Consistent determination of stability regimes in natural ecological communities from abundance time series

arXiv:2609.30154 · q-bio.PE, cond-mat.stat-mech, physics.bio-ph · Submitted 2026-09-24 · Read on arXiv

q-bio.PE, cond-mat.stat-mech, physics.bio-ph

Submitted: 2026-09-24

Updated: 2026-09-24

Comments: 27 pages (including supplemental material with 15 pages), 13 figures (4 figures in the main text and 9 figures in the supplemental material), 1 table in the main text

Code: https://github.com/vjontiveros/annealed-interactions

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Abundance — 145× in this paper · explained in 1 episode
• Core — 34× in this paper · explained in 2 episodes
• Barro Colorado Island — 5× in this paper
• Women Gut — 5× in this paper
• Dynamical regimes — 2× in this paper · explained in 2 episodes
• Modularity — 2× in this paper · explained in 9 episodes
• North American Breeding Bird Survey — 2× in this paper
• Phase Transitions — 2× in this paper · explained in 2 episodes
• Sparsity — 2× in this paper · explained in 4 episodes
• Stochastic Dynamics — 2× in this paper · explained in 2 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Building on Dynamical Mean-Field Theory — 1× in this paper
• Computational Biology — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Heteroscedasticity — 1× in this paper · explained in 2 episodes
• Mean-Field Dynamics — 1× in this paper · explained in 2 episodes
• Parameter Identifiability — 1× in this paper · explained in 2 episodes
• Self-consistency — 1× in this paper · explained in 2 episodes
• Uncertainty Quantification — 1× in this paper · explained in 8 episodes

Sources

• Generating-functional analysis of random Lotka-Volterra systems: A step-by-step guide
• ruptures: change point detection in Python

Related papers

• Drivers of periodicity in population dynamic models of long-lived, large mammals
• How deterministic trajectories and their fluctuations underlie allele-frequency statistics in the strong-selection regime
• Constraints on the perfect phylogeny mixture model and their effect on reducing degeneracy
• Spatiotemporal noise stabilizes unbounded diversity in strongly-competitive communities
• Interplay between evolutionary and epidemic time scales challenges the outcome of control policies
• Evolutionary foraging in grids: Intermittent search dynamics emerge in finite, depletable landscapes