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<br />6 <br /> <br />J. <br /> <br />HYDROLOGIC AND HUMAN ASPECTS OF THE 1976-77 DROUGHT <br /> <br />distribution of precipitation nor that some <br />areas can withstand large variations in pre- <br />cipitation whereas other areas cannot. Other <br />hydrologists have found that the criterion of a <br />15 percent annual deficiency is meaningless if <br />applied to desert areas where the mean annual <br />precipitation does not exceed 5 inches because <br />precipitation in many years is less than 85 <br />percent of the mean and a drought implies a <br />large departure from the norm. <br />In arid or semiarid areas, water deficien- <br />cies are chronic. Irrigation is necessary for <br />most agriculture, and metropolitan areas-Los <br />Angeles, San Diego, and San Francisco for <br />example-also depend upon imported water for <br />domestic, municipal, commercial, and indus- <br />trial supplies. Therefore, drought conditions <br />can be experienced where and when the <br />demand exceeds the supply. <br />Hydrologists use analyses of low-flow fre- <br />quencies to "define" a hydrological drought on <br />an annual basis. If the actual low flow of a <br />natural stream for a selected number of days <br />has a small probability of occurrence then one <br />can conclude that a drought, in a hydrologic <br />sense, is in progress. Both the number of days <br />and the level of probability considered to be an <br />uncommon event are arbitrary. <br />Low-flow frequency curves have been <br />determined from long-term records for six <br />streams representing different areas affected <br />by the drought in 1976-77. Frequency curves <br />for selected numbers of consecutive days have <br />been plotted in figure 2. Also, the discharges <br />for 1976 and 1977 and the minimums of record <br />are plotted. <br />In figure 2a, the probability that the mini- <br />mum average discharge for 30 consecut~ve <br />days in a given year will be less than 26ft /s <br />is 0.10 (Point X). Because the recurrence <br />interval, which is the average number of years <br />between events, is the reciprocal of the prob- <br />ability, the flow will be less than 26 ft 3/s at <br />intervals averaging 10 years. In 1977, the 30- <br />day minimum discharge was 13 ft :rs which has <br />a probability of 0.005 or a recurrence interval <br />of 200 years. Because frequency curves are <br />most reliable in the vicinity of the mean, a <br />probability of 0.5, probabilities determined <br />near the extremes should be considered only as <br />reasonable estimates, not exact probabilities. <br />The low-flow frequency curves and the <br />flows in 1976 and 1977 at the six locations are <br />not directly comparable. Differences may be <br /> <br />caused by chance, by different basin charac- <br />teristics, by different temperatures and pre- <br />cipitation at various times, or by combinations <br />of these factors. However, several interesting <br />conclusions can be made. <br /> <br />L The North Fork American River at North <br />Fork Dam, 31 mi northeast of Sacramento, <br />Calif., and the Beaver River near Beaver, <br />48 mi northeast of Cedar City, Utah had <br />record minimum flows in 1977 at all num- <br />bers of consecutive days selected. Prob- <br />abilities were roughly 0.01 to 0.005, or the <br />recurrence intervals are in the 100 to 200 <br />year range. <br />2. Flows of the Sturgeon River near Sidnaw, <br />90 mi northwest of Escanaba, Mich., for <br />periods up to 183 days had probabilities <br />equivalent to recurrence intervals greater <br />than 200 years. The probabilities are from <br />long extrapOlations of the frequency curves <br />and should be considered only as estimates. <br />That the very low flows of the Sturgeon <br />River are extremely rare events can be <br />substantiated by the combination of two <br />natural events. The drought in 1976 re- <br />duced the sum mer and fall flows to a new <br />record low just slightly more than half the <br />previous low flow of record. Then the <br />extremely cold winter struck the area, and <br />flows remained low until the latter half of <br />March 1977. Thus the lowest 183-day <br />period started on July 23, 1976 and ended <br />on January 21, 1977. <br />3. Flows of the other three streams in other <br />years were significantly less than in 1976 <br />or 1977 though none of them had prObabili- <br />ties less than 0.012, about an 80-year <br />recurrence interval. <br />4; Record low flow for the entire year was <br />the damaging feature related to the <br />drought. Records for low annual flows <br />were set at four of the six streams, and the <br />recurrence intervals are in the 100- to 170- <br />year range. <br /> <br />Whipple (1966) derived relations between <br />the duration of a drought, in years, versus the <br />probability of occurrence for five streams <br />from Illinois to New Mexico and for three <br />streams in Massachusetts. The relation curves <br />are nearly alike for durations of 4 years or <br />longer. On the basis of this small sample, the <br />probability of a drought lasting 4 years is <br />