Competition–colonization trade-off
In ecology, the competition–colonization trade-off is a stabilizing mechanism that has been proposed to explain species diversity in some biological systems, especially those that are not in equilibrium. In which case some species are particularly good at colonizing and others have well-established survival abilities.
The concept of the competition-colonization trade-off was originally proposed by Levins and Culver, the model indicated that two species could coexist if one had impeccable competition skill and the other was excellent at colonizing. The model indicates that there is typically a trade-off, in which a species is typically better at either competing or colonizing. A later model, labelled The Lottery Model was also proposed, in which interspecific competition is accounted for within the population.
Mathematical models
Levins and Culver model
Where:fraction of patches that are occupied by species ;
colonization rate of species ;
mortality rate of species .
Species 1 = competitor, can colonize in area that is uninhabited or inhabited by species 2.
Species 2 = colonizer, can only colonize in uninhabited areas.
Species 2 is subject to displacement by its competitor.
If species 2 has a higher colonization rate it can coexist with species 1:.
This model is described as the displacement competition model, it has been observed in marine mollusks and fungi. This model makes two large assumptions:
1. "a propagule of a superior competitor takes over a patch from an adult of the inferior competitor".
2. The adult must be displaced fast enough to ensure that it does not reproduce while it is being displaced.
Lottery model
Colonization rate is now described by interspecific competition.and. Both f and g > 0.
An increase in p1 is related to a decrease in the colonization rate of species 2.
g < f implies a competitive advantage of species 1 and c2 > c1 implies a colonization advantage for species 2.