Show simple item record Haff, Peter en_US 2011-06-21T17:22:02Z 2011-06-21T17:22:02Z 2010 en_US
dc.identifier.citation Furbish,David Jon;Haff,Peter K.. 2010. From divots to swales: Hillslope sediment transport across divers length scales. Journal of Geophysical Research-Earth Surface 115( ): F03001-F03001. en_US
dc.identifier.issn 0148-0227 en_US
dc.description.abstract In soil-mantled steeplands, soil motions associated with creep, ravel, rain splash, soil slips, tree throw, and rodent activity are patchy and intermittent and involve widely varying travel distances. To describe the collective effect of these motions, we formulate a nonlocal expression for the soil flux. This probabilistic formulation involves upslope and downslope convolutions of land surface geometry to characterize motions in both directions, notably accommodating the bidirectional dispersal of material on gentle slopes as well as mostly downslope dispersal on steeper slopes, and it distinguishes between the mobilization of soil material and the effect of surface slope in giving a downslope bias to the dispersal of mobilized material. The formulation separates dispersal associated with intermittent surface motions from the slower bulk behavior associated with small-scale bioturbation and similar dilational processes operating mostly within the soil column. With a uniform rate of mobilization of soil material, the nearly parabolic form of a hillslope profile at steady state resembles a diffusive behavior. With a slope-dependent rate of mobilization, the steady state hillslope profile takes on a nonparabolic form where land surface elevation varies with downslope distance x as x(a) with a similar to 3/2, consistent with field observations and where the flux increases nonlinearly with increasing slope. The convolution description of the soil flux, when substituted into a suitable expression of conservation, yields a nonlinear Fokker-Planck equation and can be mapped to discrete particle models of hillslope behavior and descriptions of soil-grain transport by rain splash as a stochastic advection-dispersion process. en_US
dc.language.iso en_US en_US
dc.relation.isversionof doi:10.1029/2009JF001576 en_US
dc.subject soil production en_US
dc.subject field evidence en_US
dc.subject evolution en_US
dc.subject diffusion en_US
dc.subject microtopography en_US
dc.subject bioturbation en_US
dc.subject distance en_US
dc.subject creep en_US
dc.subject geosciences, multidisciplinary en_US
dc.title From divots to swales: Hillslope sediment transport across divers length scales en_US
dc.title.alternative en_US
dc.description.version Version of Record en_US 2010-7-2 en_US
duke.description.endpage F03001 en_US
duke.description.issue en_US
duke.description.startpage F03001 en_US
duke.description.volume 115 en_US
dc.relation.journal Journal of Geophysical Research-Earth Surface en_US

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