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<br />f .000.000 <br />E <br /> <br />INDIVIDUAL PEAKS <br />OF RECORD <br /> <br /> <br />" <br /> <br /> <br />Q <br />Z <br />o <br />frl 100,000 <br /><Jl <br />c:: <br />W <br />0.. <br />0- <br />W <br />W <br />LL <br />o <br />a; <br />~ <br />o <br />;:; <br />~ <br />W <br />c:l <br />c:: <br /><( <br />J: <br />o <br /><Jl <br />i5 <br />" <br /><( <br />W <br />0.. <br /> <br />100 <br /> <br />0_ = 10.soo A1.12(A0..5 + sr1.37 . .. <br />when area is equal to or ;._ :l.. :.;= <br />greaterthan 1.0 miZ ... ...1 .~..,.. . <br />,. _._ .4. <br />....,.._..;............"':. <br />.~ ..;;!;.:........",.. .. <br />.,",~ .... .t._. <br />..." .~';''';;,L. ..,. <br />.- .t;~it....,.,_.. ... <br />. ~.-.~~ ..-..... -. <br />-: ...J.~ :-.... <br />",. leA ~...-r.. ... ,. <br />:'C"..~..:....~~ ..~. ..., <br />_.~~ti":.~:. - <br />..__..... .- 4 .... . <br />. ..~.#.-..---:f.. I'. <br />. ~:"';~:."'I\.......~ .. <br />,..".t;:~ :.-,,-.; .' <br />...:: ,:~. '" ~ te. ?::.:.: .. . . <br />. ..i'-..... ~t....t....... . ......~..... <br />_.r-~. .... .. .. <br />. .!--.":'... ::. .. ~ - :\'''. -. <br />.. -. T, ."'. : .roo. <br />~.",.. ... ... "'. <br />.", "'_ .r., ...",.. ~ <br />... "': .. l_,"~:: -; . it:... . <br />. . - . .. . <br />. ",. -,.. . . <br />. ..~ ... "'::. ~ <br />. ",. '" ~ _... '" .1- <br />"'. ... ~... - '" . '" '" <br />-",:o..: : '" - "'. . <br />.... .. .. <br />..- . <br />..-- ."',;. <br /> <br />" <br /> <br />.!!! <br /> <br />\,000 <br /> <br /> <br /><Oft <br />,,- <br />:a e <br />cC! <br />,,- <br />i5 <br /><= <br />O. <br />o. <br />G>.!! <br />. <br />J <br /> <br /> <br />-J <br /> <br />10.000 <br /> <br />~ <br /> <br />10 <br />0.1 <br /> <br />: <br /> <br />1 10 100 1.000 <br />DRAINAGE AREA (A), IN SQUARE MILES <br /> <br />10.000 <br /> <br />FIGURE 2.7 Selected peak discharges and regional envelope curve. SOURCE: Meyer, 1994. <br /> <br />periods of regulated flow. Note that most of the larger Sierra Nevada streams have <br />been regulated during the period since 1950, when floods have been most severe on <br />the American River and neighboring rivers. <br />Other problems result from spatial correlation and heterogeneity. Floods on <br />large rivers in California are highly correlated in space, making it difficult to estimate <br />probabilities of exceeding envelope discharges. For example, the annual flood <br />discharges of the seven Sierra Nevada rivers used in Chapter 3 to compute a regional <br />skew (Table 3.2) have an average pairwise cross correlation of 0.87. Furthermore <br />California streams and rivers are highly heterogeneous with respect to flood <br />magnitudes. Basins with the same drainage area are likely to vary in the magnitude <br />of the floods they produce. For example, four floods on the American River (Table <br />2.2) have peak discharges within 10% of the envelope discharge of 267,000 cfs; of <br />these, the peak discharge of the 1997 flood was estimated to be about 10% larger. <br />Given the precision of flood peak estimates, these four observations essentially lie on <br />the Meyers envelope curve, indicating that the curve does not provide an upper <br />bound for American River floods. This combination of strong heterogeneity and <br />spatial correlation makes it difficult to estimate probabilities of exceeding envelope <br />discharges. <br /> <br />- <br /> <br />36 <br /> <br />Improving American River Flood Frequency Analyses <br />