Non-equilibrium microbial dynamics unveil a new macroecological pattern beyond Taylor's law

• DOI: 10.48550/arxiv.2404.07090
• Publication Date: 2024-04-10
• Authors: José Camacho-Mateu; Aniello Lampo; Saúl Ares; José Antonio Lore...
• Keywords: Dynamics; Macroecology

We introduce a comprehensive analytical benchmark, relying on Fokker-Planck formalism, to study microbial dynamics in presence of both biotic and abiotic forces. In equilibrium, we observe balance between the two kinds forces, leading no correlations species abundances. This implies that real microbiomes, where have been observed, operate out equilibrium. Therefore, analyze non-equilibrium dynamics, presenting an ansatz for approximate solution embodies complex interplay forces system. is consistent with Taylor's law as coarse-grained approximation relation abundance variance, but subtler effects, predicting unobserved structure beyond law. Motivated by this theoretical prediction, refine analysis existing metagenomic data, unveiling novel universal macroecological pattern. Finally, speculate physical origin law: building upon analogy Brownian motion theory, propose emerges Fluctuation-Growth resulting from equipartition environmental resources among species.