Comments on Two Different Approaches to the Analysis of Species Frequency Data

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Abstract
Let x = (x1, x2, ... x3) be the abundances of the species in a community of s species, and let nr, r = 1, 2, ..., be the number of species represented by r individuals in a sample drawn at random from the population. The components of x are not independently and identically distributed random variables. Since the assumption of statistically equivalent species was the basis for much of the work in this branch of statistical ecology, a general reformation of symmetric models is proposed that improves the realism without changing the distribution of (n1, n2, ...). Two examples of such reformulated models are given. In addition, some of the main results in the literature are classified as being conditional or unconditional upon x, and a proposal is given as to how the stability of population parameters may be investigated.

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