Where is the maximum sustainable yield typically located on a sigmoid curve?

The maximum sustainable yield (MSY) is typically located near the midpoint of a sigmoid growth curve. This point represents the ideal balance where the population growth is maximized without leading to overexploitation or depletion of the resource.

In the early stages of the curve, the population is usually below its carrying capacity, resulting in rapid growth. As resources become more limited, growth begins to slow, leading to the sigmoid shape. The maximum sustainable yield occurs before the population reaches its carrying capacity, where the growth rate is still positive but not so rapid that it jeopardizes the long-term health of the population.

The significance of the midpoint lies in its ability to provide a sustainable harvest level, ensuring that the population can stabilize at a size that maintains ecological balance and avoids the risks of population collapse or resource exhaustion.