基于学科引文的文献生命周期模型探析

Probe into the Literature Lifecycle Model Based on Disciplinary Citations

基于文献老化负指数模型与生命周期曲线并借助函数推导与曲线分析方法,揭示出文献老化率在负指数模型中为常量,而在生命周期曲线下则为时间函数且具有复杂的数学特征。在此基础上,深入探讨了文献生命周期数学模型的理论特征、模型构建与数学验证问题。结果表明对数正态模型能够较好地拟合学科引文历时分布数据且符合文献生命周期理论曲线与老化率函数的典型数学特征。

Based on the literature aging negative exponent model and lifecycle curve, and by the use of the function derivation and curve analysis method, this paper reveals that the literature aging rate is a constant in the negative exponent model but a function of time with complex mathematical characteristics in the literature lifecycle curve. On this basis, the paper probes into the theoretical characteristics, model construction and mathematical validation of the literature lifecycle mathematical model. The results show that the lognormal model can better fit the disciplinary citation diachronic distribution data and conform with the typical mathematical characteristics of the theoretical curve and aging rate function of the literature lifecycle.