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Seeing the forest for the trees through metabolic scaling.


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, D tree , of a tree is close to 3, whereas a mature forest has D forest approaching 1. We discuss the energy equivalence rule and show that the metabolic rate-mass relationship is a power law with an exponent D/(D + 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.

SUBMITTER: Volkov I 

PROVIDER: S-EPMC9802057 | biostudies-literature | 2022 Mar

REPOSITORIES: biostudies-literature

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Seeing the forest for the trees through metabolic scaling.

Volkov Igor I   Tovo Anna A   Anfodillo Tommaso T   Rinaldo Andrea A   Maritan Amos A   Banavar Jayanth R JR  

PNAS nexus 20220310 1


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, <i>D</i> <sub><i>tree</i></su  ...[more]

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