Dispersal asymmetry in a two-patch system with source–sink populations

Wu, Hong; Wang, Yuanshi; Li, Yufeng; Jiang, Jiang

doi:10.1016/j.tpb.2019.11.004

Cited by 25 publications

(24 citation statements)

References 30 publications

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“…Further studies are needed to investigate the phenomena described (DIPEE, multiple attractors) on a broader spatial scale. Finally, the properties of dispersal could be refined in terms of asymmetric dispersal or dispersal mortality (Amarasekare 1998;Wu et al 2020).…”

Section: Discussionmentioning

confidence: 99%

Multiple Attractors and Long Transients in Spatially Structured Populations with an Allee Effect

et al. 2020

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We present a discrete-time model of a spatially structured population and explore the effects of coupling when the local dynamics contain a strong Allee effect and overcompensation. While an isolated population can exhibit only bistability and essential extinction, a spatially structured population can exhibit numerous coexisting attractors. We identify mechanisms and parameter ranges that can protect the spatially structured population from essential extinction, whereas it is inevitable in the local system. In the case of weak coupling, a state where one subpopulation density lies above and the other one below the Allee threshold can prevent essential extinction. Strong coupling, on the other hand, enables both populations to persist above the Allee threshold when dynamics are (approximately) out of phase. In both cases, attractors have fractal basin boundaries. Outside of these parameter ranges, dispersal was not found to prevent essential extinction. We also demonstrate how spatial structure can lead to long transients of persistence before the population goes extinct.

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Section: Discussionmentioning

confidence: 99%

Multiple Attractors and Long Transients in Spatially Structured Populations with an Allee Effect

et al. 2020

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“…We demonstrated the usefulness of the method by studying an explicit system, which is a meta-foodweb on a spatial network of sources and sinks. Often, the dynamics of source-sink systems are either modelled only with one patch of each type [4,7,39,40] or with explicit population dynamics [4,5,7,[39][40][41][42] or both. The choice of population dynamics equations fixes the values of most exponent parameters, for instance logistic growth in sources implies φ + = 1, µ + = 2.…”

Section: Discussionmentioning

confidence: 99%

“…If ω −+ < 0, condition (37) cannot be satisfied. Further, conditions (38), (39) and (40) can not be satisfied simultaneously, hence we find:…”

Section: A Eigenvalues Of the Jacobianmentioning

confidence: 94%

Master Stability Functions for metacommunities with two types of habitats

Krauß,

Gross,

Drossel

2021

Preprint

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Current questions in ecology revolve around instabilities in the dynamics on spatial networks and particularly the effect of node heterogeneity. We extend the Master Stability Function formalism to inhomogeneous biregular networks having two types of spatial nodes. Notably, this class of systems also allows the investigation of certain types of dynamics on higher-order networks. Combined with the Generalized Modelling approach to study the linear stability of steady states, this is a powerful tool to numerically asses the stability of large ensembles of systems. We analyze the stability of ecological metacommunities with two distinct types of habitats analytically and numerically in order to identify several sets of conditions under which the dynamics can become stabilized by dispersal. Our analytical approach allows general insights into stabilizing and destabilizing effects in metapopulations. Specifically, we show that maladaptive dispersal may be stable under certain conditions.

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“…Two main outcomes have been observed: the total population density in connected habitats can be larger or smaller than the total population density of isolated patches (i.e. the sum of carrying capacities) if the habitats are qualitatively different (Freedman and Waltman, 1977; Holt, 1985; Arditi et al, 2015; Franco and Ruiz-Herrera, 2015; Wu et al, 2020). One factor that determines whether dispersal increases or decreases the population density was found to be the strength of intraspecific competition in the respective habitats as measured by the relationship between the intrinsic growth rate ( r ) and the carrying capacity ( K ) of a given population – called the r-K relationship (Holt, 1985; Hendriks et al, 2005) .…”

Section: Introductionmentioning

confidence: 99%

Dispersal between interconnected patches can reduce the total population size

Vortkamp

Kost

Hermann

et al. 2022

Preprint

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Human activities increasingly result in a fragmentation of natural ecosystems. However, the ecological consequences of fragmentation remain poorly understood. While some studies report that fragmentation may enhance population growth, others suggest the opposite pattern. Here we investigated how habitat connectivity affects the population size of a single species when habitat patches differ in quality. We combined dispersal experiments, in which bacterial populations of Escherichia coli were repeatedly transferred between two qualitatively different environments, with a process-based mathematical model. Both experiments and model consistently revealed that increased dispersal between patches reduced the total population size, thus demonstrating a detrimental effect of habitat connectivity on population size. This observation could be explained with a net loss of individuals upon migration from a productive to an overcrowded patch. Our findings suggest that conservation measures, which promote movement between fragmented habitats, such as dispersal corridors or stepping stones, are potentially detrimental for some species.

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Dispersal asymmetry in a two-patch system with source–sink populations

Cited by 25 publications

References 30 publications

Multiple Attractors and Long Transients in Spatially Structured Populations with an Allee Effect

Multiple Attractors and Long Transients in Spatially Structured Populations with an Allee Effect

Master Stability Functions for metacommunities with two types of habitats

Dispersal between interconnected patches can reduce the total population size

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