We have used statistical methods for the analysis of two-dimensional point patterns to derive quantitative descriptions of the distributions of caveolae on freeze-fractured muscle fibre membranes. One method was based on a quadrat analysis while the second was a new procedure that we have called the interpoint distance analysis. We show that the latter analysis can unambiguously distinguish random, clustered and dispersed patterns and that a single parameter can be derived that can be used to compare different distributions. It is readily applicable to patterns containing several hundred points. Practical details of the method are given and a simple algorithm that can be implemented on a microcomputer is provided. The interpoint distance analysis should prove generally useful in situations where the two-dimensional distribution of objects has to be quantified.
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Appleyard et al. (1985) studied this question.
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