The relationships among energy consumption, economic output and energy intensity of countries at different stage of development

Based on 3GR model, the relationships between energy consumption, economic effect and technical effect of countries at different stage of development (developed, developing and the least developed countries) was figured out. Comparing the equivalent value of GREC, GREO and GREI during the period from 1996 to 2013, the diverse development laws in different kinds of countries was found. The following conclusions were obtained: (1) based on 3GR model, there is a liner relationship between GREC and GREO or GREI and an inverse relationship between GREI and GREO when the equivalent value of (1+GREOi) or (1+GREIi) or (1+GRECi) is a constant. (2) The equivalent value of GREO are in the following orders, developed countries < developing countries < the least developed countries, while that of GREI have the opposite orders. The orders of the equivalent value of GREC are developed countries, the least developed countries and developing countries from small to large. The least developed countries own the largest potential to realize further development whether in economic expansion, technical innovation or in optimize industrial structure while these potential in developed countries are the smallest and in developing countries are at the middle level; the development in developing countries shows the most growth going forward. (3) The change in energy consumption is codetermined by EO effect, EI effect and their interactive effect. EO effect shows the leading position among the three effects, especially in developing countries and the least developed countries. In developed countries, EC change, EO effect and EI effect are both change in a tight range. While in developing countries and the least developed countries, these ranges are rather large.