Fractional calculus has been used to model various hydrologic processes for 15 years. Yet,
there are still major gaps between real-world hydrologic dynamics and fractional-order …

A high‐resolution data set obtained from high‐speed imaging of coarse sand particles
transported as bed load allows us to confidently describe the forms and qualities of the …

The advection‐diffusion equation is one of the most widespread equations in physics. It
arises quite often in the context of sediment transport, eg, for describing time and space …

In gravel bed rivers, bed load transport exhibits considerable variability in time and space.
Recently, stochastic bed load transport theories have been developed to address the …

Climate change is causing increasingly widespread, frequent, and intense wildfires across
the western United States. Many geomorphic effects of wildfire are relatively well studied, yet …

In the last decade several efforts were devoted to model sediment‐particle transport in rivers
as a stochastic process. Experimental observations are therefore needed to validate these …

Recent studies have emphasized the importance of nonlocal models in characterizing
bedload transport in natural rivers, particularly in mixed-size gravel beds or steep hillslopes …

Bed load transport is a highly stochastic, multiscale process, where particle advection and
diffusion regimes are governed by the dynamics of each sediment grain during its motion …

The ideas of advection and diffusion of sediment particles are probabilistic constructs that
emerge when the Master equation, a precise, probabilistic description of particle …

Bedload transport often exhibits dual‐mode behavior due to interactions of spatiotemporal
controlling factors with the migrating three‐dimensional bedforms (characterized by the fully …