Moments of Particle Size Distributions under Sequential Breakage with Applications to Species Abundance.

@inproceedings{Siegel1983MomentsOP,
  title={Moments of Particle Size Distributions under Sequential Breakage with Applications to Species Abundance.},
  author={Andrew R. Siegel and Harold M. Hastings},
  year={1983}
}
Abstract : The sequential broken stick model has appeared in numerous contexts, including biology, physics, engineering and geology. Kolmogorov showed that under appropriate conditions, sequential breakage processes often yield a lognormal distribution of particle sizes. Of particular interest to ecologists is the observed variance of the logarithms of the sizes, which characterizes the evenness of an assemblage of species. We derive the first two moments for the logarithms of the sizes in… CONTINUE READING