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In search of simple structures in climate: Simplifying EOFs

Hannachi, A., Jolliffe, I. T., Stephenson, D. B. and Trendafilov, N. (2006) In search of simple structures in climate: Simplifying EOFs. International Journal Of Climatology, 26 (1). pp. 7-28. ISSN 0899-8418

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Empirical orthogonal functions (EOFs) are widely used in climate research to identify dominant patterns of variability and to reduce the dimensionality of climate data. EOFs, however, can be difficult to interpret. Rotated empirical orthogonal functions (REOFs) have been proposed as more physical entities with simpler patterns than EOFs. This study presents a new approach for finding climate patterns with simple structures that overcomes the problems encountered with rotation. The method achieves simplicity of the patterns by using the main properties of EOFs and REOFs simultaneously. Orthogonal patterns that maximise variance subject to a constraint that induces a form of simplicity are found. The simplified empirical orthogonal function (SEOF) patterns, being more 'local'. are constrained to have zero loadings outside the main centre of action. The method is applied to winter Northern Hemisphere (NH) monthly mean sea level pressure (SLP) reanalyses over the period 1948-2000. The 'simplified' leading patterns of variability are identified and compared to the leading patterns obtained from EOFs and REOFs. Copyright (C) 2005 Royal Meteorological Society.

Item Type:Article
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
ID Code:5475
Uncontrolled Keywords:principal components simplified empirical orthogonal functions ordinary differential equations gradient methods North Atlantic Oscillation Arctic Oscillation ROSSBY-WAVE PROPAGATION PRINCIPAL COMPONENTS UNCONSTRAINED MINIMIZATION CONSTRAINED OPTIMIZATION TELECONNECTION PATTERNS CIRCULATION PATTERNS ARCTIC OSCILLATION CAUTIONARY NOTE ROTATION CLASSIFICATION

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