A Guide to Empirical Orthogonal Functions for Climate Data by Antonio Navarra, Valeria Simoncini

By Antonio Navarra, Valeria Simoncini

Climatology and meteorology have essentially been a descriptive technology until eventually it grew to become attainable to exploit numerical types, however it is important to the good fortune of the method that the version has to be a great illustration of the true weather process of the Earth. versions are required to breed not just the suggest homes of weather, but in addition its variability and the robust spatial kinfolk among weather variability in geographically various areas. Quantitative strategies have been constructed to discover the weather variability and its kinfolk among assorted geographical destinations. equipment have been borrowed from descriptive facts, the place they have been constructed to research variance of similar observations-variable pairs, or to spot unknown family among variables.

A consultant to Empirical Orthogonal features for weather info research makes use of a distinct method, attempting to introduce the reader to a realistic software of the tools, together with info units from weather simulations and MATLAB codes for the algorithms. All photographs and examples utilized in the e-book can be reproduced through the use of the knowledge units and the exercises to be had within the booklet .

Though the most thrust of the publication is for climatological examples, the remedy is adequately normal that the dialogue can be beneficial for college students and practitioners in different fields.

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Extra info for A Guide to Empirical Orthogonal Functions for Climate Data Analysis

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The Z500 set is a very good indicator of upper air flow, since the horizontal wind is predominantly aligned along the geopotential isolines. 1 shows a few examples taken from the data set. It is possible to note the large variability from one month to the other (top panels), but also the large variability at the same point, as the time series for the entire series (lower panels) show. It is clear that the geopotential at 500 mb is characterized by intense variability in space and time and a typical month may be as different from the next month as another one chosen at random.

The interpretation of the EOF is provided by the terms of variance explained and recurrent patterns, 50 4 Empirical Orthogonal Functions but if a viable interpretation has to be found, it must rely on a robust determination of the pattern themselves. The SVD algorithm is robust and reliable algorithm, so we are not really concerned with mathematical and/or numerical sensitivities, but with sensitivities deriving from the other possible choices that we can tackle in the definition of the problem itself.

We can also see from the spectrum (Fig. 4) that the vast majority of the modes correspond to very small eigenvalues, contributing very little to the total variance. In fact the cumulative variance expressed by the first m modes (bottom of Fig. 1% 0 0 03 −0. 6% 1 30° N 0 0 0 0. 01 30° N 90° S 0° 90° N 0 0 EOF Mode 8 0 04 0. 01 90° N EOF Mode 7 0 60° E 120° E 180° E 120° W 60° W 0 0° Fig. 6 Empirical Orthogonal Functions (EOF) for the Z500 data set. Here are shown the first 7–17 modes and the amount of variance explained by each mode.

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