Department of Mathematics, University of Turku, Finland.
Bull Math Biol. 2011 Jun;73(6):1312-32. doi: 10.1007/s11538-010-9560-1. Epub 2010 Jul 24.
We study the evolution of an individual's reproductive strategy in a mechanistic modeling framework. We assume that the total number of juveniles one adult individual can produce is a finite constant, and we study how this number should be distributed during the season, given the types of inter-individual interactions and mortality processes included in the model. The evolution of the timing of reproduction in this modeling framework has already been studied earlier in the case of equilibrium resident dynamics, but we generalize the situation to also fluctuating population dynamics. We find that, as in the equilibrium case, the presence or absence of inter-juvenile aggression affects the functional form of the evolutionarily stable reproductive strategy. If an ESS exists, it can have an absolutely continuous part only if inter-juvenile aggression is included in the model. If inter-juvenile aggression is not included in the model, an ESS can have no continuous parts, and only Dirac measures are possible.
我们在机械建模框架中研究个体生殖策略的演化。我们假设一个成年个体能够产生的幼体总数是一个有限的常数,并研究在模型中包含的个体间相互作用和死亡率过程的情况下,这个数量应该如何在季节中分配。在这种建模框架中,繁殖时间的演化已经在平衡居留动态的情况下进行了研究,但我们将情况推广到波动的种群动态中。我们发现,与平衡情况一样,幼体间攻击的存在与否会影响进化稳定的生殖策略的函数形式。如果存在一个 ESS,只有在模型中包含幼体间攻击的情况下,它才能具有连续部分。如果模型中不包含幼体间攻击,ESS 可能没有连续部分,只能是狄拉克测度。