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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. Where: fraction of patches that are occupied by species ; colonization rate of species ; mortality rate of species (independent of patch density). 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: