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<br />382 <br /> <br />j, KORMAN, S, M, \\lELE AND M, TORIZZO <br /> <br />where q is the catchability coefficient (Hilborn and ,Walters, 1992), Catchability can be defined as the proportion of <br />the stock caught by one unit of effort, or more explicitly as the ratio of the area swept by the sampling gear (a) to <br />the area over which the fish are distributed (A). that is, q = a/A, The majority of sampling in Grand Canyon for <br />juvenile fish is conducted in relatively sh3110w and low-\'elocity habitat, and the area swept at each site (n) is rela- <br />tively const;mt among trips, The area over which fish are distributed (A), however, will presumably increase with <br />increases in the amount of suitable habitat. If we assume that reductions in discharge from GeD increase the <br />amount of low-velocity shallow habitat and, hence, increase the amount of suitable habitat, we would expect <br />a/A (= q) to decrease, In this situation. CPE would decline proportionally with the increase in A even though stock <br />size remained unchanged, The use of a numerical habitat model to estimate the degree of change in suitable habitat <br />area is warranted, even if the objective is simply to ex.amine the potential for changes in discharge to introduce bias <br />and variation in CPE data, <br />In this paper. we use a two-dimensional hydrodynamic model (Wiele e/ 0/" 1996) to examine how operation of <br />GCD has affected the availability of suitable habitat and the dispersal of young native fish, We apply the model to <br />seven reaches in the critical humpback chub rearing area immediately downstream from the LCR to develop a <br />series of relations between the availability of suitable habitat and discharge, The effect of impoundment and his- <br />torical operating regimes on habitat is evaluated by comparing monthly statistics of suitable habitat availability <br />computed from the habitat-discharge relations and hourly discharge data, We also quantify the amount of suitable <br />habitat that persists over a typical 24-hour period. and examine how it changes in response [Q historical differences <br />in the amount of variation in hourly discharge. We compute changes in suitable area that occurred during fish sam- <br />pling trips conducted in 1993 to examine the potential for discharge-driven changes in suitable habitat area to intro- <br />duce bias and variation into CPE data, Finally, we use a particle-tracking algorithm to examine how discharge and <br />assumptions about swimming behaviour affect the ability of young fish to remain in critical rearing areas down- <br />stream from the LCR, We discuss our results in the conte~t o[ current hYP'ltheses abaut humpback. chub juvenile <br />survival in the Colorado River and operational flow regimes from GCD. <br /> <br />STUDY SITE <br /> <br />Hydrodynamics and habitat availability were modelled in seven study reaches in the mainstem Colorado River <br />below the confluence of the LCR (Figure I), The spatial distribution of reaches that we modelled has considerable <br />overlap with the range of the LCRlmainstem humpback chub aggregation (river km 91-110; Valdez and Ryel, <br />1995), Our study reaches cover 3,6 km of this habitat (199<) between river km 99 and 107 (Table I), <br />The complex flow patterns in the study reaches result from the irregular bedrock channel, large-scale blocks <br />along the channel sides, and debris fans (Figure 2), Debris flows and floods from streams in side canyons (Howard <br />and Dolan. 1981; Schmidt. 1987; Webb el a/" 1989; Schmidt and Graf. 1990; Schmidt and Graf. 1990; Melis elal,. <br />1994; Schmidt and Rubin. 1995) form debris fans that partially constrict the channel. and recirculation zones are <br />generated in the lee of the channel constrictions, Deep holes typically Occur in the bedrock channel downstream <br />from debris fans, The spacing between debris fans is controlled largely by bedrock structure (Dolan el a/,. 1978), <br /> <br />Table I. Length and welted areas al two different discharges for model reaches <br /> <br />Welted area (m' x 10]) <br /> <br />Reach <br /> <br />Length <br />(m) <br /> <br />498 <br />328 <br />258 <br />253 <br />448 <br />890 <br />993 <br /> <br />3668 <br /> <br />84m]!, <br /> <br />907 m]!s <br /> <br />Rt <br />R2 <br />R3 <br />R4 <br />R5 <br />ALe <br />PAL <br /> <br />39 <br />34 <br />26 <br />25 <br />68 <br />83 <br />III <br />386 <br /> <br />57 <br />41 <br />32 <br />41 <br />78 <br />117 <br />165 <br /> <br />531 <br /> <br />Total <br /> <br />Copyright (Q 2004 John Wil~y & Sons. Ud. <br /> <br />River R~s. Applic. 20: 379-400 (2004) <br />