Power Mechanism and Path of Deep Integration of Cultural Industry and Tourism Industry in the Background of Big Data

This paper extracts the indicators of the power mechanism of the integration of cultural industry and tourism industry in Province A, determines the weights by using entropy value method, substitutes them into the model of coupling coordination degree to measure, and determines the coordination mechanism of the integration of the cultural industry system and the tourism industry system. Through the empirical research method, the comprehensive development level and coupling coordination degree of the culture and tourism industries in province A from 2016-2023 were quantitatively analyzed from a scientific perspective. The results show that the overall development of the culture and tourism industry has maintained a steady upward trend during 2016-2023, but its development is still uneven and synchronized. The degree of correlation between the development of cultural industry and tourism industry is high, and the average value of its coupling degree is at a high level (0.96168).Although the overall level of the coupling coordination degree of province A is low during 2016-2023, it shows a rising trend year by year, and the annual average value grows from 0.23348 to 0.3656.The results of kernel density estimation show that The phenomenon of internal grading is more obvious, and the level of coupled and coordinated development of cultural system and tourism system needs to be further improved. In addition, the polarization of cultural industry and tourism industry in some areas is becoming more and more significant, and the level of coordination is not stable enough, but the level of their coupling and coordination are all moving towards high-quality coordination.