The sensitivity of age-structured populations to environmental variability

DOI10.1016/0025-5564(81)90005-5zbMath0486.92018OpenAlexW1972922896WikidataQ57769966 ScholiaQ57769966MaRDI QIDQ1165193

Joseph W. Horwood, John G. Shepherd

Publication date: 1981

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(81)90005-5

zbMATH Keywords

sensitivityenvironmental variabilityequilibrialinearized stabilityreturn timeage-structured populationsstochastic fluctuationsdiscrete nonlinear Leslie matrix modelNorth Sea herring

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40)

Related Items (11)

The accuracy of Bartlett's small-fluctuation approximation for stochastic-difference-equation population models ⋮ Effects of delay, truncations and density dependence in reproduction schedules on stability of nonlinear Leslie matrix models ⋮ Globally attracting attenuant versus resonant cycles in periodic compensatory Leslie models ⋮ A density-dependent Leslie matrix model ⋮ Compensation and stability in nonlinear matrix models ⋮ An analysis of life history evolution in terms of the density-dependent Lefkovitch matrix model ⋮ Recruitment variability and age structure in harvested animal populations ⋮ Production models for nonlinear stochastic age-structured fisheries ⋮ The dynamics of population models with distributed maturation periods ⋮ A general linear theory for the variance of the yield from fish stocks ⋮ On optimal long-term management of some ecological systems subject to uncertain disturbances†

Cites Work

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• A new proof of theorems of Perron and Frobenius on nonnegative matrices: I. Positive matrices
• A systematic approach to determining mean-variance tradeoffs when managing randomly varying populations
• A delayed-recruitment model of population dynamics, with an application to baleen whale populations
• 365: Leslie Matrix Models for Fisheries Studies
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• ON THE USE OF MATRICES IN CERTAIN POPULATION MATHEMATICS

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