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Keywords:

  • −3;
  • 2 law;
  • community ecology;
  • population dynamics;
  • self-thinning law;
  • self-thinning trajectory

Summary

  • 1
    In this paper a new formulation of the self-thinning law for plant populations is presented, based on dynamical principles. The basis of the new approach is explicitly to separate the equation of state (total = mean × number) from the change in state (δtotal = mean × δnumber + number × δmean).
  • 2
    Using the dynamical approach, an analytical expression for the self-thinning exponent is derived which shows that the self-thinning exponent follows a trajectory, but whenever the total is constant the self-thinning exponent must, by definition, = −1. Conversely, whenever the total varies the self-thinning exponent must, by definition, differ from −1. The underlying general principles of self-thinning trajectories are deduced.
  • 3
    The new dynamic interpretations are general because they are independent of the details about how the changes in the number and mean occurred.
  • 4
    The theory is demonstrated using a typical self-thinning experiment.