Stage‐structured competition and the cyclic dynamics of host–parasitoid populations

Wearing, Helen J.; Sait, Steven M.; Cameron, Tom C.; Rohani, Pejman

doi:10.1111/j.0021-8790.2004.00846.x

Cited by 27 publications

(39 citation statements)

References 55 publications

(79 reference statements)

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“…As Wearing et al (2004) have noted, different mechanisms (e.g., consumer resource dynamics or cohort competition) can give rise to the same periods, and the same mechanisms can give rise to different periods (as we show here). Inferring causation from the periodicity of the time series alone may be problematic.…”

Section: Discussionsupporting

confidence: 72%

“…Periods greater than 4MT are typically put down to consumer-resource interactions (e.g., see Murdoch et al 2002). The stored product pest Plodia is an example of an immediate-effect system, with between-cohort interactions, leading to an SGC (Wearing et al 2004). Nicholson's blowflies are an example of a delayed-effect system (competition affects size at maturity and fecundity).…”

Section: Discussionmentioning

confidence: 99%

“…There has been recent discussion about the causes of population fluctuations and whether from single-species time series one could infer the causation of particular periodicities (Murdoch et al 2002;Wearing et al 2004). As Wearing et al (2004) have noted, different mechanisms (e.g., consumer resource dynamics or cohort competition) can give rise to the same periods, and the same mechanisms can give rise to different periods (as we show here).…”

Section: Discussionmentioning

confidence: 99%

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The Evolution of Oscillatory Behavior in Age‐Structured Species

Greenman

Benton

Boots

et al. 2005

The American Naturalist

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Online enhancement: computer code.abstract: A major challenge in ecology is to explain why so many species show oscillatory population dynamics and why the oscillations commonly occur with particular periods. The background environment, through noise or seasonality, is one possible driver of these oscillations, as are the components of the trophic web with which the species interacts. However, the oscillation may also be intrinsic, generated by density-dependent effects on the life history. Models of structured single-species systems indicate that a much broader range of oscillatory behavior than that seen in nature is theoretically possible. We test the hypothesis that it is selection that acts to constrain the range of periods. We analyze a nonlinear singlespecies matrix model with density dependence affecting reproduction and with trade-offs between reproduction and survival. We show that the evolutionarily stable state is oscillatory and has a period roughly twice the time to maturation, in line with observed patterns of periodicity. The robustness of this result to variations in trade-off function and density dependence is tested.

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Section: Discussionsupporting

confidence: 72%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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The Evolution of Oscillatory Behavior in Age‐Structured Species

Greenman

Benton

Boots

et al. 2005

The American Naturalist

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“…In the last century, models with internal structure have been proposed in order to take into account the spatial/aging dependence of the various components involved in the onset of complex phenomena, see, among others, papers [139][140][141][142][143] and the references cited therein. The microscopic state of each component thus includes another variable, called the structure variable.…”

Section: Models With Internal Structurementioning

confidence: 99%

Towards a unified approach in the modeling of fibrosis: A review with research perspectives

Amar

Bianca

2016

Physics of Life Reviews

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Pathological fibrosis is the result of a failure in the wound healing process. The comprehension and the related modeling of the different mechanisms that trigger fibrosis is a challenge of many researchers that work in the field of medicine and biology. The modern scientific analysis of a phenomenon generally consists of three major approaches: theoretical, experimental, and computational. Different theoretical tools coming from mathematics and physics have been proposed for the modeling of the physiological and pathological fibrosis. However a complete framework is missing and the development of a general theory is required. This review aims at finding a unified approach in the modeling of fibrosis diseases that takes into account the different phenomena occurring at each level: molecular, cellular and tissue. Specifically by means of a critical analysis of the different models that have been proposed in the mathematical, computational and physical biology, from molecular to tissue scales, a multiscale approach is proposed, an approach that has been strongly recommended by top level biologists in the past decades.

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“…More importantly, stable states in the five experiments showing ASS included population fluctuations. Based on this finding, they insisted that "it is not surprising that ASS can also contrast in the type of their intrinsic dynamics" (e.g., Murdoch et al, 2002;De Roos and Persson, 2003;Wearing et al, 2004;McCauley et al, 1999;Henson et al, 2002;Zamamiri et al, 2001), although "ASS are still often perceived as contrasting equilibrium values where a system exhibits fix-point stability in each of its states" (e.g., Beisner et al, 2003).…”

Section: Introductionmentioning

confidence: 99%

Ecological resilience of population cycles: A dynamic perspective of regime shift

Suzuki

Yoshida

2015

Journal of Theoretical Biology

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Studies of catastrophic regime shifts have mostly considered a simple equilibrium situation, in which there are two stable equilibria divided by an unstable equilibrium. However, populations and communities in nature often show more complex dynamics, and regime shifts in the complex dynamic systems have attracted limited attention so far. Understanding the division between alternative stable states in multispecies communities requires an extended perspective and the conventional analysis of a simple equilibrium situation cannot be applied as it is. What divides the alternative stable states can take complex structure rather than a point, and this division of alternative states is usually impossible to be obtained by analytical approaches. In this study, we developed a numerical method that can relatively easily provide the structure of the division of alternative stable states. We then applied the method to different three-species systems exhibiting oscillatory dynamics to understand their recoverability from perturbations that can bring out irreversible state change. Our results suggested that there is temporal variation of the recoverability that may not be understood straightforwardly because of the complex structure of the division of alternative stable states. Also, which of the alternative states is more vulnerable to perturbations and easier to show a regime shift can vary depending on the size of perturbation. These attributes of regime shifts have not been found in a simple equilibrium situation, suggesting the need of a dynamic aspect of the recoverability of ecological systems.

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Stage‐structured competition and the cyclic dynamics of host–parasitoid populations

Cited by 27 publications

References 55 publications

The Evolution of Oscillatory Behavior in Age‐Structured Species

The Evolution of Oscillatory Behavior in Age‐Structured Species

Towards a unified approach in the modeling of fibrosis: A review with research perspectives

Ecological resilience of population cycles: A dynamic perspective of regime shift

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