Localized vegetation patterns, fairy circles, and localized patches in arid landscapes

被引：52

作者：

Escaff, D. ^{[1
]}

Fernandez-Oto, C. ^{[2
]}

Clerc, M. G. ^{[3
]}

Tlidi, M. ^{[2
]}

机构：

[1] Univ Los Andes, Fac Ingn & Ciencias Aplicadas, Complex Syst Grp, Santiago, Chile

[2] Univ Libre Bruxelles, Fac Sci, B-1050 Brussels, Belgium

[3] Univ Chile, Dept Fis, Santiago, Chile

来源：

PHYSICAL REVIEW E | 2015年 / 91卷 / 02期

关键词：

TRAVELING-WAVE CONVECTION; MYSTERIOUS CIRCLES; NAMIB DESERT; SOLITONS; ORIGIN; BISTABILITY; DYNAMICS; FRONTS; PULSES; MODEL;

D O I：

10.1103/PhysRevE.91.022924

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We investigate the formation of localized structures with varying widths in one- and two-dimensional systems. The mechanism of stabilization is attributed to strongly nonlocal coupling mediated by a Lorentzian type of kernel. We show that, in addition to stable dips found recently [see, e.g. Fernandez-Oto et al., Phys. Rev. Lett. 110, 174101 (2013)], there are stable localized peaks which appear as a result of strongly nonlocal coupling. We applied this mechanism to arid ecosystems by considering a prototype model of a Nagumo type. In one dimension, we study the front connecting the stable uniformly vegetated state to the bare one under the effect of strongly nonlocal coupling. We show that strongly nonlocal coupling stabilizes both-dip and peak-localized structures. We show analytically and numerically that the width of a localized structure, which we interpret as a fairy circle, increases strongly with the aridity parameter. This prediction is in agreement with published observations. In addition, we predict that the width of localized patch decreases with the degree of aridity. Numerical results are in close agreement with analytical predictions.

引用

页数：8

共 90 条

[11] Zig-zag instability of an Ising wall in liquid crystals [J].

Chevallard, C ;

Clerc, M ;

Coullet, P ;

Gilli, JM .

EUROPHYSICS LETTERS, 2002, 58 (05) :686-692

[12] Pattern formation and localized structures in reaction-diffusion systems with non-Fickian transport [J].

Clerc, M. G. ;

Tirapegui, E. ;

Trejo, M. .

PHYSICAL REVIEW LETTERS, 2006, 97 (17)

[13] Patterns and localized structures in population dynamics [J].

Clerc, MG ;

Escaff, D ;

Kenkre, VM .

PHYSICAL REVIEW E, 2005, 72 (05)

[14] Formation of localized structures in bistable systems through nonlocal spatial coupling. I. General framework [J].

Colet, Pere ;

Matias, Manuel A. ;

Gelens, Lendert ;

Gomila, Damia .

PHYSICAL REVIEW E, 2014, 89 (01)

[15] Localized patterns and fronts in nonequilibrium systems [J].

Coullet, P .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (11) :2445-2457

[16]

Coullet P, 2000, PROG THEOR PHYS SUPP, P46, DOI 10.1143/PTPS.139.46

[17] Plant clonal morphologies and spatial patterns as self-organized responses to resource-limited environments [J].

Couteron, P. ;

Anthelme, F. ;

Clerc, M. ;

Escaff, D. ;

Fernandez-Oto, C. ;

Tlidi, M. .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2014, 372 (2027)

[18] Are Namibian "Fairy Circles" the Consequence of Self-Organizing Spatial Vegetation Patterning? [J].

Cramer, Michael D. ;

Barger, Nichole N. .

PLOS ONE, 2013, 8 (08)

[19] Oscillon-type structures and their interaction in a Swift-Hohenberg model [J].

Crawford, C ;

Riecke, H .

PHYSICA D-NONLINEAR PHENOMENA, 1999, 129 (1-2) :83-92

[20] Patterns as indicators of productivity enhancement by facilitation and competition in dryland vegetation [J].

D'Odorico, Paolo ;

Laio, Francesco ;

Ridolfi, Luca .

JOURNAL OF GEOPHYSICAL RESEARCH-BIOGEOSCIENCES, 2006, 111 (G3)

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