Biomathematics Group, Department of Mathematics and Statistics, University of Helsinki, PL 68 FIN-00014, Helsinki, Finland.
J Theor Biol. 2010 May 21;264(2):510-6. doi: 10.1016/j.jtbi.2010.02.031. Epub 2010 Feb 23.
I extend my previous work on life history optimization when body mass is divided into reserves and structure components. Two important innovations are: (1) effect of finite target size on optimal structural growth; (2) incorporating reproduction in the optimization objective. I derive optimal growth trajectories and life histories, given that the individual is subject to both starvation mortality and exogenous hazards (e.g., predation). Because of overhead costs in building structural mass, it is optimal to stop structural growth close to the target size, and to proceed only by accumulating reserves. Higher overhead costs cause earlier cessation of structural growth and smaller final structures. Semelparous reproduction also promotes early cessation of structural growth, compared to when only survival to target size is maximized. In contrast, iteroparous reproduction can prolong structural growth, resulting in larger final structures than in either the survival or the semelparous scenarios. Increasing the noise in individual growth lowers final structural mass at small target sizes, but the effect is reversed for large target sizes. My results provide predictions for comparative studies. I outline important consequences of my results to additional important evolutionary questions: evolution of sexual dimorphism, optimization of clutch size and evolution of progeny and adult sizes.
我扩展了之前关于体重分为储备和结构成分时生命史优化的工作。两个重要的创新点是:(1)有限目标大小对最佳结构生长的影响;(2)将繁殖纳入优化目标。我推导出了个体同时受到饥饿死亡和外生风险(例如捕食)影响时的最优生长轨迹和生命史。由于构建结构质量的开销,最优化的做法是接近目标大小停止结构生长,仅通过积累储备来进行。较高的开销成本会导致结构生长更早停止,最终的结构也更小。与仅将生存到目标大小最大化相比,单次繁殖也会促进结构生长的更早停止,从而导致更小的最终结构。多次繁殖可以延长结构生长,从而导致比生存或单次繁殖情况下更大的最终结构。个体生长中的噪声增加会降低小目标大小下的最终结构质量,但对于大目标大小,这种影响则相反。我的结果为比较研究提供了预测。我概述了我的结果对其他重要进化问题的重要影响:性二型性的进化、卵囊大小的优化以及后代和成年大小的进化。