Reconstructions of the past positions of the continents indicate that
at least twice a supercontinent has formed and subsequently split and
dispersed as smaller continents. This has led to speculation about the
existence of a periodic cycle of supercontinent coalescence and break
up, for which various mechanisms involving mantle dynamics have been p
roposed. In this paper we investigate the plate-tectonic system by mea
ns of a simple kinematic model to determine to what extent its behavio
r results from geometric or kinematic factors as opposed to dynamic pr
ocesses. Results from computer simulations show that the overall behav
ior of the system is determined by the dimensionless parameter T = Ome
ga tau, where Omega is the mean relative angular speed of the continen
ts and tau is the mean time interval between plumes. The results for T
= 0.10 are in good agreement with observations and indicate that a su
percontinent is unlikely to form at current plate speeds in the presen
ce of steady-state plume fluxes; evidence of supercontinents therefore
implies that plume fluxes and plate speeds have varied through time.