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南海表层沉积物中放射虫分布与现代表层海水温度之间存在着较好的非线性关系。本文根据南海100个站位表层沉积中100个放射虫种类的丰度统计数据,采用主成分因子分析和多元线性与非线性回归方法,经数学分析筛选出29个站位和25个种类,用于探讨南海放射虫的古温度转换函数关系,分别建立了夏季和冬季的线性和非线性回归方程,并讨论它们的共同度、复相关系数、解释方差和估计误差。分析与检验结果显示,所建立的南海放射虫组合与冬季海水表层温度转换函数公式比夏季转换函数公式具有更好的参数指标与适用特征。文中对转换函数的建立方法与问题做了详细讨论。
There is a good nonlinear relationship between the distribution of radiolarians in surface sediments of South China Sea and the temperature of modern surface seawater. Based on the abundance statistics of 100 radioactive species in the surface sediments of 100 stations in the South China Sea, 29 stations and 25 species were screened by mathematical analysis using principal component factor analysis and multiple linear and nonlinear regression methods In order to discuss the ancient temperature conversion function of the radioactive insects in the South China Sea, linear and nonlinear regression equations were established respectively in summer and winter, and their commonalities, complex correlation coefficients, explanatory variance and estimation errors were discussed. The results of analysis and test show that the formula of the surface temperature transfer function in the South China Sea and winter seawater has better parameter indexes and applicable characteristics than the summer transfer function formula. In this paper, the establishment of transfer functions and problems are discussed in detail.