Research on Statistical Measure under Double Carbon Target-Self-moving regression model of grey prediction based on entropy weight method

At the 2020 General Debate of the United Nations General Assembly, it was explicitly stated that China will increase its nationally determined contributions and strive to peak carbon dioxide emissions before 2030 and achieve carbon neutrality before 2060. However, the past social development model has led to an annual increase in carbon emissions, so the contradiction between development and carbon reduction must be resolved. This article studies the relationship between carbon emissions, economy, population, and energy consumption in a certain region, and provides decision support for achieving carbon peak and carbon neutrality. To achieve this goal, a comprehensive indicator system has been established, including economic indicators, population indicators, energy consumption indicators, and carbon emissions indicators. A detailed analysis was conducted on the carbon emissions, economy, population, and energy consumption of the region during the 12th and 13th Five Year Plans. The total carbon emissions in 2010, 12th, and 13th Five Year Plans were compared, and their trends were analyzed. A comprehensive analysis was conducted on the relationship and mutual influence between carbon emissions, economy, population, and energy consumption in the region. Analyzed the main challenges faced in achieving carbon peak and carbon neutrality. Predicting the trend of carbo n emissions based on the results provides an important basis for formulating dual carbon path planning. By using the Kaya model to calculate carbon emi ssions and various factor models, the specific times for carbon peak under three scenarios were calculated. The carbon peak times for the baseline scenario, natural scenario, and ambitious scenario are 2022, 2036, and 2021, respectively, providing judgment basis and support for dual carbon path planning. The results of this study are of great significance for achieving carbon reduction targets and promoting sustainable development. By deeply analyzing the relationship between carbon emissions and the economy, population, and energy consumption, as well as assessing the challenges faced in achieving carbon peak and carbon neutrality, targeted policies and measures are formulated to promote regional sustainable development and achieve carbon reduction goals.