Intensity-dependence of interarrival times and run lengths in multifractal rainfall

Mass scaling of atmospheric precipitation has been successfully characterized by multifractal frameworks in the literature dedicated to this subject. However, the dependence of the statistics of interarrival times and run lengths on the employed detection threshold, as theoretically predicted by multiplicative cascade models with different degrees of multifractality, is yet another aspect of interest when such models are being used for the purpose of rainfall modelling. It must be noted that interarrival times and run lengths are complementary variables, by representing uninterrupted time intervals above and below the detection threshold, respectively. The present communication deals with the intricacies of parametrizing and validating those aspects of multifractal rainfall models.