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Which is better, an ensemble of positive-negative pairs or a centered spherical simplex ensemble?

[...]it is superior to the spherical simplex centering that only provides second- order accuracy. The spherical simplex ETKF ensemble variance resolved a significantly larger range of sample innovation variance than the paired ETKF for 1- and 2-day forecast lead times. Because the spherical simplex...

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Bibliographic Details
Published in:Monthly weather review 2004-07, Vol.132 (7), p.1590-1605
Main Authors: XUGUANG WANG, BISHOP, Craig H, JULIER, Simon J
Format: Article
Language:English
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Summary:[...]it is superior to the spherical simplex centering that only provides second- order accuracy. The spherical simplex ETKF ensemble variance resolved a significantly larger range of sample innovation variance than the paired ETKF for 1- and 2-day forecast lead times. Because the spherical simplex ETKF initial perturbations were generated by simply postmultiplying the one-sided ETKF initial perturbations by a (K 2 1) 3 K matrix (section 2c), where K equals the number of perturbed members, the computational expense of generating the spherical simplex ETKF ensemble is about the same as that of generating the symmetric positive- negative paired ETKF ensemble.
ISSN:0027-0644
1520-0493
DOI:10.1175/1520-0493(2004)132<1590:wibaeo>2.0.co;2