Theoretical size distribution of fossil taxa: Analysis of a null model

Abstract

Background. This article deals with the theoretical size distribution (of number of sub-taxa) of a fossil taxon arising from a simple null model of macroevolution. Model. New species arise through speciations occurring independently and at random at a fixed probability rate, while extinctions either occur independently and at random (background extinctions) or cataclysmically. In addition new genera are assumed to arise through speciations of a very radical nature, again assumed to occur independently and at random at a fixed probability rate. Conclusion. The size distributions of the pioneering genus (following a cataclysm) and of derived genera are determined. Also the distribution of the ..