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A comparison of probabilistic and stochastic formulations in modelling growth uncertainty and variability. (English) Zbl 1342.92156

Summary: We compare two approaches for inclusion of uncertainty/variability in modelling growth in size-structured population models. One entails imposing a probabilistic structure on growth rates in the population while the other involves formulating growth as a stochastic Markov diffusion process. We present a theoretical analysis that allows one to include comparable levels of uncertainty in the two distinct formulations in making comparisons of the two approaches.

MSC:

92D25 Population dynamics (general)
60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
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