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Cover image for Recursive streamflow forecasting : a state-space approach
Title:
Recursive streamflow forecasting : a state-space approach
Personal Author:
Series:
UNESCO-IHE lecture note series
Publication Information:
Boca Raton, F.L. : CRC Press, c2010
Physical Description:
ix, 195 p. : ill. ; 25 cm. + 1 CD-ROM (12 cm.)
ISBN:
9780415569019
General Note:
Accompanied by CD-ROM : CP 030941
Added Author:

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30000010305822 GB1201.7 S95 2010 Open Access Book Book
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Summary

Summary

This textbooknbsp;is anbsp;practical guide to real-time streamflow forecasting that provides a rigorous description of a coupled stochastic and physically based flow routing method and its practical applications. This method is used in current times of record-breaking floods to forecast flood levels by various hydrological forecasting services. By knowing in advance when, where, and at what level a river will crest, appropriate protection works can be organized, reducing casualties and property damage. Through its real-life case examples and problem listings, the book teaches hydrology and civil engineering students and water-resources practitioners the physical forecasting model and allows them to apply it directly in real-life problems of streamflow simulation and forecasting. Designed as a textbook for courses on hydroinformatics and water management, it includes exercises andnbsp;a CD-ROM with MATLABĀ® codes for the simulation of streamflows and the creation of real-time hydrological forecasts.

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Author Notes

Dr. Andrs Szllsi-Nagy is a Professor of Hydrology. He currently also serves as the Rector of the UNESCOIHE Institute for Water Education in Delft, The Netherlands. Before, he was the director of the Division of Water Sciences and the Secretary of the International Hydrological Programme (IHP) of UNESCO, Paris. He holds a Civil Engineering degree, a Dr. Techn. (Summa cum Laude) in Hydrology and Mathematical Statistics, a PhD in hydrology from the Budapest University of Technology and a DSc in water resources systems control from the Hungarian Academy of Sciences. He has served in various international scientific boards and has worked as a scientist and professor in hydrological modeling and forecasting at several universities in the world.
Dr. Jzsef Szilgyi is a Professor at the Budapest University of Technology and Economics, Hungary and a research hydrologist at the University of Nebraska-Lincoln, USA. His education and training is in meteorology and hydrology. He completed his PhD at the University of California-Davis, USA, in 1997. In his early carrier he worked as an operational hydrometeorologist at the National Hydrological Forecasting Service in Hungary. Later he got involved in studying watershed hydrology, land-atmosphere and stream-aquifer interactions. His current activities focus on developing spatially distributed evapotranspiration estimation methods using standard weather and satellite-derived remote sensing data.


Table of Contents

Prefacep. xi
1 Introductionp. 1
2 Overview of Continuous Flow-Routing Techniquesp. 7
2.1 Basic equations of the one-dimensional, gradually varied non-permanent open-channel flowp. 8
2.2 Diffusion wave equationp. 10
2.3 Kinematic wave equationp. 12
2.4 Flow-routing methodsp. 12
2.4.1 Derivation of the storage equation from the Saint-Venant equationsp. 13
2.4.2 The Kalinin-Milyukov-Nash cascadep. 14
2.4.3 The Muskingum channel routing techniquep. 16
3 State-Space Description of the Spatially Discretized Linear Kinematic Wavep. 19
3.1 State-space formulation of the continuous, spatially discrete linear kinematic wavep. 19
3.2 Impulse response of the continuous, spatially discrete linear kinematic wavep. 22
4 State-Space Description of the Continuous Kalinin-Milyukov-Nash (KMN) Cascadep. 31
4.1 State equation of the continuous KMN-cascadep. 31
4.2 Impulse-response of the continuous KMN-cascade and its equivalence with the continuous, spatially discrete, linear kinematic wavep. 33
4.3 Continuity, steady state, and transitivity of the KMN-cascadep. 35
5 State-Space Description of the Discrete Linear Cascade Model (DLCM) and its Properties: The Pulse-Data System Approachp. 39
5.1 Trivial discretization of the continuous KMN-cascade and its consequencesp. 40
5.2 A conditionally adequate discrete model of the continuous KMN-cascadep. 45
5.2.1 Derivation of the discrete cascade, its continuity, steady state, and transitivityp. 46
5.2.2 Relationship between conditionally adequate discrete models with different sampling intervalsp. 54
5.2.3 Temporal discretization and numerical diffusionp. 57
5.3 Deterministic prediction of the state variables of the discrete cascade using a linear transformationp. 60
5.4 Calculation of system characteristicsp. 62
5.4.1 Unit-pulse response of the discrete cascadep. 63
5.4.2 Unit-step response of the discrete cascadep. 69
5.5 Calculation of initial conditions for the discrete cascadep. 72
5.6 Deterministic predication of the discrete cascade output and its asymptotic behaviorp. 77
5.7 The inverse of prediction: input detectionp. 78
6 The Linear Interpolation (LI) Data System Approachp. 87
6.1 Formulation of the discrete cascade in the LI-data system frameworkp. 87
6.2 Discrete state-space approximation of the continuous KMN-cascade of noninteger storage elementsp. 97
6.3 Application of the discrete cascade for flow-routing with unknown rating curvesp. 102
6.4 Detecting historical channel flow changes by the discrete linear cascadep. 106
7 DLCM And Stream-Aquifer Interactionsp. 109
7.1 Accounting for stream-aquifer interactions in DLCMp. 109
7.2 Assessing groundwater contribution to the channel via input detectionp. 116
8 Handling of Model Error: The Deterministic-Stochastic Model and its Prediction Updatingp. 119
8.1 A stochastic model of forecast errorsp. 119
8.2 Recursive predication and updatingp. 122
9 Some Practical Aspects of Model Application for Real-Time Operational Forecastingp. 133
9.1 Model parameterizationp. 133
9.2 Comparison of a pure stochastic, a deterministic (DLCM), and deterministic-stochastic modelsp. 134
9.3 Application of the deterministic-stochastic model for the Danube basin in Hungaryp. 138
Summaryp. 141
Appendix Ip. 145
A.I.1 State-space description of linear dynamic systemsp. 145
A.I.2 Algorithm of the discrete linear Kalman filterp. 148
Appendix IIp. 159
A.II.1 Sample MATLAB scriptsp. 159
Referencesp. 181
Guide to the Exercisesp. 187
Subject Indexp. 191
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