Spatial Correlation of the 24-Hour ECMWF Forecast Error

Juhani Rinne Department of Meteorology, University of Helsinki, Helsinki, Finland

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Simo Járvenoja The HIRLAM Project, The Danish Meteorological Institute, Copenhagen, Denmark

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Abstract

The spatial autocorrelation of the error of the ECMWF 24-h forecast of 500 mb geopotential height during 1980–83, hereafter referred to as the “forecast error,” is studied. The leading EOF of the forecast error describes a “teleconnection” between the Himalayas and the Pacific/European sector. The third EOF resembles the analysis error. Approximations for the isotropic part of the autocorrelation are presented. They consist of two source terms having different spatial scales. A “random-like” term could be due to model errors in baroclinic processes or to random analysis errors. A “scale-dependent” term could be due to model errors in barotropic processes and over mountain areas, or to analysis errors over data-sparse areas or mountains. The terms do not contribute uniformly. The “scale-dependent” term is strongest over mountains The relative contribution of that term decreased from forecasts of 1980–81 to those of 1982–83.

Abstract

The spatial autocorrelation of the error of the ECMWF 24-h forecast of 500 mb geopotential height during 1980–83, hereafter referred to as the “forecast error,” is studied. The leading EOF of the forecast error describes a “teleconnection” between the Himalayas and the Pacific/European sector. The third EOF resembles the analysis error. Approximations for the isotropic part of the autocorrelation are presented. They consist of two source terms having different spatial scales. A “random-like” term could be due to model errors in baroclinic processes or to random analysis errors. A “scale-dependent” term could be due to model errors in barotropic processes and over mountain areas, or to analysis errors over data-sparse areas or mountains. The terms do not contribute uniformly. The “scale-dependent” term is strongest over mountains The relative contribution of that term decreased from forecasts of 1980–81 to those of 1982–83.

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