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Estimated ocean catch of<br />

surrogates from hatchery i<br />

Sum over age<br />

Cˆ<br />

Estimating wild ocean catch<br />

Total Ocean catch from wild stock i<br />

Onj<br />

∑<br />

= age<br />

⎛<br />

⎜<br />

Cˆ<br />

⎜<br />

⎝ n<br />

O<br />

O<br />

xb<br />

ia<br />

∑ ⎟ ⎟<br />

⎞<br />

Cˆ<br />

T + Eˆ<br />

nja nja<br />

⎟<br />

⎠ ⎛<br />

⎞<br />

⎜<br />

Cˆ<br />

Tj Eˆ<br />

j Eˆ<br />

, α<br />

j,<br />

β<br />

tbija<br />

+ zbija,<br />

α + zbija,<br />

β<br />

⎜ j ⎝<br />

nTj<br />

nEj,<br />

α nEj,<br />

β ⎠<br />

Estimated age a wild escapement<br />

<strong>and</strong> freshwater catch <strong>for</strong> watershed j<br />

Estimated age a surrogate escapement<br />

<strong>and</strong> freshwater catch <strong>for</strong> watershed j

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