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<br />OTOLITH MICROSTRUCTURE OF COLORADO SQUAWFISH <br /> <br />107 <br /> <br />crements of each otolith were counted three times <br />by the senior author without knowledge of the <br />treatment. The three counts were averaged. A sec- <br />ond experienced reader also counted increments <br />for the 220C treatments (constant and fluctuating <br />temperatures) to determine the extent of reader <br />variation or systematic bias. <br />Each otolith increment consisted of a relatively <br />wide, light-opaque inner band (L-zone) and a rel- <br />atively narrow and dark outside band (D-zone; ter- <br />minology after Kalish et al. 1995). The first in- <br />crement was one of relatively high contrast (dis- <br />tinct L-zone) that surrounded the otolith core. The <br />outer margins of otoliths examined for age vali- <br />dation were almost always opaque. We interpreted <br />this as representing the L-zone for the day the fish <br />was sampled and counted it as the last increment. <br />We used least-squares regression of increment <br />count (dependent variable) as a function of known <br />age (independent variable) to test the hypotheses <br />that (1) increments were first formed at hatch and <br />(2) that detectable increments were formed daily. <br />Regression intercepts not significantly different <br />than zero (increment count == 0 at hatch) would <br />support hypothesis (1), and regression slopes not <br />significantly different from one would support hy- <br />pothesis (2) (e.g., Rice 1987). Instead of con- <br />ducting retrospective (a posteriori) power analysis <br />to detect the likelihood of type II statistical errors <br />and an arbitrary effect size, we calculated confi- <br />dence intervals about intercept and slope esti- <br />mates. Like power analysis, which is mostly a pro- <br />spective (a priori) experimental design tool (Steidl <br />et al. 1997), confidence intervals allow assessment <br />of the magnitude of effect that is detectable with <br />the data and offer straightforward measures of the <br />reliability of parameter estimates. Because age of <br />wild fish will be estimated from counts of daily <br />increments, prediction intervals were calculated <br />for known (true) age (independent variable) via <br />inverse regression (Draper and Smith 1981; Rice <br />1987) instead of for estimated age (dependent vari- <br />able). <br />Analysis of covariance (ANCOV A) was used <br />both to investigate reader bias (via comparisons of <br />estimated age with true age) and to detect effects <br />of temperature on periodicity of increment for- <br />mation. The ANCOV A interaction of treatment X <br />class variable (reader or temperature) and the class <br />variable terms of the analysis tested for homoge- <br />neity of regression line slopes and intercepts, re- <br />spectively, among treatments. In addition to hy- <br />pothesis tests such as ANCOV A that determine if <br />treatments were statistically significant, least- <br /> <br />squares means (population marginal means; Searle <br />et al. 1980) were calculated for groups (or treat- <br />ments) after covariates were accounted for. Dif- <br />ferences between treatment means and confidence <br />intervals around those differences give informa- <br />tion about the biological significance of treat- <br />ments, regardless of results of statistical tests <br />(Yoccoz 1991; Johnson 1995). <br />Preserved specimens were used to assess rela- <br />tionships between otolith size and fish total length <br />and to calculate slope and intercept parameters for <br />use in back-calculation of fish lengths at previous <br />ages (Carlander 1981). Effects of temperature lev- <br />el and regime (constant or fluctuating) on otolith <br />growth were tested by ANCOV A. <br /> <br />Growth Effects <br /> <br />Variables affecting otolith and somatic (body <br />length) growth were studied in four experiments. <br />Experiment 1 was to determine if otolith growth <br />rates were directly proportional to somatic growth <br />when fish had different somatic growth rates. Fish <br />from single slow- and fast-growth treatment aquar- <br />ia (which differed in stocking rate: Table 1) were <br />sampled at 3, 22, 28, 56, 82, and 122 d of age and <br />preserved in 100% ethanol. In this experiment and <br />the ones that follow, individual fish from single <br />aquaria were treated as statistically independent <br />experimental units. Three to 10 specimens per pe- <br />riod and treatment (depending upon availability) <br />were measured for total length (TL), and the left <br />lapillus was removed from each fish and measured <br />as described above. Analysis of covariance and <br />least-squares means were used to compare differ- <br />ences in otolith size between treatments. <br />Experiment 2 was to determine somatic and oto- <br />lith growth rates before, during, and after a 6-d <br />starvation period. Healthy and actively feeding lI- <br />d-old larvae were lightly anaesthetized with tri- <br />caine (MS-222, 100 mglL), measured (TL) under <br />a dissecting microscope fitted with an ocular mi- <br />crometer, allowed to recover, placed in 0.24-L cups <br />(one per cup), and assigned to a temperature treat- <br />ment (constant or fluctuating temperature centered <br />on 220C; Table 1). Each larva was remeasured after <br />6 d more of feeding, after 6 d of starvation, and <br />after 6 d of renewed feeding. Two fish from each <br />treatment regime died during anaesthesia or were <br />physically damaged, so their complete growth his- <br />tories were not available. Diameter of the left la- <br />pillus from each fish was measured at 1,000X mag- <br />nification. <br />In experiment 3, groups of 200 larvae 6 d old <br />(age at first feeding) were randomly assigned to <br />