journal article
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Interspecific Variability in Randomly Evolving Clades: Models for Testing Hypotheses on the Relative Evolutionary Flexibility of Quantitative Traits
1990 Systematic Biology
doi: 10.2307/2992449pmid: N/A
AbstractComputer simulations of randomly evolving lineages were performed using the model of Raup and Gould (1974). The mean, variance, and distribution of quantitative traits were evaluated. These results were compared with the predictions of diffusion theory (Slatkin, 1981). It is a common feature of all simulations that the predictions fit better in rapidly expanding clades than in slowly expanding clades. Hence, high probabilities of extinction compared to the probability of speciation cause a high degree of stochasticity in character dispersion. We therefore recommend restricting the statistical analysis of interspecific variation to recent and rapidly evolving clades. The results also show that the within clade mean has exceedingly high interclade variance, which calls into question the significance of a direct comparison of within clade means. In contrast the distribution of variances and variance ratios of two traits is more predictable and these statistical parameters might be useful in comparative biology: variances increase linearly with time according to the diffusion approximation, variance ratios of two independent traits follow approximately an F- (variance-ratio) distribution, and the distribution of the variance ratio is independent of speciation rate and the age of the clade. On the basis of these results it is possible to design two kinds of statistical tests: 1) Comparing the variances of a set of homologous traits in two monophyletic clades allows one to test whether the traits show cladespecific evolutionary flexibilities. 2) The ratio of variances of two different traits within the same clade provides a measure of the relative evolutionary flexibility of two traits which is independent of the exact phylogeny and the age of the clade. To illustrate the application of these tests the interspecific variation of seven meristic characters from three clades of blennioid fishes is analysed.