2014
DOI: 10.1103/physrevlett.112.078701
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Interplay between Turing Mechanisms can Increase Pattern Diversity

Abstract: We use the context of dryland vegetation to study a general problem of complex pattern-forming systems: multiple pattern-forming instabilities that are driven by distinct mechanisms but share the same spectral properties. We find that the co-occurrence of two Turing instabilities when the driving mechanisms counteract each other in some region of the parameter space results in the growth of a single mode rather than two interacting modes. The interplay between the two mechanisms compensates for the simpler dyn… Show more

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Cited by 43 publications
(40 citation statements)
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“…We refer the reader to Kinast et al . (; their Fig. 1b) and Figure S3, which show that the uptake‐diffusion feedback can indeed generate the water reservoirs in the centre of the FCs, because once the vegetation dies off, precipitation of the next rainy season can percolate deeply into the soil.…”
Section: Clarifying Misunderstandingsmentioning
confidence: 88%
See 1 more Smart Citation
“…We refer the reader to Kinast et al . (; their Fig. 1b) and Figure S3, which show that the uptake‐diffusion feedback can indeed generate the water reservoirs in the centre of the FCs, because once the vegetation dies off, precipitation of the next rainy season can percolate deeply into the soil.…”
Section: Clarifying Misunderstandingsmentioning
confidence: 88%
“…As demonstrated by Kinast et al . (), soil‐water diffusion can accelerate the local vegetation growth but inhibit the growth in the neighbourhood at further distances because soil‐water diffusion draws water from this neighbourhood. As water is limited in these unstable grasslands, this process may initiate plant death and subsequently a new FC emerges where the biomass and soil‐water distributions are in so‐called ‘antiphase’.…”
Section: Clarifying Misunderstandingsmentioning
confidence: 99%
“…) and (iii) to the assumption of weak water uptake by plants' roots or slow lateral soil water diffusion (Kinast et al . ). The simplified model readsdBidt=normalΛifalse(Bfalse)normalΩifalse(Bifalse)1BiKiWBiMifalse(Bifalse)Bi,i=1,,Ndwdt=PLWΓfalse(Bfalse)W,…”
Section: Methodsmentioning
confidence: 97%
“…Positive feedbacks exist between vegetation and soil moisture, leading to transport of water to vegetated patches [ Cramer et al , ], mostly through soil water diffusion toward the root zone. This process enhances the vegetation growth in areas where soil moisture is available and inhibits vegetation at farther distances where moisture is limited [ Kinast et al , ]. The severe competition for available moisture may create the central bare areas in the grass patches, as observed in several studies [ Bonanomi et al , ; Sheffer et al , ; Ravi et al , ].…”
Section: Introductionmentioning
confidence: 99%