Chaos in Hydrology: Bridging Determinism and Stochasticity by Bellie Sivakumar

By Bellie Sivakumar

This authoritative publication provides a entire account of the basic roles of nonlinear dynamic and chaos theories in realizing, modeling, and forecasting hydrologic structures. this is often performed via a scientific presentation of: (1) info at the salient features of hydrologic structures and at the current theories for his or her modeling; (2) the basics of nonlinear dynamic and chaos theories, equipment for chaos id and prediction, and linked matters; (3) a evaluate of the purposes of chaos idea in hydrology; and (4) the scope and power instructions for the future.

This booklet bridges the divide among the deterministic and the stochastic faculties in hydrology, and is easily ideal as a textbook for hydrology courses.

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There is no such thing as a perfect model because an abstract quantity cannot perfectly represent a physical entity (Singh 1988). g. rainfall, evaporation, streamflow) as inputs/outputs play a key role in model formulation and model validation. A variable can be observed at a particular location over time or at a particular time at different locations or at different locations over time. A set of observations of a hydrologic variable made at a particular location over time is called a hydrologic time series (Fig.

Their development depends not only on our limited understanding of the actual systems but also on limited observations and computational/structural powers. Therefore, it is fair to say that all models are wrong, or will be proven to be wrong. The only perfect model of a physical system is the system itself. There is no such thing as a perfect model because an abstract quantity cannot perfectly represent a physical entity (Singh 1988). g. rainfall, evaporation, streamflow) as inputs/outputs play a key role in model formulation and model validation.

Springer-Verlag, Berlin, Germany, pp 87–99 Selvalingam S (1977) ARMA and linear tank models. In: Morel-Seytoux HJ, Salas JD, Sanders TG, Smith RE (eds) Modeling hydrologic processes. Proceedings of Fort Collins III international hydrol symposium, pp 297–313 Singh VP (1988) Hydrologic systems: vol 1. Rainfall-runoff modeling, Prentice Hall, New Jersey Singh VP (1995) Computer models of watershed hydrology. Water Resources Publications, Highlands Ranch CO Singh VP (1997) The use of entropy in hydrology and water resources.

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