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The Stochastic Theory of Fluvial Landsurfaces Bjorn Birnir

Summary: The Stochastic Theory of Fluvial Landsurfaces
Bjšorn Birnir

Department of Mathematics,
Jorge HernŽandez
Department of Statistics
and Applied Probability
Terence R. Smith
Department of Geography
University of California
Santa Barbara, CA 93106, USA
A stochastic theory of fluvial landsurfaces is developed for transport-limited erosion,
using well-established models for the water and sediment fluxes. The mathematical mod-
els and analysis is developed showing that some aspects of landsurface evolution can be
described by Markovian stochastic processes. The landsurfaces are described by non-
deterministic stochastic processes, characterized by a statistical quantity the variogram,
that exhibits characteristic scalings. Thus the landsurfaces are shown to be SOC (Self-
organized-critical) systems, possessing both an initial transient state and a stationary state,


Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara


Collections: Mathematics