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.

我们考虑随机增长模型来表示受几何灾难影响的人口动态。我们在发生灾难后分析了不同的分散方案，以研究这些方案如何影响人口生存力，并将其与没有分散的方案进行比较。与分散的方案，我们认为每一个殖民地，灾难事件后，已ð新的位置来放置它的幸存者。我们发现，当\（d = 2 \）时，没有考虑使用任何类型的色散会提高生存机会，充其量它与没有色散的方案匹配。当\（d = 3 \），根据生存概率，我们得出结论，分散可能是一个优势，也可能不是一个优势，这取决于其类型，菌落生长速率以及个体在遭受灾难后存活的可能性。