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Home > Newsevents > Training > Rcourse_notes > GENERAL_CIRCULATION > CHAOS >  
   

Chaos and weather prediction
January 2000

By Roberto Buizza
European Centre for Medium-Range Weather Forecasts




 
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Abstract

The weather is a chaotic system. Small errors in the initial conditions of a forecast grow rapidly, and affect predictability. Furthermore, predictability is limited by model errors due to the approximate simulation of atmospheric processes of 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.

Two of the most recent advances in numerical weather prediction, the operational implementation of ensemble prediction systems and the development of objective procedures to target adaptive observations are discussed.

Ensemble prediction is a feasible method to integrate a single, deterministic forecast with an estimate of the probability distribution function of forecast states. In particular, ensemble can provide forecasters with an objective way to predict the skill of single deterministic forecasts, or, in other words, to forecast the forecast skill. The European Centre for Medium-Range Weather Forecasts (ECMWF) Ensemble Prediction System (EPS), based on the notion that initial condition uncertainties are the dominant source of forecast error, is described.

Adaptive observations targeted in sensitive regions can reduce the initial conditions' uncertainties, and thus decrease forecast errors. More generally, singular vectors that identify unstable regions of the atmospheric flow can be used to identify optimal ways to adapt the atmospheric observing system.

Table of contents

1 . Introduction

2 . The Lorenz system

3 . Numerical weather prediction

4 . Sources of forecast error

5 . The ECMWF Ensemble Prediction System
  5.1 The original EPS configuration
  5.2 The new EPS configuration

6 . Targeted observations

7 . Summary and future developments

8 . Conclusion

9 . Acknowledgements

APPENDIX A Singular vector definition

APPENDIX B Projection operators

REFERENCES


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1 Corresponding author address: Dr Roberto Buizza, ECMWF, Shinfield Park, Reading RG2 9AX. Tel.:0118-9499653. Email: buizza@ecmwf.int


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