2021/06/30 by Hyun Woo Lee, Jae Woo Lee, Deok-Sun Lee · 3 citations
Agricultural and Biological Sciences · Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · Social Sciences · #Abundance (ecology) #Competition (biology) #Complex Network Analysis Techniques #Evolutionary Game Theory and Cooperation #Extinction (optical mineralogy) #Fixed point #Phase (matter) #Plant and animal studies #Stability (learning theory) #physics.soc-ph #q-bio.PE
paper · pdf · doi:10.1103/physreve.105.014309
published in Physical review. E 105(1), 014309 (American Physical Society) · 7 figures
openalex created_date 2021/06/22 · openalex publication_date 2022/01/19 · arxiv created 2022/01/24 · arxiv updated 2022/01/25 · openalex updated_date 2026/08/05
We study species abundance in the empirical plant-pollinator mutualistic networks exhibiting broad degree distributions, with uniform intragroup competition assumed, by the Lotka-Volterra equation. The stability of a fixed point is found to be identified by the signs of its nonzero components and those of its neighboring fixed points. Taking the annealed approximation, we derive the nonzero components to be formulated in terms of degrees and the rescaled interaction strengths, which lead us to find different stable fixed points depending on parameters, and we obtain the phase diagram. The selective extinction phase finds small-degree species extinct and effective interaction reduced, maintaining stability and hindering the onset of instability. The nonzero minimum species abundances from different empirical networks show data collapse when rescaled as predicted theoretically.