In this paper, we choose the time series data of the number of women in Huizhou and the Huizhou region from 2013-2024, which are sourced from the official website of the National Bureau of Statistics (NBS). First-order difference equation and first-order difference equation methods are utilized to forecast the time series data from 2025-2030. For these data, a double difference model is established to analyze the long- and short-term relationship between the two through cointegration test, error correction model, placebo test, and regression analysis, so as to study the role of Huizhou women in the development of history and culture. The results show that the cointegration test reveals that for every 1% increase in the number of Huizhou women, the value of historical and cultural industry increases by 3.85%, which indicates that Huizhou women promote cultural development. The regression results yield a linear correlation between the two, with a correlation coefficient of 0.984 and a companion probability of P<0.01. Huizhou women have a long-term and stable effect on the development of history and culture, and do not have a short-term equilibrium relationship.
