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<br />690 <br /> <br />OSMUNDSON ET AL. <br /> <br />dom-number sequences. Mean and variance of <br />7-year-old fish as determined by scales was used <br />to generate an initial size distribution. For a sim- <br />ulated population of 103 fish in each age, lengths <br />at each age were calculated based upon simulated <br />distributions of sizes in the previous age-class. <br />Range of ages expected for given lengths was also <br />calculated from these simulations. <br />To aid in constructing growth simulations, sta- <br />tistical tests were conducted to determine if growth <br />in one year was related to growth the following <br />year (i.e., whether individual fish consistently <br />grew more than the average) and whether mean <br />growth in some years was greater than in other <br />years. Contingency table analysis was conducted <br />with fish captured in multiple years to test the re- <br />lationship of individual growth between years. We <br />used analysis of covariance (initial length as co- <br />variate) to test for differences among years for <br />1991-1995. <br /> <br />Survival <br />Estimates.-Survival rates were estimated for <br />Colorado squawfish 550 mm and longer. We as- <br />sumed that survival rates of juveniles and suba- <br />dults were probably different from adults but had <br />no way of assessing them. Estimates were limited <br />to upper-reach adults (Figure 1) because longitu- <br />dinal variation in size distributions, coupled with <br />unequal sampling effort between reaches, could <br />have biased whole-river length distributions. The <br />estimates were limited to fish 550 mm and longer <br />because Seethaler (1978) reported immature fish <br />as large as 503 mm TL. Estimates were made with <br />a modified Chapman-Robson approach (Seber <br />1982), in which survival is based on declining <br />numbers of individuals by age in the population. <br />Because captured fish were not reliably aged, <br />survival estimates were made by comparing <br />lengths of captured fish with theoretical length dis- <br />tributions under the following assumptions (con- <br />sistent with Ricker 1975): (1) survival rate is uni- <br />form with age over the range of ages examined; <br />(2) survival rate is uniform over time and does not <br />vary among years; (3) recruitment to the first size <br />examined is equal among years; and (4) the sample <br />is uniformly drawn from all ages-lengths consid- <br />ered (i.e., there is no effect of gear selectivity). <br />Theoretical length distributions (termed stable <br />length distributions) were calculated from age dis- <br />tributions, assuming constant survival rates and <br />constant recruitment into the youngest age-class <br />(termed stable age distributions), and the gener- <br />ated age-length distributions (Figure 2). The sta- <br /> <br />- <br />*' <br />- <br /> <br />A <br /> <br />>- <br />o <br />C <br />0> <br />:J <br />C- <br />O> <br />L. <br />U. <br /> <br /> <br />Age (years) <br /> <br />- <br />E <br />E <br />- <br /> <br />B <br /> <br /> <br />~ <br />+oJ <br />0) <br />C <br />0> <br />CCS <br />+oJ <br />t2 <br /> <br />1ttH <br />t <br /> <br />Age (years) <br /> <br />- <br />*' <br />- <br /> <br /> <br />>- <br />o <br />C <br />0> <br />:J <br />c- <br />O> <br />L. <br />U. <br /> <br />Length (mm) <br /> <br />FIGURE 2.-Calculation of stable length distribution <br />(C) from stable age distribution (A) and age-length dis- <br />tribution (B). The stable age distribution assumes a con- <br />stant survival rate and rate of recruitment into the youn- <br />gest age-class. Age-length distributions are calculated <br />from distributions of growth increments based on total <br />length. The stable length distribution was calculated by <br />using relative number of fish for each length as deter- <br />mined by age-length frequency distribution and relative <br />number of fish by age. <br />