Abstract
Daily rainfall at one site is synthesized in two stages: first by random selection of duration of alternating wet and dry spells and secondly, by a Markov chain of daily rainfall amounts within each wet spell. Extension of the single-site sequence to other sites may be tackled by sampling from historical patterns but is more elegantly achieved by multivariate versions of the Markov chain. A ‘magic carpet’ rainfall model offers an alternative multi-site generation process, which combines stochastic storm occurrences with deterministic evolution of individual storms and preset motions across a river basin.
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