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Study region: It refers to the time series analysis of streamflow patterns in the six principal rivers of the Canal of Panama. Study focus: Using recent time series modeling techniques in fractional or I(d) frameworks, it offer an insight into the hydrology of the Panama Canal watershed. Objectives: The main objective is to determine if the river flows at the Canal of Panama watershed display long memory, and based on that, investigate if significant trends are present across time. Novelty: The use of updated time series techniques in the analysis of long memory and time trends in river flow data. New hydrological insights for the region: The results first indicate that long memory is present in all cases, with no significant trends whatsoever. While some series display evidence of seasonality, they are all mean-reverting. The implication of the results obtained is that climatological or hydrological shocks affecting these river streamflows may take a longer time to disappear.