Abstract
A simple graphical model is presented illustrating the balance between facilitation and competition necessary for maximizing crop yield in alley cropping systems. Three functions are composed into the decision function: (1) the percent increase in crop yield from facilitation resulting from prunings, (2) the amount of prunings resulting from different tree densities, and (3) the percent reduction in crop yield from competition from trees. The resulting function illustrates how the balance between facilitation and competition may provide a window of opportunity for the beneficial use of alley crops.
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