Methods for preserving duration-intensity correlation on synthetically generated water-demand pulses

Abstract

This paper proposes the application of three different methods for preserving the correlation between duration and intensity of synthetically generated water-demand pulses. The first two methods, that is, the Iman and Conover method and the Gaussian copula, respectively, are derived from known statistical approaches, although they had never been applied to the context of demand-pulse generation. The third is a novel methodology developed in this work and is a variation in the Gaussian copula approach. Poisson models fitted with the methods are applied to reproduce the measured pulses in one household, with parameters being obtained with the method of moments. Comparisons are made with another method previously proposed in the scientific literature, showing that the three methods have similar effectiveness and are applicable under more general conditions.