A spectral stochastic kinetic energy backscatter scheme and its impact on flow-dependent predictability in the ECMWF ensemble prediction system

Journal of the Atmospheric Sciences

Volumn 66, Issue 3, 2009, Pages 603-626

  Berner, J ^a,c   Shutts, G J ^b   Leutbecher, M ^a   Palmer, T N ^a  

^a EUROPEAN CENTRE FOR MEDIUM RANGE WEATHER FORECASTS   (United Kingdom)

^b MET OFFICE   (United Kingdom)

^c NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTO REGRESSIVE PROCESS; COARSE-GRAINED; DISSIPATION RATES; ENERGY SPECTRA; ENSEMBLE PREDICTION SYSTEMS; ERROR GROWTH; EUROPEAN CENTRE FOR MEDIUM-RANGE WEATHER FORECASTS; HIGH-RESOLUTION MODELS; INITIAL PERTURBATION; MODEL ERRORS; NUMERICAL INTEGRATION SCHEME; NUMERICAL WEATHER PREDICTION MODELS; ON FLOW; PARAMETERIZATIONS; PROBABILISTIC SKILL; RAINFALL FORECASTS; SPECTRAL SPACES; STOCHASTIC KINETICS; STREAMFUNCTIONS; SUBGRID SCALE; UNSOLVED PROBLEMS;

BACKSCATTERING; ELECTRON ENERGY LOSS SPECTROSCOPY; ENERGY DISSIPATION; KINETIC ENERGY; SPECTROSCOPY; WEATHER FORECASTING;

STOCHASTIC MODELS;

CLIMATE PREDICTION; ENSEMBLE FORECASTING; FORECASTING METHOD; KINETIC ENERGY; NUMERICAL MODEL; PARAMETERIZATION; WEATHER FORECASTING;

EID: 69849107882     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/2008JAS2677.1     Document Type: Article

References (44)

1. Barkmeijer, J., R. Buizza, T. N. Palmer, K. Puri, and J.-F. Mahfouf, 2001: Tropical singular vectors computed with linearized diabatic physics. Quart. J. Roy. Meteor. Soc., 127, 685-708.
2. Berner, J., 2005: Linking nonlinearity and non-Gaussianity of planetary wave behavior by the Fokker-Planck equation. J. Atmos. Sci., 62, 2098-2117.
3. Berner, J., F. J. Doblas-Reyes, T. N. Palmer, G. Shutts, and A. Weisheimer, 2008: Impact of a quasi-stochastic cellular automaton backscatter scheme on the systematic error and seasonal prediction skill of a global climate model. Philos. Trans. Roy. Soc., 366A, 2561-2579.
4. Buizza, R., and T. Palmer, 1995: The singular-vector structure of the atmospheric global circulation. J. Atmos. Sci., 52, 1434-1456.
5. Buizza, R., M. Miller, and T. N. Palmer, 1999: Stochastic representation of model uncertainties in the ECMWF ensemble prediction system. Quart. J. Roy. Meteor. Soc., 125, 2887-2908.
6. Buizza, R., P. L. Houtekamer, Z. Toth, G. Pellerin, M. Wei, and Y. Zhu, 2005: A comparison of the ECMWF, MSC, and NCEP global ensemble prediction systems. Mon. Wea. Rev., 133, 1076-1097.
7. Frederiksen, J. S., and A. G. Davies, 1997: Eddy viscosity and stochastic backscatter parameterizations on the sphere for atmospheric circulation models. J. Atmos. Sci., 54, 2475-2492.
8. Frederiksen, J. S., and A. G. Davies, 2004: The regularized DIA closure for two-dimensional turbulence. Geophys. Astrophys. Fluid Dyn., 98, 203-223.
9. Frederiksen, J. S., and S. M. Kepert, 2006: Dynamical subgrid-scale parameterizations from direct numerical simulations. J. Atmos. Sci., 63, 3006-3019.
10. Hamilton, K., R. J. Wilson, J. Mahlman, and L. Umscheid, 1995: Climatology of the SKYHI troposphere-stratosphere-mesosphere general circulation model. J. Atmos. Sci., 52, 5-43.
11. Jolliffe, I., and D. Stephenson, 2003: Forecast Verification: A Practitioner's Guide in Atmospheric Science. Wiley, 240 pp.
12. Katz, R. W., and A. H. Murphy, Eds., 1997: Economic Value of Weather and Climate Forecasts. Cambridge University Press, 222 pp.
13. Koshyk, J. N., and K. Hamilton, 2001: The horizontal kinetic energy spectrum and spectral budget simulated by a high-resolution troposphere stratosphere mesosphere GCM. J. Atmos. Sci., 58, 329-348.
14. Leith, C. E., 1978: Objective methods for weather prediction. Annu. Rev. Fluid Mech., 10, 107-128.
15. Leutbecher, M., and T. N. Palmer, 2008: Ensemble forecasting. J. Comput. Phys., 227, 3515-3539.
16. Lilly, D. K., 1983: Stratified turbulence and the mesoscale variability of the atmosphere. J. Atmos. Sci., 40, 749-761.
17. Lin, J. W.-B., and J. D. Neelin, 2002: Considerations for stochastic convective parameterization. J. Atmos. Sci., 59, 959-975.
18. Lorenz, E. N., 1963: Deterministic nonperiodic flow. J. Atmos. Sci., 20, 130-141.
19. Lorenz, E. N., 1969: The predictability of a flow which possesses many scales of motion. Tellus, 21, 289-307.
20. Mason, P., and D. Thomson, 1992: Stochastic backscatter in large-eddy simulations of boundary layers. J. Fluid Mech., 242, 51-78.
21. Molteni, F., and T. N. Palmer, 1993: Predictability and finite-time instability of the northern winter circulation. Quart. J. Roy. Meteor. Soc., 119, 269-298.
22. Nastrom, G., and K. Gage, 1985: A climatology of atmospheric wavenumber spectra of wind and temperature observed by commercial aircraft. J. Atmos. Sci., 42, 950-960.
23. Palmer, T. N., 2001: A nonlinear dynamical perspective on model error: A proposal for nonlocal stochastic-dynamic parametrization in weather and climate prediction models. Quart. J. Roy. Meteor. Soc., 127, 279-304.
24. Palmer, T. N., R. Buizza, R. Hagedorn, A. Lawrence, M. Leutbecher, and L. Smith, 2006: Ensemble prediction: A pedagogical perspective. ECMWF Newsletter, No. 106, ECMWF, Reading, United Kingdom, 10-17.
25. Penland, C., 2003a: Noise out of chaos and why it won't go away. Bull. Amer. Meteor. Soc., 84, 921-925.
26. Penland, C., 2003b: A stochastic approach to nonlinear dynamics: A review. Bull. Amer. Meteor. Soc., 84, ES43-ES51.
27. Puri, K., J. Barkmeijer, and T. N. Palmer, 2001: Ensemble prediction of tropical cyclones using targeted diabatic singular vectors. Quart. J. Roy. Meteor. Soc., 127, 709-731.
28. Rodwell, M., 2006: Comparing and combining deterministic and ensemble forecasts: How to predict rainfall occurrence better. ECMWF Newsletter, No. 106, ECMWF, Reading, United Kingdom, 17-23.
29. Rotunno, R., and C. Snyder, 2008: A generalization of Lorenz's model for the predictability of flows with many scales of motion. J. Atmos. Sci., 65, 1063-1076.
30. Roulston, M. S., and L. Smith, 2002: Evaluating probabilistic forecasts using information theory. Mon. Wea. Rev., 130, 1653-1660.
31. Saetra, O., H. Hersbach, J.-R. Bidlot, and D. Richardson, 2004: Effects of observation errors on the statistics for ensemble spread and reliability. Mon. Wea. Rev., 132, 1487-1501.
32. Sardeshmukh, P., C. Penland, and M. Newman, 2001: Rossby waves in a fluctuating medium. Stochastic Climate Models, P. Imkeller and J. S. von Storch, Eds., Vol. 49, Progress in Probability, Birkäuser Verlag, 369-384.
33. Schubert, W., J. Hack, P. L. Silva Dias, and S. Fulton, 1980: Geostrophic adjustment in an axisymmetric vortex. J. Atmos. Sci., 37, 1464-1484.
34. Shutts, G. J., 2005: A kinetic energy backscatter algorithm for use in ensemble prediction systems. Quart. J. Roy. Meteor. Soc., 612, 3079-3102.
35. Shutts, G. J., 2008: The forcing of large-scale waves in an explicit simulation of deep tropical convection. Dyn. Atmos. Oceans, 45, 1-25.
36. Shutts, G. J., and M. E. B. Gray, 1994: A numerical modelling study of the geostrophic adjustment following deep convection. Quart. J. Roy. Meteor. Soc., 120, 1145-1178.
37. Shutts, G. J., and T. N. Palmer, 2007: Convective forcing fluctuations in a cloud-resolving model: Relevance to the stochastic parameterization problem. J. Climate, 20, 187-202.
38. Skamarock, W. C., 2004: Evaluating mesoscale NWP models using kinetic energy spectra. Mon. Wea. Rev., 132, 3019-3032.
39. Steinheimer, M., M. Hantel, and P. Bechtold, 2007: Convection in Lorenz's global energy cycle with the ECMWF model. ECMWF Tech. Memo 545, 39 pp. [Available online at http://www.ecmwf.int/publications/.]
40. Tompkins, A. M., and J. Berner, 2008: A stochastic convective approach to account for model uncertainity due to unresolved humidity variability. J. Geophys. Res., 113, D18101, doi:10.1029/ 2007JD009284.
41. Toth, Z., and E. Kalnay, 1993: Ensemble forecasting at NMC: The generation of perturbations. Bull. Amer. Meteor. Soc., 74, 2317-2330.
42. Tribbia, J. J., and D. P. Baumhefner, 2004: Scale interactions and atmospheric predictability: An updated perspective. Mon. Wea. Rev., 132, 703-713.
43. von Storch, H., and F. Zwiers, 1999: Statistical Analysis in Climate Research. Cambridge University Press, 494 pp.
44. Wilks, D. S., 1997: Resampling hypothesis tests for autocorrelated fields. J. Climate, 10, 65-82.