Distributional shape triangles with some applications in sedimentology
The location-scale invariant parameters χ and ξ of the hyperbolic distribution have a triangular domain of variation which is referred to as the hyperbolic shape triangle. There are close analogies between the hyperbolic distributions, the generalized logistic distributions and the beta distributions, which make it possible also to define a logistic or a beta shape triangle.
Using a population concept of sediment samples it is shown that both the hyperbolic shape triangle and the beta shape triangle provide useful information on variations of grain size distributions, in cross-shore transects. This information can be related to the process-oriented erosion/deposition model developed previously in connection with the hyperbolic shape triangle.
KeywordsGrain Size Distribution Beta Distribution Littoral Environment Invariant Parameter Swash Zone
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