—Carbon dioxide (CO2) is one of the most important anthropogenic greenhouse gases (GHG) that caused global environmental degradation and climate change. China has been the top carbon dioxide emitter since 2007, surpassing the USA by an estimated 8%. So, forecasting future CO2 emissions trend in China provides the basis for policy makers to draft scientific and rational energy and economic development policies. This paper presents an optimization GM (1, 1) model to forecast the carbon dioxide emissions in China. In traditional GM (1, 1) model, the background value usually chooses the constant 0.5. But taking the same background parameter values for each time with different trend will result in degrading the forecasting accuracy. And it is also the main reason why the accuracy is lower with non-smooth sequence forecasting. So, the rational background value should be selected during parameter identification process. Considering the limitation of traditional GM (1, 1), the background value vectorα is introduced to assign different parameters for different times instead of choosing constant value 0.5 to compute background value array. And the Harmony Search (HS) algorithm is adopted to determine the value of α through optimizing the Mean Absolute Percentage Error (MAPE) function. The proposed HS optimization GM (1, 1) is applied to carbon dioxide emissions forecast in China. And the simulation results show that the HS optimization GM (1, 1) model gives better accuracy.
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