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Projecting age-structured populations in a random environment
Journal article   Peer reviewed

Projecting age-structured populations in a random environment

Charles J. Mode and Terry Root
Mathematical biosciences, v 88(2)
1988
DOI: https://doi.org/10.1016/0025-5564(88)90043-0

Abstract

An environmental process was characterized by a stationary first order autoregressive process with Gaussian noise. This process was then linked to survivorship and reproductive success by logistic tranformations to construct a stochastic population process, related to generalized age-dependent branching processes, for projecting age-structured populations in a random environment. Unexpectedly large fluctuations of conditional mean total population size, given different realizations of the environmental process. were observed, particularly when the environmental process had a strictly positive autocorrelation function. These large fluctuations led to summarizing the results of 100 replications of projecting conditional mean total population size, given the environmental process, for 100 epochs in terms of extreme value statistics rather than the more conventional means and variances. Qualitative comparisons with fluctuations in abundance of some species of birds suggested that some choices of parameter values for the environmental process led to plausible models for the evaluation of selected bird populations

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Domestic collaboration
Web of Science research areas
Biology
Mathematical & Computational Biology
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