The principal urban agglomerations in China function as critical hubs for both economic advancement and the mitigation of carbon emissions. Given the disparate levels of development across various urban agglomerations, trade between these agglomerations may result in inequality between carbon transfers and value added transfers. Assessing carbon inequality among major urban agglomerations in China can help identify the identification of primary trade relationships and industrial sectors of carbon inequality, thereby fostering the coordinated development of urban agglomerations. This study constructs a carbon inequality index based on an environmentally extended input-output model. This study conducts a thorough evaluation of carbon inequality among various urban agglomerations and analyzes the industry characteristics of embodied carbon net transfers and value added net transfers in typical urban agglomerations. The research findings indicate that: The carbon inequality index for underdeveloped urban agglomerations, exemplified by the Central Plains urban agglomeration, is generally greater than 1. The carbon inequality index for developed urban agglomerations, exemplified by the Yangtze River Delta urban agglomeration, is generally less than 1 due to their higher levels of economic development. An analysis of the industry characteristics of carbon emissions net transfer and value added net transfer in typical urban agglomerations reveals that heavy industry is the main contributing sector to the net inflow of embodied carbon and net outflow of value added in the Central Plains urban agglomeration. The main contributing sector to the net outflow of embodied carbon and net inflow of value added in the Yangtze River Delta urban agglomeration is the service industry. This study ultimately proposes more refined recommendations aimed at fostering coordinated development among regions in China, establishing a win-win situation for economic growth and carbon reduction.
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