Reinterpretation of field studies of bedload transport allowed some po
wer-law relations to be obtained between different quantities. They we
re taken as a basis for the construction of a numerical model simulati
ng bedload transport. The deposition-erosion process is presented as a
sequence of individual events with intensities distributed according
to a power law, characteristic of the regime of self-organized critica
lity. The model output (sedimentary cross sections with the model age
of each of its elements) is rich in features resulting from the non-li
nearity of the underlying process. Analysis of the results of a series
of numerical experiments provided an estimation of scale invariance o
f model sedimentary structures in space and time. These data are teste
d against observed regularities of spaciotemporal variability of real
sedimentary sequences. Good agreement of these data makes it possible
to extrapolate the scaling relations obtained to larger scales.