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<br />002229 <br /> <br />These comparisons indicate minimal difference in the magnitude of errors <br />in annual streamflow volumes between the calibrat~on and verification periods <br />for all six of the drainage basins. Calibration and verification periods <br />have dry and wet years of record. Similar magnitude of errors in streamflow <br />volumes seem to occur during the calibration and verification periods. <br /> <br />To assess further the results of the predictive capability of the model, <br />an examination of some statistical properties was done. The values of <br />observed and simulated annual average streamflow for the period of record for <br />each of the six calibrated drainage basins are listed in table 6. By compar- <br />ing absolute differences in streamflow, it seems that the model does quite <br />well at predicting these annual average values. Part of this accuracy results <br />because annual streamflow volume is the primary objective function ofoptimi- <br />zation and because of the smoothing that takes place by averaging volumes for <br />dry and wet years. <br /> <br />Another statistic that is important in these semiarid drainage basins is <br />the percentage of days in the year that the stream has zero flow (table 6). <br />Comparison of the observed and simulated percent days of zero streamflow <br />indicates that as the stream approaches a perennial situation (zero percent), <br />the simulated values closely relate to the observed values. This is to be <br />expected for the statistic loses its meaning in a truly perennial situation. <br />For example, there is virtually no difference between observed and simulated <br />percent days of zero streamflow for the Wilson Creek streamflow-gaging sta~ <br />tion. In the ephemeral situation, there is zero streamflow 83 percent of the <br />time or more than 300 days a year for the observed record for the Stokes Gulch <br />streamflow-gaging station. The absolute difference between the observed and <br />simulated percentages was'3 percent. For the remainder of the streamflow- <br />gaging stations listed in table 6, the observed percent of days of zero <br />streamflow ranges from 36 to 57 percent, and the simulated values differ from <br />the observed values by 16 to 37 percent. Thus, as the number of days zero <br />streamflow approaches one-third to one-half of the year, the simulated per- <br />centages are less reliable. <br /> <br />Several factors affect these percentages. One factor is the small <br />numbers involved. A stream in this study area can have very small streamflow <br />values for many days before reaching zero streamflow. Observed streamflow was <br />less than 0.50 ft3fs at Foidel .Creek at the mouth near Oak Creek (09243900) <br />for much of the period from July through September 1979 before streamflow <br />ceased. Because of these small values, it is difficult to predict the cessa- <br />tion of streamflow. A second factor that affects simulated percentages is <br />that during September, the streamflow fluctuated between flow and zero flow. <br />Because of this fluctuation, some of the lack of fit between observed and <br />simulated streamflow results from the smoothing nature of the combination of <br />algorithms in the model. The mathematics tend to average daily situations, <br />and the random natural fluctuations are ignored. These two .factors primarily <br />result from the mathematics of the small numbers and have minimal effect on <br />the calibration of the model. These factors could account for much of the <br />difference between observed and simulated percent of days of zero streamflow. <br /> <br />18 <br /> <br />~~~;;, <br />~~',~~ <br /> <br />;~":"" <br />..' ,~,' <br />~:l:i;:' <br />~i~:;'{'\ <br /> <br />I <br />~~:~ <br />~1~ <br /> <br />i;~~:;; <br /> <br />~~I~~~ <br /> <br />;.;";~:::': <br /> <br /> <br />i <br /> <br />'<5.. <br />~~l <br />1,':,.-1" <br />~(~ <br /><;,l\ <br />(-;;~'" <br /> <br /> <br />r:~~~ <br />'~i~ <br />~~~..] <br />~;1~! <br />t4 <br />:~~j <br />t:it <br />~.'i~' <br />iff'~ <br />,1 <br />.~~ <br />0;t~ <br />I <br />i~l <br /> <br />i'~~; <br />'~,' <br />~{:.~~ ~ <br />',' . <br />;r"::, <br />?t~~};,' <br /> <br />!;.:<,'~ <br />;tc:;', <br />~:, > . <br /> <br />;:7' <br />