Fishery Dynamics and Management
SUNY Geneseo
October 7, 2026
\[ S_{t+1}=S_t+G(S_t)-H_t. \]
\[ H(S,E)=qES. \]
\[ S_{t+1}=80+6.4-12.8=73.6. \]
\(R(E)\) \(=\) \(1{,}000\,Y(E)\)
\(C(E)\) \(=\) \(600E\)
\(\text{Annual net benefit}\) \(=\) \(R(E)-C(E)\)
Suppose the cost of an effort unit falls, while fish price and catchability stay unchanged.
A fish stock is declining. Boats compete to catch fish quickly, and some catch goes unreported.