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<br />IV. DATA GENERATION <br /> <br />N <br />i-" <br />CO <br />CO <br /> <br />The purpose of this section is to describe how the results of the <br />analysi, of historic and modified data were used to generate syn- <br />thetic ,treamflow for the Colorado River Basin. <br /> <br />4. 1 Pre>cedure <br /> <br />The pretious discussion has described the method used to represent a <br />time series. The specific steps for generating the flows of the model <br />will no~ be shown. In all cases where either a flow or concentration <br />was gen~rated, the same time series structure was utilized. The <br />differe~ces which make each station unique are the value of the <br />coeffic1ents and the dependence on adjacent stations. The p~operties <br />defining each station have been shown in the previous chapter. The <br />remainihg discussion centers upon the relationship between stations. <br />Since qpantities such as the monthly means and standard deviations, <br />the sarlal correlation coefficient, and the shape of the distribution <br />functiop of the random components are unique attributes of each flow <br />or salinity time series, the only freedom remaining is in the sampling <br />of the random component. Thus, the variation from station to statia <br />away fr~m its expected mean monthly value is determined by the random <br />compone~t. In a basinwide drought period, flow at a majority of the <br />stationJ wpuld tend to be generated from low valued random components. <br />Similar~y, in wet sequences many stations would show high values of <br />their random component. <br /> <br />4.2 Muatiple ReRression Results <br /> <br />Computet rUns were made to find which stations (using flow residuals) <br />should ~e included in the regression equation and what the coeffi- <br />cients ~ere. To illustrate the results of the analysis, a list of <br />each stktion number and its node and sequence point is given in <br />table 2_ The regression analysis results are then associated by <br />station'numbers in table 3. The tabulated coefficients may also be <br />found ih the computer list of input data for the synthetic hydrology <br />generation, Appendix 3. <br /> <br />4.3 Geperated Flows <br /> <br />A computer program was written to perform the mathematical steps for <br />calcula~ing synthetic streamflow sequences at all points of interest <br />in the Colorado River Basin. The actual program description will not <br />be incl~ded in this report. The results of each run were stored on <br />magneti~ tapes which became input for the basin simulation model. <br /> <br />25 <br /> <br />_--.__ ;"'d, <br /> <br />