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Simulation analysis

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Because of the initial absence of real data, the first part of the study was performed by means of simulations. A fictional dataset, representing as closely as possible what happens in reality, was generated by varying considerably the number of parameters and samples in the index calculation.

To do so, we used a file, containing a summary (mean, standard deviation, minimum and maximum value) of each parameter for 81 stations in the Ontario region in 1990. The 90th percentile, based on a 15-year period, has been used as a guideline for the standard deviation calculation. Moreover, the study was performed on data, generated from two distributions (normal and log-normal), which gave, essentially, the same results.

Comparing the results, obtained from the simulation with those obtained with the real dataset, we noted that the results were similar. In order to make the document shorter, we do not present the results obtained from the simulation.