Trends in Ecology & Evolution
ReviewRegular pattern formation in real ecosystems
Section snippets
Spatial self-organization
Theoretical ecologists increasingly emphasize that ecosystems can reveal spatial self-organization. Spatial self-organization is the process where large-scale ordered spatial patterns emerge from disordered initial conditions through local interactions. This process is key to understanding ecological stability and diversity [1]. Causal mechanisms explaining spatial self-organization include oscillating consumer–resource interactions leading to spiral waves 2, 3, localized disturbance-recovery
Scale-dependent feedback
Ecosystems consist of organisms and the environment, which interact with each other. These interactions can impose various feedbacks upon the organisms and the environment. The feedback can be negative, for example when organisms deplete resources, leading to competition. Positive feedback can also occur, for example if organisms help others to survive through facilitation, by modifying the environment. If positive and negative feedbacks occur at different spatial scales (i.e. scale-dependent
Arid ecosystems
Regular pattern formation in arid ecosystems occurs in the form of stripes (‘tiger bush’), labyrinths, spots (‘leopard bush’) and gaps 15, 16, 17, 18, 19, 20, 21 (Figure 2a). Part of the mechanism is short-distance positive feedback between vegetation and soil water availability. Higher vegetation density enables higher water infiltration into the soil. The second part is subsequent redistribution of overland flow driven by differences in rainwater infiltration into the soil. The consequence of
Long-distance negative feedback
The study of the marsh tussocks makes it clear that long-distance negative feedback is essential for regular pattern formation in all of these ecosystems [46]. First, this means that short-distance positive feedback is not essential for regular pattern formation. Second, it implies that short-distance feedback alone, unaccompanied by long-distance feedback, will not be a sufficient condition for regular patterns to form (Figure 1). Indeed, the regularity of a pattern is determined by the
Ecosystem functioning
We reviewed studies from a wide range of ecosystems in which scale-dependent feedback is proposed to explain regular pattern formation. The mechanisms involved all correspond to Turing's scale-dependent activator–inhibitor principle and only differ in the details. The examples from arid ecosystems, wetland ecosystems, savanna ecosystems and coral reefs involve resource concentration in a so-called activator-depleted substrate system [14]. Here, the activation and inhibition mechanisms are
Acknowledgements
M.R. is supported by a personal VIDI grant from the Netherlands Organization of Scientific Research, Earth and Life Sciences (NWO-ALW). We thank David Bercovici, Wladimir Bleuten, Norbert Dankers, Chris Klausmeier, Brian Helmuth, David Jupp, Elena Lapshina, Olivier Lejeune, Roland Thar and Martin Wassen for sharing their photographs. Stefan Dekker, Maarten Eppinga, Jo Gascoigne, Erez Gilad, Frédéric Guichard and Sonia Kéfi provided comments and ideas that significantly improved the article.
Glossary
- Localized disturbance-recovery processes
- disturbance occurs primarily close to a site already disturbed (e.g. by wind) and recovery takes place primarily close to a site that is occupied by organisms (e.g. by local seed dispersal).
- Long-distance negative feedback
- ecological interactions resulting in a net negative feedback between organisms and their environment at a particular distance from the organisms.
- Long-range competition
- the process where organisms, by depleting resources, constrain the
References (65)
Spatial self-organization in ecology: pretty patterns or robust reality?
Trends Ecol. Evol.
(1997)- et al.
Criticality and disturbance in spatial ecological systems
Trends Ecol. Evol.
(2005) The chemical basis of morphogenesis. 1953
Bull. Math. Biol.
(1990)Short range co-operativity competing with long range inhibition explains vegetation patterns
Acta Oecologia
(1999)Inclusion of facilitation into ecological theory
Trends Ecol. Evol.
(2003)Morphological variation in coral aggregations: branch spacing and mass flux to coral tissues
J. Exp. Mar. Bio. Ecol.
(1997)Observing, modelling, and validating snow redistribution by wind in a Wyoming upper treeline landscape
Ecol. Model.
(2006)Lithologic, structural, and geomorphic controls on ribbon forest patterns in a glaciated mountain environment
Geomorphology
(2003)- et al.
Positive-feedback switches in plant-communities
Adv. Ecol. Res.
(1992) The effect of geomorphological structures on potential biostabilisation by microphytobenthos on intertidal mudflats
Cont. Shelf Res.
(2000)
Interplay between biology and sedimentology in a mudflat (Biezelingse Ham, Westerschelde, The Netherlands)
Cont. Shelf Res.
Local facilitation, bistability and transitions in arid ecosystems
Theor. Popul. Biol.
Complex pattern formation of marine gradient bacteria explained by a simple computer model
FEMS Microbiol. Lett.
Self-Organization in Complex Ecosystems
Spatial structure and chaos in insect population-dynamics
Nature
Mussel disturbance dynamics: signatures of oceanographic forcing from local interactions
Am. Nat.
Pattern generation in space and aspect
SIAM Rev.
Self-organization induced by the differential flow of activator and inhibitor
Phys. Rev. Lett.
Localized structures and front propagation in the Lengyel-Epstein model
Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics
Stable static localized structures in one dimension
Phys. Rev. Lett.
Localized structures and localized patterns in optical bistability
Phys. Rev. Lett.
Self-organization of sorted patterned ground
Science
Mathematical Biology
The Algorithmic Beauty of Sea Shells
Regular and irregular patterns in semiarid vegetation
Science
Periodic spotted patterns in semi-arid vegetation explained by a propagation-inhibition model
J. Ecol.
Vegetation pattern formation in semi-arid grazing systems
Ecology
Diversity of vegetation patterns and desertification
Phys. Rev. Lett.
Self-organization of vegetation in arid ecosystems
Am. Nat.
Reactive glass and vegetation patterns
Phys. Rev. Lett.
Self-organized vegetation patterning as a fingerprint of climate and human impact on semi-arid ecosystems
J. Ecol.
On the genesis of banks and hollows in peat bogs – an explanation by a thatch line theory
Bull. Dept. Geogr. Univ. Tokyo
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