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This authoritative book presents a comprehensive account of the essential roles of nonlinear dynamic and chaos theories in understanding, modeling, and forecasting hydrologic systems. This is done through a systematic presentation of: (1) information on the salient characteristics of hydrologic systems and on the existing theories for their modeling; (2) the fundamentals of nonlinear dynamic and chaos theories, methods for chaos identification and prediction, and associated issues; (3) a review of the applications of chaos theory in hydrology; and (4) the scope and potential directions for the future. This book bridges the divide between the deterministic and the stochastic schools in hydrology, and is well suited as a textbook for hydrology courses.

Hydrology/Water Resources. --- Civil Engineering. --- Geotechnical Engineering & Applied Earth Sciences. --- Statistical Physics and Dynamical Systems. --- Earth sciences. --- Hydrology. --- Hydrogeology. --- Geotechnical engineering. --- System theory. --- Civil engineering. --- Earth Sciences. --- Complex Systems. --- Aquatic sciences --- Earth sciences --- Hydrography --- Water --- Hydraulic engineering. --- Statistical physics. --- Physics --- Mathematical statistics --- Engineering --- Public works --- Engineering, Hydraulic --- Fluid mechanics --- Hydraulics --- Shore protection --- Statistical methods --- Dynamical systems. --- Engineering, Geotechnical --- Geotechnics --- Geotechnology --- Engineering geology --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Geohydrology --- Geology --- Hydrology --- Groundwater

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Entropy theory has wide applications to a range of problems in the fields of environmental and water engineering, including river hydraulic geometry, fluvial hydraulics, water monitoring network design, river flow forecasting, floods and droughts, river network analysis, infiltration, soil moisture, sediment transport, surface water and groundwater quality modeling, ecosystems modeling, water distribution networks, environmental and water resources management, and parameter estimation. Such applications have used several different entropy formulations, such as Shannon, Tsallis, Reacutenyi Burg, Kolmogorov, Kapur, configurational, and relative entropies, which can be derived in time, space, or frequency domains. More recently, entropy-based concepts have been coupled with other theories, including copula and wavelets, to study various issues associated with environmental and water resources systems. Recent studies indicate the enormous scope and potential of entropy theory in advancing research in the fields of environmental and water engineering, including establishing and explaining physical connections between theory and reality. The objective of this Special Issue is to provide a platform for compiling important recent and current research on the applications of entropy theory in environmental and water engineering. The contributions to this Special Issue have addressed many aspects associated with entropy theory applications and have shown the enormous scope and potential of entropy theory in advancing research in the fields of environmental and water engineering.

hydrological risk analysis --- modeling --- water level --- Poyang Lake basin --- trend --- composite multiscale sample entropy --- flood frequency analysis --- canopy flow --- precipitation --- water resources --- complex systems --- frequency analysis --- optimization --- combined forecast --- neural network forecast --- entropy spectral analysis time series analysis --- environmental engineering --- hydrometric network --- sea surface temperature --- kernel density estimation --- robustness --- turbulent flow --- entropy production --- connection entropy --- flux concentration relation --- turbulence --- tropical rainfall --- generalized gamma (GG) distribution --- multi-events --- El Niño --- joint entropy --- entropy weighting method --- Anhui Province --- changing environment --- complexity --- multiplicative cascades --- Tsallis entropy --- Hexi corridor --- coherent structures --- water resources vulnerability --- uncertainty --- variability --- flow entropy --- Hei River basin --- fuzzy analytic hierarchy process --- substitute --- crop yield --- conditional entropy production --- entropy --- flow duration curve --- mean annual runoff --- temperature --- hydrometeorological extremes --- resilience --- Loess Plateau --- information entropy --- scaling --- water distribution networks --- cross entropy --- randomness --- forewarning model --- entropy applications --- quaternary catchment --- spatio-temporal variability --- probability distribution function --- ant colony fuzzy clustering --- radar --- continuous probability distribution functions --- Shannon entropy --- informational entropy --- information --- confidence intervals --- marginal entropy --- rainfall forecast --- entropy of information --- streamflow --- power laws --- bootstrap aggregating --- maximum entropy-copula method --- spatial and dynamics characteristic --- projection pursuit --- set pair analysis --- entropy theory --- water resource carrying capacity --- entropy parameter --- precipitation frequency analysis --- principle of maximum entropy --- information theory --- stochastic processes --- network design --- complement --- cross elasticity --- climacogram --- methods of moments --- hydrology --- bagging --- principle of maximum entropy (POME) --- rainfall network --- entropy ensemble filter --- ensemble model simulation criterion --- Lagrangian function --- Beta-Lognormal model --- cross-entropy minimization --- ANN --- configurational entropy --- variation of information --- statistical scaling --- EEF method --- water monitoring --- maximum likelihood estimation --- GB2 distribution --- NDVI --- four-parameter exponential gamma distribution --- hydraulics --- spatial optimization --- Kolmogorov complexity --- bootstrap neural networks --- mutual information --- accelerating genetic algorithm --- groundwater depth --- rainfall --- tropical Pacific --- water engineering --- monthly streamflow forecasting --- ENSO --- nonlinear relation --- Bayesian technique --- non-point source pollution --- Burg entropy --- data-scarce --- scaling laws --- soil water content --- arid region --- land suitability evaluation --- information transfer

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Entropy theory has wide applications to a range of problems in the fields of environmental and water engineering, including river hydraulic geometry, fluvial hydraulics, water monitoring network design, river flow forecasting, floods and droughts, river network analysis, infiltration, soil moisture, sediment transport, surface water and groundwater quality modeling, ecosystems modeling, water distribution networks, environmental and water resources management, and parameter estimation. Such applications have used several different entropy formulations, such as Shannon, Tsallis, Reacutenyi Burg, Kolmogorov, Kapur, configurational, and relative entropies, which can be derived in time, space, or frequency domains. More recently, entropy-based concepts have been coupled with other theories, including copula and wavelets, to study various issues associated with environmental and water resources systems. Recent studies indicate the enormous scope and potential of entropy theory in advancing research in the fields of environmental and water engineering, including establishing and explaining physical connections between theory and reality. The objective of this Special Issue is to provide a platform for compiling important recent and current research on the applications of entropy theory in environmental and water engineering. The contributions to this Special Issue have addressed many aspects associated with entropy theory applications and have shown the enormous scope and potential of entropy theory in advancing research in the fields of environmental and water engineering.

hydrological risk analysis --- modeling --- water level --- Poyang Lake basin --- trend --- composite multiscale sample entropy --- flood frequency analysis --- canopy flow --- precipitation --- water resources --- complex systems --- frequency analysis --- optimization --- combined forecast --- neural network forecast --- entropy spectral analysis time series analysis --- environmental engineering --- hydrometric network --- sea surface temperature --- kernel density estimation --- robustness --- turbulent flow --- entropy production --- connection entropy --- flux concentration relation --- turbulence --- tropical rainfall --- generalized gamma (GG) distribution --- multi-events --- El Niño --- joint entropy --- entropy weighting method --- Anhui Province --- changing environment --- complexity --- multiplicative cascades --- Tsallis entropy --- Hexi corridor --- coherent structures --- water resources vulnerability --- uncertainty --- variability --- flow entropy --- Hei River basin --- fuzzy analytic hierarchy process --- substitute --- crop yield --- conditional entropy production --- entropy --- flow duration curve --- mean annual runoff --- temperature --- hydrometeorological extremes --- resilience --- Loess Plateau --- information entropy --- scaling --- water distribution networks --- cross entropy --- randomness --- forewarning model --- entropy applications --- quaternary catchment --- spatio-temporal variability --- probability distribution function --- ant colony fuzzy clustering --- radar --- continuous probability distribution functions --- Shannon entropy --- informational entropy --- information --- confidence intervals --- marginal entropy --- rainfall forecast --- entropy of information --- streamflow --- power laws --- bootstrap aggregating --- maximum entropy-copula method --- spatial and dynamics characteristic --- projection pursuit --- set pair analysis --- entropy theory --- water resource carrying capacity --- entropy parameter --- precipitation frequency analysis --- principle of maximum entropy --- information theory --- stochastic processes --- network design --- complement --- cross elasticity --- climacogram --- methods of moments --- hydrology --- bagging --- principle of maximum entropy (POME) --- rainfall network --- entropy ensemble filter --- ensemble model simulation criterion --- Lagrangian function --- Beta-Lognormal model --- cross-entropy minimization --- ANN --- configurational entropy --- variation of information --- statistical scaling --- EEF method --- water monitoring --- maximum likelihood estimation --- GB2 distribution --- NDVI --- four-parameter exponential gamma distribution --- hydraulics --- spatial optimization --- Kolmogorov complexity --- bootstrap neural networks --- mutual information --- accelerating genetic algorithm --- groundwater depth --- rainfall --- tropical Pacific --- water engineering --- monthly streamflow forecasting --- ENSO --- nonlinear relation --- Bayesian technique --- non-point source pollution --- Burg entropy --- data-scarce --- scaling laws --- soil water content --- arid region --- land suitability evaluation --- information transfer