Entropy in the assessment of uncertainty in hydrologic systems and models

作者: J. Amorocho , B. Espildora

DOI: 10.1029/WR009I006P01511

关键词: Conditional entropyPrinciple of maximum entropyInformation theoryMaximum entropy spectral estimationEntropy (information theory)Binary entropy functionMathematical optimizationJoint entropyMathematicsInformation diagram

摘要: In the representation of natural catchment systems with mathematical models, a relatively wide range choice exists among models various degrees completeness and sophistication. When cost, as well appropriateness, model is considered for particular purpose, it desirable to have an objective criterion make this selection. The concept entropy used in information theory provides one such criterion. Entropy measure degree uncertainty outcome process; therefore, dealing prediction hydrologie variable streamflow, can compute from historical data thus characterize unexpectedness or variability inherent process. This represents property system called marginal entropy. It likewise possible evaluate predictions made by given comparing these measured flow. done through conditional By combination two functions ‘transinformation,’ providing evaluation goodness model, obtained. important point note that assessment depends not only on but characteristics output series resulting above criteria, which been discussed other contexts, were applied basin number years flow record concurrent simulations available. results show value judging performance difficulties limitations method.

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