Table 1.

Variables, parameters and abbreviations in the salmon louse model.

symbol	definition (units)
F	number of farm fish in the area
P	total number of lice on farmed fish in the area
	average abundance of lice per farmed fish, P/F
L	number of free-living copepodites from lice on farmed fish
	equilibrium values of , respectively
L0	number of free-living copepodites from lice on wild fish
μ	louse mortality rate not caused by treatment of harvest (one per day)
Tg	grow-out time (farmed fish harvest rate is ) (days)
h = h1 + h2	louse mortality rate from harvest and treatment, respectively (one per day)
	scaled louse abundance used in §5.
γ	mortality rate of free-living copepodites (one per day)
β	transmission coefficient (captures per copepodite per host per unit time)
λ	natality (copepodites produced per adult female louse per unit time)
ψ	settlement success (probability an attached copepodite survives to adult)
λ0, ψ0, μ0, γ0, β0, h0	reference values for λ, ψ, μ, γ, β, h, respectively
	scaled parameter (), and similarly for
	the limit of at reference values ()
Fx	critical stocking level, given by equation (3.2)
Fx0	Fx evaluated at λ0, ψ0, μ0, β0, γ0, h0
S	salinity in parts per thousand (‰)
θ	temperature in °C
aμ, aγ, aβ, aλ, aψ	salinity coefficients of μ, γ, β, λ, ψ (1/‰)
bμ, bγ, bβ, bλ, bψ	temperature coefficients of μ, γ, β, λ, ψ (1/°C)
gm, gstd	geometric mean and standard deviation
G	weight of market fish (kg)
Kx	critical production level (kT yr–1)