Random Error Growth in NMC's Global Forecasts

Carolyn A. Reynolds Program in Atmospheric and Oceanic Sciences, University of Colorado, Boulder, Colorado

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Peter J. Webster Program in Atmospheric and Oceanic Sciences, University of Colorado, Boulder, Colorado

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Eugenia Kalnay Development Division, National Meteorological Center, NWS/NOAA, Washington, D.C.

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Abstract

The three-dimensional structure of random error growth in the National Meteorological Center's Medium-Range Forecast Model is investigated in an effort to identify the sources of error growth. The random error growth is partitioned into two types: external error growth, which is due to model deficiencies, and internal error growth, which is the self-growth of errors in the initial conditions. Forecasts from winter 1987, summer 1990, and winter 1992 are compared to assess seasonal variations in regional error growth as well as forecast model improvement. The following is found:

  1. In the tropics, large external error growth at the 200-mb level is closely associated with deep convection. There is evidence of significant model improvements in the tropics at the 850-mb level between 1987 and 1992.

  2. The spatial structure of the external error growth in the midlatitudes suggests that the representation of orography in the model, especially over Antarctica and the Rockies, is a significant source of errors.

  3. Internal error growth in the midlatitudes is greater over the Atlantic and European regions than over the Pacific region and appears to be associated with blocking phenomena, especially over the North Atlantic and Europe. The Northern Hemisphere exhibits a seasonal cycle in the magnitude of error growth, but the Southern Hemisphere does not.

The results for the external and internal error growth rates were obtained using a parameterization of the correlation between forecasts and the verifying analyses. The parameterization is based on the assumption that linear random error growth is caused primarily by model deficiencies, and the validity of this assumption is examined. The results suggest that, in the tropics, significant increases in forecast skill may be obtainable through both model and analysis improvement. In the midlatitudes, however, there is less potential for increases in forecast skill through model improvement, and decreasing the analysis error becomes more important. The parameterization yields results that are physically meaningful and in agreement with previous predictability studies, and that provide quantitative estimates of the spatial and temporal distribution of the sources of forecast errors.

Abstract

The three-dimensional structure of random error growth in the National Meteorological Center's Medium-Range Forecast Model is investigated in an effort to identify the sources of error growth. The random error growth is partitioned into two types: external error growth, which is due to model deficiencies, and internal error growth, which is the self-growth of errors in the initial conditions. Forecasts from winter 1987, summer 1990, and winter 1992 are compared to assess seasonal variations in regional error growth as well as forecast model improvement. The following is found:

  1. In the tropics, large external error growth at the 200-mb level is closely associated with deep convection. There is evidence of significant model improvements in the tropics at the 850-mb level between 1987 and 1992.

  2. The spatial structure of the external error growth in the midlatitudes suggests that the representation of orography in the model, especially over Antarctica and the Rockies, is a significant source of errors.

  3. Internal error growth in the midlatitudes is greater over the Atlantic and European regions than over the Pacific region and appears to be associated with blocking phenomena, especially over the North Atlantic and Europe. The Northern Hemisphere exhibits a seasonal cycle in the magnitude of error growth, but the Southern Hemisphere does not.

The results for the external and internal error growth rates were obtained using a parameterization of the correlation between forecasts and the verifying analyses. The parameterization is based on the assumption that linear random error growth is caused primarily by model deficiencies, and the validity of this assumption is examined. The results suggest that, in the tropics, significant increases in forecast skill may be obtainable through both model and analysis improvement. In the midlatitudes, however, there is less potential for increases in forecast skill through model improvement, and decreasing the analysis error becomes more important. The parameterization yields results that are physically meaningful and in agreement with previous predictability studies, and that provide quantitative estimates of the spatial and temporal distribution of the sources of forecast errors.

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