Abstract: This paper aims at analyzing the extent of multilayer spatial concentration of patents in Beijing (2020), and the roles of co-patenting and inventors, using invention patent microdata, standard deviational ellipse (SDE), hexagonal grids, and the relative concentration coefficient. The results show: (1) The extent of spatial concentration of patents in Beijing is higher than that of patent locations, with its coefficient of spatial concentration 63.27% higher than the latter; (2) The spatial pattern of patents exhibits a highly concentrated, "入" shaped core, with an area of 450 km2, density 10.43 times that of patent locations; (3) Co-patents show a higher level of spatial concentration, with the area of its ellipse 58.31% of that of the patents, and its coefficient of relative concentration 5.2% higher than that of patents. This suggests that co-patenting increases the extent of patent agglomeration in Beijing. Moreover, the spatial agglomeration of co-patents shows a single, "n" shaped core. (4) Co-patent is constrained by the universities’ distribution in Beijing, followed by enterprises and research institutions. Finally, policy implications are discussed.

摘要： 本研究使用授权发明专利微观数据，采用标准差椭圆、正六边形格网及相对集中系数，分析北京市2020年战略性新兴产业专利分布的多层空间集中性、高度集聚性，以及合作专利与发明者的作用。研究发现：（1）北京市专利分布比专利区位格局的空间集中水平高，其空间集中系数比后者大63.27%；（2）北京市专利分布的空间集聚格局呈现以单核心、“入字形”的高度集聚状态，专利核心集聚区的面积为450km2，密度是专利足迹空间的10.43倍;（3）北京市合作专利呈现更高的空间集中水平，其椭圆面积是专利椭圆面积的58.31%，相对集中系数比专利分布高5.20%，表明北京市的创新合作可以促进创新集聚；同时，合作专利分布的空间集聚格局呈现单核心、“n字形”的高度集聚形态；（4）北京市的专利合作受到高校分布制约，其次是企业和科研单位，高校分布与合作专利分布的空间相关系数最高。最后，提出了几点政策启示。