Pattern selection and hysteresis in the Rietkerk model for banded vegetation in semi-arid environments
نویسندگان
چکیده
منابع مشابه
Pattern selection and hysteresis in the Rietkerk model for banded vegetation in semi-arid environments.
Banded vegetation is a characteristic feature of semi-arid environments. It occurs on gentle slopes, with alternating stripes of vegetation and bare ground running parallel to the contours. A number of mathematical models have been proposed to investigate the mechanisms underlying these patterns, and how they might be affected by changes in environmental conditions. One of the most widely used ...
متن کاملPattern solutions of the Klausmeier Model for banded vegetation in semi-arid environments I
In many semi-arid environments, vegetation cover is sparse, and is selforganized into large-scale spatial patterns. In particular, banded vegetation is typical on hillsides. Mathematical modelling is widely used to study these banded patterns, and many models are effectively extensions of a coupled reaction–diffusion–advection system proposed by Klausmeier (1999 Science 284 1826–8). However, th...
متن کاملPattern solutions of the Klausmeier model for banded vegetation in semi-arid environments III: The transition between homoclinic solutions
Self-organised patterns of vegetation are a characteristic feature of semi-deserts. On hillsides, these typically comprise vegetation bands running parallel to the contours, separated by regions of bare ground (‘‘tiger bush’’). The present study concerns the Klausmeier mathematical model for this phenomenon [C.A. Klausmeier, Regular and irregular patterns in semiarid vegetation, Science 284 (19...
متن کاملNonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments.
In many semi-arid environments, vegetation is self-organised into spatial patterns. The most striking examples of this are on gentle slopes, where striped patterns are typical, running parallel to the contours. Previously, Klausmeier [1999. Regular and irregular patterns in semiarid vegetation. Science 284, 1826-1828.] has proposed a model for vegetation stripes based on competition for water. ...
متن کاملBanded vegetation in some Australian semi-arid landscapes: 20 years of field observations to support the development and evaluation of numerical models of vegetation pattern evolution
Periodic vegetation patterns (PVPs) are striking features of many global drylands. Although they have attracted wide research study, resulting in many hypotheses, their origin and controlling factors remain unresolved. Theoretical works dominate a large literature seeking to account for the occurrence and properties of PVPs, especially banded vegetation patterns (‘tiger bush’). In light of...
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ژورنال
عنوان ژورنال: Journal of The Royal Society Interface
سال: 2014
ISSN: 1742-5689,1742-5662
DOI: 10.1098/rsif.2014.0465