Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, Copenhagen, 2100, Denmark.
Leibniz Centre for Tropical Marine Research, Fahrenheitstrasse 6, Bremen, 28359, Germany.
Sci Rep. 2022 Aug 29;12(1):14668. doi: 10.1038/s41598-022-17379-6.
Random matrix theory has been applied to food web stability for decades, implying elliptical eigenvalue spectra and that large food webs should be unstable. Here we allow feasible food webs to self-assemble within an evolutionary process, using simple Lotka-Volterra equations and several elementary interaction types. We show that, as complex food webs evolve under [Formula: see text] invasion attempts, the community matrix spectra become bi-modal, rather than falling onto elliptical geometries. Our results raise questions as to the applicability of random matrix theory to the analysis of food web steady states.
随机矩阵理论在过去几十年中被应用于食物网稳定性研究，暗示着椭圆特征谱以及大型食物网应该是不稳定的。在这里，我们允许可行的食物网在进化过程中自行组装，使用简单的Lotka-Volterra 方程和几种基本的相互作用类型。我们表明，随着复杂食物网在[Formula: see text]入侵尝试下的进化，群落矩阵谱变得双峰，而不是落入椭圆几何形状。我们的结果对随机矩阵理论在食物网稳定状态分析中的适用性提出了质疑。
