The mean lifecycle and its relation to the background conditions for the Kelvin waves are analyzed with a composite method. In the case W for the typical example in the upper troposphere, the convections over the Indian Ocean and the western Pacific might be main energy source for the Kelvin waves. The Kelvin wave propagates eastward through the westerly basic wind, decreases over South America, and then goes faster to the east. The vertical structure has the divergence in the upper and middle troposphere and the weak convergence in the lower troposphere tilting toward the east following the time.
In the case E for the typical example in the TTL, the Kelvin wave propagates through the easterly basic wind and then decreases over the region between the Indian Ocean and the western Pacific. The Kelvin waves signal continuously over the South America from the region suggested that some of Kelvin waves firstly recognized as the case W at 200 hPa propagate upward and eastward over near the South America, and then they reach at 100 hPa as the case E. The Kelvin waves included in the cases W and E might be convectively coupled for a few days after they appear at 200 and 100 hPa, respectively. The temperature anomalies show the boomerang-like vertical structure during associated with the convection.