几何灾变增长模型中分散策略的评价
Evaluating dispersion strategies in growth models subject to geometric catastrophes
摘要：
我们考虑随机增长模型来表示几何灾变下的种群动态。我们分析了灾难发生后不同的分散方案，研究这些方案如何影响种群生存能力，并将它们与没有分散的方案进行比较。在离散方案中，我们考虑每个群体在灾难事件发生后，都有$d$新的位置来安置它的幸存者。我们发现，当$d = 2$没有类型的分散考虑提高生存的机会，在最好的情况下，它匹配的计划，没有分散。当$d = 3$，基于生存概率，我们得出结论，分散可能是一个优势或没有，这取决于它的类型，集落生长的速度和概率，一个人将生存时，暴露于灾难。
英文摘要：
We consider stochastic growth models to represent population dynamics subject to geometric catastrophes. We analyze different dispersion schemes after catastrophes, to study how these schemes impact the population viability and comparing them with the scheme where there is no dispersion. In the schemes with dispersion, we consider that each colony, after the catastrophe event, has $d$ new positions to place its survivors. We find out that when $d = 2$ no type of dispersion considered improves the chance of survival, at best it matches the scheme where there is no dispersion. When $d = 3$, based on the survival probability, we conclude that dispersion may be an advantage or not, depending on its type, the rate of colony growth and the probability that an individual will survive when exposed to a catastrophe.
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