tokens: , and references therein) also been explained as a possible delayed effect (not perfectly stable thermohaline circulation) of the deglaciation in the carbon cycle (e.g., Muscheler et al. 2004 ). However, as we show here, this explanation is unlikely for two reasons. More details of the long-term relation between the series are shown in Fig. 9 , where we plot the pairwise wavelet coherence between the modulation potential (shown in Fig. 12 ) from the three long series. Panel a shows that the EDML series is coherent with the 14 C series at all timescales shorter than ≈2000 yr and again (but insignificantly) longer than 4000 yr, while no coherence exists between 2000 and 4000 yr. The GRIP-based series (panel b) is well coherent with the 14 C one on timescales longer than 100–200 yr, and the coherence disappears at timescales longer than 2000–3000 yr. The two 10 Be are hardly coherent with each other on timescales longer than 1000 yr (panel c), with a small insignificant isle of coherence beyond the cone of influence. It is noteworthy that each of the 10 Be series exhibits a higher coherence with the 14 C one than with each other. A similar conclusion was made by Usoskin et al. (2009) using different 10 Be data series. A reason for this discrepancy is yet to be discovered. Since the reason for this discrepancy is unknown, we did not correct for it. In the following we apply fixed coefficients for 10 Be series, thus keeping the long-term variability as it exists in the original data. It is interesting that while the coherence between EDML- and 14 C-based reconstructions has been improved compared to the coherence between the raw data series ( Fig. 4 ), the coherence is degraded for the GRIP series (panels b) in timescales longer than 2000 yr. This suggests that beryllium may be better mixed for Greenland than was derived through the applied beryllium transport parametrization based on Heikkilä et al. (2009) . The reconstruction based on the 14 C series has no residual correlation with VADM ( R 2 0.01). A new full-size model of the atmospheric transport and deposition of 10 Be in polar regions, particularly in Greenland, is needed to resolve the issue. 4.4 Reconstructions from individual series Two beryllium series, GRIP and EDML, were used here for a preliminary assessment of this method for their overlap. The mean modulation potential for the period 6800 BC–700 AD based on radiocarbon is ⟨ φ 14C ⟩ = 0.468 GV. First, we scaled each 10 Be series individually with a free scaling factor κ 0 and reconstructed the series of φ . The values of κ 0 were defined such that the mean value ⟨ φ 10Be ⟩ is equal to that for 14 C for the same period. The scaling factor we found for the GRIP data is close to unity, κ 0 = 1.1. This implies that 14 C and 10 Be data are fully consistent in the framework of the model, and that our modeling of the cosmogenic isotope production and transport or deposition is appropriate. The best-fit scaling factor for EDML is κ 0 = 0.8,
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