Department of Environmental Information Engineering, Tohoku Institute of Technology, Sendai 982-8577, Japan.
Bull Math Biol. 2012 Jul;74(7):1580-605. doi: 10.1007/s11538-012-9726-0. Epub 2012 Apr 27.
This paper demonstrates how discrete-time models describing population dynamics of two competing species can be derived in a bottom-up manner by considering competition for resources among individuals and the spatial distribution of individuals. The competition type of each species is assumed to be either scramble, contest, or an intermediate between them. Individuals of two species are distributed over resource sites or patches following one of three distribution functions. According to the combination of competition types of the two species and the distribution of individuals, various interspecific competition models are derived. Furthermore, a general interspecific competition model that includes various competition models as special cases is derived for each distribution of individuals. Finally, this paper examines dynamics of some of the derived competition models and shows that the likelihood of coexistence of the two species varies greatly, depending on the type of spatial distribution of individuals.
本文通过考虑个体间的资源竞争和个体的空间分布,展示了如何通过自底向上的方式推导出描述两个竞争物种的种群动态的离散时间模型。假设两种物种的竞争类型为争夺、竞争或介于两者之间的中间类型。两种物种的个体根据三种分布函数中的一种分布在资源位点或斑块上。根据两种物种的竞争类型和个体的分布,推导出各种种间竞争模型。此外,为每种个体分布推导出一个包含各种竞争模型作为特例的通用种间竞争模型。最后,本文研究了一些推导出来的竞争模型的动态,并表明两种物种共存的可能性因个体空间分布的类型而异。