Self-thinning rule : a causal interpretation from ecological field theory

The self-thinning rule relates plant mass to plant density in crowded, even-aged stands by a power-law equation with an exponent 3:2. The rule is widely accepted as an empirical generalization and quantitative rule that applies across the plant kingdom. It has been called the only law in plant ecology. But the evidence supporting it has recently come under critical scrutiny. The theoretical and empirical bases for the density‐mass boundary have been questioned. Here we use ecological field theory and statistical mechanics to show how the stochastic nature of ecological interactions among individuals, due to spatial field effects such as the availability of neighborhood resources at the microscopic level, leads to self-thinning at the macroscopic level. The self-thinning rule emerges as a natural result of our theoretical approach. Puzzling experimental data that contradict the rule are also explained. © 2000 Elsevier Science B.V. All rights reserved.

[1]  Hsin-I Wu,et al.  Spatial considerations in physiological models of tree growth. , 1986, Tree physiology.

[2]  R. Gardner,et al.  Quantitative Methods in Landscape Ecology , 1991 .

[3]  F. M. Burrows.  Biomass Production, Structural Deformation, Self-Thinning and Thinning Mechanisms in Monocultures , 1991 .

[4]  D. Sprugel.  Density, biomass, productivity, and nutrient-cycling changes during stand development in wave-regenerated balsam fir forests , 1984 .

[5]  Nailong Wu.  The Maximum Entropy Method , 1997 .

[6]  John L. Harper,et al.  Population Biology of Plants. , 1978 .

[7]  J. Pinton,et al.  Universality of rare fluctuations in turbulence and critical phenomena , 1998, Nature.

[8]  Donald E. Weller,et al.  Self-Thinning Exponent Correlated with Allometric Measures of Plant Geometry , 1987 .

[9]  Mark Westoby,et al.  The Self-Thinning Rule , 1984 .

[10]  William M. Schaffer,et al.  Plant strategies and the dynamics and structure of plant communities , 1989 .

[11]  D. DeAngelis,et al.  Competition and Coexistence: The Effects of Resource Transport and Supply Rates , 1994, The American Naturalist.

[12]  Boris Zeide,et al.  Analysis of the 3/2 Power Law of Self-Thinning , 1987, Forest Science.

[13]  F R Adler,et al.  A model of self-thinning through local competition. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[14]  David M. Raup,et al.  How Nature Works: The Science of Self-Organized Criticality , 1997 .

[15]  R. Mitchell,et al.  Ecological field theory model: a mechanistic approach to simulate plant–plant interactions in southeastern forest ecosystems , 1993 .

[16]  K. Yoda,et al.  Self-thinning in overcrowded pure stands under cultivated and natural conditions (Intraspecific competition among higher plants. XI) , 1963 .

[17]  W. M. Lonsdale,et al.  The Self-Thinning Rule: Dead or Alive? , 1990 .

[18]  A. Robledo.  RENORMALIZATION GROUP, ENTROPY OPTIMIZATION, AND NONEXTENSIVITY AT CRITICALITY , 1999 .

[19]  James H. Brown,et al.  Allometric scaling of plant energetics and population density , 1998, Nature.

[20]  B. Gnedenko,et al.  Random Summation: Limit Theorems and Applications , 1996 .

[21]  Donald E. Weller,et al.  A Reevaluation of the ‐3/2 Power Rule of Plant Self‐Thinning , 1987 .

[22]  M Franco,et al.  The interspecific mass-density relationship and plant geometry. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[23]  H Wu,et al.  Nearest-neighbor distribution of interacting biological entities. , 1995, Journal of theoretical biology.

[24]  Hsin-I Wu,et al.  Ecological field theory: A spatial analysis of resource interference among plants , 1985 .