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Rhomboidal versus triangular spherical harmonic truncation: Some verification statistics
Authors:Roger Daley  Yvon Bourassa
Institution:Recherche en Prévision Numérique , Service de l'environnement atmosphérique , Dorval, Québec
Abstract:Abstract

In the construction of global primitive equation models, based on the spherical harmonic method, two forms of truncation are in general use. Theoretical considerations suggest the triangular truncation method is superior, but the easily coded rhomboidal truncation is more commonly used. A verification experiment employing the Canadian Operational Spectral Model has been performed to determine if the theoretical superiority of the triangular truncation can be realized in practice. It was found that at least in the restricted case of extra‐tropical forecasts of less than 48 h, that the two truncation methods produced forecasts of equivalent accuracy.
Keywords:carbon dioxide  Holocene  Anthropocene  early anthropogenic hypothesis  pre-industrial agriculture  land-use change  global carbon cycle
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