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<br />(.l fl. rl 'J" "i q <br />un ! 'j <br /> <br />11. <br /> <br />of converting the basic streamflow records to such useful forms has long <br />been an insurmountable hurdle. But with electronic computers, this obstacle <br />has now been minimized. More than 900,000 values of daily discharge have <br />been electronically sorted, arrayed in order of magnitude and averaged by <br />groups to supply the initial data for the studies in this repo rt. <br /> <br />A flow duration curve is a useful device for analyzing the availability and <br />variability of streamflow. Such a curve is developed by arraying all of the <br />daily discharges at a selected site in order of magnitude, computing the per- <br />cent of time the various rates of discharge are equalled or exceeded and then <br />plotting the discharge rates against the corresponding percentages of time. <br />Such a curve defines the frequency of occurrence of various rates of flow <br />without regard to chronological sequence., <br /> <br />Flow duraFon curves have had wide-spread use among engineers for many <br />years. The curves are applicable for determining the probability of occur- <br />rence of various future rates of flow. 2 and used for investigating problems <br />dealing with water supply, power developments, sediment production, dilu- <br />tionand disposal of sewage or industrial wastes. The shape of the flow dura- <br />tion curves may be indicative of ground-water contribution to the stream, <br />geologic structure, topography, soils, vegetation and other factors in the <br />basin, 3 and provides a convenient and approp:t'iate means .of relating the char- <br />acteristics of different streams. The area under the duration curve is a tunc..,. <br />tion of the mean yield. <br /> <br />This report undertakes to provide water-use planners of Kansas with di- <br />rectly usable flow durati..on relations. It presents observed flow duration data <br />at 122 gaging-station sit,,\! in Kansas and adjoining areas as experienc-eddur- <br />ing their respective periods of record. Some of these records may reflect a <br />preponderance of either the floods or droughts of a small basin that is not <br />typical of the experience in that region. For future planning purposes,re- <br />gional experience should be more representative of future expectancy and <br />would be best defined if records for a long-term period common to all sites <br />were available. Accordingly an effort has been made to develop flow dura- <br />tion curves, adjusted by correlation techniques, to reflect regional influences <br />and to be uniformly representative of the hydrologic experience of a 36-year <br />base per iod 192:1 -56. As flow duration data are frequently needed at sites <br />where no gaging- station records are available, this report also gives meth- <br />ods for synthesizing data at these sites. A step in. the analyses included the <br />development of a map (fig. 130) showing the variation of mean flow in Kansas <br />which will prove useful in further studies. <br /> <br />2 Foster, H. A., 1924, Theoretical frequency curves and their application to <br />engineering problems: Trans. Amer. Soc. Civ. Engr., vol. 87. <br /> <br />3 Lane, E. W., and Lei, Kai, 1950, Streamflow variability: Trans. Amer. <br />Soc. Civ. Eng., vol. lIS, pp. 1084-1134. <br /> <br />