We integrated unique high temporal resolution hydrometric and isotope data to calibrate a catchment-scale conceptual flow-tracer model representing the two main landscape units of hillslopes, and depressions (with fast and slow flow systems) for cock-pit karst terrain. The model could track hourly water and isotope fluxes through each landscape unit, and we could estimate the associated storage and water age dynamics. This inferred that the fast flow reservoir in the depression had the smallest storage, the hillslope unit was intermediate, and the slow flow reservoir had the largest. The estimated mean ages of the hillslope unit, fast and slow flow reservoirs were 137, 326 and 493 days, respectively. Marked seasonal variability in hydroclimate conditions and associated water storage dynamics were the main drivers of non-stationary hydrological connectivity between the hillslope and depression. Meanwhile, the hydrological connectivity between the slow and fast slow reservoirs had reversible directionality, which was determined by the hydraulic head within each medium. Sinkholes can make an important hydrological connectivity between surface water and underground stream flow in the fast reservoir after heavy rain. New water recharges the underground stream via sinkholes, introducing younger water in the underground stream flow.