Abstract:
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We proposed a model for statistical downscaling via conditional simulation. Our method is based on a spatial mixed effects (SME) model with parameters calibrated to coarse-scale computer model output. In particular, the spatial dependence present in the coarse-scale output is inherited in the SME model and thus in simulation. Moreover, the simulated values at high spatial resolution are generated through conditional simulation so that when aggregated they are consistent with the coarse-scale model output. In addition, the dimension is reduced in the SME model so that large spatial output can be dealt with, while the SME model is also able to incorporate nonstationary spatial dependence. We demonstrate our approach by producing downscaled high-resolution fields from output of atmospheric carbon dioxide (CO2) from the PCTM/GEOS-4 atmospheric model.
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