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applications. For example, use of the Manning equation, assuming uniform <br />flow, or even the stage-discharge approach, can result in predicted water <br />surface elevations higher at downstream stations than at upstream <br />stations. This may be caused by errors introduced during data collection, <br />or by failure to account for changes in the bed elevation adequately. <br />This problem can result in the appearance that water is running uphill, <br />cause for alarm in engineering work. This error is real and reflects a <br />mistake, but in respect to depth, this error is usually small. If <br />sections are 100' apart or more, an error of tO.05 feet is acceptable; if <br />outside this range, additional data collection may be warranted. The <br />following section deals with the more-serious. limitations of the various <br />approaches which can have an effect on the accuracy and reliability of the <br />predicted hydraulic conditions and, therefore, on the instream flow <br />recommendation itself. <br />GENERAL LIMITATIONS IN HYDRAULIC SIMULATION <br />The major problem encountered with the types of hydraulic simula- <br />tions discussed in this paper, is that predictions of hydraulic conditions <br />are made using as few discharge measurements as possible. Over a wide <br />range of flows, certain processes occur in the natural channel which <br />affect the relationship between stage and discharge, as well as the <br />velocity distribution. These processes may introduce significant errors <br />into any hydraulic prediction, regardless of the method used. Several <br />characteristics of open channel flow and factors affecting the stage- <br />discharge relationship are discussed below. Factors related to on-site <br />channel conditions will be discussed in greater detail in the section on <br />site selection. <br />Extended over a very wide range of flows, from essentially zero flow <br />to overbank, many channels will exhibit an S-shaped rating curve such as <br />that shown in Figure 7. As the channel fills from a zero flow stage, much <br />of the discharge is accomodated by increasing the width of channel filled <br />with water. After the channel width is essentially filled, increases in <br />discharge are accompanied by well-behaved increases in stage. If the <br />flows of interest lie along this straight portion of the rating curve, <br />accurate predictions are possible with relatively few measured <br />discharges. As the discharge overtops the banks, the additional flow is <br />again reflected in an increase in width (and velocity), and the increase <br />in stage is proportionately less. The degree to which changes in the <br />stage-discharge relationship occur is primarily a function of channel <br />shape. If the range of flows of interest for instream flow studies <br />includes extremely low or high flow conditions, the investigator should be <br />prepared to collect additional stage-discharge data as required to define <br />the rating curve under those conditions. <br />A related phenomenon occurs in alluvial channels (a channel cutting <br />through previously deposited materials; primarily, those streams having <br />unconsolidated gravel, sand, or silt beds). In these streams the bed <br />material is often moved by the stream, especially at the higher dis- <br />charges. These streams often exhibit a stage-discharge relationship <br />23