与空间格局有关的单种群增长

The Growth Related to Spatial Pattems in Single-Species Populations

本文将与格局有关的单种群增长作为随机过程，用概率论中求随机变量函数的概率分布函数的方法预测植物种群空间分布格局的动态。结论认为，在种群为指数增长时，分布格局的聚集度以二倍指数增加；但平均密度变化与格局无关。在种群为Ｌｏｇｉｓｔｉｃ增长时，如生境条件均一，任何具有非均匀格局的植物种群种内竞争的最终结果都是趋于完全均匀的分布格局，得出了与Ｃｏｏｐｅｒ等的实例研究相符的结论。

In this paper the growth related to spatial patterns in single-species populations was regarded asstochastic processes.Using the methods deducing probability distribution functions of the functions ofstochastic variables,the dynamics of spatial patterns of plant populations can be predicted. The resultsshowed that the degree of aggregation of distribution patterns increases exponentially when the populationgrowth is Malthusian ,while the change of the average density of species populations are not related to pat-terns. As the population size increases logisticly and habitat is entirely homogeneous,the spatial patterns ofall plant populations tend to be complete regular as a result of intraspecific competition. This conclusionagrees with that of Cooper et al.