Tabulation of thickness data on nearly 3000 Proterozoic and Paleozoic
peritidal carbonate cycles indicates that metre-scale facies associati
ons exhibit exponential thickness frequency distributions. Because car
bonate deposition occurs during infilling of available space between s
ea level and the surface of the preceding cycle, and because the rate
of generation of accommodation space is ultimately determined by rates
of platform subsidence, thicknesses of individual cycles must record
the duration of time since deposition of underlying units. Exponential
thickness distributions therefore require either that upward-shoaling
carbonates record apetiodic accumulation, or that any periodic forcin
g manifest during sedimentation has been masked by the vagarious natur
e of depositional processes. Such a conclusion is contrary to interpre
tation of such carbonate units as originating from high-frequency eust
atic change. In addition, exponential thickness distributions and sequ
ence thickness structures are replicated when assuming a random probab
ility of carbonate deposition under conditions of constant subsidence.
The nature of cycle thickness distributions therefore invalidates vir
tually any endeavor to derive an average depositional period from mean
cycle thicknesses, and refutes the use of such estimates as proxy rec
ords of past sea-level oscillation frequency, whether they are related
to Milankovitch-band climate forcing or to any other periodic process
.