数量化理论在中国早奥陶世笔石动物地理分布研究中的应用

The Application of Quantification Theory to the Research on Geographical Distribution of Early Ordovician Graptolites in China

以中国早奥陶世22个地层分区以及至少出现于2个地层分区的57个笔石属作为定性变量,按照57个笔石属在22个地层分区中的出现情况,建立反应矩阵。根据数量化理论Ⅳ,定义各分区间的亲近度,从而使原始定性变量转化为定量数据,并由此获得22个分区相应于22个点在平面图中的位置。在平面图中,22个点可划分为2个点群,分别代表中国早奥陶世的两大笔石动物群,即华南型笔石动物群和华中型笔石动物群。

22 stratigraphic divisions of early ordovician in China and 57 grap-tolite genera, which existed at least in two divisions, are served as the qualitative variables. According to the response condition of the 57 graptolite genera in these 22 divisions, a response matrix is establisched. Based on the quantification theory Ⅳ, a definition of the degree of affinity is glven and then the primary qualitative variables are transformed into quantitative data. In this way we can locate the 22 divisions in a plane-figure. These 22 points are divided into two groups, which,represent respectiyely, two graptolite types in the early ordovician, namely, the South China type and the Central China type.