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. 2009 Aug;2(3):394–414. doi: 10.1111/j.1752-4571.2009.00077.x

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 Inline graphic [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 Inline graphic [7] 2
Exponent of size-dependent mortality function d2 0.75 [7] 7
Constant in foraging-mortality function c2 0.005 Inline graphic [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 Inline graphic 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.