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

In: Biomathematics and Related Computational Problems

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  • Andrea Pugliese

    (Università degli Studi di Trento, Dipartimento di Matematica)

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.

Suggested Citation

  • Andrea Pugliese, 1988. "Optimal Life History Models: Effects of Nonlinearities in the Response of Reproductive Success to Investment," Springer Books, in: Luigi M. Ricciardi (ed.), Biomathematics and Related Computational Problems, pages 223-235, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-2975-3_20
    DOI: 10.1007/978-94-009-2975-3_20
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