Research on the legal system of economic-ecological synergistic compensation in carbon neutral marine cities with a background in big data

With the increasingly severe global carbon emissions problem and the serious threat ecosystems face, carbon neutrality has gradually attracted widespread attention. This study provides an in-depth analysis of practical cases of international carbon neutrality initiatives and relevant experiences of marine cities, focusing on the construction and implementation of a legal system for economic, ecologically coordinated compensation. To evaluate the actual effectiveness of the legal system in marine cities, this study used a multiple linear regression model, considering factors such as the strictness of the legal system, enforcement efforts, and the level of participation of local enterprises and residents. The research results indicate that carbon emissions have significantly decreased in cities where legal systems are effectively enforced, from an average of 1.5 million tons per year to 1 million tons. At the same time, the economic growth rate of these cities has also significantly improved, increasing by about 2.5 percentage points from the original annual average of 4 % to 6.5 %. The study also found that the biodiversity index of these cities increased by 15 %, far higher than the average increase of 5 % in other cities, indicating the positive role of legal systems in protecting biodiversity. The public's participation rate in environmental protection activities has also increased from 25 % to 45 %, and the growth rate of green investment has reached an average of 8 % per year, far exceeding the 3 % growth rate of other cities. In terms of the ecosystem, data shows that the distribution of the ecosystem is stable, with an average ecological index of 508, which is in a relatively ideal state. The annual average growth rate of ecosystem restoration is about 3.5 %, further proving the effectiveness of ecological protection measures. Comprehensive empirical analysis shows that implementing the new legal system effectively reduces carbon emissions, enhances biodiversity, and promotes sustainable economic development. The economic growth rate increased from an average of 4.2 % to 5.1 % per year after implementing the new legal system, fully demonstrating the important role of the economic, ecologically coordinated compensation legal system in promoting carbon neutrality goals in marine cities.