Energy demand forecasting in China: the rise of China and it's energy implications

The methodology part for my proposed PhD research proposal is needed. In the proposed study I am going to forecast and measure energy consumption (direct and indirect) in three energy intensive sectors in China includes rural households, transports and heavy industry. To serve this purpose methodology part should be made on ARDL modelling approach that will be based on time series property (data). In addition this methodology also forecast the structural changes of the relevant sectors. Previous order was based on Leontief input output model that became ineffective due to unavailability of data. I am going to attach previous order, one article suggested by my supervisors that to follow (the article followed ARDL modelling approach), and the email that I got from China's energy commission.  I am also kindly requesting to add sufficient mathematical equations that covers all ARDL methodological approach in the proposed study. ARDL modelling should focus embodied energy consumption