联结度指数构造模型及其应用

The model of interspecific association index was constructed in this paper. It is proved that the classical interspecific association statistic is the special case of this model. The derivation of this paper got the unification between interspecific association measurement and its statistic, and between its qualitative analysis and quantitative analysis. The essence of interspecific association index was opened out and the enactment of interspecific association index was developed. Four part specific association indices were constructed on this base, all of the specific association indices were computed respectively to the different radius of sample circle by the permanent sample plot data in Moarshan National Forest Park, Heilongjiang Province, P. R. China. The fourth index was less affected by the size of sample circle, was steady and widely practical.

一类捕食-食饵模型共存解的存在性

研究一类捕食-食饵模型在齐次Dirichlet边值条件下的共存解.首先,利用极值原理和Young不等式得到正平衡态解的先验估计;其次,通过计算不动点指数,结合锥上的拓扑度理论和谱分析方法论讨了平衡态方程存在正解的充分必要条件,以及共存解对参数的依赖性;最后,以食饵的死亡率作为分歧参数,利用局部分歧定理证明了发自半平凡解的局部分支的存在性.

天然次生林中乔木树种的种间关系

创建了局部联结度指数构造模型 ,构造了一种与密度相关的联结度指数及相应的显著性检验统计量 ,证明了经典联结度检验统计量是本模型的特例。应用联结度定义研究了帽儿山林场的固定标准地数据 10个树种的联结关系 ,得到了几个有显著联结度的树种关系 ,并检测到白桦与山杨间随年龄而变化的联结关系。