Correlation analysis between electricity consumption and economic development

As is widely known, the electricity industry is closely connected to the economic development. Lots of work has focused on the regression relationship between the economic metrics and electricity-related indexes. Studies on this relationship have great significance on economic predication and regulation. Obviously, the economic and electricity data can be treated as time series data, which is called trajectory in this paper. The similarity of two trajectories could reflect how much two metrics change in the same tendency. We proposed a new trajectory similarity, which based on the area enclosed by two trajectories. Different to the traditional polygon area, we keep one trajectory stay, and move another trajectory vertically seeking for the least area. Meanwhile, some economic activities would last for some time. So, there exists some time lagging between the economic activities and the electricity consumption. We could move the economic indicators data horizontally so that the most similarity could be found. Therefore, we could get time offset between the economic consumption and economic indicators. In the experiment, we used three similarity functions to compare the results. Our algorithm outperforms state-of-the-art techniques in terms of both effectiveness and efficiency.