Exponential thickness frequencies of peritidal carbonate units in the
Lower Ordovician Kindled and West Spring Creek Formations at Ardmore,
Oklahoma, are readily interpreted in a context of probabilities of ups
ection transition from one lithology to another, These largely reflect
Poisson (random) processes of deposition from suspended load, tractio
n load, and microbialitic accumulation, Although grainy to muddy parti
culate and cyanobacterial elements exhibit nearly equal ranges of unit
thickness, carbonate generation and/or entrapment via algally mediate
d processes was less likely to lapse and therefore led to lower probab
ility of transition to some other sediment type. The mean thickness of
microbially bound units is roughly double those from the physical tra
nsport and deposition of particulate material, Greater persistence of
algal accumulation probably related to intrinsically higher biological
ly induced rates of carbonate precipitation and/or binding by cyanobac
teria. Stratigraphic intervals between successive occurrences of suspe
nded load, traction Bead, and microbial units are also closely approxi
mated by exponential frequency distributions for which regression slop
es define probabilities of upsection recurrence of a particular sedime
nt type. Values for grainy and algal carbonates are similar and are ne
arly twice that of muddy suspended-load units, Although biological pro
cesses resulted in significantly lower transition probabilities for th
rombolitic bioherms and cryptalgal laminites, spatial dominance of car
bonate mud across the region led to higher rates of stratigraphic recu
rrence and a volumetric dominance of muddy lithologies in the Ardmore
sequence. Poissonian distributions of unit stratigraphic duration and
recurrence suggest a significant component of haphazard variation in t
he type and amount of accumulated carbonate sediment, If deposition wa
s influenced by extrabasinal forcing, such control must have been near
ly random in both secular and spatial dimensions of water depth change
, Stratigraphic durations and recurrences in this sequence more closel
y reflect the inherently stochastic nature of carbonate accumulation i
n epicratonic platformal settings than any influence of rhythmic eusta
tic forcing.