本文利用中国专利数据和各省(市)区GDP数据,研究了代表技术创新产出指标的专利数量与代表各省(市)区经济产出总量指标的GDP之间的定量关系,通过对近5年(1999至2003年)31个省(市)区的数据进行分析和计算发现,我国各省(市)区的专利产出数与其GDP之间具有很强的相关性(拟合相关系数为0.9434),表现为很好的定量的幂函数关系,是一种幂律分形(Fractal)。文章对这种幂律分形的特性和意义作了初步讨论,利用这一定量关系可以对一个地区的专利数量或者GDP作出预测。

With patent quantity and GDP data, the author researched the quantitative relation between patent quantity, which is an output index of technological innovation, and Gross Domestic Product, which stands for the economic output of one country or region. Based on the analysis and calculation of 5 years data (from 1999 to 2003) of 31 provinces/cites of China, the author found out there is a strong correlation (the fitting correlation coefficient is 0.9434) between patent output and GDP of provinces/cites. This is a fractal, quantitative power function relation. In this article, the author discussed about the properties and meaning of this fractal, as well as the method of applying this quantitative relation for analyzing the technological innovation level and efficiency of region, and predicted its patent quantity and vice versa.