| Abstract: | ABSTRACT. Much has been written about the chance that a hydrologic event, such as a flood peak of a given size or greater, will occur during a given period of years. Four variables are involved, and any one of the four can be the dependent variable: (1) the probability of encountering such an event in a single year, (2) the probability of encountering one or several of these events in a period of years, (3) the least number of times of encountering the event in that period of years, and (4) the number of years in the period involved. Most of these problems are not difficult to solve, but they are tedious to calculate, not well understood, and consequently seldom used in water resources planning and development. The most popular approach is based on the binomial distribution. Graphical procedures similar to those developed by Riggs 1961] were further elaborated and are presented here with illustrative examples to facilitate their use in solving the many related problems. The confidence that one can place in these probability estimates is also explained and illustrated by tables and further examples. To help assure proper use of these methods, commonly used terms such as “recurrence interval” and “partial duration series” are discussed. No new theory is developed: at issue is a deeper understanding of the significance of design levels and their ease of computation. |
