Stochastic integral equations and rainfall-runoff models

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Hauptverfasser: Hromadka, Theodore V. 1950- (VerfasserIn), Whitley, Robert J. 1937- (VerfasserIn)
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Sprache:English
Veröffentlicht: Berlin [u.a.] Springer 1989
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Datensatz im Suchindex

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adam_text Titel: Stochastic integral equations and rainfall-runoff models Autor: Hromadka, Theodore V Jahr: 1989 Table of Contents CHAPTER 1: RAINFALL-RUNOFF APPROXIMATION 1 1.1. INTRODUCTION 1 1.1.1. An Analogy to Rainfall-Runoff Modeling 2 1.2. STORMFLOW DETERMINATION METHODS 5 1.3. METHOD FOR DEVELOPMENT OF SYNTHETIC FLOOD FREQUENCY ESTIMATES 6 1.4. WATERSHED MODELING UNCERTAINTY 17 1.4.1. Some Concerns in Deterministic Rainfall- Runoff Model Performance 18 1.4.2. Runoff Hydrograph Generation Techniques (Linear vs. Nonlinear) 37 1.4.3. On Predicting T-Year Return Frequency Values of a Criterion Variable 44 1.4.4. The Design Storm/Unit Hydrograph Approach 45 1.5. HYPOTHETICAL FLOODS, BALANCED FLOODS, AND DESIGN STORM METHODS 46 1.6. A PREVIEW OF THE RAINFALL-RUNOFF MODEL PREDICTION PROBLEM 52 1.7. AN OVERVIEW OF RAINFALL-RUNOFF MODEL STRUCTURES 55 1.7.1. Estimating Effective Rainfall 55 1.7.2. The Physical Processes Involved 56 1.7.3. The Phi-Index Method for Estimating Effective Rainfall 60 1.7.4. Constant Proportion Loss Rate 61 1.7.5. Coupled Phi-Index and Constant Proportion Loss Rate Function 64 1.7.6. Horton Loss Rate Function 64 1.7.7. Exponential Loss Rate Function 64 1.7.8. Initial Abstraction Considerations 66 1.7.9. SCS Loss Separation 67 1.7.10. SCS Hydrologic Soil Groups 69 1.7.11. Soil Cover Considerations 71 1.7.12. Generating Runoff Using the Unit Hydrograph Method 71 1.7.13. Forming Synthetic Unit Hydrographs 81 1.7.14. Synthetic Runoff Hydrograph Development (Convolution) 86 1.7.15. Detention Basin Routing Procedure (Modified Puls Method) 93 1.7.16. Flow-by Channel Model (Runoff Hydrograph Separation) 98 1.7.17. The Modified Convex Channel Routing Method 98 IX 1.7.18. Muskingum Channel Routing 103 1.7.19. A Pipeflow Routing Model 105 1.7.20. Hydrograph Translation 105 1.7.21. A Link-Node Rainfall-Runoff Model 107 Study Problems 108 CHAPTER 2: PROBABILITY AND STATISTICS REVIEW 117 2.1. PROBABILITY SPACES 117 2.2. RANDOM VARIABLES 121 2.3. MOMENTS 125 2.4. TWO RANDOM VARIABLES 128 2.5. SEVERAL RANDOM VARIABLES 139 2.6. PARAMETER ESTIMATION 144 2.7. CONFIDENCE INTERVALS 153 Study Problems 160 CHAPTER 3: INTRODUCTION TO STOCHASTIC INTEGRAL EQUATIONS IN RAINFALL-RUNOFF MODELING 169 3.1. INTRODUCTION 169 3.2. INTRODUCTION TO ANALYSIS OF RAINFALL- RUNOFF MODEL STRUCTURES 171 3.2.1. Rainfall-Runoff Model #1 171 3.2.2. Rainfall-Runoff Model #2 180 3.3. APPLICATION OF STOCHASTIC INTEGRAL EQUATIONS TO RAINFALL-RUNOFF DATA 185 3.4. ANOTHER LOOK AT PROBABILISTIC MODELING: ASSUMING MUTUALLY INDEPENDENT PARAMETERS 191 Study Problems 210 CHAPTER 4: STOCHASTIC INTEGRAL EQUATIONS APPLIED TO A MULTI-LINEAR RAINFALL- RUNOFF MODEL 215 4.1. STOCHASTIC INTEGRAL EQUATION METHOD (S.I.E.M.) 216 4.1.1. Rainfall-Runoff Model Errors 4.1.2. Developing Distributions for Model Estimates Using the S.I.E.M. 218 4.1.3. Application 1: Coupling the S.I.E.M. to a Complex Model 220 4.1.3.1. Rainfall-runoff Model Description and Data Forms 220 4.1.3.2. Development of the Distribution [ s m(‘)] 222 4.1.3.3. Functional Operator Distributions 223 X 4.2. SENSITIVITY OF FUNCTIONAL OPERATOR DISTRIBUTIONS TO SAMPLING ERROR 224 4.2.1. True Distributions 224 4.2.2. Application 2: Development of Total Error Distributions 226 4.2.2.1. A Translation Unsteady Flow Routing Rainfall-runoff Model 226 4.2.2.2. Multilinear Unsteady Flow Routing and Storm Classes 229 4.2.2.3. Multilinear Hydrologic Unsteady Flow Routing 231 4.2.2.4. Example 234 4.3. A MULTILINEAR RAINFALL-RUNOFF MODEL 234 4.3.1. Generalization of Model 234 4.3.2. Application 3 - Multilinear Rainfall-Runoff Model 239 4.4. AN APPLICATION OF THE S.I.E.M. 247 Study Problems 255 CHAPTER 5: RAINFALL-RUNOFF MODEL CRITERION VARIABLE FREQUENCY DISTRIBUTIONS 262 5.1. PROBABILISTIC DISTRIBUTION CONCEPT 262 5.2. THE DISTRIBUTION OF THE CRITERION VARIABLE 263 5.3. SEQUENCE OF ANNUAL MODEL INPUTS 264 .5.4. MODEL INPUT PEAK DURATION ANALYSIS 265 5.5. CRITERION VARIABLE DISTRIBUTION ANALYSIS 267 5.6. ESTIMATION OF T-YEAR VALUES OF THE CRITERION VARIABLE 271 5.7. T-YEAR ESTIMATE MODEL SIMPLIFICATIONS 272 5.8. DISCUSSION OF RESULTS 274 5.9. COMPUTATIONAL PROBLEM 283 5.10. COMPUTATIONAL PROGRAM 293 Study Problems 323 CHAPTER 6: USING THE STOCHASTIC INTEGRAL EQUATION METHOD 326 6.1. INTRODUCTION 326 6.2. PROBLEM SETTING 326 6.3. STOCHASTIC INTEGRAL EQUATION METHOD (S.I.E.M.) 327 6.4. APPROXIMATION OF CRITERION VARIABLE CONFIDENCE INTERVALS, USING THE S.I.E.M. 329 6.5. RAINFALL-RUNOFF MODELS, AND THE VARIANCE IN THE CRITERION VARIABLE ESTIMATES 330 XI 6.6 RAINFALL-RUNOFF MODEL CALIBRATION 336 6.7. CONFIDENCE INTERVAL ESTIMATES 337 6.8. UNIT HYDROGRAPHS AS A MULTIVARIATE NORMAL DISTRIBUTION 339 6.8.1. S.I.E.M. Formulation 339 6.8.2. Criterion Variable Value Estimation 342 6.8.3. Computational Problem 344 6.8.4. Discussion of Computational Problem Results 348 6.8.5. Computer Program 6.1 349 Study Problems 366 REFERENCES 368 AUTHOR INDEX 375 SUBJECT INDEX 378
adam_txt Titel: Stochastic integral equations and rainfall-runoff models Autor: Hromadka, Theodore V Jahr: 1989 Table of Contents CHAPTER 1: RAINFALL-RUNOFF APPROXIMATION 1 1.1. INTRODUCTION 1 1.1.1. An Analogy to Rainfall-Runoff Modeling 2 1.2. STORMFLOW DETERMINATION METHODS 5 1.3. METHOD FOR DEVELOPMENT OF SYNTHETIC FLOOD FREQUENCY ESTIMATES 6 1.4. WATERSHED MODELING UNCERTAINTY 17 1.4.1. Some Concerns in Deterministic Rainfall- Runoff Model Performance 18 1.4.2. Runoff Hydrograph Generation Techniques (Linear vs. Nonlinear) 37 1.4.3. On Predicting T-Year Return Frequency Values of a Criterion Variable 44 1.4.4. The Design Storm/Unit Hydrograph Approach 45 1.5. HYPOTHETICAL FLOODS, BALANCED FLOODS, AND DESIGN STORM METHODS 46 1.6. A PREVIEW OF THE RAINFALL-RUNOFF MODEL PREDICTION PROBLEM 52 1.7. AN OVERVIEW OF RAINFALL-RUNOFF MODEL STRUCTURES 55 1.7.1. Estimating Effective Rainfall 55 1.7.2. The Physical Processes Involved 56 1.7.3. The Phi-Index Method for Estimating Effective Rainfall 60 1.7.4. Constant Proportion Loss Rate 61 1.7.5. Coupled Phi-Index and Constant Proportion Loss Rate Function 64 1.7.6. Horton Loss Rate Function 64 1.7.7. Exponential Loss Rate Function 64 1.7.8. Initial Abstraction Considerations 66 1.7.9. SCS Loss Separation 67 1.7.10. SCS Hydrologic Soil Groups 69 1.7.11. Soil Cover Considerations 71 1.7.12. Generating Runoff Using the Unit Hydrograph Method 71 1.7.13. Forming Synthetic Unit Hydrographs 81 1.7.14. Synthetic Runoff Hydrograph Development (Convolution) 86 1.7.15. Detention Basin Routing Procedure (Modified Puls Method) 93 1.7.16. Flow-by Channel Model (Runoff Hydrograph Separation) 98 1.7.17. The Modified Convex Channel Routing Method 98 IX 1.7.18. Muskingum Channel Routing 103 1.7.19. A Pipeflow Routing Model 105 1.7.20. Hydrograph Translation 105 1.7.21. A Link-Node Rainfall-Runoff Model 107 Study Problems 108 CHAPTER 2: PROBABILITY AND STATISTICS REVIEW 117 2.1. PROBABILITY SPACES 117 2.2. RANDOM VARIABLES 121 2.3. MOMENTS 125 2.4. TWO RANDOM VARIABLES 128 2.5. SEVERAL RANDOM VARIABLES 139 2.6. PARAMETER ESTIMATION 144 2.7. CONFIDENCE INTERVALS 153 Study Problems 160 CHAPTER 3: INTRODUCTION TO STOCHASTIC INTEGRAL EQUATIONS IN RAINFALL-RUNOFF MODELING 169 3.1. INTRODUCTION 169 3.2. INTRODUCTION TO ANALYSIS OF RAINFALL- RUNOFF MODEL STRUCTURES 171 3.2.1. Rainfall-Runoff Model #1 171 3.2.2. Rainfall-Runoff Model #2 180 3.3. APPLICATION OF STOCHASTIC INTEGRAL EQUATIONS TO RAINFALL-RUNOFF DATA 185 3.4. ANOTHER LOOK AT PROBABILISTIC MODELING: ASSUMING MUTUALLY INDEPENDENT PARAMETERS 191 Study Problems 210 CHAPTER 4: STOCHASTIC INTEGRAL EQUATIONS APPLIED TO A MULTI-LINEAR RAINFALL- RUNOFF MODEL 215 4.1. STOCHASTIC INTEGRAL EQUATION METHOD (S.I.E.M.) 216 4.1.1. Rainfall-Runoff Model Errors 4.1.2. Developing Distributions for Model Estimates Using the S.I.E.M. 218 4.1.3. Application 1: Coupling the S.I.E.M. to a Complex Model 220 4.1.3.1. Rainfall-runoff Model Description and Data Forms 220 4.1.3.2. Development of the Distribution [ s m(‘)] 222 4.1.3.3. Functional Operator Distributions 223 X 4.2. SENSITIVITY OF FUNCTIONAL OPERATOR DISTRIBUTIONS TO SAMPLING ERROR 224 4.2.1. True Distributions 224 4.2.2. Application 2: Development of Total Error Distributions 226 4.2.2.1. A Translation Unsteady Flow Routing Rainfall-runoff Model 226 4.2.2.2. Multilinear Unsteady Flow Routing and Storm Classes 229 4.2.2.3. Multilinear Hydrologic Unsteady Flow Routing 231 4.2.2.4. Example 234 4.3. A MULTILINEAR RAINFALL-RUNOFF MODEL 234 4.3.1. Generalization of Model 234 4.3.2. Application 3 - Multilinear Rainfall-Runoff Model 239 4.4. AN APPLICATION OF THE S.I.E.M. 247 Study Problems 255 CHAPTER 5: RAINFALL-RUNOFF MODEL CRITERION VARIABLE FREQUENCY DISTRIBUTIONS 262 5.1. PROBABILISTIC DISTRIBUTION CONCEPT 262 5.2. THE DISTRIBUTION OF THE CRITERION VARIABLE 263 5.3. SEQUENCE OF ANNUAL MODEL INPUTS 264 .5.4. MODEL INPUT PEAK DURATION ANALYSIS 265 5.5. CRITERION VARIABLE DISTRIBUTION ANALYSIS 267 5.6. ESTIMATION OF T-YEAR VALUES OF THE CRITERION VARIABLE 271 5.7. T-YEAR ESTIMATE MODEL SIMPLIFICATIONS 272 5.8. DISCUSSION OF RESULTS 274 5.9. COMPUTATIONAL PROBLEM 283 5.10. COMPUTATIONAL PROGRAM 293 Study Problems 323 CHAPTER 6: USING THE STOCHASTIC INTEGRAL EQUATION METHOD 326 6.1. INTRODUCTION 326 6.2. PROBLEM SETTING 326 6.3. STOCHASTIC INTEGRAL EQUATION METHOD (S.I.E.M.) 327 6.4. APPROXIMATION OF CRITERION VARIABLE CONFIDENCE INTERVALS, USING THE S.I.E.M. 329 6.5. RAINFALL-RUNOFF MODELS, AND THE VARIANCE IN THE CRITERION VARIABLE ESTIMATES 330 XI 6.6 RAINFALL-RUNOFF MODEL CALIBRATION 336 6.7. CONFIDENCE INTERVAL ESTIMATES 337 6.8. UNIT HYDROGRAPHS AS A MULTIVARIATE NORMAL DISTRIBUTION 339 6.8.1. S.I.E.M. Formulation 339 6.8.2. Criterion Variable Value Estimation 342 6.8.3. Computational Problem 344 6.8.4. Discussion of Computational Problem Results 348 6.8.5. Computer Program 6.1 349 Study Problems 366 REFERENCES 368 AUTHOR INDEX 375 SUBJECT INDEX 378
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id DE-604.BV021892241
illustrated Illustrated
index_date 2024-07-02T16:04:12Z
indexdate 2024-07-09T20:46:49Z
institution BVB
isbn 3540510869
0387510869
language English
oai_aleph_id oai:aleph.bib-bvb.de:BVB01-015107439
oclc_num 19555254
open_access_boolean
owner DE-706
DE-188
owner_facet DE-706
DE-188
physical XVIII, 384 S. graph. Darst.
publishDate 1989
publishDateSearch 1989
publishDateSort 1989
publisher Springer
record_format marc
spelling Hromadka, Theodore V. 1950- Verfasser (DE-588)115695702 aut
Stochastic integral equations and rainfall-runoff models Theodore V. Hromadka ; Robert J. Whitley
Berlin [u.a.] Springer 1989
XVIII, 384 S. graph. Darst.
txt rdacontent
n rdamedia
nc rdacarrier
Mathematisches Modell
Rain and rainfall Mathematical models
Runoff Mathematical models
Stochastic integral equations
Abfluss (DE-588)4000114-3 gnd rswk-swf
Integralgleichung (DE-588)4027229-1 gnd rswk-swf
Stochastische Integralgleichung (DE-588)4183374-0 gnd rswk-swf
Abflussmessung (DE-588)4141034-8 gnd rswk-swf
Modell (DE-588)4039798-1 gnd rswk-swf
Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf
Regenwasser (DE-588)4049003-8 gnd rswk-swf
Regen (DE-588)4121570-9 gnd rswk-swf
Integralgleichung (DE-588)4027229-1 s
DE-604
Stochastischer Prozess (DE-588)4057630-9 s
Regenwasser (DE-588)4049003-8 s
Abfluss (DE-588)4000114-3 s
Modell (DE-588)4039798-1 s
1\p DE-604
Regen (DE-588)4121570-9 s
Abflussmessung (DE-588)4141034-8 s
Stochastische Integralgleichung (DE-588)4183374-0 s
2\p DE-604
3\p DE-604
Whitley, Robert J. 1937- Verfasser (DE-588)115695745 aut
HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015107439&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle Hromadka, Theodore V. 1950-
Whitley, Robert J. 1937-
Stochastic integral equations and rainfall-runoff models
Mathematisches Modell
Rain and rainfall Mathematical models
Runoff Mathematical models
Stochastic integral equations
Abfluss (DE-588)4000114-3 gnd
Integralgleichung (DE-588)4027229-1 gnd
Stochastische Integralgleichung (DE-588)4183374-0 gnd
Abflussmessung (DE-588)4141034-8 gnd
Modell (DE-588)4039798-1 gnd
Stochastischer Prozess (DE-588)4057630-9 gnd
Regenwasser (DE-588)4049003-8 gnd
Regen (DE-588)4121570-9 gnd
subject_GND (DE-588)4000114-3
(DE-588)4027229-1
(DE-588)4183374-0
(DE-588)4141034-8
(DE-588)4039798-1
(DE-588)4057630-9
(DE-588)4049003-8
(DE-588)4121570-9
title Stochastic integral equations and rainfall-runoff models
title_auth Stochastic integral equations and rainfall-runoff models
title_exact_search Stochastic integral equations and rainfall-runoff models
title_exact_search_txtP Stochastic integral equations and rainfall-runoff models
title_full Stochastic integral equations and rainfall-runoff models Theodore V. Hromadka ; Robert J. Whitley
title_fullStr Stochastic integral equations and rainfall-runoff models Theodore V. Hromadka ; Robert J. Whitley
title_full_unstemmed Stochastic integral equations and rainfall-runoff models Theodore V. Hromadka ; Robert J. Whitley
title_short Stochastic integral equations and rainfall-runoff models
title_sort stochastic integral equations and rainfall runoff models
topic Mathematisches Modell
Rain and rainfall Mathematical models
Runoff Mathematical models
Stochastic integral equations
Abfluss (DE-588)4000114-3 gnd
Integralgleichung (DE-588)4027229-1 gnd
Stochastische Integralgleichung (DE-588)4183374-0 gnd
Abflussmessung (DE-588)4141034-8 gnd
Modell (DE-588)4039798-1 gnd
Stochastischer Prozess (DE-588)4057630-9 gnd
Regenwasser (DE-588)4049003-8 gnd
Regen (DE-588)4121570-9 gnd
topic_facet Mathematisches Modell
Rain and rainfall Mathematical models
Runoff Mathematical models
Stochastic integral equations
Abfluss
Integralgleichung
Stochastische Integralgleichung
Abflussmessung
Modell
Stochastischer Prozess
Regenwasser
Regen
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015107439&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv AT hromadkatheodorev stochasticintegralequationsandrainfallrunoffmodels
AT whitleyrobertj stochasticintegralequationsandrainfallrunoffmodels