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.rticle] <br />2002). <br />:7anyon <br />I River, <br />]as and <br />npback <br />A were <br />ife Ser- <br />specific <br />ng" the <br />in adult <br />at least <br />ninimi- <br />he most <br />td Can- <br />:mpera- <br />n Dam, <br />ies, and <br />ainbow <br />t Salmo <br />HUMPBACK CHUB BIOENERGETICS <br />Alternatives to minimize or remove threats to <br />humpback chub recovery have been discussed and <br />planned for over a decade (USFWS 1990). Re- <br />moval of potential predators, competitors, or both <br />is a management action that is currently underway. <br />Rainbow trout prey on juvenile and subadult <br />humpback chub (Valdez and Ryel 1995) and may <br />be an important source of mortality. In 2003, over <br />6,000 rainbow trout were removed from the Col- <br />orado River in the reaches above and below the <br />confluence of the Little Colorado River, a major <br />spawning site and nursery habitat for this popu- <br />lation of humpback chub. This removal program <br />reduced the local trout population by about 90% <br />(Grand Canyon Monitoring and Research Center, <br />U.S. Geological Survey [GCMRC], unpublished). <br />Installation of a temperature control device <br />(TCD) at Glen Canyon Dam is another manage- <br />ment action being discussed. Hypolimnetic water <br />from Glen Canyon Dam is released into the lower <br />Colorado River causing temperatures to be 9-12°C <br />year-round; the historic temperature range is about <br />2-26°C (Kaeding and Zimmerman 1983; Stevens <br />et al. 1997). Modifications to Glen Canyon Dam <br />being considered would enable water managers to <br />release warmer surface water into the lower Col- <br />orado River during part of the year (USDI 1999). <br />Warmwater releases would partially simulate the <br />historic temperature patterns and would presum- <br />ably improve the growth rates of humpback chub. <br />Warmer water would also minimize temperature <br />shock for juvenile humpback chub entering the <br />Colorado River from warmwater tributaries, thus <br />increasing their rate of survival. However, there <br />has also been speculation that warmer water could <br />increase competition, predation mortality, or both <br />for humpback chub by altering the feeding patterns <br />or increasing the growth rates of rainbow or brown <br />trout (USDI 1999; Robinson and Childs 2001). <br />Predictive tools are needed to assist managers <br />and researchers in evaluating the potential out- <br />comes of actions such as predator removal and <br />temperature modifications in large river systems. <br />Models that integrate physical factors such as tem- <br />perature and biological processes such as feeding <br />rates should be especially useful, allowing man- <br />agers to run divergent scenarios and eliminate ac- <br />tions with little chance of success. We developed <br />a bioenergetics model for humpback chub and ap- <br />plied the model to simulate how water temperature <br />changes may influence the growth rate and food <br />requirements of humpback chub. Results are dis- <br />cussed in the context of management options, <br />961 <br />needs for specific data to improve the model, and <br />data needed to test hypotheses in the field. <br />Methods <br />Humpback chub model development and parameter <br />estimation.-The general bioenergetics model is <br />G = C - (R + SDA + F + E), <br />where G is growth, C is consumption, R is res- <br />piration, SDA is specific dynamic action, F is ex- <br />cretion, and E is egestion (Jobling 1994; Hanson <br />et al. 1997). Consumption was modeled as <br />C = Cm.-p'.l7), <br />where Cmax is the maximum rate of food intake for <br />an individual of a given size, p is a proportionality <br />constant that scales consumption according to food <br />availability, and f(T) is a temperature dependence <br />function. The maximum rate of food intake, C., is <br />an allometric function of fish mass W (g), namely, <br />Cm. = CA • WcB, <br />where CA and CB are fit parameters. Respiration <br />is modeled as <br />R = (RA • W-) • f(T) • ACT, <br />where ACT is a multiplier for fish activity and RA <br />and RB are allometrically fit parameters. We used <br />the warmwater form for the temperature (T) de- <br />pendence of C and R (Kitchell et al. 1977; equation <br />(2) in Hanson et al. 1997), which allows specifi- <br />cation of optimal (CTO, RTO) and maximal (CTM, <br />RTM) temperatures and includes a measure similar <br />to Q10, the factor by which a physiological rate <br />increases with a 10°C increase, that approximates <br />the rate at which the function increases over rel- <br />atively low water temperatures (CQ, RQ). For C, <br />the temperature function is <br />f(T) = VX.e[x•0-hl <br />where <br />V = (CTM - T)/(CTM - CTO); <br />X = {Z2•[1 + (1 + 40/x)0.5]21/400, <br />Z = log e(CQ) • (CTM - CTO), and <br />Y = log,(CQ) • (CTM - CTO + 2). <br />The respiration temperature function has the <br />same form, but CTM, CTO, and CQ are replaced <br />by RTM, RTO, and RQ, respectively. These tem- <br />perature-dependence equations have been used to