<br />The paper, "Regional Flood Frequency Analysis in the Plains Region of Colorado and Kansas", was authored
<br />by Wilbert O. Thomas, Jr., and Jeffrey N. King of Michael Baker, Jr., Inc. and Michael Grimm of FEMA, and
<br />was presented at the 1999 Annual Conference of the Association of State Floodplain Managers. The paper
<br />presents the analysis of records at 42 gaging stations in Colorado, Kansas, Nebraska, New Mexico, Oklahoma,
<br />and Wyoming. An intent of the authors was to evaluate the effect of basin shape on flood discharges. One of
<br />the products of the research was a regression equation that relates the 1-percent-annual-chance discharge to
<br />watershed and climatic characteristics as follows:
<br />
<br />EEMA
<br />
<br />upstream to the Arapahoe-Elbert County line. According to UDFCD guidance, design points were established
<br />so that sub-basins would be no larger than 130 acres, and the average size was about 75 acres. The watershed
<br />of Box Elder Creek above Arapahoe County, measuring about 127 square miles, was also modeled to provide
<br />representative inflow hydrographs at the upstream study limit. Its analysis was less detailed, with sub-basins
<br />limited in area to 10 square miles (again according to UDFCD guidance) and averaging about 7 square.miles
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<br />1)
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<br />(Equation
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<br />76
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<br />0.937 SF-{J.
<br />
<br />/100
<br />
<br />48DA-<l.lO
<br />
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<br />Ql% = 218.8DA
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<br />The modeling results from the 1994 Box Elder Creek study contrasted sharply with the values developed and
<br />used for the PISs, which were calculated, like those for Comanche and Little Comanche Creeks, using USGS
<br />Water Supply Paper 1680. The 100-year flow from the Adams County PIS for Box Elder Creek at Interstate
<br />70 is 26,300 cubic feet per second (cfs). However, for the same point on the creek, the CUHP-UDSWM2
<br />modeling effort from the 1994 study produced 100-year flows of only 8,900 cfs under existing conditions of
<br />development and just 12,000 cfs under future conditions
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<br />the channel length squared divided by the drainage area.
<br />
<br />Water Conservation Board produced a draft procedure for estimating 100-year flows in
<br />This method is a regional regression equation solution, based on analysis of flow gaging
<br />records on state streams. which uses drainage area as its sole independent variable and is stated as follows
<br />
<br />in inches,
<br />shape factor defined as
<br />
<br />Where:
<br />DA = drainage area in square miles,
<br />1100 = 100-year 24-hour-duration rainfal
<br />SF = a dimensionless basin
<br />
<br />CWCB
<br />
<br />In 1999, the Colorado
<br />Colorado streams
<br />
<br />FEMA Consultation
<br />
<br />Since a primary goal of the Comanche and Wolf Creek study is to prepare a floodplain map and supporting
<br />information that would satisfy FEMA's requirements for revising the County's Flood Insurance Rate Maps,
<br />project staff met with the Region 8 Representative to review available information and establish a course of
<br />action that FEMA would approve. The representative acknowledged that the flows in the PISs were suspect
<br />and agreed that the modeling procedure used for the Box Elder Creek study would be appropriate to implement
<br />for Comanche and Wolf Creeks. Even though these creeks lie outside the UDFCD service area, the similarity
<br />between their watersheds and the Box Elder watershed was considered sufficient to warrant use of the UDFCD
<br />procedure. However, FEMA set the condition that values be calculated by other regional regression
<br />equations and compared to PIS flows and computer
<br />
<br />flow
<br />model results
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<br />(Equation 2)
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<br />00 = 707.9 (DA) .654
<br />
<br />Q
<br />
<br />where DA = drainage area (sq mi)
<br />
<br />should not be used in place of rigorous flow record analysis or
<br />100-year flow, but rather to obtain a reasonable approximation
<br />
<br />This procedure is still in draft form and
<br />hydrologic modeling to determine a definitive
<br />of the flow for general purposes
<br />
<br />HYDROLOGY ANALYSIS
<br />
<br />Estimates of 100-year flood flows were made using three regression equations and a computer model. A
<br />comparison of the flows estimated by the four methods and the original PIS flows was made to confirm the
<br />reasonableness of the computer modeling results. Additional flow estimates were made on Comanche Creek
<br />for the 10, 50 and 500-year storms to update the detailed study reach in Section 34, T3S, R62W.
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<br />USGS
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<br />A study was begun in 1994 by the U.S. Geological Survey, in cooperation with the Colorado Department of
<br />Transportation and the Bureau of Land Management, to include streamflow data collected since water year
<br />1981 in the regionalized flood-frequency relations for Colorado. Longer periods of streamflow data and
<br />improved statistical analysis methods were used to define regression relations for estimating peak discharges
<br />having recurrence intervals of 2, 5, 10, 25, 50, 100, 200, and 500 years for unregulated streams in Colorado.
<br />The regression relations can be applied to sites of interest on gaged and ungaged streams. Ordinary
<br />least-squares regression was used to determine the best explanatory basin or climatic characteristic variables
<br />for each peak-discharge characteristic, and generalized least-squares regression was used to determine the best
<br />regression relation. Drainage-basin area, mean annual precipitation, and mean basin slope were determined to
<br />be statistically significant explanatory variables in the regression relations. Separate regression relations were
<br />developed for each of five distinct hydrologic regions in the State. The mean standard errors of estimate and
<br />average standard error of prediction associated :with the regression relations generally ranged from 40 to
<br />80 percent, except for one hydrologic region where the errors ranged from about 200 to 300 percent
<br />
<br />Regression Equations
<br />
<br />FEMA requested that the procedure outlined in the document "Regional Flood Frequency Analysis in the
<br />Plains Region of Colorado and Kansas" (Reference No.4) be used to calculate 100-year flows for comparison
<br />to the computer model results and the previously calculated flows from the PISs. The Colorado Water
<br />Conservation Board (CWCB) has also developed a regression equation for estimating 100-year flows in
<br />Colorado. The development and application of this equation is presented in a publication entitled, "Guidelines
<br />for Determining 100-Year Flood Flows for Approximate Floodplains in Colorado, Version 4.0" (Reference
<br />No.5). A third equation has been developed by the U.S. Geological Survey (USGS) and is documented in a
<br />publication entitled "Analysis of the Magnitude and Frequency of Floods in Colorado (Reference No: 6). Each
<br />of these equations was applied to portions of the watershed to calculate flows at key locations
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<br />McLaughlin Water Engineers
<br />P:\2000\A0-029\OO300\Final Aoodplain Reporl\Final Reporl.doc
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<br />2
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<br />Comanche Creek and Wolf Creek
<br />Floodplain Study. May 2002
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