群落均匀度分形分析

修正了Frontier和Ricotta等关于有效物种丰富度指数A与物种丰富度指数S之间幂律关系的定义．探讨了A与S之间分形关系的生态学意义．认为分形维数D是群落均匀度测度值在物种数S不断增加的过程中．向其逼近的一个理论值；提出了利用双对数坐标上建立的A与S拟合直线的方程．对群落均匀度的4种变化趋势进行描述的方法。以广东黑石顶自然保护区森林演替系列为例．研究了针阔叶混交林和常绿阔叶林样带上．随着样带观察长度的逐渐增加群落均匀度的变化情况。结果表明．230m长的混交林样带只存在一个线性无标度区间．群落均匀度随样带长度的不断增加而逐渐降低．向分形维数D=0．810趋近。170m长的常绿阔叶林样带存在两个线性无标度区问．在0～25m的尺度域内．随着样带长度的逐渐增加均匀度不断降低．向分形维数D=0．525逼近；在30～170m的尺度域内．随着样带观察长度的增加．群落均匀度也逐渐增加．向分形维数D=0．920趋近。

Fractal analysis of the community evenness

Hill defined the effective species richness A=2 H , i.e., the theoretical (diversity equivalent) number of species if all species were equifrequent, where H is the Shannon's entropy. Frontier suggested that the effective species richness A can generally be expressed as A=S J , where S is the species richness and J is the Pielou's evenness. The equation A=S J takes the form of a fractal power law relationship, in this way J is thus interpreted as a scale invariant dimensi...