Stochastic Integral Equations and Rainfall-Runoff Models
(Sprache: Englisch)
The uncertainty in rainfall-runoff modeling predictions has become a topic of recent key interest. In this book, the uncertainty problem is approached by use of stochastic integral equations. Various aspects of the rainfall-runoff modeling process are...
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Klappentext zu „Stochastic Integral Equations and Rainfall-Runoff Models “
The uncertainty in rainfall-runoff modeling predictions has become a topic of recent key interest. In this book, the uncertainty problem is approached by use of stochastic integral equations. Various aspects of the rainfall-runoff modeling process are scrutinized by use of probabilistic models, such that when combined, a stochastic integral equation results. Uncertainty in single even runoff estimates, as well as return frequency event outcomes are analyzed. Use of example problems demonstrate the application of stochastic integral equations in addition to explaining the underlying concepts. Computer program source code is also provided which can be used to solve both theoretical and real-world problems. The generous supply of chapter problems enables the book to be used as an applied textbook in stochastic integrals.
Inhaltsverzeichnis zu „Stochastic Integral Equations and Rainfall-Runoff Models “
1: Rainfall-Runoff Approximation.- 1.1. Introduction.- 1.1.1. An Analogy to Rainfall-Runoff Modeling.- 1.2. Stormflow Determination Methods.- 1.3. Method for Development of Synthetic Flood Frequency Estimates.- 1.4. Watershed Modeling Uncertainty.- 1.4.1. Some Concerns in Deterministic Rainfall-Runoff Model Performance.- 1.4.2. Runoff Hydrograph Generation Techniques (Linear vs. Nonlinear).- 1.4.3. On Predicting T-Year Return Frequency Values of a Criterion Variable.- 1.4.4. The Design Storm/Unit Hydrograph Approach.- 1.5. Hypothetical Floods, Balanced Floods, and Design Storm Methods.- 1.6. A Preview of the Rainfall-Runoff Model Prediction Problem.- 1.7. An Overview of Rainfall-Runoff Model Structures.- 1.7.1. Estimating Effective Rainfall.- 1.7.2. The Physical Processes Involved.- 1.7.3. The Phi-Index Method for Estimating Effective Rainfall.- 1.7.4. Constant Proportion Loss Rate.- 1.7.5. Coupled Phi-Index and Constant Proportion Loss Rate Function.- 1.7.6. Horton Loss Rate Function.- 1.7.7. Exponential Loss Rate Function.- 1.7.8. Initial Abstraction Considerations.- 1.7.9. SCS Loss Separation.- 1.7.10. SCS Hydrologic Soil Groups.- 1.7.11. Soil Cover Considerations.- 1.7.12. Generating Runoff Using the Unit Hydrograph Method.- 1.7.13. Forming Synthetic Unit Hydrographs.- 1.7.14. Synthetic Runoff Hydrograph Development (Convolution).- 1.7.15. Detention Basin Routing Procedure (Modified Puls Method).- 1.7.16. Flow-by Channel Model (Runoff Hydrograph Separation).- 1.7.17. The Modified Convex Channel Routing Method.- 1.7.18. Muskingum Channel Routing.- 1.7.19. A Pipeflow Routing Model.- 1.7.20. Hydrograph Translation.- 1.7.21. A Link-Node Rainfall-Runoff Model.- Study Problems.- 2: Probability and Statistics Review.- 2.1. Probability Spaces.- 2.2. Random Variables.- 2.3. Moments.- 2.4. Two Random Variables.- 2.5. Several Random Variables.- 2.6. Parameter Estimation.- 2.7. Confidence Intervals.- Study Problems.- 3: Introduction to Stochastic Integral Equations in
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Rainfall-Runoff Modeling.- 3.1. Introduction.- 3.2. Introduction to Analysis of Rainfall-Runoff Model Structures.- 3.2.1. Rainfall-Runoff Model #1.- 3.2.2. Rainfall-Runoff Model #2.- 3.3. Application of Stochastic Integral Equations to Rainfall-Runoff Data.- 3.4. Another Look at Probabilistic Modeling: Assuming Mutually Independent Parameters.- Study Problems.- 4: Stochastic Integral Equations Applied to a Multi-Linear Rainfall-Runoff Model.- 4.1. Stochastic Integral Equation Method.- 4.1.1. Rainfall-Runoff Model Errors.- 4.1.2. Developing Distributions for Model Estimates Using the S.I.E.M..- 4.1.3. Application 1: Coupling the S.I.E.M. to a Complex Model.- 4.1.3.1. Rainfall-runoff Model Description and Data Forms.- 4.1.3.2. Development of the Distribution [?M(·)].- 4.1.3.3. Functional Operator Distributions.- 4.2. Sensitivity of Functional Operator Distributions to Sampling Error.- 4.2.1. True Distributions.- 4.2.2. Application 2: Development of Total Error Distributions.- 4.2.2.1. A Translation Unsteady Flow Routing Rainfall-runoff Model.- 4.2.2.2. Multilinear Unsteady Flow Routing and Storm Classes.- 4.2.2.3. Multilinear Hydrologic Unsteady Flow Routing.- 4.2.2.4. Example.- 4.3. A Multilinear Rainfall-Runoff Model.- 4.3.1. Generalization of Model.- 4.3.2. Application 3 - Multilinear Rainfall-Runoff Model.- 4.4. An Application of the S.I.E.M..- Study Problems.- 5: Rainfall-Runoff Model Criterion Variable Frequency Distributions.- 5.1. Probabilistic Distribution Concept.- 5.2. The Distribution of the Criterion Variable.- 5.3. Sequence of Annual Model Inputs.- 5.4. Model Input Peak Duration Analysis.- 5.5. Criterion Variable Distribution Analysis.- 5.6. Estimation of T-Year Values of the Criterion Variable.- 5.7. T-Year Estimate Model Simplifications.- 5.8. Discussion of Results.- 5.9. Computational Problem.- 5.10. Computational Program.- Study Problems.- 6: Using the Stochastic Integral Equation Method.- 6.1. Introduction.- 6.2. Problem Setting.- 6.3. Stochastic Integral Equation Method (S.I.E.M.).- 6.4. Approximation of Criterion Variable Confidence Intervals, Using the S.I.E.M..- 6.5. Rainfall-Runoff Models, and the Variance in the Criterion Variable Estimates.- 6.6 Rainfall-Runoff Model Calibration.- 6.7. Confidence Interval Estimates.- 6.8. Unit Hydrographs as a Multivariate Normal Distribution.- 6.8.1. S.I.E.M. Formulation.- 6.8.2. Criterion Variable Value Estimation.- 6.8.3. Computational Problem.- 6.8.4. Discussion of Computational Problem Results.- 6.8.5. Computer Program 6.1.- Study Problems.- References.- Author Index.
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Bibliographische Angaben
- Autoren: Theodore V. Hromadka , Robert J. Whitley
- 2012, Softcover reprint of the original 1st ed. 1989, XVIII, 384 Seiten, Masse: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3642493114
- ISBN-13: 9783642493119
Sprache:
Englisch
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