411 pages, 25 colour & 37 b/w illustrations, 15 tables
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.
Part A: Hydrologic Systems and Modeling
- Characteristics of hydrologic systems and processes
- Conventional linear stochastic time series methods
- Modern nonlinear time series methods
Part B: Nonlinear dynamics and chaos
- Identification of chaos
- Prediction of chaos
Part C: Applications of chaos theory in hydrology
- Applications to rainfall data
- Applications to river flow data
- Applications to other hydrologic data
- Studies on related problems
Part D: A look ahead
- Current status
- The future
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Bellie Sivakumar received his Bachelor's degree in Civil Engineering from Bharathiar University (India) in 1992, Master's degree in Hydrology and Water Resources Engineering from Anna University (India) in 1994, and Ph.D. degree in Civil Engineering from the National University of Singapore in 1999. After a one-year post-doctoral research at the University of Arizona, Tucson, USA, he joined University of California, Davis (UCDavis). At UCDavis, he held the positions of postgraduate researcher and Associate Project, and now holds an Associate position. He joined the University of New South Wales, Sydney, Australia in 2010, where he is currently an Associate Professor. Bellie Sivakumar's research interests are in the field of hydrology and water resources, with particular emphasis on nonlinear dynamics, chaos, scaling, and complex networks. He has authored one book and more than 130 peer-reviewed journal papers. He has been an Associate Editor for several journals, including Hydrological Sciences Journal, Journal of Hydrology, Journal of Hydrologic Engineering, and Stochastic Environmental Research and Risk Assessment. He has received a number of fellowships throughout his career, including the ICSC World Laboratory Fellowship, Japan Society for the Promotion of Science Fellowship, Korea Science and Technology Societies' Brainpool Fellowship, and Australian Research Council Future Fellowship.