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With the K-means clustering and Logistic model, we forecasted the carbon emissions in 30 provinces and autonomous regions in China from 2014 to 2023 based on the data of 30 provinces from 2005 to 2013. First, 5 indicators were selected, which include GDP, urbanization rate, the proportion of the second industry, the energy efficiency and the carbon emission intensity. Secondly, K-means cluster analysis method was used to divide the carbon emission into 5 types. Finally, the Logistic model of carbon emissions growth was built, to predict the carbon emissions these provinces from 2014 to 2023. It was found that the carbon emission of China from 2014 to 2023 is increasing continuously.

Digital content industry, listed as China's “key cultural industries”, has maintained high-speed growth in recent years. However, challenges still remain since piracy has become obstacles in long-term sustainable development. A firm may employ different pricing and investing policies with differentiated environmental conditions to protect intellectual property, increase legitimate sales and maximize the firm's benefits. Based on the assumption that the firm uses a skimming strategy, we establish three models to analyze the pricing and investing decisions of the firm selling a product with continuous saturation effect over time and pirated easily. All the optimal pricing and investing policies that maximize profits can be applied to a wide variety of digital industries such as entertainment and online office industries.