Evaluation of Rainfall Networks Using Entropy: I. Theoretical Development
Author: P. F. KRSTANOVIC, | Size: 760 KB | Format: PDF | Quality: Unspecified | Publisher: Springer | Year: 1992 | pages: 15
This paper, the first in a series of two, develops an entropy-based approach for evaluating
rainfall networks. Space and time dependencies between raingages are examined by autocovariance
and cross-covariance matrices. Multivariate distributions, associated with different dependencies, are
obtained using the principle of maximum entropy (POME). Formulas for entropy (uncertainty in data
of one raingage), joint entropy (uncertainty in data of two or more raingages) and transinformation
(common information content among two or more raingages) are derived for each distribution, based
on normal data. The decision whether to keep or eliminate a raingage depends entirely on reduction
or gain of information at that raingage. The lines of equal information (isoinformation contours are
defined by considering two raingages (bivariate case) and many raingages (multivariate case).
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