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<br />REGIONAL ANALYSES OF STREAMFLOW CHARACTERISTICS <br /> <br />7 <br /> <br />. <br /> <br />Use of short records on small streams <br /> <br />. <br /> <br />The usual regional analysis is based on some <br />long records and some short ones. Records of <br />floods from small drainage areas are usually <br />short; consequently even the 10-year flood <br />may be poorly defined. In this case a regional <br />analysis by one of the methods previously de- <br />scribed will tend to produce results of low <br />reliability. On the other hand, there may be <br />more independence among the records for <br />small streams than among those for large <br />streams; if so, this should lead to increased <br />reliability. <br /> <br />The conterminous United States is covered <br />by regional flood-frequency analyses, general- <br />ly based on data for the larger streams. Since <br />those analyses were made, 10 or more years of <br />record have become available at many small- <br />basin crest-stage gage sites, and the demand <br />for flood frequency characteristics of small <br />streams has greatly increased. The short rec- <br />ords on small streams could be used with the <br />records from larger areas to produce another <br />regional analysis, one that would encompass <br />the whole range of drainage area sizes. Such <br />a procedure probably would give the best an- <br />swer, but one which would more or less dupli- <br />cate the available results for the larger drain- <br />age areas. Furthermore, 5 years from now one <br />might be justified in reanalyzing the records <br />from the small areas, and this would call for <br />another general analysis, resulting in more <br />duplication (or confusion). <br /> <br />Therefore, it is sometimes desirable to pro- <br />duce a regional analysis limited to small drain- i <br />age areas, one that will not duplicate or con- <br />flict to any substantial extent with recently <br />published analyses. This can be done in several <br />ways. <br /> <br />Given a regional analysis by the index-flood <br />method, the defined relations can be extrapo- <br />lated to small drainage areas. If the mean <br />annual floods for the crest-stage stations <br />check the extrapolated curves, the existing <br />regional analysis may be considered applica- <br />ble to small drainage areas. If not, the curves <br />should be modified as indicated. <br /> <br />Likewise, regression equations from an <br />existing regional analysis may be checked <br /> <br />. <br /> <br />against data from small drainage areas. If <br />this check indicates that those equations are <br />not applicable, and if time and money are <br />limited, a regression analysis applicable only <br />to small drainage areas could be made. Be- <br />cause of the short records available, such a <br />regression usually will have a large standard <br />error. Graphical regression may be adequate. <br />An example, given in figure 4, is based on data <br />used by Boner and Omang (1967). Note that <br />some of the small10-year floods based on short <br />records have been given little weight in de- <br />fining the relation of figure 4. Some of the <br />10-year floods at the larger drainage areas are <br />defined by many years of record and are used <br />to tie this relation into one based on records <br />for large streams. <br />At many sites on small streams, both flood <br />hydrographs and the causative rainfalls at <br />short time intervals (15 minutes or so) are <br />being collected. After a few years, these data <br />should be adequate to calibrate a hydrologic <br />basin model such as the one described by <br />Dawdy, Lichty, and Bergmann (1972). Then <br />a long record of precipitation can be used to <br />synthesize additional flood peaks. These syn- <br />thetic peaks can be combined with those of <br />record to define the frequency curve to recur- <br />rence intervals of 50 years or more. Using <br />frequency curves defined to that length, a <br />standard regionalization process should give <br />good results. The practicability of the method <br />depends on obtaining a good relation between <br />floods and precipitation and on the availabil- <br />ity of an applicable long precipitation record. <br /> <br />Defining the flow characteristic <br /> <br />The better the frequency curves which <br />form the basis for the regionalized relation, <br />the better that relation will be. Therefore, <br />some effort should be made to improve the <br />frequency curves. Where data are available, <br />the rainfall-runoff approach described above <br />can be used. Another method, utilizing his- <br />torical data is described by Dalrymple (1960). <br />Sometimes the definition of a frequency curve <br />can be improved by correlation with a longer <br />record, but this procedure generally results <br />in improvement only if the correlation co- <br />efficient between the two records is greater <br />