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Entropy 2014, 16(3), 1365-1375;

Ensemble Entropy for Monitoring Network Design

Hydroinformatics Chair Group, UNESCO-IHE, Westvest 7, Delft 2611AX, The Netherlands
Dipartimento di Ingegneria Civile, Edile e Ambientale, Sapienza Università di Roma, Rome 00184, Italy
H2CU-Honors Center of Italian Universities, Sapienza Università di Roma, Rome 00184, Italy
Deltares, Rotterdamseweg185, Delft 2629 HD, The Netherlands
Author to whom correspondence should be addressed.
Received: 21 January 2014 / Revised: 25 February 2014 / Accepted: 26 February 2014 / Published: 4 March 2014
(This article belongs to the Special Issue Entropy in Hydrology)
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Information-theory provides, among others, conceptual methods to quantify the amount of information contained in single random variables and methods to quantify the amount of information contained and shared among two or more variables. Although these concepts have been successfully applied in hydrology and other fields, the evaluation of these quantities is sensitive to different assumptions in the estimation of probabilities. An example is the histogram bin size used to estimate probabilities to calculate Information Theory quantities via frequency methods. The present research aims at introducing a method to take into consideration the uncertainty coming from these parameters in the evaluation of the North Sea’s water level network. The main idea is that the entropy of a random variable can be represented as a probability distribution of possible values, instead of entropy being a deterministic value. The method consists of solving multiple scenarios of Multi-Objective Optimization Problem in which information content is maximized and redundancy is minimized. Results include probabilistic analysis of the chosen parameters on the resulting family of Pareto fronts, providing additional criteria on the selection of the final set of monitoring points. View Full-Text
Keywords: entropy; monitoring networks; uncertainty; multi-objective optimization; North Sea entropy; monitoring networks; uncertainty; multi-objective optimization; North Sea

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This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Alfonso, L.; Ridolfi, E.; Gaytan-Aguilar, S.; Napolitano, F.; Russo, F. Ensemble Entropy for Monitoring Network Design. Entropy 2014, 16, 1365-1375.

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