Modeling of rainfall time series and extremes, using bounded random cascades and Levy-stable distributions

M. Menabde, M. Sivapalan

    Research output: Contribution to journalArticle

    110 Citations (Scopus)

    Abstract

    A new model for simulation of rainfall time series is proposed. It is shown that both the intensity and duration of individual rainfall events can be best modeled by a "fat-tailed" Levy-stable distribution. The temporal downscaling of individual events is produced by a new type of a bounded random cascade model. The proposed rainfall model is shown to successfully reproduce the statistical behavior of individual storms as well as, and in particular, the statistical behavior of annual maxima. In contrast, a model based on a gamma distribution for rainfall intensity substantially underestimates the absolute values of extreme events and does not correctly reproduce their scaling behavior. Similarly, a model based on self-similar random cascade (as opposed to the bounded cascade) substantially overestimates the extreme events.
    Original languageEnglish
    Pages (from-to)3293-3300
    JournalWater Resources Research
    Volume36
    Issue number11
    DOIs
    Publication statusPublished - 2000

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