Introduction: Models of observed daily weather sequences are frequently used in water engineering design, and agricultural, ecosystem or climate change simulations because observed ground-based meteorological data are often inadequate in terms of their length, completeness or spatial coverage. These statistical models are also known as ‘weather generators’ since they can fill missing data or produce indefinitely long synthetic weather series by simulating key properties of observed meteorological records (i.e., daily means, variances and co-variances, frequencies, extremes, etc.). To date, the majority of weather generators have focused on the precipitation process in recognition of the dominant control exerted by rainfall on many environmental processes, and due to the complexity of building internally consistent, multivariable models (Hutchinson, 1995). However, companion algorithms that simulate other meteorological variables are also in routine use.Rather than simulating rainfall occurrences day by day, spell-length models operate by fitting probability distributions to observed relative frequencies of wet and dry-spell lengths. This kind of model is sometimes called an ‘alternating renewal process’(Buishand, 1977; 1978; Roldan and Woolhiser, 1982), in that random numbers are generated alternately from the wet and dry spelllength distributions. That is, a new spell length (L) is generated only when a run of consecutive wet or dry days has come to an end, at which point a new spell of the opposite type is simulated.