Harvesting strategies for a randomly fluctuating population

Authors: D. Ludwig, 1980.

This is a short but deceptively simple paper. Ludwig compares several harvesting strategies under three different growth models. The stochastic component of each process is described by equations of the form

$ E(dN) = [f(N) - N - qeN]dt$
$ E(dN^2) = 2 \epsilon N^2 dt$

where $E$ represents expectation and $e$ represents effort. The models are all the basic form

$ dN/dt = f(N) - N - qEN$,

where $f$ takes different forms depending on the particular growth model. The models are thus not spatially explicit. Randomness is dispensed with by assuming an optimal feedback policy and deriving a differential equation for discounted expected yield as a function of initial population size.

TODO:

figure out how how he generated his tables (and maybe re-generate them.)