and Applied Probability and

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 proc...

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Bibliographic Details
Main Authors: Björn Birnir, Jorge Hernández, Terence R. Smith
Other Authors: The Pennsylvania State University CiteSeerX Archives
Format: Text
Language:English
Subjects:
fluvial
surface
erosion
self-organized critical
SPDE
stochastic pro- cess
scalings
variogram
statistical quantities
invariant measure
ill-posed problems
SOC
Reykjavík
Iceland
Online Access:http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.65.262
http://www.math.ucsb.edu/~birnir/papers/stochland.pdf
Description
Summary: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, characterized by respectively temporal and spatial scalings. The mathematical theory of SOC systems is developed and used to identify three stochastic processes that shape the and the University of Iceland, 107 Reykjavík

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