A robust role of carbon taxes towards alleviating carbon dioxide: a modeling study

IF 1.4 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY
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引用次数: 0

Abstract

Carbon tax serves as a tool to discourage carbon dioxide ( \(\text {CO}_2\) ) emissions, which are a root cause of climate change. A well-designed tax policy could reduce the risk of climate change, promote innovation in carbon-reducing technologies, and increase public revenue. In this research work, the model formulation is based on dynamic interactions among variables, namely the atmospheric concentration of \(\text {CO}_2\) , human population, forestry biomass, and the levied carbon tax. We assume that the collected revenue is used to control anthropogenic emissions of \(\text {CO}_2\) and fund reforestation/afforestation programs. We have derived sufficient conditions under which the considered dynamical variables settle to their equilibrium levels. The model analysis reveals that the atmospheric level of \(\text {CO}_2\) decreases as the levied tax rate increases, indicating that the atmospheric \(\text {CO}_2\) level can be reversed from its present state through the imposition of a carbon tax. Additionally, the formulated system undergoes Hopf-bifurcation concerning the growth of the levied tax and deforestation rate. Furthermore, through simulations, we have demonstrated that utilizing tax revenues for technologies that limit human-induced \(\text {CO}_2\) emissions and reforestation/afforestation programs is a promising strategy for mitigating the increased levels of \(\text {CO}_2\) .

碳税对减缓二氧化碳排放的有力作用:一项模型研究
摘要 碳税是抑制二氧化碳排放的工具,而二氧化碳排放是气候变化的根本原因。精心设计的税收政策可以降低气候变化的风险,促进减碳技术的创新,增加公共收入。在这项研究工作中,模型的建立基于各变量之间的动态互动,即大气中的(\text {CO}_2\ )浓度、人口、林业生物量和征收的碳税。我们假定征收的碳税用于控制人为排放和资助重新造林/植树造林项目。我们得出了所考虑的动态变量达到平衡水平的充分条件。模型分析表明,大气中的\(text {CO}_2\)水平随着征收税率的增加而降低,这表明大气中的\(text {CO}_2\)水平可以通过征收碳税从目前的状态逆转过来。此外,所设定的系统在征税和森林砍伐率的增长方面发生了霍普夫分岔。此外,通过模拟,我们证明了将税收收入用于限制人类引起的 \(text {CO}_2\) 排放的技术和重新造林/植树造林计划是缓解 \(text {CO}_2\) 水平上升的一个有前途的策略。
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来源期刊
Journal of Engineering Mathematics
Journal of Engineering Mathematics 工程技术-工程:综合
CiteScore
2.10
自引率
7.70%
发文量
44
审稿时长
6 months
期刊介绍: The aim of this journal is to promote the application of mathematics to problems from engineering and the applied sciences. It also aims to emphasize the intrinsic unity, through mathematics, of the fundamental problems of applied and engineering science. The scope of the journal includes the following: • Mathematics: Ordinary and partial differential equations, Integral equations, Asymptotics, Variational and functional−analytic methods, Numerical analysis, Computational methods. • Applied Fields: Continuum mechanics, Stability theory, Wave propagation, Diffusion, Heat and mass transfer, Free−boundary problems; Fluid mechanics: Aero− and hydrodynamics, Boundary layers, Shock waves, Fluid machinery, Fluid−structure interactions, Convection, Combustion, Acoustics, Multi−phase flows, Transition and turbulence, Creeping flow, Rheology, Porous−media flows, Ocean engineering, Atmospheric engineering, Non-Newtonian flows, Ship hydrodynamics; Solid mechanics: Elasticity, Classical mechanics, Nonlinear mechanics, Vibrations, Plates and shells, Fracture mechanics; Biomedical engineering, Geophysical engineering, Reaction−diffusion problems; and related areas. The Journal also publishes occasional invited ''Perspectives'' articles by distinguished researchers reviewing and bringing their authoritative overview to recent developments in topics of current interest in their area of expertise. Authors wishing to suggest topics for such articles should contact the Editors-in-Chief directly. Prospective authors are encouraged to consult recent issues of the journal in order to judge whether or not their manuscript is consistent with the style and content of published papers.
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