Optimal life histories: A generalization of the Perron-Frobenius theorem

DOI10.1016/0040-5809(91)90054-JzbMath0737.92013OpenAlexW2026091302MaRDI QIDQ1182799

John M. McNamara

Publication date: 28 June 1992

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-5809(91)90054-j

zbMATH Keywords

iterative proceduredynamic programmingPerron-Frobenius eigenvaluepopulation projection matrixdiscounted maximum future expected rewardmatrix population modelmaximum reproductive valueoptimality operatorstate dependent optimal life history strategies

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Population dynamics (general) (92D25) Markov and semi-Markov decision processes (90C40)

Related Items (5)

The effects of background mortality on optimal reproduction in a seasonal environment ⋮ Optimal life histories for structured populations in fluctuating environments ⋮ Explaining the optimality of U-shaped age-specific mortality ⋮ Dynamic optimization over infinite-time horizon: web-building strategy in an orb-weaving spider as a case study ⋮ The co-evolution of intergenerational transfers and longevity: an optimal life history approach

Cites Work

• Unnamed Item
• Unnamed Item
• Oviposition site selection and clutch size in insects
• Natural selection of life history attributes: An analytical approach
• On a Quasi-Linear Equation
• The policy which maximises long-term survival of an animal faced with the risks of starvation and predation
• Non-negative matrices, dynamic programming and a harvesting problem
• On sets of countable non-negative matrices and Markov decision processes
• THE THEORY OF NON‐NEGATIVE MATRICES IN A DYNAMIC PROGRAMMING PROBLEM
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS

This page was built for publication: Optimal life histories: A generalization of the Perron-Frobenius theorem