Demographic stochasticity and extinction in populations with Allee effect

Méndez, Vicenç; Assaf, Michael; Masó-Puigdellosas, Axel; Campos, Daniel; Horsthemke, Werner

doi:10.1103/physreve.99.022101

Cited by 22 publications

(26 citation statements)

References 47 publications

(91 reference statements)

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“…Although dispersal ability of algae is high 16 , recruitment of new species in local mature systems is exceptional rather than a common phenomenon 17 . Growth and extinction in small populations are subject to the effect of demographic stochasticity 18,19 . However, algal individuals in aquatic systems are present in astronomical numbers, therefore demographic stochasticity plays a negligible role in the community assembly 20 .…”

mentioning

confidence: 99%

Trait convergence and trait divergence in lake phytoplankton reflect community assembly rules

Borics

B‐Béres

Bácsi

et al. 2020

Sci Rep

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Environmental filtering and limiting similarity are those locally acting processes that influence community structure. These mechanisms acting on the traits of species result in trait convergence or divergence within the communities. The role of these processes might change along environmental gradients, and it has been conceptualised in the stress-dominance hypothesis, which predicts that the relative importance of environmental filtering increases and competition decreases with increasing environmental stress. Analysing trait convergence and divergence in lake phytoplankton assemblages, we studied how the concepts of ‘limiting similarity’ versus ‘environmental filtering’ can be applied to these microscopic aquatic communities, and how they support or contradict the stress-dominance hypothesis. Using a null model approach, we investigated the divergence and convergence of phytoplankton traits along environmental gradients represented by canonical axes of an RDA. We used Rao’s quadratic entropy as a measure of functional diversity and calculated effect size (ES) values for each sample. Negative ES values refer to trait convergence, i.e., to the higher probability of the environmental filtering in community assembly, while positive values indicate trait divergence, stressing the importance of limiting similarity (niche partitioning), that is, the competition between the phytoplankters. Our results revealed that limiting similarity and environmental filtering may operate simultaneously in phytoplankton communities, but these assembly mechanisms influenced the distribution of phytoplankton traits differently, and the effects show considerable changes along with the studied scales. Studying the changes of ES values along with the various scales, our results partly supported the stress-dominance hypothesis, which predicts that the relative importance of environmental filtering increases and competition decreases with increasing environmental stress.

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confidence: 99%

Trait convergence and trait divergence in lake phytoplankton reflect community assembly rules

Borics

B‐Béres

Bácsi

et al. 2020

Sci Rep

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“…Demographic stochasticity influences growth and extinction risk of small populations largely (Parvinen et al, 2003;Méndez et al, 2019). Similarly, it might also act on large lake phytoplankton since population size in previous years affects the success of species in the subsequent year.…”

Section: Community Assemblymentioning

confidence: 99%

Freshwater phytoplankton diversity: models, drivers and implications for ecosystem properties

et al. 2020

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Our understanding on phytoplankton diversity has largely been progressing since the publication of Hutchinson on the paradox of the plankton. In this paper, we summarise some major steps in phytoplankton ecology in the context of mechanisms underlying phytoplankton diversity. Here, we provide a framework for phytoplankton community assembly and an overview of measures on taxonomic and functional diversity. We show how ecological theories on species competition together with modelling approaches and laboratory experiments helped understand species coexistence and maintenance of diversity in phytoplankton. The nonequilibrium nature of phytoplankton and the role of disturbances in shaping diversity are also discussed. Furthermore, we discuss the role of water body size, productivity of habitats and temperature on phytoplankton species richness, and how diversity may affect the functioning of lake ecosystems. At last, we give an insight into molecular tools that have emerged in the last decades and argue how it has broadened our perspective on microbial diversity. Besides historical backgrounds, some critical comments have also been made.

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“…When R 0 = 1 WKB approximation does not work. For strong and weak Allee effect cases, MTE is calculated by equations (15) and (16), respectively [20]. Comprehensive researches are available for these equations, where the MTE is calculated in a single step case with the WKB approach [13,18].…”

Section: Stochastic Population Modelmentioning

confidence: 99%

Effect of harvest on MTE calculated by single step process for stochastic population model under Allee effect

Eskin

Gültekin

2019

Turkish Physical Society 35th International Physics Congress (Tps35)

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In this study, first we expand the cubic population model under Allee effect with a quadratic harvest function that represents harvest effect. Then, using four reaction equations representing the micro-interactions within the population under the influence of demographic noise and harvest, we obtain the mean field equations containing the effect of the harvest from the solution of the master equation. In this way, a relationship is established between the micro and macro parameters of the population. As a result, we calculate Mean Time to Extinction (MTE) by using WKB approximation for single step processes and observe the effect of harvesting.

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Demographic stochasticity and extinction in populations with Allee effect

Cited by 22 publications

References 47 publications

Trait convergence and trait divergence in lake phytoplankton reflect community assembly rules

Trait convergence and trait divergence in lake phytoplankton reflect community assembly rules

Freshwater phytoplankton diversity: models, drivers and implications for ecosystem properties

Effect of harvest on MTE calculated by single step process for stochastic population model under Allee effect

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