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Li C, Feng TJ, Zhang HL, Chen DH, Cressman R, Liao JB, Tao Y. Multilayer network structure enhances the coexistence of competitive species. Phys Rev E 2021; 104:024402. [PMID: 34525609 DOI: 10.1103/physreve.104.024402] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/01/2021] [Accepted: 07/07/2021] [Indexed: 11/06/2022]
Abstract
The concept of a multiplex network can be used to characterize the dispersal paths and states of different species in a patch habitat system. The multiplex network is one of three types of multilayer networks. In this study, the effect of a multiplex network on the long-term stable coexistence of species is investigated using the concept of metapopulation. Based on the mean field approximation, the stability analysis of a two-species system shows that, compared to the single layer network, the multiplex network is more conducive to the stable coexistence of species when one species has a stronger colonization ability. That is, in such a patch habitat system, if the dispersal paths of the stronger species are different than those of the weaker species, then the larger the heterogeneity of the dispersal network of the stronger species is, the more likely the long-term stable coexistence of species. This result provides a different perspective for understanding the biodiversity in heterogeneous habitats.
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Affiliation(s)
- Cong Li
- School of Ecology and Environment, Northwestern Polytechnical University, Xi'an, People's Republic of China.,Department of Mathematics and Statistics, University of Montreal, Montreal, Canada
| | - Tian-Jiao Feng
- Key Laboratory of Animal Ecology and Conservation Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing, People's Republic of China.,University of Chinese Academy of Sciences, College of Resources and Environment, Beijing, People's Republic of China
| | - He-Lin Zhang
- Ministry of Education's Key Laboratory of Poyang Lake Wet Land and Watershed Research, School of Geography and Environment, Jiangxi Normal University, Nanchang, People's Republic of China
| | - Da-Hua Chen
- Institute of Biomedical Research, Yunnan University, Kunming, People's Republic of China
| | - Ross Cressman
- Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5 Canada
| | - Jin-Bao Liao
- Ministry of Education's Key Laboratory of Poyang Lake Wet Land and Watershed Research, School of Geography and Environment, Jiangxi Normal University, Nanchang, People's Republic of China
| | - Yi Tao
- School of Ecology and Environment, Northwestern Polytechnical University, Xi'an, People's Republic of China.,Key Laboratory of Animal Ecology and Conservation Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing, People's Republic of China.,Institute of Biomedical Research, Yunnan University, Kunming, People's Republic of China
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Li Y, Bearup D, Liao J. Habitat loss alters effects of intransitive higher-order competition on biodiversity: a new metapopulation framework. Proc Biol Sci 2020; 287:20201571. [PMID: 33259756 DOI: 10.1098/rspb.2020.1571] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023] Open
Abstract
Recent studies have suggested that intransitive competition, as opposed to hierarchical competition, allows more species to coexist. Furthermore, it is recognized that the prevalent paradigm, which assumes that species interactions are exclusively pairwise, may be insufficient. More importantly, whether and how habitat loss, a key driver of biodiversity loss, can alter these complex competition structures (and therefore species coexistence) remain unclear. We thus present a new, simple yet comprehensive metapopulation framework that can account for any competition pattern and more complex higher-order interactions (HOIs) among species. We find that competitive intransitivity increases community diversity and that HOIs generally enhance this effect. Essentially, intransitivity promotes species richness by preventing the dominance of a few species, unlike the hierarchical competition, while HOIs facilitate species coexistence through stabilizing community fluctuations. However, variation in species' vital rates and habitat loss can weaken or even reverse such higher-order effects, as their interaction can lead to a more rapid decline in competitive intransitivity under HOIs. Thus, it is essential to correctly identify the most appropriate interaction model for a given system before models are used to inform conservation efforts. Overall, our simple model framework provides a more parsimonious explanation for biodiversity maintenance than the existing theory.
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Affiliation(s)
- Yinglin Li
- Ministry of Education's Key Laboratory of Poyang Lake Wetland and Watershed Research, School of Geography and Environment, Jiangxi Normal University, Ziyang Road 99, 330022 Nanchang, People's Republic of China
| | - Daniel Bearup
- Statistics and Actuarial Sciences, School of Mathematics, University of Kent, Parkwood Road, Canterbury, CT2 7FS, UK
| | - Jinbao Liao
- Ministry of Education's Key Laboratory of Poyang Lake Wetland and Watershed Research, School of Geography and Environment, Jiangxi Normal University, Ziyang Road 99, 330022 Nanchang, People's Republic of China
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