Research On Disaster Mitigation Strategies Based On Social Welfare Maximization Under Climate Warming

The development of industrialization has brought abundant resources and convenient life to human beings,but also produced various greenhouse gases,including carbon dioxide,which make global warming more serious,which means that human beings will be faced with more challenges of natural disasters,such as melting glaciers,rising sea level and so on,which threaten economic development and human survival.Therefore,under the current situation,how to alleviate global warming and practice sustainable development policy is imminent.Reducing carbon dioxide emissions in production,promoting green technologies,and spending on infrastructure to prevent disasters are direct and indirect efforts to reduce disaster reduction.Therefore,the work of this paper is to study the changing trends of key economic variables such as optimal company disaster reduction expenditure,optimal company investment and optimal household consumption respectively under the consideration of carbon emission reduction,green technology level progress and jump arrival rate affected by temperature based on the goal of social welfare maximization.According to the research results,corresponding disaster reduction strategies are derived.The main research contents are as follows:First,in the context of climate warming,it is assumed that in order to fulfill social responsibilities and practice the theory of sustainable development,enterprises pay a certain proportion of production share to reduce carbon dioxide emissions,which makes the productivity of enterprises decline.In the model,Poisson jump is used to depict the impact of climate disasters on the capital stock.Households and businesses can dynamically update their perception of disaster arrival rates based on known information.In this context,the dynamic optimization theory is used to discuss the social planner problem and the optimal solution under the free competition equilibrium,and the derivation proves that the free competition market equilibrium and the solution under the social planner equilibrium are completely consistent.Moreover,the numerical simulation is carried out to investigate the impact of emission reduction rate on the optimal corporate investment and the optimal household consumption,and the government subsidy is further considered to be introduced into the model according to the conclusion.The influence of government subsidies on the optimal solution was explored,and corresponding disaster reduction strategies were proposed according to the research results.Second,on the basis of the previous chapter,two kinds of disaster reduction expenditure are considered and distinguished.The first is the disaster reduction expenditure as a control variable,which is devoted to the construction of hardware facilities to prevent disasters,such as the construction of sea walls to prevent the rise of sea level and the construction of drainage systems to prevent floods.The other is the emission reduction expenditure used to reduce carbon dioxide emissions,which has a lag effect on the natural environment.At the same time,considering the progress of green technology,the cost of emission reduction will be reduced.In this context,the social planner problem is discussed,and the influence of green technology level on optimal disaster reduction expenditure,optimal corporate investment and optimal household consumption is discussed by numerical simulation.And the corresponding disaster reduction strategies are given according to the research results.Third,when the Poisson jump is considered to depict the impact of natural disasters on capital stock,the arrival rate of Poisson jump is related to temperature,that is,the more serious the greenhouse effect is,the higher the frequency of natural disasters will be.On this basis,considering the social planner problem and the solution under free competition equilibrium,the dynamic optimization theory is used to derive their HJB equations respectively.Through derivation,it is proved that their solutions are completely consistent,and numerical simulation is carried out to discuss the influence of temperature,economic fluctuations,risk aversion on optimal disaster reduction expenditure,optimal investment,optimal consumption.According to the research results,the corresponding disaster reduction strategies are obtained.