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AGU: Geophysical Research Letters

 

Index Terms

  • Mathematical Geophysics: Nonlinear dynamics
  • Planetology: Solid Surface Planets: Erosion and weathering

Abstract

Transition between stable states in the dynamics of soil development

Paolo D'Odorico

Department of Civil Engineering, Texas A&M University, College Station, Texas, USA

Amilcare Porporato

Dipartimento di Idraulica, Trasporti e Infrastrutture Civili, Politecnico di Torino, Torino, Italy

Luca Ridolfi

Dipartimento di Idraulica, Trasporti e Infrastrutture Civili, Politecnico di Torino, Torino, Italy

The dynamics of soil development and erosion is studied through a stochastic soil mass balance in which the soil production by bedrock weathering is expressed as a state‐dependent deterministic function, while the erosion by landslides is modeled as a marked Poisson process. For a range of values of the parameters the dynamics is bistable and the noise drives the transitions from a state to another through a potential barrier. The rates of such a transition are analytically estimated and their dependence on the system parameters is briefly discussed.

Received 1 September 2000; accepted 27 November 2000; .

Citation: D'Odorico, P., A. Porporato, and L. Ridolfi (2001), Transition between stable states in the dynamics of soil development, Geophys. Res. Lett., 28(4), 595–598.

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