Recursive streamflow forecasting : a state-space approach / József Szilágyi, András Szöllösi-Nagy
- UNESCO-IHE lecture note series
- 1. Introduction -- 2. Overview Of Continuous Flow-Routing Techniques -- 2.1. Basic equations of the one-dimensional, gradually varied non-permanent open-channel flow -- 2.2. Diffusion wave equation -- 2.3. Kinematic wave equation -- 2.4. Flow-routing methods -- 2.4.1. Derivation of the storage equation from the Saint-Venant equations -- 2.4.2. The Kalinin Milyukov Nash cascade -- 2.4.3. The Muskingum channel routing technique -- 3. State space Description Of The Spatially Discretized Linear Kinematic Wave -- 3.1. State space formulation of the continuous, spatially discrete linear kinematic wave -- 3.2. Impulse response of the continuous, spatially discrete linear kinematic wave -- 4. State space Description Of The Continuous Kalinin Milyukov Nash (KMN) Cascade -- 4.1. State equation of the continuous KMN-cascade -- 4.2. Impulse response of the continuous KMN-cascade and its equivalence with the continuous, spatially discrete, linear kinematic wave -- 4.3. Continuity, steady state, and transitivity of the KMN-cascade -- 5. State space Description Of The Discrete Linear Cascade Model (DLCM) And Its Properties: The Pulse-Data System Approach -- 5.1. Trivial discretization of the continuous KMN-cascade and its consequences -- 5.2. A conditionally adequate discrete model of the continuous KMN-cascade -- 5.2.1. Derivation of the discrete cascade, its continuity, steady state, and transitivity -- 5.2.2. Relationship between conditionally adequate discrete models with different sampling intervals -- 5.2.3. Temporal discretization and numerical diffusion -- 5.3. Deterministic prediction of the state variables of the discrete cascade using a linear transformation -- 5.4. Calculation of system characteristics -- 5.4.1. Unit-pulse response of the discrete cascade -- 5.4.2. Unit-step response of the discrete cascade -- 5.5. Calculation of initial conditions for the discrete cascade -- 5.6. Deterministic prediction of the discrete cascade output and its asymptotic behavior -- 5.7. The inverse of prediction: input detection -- 6. The Linear Interpolation (LI) Data System Approach -- 6.1. Formulation of the discrete cascade in the LI-data system framework -- 6.2. Discrete state space approximation of the continuous KMN-cascade of noninteger storage elements -- 6.3. Application of the discrete cascade for flow-routing with unknown rating curves -- 6.4. Detecting historical channel flow changes by the discrete linear cascade -- 7. DLCM And Stream aquifer Interactions -- 7.1. Accounting for stream aquifer interactions in DLCM -- 7.2. Assessing groundwater contribution to the channel via input detection -- 8. Handling Of Model Error: The Deterministic stochastic Model And Its Prediction Updating -- 8.1. A stochastic model of forecast errors -- 8.2. Recursive prediction and updating -- 9. Some Practical Aspects Of Model Application For Real-Time Operational Forecasting -- 9.1. Model parameterization -- 9.2. Comparison of a pure stochastic, a deterministic (DLCM), and deterministic stochastic models -- 9.3. Application of the deterministic stochastic model for the Danube basin in Hungary -- A.I.1. State space description of linear dynamic systems -- A.I.2. Algorithm of the discrete linear Kalman filter -- A.II.1. Sample MATLAB scripts.
- "Record-breaking floods in many places in the world in recent years have underlined the need for accurate flood forecasting models. By knowing in advance when, where and at what level a river will crest, appropriate protection works can be planned and damage to life and property can be reduced. This book presents a streamflow model technique, which has been adopted by various hydrological forecasting services. The physics-based structural-stochastic forecasting model is formulated with discrete data, accounts for model uncertainties, is adaptive, and mathematically accessible. The reader is guided gradually through the model building and forecasting process and through the generation of the relevant system matrices with the enclosed MATLAB codes. The many examples and sample inflow and outflow data illustrate real life flow routing problems in Europe and the US and allow, with the adaptable MATLAB codes, the simulation of streamflows and the creation of real-time hydrological forecasts." "This volume was developed as course material for hydroinformatics, surface hydrology and water management courses. It is moreover intended for hydrologists and civil, environmental and agricultural engineers, who are involved with flood forecasting and water resources management. A CD-ROM with MATLAB codes is included."--BOOK JACKET.
- 9780415569019 (hardcover)
- "A Balkema book."
- Bibliography Note:
- Includes bibliographical references and index.
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