Entropy–Copula in Hydrology and Climatology

By Amir Aghakouchak. 2014

83 citations recorded by the source corpus.

AbstractThe entropy theory has been widely applied in hydrology for probability inference based on incomplete information and the principle of maximum entropy. Meanwhile, copulas have been extensively used for multivariate analysis and modeling the dependence structure between hydrologic and climatic variables. The underlying assumption of the principle of maximum entropy is that the entropy variables are mutually independent from each other. The principle of maximum entropy can be combined with the copula concept for describing the probability distribution function of multiple dependent variables and their dependence structure. Recently, efforts have been made to integrate the entropy and copula concepts (hereafter, entropy–copula) in various forms to take advantage of the strengths of both methods. Combining the two concepts provides new insight into the probability inference; however, limited studies have utilized the entropy–copula methods in hydrology and climatology. In this paper, the currently ava...

Subfields: Global and Planetary Change, Water Science and Technology

View Paper: https://www.semanticscholar.org/paper/bd0f8c9e31434458e67755822a5dd419dcede4c6

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Citations in the corpus

Multivariate Copula Analysis Toolbox (MvCAT): Describing dependence and underlying uncertainty using a Bayesian framework (2017, methodology): “The joint return period (RP) is then estimated as [AghaKouchak, 2014]”
Markov chain Monte Carlo simulation using the DREAM software package: Theory, concepts, and MATLAB implementation (2016, background): “This in-1134 cludes regular Archimedean and maximum entropy based copulae (Zhang and Singh, 2012; Aghakouchak, 2014).1136 (II) Diagnostic Bayes.”
Bootstrap rank‐ordered conditional mutual information (broCMI): A nonlinear input variable selection method for water resources modeling (2016, methodology): “…variable computed through the variables’ PDF and it is through the notion of entropy that MI is derived; while copula entropy [Hao and Singh, 2015; AghaKouchak, 2015] is analogous with the negative of MI (please see details within Calsaverini and Vicente [2009], Jian and Zengqi [2011], and Zeng…”