With the continuous development of evolutionary game theory, evolutionary game is widely used in various fields of society. This paper constructs the evolutionary game model of actors and governance system in forest resource operation and management, and analyzes the stability strategy of each break-even point of the game system. The results suggest that: (1) When the parameters meet the conditions C 5 > pC 4 + C 2 R + C 3 < pC 4, the evolutionary stability strategy of the game system is of (no protection, no regulation), which may lead to the continuous deterioration of forest resources; (2) When the parameters meet the conditions C 5 < pC 4 + C 2 R + C 3 > pC 4 C 5 < C 2, the evolutionary stability strategy of the game system is of (no protection, regulation), which is to strengthen the supervision mechanism and improve the consciousness of actors to protect forest resources; (3) When the conditions are satisfied C 5 < pC 4 + C 2 R + C 3 < pC 4, there is no evolutionary stability strategy in the game system.
China’s ambitious measures for developing a low-carbon economy led to the “double carbon” target initiation. Under this national goal, reaching peak carbon emissions by 2030 is desired. This should not come at the cost of economic growth; which means carbon emissions can be reduced while economic growth can be achieved simultaneously. To realise this strategic reform, the first pilot ecological civilisation zone in Fujian Province of China was initiated; its outcome is set to be the responsible case for such initiations aiming at increased low-carbon economy development. Therefore, it is essential to investigate the relationship between carbon emissions and economic growth based on the evidence. Hence, we applied a model that combines the Tapio and Coupled coordination. Combining the Tapio and the coupled coordination models allows us to analyse carbon emissions and economic growth in Fujian Province over 20 years, i.e., 2001–2020. First, we divided the urban-rural integration process into four stages following China’s Five-Year Plan (FYP): T1 (2001–2005), T2 (2006–2010), T3 (2011–2015), and T4 (2016–2020). Second, ArcGIS mapping was used to represent the spatial evolution pattern of low-carbon economic development in Fujian Province. We observed that the low-carbon economy in Fujian Province had reached a point where the economic growth rate has already exceeded its carbon emission growth rate and is currently in a weak decoupling state. In addition, there observed a bifurcation pattern between carbon emissions and economic growth, especially in the coastal cities that are out of balance, whereas the inland cities are being coordinated. Overall, it is observed that the concept of ecological civilisation is crucial for China to achieve the “double carbon goal,” and it is high time to create accelerating measures that guide the integration of urban and rural areas in the future with appropriate infrastructure.
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