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dc.contributor.author Laird, Robert A.
dc.contributor.author Schamp, Brandon S.
dc.date.accessioned 2016-06-14T19:32:56Z
dc.date.available 2016-06-14T19:32:56Z
dc.date.issued 2016-06-14
dc.identifier.citation Laird, R. A., & Schamp, B. S. (2015). Competitive intransitivity, population interaction structure, and strategy coexistence. Journal of Theoretical Biology, 365, 149-158. http://dx.doi.org/10.1016/j.jtbi.2014.10.010
dc.identifier.uri https://hdl.handle.net/10133/4515
dc.description Sherpa Romeo green journal. Permission to archive accepted author manuscript en_US
dc.description.abstract Intransitive competition occurs when competing strategies cannot be listed in a hierarchy, but rather form loops – as in the game Rock-Paper-Scissors. Due to its cyclic competitive replacement, competitive intransitivity promotes strategy coexistence, both in Rock-Paper-Scissors and in higher-richness communities. Previous work has shown that this intransitivity-mediated coexistence is strongly influenced by spatially explicit interactions, compared to when populations are well mixed. Here, we extend and broaden this line of research and examine the impact on coexistence of intransitive competition taking place on a continuum of small-world networks linking spatial lattices and regular random graphs. We use simulations to show that the positive effect of competitive intransitivity on strategy coexistence holds when competition occurs on networks toward the spatial end of the continuum. However, in networks that are sufficiently disordered, increasingly violent fluctuations in strategy frequencies can lead to extinctions and the prevalence of monocultures. We further show that the degree of disorder that leads to the transition between these two regimes is positively dependent on population size; indeed for very large populations, intransitivity-mediated strategy coexistence may even be possible in regular graphs with completely random connections. Our results emphasize the importance of interaction structure in determining strategy dynamics and diversity. en_US
dc.language.iso en_CA en_US
dc.subject Cyclical population dynamics en_US
dc.subject Evolutionary graph theory en_US
dc.subject Quenched randomness en_US
dc.subject Rock-paper-scissors en_US
dc.subject Small-world networks en_US
dc.title Competitive intransitivity, population interaction structure, and strategy coexistence en_US
dc.type Article en_US
dc.publisher.faculty Arts and Science en_US
dc.publisher.department Department of Biological Sciences en_US
dc.publisher.institution University of Lethbridge en_US
dc.publisher.url https://doi.org/10.1016/j.jtbi.2014.10.010


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