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Non-king elimination, intransitive triad interactions, and species coexistence in ecological competition networks

Nathan Muyinda (UGent) , Bernard De Baets (UGent) and Shodhan Rao (UGent)
(2020) THEORETICAL ECOLOGY. 13. p.385-397
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Abstract
Ecological communities are characterized by the interactions among the species living within a given habitat and can be conveniently represented as networks of interactions. Variation in the way the interactions are organized in the network determines whether the ecological community is able to support coexistence and resist collapse. Analyzing network properties can thus provide insights as to why some species persist while others go extinct and provide solutions to one of community ecology’s central aim, the prediction of community structure at equilibrium. In this work, we highlight an approach that makes use of the properties of the network to determine the equilibrium species composition and richness in a number of competition networks represented by complete directed graphs (tournaments). We show that in any tournament, all non-kings get eliminated resulting in a smaller tournament in which every species is a king. At this point, the pairwise interactions among species are not sufficient to determine community structure and it is the interactions among the intransitive triads of the tournament that fundamentally determine how many species persist.
Keywords
Ecological Modelling, Ecology, Zero-sum game, Community composition, Optimal strategy, Tournament kings, Final species richness, Triad-interaction graph, DOMINANCE HIERARCHIES, COMMUNITY ECOLOGY, PLANT-COMMUNITIES, PROMOTES, PAPER, BIODIVERSITY, SCISSORS, DYNAMICS, GAME

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MLA
Muyinda, Nathan, et al. “Non-King Elimination, Intransitive Triad Interactions, and Species Coexistence in Ecological Competition Networks.” THEORETICAL ECOLOGY, vol. 13, 2020, pp. 385–97, doi:10.1007/s12080-020-00459-6.
APA
Muyinda, N., De Baets, B., & Rao, S. (2020). Non-king elimination, intransitive triad interactions, and species coexistence in ecological competition networks. THEORETICAL ECOLOGY, 13, 385–397. https://doi.org/10.1007/s12080-020-00459-6
Chicago author-date
Muyinda, Nathan, Bernard De Baets, and Shodhan Rao. 2020. “Non-King Elimination, Intransitive Triad Interactions, and Species Coexistence in Ecological Competition Networks.” THEORETICAL ECOLOGY 13: 385–97. https://doi.org/10.1007/s12080-020-00459-6.
Chicago author-date (all authors)
Muyinda, Nathan, Bernard De Baets, and Shodhan Rao. 2020. “Non-King Elimination, Intransitive Triad Interactions, and Species Coexistence in Ecological Competition Networks.” THEORETICAL ECOLOGY 13: 385–397. doi:10.1007/s12080-020-00459-6.
Vancouver
1.
Muyinda N, De Baets B, Rao S. Non-king elimination, intransitive triad interactions, and species coexistence in ecological competition networks. THEORETICAL ECOLOGY. 2020;13:385–97.
IEEE
[1]
N. Muyinda, B. De Baets, and S. Rao, “Non-king elimination, intransitive triad interactions, and species coexistence in ecological competition networks,” THEORETICAL ECOLOGY, vol. 13, pp. 385–397, 2020.
@article{8674050,
  abstract     = {Ecological communities are characterized by the interactions among the species living within a given habitat and can be conveniently represented as networks of interactions. Variation in the way the interactions are organized in the network determines whether the ecological community is able to support coexistence and resist collapse. Analyzing network properties can thus provide insights as to why some species persist while others go extinct and provide solutions to one of community ecology’s central aim, the prediction of community structure at equilibrium. In this work, we highlight an approach that makes use of the properties of the network to determine the equilibrium species composition and richness in a number of competition networks represented by complete directed graphs (tournaments). We show that in any tournament, all non-kings get eliminated resulting in a smaller tournament in which every species is a king. At this point, the pairwise interactions among species are not sufficient to determine community structure and it is the interactions among the intransitive triads of the tournament that fundamentally determine how many species persist.},
  author       = {Muyinda, Nathan and De Baets, Bernard and Rao, Shodhan},
  issn         = {1874-1738},
  journal      = {THEORETICAL ECOLOGY},
  keywords     = {Ecological Modelling,Ecology,Zero-sum game,Community composition,Optimal strategy,Tournament kings,Final species richness,Triad-interaction graph,DOMINANCE HIERARCHIES,COMMUNITY ECOLOGY,PLANT-COMMUNITIES,PROMOTES,PAPER,BIODIVERSITY,SCISSORS,DYNAMICS,GAME},
  language     = {eng},
  pages        = {385--397},
  title        = {Non-king elimination, intransitive triad interactions, and species coexistence in ecological competition networks},
  url          = {http://dx.doi.org/10.1007/s12080-020-00459-6},
  volume       = {13},
  year         = {2020},
}

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