Optimal Life History Models: Effects of Nonlinearities in the Response of Reproductive Success to Investment

Andrea Pugliese
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Andrea Pugliese: Università degli Studi di Trento, Dipartimento di Matematica

A chapter in Biomathematics and Related Computational Problems, 1988, pp 223-235 from Springer

Abstract: Abstract A model of growth and reproduction for perennial plants in a seasonal environment is examined; it is assumed that reproductive success is a nonlinear function, g, of investment. When g is linear, the optimal strategy is to grow without reproduction to an optimal size R*, and then to maintain that size. When g is concave, the optimal strategy is an asymptotic growth to R*, reproducing from the beginning. When g is convex, it appears from a numerical study that cycles of one year of reproduction and several years of vegetative growth are optimal. Finally, the optimality of semelparous strategies is examined.

Keywords: Optimal Strategy; Optimal Resource Allocation; Finite Horizon; Asymptotic Growth; Discrete Maximum Principle (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2975-3_20

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DOI: 10.1007/978-94-009-2975-3_20

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