The investigation of worldwide climate change is a noticeable exploration topic in the field of sciences. Outflow of greenhouse gases in the environment is the main reason behind the worldwide environmental change. Greenhouse gases retain heat from the sun and prompt the earth to become more sultry, resulting in global warming. In this article, a model based technique is proposed to forecast the future climate dynamics globally. Using past data on annual greenhouse gas emissions and per capita greenhouse gas emissions, the fractal curves are generated and a forecast model called the autoregressive integrated moving average model has been employed to anticipate the future scenario in relation to climate change and its impact on sea-level rise. It is necessary to forecast the climate conditions before the situations become acute. Policy measures aimed at lowering CO and other greenhouse gas emissions, or at least slowing down their development, will have a substantial effect on future warming of the earth.