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Tustemena Lake 2006 - Cook Inlet Aquaculture Association, Kenai ...

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The proportions of age 1, age 2, and age 3 smolts were calculated using the data computed from<br />

the aforementioned notations and formulas with the following notations and formulas:<br />

U i = total unmarked population size for age class = i;<br />

U h = total unmarked population size for stratum = h;<br />

U hi = total unmarked population size for age class i, in stratum = h;<br />

P i = proportion of unmarked smolt for age class = i;<br />

P h = proportion of unmarked smolt for stratum = h;<br />

P hi = proportion of unmarked smolt for age class = i, in stratum = h;<br />

a i = total number of samples of age class = i;<br />

The estimated number of migrating age = i smolts was calculated as:<br />

U = ∑U<br />

Proportion of age = i smolts was calculated as:<br />

Pi<br />

= 1<br />

∑U<br />

hPhi<br />

U<br />

The variance of the proportion of age = i smolts in stratum = h was calculated as:<br />

v<br />

i<br />

( P )<br />

hi<br />

=<br />

Phi<br />

a<br />

h<br />

P<br />

hi<br />

( 1−<br />

P )<br />

h<br />

−1<br />

The variance of the number of age = i smolts in stratum = h was calculated as:<br />

hi<br />

v<br />

2<br />

2<br />

( U ) = U v( P ) + P ( U ) − v( U )( P )<br />

hi<br />

h<br />

hi<br />

hi<br />

h<br />

h<br />

hi<br />

Therefore, the variance of the estimated number of age = i smolts was calculated as:<br />

v<br />

( U ) v( U )<br />

i<br />

∑<br />

=<br />

hi<br />

Confidence intervals (95%) estimates for number of age = i smolts are:<br />

U ± 1. 96<br />

v<br />

( )<br />

i<br />

U i<br />

Since 1976, ADF&G or CIAA has released sockeye salmon fry directly to Tustumena <strong>Lake</strong> or to<br />

Bear Creek, a tributary of Tustumena <strong>Lake</strong>, for rearing in Tustumena <strong>Lake</strong>. Since 1996, CIAA<br />

9

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