1. Introduction .-- 2. Elements of Linear Algebra .-- 3. Basic Statistical Concepts.-- 4. Empirical Orthogonal Functions.-- 5. Generalizations: Rotated, Complex, Extended and Combined EOF.-- 6. Cross-covariance and the Singular Value Decomposition.-- 7. The Canonical Correlation Analysis.-- 8. Multiple Linear Regression Methods.-- Bibliography.-- Index
Summary
Climatology and meteorology have basically been a descriptive science until it became possible to use numerical models, but it is crucial to the success of the strategy that the model must be a good representation of the real climate system of the Earth. Models are required to reproduce not only the mean properties of climate, but also its variability and the strong spatial relations between climate variability in geographically diverse regions. Quantitative techniques were developed to explore the climate variability and its relations between different geographical locations. Methods were bor