Thresholds and breakpoints in ecosystems with a multiplicity of stable states

@article{May1977ThresholdsAB,
  title={Thresholds and breakpoints in ecosystems with a multiplicity of stable states},
  author={R. May},
  journal={Nature},
  year={1977},
  volume={269},
  pages={471-477}
}
  • R. May
  • Published 1977
  • Biology
  • Nature
Theory and observation indicate that natural multi-species assemblies of plants and animals are likely to possess several different equilibrium points. This review discusses how alternate stable states can arise in simple 1- and 2-species systems, and applies these ideas to grazing systems, to insect pests, and to some human host–parasite systems. 
The Response of Multispecies Systems to Perturbations
This paper considers evidence from ecological theory and observation relevant to the response of multispecies marine communities to exploitation. The problems of reversibility, multiple stableExpand
Multiplicity of stable states in freshwater systems
It is shown with the use of minimal models that several ecological relationships in freshwater systems potentially give rise to the existence of alternative equilibria over a certain range ofExpand
Multiplicity of stable states in freshwater systems
It is shown with the use of minimal models that several ecological relationships in freshwater systems potentially give rise to the existence of alternative equilibria over a certain range ofExpand
Multiple Regulation States in Populations of Small Mammals: A State-Transition Model
Population densities can be regulated by predation, emigration, resource depletion, and behavioral or physiological collapse. Each of these mechanisms dominates the regulation process over a definiteExpand
Is ecological succession predictable? : Theory and applications
A literature study is presented on the predictability of ecological succession. Both equilibrium and nonequilibrium theories are discussed in relation to competition between, and co-existence ofExpand
Alternative Stable States in Size-Structured Communities: Patterns, Processes, and Mechanisms
Alternative stable states have been, based on theoretical findings, predicted to be common in ecological systems. Empirical data from a number of laboratory and natural studies strongly suggest thaExpand
Population response to environmental change : A model with an alternate stable state
Abstract: In ecology, the theory of alternative stable states predicts that ecosystems can exist under multiple “states”. Ecosystems may transition from one stable state to another, in what is knownExpand
The complexity and stability of ecosystems
Early studies suggested that simple ecosystems were less stable than complex ones, but later studies came to the opposite conclusion. Confusion arose because of the many different meanings ofExpand
Ecological thresholds: a survey
Abstract The existence of ecological discontinuities and thresholds has been recognised by ecological economics as a key feature to take into account in the study of environment–economy interactions.Expand
Recovery in complex ecosystems
Current ecosystem theory has a deceptively simple representation of recovery. In actual practice,recovery is affected by the frequency and extent of disturbances and by the spatial heterogeneity ofExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 43 REFERENCES
Stability in ecosystems: some comments
The variety of meanings that can be attached to’ stability’ in ecological contexts has been discussed by Lewontin (1969), Holling (1973), May (1973) and others. Orians (1975) has opened this sectionExpand
Multiple Stable Points in Natural Communities
TLDR
Evidence is presented which indicates the importance of historical events in determining the structure of a variety of natural communities, and multiple stable points are an undeniable reality in space and time in these systems. Expand
Ecosystem stability: a result from an abstract simulation.
Abstract An abstract model of an ecosystem is presented which incorporates both population dynamic and energy flow concepts and attempts to avoid the simple assumptions of the Lotka-Volterra orExpand
Stability and Complexity in Model Ecosystems
  • R. May, N. MacDonald
  • Environmental Science, Biology
  • IEEE Transactions on Systems, Man, and Cybernetics
  • 1978
Preface vii Preface to the Second Edition Biology Edition 1. Intoduction 3 2. Mathematical Models and Stability 13 3. Stability versus Complexity in Multispecies Models 4. Models with Few Species:Expand
A synoptic population model.
TLDR
An extension of such an approach to include habitat stability has been developed by Southwood (1975), which views a population's dynamics as a landscape along the axes of population growth, population density and habitat stability. Expand
The design and stability of plant communities
A striking, and unwelcome, feature of ecology has been the lack of a bridge of logical development and common understanding between population ecology and community ecology. As a synecologist I haveExpand
Resilience and Stability of Ecological Systems
TLDR
The traditional view of natural systems, therefore, might well be less a meaningful reality than a perceptual convenience. Expand
Diversity, stability and maturity in natural ecosystems
Diversity, stability and maturity, like niche and competitive exclusion, have been at the centre of much discussion. By covering a wide spectrum of meanings these terms have been useful inExpand
Bifurcations and Dynamic Complexity in Simple Ecological Models
TLDR
It is shown that as a hump steepens, the dynamics goes from a stable point, to a bifurcating hierarchy of stable cycles of period 2n, into a region of chaotic behavior where the population exhibits an apparently random sequence of "outbreaks" followed by "crashes". Expand
Predation and Population Stability
TLDR
The chapter discusses the relationship between learning and functional response, and indicates the importance of two features, developmental response and numerical response, of the interaction. Expand
...
1
2
3
4
5
...