Research on the coupling and coordination index of green finance and high-quality economic development based on matrix modeling

The traditional way to calculate the coupling index of green finance and high-quality economic development has the problems of ignoring spatial spillover effects and regional heterogeneity. Based on the spatial measurement matrix, this paper calculates the coupling index of the two. Firstly, the index system is established according to the characteristics of green finance and high-quality economic development, then the entropy weight method is used to calculate the weight, combined with the Moran index to calculate the regional differences, and finally, the spatial measurement matrix is used to derive the final results. After the model was established, data on China’s green finance and high-quality economic development from 2016 to 2022 were collected as samples, and the coupling analysis was launched and tested using Granger causality. The calculation results show that Shanghai has the highest level of high-quality economic development from 2016 to 2022, steadily increasing from 0.635 to 0.819 in 2022. The global Moran index has been maintaining a level of 5% for all years. The LR index of SDM/SEM is 51.39. The coupling index of the measure of green finance is 0.1395, and the coupling index of the level of high-quality economic development is 0.1873. The Granger causality assumption chi-square for the uncorrelation of the two is 6.382 and 3.085, respectively, with p-values of 0.004 and 0.091. There is a correlation between them that is positive.