Optimal resource allocation and the marginal value of organs

Détails

ID Serval
serval:BIB_C969725021FD
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Titre
Optimal resource allocation and the marginal value of organs
Périodique
American Naturalist
Auteur⸱e⸱s
Perrin N.
ISSN
0003-0147
Statut éditorial
Publié
Date de publication
1992
Peer-reviewed
Oui
Volume
139
Numéro
6
Pages
1344-1369
Langue
anglais
Notes
IDBC5FB218D38C_
Résumé
Using Pontryagin's maximum principle from optimal control theory, I investigate patterns of optimal allocation of energy toward the several state variables constituting an organism's body (e.g., locomotor system, acquisition or protective structures, etc.) and affecting its production rate (P) and/or mortality probability (mu). The trade-offs between state variables are assumed to be linear, the environment is constant, and the time horizon is infinite (i.e., no maximal longevity is assumed). The following rules are shown to be necessary conditions for the allocation strategy to result in the maximum feasible rate of increase (r*): all allocation must go to the organ(s) that provide(s) the highest return, in terms of increasing P/(r* + mu), provided that this return exceeds investment; if several organs provide the same return, then allocation must be simultaneous and must be such that the returns decrease at the same rate; and as soon as the highest return is equal to investment, all production must be channeled into reproduction. These results extend previous analyses and are discussed in the several contexts of ontogenetic changes and phenotypic plasticity in resource allocation, patterns of growth and survival, density dependence and r/K theory, complex life cycles, and colony expansion paths of insect societies.
Mots-clé
OPTIMAL LIFE HISTORIES, OPTIMAL-GROWTH, ANNUAL PLANT, OPTIMAL SIZE, INDUCED POLYMORPHISM, STORAGE-ALLOCATION, VEGETATIVE PLANTS, PERENNIAL PLANTS, MODEL, REPRODUCTION
Web of science
Création de la notice
24/01/2008 18:53
Dernière modification de la notice
20/08/2019 16:44
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