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=== Quantile Mapping and Bias Correction === A widely utilized non-linear approach is '''Quantile Mapping (QM)''', frequently deployed as part of Bias-Correction Spatial Disaggregation (BCSD) workflows. Rather than adjusting only the mean, quantile mapping aligns the entire cumulative distribution function (CDF) of the modeled variable with the CDF of the observed station data. By matching percentiles, quantile mapping effectively corrects systematic GCM biases across different intensities. For instance, if a GCM consistently underpredicts extreme precipitation events (the 99th percentile) while overpredicting light drizzle days, quantile mapping remaps the model's distribution curve to match the historical observational profile of the specific catchment area.
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