A stoichiometric exception to the competitive exclusion principle
نویسندگان
چکیده
The competitive exclusion principle (CEP) states that no equilibrium is possible if n species exploit fewer than n resources. This principle does not appear to hold in nature, where high biodiversity is commonly observed, even in seemingly homeogenous habitats. Although various mechanisms, such as spatial heterogeneity or chaotic fluctuations, have been proposed to explain this coexistence, none of them invalidates this principle. Here we evaluate whether principles of ecological stoichiometry can help in understanding the stable maintenance of biodiverse communities. Stoichiometric analysis recognizes that each organism is a mixture of multiple chemical elements (carbon, nitrogen, phosphorus) and that the relative relative proportions of such elements vary within and among species. We incorporate stoichiometric principles into a standard predator-prey model to analyze competition between two consumers on one autotrophic resource. The model tracks two essential elements, carbon and phosphorus, in each species. We show that a stable equilibrium is possible with two competitors on this single biotic resource. At this equilibrium both consumers are limited by the phosphorus content of the resource. This suggests that within a stoichiometric framework, the CEP may be violated because one biotic resource may support multiple competitors at a stable equilibrium. ∗Current address: Department of Ecology and Evolutionary Biology, Princeton University, Princeton, NJ 08544-1033
منابع مشابه
A competitive coexistence principle?
Competitive exclusion n species cannot coexist on fewer than n limiting resources in a constant and isolated environment has been a central ecological principle for the past century. Since empirical studies cannot universally demonstrate exclusion, this principle has mainly relied on mathematical proofs. Here we investigate the predictions of a new approach to derive functional responses in con...
متن کاملThe Inclusion-Exclusion Principle for IF-States
Applying two definitions of the union of IF-events, P. Grzegorzewski gave two generalizations of the inclusion-exclusion principle for IF-events.In this paper we prove an inclusion-exclusion principle for IF-states based on a method which can also be used to prove Grzegorzewski's inclusion-exclusion principle for probabilities on IF-events.Finally, we give some applications of this principle by...
متن کاملOn a solution of the biodiversity paradox and a competitive coexistence principle
The biodiversity paradox is the central problem in theoretical ecology. The paradox consists in the contradiction between the competitive exclusion principle and the observed biodiversity. This contradiction is the key subject of the long-standing and continuing biodiversity debates. The paradox impedes our insights into biodiversity conservation. Previously we proved that due to a soliton-like...
متن کاملGause's Principle and the Effect of Resource Partitioning on the Dynamical Coexistence of Replicating Templates
Models of competitive template replication, although basic for replicator dynamics and primordial evolution, have not yet taken different sequences explicitly into account, neither have they analyzed the effect of resource partitioning (feeding on different resources) on coexistence. Here we show by analytical and numerical calculations that Gause's principle of competitive exclusion holds for ...
متن کاملOn the principle of competitive exclusion in metapopulation models
In this paper we present and analyse a simple two populations model with migrations among two different environments. The populations interact by competing for resources. Equilibria are investigated. A proof for the boundedness of the populations is provided. A kind of competitive exclusion principle for metapopulation systems is obtained. At the same time we show that the competitive exclusion...
متن کامل