Long-range dispersal, stochasticity and the broken accelerating wave of advance
| العنوان: | Long-range dispersal, stochasticity and the broken accelerating wave of advance |
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| المؤلفون: | Timothy J. Sluckin, Guy S. Jacobs |
| المساهمون: | Jacobs, Guy Sherwin [0000-0002-4698-7758], Apollo - University of Cambridge Repository |
| المصدر: | Theoretical population biology. |
| سنة النشر: | 2013 |
| مصطلحات موضوعية: | Stochastic modelling, Populations and Evolution (q-bio.PE), Second moment of area, food and beverages, Power law, Long distance dispersal, Acceleration, Species invasion, Lévy flight, FOS: Biological sciences, Biological dispersal, Statistical physics, Continuum (set theory), Wave of advance, Quantitative Biology - Populations and Evolution, Ecology, Evolution, Behavior and Systematics, Lattice model (physics), Mathematics |
| الوصف: | Rare long distance dispersal events are thought to have a disproportionate impact on the spread of invasive species. Modelling using integrodifference equations suggests that, when long distance contacts are represented by a fat-tailed dispersal kernel, an accelerating wave of advance can ensue. Invasions spreading in this manner could have particularly dramatic effects. Recently, various authors have suggested that demographic stochasticity disrupts wave acceleration. Integrodifference models have been widely used in movement ecology, and as such a clearer understanding of stochastic effects is needed. Here, we present a stochastic non-linear one-dimensional lattice model in which demographic stochasticity and the dispersal regime can be systematically varied. Extensive simulations show that stochasticity has a profound effect on model behaviour, and usually breaks acceleration for fat-tailed kernels. Exceptions are seen for some power law kernels, $K(l) \propto |l|^{-\beta}$ with $\beta < 3$, for which acceleration persists despite stochasticity. Such kernels lack a second moment and are important in `accelerating' phenomena such as L\'{e}vy flights. Furthermore, for long-range kernels the approach to the continuum limit behaviour as stochasticity is reduced is generally slow. Given that real-world populations are finite, stochastic models may give better predictive power when long-range dispersal is important. Insights from mean-field models such as integrodifference equations should be applied with caution in such circumstances. Comment: Preprint version (October 2014) of TPB article accepted for publication December 2014 |
| وصف الملف: | application/octet-stream; application/pdf |
| تدمد: | 1096-0325 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a083c54d90bbe984e33aaeae75a0472Test https://pubmed.ncbi.nlm.nih.gov/25543095Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....5a083c54d90bbe984e33aaeae75a0472 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 10960325 |
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