Allee effects and population spread in patchy landscapes

Maciel, Gabriel Andreguetto; Lutscher, Frithjof

doi:10.1080/17513758.2015.1027309

Cited by 46 publications

(42 citation statements)

References 32 publications

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“…Theoretical studies have showed that a high enough clustering level could actually pin the invasion front if the invader suffers from Allee effects, even if the difference between the rich and the poor patches is small (Dowdall et al 2017). Besides, invasions can also be pinned for lower clustering levels for greater heterogeneity between the patches (Maciel and Lutscher 2015), suggesting that invasion pinning depends on the interaction between the two parameters. Other theoretical studies suggest that the effect we demonstrated on one-dimensional theoretical and laboratory landscapes should persist in higher dimensional spaces (With andKing 1999, Roques andChekroun 2010).…”

Section: Discussionmentioning

confidence: 99%

Clustered or scattered? The impact of habitat quality clustering on establishment and early spread

Morel‐Journel¹,

Hautier²,

Vercken³

et al. 2018

Ecography

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The match between the environmental conditions of an introduction area and the preferences of an introduced species is the first prerequisite for establishment. Yet, introduction areas are usually landscapes, i.e. heterogeneous sets of habitats that are more or less favourable to the introduced species. Because individuals are able to disperse after their introduction, the quality of the habitat surrounding the introduction site is as critical to the persistence of introduced populations as the quality of the introduction site itself. Moreover, demographic mechanisms such as Allee effects or dispersal mortality can hamper dispersal and affect spread across the landscape, in interaction with the spatial distribution of favourable habitat patches. In this study, we investigate the impact of the spatial distribution of heterogeneous quality habitats on establishment and early spread. First, we simulated introductions in one‐dimensional landscapes for different dispersal rates and either dispersal mortality or Allee effects. The landscapes differed by the distribution of favourable and less favourable habitats, which were either clustered into few large aggregates of the same quality or scattered into multiple smaller ones. Second, we tested the predictions of simulations by performing experimental introductions of hymenopteran parasitoids (Trichogramma chilonis) in ‘clustered’ and ‘scattered’ microcosm landscapes. Results highlighted two impacts of the clustering of favourable habitat: by decreasing the risks of dispersal from the introduction site to unfavourable habitat early during the invasion, it increased establishment success. However, by increasing the distance between favourable habitat patches, it also hindered the subsequent spread of introduced species over larger areas.

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Section: Discussionmentioning

confidence: 99%

Clustered or scattered? The impact of habitat quality clustering on establishment and early spread

Morel‐Journel¹,

Hautier²,

Vercken³

et al. 2018

Ecography

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“…A possible next step would be to explore other individual fitness metrics such as reproductive output (e.g., the number of eggs carried by females), or to experimentally assess inbreeding depression. Beyond these fitness considerations, limitations in population growth rates can be linked to Allee effects (Maciel & Lutscher, 2015;Taylor & Hastings, 2005), but in our study case, this hypothesis is unlikely because crayfish abundances have been high in many ponds in the recent past (Table S5).…”

Section: Ecological and Evolutionary Consequences Of Genetic Drift mentioning

confidence: 94%

Genetic drift during the spread phase of a biological invasion

et al. 2019

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Recent theoretical and experimental models have revealed the role played by evolution during species spread, and in particular have questioned the influence of genetic drift at range edges. By investigating the spread of an aquatic invader in patchy habitats, we quantified genetic drift and explored its consequences for genetic diversity and fitness. We examined the interplay of gene flow and genetic drift in 36 populations of the red swamp crayfish, Procambarus clarkii, in a relatively recently invaded wetland area (30 years, Brière, northwest France). Despite the small spatial scale of our study (15 km2), populations were highly structured according to the strong barrier of land surfaces and revealed a clear pattern of colonization through watercourses. Isolated populations exhibited small effective sizes and low dispersal rates that depended on water connectivity, suggesting that genetic drift dominated in the evolution of allele frequencies in these populations. We also observed a significant decrease in the genetic diversity of isolated populations over only a 2‐year period, but failed to demonstrate an associated fitness cost using fluctuating asymmetry. This study documents the possible strong influence of genetic drift during the spread of a species, and such findings provide critical insights into the current context of profound rearrangements in species distributions due to global change.

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“…If one uses a reaction-diffusion model to describe the spatiotemporal evolution of a single species that is subject to the strong Allee effect, a typical reaction function is the so-called bistable nonlinearity. Indeed, the role of Allee effect in population spreading and invasion in reaction-diffusion or integro-differential models has been explored in many research works; see [19,27,28,31,36,44,45,47,48,49,51] to mention a few. Now, let us assume that the species lives in an entire line habitat R =: (−∞, ∞) and distributes only within a bounded interval initially.…”

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confidence: 99%

The role of protection zone on species spreading governed by a reaction–diffusion model with strong Allee effect

Peng

Sun

2019

Journal of Differential Equations

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It is known that a species dies out in the long run for small initial data if its evolution obeys a reaction of bistable nonlinearity. Such a phenomenon, which is termed as the strong Allee effect, is well supported by numerous evidence from ecosystems, mainly due to the environmental pollution as well as unregulated harvesting and hunting. To save an endangered species, in this paper we introduce a protection zone that is governed by a Fisher-KPP nonlinearity, and examine the dynamics of a reaction-diffusion model with strong Allee effect and protection zone. We show the existence of two critical values 0 < L * ≤ L * , and prove that a vanishing-transition-spreading trichotomy result holds when the length of protection zone is smaller than L * ; a transition-spreading dichotomy result holds when the length of protection zone is between L * and L * ; only spreading happens when the length of protection zone is larger than L * . This suggests that the protection zone works when its length is larger than the critical value L * . Furthermore, we compare two types of protection zone with the same length: a connected one and a separate one, and our results reveal that the former is better for species spreading than the latter.2010 Mathematics Subject Classification. 35K15, 35K55, 35B40, 92D15.

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Allee effects and population spread in patchy landscapes

Cited by 46 publications

References 32 publications

Clustered or scattered? The impact of habitat quality clustering on establishment and early spread

Clustered or scattered? The impact of habitat quality clustering on establishment and early spread

Genetic drift during the spread phase of a biological invasion

The role of protection zone on species spreading governed by a reaction–diffusion model with strong Allee effect

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