Thanks to Anne Schindler for discussing the manuscript.
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The empirical equivalent of the marginal density distribution is the histogram of the observations.
Recent covariate-dependent quantile mapping may be applied with randomization (Kallache et al. 2011).
The variance correction can be seen as a special case.
The fact that the perfect boundary-driven RCMs do not capture the observed trends is likely because of the driving reanalysis data (Bengtsson et al. 2004; Thorne and Voss 2010). Repeating the analysis with the Royal Netherlands Meteorological Office (Koninklijk Nederlands Meteorologisch Instituut; KNMI) Regional Atmospheric Climate Model, version 2 (RACMO2), yields similar results.