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Documenting the shape of the frequency distribution of species body sizes for an animal taxon appears at first sight a straightforward task. However, a variety of patterns has been reported, and a consensus is only now being reached through an understanding of how potential biases may affect observed shapes of distributions. A new body of evidence suggests that, at large scales, size distributions are right-skewed, even on logarithmic axes. If body size distributions can be described with certainty, this will allow assessment of the mechanisms proposed to generate them, and will be an important step towards understanding the structure and dynamics of animal assemblages., (Copyright © 1994. Published by Elsevier Ltd.)

Frequency distributions of body size have been reported in the literature for a range of animal higher taxa. However, the reported shapes of these distributions may be biased by species missing from them, specifically by currently undiscovered species. There is a body of evidence that the small-bodied species in a taxon are described later, on average, than the large-bodied. From this, we predict that the means of animal body size frequency distributions should decrease through time, and the skewnesses of the distributions increase. These predictions are shown to be true for body size distributions for five different higher taxa of animals. Thus, any reported body size distribution for a taxon is likely to be systematically biased, even if it includes all the species which are known, if many species are likely to remain undiscovered.

There is a growing body of evidence suggesting that locally rare and geographically restricted species may have characteristics that differ from those of taxa that are more common. Several studies show that rare taxa have lower levels of self-incompatibility, a tendency toward asexual reproductive pathways, lower overall reproductive effort and poorer dispersal abilities. There are several mechanisms that could be responsible for such differences, but they may in practice be difficult to differentiate. Nonetheless, the documentation of recurrent rare-common differences is of vital importance because it may allow us to compensate partially for the bias of the published literature toward studies of common taxa., (Copyright © 1993. Published by Elsevier Ltd.)

Principal and reduced major axes, and Bulmer's (1975) tests have been suggested as methods for detecting the presence of density dependence in a series of population censuses that are unsuitable for analysis by alternative means e.g. by k-factor analysis. These alternative methods are tested using census data, some of which are previously unpublished, from natural populations known from independent evidence to be subject to density dependent processes. All the methods fail to detect density dependence reliably, irrespective of sample size and the dynamics of the population. We conclude that none of the methods tested is sufficiently reliable to be useful as a test of density dependence in sequential censues of animal populations.