Incorporating Heterogeneous Interactions for Ecological Biodiversity

IF 8.1 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Physical review letters Pub Date : 2024-11-07 DOI:10.1103/physrevlett.133.198402
Jong Il Park (박종일), Deok-Sun Lee (이덕선), Sang Hoon Lee (이상훈), Hye Jin Park (박혜진)
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Abstract

Understanding the behaviors of ecological systems is challenging given their multifaceted complexity. To proceed, theoretical models such as Lotka-Volterra dynamics with random interactions have been investigated by the dynamical mean-field theory to provide insights into underlying principles such as how biodiversity and stability depend on the randomness in interaction strength. Yet the fully connected structures assumed in these previous studies are not realistic, as revealed by a vast amount of empirical data. We derive a generic formula for the abundance distribution under an arbitrary distribution of degree, the number of interacting neighbors, which leads to degree-dependent abundance patterns of species. Notably, in contrast to the fully interacting systems, the number of surviving species can be reduced as the community becomes cooperative in heterogeneous interaction structures. Our study, therefore, demonstrates that properly taking into account heterogeneity in the interspecific interaction structure is indispensable to understanding the diversity in large ecosystems, and our general theoretical framework can apply to a much wider range of interacting many-body systems.
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纳入异质相互作用,促进生态生物多样性
由于生态系统具有多方面的复杂性,因此了解其行为具有挑战性。为此,人们利用动态均场理论研究了具有随机相互作用的洛特卡-伏特拉动力学等理论模型,以深入了解生物多样性和稳定性如何取决于相互作用强度的随机性等基本原理。然而,正如大量经验数据所揭示的那样,以往这些研究中假设的全连接结构并不现实。我们推导出了在任意度分布(即相互作用邻域的数量)条件下丰度分布的通用公式,从而得出了物种丰度依赖度的模式。值得注意的是,与完全交互系统相比,在异质交互结构中,随着群落变得合作,存活物种的数量会减少。因此,我们的研究表明,要理解大型生态系统的多样性,就必须适当考虑种间相互作用结构的异质性,而我们的一般理论框架可适用于更广泛的相互作用多体系统。
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来源期刊
Physical review letters
Physical review letters 物理-物理:综合
CiteScore
16.50
自引率
7.00%
发文量
2673
审稿时长
2.2 months
期刊介绍: Physical review letters(PRL)covers the full range of applied, fundamental, and interdisciplinary physics research topics: General physics, including statistical and quantum mechanics and quantum information Gravitation, astrophysics, and cosmology Elementary particles and fields Nuclear physics Atomic, molecular, and optical physics Nonlinear dynamics, fluid dynamics, and classical optics Plasma and beam physics Condensed matter and materials physics Polymers, soft matter, biological, climate and interdisciplinary physics, including networks
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