Identification of key paths for embodied carbon emissions in China based on a five-dimensional analysis model

China proposed the "double carbon goals" in 2020. carbon emissions reduction has become a crucial aspect in China's economic development process. Faced with significant differences in regional carbon emissions, and complex inter-industry linkages, it is necessary to break down the carbon emission paths along the supply chain from multiple dimensions. Based on the input-output-structure path analysis model, we constructed a five-dimensional analysis model, aiming to thoroughly clarify China's inter-regional and inter-industry carbon emission relations. The results show that from 1997 to 2017, carbon emissions driven by urban household consumption have increased from 579.48 Mt to 3302.71 Mt. Transportation warehousing and other services have driven upstream to generate lots of carbon emissions. The largest emission path is generated by the electric heat and water supply industry in Shandong, meeting the consumption of urban residents. Carbon emissions generated by electric heat and water supply industry in Shanxi and Shandong should be focused.