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1 of flow, cover, bottom type, water movement, turbulence, etc) into things <br />he cannot see, namely, the attractiveness of those parameters from a <br />fish's viewpoint. Thus, a "mental model" of the stream reach has been <br />constructed, requiring certain data inputs (visual stimuli), data <br />manipulations (pretending one is a fish), and interpretations (whether <br />alternate stream flows would provide good habitat or not). Mental models <br />based upon an understanding of certain processes are very useful for <br />formulating a professional opinion when predicting the outcome of <br />alternative situations. They are not very useful for communicating flow <br />assessments from one person to another, particularly between individuals <br />of different disciplines. Nor are they very useful when extrapolated. <br />beyond the range of experience of the observer. <br />In order to increase its transferability and predictive ability, a <br />mental model may be expressed in written narrative form or in mathematical <br />terms. This process allows a large, complex system to be broken down into <br />a sequence of smaller, more predictable parts, which are then connected by <br />a train of logic. <br />The primary differences between the mathematical model and a word <br />model are that the complex. interactions and relationships have been <br />expressed as a variety of implicit or explicit functions, preferably <br />explicit, and the logic train is clearly stated and exposed for examin- <br />ation. If the logic of a model (i.e. , assumptions required to connect the <br />parts) does not-reflect the real world situation, it can be replaced by <br />logic that does, or at least with logic which is a=epted as approximating <br />the real world si tuati on. <br />The mathematical simulation model serves as the laboratory world in <br />which the scientist.can conduct experiments to test various hypotheses. <br />Once the model has been built and verified, an inexhaustible number of <br />management alternatives. can be simulated and the relative difference <br />between project impacts determined. There are several advantages to <br />conducting experiments in this way. For example, one might wish to <br />determine the change in depth and velocity of a river with changes in <br />discharge. These changes could be measured directly over many flows, and <br />an empirical relationship made for each variable. This process might take <br />as long as a year or two to complete, and there would still be some flows <br />which lie above- and- below the end points of the observations. These. same <br />parameters could be modeled in a much- shorter time period, and the results <br />extrapolated beyond the range of observation. Thus, modeling has the <br />advantages of time efficiency and extrapolative capability. <br />Perhaps a value or some relationship used in the model is not known <br />with any certainty, or perhaps a relationship is well documented, but its <br />importance to the system is uncertain. Various trials can be made with <br />the model, using different values for an uncertain parameter. If the <br />output of the model changes drastically, the uncertain perameter is <br />important to the system. If the uncertain parameter is not important to <br />the system, manipulation of that parameter will not greatly influence the <br />l <br />U <br />I