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For carbon peak by 2030 and carbon neutrality by 2060, China needs to balance efficiency and fairness to build a sustainable assessment system. The paper uses the Cobb-Douglas-Negative Feedback Model, finds that the green GDP development level of thirty-one provinces, cities and regions in China satisfies Ziff's law. By constructing the Double-Helix Coupling Model under the Lotka-Volterra symbiosis mechanism, the ecological supply capacity is to positively promote the level of ecological welfare or the ability to transform the ecological welfare, if and only if the co-gain parameters of . Zhejiang, Jiangsu, Shandong, and Guangdong provinces continue to support high ecological welfare and high green GDP from 2016 to 2023. They are model provinces for sustainable development in China. The development model of ecological welfare is still path-dependent by predicting the level of ecological welfare in thirty-one provinces, cities, and regions in China in 2030 and 2060. The path-dependent form will hinder the sustainable development of ecological welfare.