非平衡微生物动力学揭示超越Taylor定律的新宏观生态模式
Non-equilibrium microbial dynamics unveil a new macroecological pattern beyond Taylor's law
AI总结：
基于Fokker-Planck形式研究微生物非平衡动力学，提出近似解揭示超越Taylor定律的普遍宏观生态模式，并推测其源于环境资源均分的涨落-生长关系。
摘要：
我们引入了一个基于Fokker-Planck形式的综合分析基准，用于研究在生物和非生物力共同作用下的微生物动力学。在平衡态下，我们观察到这两种力之间存在平衡，导致物种丰度之间没有相关性。这意味着观察到相关性的真实微生物组是在非平衡态下运行的。因此，我们分析了非平衡动力学，提出了一个近似解的拟设，体现了系统中各种力之间的复杂相互作用。该解与Taylor定律作为物种丰度与方差之间关系的粗粒化近似相一致，但暗示了更微妙的影响，预测了超越Taylor定律的未观察到结构。受此理论预测启发，我们细化了对现有宏基因组数据的分析，揭示了一种新的普遍宏观生态模式。最后，我们推测了Taylor定律的物理起源：基于与布朗运动理论的类比，我们提出Taylor定律作为环境资源在微生物物种间均分产生的涨落-生长关系而出现。
英文摘要：
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 a balance between the two kinds of forces, leading to no correlations between species abundances. This implies that real microbiomes, where correlations have been observed, operate out of equilibrium. Therefore, we analyze non-equilibrium dynamics, presenting an ansatz for an approximate solution that embodies the complex interplay of forces in the system. This solution is consistent with Taylor's law as a coarse-grained approximation of the relation between species abundance and variance, but implies subtler effects, predicting unobserved structure beyond Taylor's law. Motivated by this theoretical prediction, we refine the analysis of existing metagenomic data, unveiling a novel universal macroecological pattern. Finally, we speculate on the physical origin of Taylor's law: building upon an analogy with Brownian motion theory, we propose that Taylor's law emerges as a Fluctuation-Growth relation resulting from equipartition of environmental resources among microbial species.
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