解读鱼类体细胞生长的冯·贝塔朗菲模型：繁殖成本。
Interpreting the von Bertalanffy model of somatic growth in fishes: the cost of reproduction.
作者信息
Lester N P, Shuter B J, Abrams P A
机构信息
Department of Zoology, University of Toronto, 25 Harbord Street, Toronto, Ontario M5S 3G5, Canada.
出版信息
Proc Biol Sci. 2004 Aug 7;271(1548):1625-31. doi: 10.1098/rspb.2004.2778.
We develop a model for somatic growth in fishes that explicitly allows for the energy demand imposed by reproduction. We show that the von Bertalanffy (VB) equation provides a good description of somatic growth after maturity, but not before. We show that the parameters of the VB equation are simple functions of age at maturity and reproductive investment. We use this model to show how the energy demands for both growth and reproduction trade off to determine optimal life-history traits. Assuming that both age at maturity and reproductive investment adapt to variations in adult mortality to maximize lifetime offspring production, our model predicts that: (i) the optimal age of maturity is inversely related to adult mortality rate; (ii) the optimal reproductive effort is approximately equal to adult mortality rate. These predictions are consistent with observed variations in the life-history traits of a large sample of iteroparous freshwater fishes.
我们构建了一个鱼类体细胞生长模型，该模型明确考虑了繁殖所带来的能量需求。我们发现，冯·贝塔朗菲（VB）方程能够很好地描述成熟后的体细胞生长情况，但不适用于成熟前。我们还表明，VB方程的参数是成熟年龄和繁殖投入的简单函数。我们利用这个模型展示了生长和繁殖的能量需求如何相互权衡，以确定最优的生活史特征。假设成熟年龄和繁殖投入都能适应成年死亡率的变化，以实现终身后代产量最大化，我们的模型预测：（i）最优成熟年龄与成年死亡率呈负相关；（ii）最优繁殖努力大致等于成年死亡率。这些预测与大量多次繁殖淡水鱼类生活史特征的观察变化结果一致。
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