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透过代谢比例关系见树木更见森林。

Seeing the forest for the trees through metabolic scaling.

作者信息

Volkov Igor, Tovo Anna, Anfodillo Tommaso, Rinaldo Andrea, Maritan Amos, Banavar Jayanth R

机构信息

Department of Physics, The George Washington University, 20052 Washington, DC, USA.

Dipartimento di Fisica "G. Galilei", Università di Padova, 35131 Padova, Italy.

出版信息

PNAS Nexus. 2022 Mar 10;1(1):pgac008. doi: 10.1093/pnasnexus/pgac008. eCollection 2022 Mar.

Abstract

We demonstrate that when power scaling occurs for an individual tree and in a forest, there is great resulting simplicity notwithstanding the underlying complexity characterizing the system over many size scales. Our scaling framework unifies seemingly distinct trends in a forest and provides a simple yet promising approach to quantitatively understand a bewilderingly complex many-body system with imperfectly known interactions. We show that the effective dimension, , of a tree is close to 3, whereas a mature forest has approaching 1. We discuss the energy equivalence rule and show that the metabolic rate-mass relationship is a power law with an exponent /( + 1) in both cases leading to a Kleiber's exponent of 3/4 for a tree and 1/2 for a forest. Our work has implications for understanding carbon sequestration and for climate science.

摘要

我们证明,当个体树木以及森林中出现幂次缩放时,尽管在许多大小尺度上表征该系统的潜在复杂性很高,但最终会产生极大的简单性。我们的缩放框架统一了森林中看似不同的趋势,并提供了一种简单却有前景的方法,用于定量理解一个具有不完全已知相互作用的极其复杂的多体系统。我们表明,一棵树的有效维度 (d) 接近3,而成熟森林的 (d) 接近1。我们讨论了能量等效规则,并表明在这两种情况下,代谢率与质量的关系都是幂律,指数为 (\beta/(\beta + 1)),这导致树的克莱伯指数为3/4,森林的为1/2。我们的工作对理解碳固存和气候科学具有启示意义。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bf95/9802057/f09fee782c94/pgac008fig1.jpg

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