With the rise of climate disasters, consumers have growing interest in low-carbon products. Considering the information updating of low-carbon preferences, this paper analyses incentive strategies for low-carbon supply chains. Based on the public's increase in environmental awareness during the lead time of supply chains, this paper first describes information updating in low-carbon supply chains. Second, we analyze the response decisions of this supply chain under the given incentive strategies. Based on these decisions, an optimal model of carbon reduction is then designed for the government...