Notation

Definition

Value

x

Distance away from the wave front

x_max

Width of the transition zone

2000 (m)

b(x)

Colonial establishment rate

n(a)

Number of individuals in a colony of age a

m(a, t, z)

Average density per unit area of colonies, of age a, at spatial location z, at time t

Z(t)

Location of the wave front at time t

N(z, t)

Average density of individuals at spatial location z, at time t

K

Environmental capacity

262 (ind. m⁻²)

r

Intrinsic growth rate

1.5

c

Maximum colonial establishment rate

c^*

Critical value of c

n₀

Number of initial individuals in a colony

3 (ind. colony⁻¹)

v

Speed of population spread

V

Relative rate of population spread, V = v/x_max