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Last modified
11/23/2009 10:50:51 AM
Creation date
10/4/2006 9:15:44 PM
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Floodplain Documents
County
Statewide
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State of Colorado
Title
Users Manual for Program PEAKFQ, Annual Flood Frequency Analysis Using Bulletin 17B Guidelines
Date
1/30/1998
Prepared By
USGS
Floodplain - Doc Type
Educational/Technical/Reference Information
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<br />Select the method that provides 'the most accurate es!imate of the skew coefficient, Compare the MSE <br />from the isoline map to the MSE for the prediction equati9n. The smaller MSE should then be compared to <br />the variauce of the data. If the MSE is significantly smaller than the variance, the method with the smaller <br />MSE should be used and that MSE used in equation 22 to predict the weighted skew coefficient, for MSEG . <br />If the smaller MSE is not significantly smaller than the variance, neither the isoline map nor the prediction <br />equation provides a more accurate estimate of the skew cgefficient than does the mean value. The mean <br />skew coefficient should be used as it provides the most acpurate estimate and the variance should be used <br />in equation 22 for MSEG . <br />In the absence of detailed studies, the generalized sj(ew coefficient (G) can be read from Plate I <br />, <br />found in the fiyleafpocket of Bulletin 17B. This map of generalized skew coefficients was developed when <br />this bulletin was first introduced and has not been change~. The procedures used to develop the statistical <br />analysis for the individual stations do not conform in all a~pects to the procedures recommended in the <br />, <br />current guide. However, Plate 1 is still considered an alte11fative for use with the guide for those who prefer <br />not to develop their own generalized skew procedures. <br />The accuracy of a regional generalized skew relatiopship is generally not comparable to Plate 1 <br />accuracy. While the average accuracy of Plate 1 is given, the accuracy of subregions within the United <br />States are not given. A comparison should only be made between relationships that cover approximately the <br />same geographical area. <br /> <br />Computation of Weighted Skew Coefficient <br /> <br />The station and generalized skew coefficient can be: combined to form a better estimate of the skew <br />coefficient for a given watershed. Under the assumption t~at the generalized skew coefficient is unbiased <br />and independent of the station skew coefficient, the MSE :of the weighted estimate is minimized by <br />weighting the station and generalized skew coefficient in inverse proportion to their individual MSE's. This <br />concept is expressed in the following equation adopted from Tasker (1978), which should be used in <br />computing a weighted skew coefficient: <br /> <br />MSEG(G) + MSEG (G) <br />Gw = ' <br />MSEG + MSEG <br /> <br />(18) <br /> <br />where Gw = weighted skew coefficient, <br />G = station skew coefficient, <br />G = generalized skew coefficient, <br />MSEG = mean-square error of generalized skew co~fficient, and <br />MSEG = mean-square error of station skew coeffici~nt. <br />Equation 18 can be used to estimate a weighted sk'1\v coefficient regardless of the source of <br />, <br />generalized skew coefficient, provided the MSE of the generalized skew coefficient can be estimated. When <br />generalized skew coefficients are read from Plate 1, the value of MSEG = 0.302 should be used in equation <br />18. The MSE of the station skew for log-Pearson Type III random variables can be obtained from the results <br /> <br />PEAKFQ <br /> <br />11 <br /> <br />DRAFT" 1/30/98 <br />
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