The Birth of Physics in Israel
Prof. Yuval Ne'eman

Solitons: Self-Trapped Optical Beams
Mordechai Segev

Advances in Atomic & Molecular Nanotechnology
G. A. Mansoori

Celllular Automata
Stephen Wolfram

A New Seasons Definition
P. Alpert , I. Osetinsky, B. Ziv And H. Shafir

Eco-Complexity
Ehud Meron

Quasicrystals: From Kepler to Shechtman
Ron Lifshitz




  Issue No. 3
Eco-Complexity


Ehud Meron


Symmetry Breaking Patterns and Eco-Complexity -
Ecosystems, from rain forests to drylands, are complex systems involving large numbers of interacting species. Their properties are not always derivable from the properties of individual species.



Abstract

Collective species dynamics may lead to emergent properties that cannot be deduced from species properties alone. In this paper we consider water limited systems and study emergent properties related to habitat creation and species richness. The results presented here are based on a mathematical model that captures two modes of collective dynamics. The first is associated with key species termed "ecosystem engineers", such as shrubs, which redistribute the soil-water resource and create habitats for other species, e.g. annuals. The second mode is associated with symmetry breaking vegetation patterns of the ecosystem engineers and the associated soil-water patterns. Among the findings of this work is a novel mechanism for species loss or gain events as a result of environmental changes such as drought or human disturbances. If the affected species, e.g. the annuals, owe their very existence to the habitats created by the ecosystem engineers, their local extinction (or introduction) may result from environmental changes that induce pattern transitions of the ecosystem engineers involving loss (or gain) of habitats. We illustrate this emergent mechanism with transitions between bands and spots on a slope.

Click here to see the animation movie (or right click to save it first)


Model simulation showing the destabilization of a uniform vegetation state, as a precipitation parameter is decreased below a critical value, and the symmetry breaking vegetation pattern that evolves.



[Click here to read the article in Hebrew] [הקליקו כאן לקריאת המאמר בעברית]

About the Author :
Ehud Meron is a professor of physics at the Ben Gurion University of the Negev. He is a faculty member of the Solar Energy and Environmental Physics Department at the Blaustein Institute for Desert Research, and has a joint appointment with the Physics Department. His research interests include nonlinear dynamics and pattern dynamics, physics of complex systems and theoretical ecology. Professor Meron is the director of the Newman Information Center for Desert Research and Development. http://www.desert.bgu.ac.il



 


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