Unexpected coherence and conservation

Cazelles, Bernard; Bottani, Samuele; Stone, Lewi

doi:10.1098/rspb.2001.1843

Cited by 30 publications

(25 citation statements)

References 44 publications

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“…This means that under condition (8) the two patches will either tend toward a periodic asynchronous solution or to a quasi-periodic or intermittently chaotic attractor [Cazelles et al, 2001;Harrison et al, 2001;Jansen, 2001]. This result disproves a common belief, namely that dispersal synchronizes the oscillations of Rosenzweig-MacArthur preypredator communities [Jansen, 1999].…”

Section: Synchronization Of Coupled Patches Through Blinking Dispersalsupporting

confidence: 44%

Synchrony in Slow–fast Metacommunities

Rinaldi

2009

Int. J. Bifurcation Chaos

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The synchronization of metacommunities due to dispersal among patches is analyzed in the case of slow-fast populations. The analysis is performed by studying a standard model with the fast population dispersing when special meteorological conditions are present. This assumption fits very well with the peculiar nature of slow-fast systems and implies that metacommunities synchronize if the slow population accelerates during the outbreak of the fast population. This result has great potentials for the study of marine and fresh-water plankton communities as well as for the study of synchronization of insect-pest outbreaks in forests.

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Section: Synchronization Of Coupled Patches Through Blinking Dispersalsupporting

confidence: 44%

Synchrony in Slow–fast Metacommunities

Rinaldi

2009

Int. J. Bifurcation Chaos

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“…2c-e). Strong coupling, as we used in our experiments, of chaotic driver-response systems are predicted to result in in-phase synchronization but unequal coupling between patches or populations might reduce the likelihood of in-phase synchronization compared with systems with equal coupling and migration between the patches 44,47 resulting in periods of on-off intermittency 47,48 . In our experiment, we saw periods of coherencies and without coherencies supporting this theoretical finding.…”

Section: Discussionmentioning

confidence: 99%

Different types of synchrony in chaotic and cyclic communities

Becks

Arndt

2013

Nat Commun

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Stability and persistence of populations is of great interest for management and conservation purposes. Spatial dynamics can have a crucial role in population stability via synchronization, and beneficial and detrimental effects on population persistence have been shown. Despite a theoretical understanding of synchronization, empirical data on synchrony of populations are restricted to systems that do not display the full spectrum of complex dynamics that may occur in nature (that is, chaos or quasiperiodicity). Here we show in experiments that the qualitative form of dynamic behaviour of chaotic and periodic oscillating communities did not change when unidirectionally coupled to oscillating driver communities. Driver and response populations were phase locked in cyclic communities, whereas chaotic communities showed only short periods of statistical coherencies. Our study provides the first empirical analysis of synchronization of chaotic communities and shows that the likelihood for chaos is not lowered in spatially explicit systems but that cyclic and chaotic systems differ in synchronization.

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“…Thus, synchronous cycles may well occur in this treatment. When metapopulations cycle in phase, extinction risk can increase because all local populations experience bad years at the same time (16)(17)(18)(19). Stochastic simulations, where demographic parameters were obtained from the isolated populations and where migration varied, predicted for some parameter values an increase in extinction risk when migration becomes extremely high (see the solid thin curve in Fig.…”

Section: Discussionmentioning

confidence: 99%

“…For example, intense local competition may induce local population cycling, which may enhance local extinction. Moreover, if the network of local populations becomes highly synchronized because of high migration rates, global extinction risk may increase (16)(17)(18)(19). Incorporating realistic estimates of both patch structure and local dynamics should therefore enhance our ability to predict metapopulation dynamics.…”

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confidence: 99%

Extinction dynamics in experimental metapopulations

Molofsky

Ferdy

2005

Proc. Natl. Acad. Sci. U.S.A.

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Metapopulation theory provides a framework for understanding population persistence in fragmented landscapes and as such has been widely used in conservation biology to inform management of fragmented populations. However, classical metapopulation theory [Levins, R. (1970) Lect. Notes Math. 2, 75-107] ignores metapopulation structure and local population dynamics, both of which may affect extinction dynamics. Here, we investigate metapopulation dynamics in populations that are subject to different migration rates by using experimental metapopulations of the annual plant Cardamine pensylvanica. As predicted by classical metapopulation theory, connected populations persisted longer than did isolated populations, but the relationship between migration and persistence time was nonlinear. Extinction risk sharply increased as the distance between local populations increased above a threshold value that was consistent with stochastic sim- Science 290, 1360 -1364], a metric that predicts synchronous cycles, indicated that continuous populations should cycle in phase, resulting in an increased extinction risk. Determining empirically the optimal migration level to improve survival chances will be challenging for any natural population. Migration rates that would not increase migration above the threshold value would be ineffectual, but migration rates that would homogenize local densities could increase the risk of coherent oscillations and enhance extinction risk.experimental populations ͉ metapopulation capacity ͉ population coherence ͉ migration ͉ population persistence H abitat fragmentation is implicated in the decline of many endangered wild species (1-4). To offset the problems associated with habitat fragmentation, conservation biologists have called for the construction of corridors to facilitate migration between fragmented habitats (5), but the construction of corridors and their attendant increase in migration rates is not without risks (6). Predicting how migration affects population persistence is important for species conservation. Metapopulation theory provides a framework for understanding population persistence in fragmented landscapes and as such has been used in conservation biology to inform management of fragmented populations. Originally conceived by Levins, metapopulation dynamics are determined by the balance between local colonization and extinction events (7). When colonization events exceed extinctions, metapopulations are predicted to persist, because migration allows an extinct local population to become recolonized (7-9). Absent from this theory is any consideration of how differences in patch suitability (area, distance to other local patches) and local dynamics (such as reproductive rate and intraspecific competition) influence metapopulation persistence. However, recent theoretical work has included more realistic aspects of metapopulations. Hanski and Ovaskainen (10) examine how differences in patch area and in metapopulation structure affect predicted metapopulation persistence ( refs....

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Unexpected coherence and conservation

Cited by 30 publications

References 44 publications

Synchrony in Slow–fast Metacommunities

Synchrony in Slow–fast Metacommunities

Different types of synchrony in chaotic and cyclic communities

Extinction dynamics in experimental metapopulations

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