Return Period and Risk of Hydrologic Events. II: Applications

A mathematical formulation to estimate return periods and risks of failure of complex hydrologic events such as those arising from dependent floods and droughts have been examined in the first part of this paper. Specifically, some relationships and algorithms for computing return periods and associated risks for runs arising from independent and dependent events assuming that dependence is represented by a two-state Markov chain have been proposed. The applicability of these procedures is illustrated herein, considering several types of hydrological events with emphasis on those where dependence is important. First, meteorological droughts based on annual precipitation are considered as examples of events consisting of runs in independent trials. Then, minimum streamflows and maximum annual lake outflows are included as examples of dependent events, assuming that dependence is represented by a simple Markov chain. Also, hydrological droughts based on annual streamflow series are considered. In addition, ...

[1]  J. ...,et al.  Applied modeling of hydrologic time series , 1980 .

[2]  Kil Seong Lee,et al.  An Approach for Frequency Analysis of Multiyear Drought Durations , 1986 .

[3]  J. Dracup,et al.  On the definition of droughts , 1980 .

[4]  Gary D. Tasker,et al.  Effective record length for the T-year event , 1983 .

[5]  Richard M. Vogel,et al.  Reliability Indices for Water Supply Systems , 1987 .

[6]  H. C. Riggs.  Characteristics of Low Flows , 1980 .

[7]  Jose D. Salas,et al.  Effect of Drought on Urban Water Supplies. I: Drought Analysis , 1990 .

[8]  Kil Seong Lee,et al.  On the statistical characteristics of drought events , 1980 .

[9]  Vujica Yevjevich,et al.  Stochastic processes in hydrology , 1972 .

[10]  J. Salas,et al.  Stochastic Modeling and Generation of Droughts , 1989 .

[11]  Zekai Sen,et al.  Wet and Dry Periods of Annual Flow Series , 1976 .

[12]  E. Zelenhasić,et al.  A method of streamflow drought analysis , 1987 .

[13]  B. B. Jackson,et al.  Markov Mixture Models for Drought Lengths , 1975 .

[14]  Jose D. Salas,et al.  Return Period and Risk of Hydrologic Events. I: Mathematical Formulation , 2001 .

[15]  Zekai Sen,et al.  Statistical Analysis of Hydrologic Critical Droughts , 1980 .

[16]  W. L. Lane,et al.  Applied Modeling of Hydrologic Time Series , 1997 .

[17]  Effect of Drought on Urban Water Supplies. II: Water‐Supply Analysis , 1990 .

[18]  Gary D. Tasker,et al.  A COMPARISON OF METHODS FOR ESTIMATING LOW FLOW CHARACTERISTICS OF STREAMS , 1987 .