Abstract
Leslie matrix models appear a useful tool for studying population dynamics for insects with overlapping generations. Our studies have focused on aphids. Analysis using deterministic Leslie matrices has demonstrated the importance of relative length of the reproductive period and also the starting age distribution. Using the length of reproductive period from field pea aphid data, we conclude that aphid populations have the potential to achieve a stable age distribution in a typical temperate growing season. We suggest use of stochastic Leslie matrices for more realistic modelling. We point out that simulation studies using these stochastic models require careful interpretation. Using the beta and gamma distributions to describe survival and natality, respectively, we demonstrate the performance of a simulated aphid population. The realized growth rate is lower than would be suggested from the deterministic model.
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© 1989 Springer-Verlag Berlin Heidelberg
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Nordheim, E.V., Hogg, D.B., Chen, SY. (1989). Leslie Matrix Models for Insect Populations With Overlapping Generations. In: McDonald, L.L., Manly, B.F.J., Lockwood, J.A., Logan, J.A. (eds) Estimation and Analysis of Insect Populations. Lecture Notes in Statistics, vol 55. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3664-1_20
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DOI: https://doi.org/10.1007/978-1-4612-3664-1_20
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