@article {Buford:1985-06-01T00:00:00:0015-749X:331,
author = "Buford, M. A. and Hafley, W. L.",
title = "Probability Distributions as Models for Mortality",
journal = "Forest Science",
volume = "31",
number = "2",
year = "1985-06-01T00:00:00",
abstract = "The necessary attributes for a mortality model for an even-aged forest stand are stated. The Weibull distribution, the gamma distribution, and the negative binomial distribution are proposed based on their previous use in failure research and as mortality models. A distribution derived from the Richards generalization of the von Bertalanffy growth equation is proposed. The four functions are examined mathematically and empirically using data from a loblolly pine spacing study to determine their usefulness as mortality models. The negative binomial distribution and its continuous analog, the gamma distribution, show instability under right-censoring and are computationally difficult. The Weibull distribution shows extreme instability under right-censoring due to constraints on the location of the inflection points of its probability density function, limiting its value as a mortality model. The distribution derived from the Richards generalization of the von Bertalanffy function is stable under right-censoring, shows no constraints on assumable shapes, and is computationally simple. Forest Sci. 31:331-341.",
pages = "331-341",
url = "http://www.ingentaconnect.com/content/saf/fs/1985/00000031/00000002/art00011",
keyword = "gamma distribution, Weibull distribution, Richards function, Negative binomial distribution"
}