Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-xm8r8 Total loading time: 0 Render date: 2024-07-04T23:14:52.745Z Has data issue: false hasContentIssue false

Chapter 17 - The ECMWF Ensemble Prediction System

Published online by Cambridge University Press:  03 December 2009

Roberto Buizza
Affiliation:
European Centre for Medium-Range Weather Forecasts, Reading
Tim Palmer
Affiliation:
European Centre for Medium-Range Weather Forecasts
Renate Hagedorn
Affiliation:
European Centre for Medium-Range Weather Forecasts
Get access

Summary

There are two key sources of forecast error: the presence of uncertainties in the initial conditions and the approximate simulation of atmospheric processes achieved in the state-of-the-art numerical models. These two sources of uncertainties limit the skill of single, deterministic forecasts in an unpredictable way, with days of high/poor quality forecasts randomly followed by days of high/poor quality forecasts. One way to overcome this problem is to move from a deterministic to a probabilistic approach to numerical weather prediction, and try to estimate the time evolution of an appropriate probability density function in the atmosphere's phase space. Ensemble prediction is a feasible method to estimate the probability distribution function of forecast states. The European Centre for Medium-Range Weather Forecasts (ECMWF) Ensemble Prediction System (EPS) is one of the most successful global ensemble prediction systems run on a daily basis. In this chapter the ECMWF EPS is described, its forecast skill documented, and potential areas of future development are discussed.

The rationale behind ensemble prediction

The time evolution of the atmospheric flow, which is described by the spatial distribution of wind, temperature, and other weather variables such as specific humidity and surface pressure, can be estimated by numerically integrating the mathematical differential equations that describe the system time evolution. These equations include Newton's laws of motion used in the form ‘acceleration equals force divided by mass’ and the laws of thermodynamics. Numerical time-integration is performed by replacing time-derivatives with finite differences, and spatial-integration either by finite difference schemes or spectral methods.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Anderson, J. L. (1997). The impact of dynamical constraints on the selection of initial conditions for ensemble predictions: low-order perfect model results. Mon. Weather Rev., 125, 2969–832.0.CO;2>CrossRefGoogle Scholar
Barkmeijer, J., Gijzen, M. and Bouttier, F. (1998). Singular vectors and estimates of the analysis error covariance metric. Quart. J. Roy. Meteor. Soc., 124, 1695–713CrossRefGoogle Scholar
Barkmeijer, J., Buizza, R. and Palmer, T. N. (1999). 3D-Var Hessian singular vectors and their potential use in the ECMWF Ensemble Prediction System. Quart. J. Roy. Meteor. Soc., 125, 2333–51CrossRefGoogle Scholar
Barkmeijer, J., Buizza, R., Palmer, T. N., Puri, K. and Mahfouf, J.-F. (2001). Tropical singular vectors computed with linearized diabatic physics. Quart. J. Roy. Meteor. Soc., 127, 685–708CrossRefGoogle Scholar
Boffetta, G., Guliani, P., Paladin, G. and Vulpiani, A. (1998). An extension of the Lyapunov analysis for the predictability problem. J. Atmos. Sci., 55, 3409–162.0.CO;2>CrossRefGoogle Scholar
Borges, M. and Hartmann, D. L. (1992). Barotropic instability and optimal perturbations of observed non-zonal flows. J. Atmos. Sci., 49, 335–542.0.CO;2>CrossRefGoogle Scholar
Brier, G. W. (1950). Verification of forecasts expressed in terms of probability. Mon. Weather Rev., 78, 1–32.0.CO;2>CrossRefGoogle Scholar
Buizza, R. (1994). Sensitivity of optimal unstable structures. Quart. J. Roy. Meteor. Soc., 120, 429–51CrossRefGoogle Scholar
Buizza, R. and Palmer, T. N. (1995). The singular-vector structure of the atmospheric general circulation. J. Atmos. Sci., 52(9), 1434–562.0.CO;2>CrossRefGoogle Scholar
Buizza, R. and Palmer, T. N. (1998). Impact of ensemble size on the skill and the potential skill of an ensemble prediction system. Mon. Weather Rev., 126, 2503–182.0.CO;2>CrossRefGoogle Scholar
Buizza, R. and Palmer, T. N. (1999). Ensemble data assimilation. In Proceedings of the17th Conference on Weather Analysis and Forecasting, 13–17 September 1999, Denver, Colorado. ECMWFGoogle Scholar
Buizza, R. and Hollingsworth, A. (2001). Storm prediction over Europe using the ECMWF Ensemble Prediction System. Meteor. Appl., 9, 289–306CrossRefGoogle Scholar
Buizza, R., Tribbia, J., Molteni, F. and Palmer, T. N. (1993). Computation of optimal unstable structures for a numerical weather prediction model. Tellus, 45A, 388–407CrossRefGoogle Scholar
Buizza, R., Petroliagis, T., Palmer, T. N., et al. (1998). Impact of model resolution and ensemble size on the performance of an ensemble prediction system. Quart. J. Roy. Meteor. Soc., 124, 1935–60CrossRefGoogle Scholar
Buizza, R., Miller, M. and Palmer, T. N. (1999). Stochastic simulation of model uncertainties. Quart. J. Roy. Meteor. Soc., 125, 2887–908CrossRefGoogle Scholar
Buizza, R., Richardson, D. S. and Palmer, T. N. (2003). Benefits of increased resolution in the ECMWF ensemble system and comparison with poor-man's ensembles. Quart. J. Roy. Meteor. Soc., 129, 1269–88CrossRefGoogle Scholar
Buizza, R., P. L.Houtekamer, Z. Toth, et al. (2005). A comparison of the ECMWF, MSC and NCEP Global Ensemble Prediction Systems. Mon. Weather Rev., 133, 1076–97CrossRefGoogle Scholar
Courtier, P. and Talagrand, O. (1987). Variational assimilation of meteorological observations with the adjoint vorticity equation. 2: Numerical results. Quart. J. Roy. Meteor. Soc., 113, 1329–47CrossRefGoogle Scholar
Courtier, P., Freydier, C., Geleyn, J.-F., Rabier, F. and Rochas, M. (1991). The Arpege project at Météo-France. In Proceedings of the ECMWF Seminar on Numerical Methods in Atmospheric Models, Vol. II, pp. 193–231. ECMWF, Shinfield Park, Reading RG2 9AX, UKGoogle Scholar
Courtier, P., Thepaut, J.-N. and Hollingsworth, A. (1994). A strategy for operational implementation of 4D-Var, using an incremental approach. Quart. J. Roy. Meteorol. Soc., 120, 1367–88CrossRefGoogle Scholar
Coutinho, M. M., Hoskins, B. J. and Buizza, R. (2004). The influence of physical processes on extra tropical singular vectors. J. Atmos. Sci., 61, 195–2092.0.CO;2>CrossRefGoogle Scholar
Downton, R. A. and Bell, R. S. (1988). The impact of analysis differences on a medium-range forecast. Meteor. Mag., 117, 279–85Google Scholar
Ehrendorfer, M. (1994). The Liouville equation and its potential usefulness for the prediction of forecast skill. I: Theory. Mon. Weather Rev., 122, 703–132.0.CO;2>CrossRefGoogle Scholar
Ehrendorfer, M. and A. Beck (2003). Singular Vector-based Multivariate Normal Sampling in Ensemble Prediction. ECMWF Technical Report 416. Available at ECMWF, Shinfield Park, Reading RG2 9AX, UK (www.ecmwf.int/publications/library/)Google Scholar
Epstein, E. S. (1969). Stochastic dynamic prediction. Tellus, 21, 739–59CrossRefGoogle Scholar
Farrell, B. F. (1982). The initial growth of disturbances in a baroclinic flow. J. Atmos. Sci., 39(8), 1663–862.0.CO;2>CrossRefGoogle Scholar
Farrell, B. F. (1988). Optimal excitation of neutral Rossby waves. J. Atmos. Sci., 45(2), 163–722.0.CO;2>CrossRefGoogle Scholar
Farrell, B. F. (1989). Optimal excitation of baroclinic waves. J. Atmos. Sci., 46(9), 1193–2062.0.CO;2>CrossRefGoogle Scholar
Fleming, R. J. (1971a). On stochastic dynamic prediction. I: The energetics of uncertainty and the question of closure. Mon. Weather Rev., 99, 851–722.3.CO;2>CrossRefGoogle Scholar
Fleming, R. J. (1971b). On stochastic dynamic prediction. II: Predictability and utility. Mon. Weather Rev., 99, 927–382.3.CO;2>CrossRefGoogle Scholar
Gleeson, T. A. (1970). Statistical-dynamical predictions. J. Appl. Meteor., 9, 333–442.0.CO;2>CrossRefGoogle Scholar
Golub, G. H. and Loan, C. F. (1983). Matrix Computation. North Oxford Academic Publ. Co. Ltd.Google Scholar
Gouweleeuw, B., Reggiani, P. and Roo, A. (2004). A European Flood Forecasting System (EFFS). Full report of the EFFS project of the European Commission. Available from Ad de Roo, Institute for Environment and Sustainability, JRC, Via E. Fermi, 21020 Ispra (Va), ItalyGoogle Scholar
Harrison, M. S. J., Palmer, T. N., Richardson, D. S. and Buizza, R. (1999). Analysis and model dependencies in medium-range ensembles: two transplant case studies. Quart. J. Roy. Meteor. Soc., 125, 2487–515CrossRefGoogle Scholar
Hartmann, D. L., Buizza, R. and Palmer, T. N. (1995). Singular vectors: the effect of spatial scale on linear growth of disturbances. J. Atmos. Sci., 52, 3885–942.0.CO;2>CrossRefGoogle Scholar
Holton, J. R. (1992). An Introduction to Dynamic Meteorology. Academic PressGoogle Scholar
Hoskins, B. J., Buizza, R. and Badger, J. (2000). The nature of singular vector growth and structure. Quart. J. Roy. Meteor. Soc., 126, 1565–80CrossRefGoogle Scholar
Houtekamer, P. L., Lefaivre, L., Derome, J., Ritchie, H. and Mitchell, H. (1996). A system simulation approach to ensemble prediction. Mon. Weather Rev., 124, 1225–422.0.CO;2>CrossRefGoogle Scholar
Iyengar, G., Toth, Z., Kalnay, E. and Woollen, J. (1996). Are the bred vectors representative of analysis errors? In Preprints of the 11th AMS Conference on Numerical Weather Prediction, 19–23 August 1996, Norfolk, Virginia, pp. J64–J66. American Meteorological SocietyGoogle Scholar
Jacob, C. (1994). The impact of the new cloud scheme on ECMWF's Integrated Forecasting System (IFS). In Proceedings of the ECMWF/GEWEX workshop on Modelling, Validation and Assimilation of Clouds, 31 October–4 November 1994. ECMWF, Shinfield Park, Reading RG2 9AXGoogle Scholar
Leith, C. E. (1974). Theoretical skill of Monte Carlo forecasts. Mon. Weather Rev., 102, 409–182.0.CO;2>CrossRefGoogle Scholar
Lorenz, C. E. (1965). A study of the predictability of a 28-variable atmospheric model. Tellus, 17, 321–33CrossRefGoogle Scholar
Mason, I. (1982). A model for assessment of weather forecasts. Aust. Meteorol. Mag., 30, 291–303Google Scholar
Mahfouf, J.-F. (1999). Influence of physical processes on the tangent-linear approximation. Tellus, 51A, 147–66CrossRefGoogle Scholar
Mocrette, J.-J. (1990). Impact of changes to the radiation transfer parametrisation plus cloud optical properties in the ECMWF model. Mon. Weather Rev., 118, 847–732.0.CO;2>CrossRefGoogle Scholar
Molteni, F. and Palmer, T. N. (1993). Predictability and finite-time instability of the northern winter circulation. Quart. J. Roy. Meteor. Soc., 119, 1088–97CrossRefGoogle Scholar
Molteni, F., Buizza, R., Palmer, T. N. and Petroliagis, T. (1996). The new ECMWF ensemble prediction system: methodology and validation. Quart. J. Roy. Meteor. Soc., 122, 73–119CrossRefGoogle Scholar
Mullen, S. and Buizza, R. (2001). Quantitative precipitation forecasts over the United States by the ECMWF Ensemble Prediction System. Mon. Weather Rev., 129, 638–632.0.CO;2>CrossRefGoogle Scholar
Mullen, S. and Buizza, R. (2002). The impact of horizontal resolution and ensemble size on probabilistic forecasts of precipitation by the ECMWF Ensemble Prediction System. Weather Forecast., 17, 173–912.0.CO;2>CrossRefGoogle Scholar
Noble, B. and Daniel, J. W. (1977). Applied Linear Algebra. Prentice-HallGoogle Scholar
Palmer, T. N., Molteni, F., Mureau, R., Buizza, R., Chapelet, P. and Tribbia, J. (1993). Ensemble prediction. In Proceedings of the ECMWF Seminar on Validation of Models over Europe, Vol. I. ECMWF, Shinfield Park, Reading, RG2 9AX, UKGoogle Scholar
Richardson, D. S. (1998). The relative effect of model and analysis differences on ECMWF and UKMO operational forecasts. In Proceedings of the ECMWF Workshop on Predictability. ECMWF, Shinfield Park, Reading RG2 9AX, UKGoogle Scholar
Richardson, D. S. (2000). Skill and economic value of the ECMWF Ensemble Prediction System. Quart. J. Roy. Meteor. Soc., 126, 649–68CrossRefGoogle Scholar
Saetra, O. (2004). Ensemble Ship-routing. ECMWF Research Department Technical Memorandum 435. Available from ECMWF, Shinfield Park, Reading RG2 9AX, UKGoogle Scholar
Shutts, G. (2004). A Stochastic Kinetic Energy Backscatter Algorithm for Use in Ensemble Prediction Systems. ECMWF Research Department Technical Memorandum 449. Available from ECMWF, Shinfield Park, Reading RG2 9AX, UKGoogle Scholar
Simmons, A. J., Burridge, D. M., Jarraud, M., Girard, C. and Wergen, W. (1989). The ECMWF medium-range prediction models development of the numerical formulations and the impact of increased resolution. Meteor. Atmos. Phys., 40, 28–60CrossRefGoogle Scholar
Simmons, A. J., Mureau, R. and Petroliagis, T. (1995). Error growth and predictability estimates for the ECMWF forecasting system. Quart. J. Roy. Meteor. Soc., 121, 1739–71CrossRefGoogle Scholar
Smith, L. A., Roulston, M. S. and Hardenbergm, J. (2001). End to End Ensemble Forecasting: Towards Evaluating the Economic Value of the Ensemble Prediction System. ECMWF Research Department Technical Memorandum 336. Available from ECMWF, Shinfield Park, Reading RG2 9AX, UKGoogle Scholar
Somerville, R. C. J. (1979). Predictability and prediction of ultra-long planetary waves. In Preprints of the AMS Fourth Conference on Numerical Weather Prediction, Silver Spring, MD, pp. 182–5. American Meteorological Society
Stanski, H. R., Wilson, L. J. and Burrows, W. R. (1989). Survey of common verification methods in meteorology. World Weather Watch Technical Report 8, WMO/TD. 358. World Meteorological OrganizationGoogle Scholar
Talagrand, O. and Courtier, P. (1987). Variational assimilation of meteorological observations with the adjoint vorticity equation. 1: Theory. Quart. J. Roy. Meteor. Soc., 113, 1311–28CrossRefGoogle Scholar
Taylor, J. and Buizza, R. (2003). Using weather ensemble prediction in energy demand forecasting. Int. J. Forecasting, 19, 57–70CrossRefGoogle Scholar
Taylor, J. and Buizza, R. (2004). A comparison of temperature density forecasts from GARCH and atmospheric models. J. Forecasting, 23, 337–55CrossRefGoogle Scholar
Tiedtke, M. (1993). Representation of clouds in large-scale models. Mon. Weather Rev., 121, 3040–602.0.CO;2>CrossRefGoogle Scholar
Toth, Z. and Kalnay, E. (1993). Ensemble forecasting at NMC: the generation of perturbations. Bull. Am. Meteorol. Soc., 74, 2317–302.0.CO;2>CrossRefGoogle Scholar
Tracton, M. S. and Kalnay, E. (1993). Operational ensemble prediction at the National Meteorological Center: practical aspects. Weather Forecast., 8, 379–982.0.CO;2>CrossRefGoogle Scholar
Viterbo, P. and Beljaars, C. M. (1995). An improved land surface parametrisation scheme in the ECMWF model and its validation. J. Climate, 8, 2716–482.0.CO;2>CrossRefGoogle Scholar
Wei, M. and Toth, Z. (2003). A new measure of ensemble performance: perturbation versus error correlation analysis (PECA). Mon. Weather Rev., 131, 1549–652.0.CO;2>CrossRefGoogle Scholar
Wilks, D. S. (1995). Statistical Methods in Atmospheric Sciences. Academic PressGoogle Scholar
Wilks, D. S. (2002). Smoothing ensembles with fitted probability distributions. Quart. J. Roy. Meteorol. Soc., 128, 2821–36CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×