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CalCOFI Reports, Vol. 27, 1986 - California Cooperative Oceanic ...

CalCOFI Reports, Vol. 27, 1986 - California Cooperative Oceanic ...

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BINDMAN: 1985 NORTHERN ANCHOVY SPAWNING BIOMASSCalCOFl Rep., <strong>Vol</strong>. XXVII, <strong>1986</strong>PI = the daily egg production rate instratum 1.Mean half-day frequencies for the age data along withthe fitted curve and a 95% confidence region for theregression line are described in Figure 5. By definition,the number of eggs produced in stratum 0 is zero. Thedaily egg production rate for the total survey area andits variance (Jessen 1978) is:whereP = (Al/A) PI (4)var(P) = (1 + l/n)[(AI/A) var(P1)] (5)n = the total number of stations,AI = the area of stratum 1, andA = the total survey area.The estimates used to compute P, and their variancesare given in Table 1. P was found to be 6.41 withinstratum 1. For the entire 51,720 n.mi.2 survey area, theestimate of P is 4.78 eggs per day per 0.05 m2 with anapproximate variance of 0.33. This gives a coefficientof variation of 12.0%ADULT PARAMETERS W, F, S, AND RThe parameters W, F, S, and R were estimated from asample of adult anchovies collected by midwater trawl.For each parameter (here denoted y), a weighted mean,F, and a weighted variance were estimated (Cochran1963):wherevar6) = $i [(mi/m)2~j-y’>2]/[n(n-~~] (7)Imi = the number of fish subsampled fromthe ith trawl,fi = the average number of fish subsampledper trawl,n = the number of positive trawls,k ’z3a 6 .Wnv)00w 4U0aWm= 23z00.0 0.5 1 .0 1.5 2.0 2.5AGE (days)Figure 5. Egg mortality curve. The data are summarized as the meanabundance by half-day intervals, although the regression was fit to the individualdata points. A 95% confidence region for the regression (brokenlines) is indicated.-y, = the average value for the ith trawl = C.yjj/mj, andjyv = the observed value for thejth fish in theith trawl.Average Female WeightThe average weight of an adult female, W, and itsvariance were estimated using equations 6 and 7, whereyi was the average female weight in the ith trawl. I computedaverage female weight by selecting 25 maturefemales from each trawl; however, this was not alwayspossible because some trawl samples were too small orwere dominated by immature fish.Just prior to spawning, the eggs in a mature female’sovaries become bloated with fluid (hydrated). Icorrected for the extra weight of the hydrated eggs byregressing the weight of mature females without hydratedeggs against their ovary-free weight and then estimatingthe weight of the hydrated females as if theyTABLE 1Parameters for Computing Daily Egg ProductionStratum 0 Stratum I Total surveyP (eggs/day-0.05m2) 0 6.41 4.77var(P) 0 0.44 0.33Z (day- ’)var(Z)000.290.0070.290.007A (0.05m2) 0.904 X IO” 2.644 X IO’* 3.548 X 10l219

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