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Symmetry breaking in cyclic competition by niche construction

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  • Han, Xiaozhuo
  • Chen, Baoying
  • Hui, Cang

Abstract

Niche construction theory, which portrays organisms as active agents that modify their environment rather than mere passive entities selected by their environment, has received increasing attention in ecology and evolutionary biology. Here, we investigate the ecological consequences of niche construction in the system of three cyclically competing metapopulations, engaging a rock–scissors–paper game. Using cellular automata, we detected a variety of dynamic behaviors, including damped oscillation, periodical fluctuation and stage equilibrium, and the system transformed from disorder to order with gradually increasing niche-constructing intensity. Increasing niche-constructing intensity of a species, counterintuitively, reduced its own occupancy, but increased that of its inferior competitor. These species displayed interesting ripples in the two-dimension lattice space, with the pattern sensitive to the symmetry of competition intensity and other vital rates. Spatial heterogeneity induced by niche construction, together with the competition hierarchy, formed a stable and fixed range for each species with clear boundaries. Our results highlighted the necessity of investigating the adaptive dynamics of niche constructing traits to better understand the eco-evolutionary consequence of niche construction.

Suggested Citation

  • Han, Xiaozhuo & Chen, Baoying & Hui, Cang, 2016. "Symmetry breaking in cyclic competition by niche construction," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 66-78.
    • Handle: RePEc:eee:apmaco:v:284:y:2016:i:c:p:66-78
    DOI: 10.1016/j.amc.2016.02.056
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    References listed on IDEAS

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    1. Feng, Sha-Sha & Qiang, Cheng-Cang, 2013. "Self-organization of five species in a cyclic competition game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4675-4682.
    2. M. Doebeli & U. Dieckmann, 2000. "Evolutionary Branching and Sympatric Speciation Caused by Different Types of Ecological Interactions," Working Papers ir00040, International Institute for Applied Systems Analysis.
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    Cited by:

    1. Park, Junpyo, 2018. "Multistability of extinction states in the toy model for three species," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 92-98.
    2. Park, Junpyo, 2018. "Balancedness among competitions for biodiversity in the cyclic structured three species system," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 425-436.
    3. Park, Junpyo, 2021. "Evolutionary dynamics in the rock-paper-scissors system by changing community paradigm with population flow," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    4. Kabir, K.M. Ariful & Tanimoto, Jun, 2021. "The role of pairwise nonlinear evolutionary dynamics in the rock–paper–scissors game with noise," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    5. Szolnoki, Attila & Perc, Matjaž, 2023. "Oppressed species can form a winning pair in a multi-species ecosystem," Applied Mathematics and Computation, Elsevier, vol. 438(C).

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