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NON-ZERO LOWER LIMIT IN LOW FLOW FREQUENCY ANALYSIS?1
Authors:Semiu A Lawal  W Edgar Watt
Abstract:ABSTRACT: The implications of fitting distributions with non-zero lower limits to low flow data are examined. The 3-parameter Weibull distribution is fitted to annual minimum flow series from 60 long term stations in Canada. The relations between the estimated lower limit and three sampling variables (skewness, smallest, and largest observations) were investigated. The lower limit strongly depends on the sample skewness; it varies directly with the sample skewness, which in turn is highly influenced by the largest observation. For a given skewness, the value of the estimated lower limit is determined by the value of the smallest observation. Therefore, the lower limit cannot be accurately determined, and the resulting low flow estimates will be either too small or too high.
Keywords:modeling/statistics  low flows  3-parameter probability distributions  lower limit  maximum likelihood estimation  sample skewness  smallest observation  largest observation
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