This study makes a unique contribution to applied game theory and to the studies of Shiji (Records of Grand Historian) and the Warring States Period of ancient China (453-221B.C.) by constructing and analyzing the annual series of alliance structures or partitions of the seven states during the period of two hundred thirty three years. It shows that twenty six of the eight hundred seventy seven possible partitions were observed, and that the three most frequent partitions were the finest partition (146 years), partitions with four singletons and one three-member coalition (63 years), and partitions with five singletons and one two-member coalition (33 years). Such quantitative results have future applications in alliance studies, game theory, and international economics. They also provide a list of future research topics such as the unknown statistical properties of a series of partition of seven elements with 233 observations.

The United States Weather Bureau had published Technical Paper No. 40 (TP-40) in 1961 which provides a rainfall atlas for the United States. These rainfall frequencies have been used by engineers throughout the United States including Jefferson Parish, Louisiana. Rainfall from Audubon and the New Orleans International Airport rain gauge stations were used with the Log Pearson Method to provide rainfall frequency for Jefferson Parish, Louisiana. The results from the frequency rainfall that were developed for this research along with the current Jefferson Parish design storm rainfall were applied to a typical urban development to evaluate the extent of flooding.