nucleation

LIT-1234: Ecological communities with Lotka-Volterra dynamics

1 min read

Properties5
StatusActive — read 2026-10-29 (NOTE-1397) in full, from the published PDF on the author's Technion page; worth reading as the clean cavity solution of the random generalized Lotka–Volterra community assembled from a species pool: a truncated-Gaussian abundance distribution, the surviving fraction, and a loss of the unique fixed point at σ = √2/(1 + γ) for equal carrying capacities, whatever the mean interaction. Read it knowing that the multiple-attractor phase beyond that line is located, not solved, and that its history dependence is shown by repeated simulation only.
Version2
Tagsecology, complex-systems
Cited as “paper” byNOTE-1397 — Bunin — Ecological communities with Lotka-Volterra dynamics
Cited as “source” byTHEORY-1162 — In a consumer-resource model whose species-resource benefits and impacts have correlation rho, the replica-symmetric cavity fixed point loses stability where rho squared equals surviving species over non-depleted resources

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Bunin, G. (2017). Ecological communities with Lotka-Volterra dynamics. Physical Review E 95(4): 042414. doi:10.1103/PhysRevE.95.042414.

Read in full on 2026-10-29 (NOTE-1397).

Why this is here

The synthesis the owner relayed on 2026-10-18, connecting the record’s distributed-agency line to statistical feature learning and ecological coexistence theory, recommended it for reading. It gives the phase in which assembled communities stop having one outcome and start to depend on history, which the synthesis set against the entrenchment of whatever gained influence early. Bears on QUESTION-083.

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