The roles of the Moran effect and dispersal in synchronizing oscillating populations

Goldwyn, Eli E.; Hastings, Alan

doi:10.1016/j.jtbi.2011.08.033

Cited by 46 publications

(36 citation statements)

References 51 publications

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“…We begin by neglecting the effects of demographic noise (section 2). As previously shown by Goldwyn and Hastings [11,13], there exist parameter regimes where dispersal alone supports both synchronous and asynchronous phase-locked states. Here we show how the existence of an asynchronous state effects the approach to synchrony when common external fluctuations are included.…”

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confidence: 56%

“…In this paper, we extend our previous work to the coupled RM model of Goldwyn and Hastings [13]. We show how the theory of stochastic differential equations and noise-induced phase synchronisation can be used to develop an analytical framework for understanding the combined effects of dispersal and noise, at least in the case of two patches.…”

mentioning

confidence: 64%

“…Within the context of ecology, Goldwyn and Hastings have used the theory of weakly coupled phase oscillators to investigate various modes of synchronous and asynchronous phase-locking in predator-prey systems weakly coupled by dispersal [11,12]. They have also examined the joint effects of dispersal and environmental fluctuations, by simulating ensembles of predator-prey oscillators with diffusive or global coupling and spatially correlated Poisson inputs [13]; each predator-prey patch is described by the Rosenzweig and MacArthur (RM) model [35,17] Recently, a complementary approach to analyzing the effects of external fluctuations on the synchronization of predator-prey populations has been developed by Lai et. al.…”

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confidence: 99%

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Dispersal and noise: Various modes of synchrony in ecological oscillators

Bressloff

Lai

2012

J. Math. Biol.

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We use the theory of noise-induced phase synchronization to analyze the effects of dispersal on the synchronization of a pair of predator-prey systems within a fluctuating environment (Moran effect). Assuming that each isolated local population acts as a limit cycle oscillator in the deterministic limit, we use phase reduction and averaging methods to derive a Fokker-Planck equation describing the evolution of the probability density for pairwise phase differences between the oscillators. In the case of common environmental noise, the oscillators ultimately synchronize. However the approach to synchrony depends on whether or not dispersal in the absence of noise supports any stable asynchronous states. We also show how the combination of correlated (shared) and uncorrelated (unshared) noise with dispersal can lead to a multistable steady-state probability density.

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confidence: 56%

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confidence: 64%

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confidence: 99%

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Dispersal and noise: Various modes of synchrony in ecological oscillators

Bressloff

Lai

2012

J. Math. Biol.

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“…Synchronization of population fluctuations can therefore be driven by the regional environmental stochasticity, by the interaction between local populations through dispersal, or by a mixture of both [54]. However, the relative importance of these two factors often remains obscure apart from special cases where dispersal can be ruled out completely.…”

Section: The Potato Council Levy Payer Networkmentioning

confidence: 99%

Multiscale approach to pest insect monitoring: Random walks, pattern formation, synchronization, and networks

Petrovskii

Petrovskaya

Bearup

2014

Physics of Life Reviews

104

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Pest insects pose a significant threat to food production worldwide resulting in annual losses worth hundreds of billions of dollars. Pest control attempts to prevent pest outbreaks that could otherwise destroy a sward. It is good practice in integrated pest management to recommend control actions (usually pesticides application) only when the pest density exceeds a certain threshold. Accurate estimation of pest population density in ecosystems, especially in agro-ecosystems, is therefore very important, and this is the overall goal of the pest insect monitoring. However, this is a complex and challenging task; providing accurate information about pest abundance is hardly possible without taking into account the complexity of ecosystems' dynamics, in particular, the existence of multiple scales. In the case of pest insects, monitoring has three different spatial scales, each of them having their own scale-specific goal and their own approaches to data collection and interpretation. In this paper, we review recent progress in mathematical models and methods applied at each of these scales and show how it helps to improve the accuracy and robustness of pest population density estimation.

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“…Research on the long-term dynamics of spatially structured populations has revealed that population densities of a given species tend to fluctuate in synchrony over vast geographical areas [13]. In metapopulation dynamics, a patch is generally modeled as a system of differential equations which exhibits an oscillating solution [14]. Therefore it is quite natural to * Electronic address: diba.ghosh@gmail.com suggest that spatially structured biological populations can be viewed as a network of coupled oscillators.…”

Section: Introductionmentioning

confidence: 99%

Survivability of a metapopulation under local extinctions

et al. 2017

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A metapopulation structure in landscape ecology comprises a group of interacting spatially separated subpopulations or patches of the same species that may experience several local extinctions. This makes the investigation of survivability (in the form of global oscillation) of a metapopulation on top of diverse dispersal topologies extremely crucial. However, among various dispersal topologies in ecological networks, which one can provide higher metapopulation survivability under local extinction is still not well explored. In this article, we scrutinize the robustness of an ecological network consisting of prey-predator patches having Holling type I functional response, against progressively extinct population patches. We present a comprehensive study on this while considering global, small-world and scale-free dispersal of the subpopulations. Furthermore, we extend our work in enhancing survivability in the form of sustained global oscillation by introducing asymmetries in the dispersal rates of the considered species. Our findings affirm that the asynchrony among the patches plays an important role in the survivability of a metapopulation. In order to demonstrate the model independence of the observed phenomenon, we perform a similar analysis for patches exhibiting Holling type II functional response. On the grounds of the obtained results, our work is expected to provide a better perception of the influence of dispersal arrangements on the global survivability of ecological networks.

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The roles of the Moran effect and dispersal in synchronizing oscillating populations

Cited by 46 publications

References 51 publications

Dispersal and noise: Various modes of synchrony in ecological oscillators

Dispersal and noise: Various modes of synchrony in ecological oscillators

Multiscale approach to pest insect monitoring: Random walks, pattern formation, synchronization, and networks

Survivability of a metapopulation under local extinctions

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