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Yang Y, Liu L, Xiang C, Qin W. Chimera and cluster collective states in a dispersal ecological network under state-dependent feedback control and complex habitat structure. J Biol Dyn 2021; 15:563-579. [PMID: 34705598 DOI: 10.1080/17513758.2021.1992518] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/08/2021] [Accepted: 10/05/2021] [Indexed: 06/13/2023]
Abstract
Pest control based on an economic threshold (ET) can effectively prevent excessive pest control measures such as pesticide abuse and overharvesting. The instinctive dispersal of pest populations in biological network patches for better survival poses challenges for pest management. As long as the pest density is controlled below the economic threshold and no pest outbreak occurs, the aim of pest management can be achieved and it is not necessary to completely remove the pests. This study focuses on the issues of chimera states and cluster solutions in regular bidirectional biological networks with state-dependent impulsive pest management. We consider the influence of two different control modes on the system states, namely global control and local control. Local control is found to be more likely to induce the chimera state. In addition, in the local coupling mode, a higher coupling strength is more likely to generate a coherent state, whereas a lower coupling strength is more likely to generate chimera and incoherent states. Furthermore, the cluster size is inversely related to the coupling strength under local coupling and global control.
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Affiliation(s)
- Yi Yang
- College of Computer Science and Engineering, Chongqing Three Gorges University, Wanzhou, People's Republic of China
- Key Laboratory of Intelligent Information Processing and Control of Chongqing Municipal Institutions of Higher education, Chongqing Three Gorges University, Wanzhou, People's Republic of China
| | - Lirong Liu
- School of Mathematics and Statistics, Hubei Minzu University, Enshi, People's Republic of China
| | - Changcheng Xiang
- School of Mathematics and Statistics, Hubei Minzu University, Enshi, People's Republic of China
| | - Wenjie Qin
- School of Mathematics and Computer Science, Yunnan Minzu University, Kunming, People's Republic of China
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Srivastava DS, Coristine L, Angert AL, Bontrager M, Amundrud SL, Williams JL, Yeung ACY, Zwaan DR, Thompson PL, Aitken SN, Sunday JM, O'Connor MI, Whitton J, Brown NEM, MacLeod CD, Parfrey LW, Bernhardt JR, Carrillo J, Harley CDG, Martone PT, Freeman BG, Tseng M, Donner SD. Wildcards in climate change biology. ECOL MONOGR 2021. [DOI: 10.1002/ecm.1471] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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3
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Sanz E, Saa-Requejo A, Díaz-Ambrona CH, Ruiz-Ramos M, Rodríguez A, Iglesias E, Esteve P, Soriano B, Tarquis AM. Generalized Structure Functions and Multifractal Detrended Fluctuation Analysis Applied to Vegetation Index Time Series: An Arid Rangeland Study. Entropy (Basel) 2021; 23:e23050576. [PMID: 34067228 PMCID: PMC8151831 DOI: 10.3390/e23050576] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/26/2021] [Revised: 04/30/2021] [Accepted: 05/06/2021] [Indexed: 11/29/2022]
Abstract
Estimates suggest that more than 70% of the world’s rangelands are degraded. The Normalized Difference Vegetation Index (NDVI) is commonly used by ecologists and agriculturalists to monitor vegetation and contribute to more sustainable rangeland management. This paper aims to explore the scaling character of NDVI and NDVI anomaly (NDVIa) time series by applying three fractal analyses: generalized structure function (GSF), multifractal detrended fluctuation analysis (MF-DFA), and Hurst index (HI). The study was conducted in four study areas in Southeastern Spain. Results suggest a multifractal character influenced by different land uses and spatial diversity. MF-DFA indicated an antipersistent character in study areas, while GSF and HI results indicated a persistent character. Different behaviors of generalized Hurst and scaling exponents were found between herbaceous and tree dominated areas. MF-DFA and surrogate and shuffle series allow us to study multifractal sources, reflecting the importance of long-range correlations in these areas. Two types of long-range correlation appear to be in place due to short-term memory reflecting seasonality and longer-term memory based on a time scale of a year or longer. The comparison of these series also provides us with a differentiating profile to distinguish among our four study areas that can improve land use and risk management in arid rangelands.
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Affiliation(s)
- Ernesto Sanz
- CEIGRAM, Universidad Politécnica de Madrid, 28040 Madrid, Spain; (A.S.-R.); (C.H.D.-A.); (M.R.-R.); (A.R.); (E.I.); (P.E.); (B.S.); (A.M.T.)
- Grupo de Sistemas Complejos, Universidad Politécnica de Madrid, 28040 Madrid, Spain
- Correspondence:
| | - Antonio Saa-Requejo
- CEIGRAM, Universidad Politécnica de Madrid, 28040 Madrid, Spain; (A.S.-R.); (C.H.D.-A.); (M.R.-R.); (A.R.); (E.I.); (P.E.); (B.S.); (A.M.T.)
- Evaluación de Recursos Naturales, ETSI Agronómica, Alimentaria y Biosistemas, Universidad Politécnica de Madrid, 28040 Madrid, Spain
| | - Carlos H. Díaz-Ambrona
- CEIGRAM, Universidad Politécnica de Madrid, 28040 Madrid, Spain; (A.S.-R.); (C.H.D.-A.); (M.R.-R.); (A.R.); (E.I.); (P.E.); (B.S.); (A.M.T.)
- AgSystems, ETSI Agronómica, Alimentaria y Biosistemas, Universidad Politécnica de Madrid, 28040 Madrid, Spain
| | - Margarita Ruiz-Ramos
- CEIGRAM, Universidad Politécnica de Madrid, 28040 Madrid, Spain; (A.S.-R.); (C.H.D.-A.); (M.R.-R.); (A.R.); (E.I.); (P.E.); (B.S.); (A.M.T.)
- AgSystems, ETSI Agronómica, Alimentaria y Biosistemas, Universidad Politécnica de Madrid, 28040 Madrid, Spain
| | - Alfredo Rodríguez
- CEIGRAM, Universidad Politécnica de Madrid, 28040 Madrid, Spain; (A.S.-R.); (C.H.D.-A.); (M.R.-R.); (A.R.); (E.I.); (P.E.); (B.S.); (A.M.T.)
- Departamento de Análisis Económico y Finanzas, Universidad de Castilla-La Mancha, 45071 Toledo, Spain
| | - Eva Iglesias
- CEIGRAM, Universidad Politécnica de Madrid, 28040 Madrid, Spain; (A.S.-R.); (C.H.D.-A.); (M.R.-R.); (A.R.); (E.I.); (P.E.); (B.S.); (A.M.T.)
- Economía Agraria y Gestión de los Recursos Naturales, ETSI Agronómica Alimentaria y Biosistemas, Universidad Politécnica de Madrid, 28040 Madrid, Spain
| | - Paloma Esteve
- CEIGRAM, Universidad Politécnica de Madrid, 28040 Madrid, Spain; (A.S.-R.); (C.H.D.-A.); (M.R.-R.); (A.R.); (E.I.); (P.E.); (B.S.); (A.M.T.)
- Economía Agraria y Gestión de los Recursos Naturales, ETSI Agronómica Alimentaria y Biosistemas, Universidad Politécnica de Madrid, 28040 Madrid, Spain
| | - Bárbara Soriano
- CEIGRAM, Universidad Politécnica de Madrid, 28040 Madrid, Spain; (A.S.-R.); (C.H.D.-A.); (M.R.-R.); (A.R.); (E.I.); (P.E.); (B.S.); (A.M.T.)
- Economía Agraria y Gestión de los Recursos Naturales, ETSI Agronómica Alimentaria y Biosistemas, Universidad Politécnica de Madrid, 28040 Madrid, Spain
| | - Ana M. Tarquis
- CEIGRAM, Universidad Politécnica de Madrid, 28040 Madrid, Spain; (A.S.-R.); (C.H.D.-A.); (M.R.-R.); (A.R.); (E.I.); (P.E.); (B.S.); (A.M.T.)
- Grupo de Sistemas Complejos, Universidad Politécnica de Madrid, 28040 Madrid, Spain
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Milne R, Guichard F. Coupled phase-amplitude dynamics in heterogeneous metacommunities. J Theor Biol 2021; 523:110676. [PMID: 33753122 DOI: 10.1016/j.jtbi.2021.110676] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/27/2020] [Revised: 03/08/2021] [Accepted: 03/09/2021] [Indexed: 10/21/2022]
Abstract
Spatial synchrony of population fluctuations is an important tool for predicting regional stability. Its application to natural systems is still limited by the complexity of ecological time series displaying great variation in the frequency and amplitude of their fluctuations, which are not fully resolved by current ecological theories of spatial synchrony. In particular, while environmental fluctuations and limited dispersal can each control the dynamics of frequency and amplitude of population fluctuations, ecological theories of spatial synchrony still need to resolve their role on synchrony and stability in heterogeneous metacommunities. Here, we adopt a heterogeneous predator-prey metacommunity model and study the response of dispersal-driven phase locking and frequency modulation to among-patch heterogeneity in carrying capacity. We find that frequency modulation occurs at intermediate values of dispersal and habitat heterogeneity. We also show how frequency modulation can emerge in metacommunities of autonomously oscillating populations as well as through the forcing of local communities at equilibrium. Frequency modulation was further found to produce temporal variation in population amplitudes, promoting local and regional stability through cyclic patterns of local and regional variability. Our results highlight the importance of approaching spatial synchrony as a non-stationary phenomenon, with implications for the assessment and interpretation of spatial synchrony observed in experimental and natural systems.
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Affiliation(s)
- Russell Milne
- Department of Applied Mathematics, University of Waterloo, Canada.
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Affiliation(s)
- Julien Massé Jodoin
- Dept of Biology, McGill Univ., 1205 Avenue du Docteur Penfield Montreal QC H3A 1B1 Canada
| | - Frédéric Guichard
- Dept of Biology, McGill Univ., 1205 Avenue du Docteur Penfield Montreal QC H3A 1B1 Canada
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Abstract
Metacommunity theory has provided many insights into the general problem of local versus regional control of species diversity and relative abundance. The metacommunity framework has been extended from competitive interactions to whole food webs that can be described as spatial networks of interaction networks. Trophic metacommunity theory greatly contributed to resolving the community complexity-stability debate by predicting its dependence on the regional spatial context. The meta-ecosystem framework has since been suggested as a useful simplification of complex ecosystems to apply this spatial context to spatial flows of both individuals and matter. Reviewing the recent literature on metacommunity and meta-ecosystem theories suggests the importance of unifying theories of interaction strength into a meta-ecosystem framework that captures how the strength of spatial, species, and ecosystem fluxes are distributed across location and trophic levels. Such integration predicts important feedback between local and regional processes that drive the assembly of species, the stability of community, and the emergence of ecosystem functions, from limited spatial fluxes of individuals and (in)organic matter. These predictions are often mediated by the maintenance of environmental or endogenous fluctuations from local to regional scales that create important challenges and opportunities for the validation of metacommunity and meta-ecosystem theories and their application to conservation.
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Jiang Y, Zhang Q, Wang H. Modeling boyciana-fish-human interaction with partial differential algebraic equations. Math Biosci 2016; 277:141-52. [PMID: 27155570 DOI: 10.1016/j.mbs.2016.04.012] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/21/2015] [Revised: 04/26/2016] [Accepted: 04/27/2016] [Indexed: 10/21/2022]
Abstract
Under the influence of human population distribution, the boyciana-fish ecological system is considered. First, the system can be described as a nonlinear partial differential algebraic equations system (PDAEs) with Neumann boundary conditions and ratio-dependent functional response. Second, we examine the system's persistence properties: the loacl stabilities of positive steady states, the absorbtion region and the global stability. And the proposed approach is illustrated by numerical simulation. Finally, by using the realistic data collected in the past fourteen years, the PDAEs parameter optimization model is built to predict the boyciana population.
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Affiliation(s)
- Yushan Jiang
- Institute of System Science, Northeastern University, Shenyang, China; School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao, China.
| | - Qingling Zhang
- Institute of System Science, Northeastern University, Shenyang, China.
| | - Haiyan Wang
- School of Mathematical & Natural Sciences, Arizona State University, USA.
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Pedersen EJ, Marleau JN, Granados M, Moeller HV, Guichard F. Nonhierarchical Dispersal Promotes Stability and Resilience in a Tritrophic Metacommunity. Am Nat 2016; 187:E116-28. [DOI: 10.1086/685773] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
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