Abstract

Metabolic scaling theory (MST) is an attempt to link physiological processes of individual organisms with macroecology. It predicts a power law relationship with an exponent of −4/3 between mean individual biomass and density during density-dependent mortality (self-thinning). Empirical tests have produced variable results, and the validity of MST is intensely debated. MST focuses on organisms’ internal physiological mechanisms but we hypothesize that ecological interactions can be more important in determining plant mass-density relationships induced by density. We employ an individual-based model of plant stand development that includes three elements: a model of individual plant growth based on MST, different modes of local competition (size-symmetric vs. -asymmetric), and different resource levels. Our model is consistent with the observed variation in the slopes of self-thinning trajectories. Slopes were significantly shallower than −4/3 if competition was size-symmetric. We conclude that when the size of survivors is influenced by strong ecological interactions, these can override predictions of MST, whereas when surviving plants are less affected by interactions, individual-level metabolic processes can scale up to the population level. MST, like thermodynamics or biomechanics, sets limits within which organisms can live and function, but there may be stronger limits determined by ecological interactions. In such cases MST will not be predictive.

Highlights

  • Metabolic Scaling Theory (MST) offers a quantitative framework for linking physiological processes of individual organisms with higher-level dynamics of populations and communities

  • Using empirical measurements and theoretical assumptions, MST predicts quantitative relationships among these processes [3,24], and we use these as the basis of of the circle, A, represents the resources available to the plant, and this area is allometrically related to the plant’s body mass, m, as m3/4 = c0A [12], where c0 is a normalization constant

  • In scenarios with more asymmetric competition, surviving plants are less affected by interactions with other plants (RII close to 0)

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Summary

Introduction

Metabolic Scaling Theory (MST) offers a quantitative framework for linking physiological processes of individual organisms with higher-level dynamics of populations and communities. It predicts that an individual’s metabolic rate, B, scales with body mass, m, as m3/4 [1]. When the rate of resource supply, R, per unit area is held constant, the relationship between maximum population density, N, and mean body mass is predicted to be m/N24/3. If mass-density relationships during self-thinning reflect MST, the relation between m and N is predicted to be a power law with a mass–density scaling exponent of –4/3. While some researchers assume that the mass–density scaling exponent is universal but disagree about the correct value, others argue that there is real biological variation in the exponent, questioning the generality of MST [4,8,9,10] or any other single model which purports to explain many different types of biomass-density relationships

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