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Appendix C. Notation and symbols.

Indices
a area (1,...,A) (includes escapement);
g gear (1,...,G);
s stock (1,...,S); stocks 1 to J are marked for selective removal; J + 1 to S are unmarked.
t time (1,...,T)
Parameters
a,g parameter for simulation of error in effort prediction;
a,g parameter for simulation of error in effort prediction;
g probability of recognizing unmarked fish in selective fishery;
g probability of recognizing fish marked for selective removal;
a,g daily bag limit per unit of effort;
a,g parameter for simulation of management error in achieving target catch;
a,g parameter for simulation of management error in achieving target catch;
g mortality rate of fish released after capture with fishing gear;
i monthly survival rate from natural mortality;
a,g,t probability of encountering an unmarked fish in selective fishery;
Ma,g minimum size limit;
qa,g,t catchability coefficient;
s parameter for survival rate from smolt to recruitment at age 3;
s parameter for survival rate from smolt to recruitment at age 3;
s,a,b,t probability fish will move from area a to area b;
a,g,t probability of sampling a tagged fish;
a,g,t2 parameter for length of fish;
a,g,t parameter for length of fish;
Variables
Cs,a,g,t catch of stock in fishery;
C.,a,g,t total catch in fishery;
C/fa,g,t catch per unit of fishing effort;
Ds,a,g,t stock specific incidental fishing mortality associated with selective fishery;
D.,a,g,t total incidental fishing mortality associated with selective fishery;
Es,a,t escapement of stock;
fa,g,t fishing effort;
Fs,a,b,t total mortality by stock of sublegal sized fish in fishery;
F.,a,b,t total mortality of sublegal sized fish in fishery;
Gs escapement goal for stock;
Ha,g harvest rate in area;
Is,a,b,t number of fish which move from area a to area b;
Ka,g,t number of unmarked fish encountered;
La,g,t length of fish;
Ns,a,t stock abundance in area;
N*s,a,t stock abundance in area after natural mortality;
N.,a,t total stock abundance in area;
C.,a,g,t target catch in terminal fishery managed for escapement objective;
pa,g,t probability of capture;
Ps number of recruits;
Ps* number of recruits after natural mortality;
Qa,g,t number of sublegal fish encountered;
Rs number of smolts;
Ts,a terminal run size for stock in fishing area where fishery control is an escapement goal;
us survival from smolt to recruitment at age 3;
Va,g,t number of unmarked fish released in selective fishery;
W1 number of unmarked fish encountered in a selective fishery;
W2 number of marked fish encountered in a selective fishery;
Ya,g,t number of fish encountered in a fishery;
Zs,a,t stock abundance in area at end of time period;

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Selective Fishery Simulation Model Specifications