Competition-similarity relationships and the nonlinearity of competitive effects in consumer-resource systems

The American Naturalist
Peter A AbramsRussell Dinnage

Abstract

Much previous ecological and evolutionary theory about exploitative competition for a continuous spectrum of resources has used the Lotka-Volterra model with competition coefficients given by a Gaussian function of niche separation. Using explicit consumer-resource models, we show that the Lotka-Volterra model and the assumption of a Gaussian competition-similarity relationship both fail to reflect the impact of strong resource depletion, which typically reduces the influence of the most heavily used resources on the competitive interaction. Taking proper account of resource depletion reveals that strong exploitative competition between efficient consumers is usually a highly nonlinear interaction, implying that a single measure is no longer sufficient to characterize the process. The nonlinearity usually entails weak coupling of competing species when their abundances are high and equal. Rare invaders are likely to have effects on abundant residents much larger than those of the resident on the invader. Asymmetrical utilization curves often produce asymmetrical competition coefficients. Competition coefficients are typically non-Gaussian and are often nonmonotonic functions of niche separation. Utilization curve shape and reso...Continue Reading

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Citations

Aug 21, 2013·Journal of Theoretical Biology·Olof LeimarUlf Dieckmann
Feb 27, 2013·Journal of Mathematical Biology·Sepideh MirrahimiJoe Yuichiro Wakano
Mar 17, 2009·Journal of Theoretical Biology·Elizabeth M BaptestiniMárcio S Araújo
Jan 6, 2009·Journal of Theoretical Biology·András Szilágyi, Géza Meszéna
Jan 23, 2019·PLoS Computational Biology·Rafael D'AndreaAnnette M Ostling
Jan 25, 2019·Ecology Letters·Andrew D Letten, Daniel B Stouffer
Aug 1, 2018·Nature Communications·Stacey Butler, James P O'Dwyer

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