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M. Loreau, N. Mouquet, Andrew Gonzalez (2003)
Biodiversity as spatial insurance in heterogeneous landscapesProceedings of the National Academy of Sciences of the United States of America, 100
J. Steele (1998)
REGIME SHIFTS IN MARINE ECOSYSTEMSEcological Applications, 8
M. Nyström, C. Folke (2001)
Spatial Resilience of Coral ReefsEcosystems, 4
N. Knowlton (1992)
Thresholds and Multiple Stable States in Coral Reef Community DynamicsIntegrative and Comparative Biology, 32
B. Morgan, A. Ōkubo (1980)
Di?usion and ecological problems: mathematical models
M. Meijer (2000)
Biomanipulation in the Netherlands: 15 years of experience.
W. Schlesinger, J. Reynolds, G. Cunningham, L. Huenneke, W. Jarrell, R. Virginia, W. Whitford (1990)
Biological Feedbacks in Global DesertificationScience, 247
P. Petraitis, R. Latham (1999)
The importance of scale in testing the origins of alternative community statesEcology, 80
J. Steele, E. Henderson (1984)
Modeling long-term fluctuations in fish stocks.Science, 224 4652
S. Carpenter, D. Ludwig, W. Brock (1999)
Management of eutrophication for lakes subject to potentially irreversible changeEcological Applications, 9
K. Cottenie, N. Nuytten, E. Michels, L. Meester (2004)
Zooplankton community structure and environmental conditions in a set of interconnected pondsHydrobiologia, 442
M. Scheffer, R. Boer (1995)
Implications of spatial heterogeneity for the paradox of enrichmentEcology, 76
L. McCook (1999)
Macroalgae, nutrients and phase shifts on coral reefs: scientific issues and management consequences for the Great Barrier ReefCoral Reefs, 18
E. Jeppesen (1998)
The Structuring Role of Submerged Macrophytes in Lakes
V. Koppel, Max Rietkerk, F. Weissing (1997)
Catastrophic vegetation shifts and soil degradation in terrestrial grazing systems.Trends in ecology & evolution, 12 9
T. Hughes (1994)
Catastrophes, Phase Shifts, and Large-Scale Degradation of a Caribbean Coral ReefScience, 265
K. Anderson, C. Neuhauser (2002)
Patterns in spatial simulations—are they real?Ecological Modelling, 155
M. Scheffer, S. Carpenter, J. Foley, C. Folke, B. Walker (2001)
Catastrophic shifts in ecosystemsNature, 413
C. Holling (1973)
Resilience and Stability of Ecological SystemsAnnual Review of Ecology, Evolution, and Systematics, 4
D. Tilman, Clarence Lehman (2001)
Human-caused environmental change: Impacts on plant diversity and evolutionProceedings of the National Academy of Sciences of the United States of America, 98
E. Mccauley, W. Wilson, A. Roos (1993)
Dynamics of Age-Structured and Spatially Structured Predator-Prey Interactions: Individual-Based Models and Population-Level FormulationsThe American Naturalist, 142
D. Ludwig, D. Jones, C. Holling (1978)
Qualitative Analysis of Insect Outbreak Systems: The Spruce Budworm and ForestJournal of Animal Ecology, 47
V. Volterra (1926)
Fluctuations in the Abundance of a Species considered MathematicallyNature, 119
R. HilleRisLambers, M. Rietkerk, F. Bosch, H. Prins, H. Kroon (2001)
VEGETATION PATTERN FORMATION IN SEMI-ARID GRAZING SYSTEMSEcology, 82
M. Nyström, C. Folke, F. Moberg (2000)
Coral reef disturbance and resilience in a human-dominated environment.Trends in ecology & evolution, 15 10
Garry Peterson (2000)
Scaling Ecological Dynamics: Self-Organization, Hierarchical Structure, and Ecological ResilienceClimatic Change, 44
E. Nes, M. Scheffer, M. Berg, H. Coops (2002)
Aquatic macrophytes: restore, eradicate or is there a compromise?Aquatic Botany, 72
I. Noy‐Meir (1975)
Stability of Grazing Systems: An Application of Predator-Prey GraphsJournal of Ecology, 63
P. Cappellen, E. Ingall (1994)
Benthic phosphorus regeneration, net primary production, and ocean anoxia: A model of the coupled marine biogeochemical cycles of carbon and phosphorusPaleoceanography, 9
S. Levin (2000)
Multiple Scales and the Maintenance of BiodiversityEcosystems, 3
T. Keitt, M. Lewis, R. Holt (2001)
Allee Effects, Invasion Pinning, and Species’ BordersThe American Naturalist, 157
S. Levin (1976)
Population Dynamic Models in Heterogeneous EnvironmentsAnnual Review of Ecology, Evolution, and Systematics, 7
Jakob Lundberg, F. Moberg (2003)
Mobile Link Organisms and Ecosystem Functioning: Implications for Ecosystem Resilience and ManagementEcosystems, 6
M. Rietkerk, M. Boerlijst, F. Langevelde, R. HilleRisLambers, Johan Koppel, L. Kumar, H. Prins, A. Roos (2002)
Self‐Organization of Vegetation in Arid EcosystemsThe American Naturalist, 160
S. Levin (1974)
Dispersion and Population InteractionsThe American Naturalist, 108
T. Algeo, S. Scheckler (1998)
Terrestrial-marine teleconnections in the Devonian: links between the evolution of land plants, weathering processes, and marine anoxic eventsPhilosophical Transactions of the Royal Society B, 353
M. Scheffer, S. Carpenter (2003)
Catastrophic regime shifts in ecosystems: linking theory to observationTrends in Ecology and Evolution, 18
M. Scheffer (1997)
Ecology of Shallow Lakes
H. Dublin, A. Sinclair, J. Mcglade (1990)
Elephants and Fire as Causes of Multiple Stable States in the Serengeti-Mara WoodlandsJournal of Animal Ecology, 59
D. Tilman (1977)
Resource Competition between Plankton Algae: An Experimental and Theoretical ApproachEcology, 58
S. Hare, N. Mantua (2000)
Empirical evidence for North Pacific regime shifts in 1977 and 1989Progress in Oceanography, 47
A. Khibnik, Y. Kuznetsov, V. Levitin, E. Nikolaev (1993)
Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps: physicsPhysica D: Nonlinear Phenomena, 62
S. Carpenter, M. Press, N. Huntly, S. Levin (2001)
Alternate states of ecosystems: evidence and some implications.
J. Connell, W. Sousa (1983)
On the Evidence Needed to Judge Ecological Stability or PersistenceThe American Naturalist, 121
R. May (1977)
Thresholds and breakpoints in ecosystems with a multiplicity of stable statesNature, 269
S. Levin (1992)
The problem of pattern and scale in ecologyEcology, 73
Garry Peterson (2002)
Contagious Disturbance, Ecological Memory, and the Emergence of Landscape PatternEcosystems, 5
M. Berg, H. Coops, M. Meijer, M. Scheffer, J. Simons (1998)
Clear water associated with a dense Chara vegetation in the shallow and turbid Lake Veluwemeer, the Netherlands.Ecological studies, 131
M. Scheffer, W. Brock, Frances Westley (2000)
Socioeconomic Mechanisms Preventing Optimum Use of Ecosystem Services: An Interdisciplinary Theoretical AnalysisEcosystems, 3
D. Bellwood, T. Hughes, T. Hughes, C. Folke, C. Folke, M. Nyström (2004)
Confronting the coral reef crisisNature, 429
M. Rietkerk, S. Dekker, P. Ruiter, J. Koppel (2004)
Self-Organized Patchiness and Catastrophic Shifts in EcosystemsScience, 305
Although alternative stable states are commonly found in simple models, it seems reasonable to assume that the response of real ecosystems to environmental change should often be smoothed by spatial heterogeneity and other stabilizing mechanisms. Here, we systematically explore the effect of spatial heterogeneity on regime shifts for three different models, which we run on a one-dimensional lattice with different spatial distributions of an environmental factor (e.g., soil fertility, water level). If dispersion between patches is negligible, the response to gradual change in some overall stressor (e.g., precipitation, nutrient load) is straightforward. Because of the environmental heterogeneity, each patch shifts to the other stable state at different values of the overall control variable. Therefore, the response of the ecosystem as a whole is gradual (i.e., the average of many asynchronous small shifts) instead of catastrophic. However, in response to a reverse change in the global stressor, the system always shows hysteresis, as each individual patch shifts back to the original state at a different value of the control parameter than the critical threshold for the forward shift. If dispersion between patches occurs, the response to change in the overall control parameter becomes dependent on the spatial pattern of environmental heterogeneity. If the environmental parameter is randomly distributed in space, the overall response tends to remain surprisingly catastrophic, and hysteresis is hardly reduced as compared to the homogeneous case. By contrast, in a smooth environmental gradient, the response of the overall system is gradual, and hysteresis is much smaller. In fact, hysteresis is largely reduced to the initial phases, in which none of the patches have shifted to the alternative state yet. As soon as the first patch shifts, a domino effect occurs, pushing over the neighboring patches. In conclusion, our results suggest that spatial heterogeneity may weaken the tendency for large-scale catastrophic regime shifts if dispersion is unimportant or if local environmental characteristics vary along a smooth gradient.
Ecology – Ecological Society of America
Published: Jul 1, 2005
Keywords: hysteresis ; lattice model ; mobile link organisms ; multiple attractors ; regime shifts ; spatial heterogeneity
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