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The intimate relationship among ventilation, transit-time distributions, and transient tracer budgets is analyzed. To characterize the advective-diffusive transport from the mixed layer to the interior ocean in terms of flux we employ a cumulative ventilation-rate distribution, ⌽(), defined as the one-way mass flux of water that resides at least time in the interior before returning. A one-way (or gross) flux contrasts with the net advective flux, often called the subduction rate, which doesdoi:10.1175/2006jpo3471.1 fatcat:nnqzjalsobadzkqwjd2ez33wia