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A note on the analysis error associated with 3D‐FGAT
Author(s) -
Lawless A. S.
Publication year - 2010
Publication title -
quarterly journal of the royal meteorological society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.744
H-Index - 143
eISSN - 1477-870X
pISSN - 0035-9009
DOI - 10.1002/qj.619
Subject(s) - error analysis , scalar (mathematics) , data assimilation , assimilation (phonology) , mathematics , variance (accounting) , simple (philosophy) , statistics , meteorology , geometry , geography , linguistics , philosophy , accounting , epistemology , business
The analysis‐error variance of a 3D‐FGAT assimilation is examined analytically using a simple scalar equation. It is shown that the analysis‐error variance may be greater than the error variances of the inputs. The results are illustrated numerically with a scalar example and a shallow‐water model. Copyright © 2010 Royal Meteorological Society