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<br />~t = time interval (tl - t2) <br /> <br />For the Logan and Blacksmith bulldozed sites mean weights were calculated <br />for the entire study site as were growth rates because of low numbers of fish <br />in these areas. <br /> <br />Population change rate. Changes in population numbers between successive <br />estimates result from either movement or mortality or a combination of these <br />changes. Population change rates were calculated using both components since <br />there was no way nor need to effectively distinguish between them. This rate <br />was assumed to be exponential and was calculated as follows (equation 4): <br /> <br />1 n Nl - 1 n N2 <br />Y = ~t (6) <br /> <br />where: Y = instantaneous population change rate <br />Nl, N2 = population estimates for a year class at times tl and t2 <br /> <br />ln = natural 10garithm <br />~t = time interval between estimates (t2 - tl) <br /> <br />Production. Biomass (standing crop) of a year class was calculated as <br />follows (equation 7): <br /> <br />B = "WN <br /> <br />(7) <br /> <br />where: w = mean weight for a year class <br />N = estimated number for a year class <br /> <br />Mean biomass of a year class (Bl) between collections was obtained by fo11owing <br />Chapman 1968 (equation 8): <br /> <br />Bo {e(G - Y} - l} <br />B. = <br />1 (G - Y) <br /> <br />(8) <br /> <br />where: Bo = biomass of a year class at the beginning of the time <br />interval between samplings <br />G,Y = instantaneous growth and population change rates, <br />respectively, for the period between samplings <br /> <br />Production {P} is calculated for a cohort (i) over a time interval (t) using <br />equation 9: <br /> <br />Pit = GitBit <br /> <br />( 9) <br /> <br />where: Git = instantaneous growth rate for cohort (i) during time <br />interval (t) <br />Bit = mean biomass of cohort (i) during time interval (t) <br /> <br />For dates when mean weights were available, but population estimates were <br />not (e.g. during spring floods), the production was calculated for the time <br /> <br />18 <br />