Poor soils and high rainfall mean that the high productivity of the forests, an assumption that drives the development of the forest zone, is an illusion. The potential of the forests to produce meat, from wild or domestic herbivores, is limited. Growing human populations and shrinking forests accelerate pressures on forest resources faster than national statistics indicate. A simulation model demonstrates the effects of growing hunting pressure on one monkey and two duiker species. A version of this model that includes random variation shows that large harvests can be obtained for many years, but that a population collapse can happen suddenly; there is no period of gradually declining harvests. The accelerating hunting pressure in a zone of low productivity, shrinking habitat for monkeys and antelopes, the dynamics of non-linear systems, and natural environmental variation that affects reproduction and survival will lead to a collapse of hunted populations across the forest zone. We are now seeing the bushmeat boom and soon we will see the bushmeat bust.