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'Kj' ; y, <br />:If ';:' 'L5 . ::'; 't=' ::, :.:: I., ,,,,; Y y,,'''lifi Ill> <br />~!i1s:. ,:",,::1:< ...._ :::: :::i'" ::;c: '~~\EH;; :~ <br />:gg""'~"_""::~I''''t-:; ..;:,$ "J~,i'....f2i 0 <br />~ <br /> <br />q <br />"c~: <br />...lis"Je ~.~" ", Ie <br />t <br /> <br />---- -~._~ ~# 0 <br />o <br />N <br /> <br />~" <br /> <br />~ . <br />"_ t:;: ..~- <br /> <br />......""..... .. <br />.. :::"'2":::",,, <br />,:.:..,f.T:'"" 0 <br />..h :s ~~: ~~~ ;:: <br /> <br />'C <br />~ <br /> <br />o <br />.. <br /> <br />'C <br />M <br /> <br />'C <br />N <br /> <br />(SN) a~v~s aaZllVWRON <br />16 <br /> <br />o <br />o <br />~ <br /> <br />o <br />o <br />" <br /> <br />'C <br />~ <br /> <br />return period and a regional skew (2). values of normalized stage(NS) can <br /> <br />be read from Fig. 5. The normalized stage is then multiplied by the "stage <br /> <br />index slopel" (Eq. 6) to obtain the height of the desired flood stage above <br /> <br />that for the 10-year flood. The stage for a flood of frequency f is thus <br /> <br />Sf SIS (NSf) + S10""," ,.......""",,(7) <br /> <br />" <br />o <br />H <br />" <br />"' <br />.. <br />1i! <br />" <br />t; <br />" <br />" <br />::! <br /> <br />Relationshio of Sta2e Index Slooe to Basin Characteristics <br /> <br />One would generally expect the stage index slope to increase with <br /> <br />tributary drainage area (because of larger flows) and the steepness of <br /> <br />the relief near and the degree of flow constriction at the flood plain <br /> <br />z <br />" <br />" <br />... <br />"' <br />" <br />8 <br />:3 <br />.. <br /> <br />_0 <br />00 ' <br />z~ <br />-+ <br />"' <br />"" <br />-< " <br />... . <br />00 <br />o <br />" ' <br />"'~ <br />N <br />H' <br />"' <br />~e <br />n <br />"' <br />zoo <br />"' <br />~~ <br />",00 <br />OO.. <br />..0 <br />H <br />""" <br />00", <br />Z" <br />0"' <br />H-< <br />...> <br />:5" <br />",0 <br />".. <br /> <br />Accuracv of Results Usinll: the "Sta2e Index Slooe" Method <br /> <br />location. Fig. 6 plots drainage areas versus "stage index slope" for the <br /> <br />51 stations used in this analysis. The "stage index slope" is seen gen. <br /> <br />erally to increase with drainage area; however, there is a wide range of <br /> <br />"stage index slopes" for any particular drainage area size. The topo- <br /> <br />graphy associated with extreme values of the IIstage index slope" is <br /> <br />shown on Figs. 7 through 10. High vslues are generally associated with <br /> <br />steep topography, particularly where the stream has a relatively flat <br /> <br />gradient, Whereas, low values are generally associated with flat topo. <br /> <br />graphy or steep stream slope. High values are also found in flat topo. <br /> <br />graphy in coastal areas where flooding is affected by hurricane tides. <br /> <br />~ <br /> <br />In order to evaluate the accuracy of the "stage index slope" method, <br /> <br />"' <br />" <br />" <br />" <br />H <br />.. <br /> <br />37 stage frequency curves were obtained from U. S. Geological Survey's <br /> <br />Hydrologic Atlases, normalized, and tabulated with regional skews (2) on <br /> <br />Table 3. Stages for the rarer floods were estimated by the "stage index <br /> <br />slopett method and compared with the stages published in the .Atlases. <br /> <br />17 <br />