The mechanisms responsible for formation of peritidal parasequences have be
en a focus of debate between proponents of contrasting autocyclic and alloc
yclic models. To contribute to this debate a three-dimensional numerical fo
rward model of carbonate production, transport and deposition has been deve
loped. Shallowing-upward parasequences are produced in the model via carbon
ate island formation and progradation, with an element of self-organization
, and no external forcing. These autocyclic parasequences have characterist
ics comparable with peritidal parasequences observed in outcrop. Modelled p
arasequence thickness and duration depend primarily on subsidence rate and
sediment transport rate, illustrating the significance of sediment flux in
formation of peritidal parasequences. Adding an element of stochastic varia
tion of sediment transport rate and transport path leads to formation of no
nuniform-thickness parasequences that generate Fischer plots showing appare
nt hierarchies similar to those often interpreted as evidence of eustatic f
orcing. The model results do not rule out allocylic mechanisms, but suggest
that shoreline and island progradation are also plausible mechanisms to cr
eate variable-thickness, shallowing-upward peritidal parasequences and shou
ld be considered in interpretations of such strata.