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 is discussed.
SUMMARYRepresentative annual rainfall totals, expressed as percentages of appropriate standards, are given for most of the years from 1725 to the present for each of 1 1 regions covering most of England. The evidence for these values is discussed, and their relationships examined as groundwork for the production of long series of monthly rainfall totals for regions covering almost the whole of Great Britain.
Summary
The reduction of the dimensionality of the problem of long range weather forecasting is discussed. Mention is made of the significant advances in the application of eigenvector techniques in meteorology. The characteristic form of the relationship between the eigenvalues found from large meteorological covariance matrices is discussed, and a reasonable interpretation is advanced. The statistical problems delaying further meteorological exploitation of eigenvector techniques are outlined.
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