Abstract: Tapio model was used to analyze the decoupling status between livestock and poultry breeding carbon emissions and operating income, wage income, transfer income and property income in rural China. Based on SVAR model and impulse response method, the dynamic response relationship between the carbon emission and the four types of income was analyzed. The results show that the relationship between the carbon emissions and the four types of income is changing from decoupling fluctuation to strong decoupling, and there is also a long-term cointegration and dynamic response between them. The positive impact of operating income on carbon emissions shifted from a short-term boost to long-term depression, however, the positive impacts of wage income, transfer income and property income have the cumulative effect of reducing carbon emissions in the long run. Wage income showed a continuous positive response to the positive impact of carbon emission, while the other three types of income changed from short-term negative response to long-term positive response. Therefore, it is necessary to establish a link between broadening the income increase channels of rural residents and the resource utilization of livestock and poultry waste, so as to promote the coordinated development of rural economy and environment.

Key words: income of rural residents, livestock and poultry breeding, carbon emission, strong decoupling, cointegration, impact