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valuation method (CVM); (2) travel cost <br />method (TCM); and (3) hedonic property <br />value approach (McConnell 1985). The <br />CVM and TCM are commonly used in in- <br />stream flow studies. The first study to <br />quantify the economic value of alternative <br />levels of instream flow was performed by <br />Daubert and Young (1981) using the CVM. <br />Since then, the majority of instream flow <br />studies have largely relied on the CVM or <br />contingent behavior data (Loomis 1987). <br />The CVM is a market simulation approach <br />that asks people their net willingness to <br />pay for alternative river flows. The method <br />can be used to value visitors' as well as the <br />general public's willingness to pay for riv- <br />er protection. <br />The TCM is a demand estimating tech- <br />nique that quantifies visitors net willing- <br />ness to pay for recreation. Unlike the con- <br />tingent valuation method, TCM relies on <br />visitors' actual behavior to infer net will- <br />ingness to pay. To perform a benefit cost <br />analysis (BCA) of changes in recreation <br />benefits with different instream flows, it is <br />necessary to know how the TCM demand <br />function shifts with changes in instream <br />flow. However, it is often difficult to collect <br />the needed data indicating how visitation <br />rates actually change with flow levels. Past <br />applications of TCM to valuing instream <br />flow shifted the demand curves by the <br />change in visitation rates recreationists <br />stated they would make in response to al- <br />ternative river levels (Narayanan et al. 1983; <br />Ward 1987). While combining actual be- <br />havior to estimate the underlying demand <br />curve with intended behavior to estimate <br />the shift in the demand curve is clever, it <br />would be desirable to rely entirely on ac- <br />tual behavior in estimating both the un- <br />derlying demand curve as well as the shift <br />in the demand curve. <br />The contribution of this paper is in pro- <br />viding an approach for using actual data <br />to estimate both the underlying demand <br />equation as well as estimating how the de- <br />mand equation is indirectly shifted with <br />changes in flow. This is done by noting <br />that instream flow is often an input to pro- <br />ducing fishing quality; that is, river flow <br />influences both the amount (e.g., wetted <br />perimeter, depth of pools) and quality of <br />habitat (e.g., water temperature). Thus, an <br />angler might partially judge the adequacy <br />of river flows in terms of fishing quality. <br />Of course, the river flow itself may be of <br />additional value to the anglers in terms of <br />the aesthetics of the river and vigor of ri- <br />parian vegetation. <br />Nonetheless, fishing quality is certainly <br />one instream flow related variable of in- <br />terest to the angler. While the relationship <br />between instream flow and angler benefits <br />has been measured using the CVM for <br />steelhead trout (Johnson and Adams 1988), <br />it has not been measured relying only on <br />actual behavior within the TCM frame- <br />work. <br />Incorporating fishing quality into a TCM <br />to be built using secondary data is difficult. <br />If fishing quality is measured as the total <br />fish catch over some period of time it may <br />be a function of both streamflow and the <br />number of fishing trips taken to a site. Be- <br />cause of this simultaneity between fish <br />catch and trips, proper econometric pro- <br />cedure requires that a two equation system <br />be estimated. One equation is the demand <br />for trips and the other is a quasi-supply or <br />production equation for fish catch. In the <br />presence of simultaneity a single demand <br />equation that includes total fish catch may <br />result in biased and inefficient coefficient <br />estimates. Even if the relationship between <br />trips and catch is minimal, the estimation <br />of these two equations simultaneously al- <br />low the level of river flow in cubic feet per <br />second (cfs) to be explicitly incorporated <br />as the river quality control variable. Hence, <br />the effect of a change in river flow on rec- <br />reationists' benefits can be directly mea- <br />sured. No TCM studies allowing this direct <br />interaction between observed visitation <br />data and instream flow have ever been per- <br />formed (Douglas 1987). <br />THE MODEL <br />The economic benefit of maintaining in- <br />stream flow is measured as the visitor's <br />consumer surplus or net willingness to pay. <br />Consumer surplus, or maximum net will- <br />ingness to pay, is the maximum increase <br />in dollars above current costs a person <br />would be willing to pay for the purchase <br />of a good or service. Examples of a "good" <br />are a fishing trip or the viewing of a wild <br />bird. Total or gross willingness to pay is <br />1N- 24 Rivers • Volume 1, Number 1 January 1990