A time-based complex network analysis on the seismic activity along the coast of Chile was made. The study was made by using a moving window along the chilean subduction zone. The coast of Chile was divided on windows of 300 km in Latitude, from Arica city in the north up to Temuco city, in the south. The window was moved in 100 km from north to south. We built a time-based earthquake complex network on each window and we studied a directed complex network along the Chilean coast. Assuming a self-similar data network for the directed network we found the value of the power law characteristic exponent for the connectivity probability distribution. The exponents and values were evaluated for the data set with magnitude greater than Mw 3.0. We compare the results with previous works that measured the coupling along the Chilean coast.