Table 1.

Model parameters and values

Model parameter	Symbol	Value
Dynamic size spectrum
Biomass conversion efficiency	K	0.2
Search rate scaling exponent	α	0.8
Search rate constant	A	600 m3 year−1g−α
Preferred log predator-to-prey mass ratio	β	5
Diet breadth	σ	1.5
Intrinsic mortality constant	μi,0	1 year−1
Intrinsic mortality scaling exponent	ξi	0.25
Mass at onset of senescent mortality	w0 exp(xs)	440 g
Senescent mortality scaling exponent	ξs	5
Fish life history
Mass of egg	w0	0.001 g
Mass at maturation midpoint	w0 exp(xm)	150 g
Asymptotic mass	w0 exp(x∞)	1000 g
Reproduction function exponent	ρ	0.2
Controls the width of the transition from immaturity to maturity	ρm	10
Fixed plankton size spectrum
Maximum body mass of plankton	w0 exp(xp)	0.001 g
Plankton density at x0	u0p	100 m−3
Plankton size spectrum exponent	−γ	−2
Fishing
Fishing mortality	F	0–2.5 year−1
Minimum capture size	w0 exp(xf)	150 g