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We present a framework for consistent incorporation of optically-stimulated luminescence dates with cosmogenic radionuclide concentrations measured in a single alluvial section, and apply it on two late Quaternary terraces in the Negev Desert, Israel, to derive constraints on their evolution. We solve an integrated, self-consistent and co-dependant set of equations to reproduce either dataset based on three model parameters of (i) uniform cosmogenic inheritance, (ii) constant terrace aggradation rate and (iii) subsequent exposure time. A subset of all possible parameter combinations, which approximates the measurements within the uncertainties of their best-fits, yields a better constraint of the alluvial history than that obtained by any of these dating proxies alone. The derived set of common solutions indicates similar paleo-inheritances of similar to 1 x 10(5) (10)Be atoms g(-1) in both terraces; progressive deposition of the higher terrace (T2) began at similar to 250 ka, lasted for a period of similar to 80 ka, was abandoned at similar to 170 ka and since that time has remained intact; the lower terrace (T1) was most likely deposited at similar to 3 ka and rapidly abandoned by similar to 2 ka. In an alternative interpretation for 12, which treats the two geochronometers separately, this terrace might have experienced discrete events of aggradation at (216 +/- 13) ka and deep truncation at 118(-29)(+42) ka, significantly separated in time. In the currently active channel of the Neqarot canyon, contemporary stripping of the lowest terrace located along the stream is suggested by decreasing values of (10)Be downstream along the river channel. (c) 2010 Elsevier B.V. All rights reserved.