Study the continuous changes in the fluctuations in the levels of watersheds, it is of great importance because it allows you to adjust predictions about behaviors that can lead to floods or droughts. The Cauca River is one of the most important rivers in Colombia due to its 1350km long, its drainage area of 59.074km2 which represents 5% of the national territory. The Government entity Cormagdalena records daily levels of the Cauca River to the height of La Mojana in the rods. From these data, we developed a series of time on which normal test were applied to calculate the coefficient of Hurst and the fractal dimension to determine the persistence associated with this behavior.