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A series of experimental integrations of a hemispheric spectral barotropic model using different spectral truncations is described. The results indicate that truncation errors vary as N‐α, where α = 1.4 and N is the wave number of the resolution. However, it is also suggested that spectrum truncation error should probably be regarded as an assumption about a physical process rather than as a purely mathematical approximation.
Philip E. Merilees (1972) studied this question.