Predicting population extinction in lattice-based birth–death–movement models
Stuart T Johnston, Matthew J Simpson, Edmund J Crampin
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences | The Royal Society Publishing | Published : 2020
The question of whether a population will persist or go extinct is of key interest throughout ecology and biology. Various mathematical techniques allow us to generate knowledge regarding individual behaviour, which can be analysed to obtain predictions about the ultimate survival or extinction of the population. A common model employed to describe population dynamics is the lattice-based random walk model with crowding (exclusion). This model can incorporate behaviour such as birth, death and movement, while including natural phenomena such as finite size effects. Performing sufficiently many realizations of the random walk model to extract representative population behaviour is computation..View full abstract
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Awarded by Australian Research Council
This work was in part supported by the Australian Research Council Centre of Excellence in Convergent Bio-Nano Science and Technology (project no. CE140100036) and the Australian Research Council (grant nos. DP170100474, DE200100988).