How many and from where? Assessing the sensitivity of exposure durations calculated from paired bedrock 14C/10Be measurements in glacial troughs

We present a sensitivity analysis of the isochron approach of Goehring et al. (2013) for paired measurements of in situ14C/10Be from glacially sculpted bedrock surfaces. This analysis tests how sensitive the resulting exposure durations from this technique are to both the number of samples analyzed and their locations along a glacial trough transect, using a dataset from Goehring et al. (2011) as a test case. A simple equally weighted combinatorial approach was employed to (1) generate non-repetitive combinations of n subsets of samples arranged from the ten possible samples (where n < 10), and (2) estimate the exposure duration and uncertainty for each set of simulations. Results from the Goehring et al. (2011) data indicate that five samples evenly distributed along a transect parallel to the ice margin are the minimum number of samples required for this method, while eight or more samples provide an optimal combination of accuracy and precision at the 1σ level. These findings should be applicable to paired in situ14C/10Be measurements from other polished bedrock troughs at glacial margins, but need further experimental confirmation.