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HUMPBACK CHUB BIOENERGETICS <br />967 <br />TABLE 3-Corroboration results for the humpback chub bioenergetics model. The model was fit to laboratory and <br />field growth rates and p-values (proportionality constants that scale consumption according to food availability) were <br />determined. Two parameter sets were compared, one with satiation feeding (p = 1.0) and one with less than satiation <br />feeding (p < 1.0). <br />•o.. <br />.... <br />to 12 <br />tperatures in <br />) before and <br />m and for a <br />using a tem- <br />ure data are <br />61 near the <br />ez and Ryel <br />prey were <br />wboration, <br />0 iterations <br />uming sati- <br />ing feeding <br />tiation (0.0 <br />w satiation, <br />316). <br />for hump- <br />tiation and <br />:o field and <br />.eter values <br />lability es- <br />ameter val- <br />the growth <br />ration tests <br />age of 1.02 <br />below sati- <br />d averaged <br />.laboratory <br />in p values <br />•owth rates <br />her growth <br />nigher tem- <br />r and more <br />simulations <br />ameter val- <br /> <br /> <br /> <br />ife stage <br /> <br /> <br />eriod <br /> <br />Starting <br />size (g) <br /> <br />Ending <br />size (g) <br />Specific <br />Temperature growth rates <br />(°C) (%/d) Estimated p-value <br />Parameters Parameters <br />fit with fit with <br />p = 1.0 p < 1.0 <br /> <br /> <br />ources <br /> Laboratory <br />Juvenile 90 d 0.07 0.14 10 0.3 0.61 0.41 2 <br /> 90 d 0.07 0.32 14 0.7 0.82 0.60 2 <br /> 90 d 0.07 1.02 20 1.3 0.98 0.73 2 <br /> 146 d 3.7 3.6 12 0.0 0.66 0.34 3 <br /> 92 d 3.6 5.3 15 0.2 0.92 0.57 3 <br /> 238 d 3.5 t0.1 18 0.2 0.93 0.57 3 <br /> Little Colorado River <br />Subadult May-Jun 0.01 0.06 20 3.0 1.03 0.71 4 <br /> Jun-Jul 0.06 0.23 21 2.1 1.06 0.77 4 <br /> Jul-Aug 0.23 0.63 21 1.4 1.04 0.81 4 <br /> May-Jun 4.2 5.5 20 0.4 1.03 0.67 4 <br /> Jun-Jul 5.5 7.2 21 0.4 1.06 0.69 4 <br /> Jul-Aug 7.2 9.7 21 0.4 1.15 0.77 4 <br /> Age 1-2 4.7 26.6 5.0-26.5 0.2 1.10 0.68 5 <br /> Age 2-3 26.6 61.2 5.0-26.5 0.1 1.19 0.69 5 <br /> Age 3-4 61.2 97.3 5.0-26.5 0.1 1.24 0.69 5 <br /> Main-stem Colorado River <br /> Age 1-2 5.4 19.8 9.1-11.5 0.2 1.18 0.75 1 <br /> Age 2-3 19.8 44.9 9.1-11.5 0.1 1.27 0.77 1 <br />Average 1.02 0.66 <br />Minimum 0.61 0.34 <br />Maximum 1.27 0.81 <br />a 1, Valdez and Ryel (1995); 2, Clarkson and Childs (2000); 3, Gorman and VanHoosen (2000); 4, Robinson and <br />Childs (2001); and 5, U.S. Geological Survey, Grand Canyon Monitoring and Research Center, unpublished. <br />ues that were derived by assuming feeding was <br />below satiation in the laboratory growth experi- <br />ment. Parameter values for the bioenergetic model <br />for Gila spp.-humpback chub are provided in Ta- <br />ble 5. <br />As expected, optimum and maximum tempera- <br />tures for respiration and consumption were posi- <br />TABLE 4.-Energy density of prey (wet mass basis) and <br />average contribution to diet for subadult humpback chub <br />in the Grand Canyon. Diet is the average (ranges in pa- <br />rentheses) for spring, summer, and fall estimates (Valdez <br />and Ryel 1995). Energy density is from Cummins and <br />Wuycheck (1971). <br />Diet contribution <br />Average <br />Energy composition of <br />Prey taxon or category density (J/g) diet (%) <br />Simuliids 2,565 32(20-39) <br />Gammanis spp. 3,389 32(25-37) <br />Chironomids 2,744 7 (4-11) <br />Cladophora spp. 1,122 16(16-17) <br />Other aquatic invertebrates 3,176 1 (1-1) <br />Terrestrial invertebrates 3,050 12(4-19) <br />tively correlated (Pearson's product-moment cor- <br />relation coefficient), as we included a rule that <br />optimum temperatures could not be greater than <br />maximum temperature. The correlation coefficient <br />between RTO and RTM was 0.49 (P < 0.0001) <br />and between CTO and CTM was 0.48 (P < <br />0.0001). The respiration intercept (RA) was <br />strongly correlated with p (correlation coefficient <br />0.65; P < 0.001) and weakly correlated with RTO, <br />RTM, and CA (correlation coefficient < 0.2; P < <br />0.05). Other correlation coefficients were not sig- <br />nificant (P > 0.05). <br />Using the bioenergetics model, the growth rate <br />of juvenile and subadult humpback chub was pre- <br />dicted to respond in a complex manner to changes <br />in water temperature and food availability (Figure <br />3). When food availability was high, the maximum <br />potential growth rate for juvenile (4 g) and sub- <br />adult (115 g) humpback chub was at 27-28°C (Fig- <br />ure 3). At high food availability, the potential <br />growth rate declined steadily when water temper- <br />ature was below 25°C, but growth rate dropped <br />rapidly when temperature was greater than 29°C