A Dynamical System Approach to Aridity and Desertification

Erez Gilad; Jost Hardenberg; Ehud Meron; Moshe Shachak; Yair Zarmi

doi:10.1007/978-1-4020-2316-3_64

A Dynamical System Approach to Aridity and Desertification

Erez Gilad
, Jost Hardenberg
, Ehud Meron
, Moshe Shachak
, Yair Zarmi

Department of Physics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

A large-scale view of arid regions often shows that the vegetation grows in patterns. These are related to the amount of precipitation as well as to the topography. A model is presented that reproduces the wide range of patterns observed in water-limited regions, from bare soil at very low precipitation to uniform cover at high precipitation, through intermediate states of spot-, stripe-and hole-patterns. The model pre-dicts the coexistence of more than one stable state in a given range of precipitation. The results of the model lead to an understanding of

Original language	English
Title of host publication	Continuum Models and Discrete Systems
Editors	D. Bergman , E. Inan
Publisher	Kluwer Academic Publishers
Pages	405-418
Volume	158
ISBN (Print)	978-1-4020-2315-6
DOIs	https://doi.org/10.1007/978-1-4020-2316-3_64
State	Published - 16 Oct 2003

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10.1007/978-1-4020-2316-3_64

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AU - Gilad, Erez

AU - Hardenberg, Jost

AU - Meron, Ehud

AU - Shachak, Moshe

AU - Zarmi, Yair

PY - 2003/10/16

Y1 - 2003/10/16

N2 - A large-scale view of arid regions often shows that the vegetation grows in patterns. These are related to the amount of precipitation as well as to the topography. A model is presented that reproduces the wide range of patterns observed in water-limited regions, from bare soil at very low precipitation to uniform cover at high precipitation, through intermediate states of spot-, stripe-and hole-patterns. The model pre-dicts the coexistence of more than one stable state in a given range of precipitation. The results of the model lead to an understanding of

AB - A large-scale view of arid regions often shows that the vegetation grows in patterns. These are related to the amount of precipitation as well as to the topography. A model is presented that reproduces the wide range of patterns observed in water-limited regions, from bare soil at very low precipitation to uniform cover at high precipitation, through intermediate states of spot-, stripe-and hole-patterns. The model pre-dicts the coexistence of more than one stable state in a given range of precipitation. The results of the model lead to an understanding of

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M3 - Chapter

SN - 978-1-4020-2315-6

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EP - 418

BT - Continuum Models and Discrete Systems

A2 - Bergman , D.

A2 - Inan , E.

PB - Kluwer Academic Publishers

ER -

A Dynamical System Approach to Aridity and Desertification

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