publication . Article . 2011

Correlation of spatial climate/weather maps and the advantages of using the Mahalanobis metric in predictions

David B. Stephenson;
Open Access English
  • Published: 30 Dec 2011 Journal: Tellus A (issn: 1600-0870, eissn: 0280-6495, Copyright policy)
  • Publisher: Co-Action Publishing
he skill in predicting spatially varying weather/climate maps depends on the definition of the measure of similarity between the maps. Under the justifiable approximation that the anomaly maps are distributed multinormally, it is shown analytically that the choice of weighting metric, used in defining the anomaly correlation between spatial maps, can change the resulting probability distribution of the correlation coefficient. The estimate of the numbers of degrees of freedom based on the variance of the correlation distribution can vary from unity up to the number of grid points depending on the choice of weighting metric. The (pseudo-) inverse of the sample co...
free text keywords: Atmospheric Science, Oceanography, Skewness, Correlation coefficient, Bivariate analysis, Weighting, Statistics, Covariance matrix, Probability distribution, Outlier, Mathematics, Kurtosis
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