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  • 1
    Electronic Resource
    Electronic Resource
    Dynamic Models of Energy Allocation and Investment (1993)
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Ecology, Evolution, and Systematics 24 (1993), S. 379-410 
    Details
    ISSN: 0066-4162
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Biology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1146/annurev.es.24.110193.002115
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  • 2
    Electronic Resource
    Electronic Resource
    Optimal growth strategies when mortality and production rates are size-dependent (1993)
    Springer
    Evolutionary ecology 7 (1993), S. 576-592 
    Details
    ISSN: 1573-8477
    Keywords: optimal growth strategy ; optimal energy allocation ; life-history theory ; indeterminate growth
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01237822
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    Paper (German National Licenses)
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