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<br />hydraulic simulation; calculation of joint depth, velocity, substrate composi- <br />tion, and vegetative cover distributions; determination of probability of use <br />at all possible combinations of these parameters; and determination of the <br />weighted usable area for the instream activity of interest (see Bovee and <br />Cochnauer, 1977 and Hyra, 1978). <br />Hydraulic simulation is a mathematical description of the physical <br />characteristics of a stream reach. <br /> <br />. <br />. <br /> <br />, <br /> <br />In the simplest of examples, a series of <br />measurements of depth, velocity, and width <br />across a crosssec tion (transec t) describes <br />the spatial distribution of depths and <br />ve loc ities wi thin the crosssec tion at the <br />discharge (flow) which was measured. <br />Repetition of the process at many dis- <br />charges {"ould result in a different des- <br />cription of these distributions at each <br />discharge measured. Extension of the <br />process to several crosssections ... allows <br />the description of such distributions for a <br />stream reach (Milhous and Bovee, 1978). <br /> <br />The simulation allows estimation of the stream surface area for each possible <br />combination of the hydraulic parameters. <br />Probability-of-use curves derived from field observations or individual <br />capture locations indicate the relation between hydraulic parameters and <br />frequency of use. For example, juvenile cutthroat trout range in depths from <br />0.5-4 ft. Outside this range, probability of use is zero. The depth with the <br />greatest frequency of observation, 1.5 ft, is assigned a probability of use of <br />1. O. Mul tiplying the probability of use for separate parameters yields the <br />joint probability of use. Thus, the probability of use for juvenile cutthroat <br />trout at a depth of 1.5 ft, a velocity of 2 ftls, a temperature of 400F, and <br />a substrate composed of gravel is 0.15 0.0 x 0.4 x 0.6 x 0.6 = 0.144) (Bovee, <br />1978) . <br />Multiplication of the areas by the joint probabilities of use and summa- <br />tion yields the "weighted usable area" for the activity of interest. In this <br />scheme, 100 ft2 of stream surface with a probability of use of 1.0 are <br />equivalent to 500 ft2 with a probability of use of 0.2. The final task is <br />projecting changes arising from new storage reservoirs or depletions. <br />Obviously this requires detailed information concerning natural flow condi- <br />tions (such as mean monthly discharge), existing and projected consumption <br />patterns, location of diversion and return flow canals, and reservoir opera- <br />ting policies. <br />Though the Incremental Methodology represents the "state of the art" for <br />streamflow evaluation, there are other competing methodologies with different <br />time and resource requirements. As a successor to the stream classification <br />project, the US Fish and wildlife Service has current contracts with 12 <br />Western States to evaluate several of these methodologies under a variety of <br />stream morphologies and habitats and to quantify streamflows necessary to <br />protect the most critical fisheries.S These activities offer great promise <br /> <br />5personal communication, Jeff Johnson, US F&WS, Denver, Colorado, May, 1979. <br /> <br />4 <br />