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Exponential Distribution Theory and the Interpretation of Splash Detachment and Transport Experiments
Author(s) -
Dijk A. I. J. M.,
Meesters A. G. C. A.,
Bruijnzeel L. A.
Publication year - 2002
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj2002.1466
Subject(s) - splash , exponential function , sediment , mechanics , sediment transport , exponential decay , function (biology) , erosion , statistical physics , environmental science , geology , soil science , mathematics , physics , meteorology , mathematical analysis , geomorphology , nuclear physics , evolutionary biology , biology
Soil detachment and transport by rainsplash is usually the first step in soil loss and sediment transport. It can be measured using a variety of approaches, including splash cups, trays, and boards. However, the results of splash experiments are affected by their geometry and not readily translated into generally applicable parameters. In this study, we develop a theory that can be used to interpret splash experiments. It is based on the assumption that the spatial distribution of particles splashed from a point source can be described by an exponential decay function, for which there is considerable support in the literature. The theory is evaluated for the cited experimental techniques, partly with the use of a numerical model. It is made clear that conventional measurements of splash and the true rate of detachment by splash are two different entities that can be linked if the average splash length is known. In principle, the theory is not valid for a sloping surface, but analysis of the magnitude of the error involved indicates that in many cases good estimates of detached amounts can still be obtained.