Optimal growth strategies when mortality and production rates are size-dependent

Détails

ID Serval
serval:BIB_9D2AF9692497
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
Optimal growth strategies when mortality and production rates are size-dependent
Périodique
Evolutionary Ecology
Auteur⸱e⸱s
Perrin N., Sibly R. M., Nichols N.
ISSN
0269-7653
Statut éditorial
Publié
Date de publication
1993
Peer-reviewed
Oui
Volume
7
Numéro
6
Pages
576-592
Langue
anglais
Notes
IDD857BBCE4919_
Résumé
Pontryagin's maximum principle from optimal control theory is used to find the optimal allocation of energy between growth and reproduction when lifespan may be finite and the trade-off between growth and reproduction is linear. Analyses of the optimal allocation problem to date have generally yielded bang-bang solutions, i.e. determinate growth: life-histories in which growth is followed by reproduction, with no intermediate phase of simultaneous reproduction and growth. Here we show that an intermediate strategy (indeterminate growth) can be selected for if the rates of production and mortality either both increase or both decrease with increasing body size, this arises as a singular solution to the problem. Our conclusion is that indeterminate growth is optimal in more cases than was previously realized. The relevance of our results to natural situations is discussed.
Mots-clé
optimal growth strategy, optimal energy allocation, life-history theory, indeterminate growth
Web of science
Création de la notice
24/01/2008 17:53
Dernière modification de la notice
20/08/2019 15:03
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