How Individual Movement Response to Habitat Edges Affects Population Persistence and Spatial Spread

Maciel, Gabriel Andreguetto; Lutscher, Frithjof

doi:10.1086/670661

Cited by 78 publications

(137 citation statements)

References 58 publications

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“…We now study how each of the dispersion relations depend on model parameters. In Figure 5.4, we plot the spreading speed for increasing values of The latter results agree with other authors (Shigesada et al, 1986;Maciel and Lutscher, 2013) as well as with our persistence conditions that show a population will always persist if l 2 is below a threshold value, regardless of the value of ν 2 (plot not shown). The biological explanation of this phenomenon is that an increased value of ν 2 corresponds to a larger probability of individuals to enter bad habitat and therefore decrease the chance of the population to persist.…”

Section: Analysis Of Dispersion Relationsupporting

confidence: 90%

“…The discussion in Maciel and Lutscher (2013) gives several ecological examples that make it clear that there is no single solution for all cases. For example, Thomas (2000) found that high-mobility butterflies had the highest probability of surviving in fragmented landscapes.…”

Section: Chapter 7 Discussionmentioning

confidence: 99%

“…Therefore, by an argument analogous to above, the monotone convergence theorem applies. Ovaskainen and Cornell (2003) and Maciel and Lutscher (2013) studied a random walk model in a patchy landscape, and assumed that at the interface of two patch types individuals exhibit patch-preference movement behavior. In general, this assumption leads to the probability density function of the random walker being discontinuous at an interface.…”

Section: Discussion 143mentioning

confidence: 99%

“…For a detailed discussion on the effect of the different movement assumptions on reaction-diffusion equations, please see Maciel and Lutscher (2013).…”

Section: Dispersal In Patchy Landscapesmentioning

confidence: 99%

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Integrodifference equations in patchy landscapes

Musgrave

Lutscher

2013

J. Math. Biol.

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In this dissertation, we study integrodifference equations in patchy landscapes. Specifically, we provide a framework for linking individual dispersal behavior with populationlevel dynamics in patchy landscapes by integrating recent advances in modeling dispersal into an integrodifference equation.First, we formulate a random-walk model in a patchy landscape with patchdependent diffusion, settling, and mortality rates. We incorporate mechanisms for individual behavior at an interface which, in general, results in the probability-density function of the random walker being discontinuous at an interface. We show that the dispersal kernel can be characterized as the Green's function of a second-order differential operator and illustrate the kind of (discontinuous) dispersal kernels that arise from our approach. We examine the dependence of obtained kernels on model parameters.Secondly, we analyze integrodifference equations in patchy landscapes equipped with discontinuous kernels. We obtain explicit formulae for the critical-domain-size problem, as well as explicit formulae for the analogous critical size of good patches on an infinite, periodic, patchy landscape. We examine the dependence of obtained formulae on individual behavior at an interface. Through numerical simulations, we observe that, if the population can persist on an infinite, periodic, patchy landscape, its spatial profile can evolve into a discontinuous traveling periodic wave. We derive a dispersion relation for the speed of the wave and illustrate how interface behavior ii

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Section: Analysis Of Dispersion Relationsupporting

confidence: 90%

Section: Chapter 7 Discussionmentioning

confidence: 99%

Section: Discussion 143mentioning

confidence: 99%

“…For a detailed discussion on the effect of the different movement assumptions on reaction-diffusion equations, please see Maciel and Lutscher (2013).…”

Section: Dispersal In Patchy Landscapesmentioning

confidence: 99%

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Integrodifference equations in patchy landscapes

Musgrave

Lutscher

2013

J. Math. Biol.

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“…This aspect of movement was not considered by Shigesada et al [23], but only recently addressed by Maciel and Lutscher [16]. Based on previous work by Ovaskainen and Cornell [19], we included individual movement behaviour at an interface between two patch types into reaction-diffusion models in heterogeneous landscapes.…”

Section: Introductionmentioning

confidence: 99%

Allee effects and population spread in patchy landscapes

Maciel

Lutscher

2015

Journal of Biological Dynamics

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Invasion of alien species is one of the major threats for natural community structures, potentially leading to high economic and environmental costs. In this work, we study through a reaction-diffusion model the dynamics of an invasion in a heterogeneous environment and in the presence of a strong Allee effect. We model space as an infinite landscape consisting of periodically alternating favourable and unfavourable patches. In addition, we consider that at the interface between patch types individuals may show preference for more favourable regions. Using homogenization techniques and a classical result for spread with Allee effect in homogeneous landscapes, we derive approximate expressions for the spread speed. When compared with numerical simulations, these expressions prove to be very accurate even beyond the expected small-scale heterogeneity limit of homogenization. We demonstrate how rates of spatial spread depend on demographic and movement parameters as well as on the landscape properties.

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State‐space modeling reveals habitat perception of a small terrestrial mammal in a fragmented landscape

Gardiner

Hamer

Leos‐Barajas

et al. 2019

Ecology and Evolution

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Habitat loss is a major cause of species loss and is expected to increase. Loss of habitat is often associated with fragmentation of remaining habitat. Whether species can persist in fragmented landscapes may depend on their movement behavior, which determines their capability to respond flexibility to changes in habitat structure and spatial distribution of patches. Movement is frequently generalized to describe a total area used, or segmented to highlight resource use, often overlooking finer‐scale individual behaviors. We applied hidden Markov models (HMM) to movement data from 26 eastern bettongs (Bettongia gaimardi) in fragmented landscapes. HMMs are able to identify distinct behavior states associated with different movement patterns and discover how these behaviors are associated with habitat features. Three distinct behavior states were identified and interpreted as denning, foraging, and fast‐traveling. The probability of occurrence of each state, and of transitions between them, was predicted by variation in tree‐canopy cover and understorey vegetation density. Denning was associated with woodland with low canopy cover but high vegetation density, foraging with high canopy cover but low vegetation density, and fast‐traveling with low canopy cover and low vegetation density. Bettongs did move outside woodland patches, often fast‐traveling through pasture and using smaller stands of trees as stepping stones between neighboring patches. Males were more likely to fast‐travel and venture outside woodlands patches, while females concentrated their movement within woodland patches. Synthesis and applications: Our work demonstrates the value of using animal movement to understand how animals respond to variation in habitat structure, including fragmentation. Analysis using HMMs was able to characterize distinct habitat types needed for foraging and denning, and identify landscape features that facilitate movement between patches. Future work should extend the use of individual movement analyses to guide management of fragmented habitat in ways that support persistence of species potentially threatened by habitat loss.

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How Individual Movement Response to Habitat Edges Affects Population Persistence and Spatial Spread

Cited by 78 publications

References 58 publications

Integrodifference equations in patchy landscapes

Integrodifference equations in patchy landscapes

Allee effects and population spread in patchy landscapes

State‐space modeling reveals habitat perception of a small terrestrial mammal in a fragmented landscape

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