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. Spatial and frequency distributions of precipitation should be considered indetermining design water demand of irrigation for a large region. InGuangdong Province, South China, as a study case, an eight-dimensional jointdistribution of precipitation for agricultural sub-regions was developed. Adesign procedure for water demand of irrigation for a given frequency ofprecipitation of the entire region was proposed. Water demands of irrigationin the entire region and its sub-regions using three design methods, i.e.,equalized frequency (EF), typical year (TY) and most-likely weight function(MLW), were compared. Results demonstrated that the Gaussian copulaefficiently fitted the high-dimensional joint distribution of eightsub-regional precipitation values. The Kendall frequency was better than theconventional joint frequency to analyze the linkage between the frequency ofprecipitation of the entire region and individual sub-regions. For givenfrequencies of precipitation of the entire region, design water demands ofirrigation of the entire region among the MLW, EF and TY methods slightlydiffered, but those of individual sub-regions of the MLW and TY methodsfluctuated around the demand lines of the EF method. The alterations ofdesign water demand in sub-regions were more complicated than those in theentire region. The design procedure using the MLW method in association witha high-dimensional copula, which simulated individual univariatedistributions, captured their dependences for multi-variables, and built alinkage between regional frequency and sub-regional frequency ofprecipitation, is recommended for design water demand of irrigation for alarge region.

Design water demand of irrigation for a large region using a high-dimensional Gaussian copula