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Simple Model of Farming/Gathering Transition

Model Type
SES Library XPP model

This is a stylised model capturing \"the interdependencies of foraging, farming and productivity of an ecosystem\" and can be used to \"explore alternative scenarios of niche construction and ecological inheritance.\" The model has two components, forest growth and time allocated to either foraging or farming, coupled together. Three basic model assumptions are 1) individuals are households, 2) households choose to produce either tree seeds or maize and 3) territory is open access. Allocation of time to cultivation or foraging is set up as a constrained minimisation problem.

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$$\dot{s} = r_sp -d_ss$$
$$\dot{p} = r_ps(1-p/K_p)$$
$$h_s(t) = A_s(s)l_s^\beta$$
$$h_c(t) = A_c(p)l_c$$
$$\min_{l_s, l_c}{ l_c+l_s} ext{ s.t. } l_c + l_s \leq l ext{ and } A_cl_c + A_sl_s^\beta - \underline{K} \geq 0$$
$$\dot{s} = r_sp -d_ss - Nh_s$$
$$\dot{p} = r_ps(1-p/K_p) - Nh_c$$
niche_construct.ode
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