  Resource competition theory predicts coexistence and exclusion patterns based
on species R*s, the minimum resource values required for a species to persist.
A central assumption of the theory is that all species have equal access to
resources. However, many systems are characterized by preemption exploitation,
where some species deplete resources before their competitors can access them
(e.g., asymmetric light competition, contest competition among animals). We
hypothesize that coexistence under preemption requires an R*-preemption
tradeoff, i.e., the species with the priority access should have a higher R*
(lower efficiency). Thus, we developed an extension of resource competition
theory to investigate partial and total preemption (in the latter, the
preemptor is unaffected by species with lower preemption rank). We found that
an R*-preemption tradeoff is a necessary condition for coexistence in all
models. Moreover, under total preemption, the tradeoff alone is sufficient for
coexistence. In contrast, under partial preemption, more conditions are needed,
which restricts the parameter space of coexistence. Finally, we discussed the
implications of our finding for seemingly distinct tradeoffs, which we view as
special cases of R*-preemption tradeoff. These tradeoffs include the
digger-grazer, the competition-colonization, and tradeoffs related to light
competition between trees and understories.
