1969
DOI: 10.1002/qj.49709540510
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Eigenvectors for representing the 500 mb geopotential surface over the Northern Hemisphere

Abstract: SUMMARYA set of empirical orthogonal functions is produced which enable the large-scale features of the 500 mb topography over the Northern Hemisphere to be represented with near optimal efficiency. The more important functions are described. Some of the properties of the coefficients of these functions which best represent the 500 mb charts for each day of the years 1965 to 1967 are summarized. The question of the number of functions required to obtain the most satisfactory representation of the 500 mb fields… Show more

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Cited by 165 publications
(84 citation statements)
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“…As the first six unrotated principal components (PCs), shown in Figure 2(a) and (b), give similar patterns for all the groups analysed, they were regarded as different from noisy solutions. Two other different tests are applied: LEV diagrams, which consist of successive logeigenvalues arranged in monotonically decreasing order (Craddock and Flood, 1969) and the Kaiser (1958) test, which selects only those components with eigenvalues exceeding 1.0. Both tests (not shown here) determine that at least the first six PCs represent significant information.…”
Section: Methodsmentioning
confidence: 99%
“…As the first six unrotated principal components (PCs), shown in Figure 2(a) and (b), give similar patterns for all the groups analysed, they were regarded as different from noisy solutions. Two other different tests are applied: LEV diagrams, which consist of successive logeigenvalues arranged in monotonically decreasing order (Craddock and Flood, 1969) and the Kaiser (1958) test, which selects only those components with eigenvalues exceeding 1.0. Both tests (not shown here) determine that at least the first six PCs represent significant information.…”
Section: Methodsmentioning
confidence: 99%
“…Since the first few components explain most of the variance of the original dataset, truncation rules are used to identify which of the subsequent components, order by variance explained, may be discarded. In this analysis, a combination of the logarithmic eigenvalue plot (Craddock and Flood, 1969), the Monte Carlo technique of Overland and Preisendorfer (1982) and a subjective criteria, that the components be readily interpretable, were used to identify whether the components should be retained. The unrotated solutions were then subjected to Varimax orthogonal and Harris-Kaiser (H-K) II oblique rotations, and the solutions compared using simple structure plots (Richman, 1986) and coefficients of congruence (White et al, 1991). 3.1.4.…”
Section: Synoptic Classificationmentioning
confidence: 99%
“…Correlation matrices are used as the dispersion matrices for the PCA to weight the input variables evenly, and the resulting PCs are rotated using (orthogonal) Varimax rotation (Richman, 1986;Bonell and Sumner, 1992;Brinkmann, 1999a). The number of PCs to retain for rotation and interpretation is evaluated using a number of methods, including scree plots (Catell, 1966), logarithmic eigenvalue plots (Craddock and Flood, 1969) and statistical tests, such as the N rule (Overland and Preisendorfer, 1982). The resulting PC scores are then clustered to produce synoptic weather types using a hierarchical, agglomerative algorithm followed by a non-hierarchical 'reassigning' algorithm (Davis and Kalkstein, 1990).…”
Section: Development Of the Synoptic Classificationsmentioning
confidence: 99%