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  • P-ISSN2765-2203
  • E-ISSN2765-2211

Emergence and Structure of Complex Mutualistic Networks

Proceedings of the National Institute of Ecology of the Republic of Korea, (P)2765-2203; (E)2765-2211
2022, v.3 no.3, pp.149-153
https://doi.org/10.22920/PNIE.2022.3.3.149
KyoungEun Lee (National Institute of Ecology)
Nam Jung (National Institute of Ecology)
Hyun Min Lee (National Institute of Ecology)
Seung Eun Maeng (Bizdata R&D Center)
Jae Woo Lee (Department of Physics, Inha University)

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Abstract

The degree distribution of the plant-pollinator network was identified by analyzing the data in the ecosystem and reproduced by a model of the growing bipartite mutualistic networks. The degree distribution of pollinator shows power law or stretched exponential distribution, while plant usually shows stretched exponential distribution. In the growth model, the plant and the pollinator are selected with probability Pp and PA=1–Pp, respectively. The number of incoming links for the plant and the pollinator is lp and lA, respectively. The probability that the link of the plant selects the pollinator of the existing network given as Aki =kλiA/∑ikλiA , and the probability that the pollinator selects the plant is Pki=kλip/∑ikλip. When the nonlinear growth index is λχ=1 (Χ=A or P), the degree distribution follows a power law, and if 0≤λχ<1, the degree distribution follows a stretched exponential distribution. The cumulative degree distributions of plants and pollinators of 14 empirical plant-pollinators included in Interaction Web Database were calculated. A set of parameters (PA,PP,lA,lP) that reproduces these cumulative degree distributions and a growth index λχ=1 (Χ=A or P) were obtained. We found that animal takes very heterogenous connections, whereas plant takes a more flexible connection network.

keywords
Degree of distribution Mutualistic network Plant–pollinator network Power law Stretched exponential distribution
Submission Date
2021-11-12
Revised Date
2022-01-14
Accepted Date
2022-01-17

Proceedings of the National Institute of Ecology of the Republic of Korea