A Component-Resampling Approach for Estimating Probability Distributions from Small Forecast Ensembles
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In many meteorological and climatological modeling applications, the availability of ensembles of predictions containing very large numbers of members would substantially ease statistical analyses and validations. This study describes and demonstrates an objective approach for generating large ensembles of “additional” realizations from smaller ensembles, where the additional ensemble members share important first-and second-order statistical characteristics and some dynamic relations within the original ensemble. By decomposing the original ensemble members into assuredly independent time-series components (using a form of principal component decomposition) that can then be resampled randomly and recombined, the component-resampling procedure generates additional time series that follow the large and small scale structures in the original ensemble members, without requiring any tuning by the user. The method is demonstrated by applications to operational medium-range weather forecast ensembles from a single NCEP weather model and application to a multi-model, multi-emission-scenarios ensemble of 21st Century climate-change projections.
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- Blyth, T. S. and Robertson, E. F.: 2002, Basic Linear Algebra, Springer, New York, 232 p.Google Scholar
- Dettinger, M. D., Battisti, D. S., Garreaud, R. D., McCabe, G. J., and Bitz, C. M.: 2001, ‘Interhemispheric Effects of Interannual and Decadal ENSO-like Climate Variations on the Americas’, in V. Markgraf (ed.), Interhemispheric Climate Linkages, Academic Press, San Diego, pp. 1–16.Google Scholar
- Ghil, M. and Childress, S.: 1987, Topics In Geophysical Fluid Dynamics – Atmospheric Dynamics, Dynamo Theory, and Climate Dynamics, Springer-Verlag, New York, 485 p.Google Scholar
- Hayhoe, K., Cayan, D., Field, C., Frumhoff, P., Maurer, E., Miller, N., Moser, S., Schneider, S., Cahill, K., Cleland, E., Dale, L., Drapek, R., Hanneman, R. M., Kalkstein, L., Lenihan, L., Lunch, C., Neilson, R., Sheridan, S., and Verville, J.: 2004, ‘Emissions pathways, climate change, and impacts on California’, Proc., National Academy of Sciences 101, 12422–12427.Google Scholar
- Houghton and others (eds.): 2001, Climate Change 2001 – The Scientific Basis, Cambridge University Press, 525–582.Google Scholar
- Jeton, A. E., Dettinger, M. D., and Smith, J. L.: 1996, Potential Effects of Climate Change on Streamflow, Eastern and Western Slopes of the Sierra Nevada, California and Nevada, U.S. Geological Survey Water Resources Investigations Report 95 – 4260, 44 p.Google Scholar
- Stewart, I., Cayan, D. R., and Dettinger, M. D.: 2004, ‘Changes in snowmelt runoff timing in western north america under a ‘Business As Usual’ climate change scenario’, Climatic Change, 15 p.Google Scholar
- Toth, Z., Talagrand, O., Candille, G., and Zhu, Y.: 2003, ‘Probability and ensemble forecasts’, in I. T. Jolliffe and D. B. Stephenson (eds.), Forecast Verification – A Practitioner's Guide in Atmospheric Science John Wiley & Sons, San Francisco, pp. 137–164.Google Scholar
- Von Storch, H. and Zwiers, F. W.: 2002, Statistical Analysis in Climate Research, Cambridge University} Press, New York, 494 p.Google Scholar