. Raftery, 2007: Probabilistic forecasts, calibration and sharpness. J. Roy. Stat. Soc., 69B, 243-268.
9. Hamill, T. M., 2001: Interpretation of rank histograms for verifying ensemble forecasts. Mon. Wea. Rev., 129, 550-560.
10. Hamill, T. M., and C. Snyder, 2000: A hybrid ensemble Kalman filter-3D variational analysis scheme. Mon. Wea. Rev., 128, 2905-2919.
11. Hersbach, H., 2000: Decomposition of the continuous ranked probability score for ensemble prediction systems. Wea. Forecasting, 15, 559-570.
12. Houtekamer, P. L., L. Lefaivre, J. Derome, H. Ritchie, and H. L. Mitchell, 1996: A system simulation approach to ensemble prediction. Mon. Wea. Rev., 124, 1225-1242.
13. Kleeman, R., 2002: Measuring dynamical prediction utility using relative entropy. J. Atmos. Sci., 59, 2057-2072.
14. Lorenz, E. N., 1996: Predictability-A problem solved. Proc. Predictability, Reading, United Kingdom, ECMWF.
15. Lorenz, E. N.,2005: Designing chaotic models. J. Atmos. Sci., 62, 1574-1587.
16. Mason, S. J., and N. E. Graham, 2002: Areas beneath the relative operating characteristics (ROC) and relative operating levels (ROL) curves: Statistical significance and interpretation. Quart. J. Roy. Meteor. Soc., 128, 2145-2166.
17. Molteni, F., R. Buizza, T. N. Palmer, and T. Petroliagis, 1996: The ECMWF Ensemble Prediction System: Methodology and validation. Quart. J. Roy. Meteor. Soc., 122, 73-119.
18. Raftery, A. E., T. Gneiting, F. Balabdaoui, and M. Polakowski, 2005: Using Bayesian model averaging to calibrate forecast ensembles. Mon. Wea. Rev., 133, 1155-1174.
19. Roulston, M. S., and L. A. Smith, 2002: Evaluating probabilistic forecasts using information theory. Mon. Wea. Rev., 130, 1653-1660.
20. Roulston, M. S., and L. A. Smith, 2003: Combining dynamical and statistical ensembles. Tellus, 55A, 16-30.
21. Toth, Z., and E. Kalnay, 1993: Ensemble forecasting at NMC: The generation of perturbations. Bull. Amer. Meteor. Soc., 74, 2317-2330.
22. Vrugt, J. A., M. P. Clark, C. G. H. Diks, Q. Duan, and B. A. Robinson, 2006:Multi-objective calibration of forecast ensembles using Bayesian model averaging. Geophys. Res. Lett., 33, L19817, doi:10.1029/2006GL027126.
23. Wang, X., and C. H. Bishop, 2005: Improvement of ensemble reliability with a new dressing kernel. Quart. J. Roy. Meteor. Soc., 131, 965-986.
24. Wilks, D. S., 2001: A skill score based on economic value for probability forecasts. Meteor. Appl., 8, 209-219.
25. Wilks, D. S., and T. M. Hamill, 2007: Comparison of ensemble-MOS methods using GFS reforecasts. Mon. Wea. Rev., 135, 2379-2390.
26. Wilson, L. J., S. Beauregard, A. E. Raftery, and R. Verret, 2007: Calibrated surface temperature forecasts from the Canadian Ensemble Prediction System using Bayesian model averaging. Mon. Wea. Rev., 135, 1364-1385.