OPTIMAL-GROWTH STRATEGIES WHEN MORTALITY AND PRODUCTION-RATES ARE SIZE-DEPENDENT

被引：44

作者：

PERRIN, N ^{[1
]}

SIBLY, RM ^{[1
]}

NICHOLS, NK ^{[1
]}

机构：

[1] UNIV READING,DEPT PURE & APPL ZOOL,READING RG6 2AJ,BERKS,ENGLAND

来源：

EVOLUTIONARY ECOLOGY | 1993年 / 7卷 / 06期

关键词：

OPTIMAL GROWTH STRATEGY; OPTIMAL ENERGY ALLOCATION; LIFE-HISTORY THEORY; INDETERMINATE GROWTH;

D O I：

10.1007/BF01237822

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

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.

引用

页码：576 / 592

页数：17

共 26 条

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