This paper reviews several different single- and multi-site generation models to complement those papers in which the models are developed but not applied. Initially the historical time series is looked at using various time series techniques, including correlograms and spectral analyses, to determine whether a lag one Markov model will satisfactorily represent the historical data.
The single site models which are examined include an empirical model using the historical probability distribution of the random component, the Thomas and Fiering model using both logarithms of the data and Matalas' log-normal transformation equations, and finally Moran's Gamma distribution. Matalas' Residual method with several probability distributions and Moran's Multivariate Gamma technique are used in the multi-site analysis. All models are applied to the streams of the Melbourne metropolitan water supply system.
