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r <br />962 <br />PETERSEN AND PAUKERT <br />TABLE 1.-Bioenergetic parameters derived from the peer-reviewed literature for cyprinids. Mass and temperature are <br />the ranges studied or modeled. Abbreviations are as follows: CTO = optimal temperature for consumption; RTO = <br />optimal temperature for respiration; CTM = maximum temperature for consumption; RTM = maximum temperature <br />for respiration; CQ and RQ = the rates at which the temperature function increases at relatively low water temperatures <br />for consumption and respiration, respectively; CA and CB = the intercept and slope of the function for the maximum <br />rate of consumption; and NA = not available from publication. See Text for more details. <br />Temperature CTO, RTO CTM, RTM <br />Species Mass (g) (°C) (°C) (°C) <br />Bream Abramis brama 71-345 9-26 25.8b - 27 8b - <br />Bleak Alburnus alburnus <1 20 - - - - <br />Silver bream Blicca bjoerknae 111-211 9-26 25.8b, - 27.8b, - <br />Gibel Carassius auratus gibelio 857-1,144 9-26 25.8b, - 27.8b, - <br />Common carp Cyprinus carpio 473-1,331 9-26 25.8b, - 27.8b, - <br /> 800-1,200 6-15 - - -, - <br />Utah chub Gila atraria <1-41 6-22 -,22 -, 24b <br />Mohave tui chub Gila bicolor mohavensis NA 18-30 -, 32d -, 35 <br />Northern redbelly dace Phoxinus eos 1-3 5-24 26,29 29, 32 <br />Eurasian minnow Phoxinus phoxinus <3.0 5-15 15b, 15b 17b, 17b <br />Fathead minnow Pimephales promelas <1-6 20-25 24.0, 28.0 30.0, 33.0 <br />Northern pikeminnow Ptychocheilus oregonensis 500-2,000 5-21 29.9, 21b 27.0, 23b <br />Colorado pikeminnow Ptychocheilus lucius 1-3 15-30 25,- 30,- <br />Speckled dace Rhinichthys osculus <1-7 6-22 -, 18 -, 20b <br />Roach Rutilus rutilus 20-239 9-26 25.8b, - 27.8b, - <br /> 20-70 10-21 27, 30 30,33 <br />s 1, Black and Bulkley (1985); 2, Cech et al. (1994); 3, Cui and Wooton (1988a; 1988b; 1989a; 1989b); 4, Duffy (1998); 5, He (1986); <br />6, Hofer et al. (1982; 1985); 7, Horppila and Peltonen (1997); 8, Keckeis and Schiemer (1990; 1992); 9, McClanahan et al. (1986); 10, <br />Petersen and Ward (1999); 11, Rajagopal and Kramer (1974); 12, Specziar (2002); 13, Stecyk and Farrell (2002); 14, Vigg and Burley <br />(1991). <br />b No observed maximum in study; optimum was the highest tested or observed temperature; maximum was optimum plus 2°C. <br />e Also known as Abramis bjoerkna. <br />d Estimate. <br />e Active oxygen consumption. <br />model warm- and cool-water species such as yel- <br />low perch Perca flavescens, fathead minnow Pi- <br />mephales promelas, dace Phoxinus spp., large- <br />mouth bass Micropterus salmoides, and small- <br />mouth bass M. dolomieu (Kitchell et al. 1977; Rice <br />et al. 1983; Duffy 1998). Specific dynamic action <br />(SDA) was assumed to be 0.15 (He 1986; Shuter <br />and Post 1990). We assumed that egestion, F, and <br />excretion, E, were constant proportions (0.1) of <br />consumption (Hanson et al. 1997; Duffy 1998). <br />Since species-specific parameters were not <br />available for humpback chub, a Monte Carlo fil- <br />tering method was used to develop and test model <br />parameters (Rose et al. 1991; Petersen and Ga- <br />domski 1994). Monte Carlo filtering is a procedure <br />for randomly sampling within a range of parameter <br />values in a model, running the simulation model <br />with these parameter values to produce some out- <br />put, and statistically comparing the output to a test <br />criterion, which may be from field or laboratory <br />studies (Rose et al. 1991). If model output is not <br />different from the test criterion, then the particular <br />parameter value or set of parameter values are as- <br />sumed to be acceptable. Numerous iterations of <br />the simulation model can be conducted, each with <br />a different random set of parameter values, even- <br />tually generating many sets of parameter values. <br />To decide on the final parameter values among the <br />acceptable sets, central tendency, ranking, or other <br />techniques can be applied. <br />We first assumed that taxonomic relationships, <br />especially fish in the same genus as humpback <br />chub, could be used to set the upper and lower <br />bounds on parameters for consumption and res- <br />piration in a bioenergetics model. Peer-reviewed <br />literature was surveyed for energetic studies on <br />cyprinids, particularly those studies that contained <br />allometric and temperature-dependent functions or <br />data. From this literature, we collated as many of <br />the specific parameters as possible, along with the <br />size range of fish studied and the temperature over <br />which experiments were conducted (Table 1). For <br />some studies we were able to use data in tables or <br />figures to calculate specific parameters. Tabulated <br />parameter values for Gila spp. were used to es- <br />tablish upper and lower bounds for Monte Carlo <br />filtering. Because we did not have bounds on all <br />parameters for Gila spp. (Table 1), we used fathead <br />minnow as the next most "similar" species, know- <br />ing that fathead minnow is successful in the lower <br />TABLE 1.-E) <br />Bream Abramis br <br />Bleak Alburnus al. <br />Silver bream Blicc <br />Gibel Carassius a <br />Common carp Cyl <br />Utah chub Gila at <br />Mohave tui chub <br />Northern redbelly <br />Eurasian minnow <br />Fathead minnow ] <br />Northern pikernum, <br />Colorado pikemiru <br />Speckled dace Rhi <br />Roach Rutilus ruti <br />Colorado Rit <br />niche in the <br />merman 1983 <br />physiology as <br />For develo <br />model, the p, <br />sumption and <br />32°C (Tables <br />of temperatur <br />respiration pa <br />suming that 1 <br />had evolved i <br />TABLE 2.-R <br />Parameters not <br />Q10 approximat