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<br />.. <br /> <br />300 C = 30.2 (0.04); diel fluctuating temperatures <br />(mean minimum and maximum) were 180 C = 15.7 <br />(0.14) and 20.5 (0.20), 220 C = 19.5 (0.14) and 24.7 <br />(0.09), and 260 C = 23.5 (0.21) and 28.3 (0.09). <br />Larvae were fed measured aliquots of nauplii of <br />brine shrimp, Artemia sp., in morning and evening <br />at nominal amounts of 6.25,14,32,71, and 160 nau- <br />plii fish-l feeding-I; total daily food ration is report- <br />ed throughout. Periodic counts of brine shrimp nau- <br />plii indicated that nominal amounts fed were not <br />significantly different (p = 0.15) than target <br />amounts. Smallest brine shrimp nauplii were able to <br />pass through the netting, although it was qualita- <br />tively estimated that escapement was < 10%. Feed- <br />ing rates were adjusted daily when mortality oc- <br />curred. Fish did not begin feeding until 4 dafter <br />treatments began (6 d after hatching) but were sub- <br />jected to experimental treatment conditions prior <br />to feeding so that developmental rates would be <br />consistent with test temperatures. <br />Each treatment combination of temperature (18, <br />22,26, or 300 C), regime (fluctuating or constant), <br />and food abundance (12.5,28,64,142, or 320 nauplii <br />fish-l day-I) was replicated three times, except that <br />the 220 C constant regime treatment (with five ra- <br />tion levels) was conducted in both 1991 and 1992 to <br />test for annual variation, and no 300 C fluctuating <br />treatment was conducted due to lack of space. Thus, <br />a total of 120 experimental units was used. <br />Survival in aquaria was monitored daily by mak- <br />ing counts of larvae until successive counts were the <br />same. Dead fish were removed, labelled, and pre- <br />served in 100% ethanol. Experiments were ended <br />when 750 degree days were accumulated: 41.7 d for <br />180 C treatments (fluctuating and constant regimes <br />had similar thermal units); 34 d for 220 C treat- <br />ments; 28.8 d for 260 C treatments; and 25 d for the <br />constant 300 C. Remaining larvae were counted, <br />preserved, and measured (nearest 0.1 mm TL). <br />Shrinkage of preserved specimens was < 3 % of <br />fresh TL (unpublished data) so no correction was <br />made. Mean growth rate (mm d-1) for each replicate <br />was based on the surviving fish. <br /> <br />199 <br /> <br />Statistical analysis <br /> <br />Response surface analysis can efficiently show the <br />joint effects on a response of different levels of one <br />or more independent variables. Therefore, re- <br />sponse surface methods were used to analyze ex- <br />perimental data, where growth (G) and survival (S) <br />were response variables and regime, temperature, <br />and food abundance were the independent varia- <br />bles. Growth (mm d-l) data were analyzed with <br />PROC RSREG (SAS Institute 1988) to obtain <br />least-squares estimates of model coefficients; sur- <br />vival data (as logit S = In (Y/N-Y), where Y = num- <br />ber surviving out of20 (N) individuals) were model- <br />ed in PROC GENMOD (SAS Institute 1993) to ob- <br />tain maximum likelihood estimates of model coeffi- <br />cients and standard errors. Regression models had <br />the form <br /> <br />Y = ~o + ~IXI + ~2X2 + ~3X3 + ~l1X/ + <br />~22X22 + ~33X/ + ~12XIX2 + ~13XIX3 + ~23X2X3 + <br />~123XIX2X3 + E, <br /> <br />where in this instance, Y = G or logit (S); Xl = water <br />temperature; X2 = food abundance; X3 = fluctuat- <br />ing or constant regime; ~o = intercept; ~l' ~2' ~3 = <br />coefficients of linear terms; ~11' ~22' ~33 = coefficients <br />of quadratic terms; ~12' ~13' ~23' ~123 = coefficients of <br />cross products; E = random error, normal (G model) <br />or binomial (S model) distribution. Rationale for <br />response surface designs and analyses is detailed in <br />Box & Draper (1987). Recent applications to ex- <br />perimental data and supporting discussions are in <br />Clancy & King (1993) and Scholz et al. (1994). <br />Global growth and survival response models <br />were first constructed with all independent varia- <br />bles with final growth model selection based on <br />Mallows Cp and final survival model selection based <br />on Akaike's information criterion (AIC) adjusted <br />for overdispersed data (QAIC), sensu Anderson et <br />al. (1994). Unique optima of response variables <br />with respect to independent variables was achieved <br />by setting the partial derivatives equal to zero and <br />solving. Lack-of-fit (LOF) tests, residual plots, and <br />model F-statistics were computed to determine ad- <br />equacy of the growth model fit to the data. F-statis- <br />tics were used to determine if functions satisfied the <br />