We take the forest insurance supply chain, composed of a forestry enterprise and an insurance company, as the research object. The forestry carbon sink, operated by the forestry enterprise, is the subject matter of insurance. The Stackelberg game model is constructed to study the optimal strategies of the forestry enterprise and insurance company under the forest insurance mechanism, as well as the impact of government subsidies, probability of deforestation, and carbon limit level on the decision-making and profit of the forestry enterprise and insurance company. The results show that the larger the carbon limit, the looser carbon restraint policy, which causes the forestry enterprise to reduce the scale of carbon sink forest, and the insurance company lowers the premium level. As the probability of deforestation increases, both the scale of the carbon sink forest and the premium level will decrease. Direct subsidies for the premiums of the forestry enterprise are conducive to expanding the scale of carbon sink forest, but will lead to the insurance company improving the premium level. Providing indirect subsidies to the insurance company’s operating costs will not only expand the scale of the carbon sink forest, but also lower the premium level. In the case of the same number of premium subsidies, indirect subsidies are more effective than direct subsidies in increasing the forestry enterprise’s income and promoting it to expand the forest scale.
We consider a capital constrained timber and carbon sink supply chain under the cap-and-trade scheme, where the forest company produces timber and carbon sink. We consider two subsidy modes: financing subsidy to the carbon sink forests and financing subsidy to the manufacturer’s emission reductions. We apply a Stackelberg model and mainly consider the impact of subsidies on the profits and the strategies of the supply chain members. The results show that when the government gives a financing subsidy to the carbon sink forests, it is conducive to promoting the expansion of carbon sink forests, as well as the enhancement of the forest company’s profit. However, a larger supply of carbon sinks generates a lower price, which leads to the manufacturer reducing the technical emission reduction level and purchasing more carbon emission rights instead. On the other hand, when the manufacturer receives a financing subsidy for the technical emission reduction costs, its production becomes cleaner than before, and the profits of the forest company and the manufacturer increase.
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