Hydrologic Synthesis Using Entropy Theory: Review
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An entropy theory, comprising the Shannon entropy, the principle of maximum entropy, and the concentration theorem, has been applied in recent years to a wide range of problems in hydrology. From a hydrologic point of view, the applications can be organized into three classes: (1) physical, (2) statistical, and (3)mixed. This study focuses on the physical applications of the entropy theory, wherein the theory is coupled with the laws of mathematical physics and solutions are derived either in a time or space domain rather than the frequency domain. It is shown that a general framework can be developed to derive solutions to a wide range of seemingly disparate problems. The theory seems to have much potential that remains yet to be fully exploited. 2011 American Society of Civil Engineers.