Table 3.
Model parameters
| Parameter | Symbol | Value | Unit | Equation | Source |
|---|---|---|---|---|---|
| Initial genetic coefficient of variation | CVG | 0.06 | – | 1 | |
| Initial heritability | h2 | 0.2 | – | 1 | |
| PMRN width | w | 20 | cm | [4] | 2 |
| Lower limit of maturation probability for defining PMRN width | pl | 0.25 | – | [4] | 3 |
| Upper limit of maturation probability for defining PMRN width | pu | 0.75 | – | [4] | 3 |
| Exponent of allometric weight-length relationship | b1 | 3 | – | [5] | 4 |
| Constant in allometric weight-length relationship | a1 | 0.01 | ![]() |
[5] | 4 |
| Exponent of allometric relationship between resource-acquisition rate and weight | 1 − b2 | 0.75 | – | [5] | 5 |
| Weight of a single egg | We | 4·10−4 | g | [6] | 6 |
| Size-independent instantaneous natural mortality rate | m0 | 0.1 | year−1 | 2 | |
| Constant in size-dependent mortality function | c1 | 2.5 | ![]() |
[7] | 2 |
| Exponent of size-dependent mortality function | d2 | 0.75 | – | [7] | 7 |
| Constant in foraging-mortality function | c2 | 0.005 | ![]() |
[8] | 2 |
| Exponent of foraging-mortality function | d3 | 4.5 | – | [8] | 2 |
| Steepness of fisheries selectivity curve | η | 0.2 | cm−1 | [9] | 8 |
| Length at 50% fisheries selectivity | L50 | 85 | cm | [9] | 8 |
| Strength of density dependence in growth | d1 | 0.25 | – | [14] | 2 |
| Biomass at which D(t) = 1 | ![]() |
1.75·108 | kg | [14] | 9 |
| Stock-recruitment constant | α | 1.877·10−6 | – | [13] | 10 |
| Stock-recruitment constant | β | 2.346·10−11 | – | [13] | 10 |
–, dimensionless parameters. Model parameters related to noise components are listed in Table 1.
Sources: (1) Within the range reported by Gjedrem (1983), Mousseau and Roff (1987), Houle (1992), and Carlson and Seamons (2008); (2) values chosen such that the life-history characteristics resemble those of Atlantic cod in its northern range (e.g., Rose and Driscoll 2002; Heino et al. 2002b; McIntyre and Hutchings 2003; Marshall et al. 2004; Olsen et al. 2004, 2005). (3) Definition of PMRN width based on quartiles. (4) Values obtained from http://www.fishbase.org. (5) Brown et al. (2004). (6) Set such that individual fecundity is in the range reported by Kjesbu et al. (1998). (7) Peterson and Wroblewski (1984); Brown et al. (2004). (8) Set to create a fisheries selectivity curve rising with reasonable steepness at lengths close to the length at maturation before harvesting. (9) Set iteratively in conjunction with stock-recruitment parameters. (10) Set to create a population of large yet computationally manageable size (ca. 220 000 individuals) in which recruitment is roughly one half of the asymptotic level α/β.



