SUMMARY (1) Monocultures of Agrostemma githago, Cichorium endivium and Festuca pratensis were grown at high densities to investigate the effects of plant geometry on self-thinning. Whilst populations of all three species followed the -3/2 power law when weight was plotted against density on logarithmic scales the intercepts were different and fell in the order Festuca > Agrostemma > Cichorium. These differences are related to plant geometry. (2) Published reports show that coniferous trees generally have higher intercepts than deciduous trees and that grasses have higher intercepts than dicotyledons. (3) The mean volume of canopy available to each plant was also found to be related to density by the -3/2 power law. However, the intercepts for a number of species on a volume-density plot on logarithmic scales all fell within one order of magnitude in comparison with two orders of magnitude on a weight-density plot. (4) The biomass which could be packed into a given volume of space generally increased with canopy height, but the range was nevertheless relatively narrow (1 .5-5.2 kg m-3) for the three species. Only part of the variation in intercept between species on a weight-density plot could be related to differences in biomass packing. (5) Variation in the biomass per unit volume through time means that the gradient of the thinning line on a weight-density plot may be different to that on a volume plot. It is suggested that the -3/2 power law might be better stated in terms of canopy volume rather than weight.