Fractional dispersion in a sand bed river

By D. Nathan Bradley, Gregory E. Tucker, David A. Benson. 2010

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Fractional advection‐dispersion equations for modeling transport at the Earth surface (2009, background): “and flow field variation [Stark et al., 2009; Bradley et al., 2009] in streams or disturbance events on hillslopes that mobilize colluvium over a wide range of scales (FoufoulaGeorgiou et al.”
Analyzing High Resolution Topography for Advancing the Understanding of Mass and Energy Transfer Through Landscapes: A Review (2015, background): “…flux at a point (e.g., sediment flux) as a function of the conditions in some neighborhood around this point in space and/or in time40 (e.g., Bradley et al., 2010; Foufoula-Georgiou et al., 2010; Ganti et al., 2010; Tucker and Bradley, 2010; Foufoula-Georgiou and Passalacqua, 2013; Furbish…”
A probabilistic description of the bed load sediment flux: 1. Theory (2012, unknown): “8The marginal distribution f (8) [L ] of the displacements 8 is -1 which defines a distribution of hop distances, start to stop, without rest times [e.g. Einstein, 1950; Wong et al., 2007; Bradley et al., 2010; Ganti et al., 2010; Lajeunesse et al., 2010; Roseberry et al., 82012].”
The physical basis for anomalous diffusion in bed load transport (2012, background): “This statistical nonconvergence in turn complicates our ability to infer sediment flux from finite sampling [Nikora et al., 2002; Ganti et al., 2009; Singh et al., 2009; Bradley et al., 2010].”