Marginal value theorem (MVT) explains:
The marginal value theorem predicts how long a forager should remain in a resource patch when travel between patches consumes time. Within a patch, cumulative gain rises but usually decelerates because preferred items are depleted, prey hide, or interference increases. The instantaneous, or marginal, gain rate therefore falls with residence time. Leaving too early wastes travel investment, whereas staying too long yields returns below those available elsewhere. The optimal departure point occurs where the tangent from the travel-time intercept touches the cumulative gain curve; equivalently, c
Ref: Ecology: Concepts and Applications, Molles, 9th Ed., Ch. 14