Square Root Identities for the Harvested Beverton–Holt Model

We study the effects of a periodically varying environment on a harvested discrete logistic model. This leads to the formulation of three square root identities that identify economically and sustainably favored harvest levels. We then include uncertainty in a population’s proliferation rate, which sparks a risk sensitivity analysis regarding the probability of populations falling below an unsustainable threshold. Corresponding risk sensitivity plots reveal risk ‘bow ties’.