Stochastic Models of Sediment Motion on Flat Bed

Plausible stochastic models for resting period, moving period, and step length are constructed to describe the longitudinal sediment motion on a flat bed under steady uniform flows. Resting period is found to be compound exponentially distributed (J-shaped) with a random hazard rate which has a monotonically decreasing probability density function. Step length and resting period are found to be exponentially distributed (J-shaped) when the flow is slow. They possess bell-shaped probability density functions when the flow is faster and have weak associations with the preceding resting period.