(a) stage-dependent parameters
|
σj |
annual survival in stage j
|
0.5 (cv = 20.7%) |
0.7 (cv = 10.6%) |
0.9 (cv = 3.1%) |
γj |
transition probability from stage j to stage j + 1 |
0.1 |
0.01 |
— |
ϕj |
per capita fecundity |
0 |
104 (cv = 30%) |
105 (cv = 30%) |
rdj |
range of dispersal of 90% of individuals in stage j
|
1 km 90% retention rate (cv = 30%) |
1 km 90% retention rate (cv = 30%) |
1 km 90% retention rate (cv = 30%) |
wj |
body-mass (prices) [arbitrary units] |
0.2 |
1 |
5 |
qj |
catchability (effort−1 y−1) |
0 |
0.1 (cv = 30%) |
0.15 (cv = 30%) |
(b) other model parameters
|
σ0max
|
larval survival at low density |
1.986 × 10−3 (cv = 30%) |
|
|
δ |
strength of density-dependence in larval settlement |
3.817 × 10−6 (cv = 30%) |
|
|
GCR |
Goodyear compensation ratio |
10 |
|
|
rdL
|
range of dispersal of 90% of larvae |
between 5 and 100 km (cv = 30%) |
|
|
φ |
scaling parameter proportional to effort aggregation in the areas of highest biomass |
2 (cv = 30%) |
|
|
TAC |
total allowable catch (eqn S9 in the electronic supplementary material) |
= (1 − e−fMSY) × biomass in stage 2 and 3 (with a 30% cv in stock assessment) |
|
|
S |
number of contiguous patches of suitable habitat along the coastline (each patch 1 km long) |
100 |
|
|