title: A resolution of the paradox of enrichment.
abstract: Theoretical studies have shown a paradoxical destabilizing response of predator-prey ecosystems to enrichment, but there is the gap between the intuitive view of nature and this theoretical prediction. We studied a minimal predator-prey system (a two predator-two prey system) in which the paradox of enrichment pattern can vanish; the destabilization with enrichment is reversed, leading to stabilization (a decrease in the amplitude of oscillation of population densities). For resolution of the paradox, two conditions must be met: (1) the same prey species must be preferred as a dietary item by both predator species, creating the potential for high exploitative competition between the predator species, and (2), while both predators are assumed to select their diet in accordance with optimal diet utilization theory, one predator must be a specialist and the other a generalist. In this system, the presence of a less profitable prey species can cause the increase in population oscillation amplitudes associated with increasing enrichment to be suppressed via the optimal diet utilization of the generalist predator. The resulting stabilization is explained by the mitigating effect of the less profitable prey showing better population growth with increasing enrichment on the destabilization underlying the specialist predator and prey relation, thus resolving the paradox of enrichment.
authors.affiliation: Graduate School of Fisheries Sciences, Hokkaido University, Hakodate 041-8611, Japan. mougi@fish.hokudai.ac.jp
authors.forename: Akihiko
authors.initials: A
authors.lastname: Mougi
authors.forename: Kinya
authors.initials: K
authors.lastname: Nishimura
mesh_terms: D000818:Animals; D044822:Biodiversity; D004032:Diet; D017753:Ecosystem; D053476:Extinction, Biological; D020387:Food Chain; D008954:Models, Biological; D011157:Population Dynamics; D011235:Predatory Behavior