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This paper will discuss a recently proposed index for measuring seasonality, which is based on the solution of the well-known transportation problem. A specific characterization of the cost matrix will permit the taking into account of the cyclical structure of time periods, which characterizes the phenomenon under observation. Various features of the proposed index will be evaluated by comparing it with other indices which are commonly used in the measurement of seasonality, such as the Gini concentration index. Given the wide range of disciplines with an interest in the analysis of seasonal phenomena, the approach  proposed may be of wide interest.