ArticleProceedings of the National Academy of Sciences of the United States of America2018
Lévy flight movements prevent extinctions and maximize population abundances in fragile Lotka-Volterra systems.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Lévy statistics define anxiety and depression in mice subjected to chronic stress.Frontiers in behavioral neuroscience · 2026Article
- Foraging behaviour and patch size distribution jointly determine population dynamics in fragmented landscapes.Journal of the Royal Society, Interface · 2022Article
- The evolutionary maintenance of Lévy flight foraging.PLoS computational biology · 2022Article
- Functional advantages of Lévy walks emerging near a critical point.Proceedings of the National Academy of Sciences of the United States of America · 2020Article
- Article
- Delay in the dispersal of flocks moving in unbounded space using long-range interactions.Scientific reports · 2018Article
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3 authors.
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Abstract
Multiple-scale mobility is ubiquitous in nature and has become instrumental for understanding and modeling animal foraging behavior. However, the impact of individual movements on the long-term stability of populations remains largely unexplored. We analyze deterministic and stochastic Lotka-Volterra systems, where mobile predators consume scarce resources (prey) confined in patches. In fragile systems (that is, those unfavorable to species coexistence), the predator species has a maximized abundance and is resilient to degraded prey conditions when individual mobility is multiple scaled. Within the Lévy flight model, highly superdiffusive foragers rarely encounter prey patches and go extinct, whereas normally diffusing foragers tend to proliferate within patches, causing extinctions by overexploitation. Lévy flights of intermediate index allow a sustainable balance between patch exploitation and regeneration over wide ranges of demographic rates. Our analytical and simulated results can explain field observations and suggest that scale-free random movements are an important mechanism by which entire populations adapt to scarcity in fragmented ecosystems.
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