The Evolution of Oscillatory Behavior in Age‐Structured Species

Greenman, J. V.; Benton, Tim G.; Boots, Mike; White, Andrew

doi:10.1086/430640

Cited by 16 publications

(11 citation statements)

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is the lower population size, resulting from the selection on the given trait, which makes the species more prone to extinction. Extinction could also occur as a result of cycling dynamics caused by adaptation (Greenman et al 2005); if the cycles cause the population to fall below the equilibrium density, stochastic effects may trigger extinction.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Can adaptation lead to extinction?

Rankin¹,

López‐Sepulcre²

2005

Oikos

110

View full text Add to dashboard Cite

Ever since J.B.S. Haldane proposed the idea, evolutionary biologists are aware that individual level adaptations do not necessarily lead to optimal population performance. A few deeply mathematical models, drawing from a diverse range of systems, even predict that individual selection can lead to the extinction of the whole population, a phenomenon which has become known as evolutionary suicide. Due to the complexity of both following adaptation and determining the exact cause of an extinction, evolutionary suicide has remained untested empirically. However, three recent empirical studies suggest that it may occur, and that suicide should be taken seriously as a potentially important evolutionary phenomenon. Here we ask whether or not evolutionary suicide can occur, briefly reviewing the theoretical and empirical evidence. We further highlight systems which may be used to test whether or not individual level selection can cause extinction.

show abstract

Section: Theoretical Backgroundmentioning

confidence: 99%

Can adaptation lead to extinction?

Rankin¹,

López‐Sepulcre²

2005

Oikos

110

View full text Add to dashboard Cite

show abstract

“…Exceptions, which do consider non-equilibrium behaviour, include recent work by White et al (2006) and Geritz et al (2007) and a body of work focussed on the question of whether evolution leads to equilibrium or nonequilibrium dynamics (Gatto 1993;Ferriere and Gatto 1993;Doebeli and Koella 1995;Ebenman et al 1996;Greenman et al 2005).…”

Section: Introductionmentioning

confidence: 99%

Evolutionary Behaviour, Trade-Offs and Cyclic and Chaotic Population Dynamics

2010

View full text Add to dashboard Cite

Many studies of the evolution of life-history traits assume that the underlying population dynamical attractor is stable point equilibrium. However, evolutionary outcomes can change significantly in different circumstances. We present an analysis based on adaptive dynamics of a discrete-time demographic model involving a trade-off whose shape is also an important determinant of evolutionary behaviour. We derive an explicit expression for the fitness in the cyclic region and consequently present an adaptive dynamic analysis which is algebraic. We do this fully in the region of 2-cycles and (using a symbolic package) almost fully for 4-cycles. Simulations illustrate and verify our results. With equilibrium population dynamics, trade-offs with accelerating costs produce a continuously stable strategy (CSS) whereas trade-offs with decelerating costs produce a non-ES repellor. The transition to 2-cycles produces a discontinuous change: the appearance of an intermediate region in which branching points occur. The size of this region decreases as we move through the region of 2-cycles. There is a further discontinuous fall in the size of the branching region during the transition to 4-cycles. We extend our results numerically and with simulations to higher-period cycles and chaos. Simulations show that chaotic population dynamics can evolve from equilibrium and vice-versa.

show abstract

“…1998). Models have suggested that under some conditions, population cycling is an evolutionarily stable state (Greenman et al. 2005).…”

Section: Introductionmentioning

confidence: 99%

Colour of environmental noise affects the nonlinear dynamics of cycling, stage‐structured populations

et al. 2008

View full text Add to dashboard Cite

Populations fluctuate because of their internal dynamics, which can be nonlinear and stochastic, and in response to environmental variation. Theory predicts how the colour of environmental stochasticity affects population means, variances and correlations with the environment over time. The theory has not been tested for cycling populations, commonly observed in field systems. We applied noise of different colours to cycling laboratory beetle populations, holding other statistical properties of the noise fixed. Theory was largely validated, but failed to predict observations in sufficient detail. The main period of population cycling was shifted up to 33% by the colour of environmental stochasticity. Noise colour affected population means, variances and dominant periodicities differently for populations that cycled in different ways without noise. Our results show that changes in the colour of climatic variability, partly caused by humans, may affect the main periodicity of cycling populations, possibly impacting industry, pest management and conservation.

show abstract

The Evolution of Oscillatory Behavior in Age‐Structured Species

Cited by 16 publications

References 66 publications

Can adaptation lead to extinction?

Can adaptation lead to extinction?

Evolutionary Behaviour, Trade-Offs and Cyclic and Chaotic Population Dynamics

Colour of environmental noise affects the nonlinear dynamics of cycling, stage‐structured populations

Contact Info

Product

Resources

About