Economics and Ecology: the need for Detente in Conservation Ecology

TABLE 1: Example model of an economic system, E, interacting with a natural system, N. The combined system is diagrammed in Fig. 1. [See erratum.]

dE₁/dt = I - b₁E₁ + eE₁N₂,		E₁(.) = 10
dE₂/dt = b₁E₁ - b₂E₂ - eE₂,		E₂(.) = 10

dN₁/dt = P - a₁N₁N₂ - a₂N₁, N₁(.) = 315.23

dN₂/dt = a₁N₁N₂ - eE₁ - a₃N₂N₃ + a₄N₄N₂, N₂(.) = 316.23

dN₃/dt = a₃N₂N₃ - a₅N₃N₄, N₃(.) = 631.46

dN₄/dt = a₂N₁ + a₅N₃N₄ + eE₂ - a₄N₄N₂ - a₆N₄², N₄(.) = 316.23

I = 1.0

b₁ = 0.1 = b₂

e = 0.0

P = 1000

a₁ = 0.01 = a₂ = a₃ = a₄ = a₅ = a₆

dN₁/dt = P - a₁N₁N₂ - a₂N₁,		N₁(.) = 315.23
dN₂/dt = a₁N₁N₂ - eE₁ - a₃N₂N₃ + a₄N₄N₂,		N₂(.) = 316.23
dN₃/dt = a₃N₂N₃ - a₅N₃N₄,		N₃(.) = 631.46
dN₄/dt = a₂N₁ + a₅N₃N₄ + eE₂ - a₄N₄N₂ - a₆N₄²,		N₄(.) = 316.23

I	= 1.0
b₁	= 0.1 = b₂
e	= 0.0
P	= 1000
a₁	= 0.01 = a₂ = a₃ = a₄ = a₅ = a₆