Skip to main content

Synthetic Streamflows

Synthetic Streamflows

Myron B. Fiering, Barbara B. Jackson

ISBN: 978-1-118-66528-2

Mar 2013, American Geophysical Union

98 pages

Select type: O-Book

Description

Published by the American Geophysical Union as part of the Water Resources Monograph Series, Volume 1.

This monograph contains virtually no mathematical derivations and little statistical theory, but a large number of formulas, examples, and their phenomenological justification. Moreover, many references are cited so that interested readers can locate some of the missing details and study them from their source documents. The purpose of this monograph is to summarize many of the proposals for generating synthetic streamflows, to present numerical calculations that show the step-by-step calculations, and to offer proposals for their application in a variety of hydrologic engineering problems. This monograph is the first of a series of monographs emphasizing procedural aspects of hydrologic analysis.

Foreword

Preface

1. TOOL OF OPERATIONAL HYDROLOGY

Introduction and Background  1

Operational Hydrology 2

Role of Decision Theory 6

2. STATISTICS OF OPERATIONAL HYDROLOGY

Time Series and Random Numbers 13

Statistics of the Flow Distributions: Mean and Standard Deviation 19

Statistics of the Distribution: Correlation Coefficients and
Coefficient of Skewness 28

3. EVALUATION OF THE STATISTICS

Selecting a Distribution 33

Refinements in Evaluating Sample Statistics 37

Summary of Calculations for Estimating
Parameters and Selecting a Distribution 40

4. CH0ICE OF A MODEL

Markov Model 49

Summary of Calculations for Markov Models 58

Examples of Markov Generation Schemes 64

Multilag Mode Is 67

Summary of Calculations for Multilag Models 72

Example of Calculations for a Multilag
Model, Normal Distribution 76

5. OTHER CONSIDERATIONS IN THE USE
OF OPERATIONAL HYDROLOGY

Multisite Models 79

Refinements of the Generation Schemes 80

Game and Decision Theories 82

Case Histories 85

Appendix: Mathematics for the Multisite Model  89

References   95