Transition between stable states in the dynamics of soil development

Paolo D'Odorico; Amilcare Michele M. Porporato; Luca Ridolfi

doi:10.1029/2000GL012290

Transition between stable states in the dynamics of soil development

Paolo D'Odorico, Amilcare Michele M. Porporato, Luca Ridolfi

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6 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	595-598
Number of pages	4
Journal	Geophysical Research Letters
Volume	28
Issue number	4
DOIs	https://doi.org/10.1029/2000GL012290
State	Published - Feb 15 2001

All Science Journal Classification (ASJC) codes

Geophysics
General Earth and Planetary Sciences

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10.1029/2000GL012290

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abstract = "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.",

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AU - Ridolfi, Luca

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N2 - 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.

AB - 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.

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JO - Geophysical Research Letters

JF - Geophysical Research Letters

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Transition between stable states in the dynamics of soil development

Abstract

All Science Journal Classification (ASJC) codes

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