Abstract:     At present, the economic and social ties among regions are becoming closer and closer. Studying the mechanism and reasons of collaborative innovation input on green collaborative innovation output from a dynamic and spatial perspective is very important to improve the ability and efficiency of green collaborative innovation and realize green transformation and development.
     This paper used the input and output data of industrial collaborative innovation in 30 provincial-level regions in China from 2010 to 2017 to conduct the research. Firstly, this paper estimated the green collaborative innovation output of industrial enterprises above designated size, the capital stock of collaborative innovation materials and the full-time equivalent of collaborative innovation personnel. Then, the spatial measurement based on transcendental logarithm production function was carried out by using economic distance matrix, human capital matrix, innovation infrastructure matrix and economic linkage matrix.
     The results show that: (1) the Moran I index scatter diagram of China′s provincial industrial green collaborative innovation output and the Moran index of differential GMM regression residual show that China′s provincial industrial green collaborative innovation has a significant positive spatial spillover effect. (2) The LM Test under the economic distance matrix, human capital matrix, innovation infrastructure matrix and economic linkage matrix shows that the dynamic spatial error model is more suitable than the dynamic spatial lag model when studying the green collaborative innovation production of China′s provincial industries. (3) Through comparison, it is found that the regression effect of regional fixed effect of DSEM under the economic linkage matrix is better. The regression results show that collaborative innovation capital has a significant inverted "U" effect on the output of green collaborative innovation, while collaborative innovation personnel have a non-significant "U-shaped" effect on the output of green collaborative innovation, The interaction between collaborative innovation capital and collaborative innovation personnel will have a significant compound effect on the output of green collaborative innovation. (4) Further, the dynamic spatial threshold regression with the marketization level as the threshold variable is carried out. The results show that the collaborative innovation capital has a significant inverted "U-shaped" effect on the output of green collaborative innovation, but its inverted "U-shaped" effect should gradually weaken with the improvement of the marketization level. When marketization is at a low level, collaborative innovation personnel have a significant inverted "U-shaped" effect on the output of green collaborative innovation, but with the improvement of marketization level, its inverted "U-shaped" effect will change into "U-shaped" effect, and its "U-shaped" effect will weaken with the further improvement of marketization level. The interaction of collaborative innovation capital and collaborative innovation personnel has no significant threshold effect on the output of green collaborative innovation. (5) Through dynamic spatial threshold effect test of the introduction of time trend, in sub regions and dynamic spatial GMM test in sub regions, it is found that the symbol and change trend of model parameters are basically consistent with the benchmark regression results, which shows that the research conclusion of this paper has good robustness.
    The research conclusion of this paper helps to clarify the action mechanism of collaborative innovation input on green collaborative innovation output, and provides an important policy reference for improving the ability and performance of regional green collaborative innovation.

Key words:  green collaborative innovation, transcendental logarithmic production function, dynamic spatial threshold model, dynamic space GMM