Table 2 conveys information about the number of possible words that appeared each year at each station. As can be understood, during the study period (2002-2017), in 2002, 2007, 2008, and 2015 only one pattern of words was observed (i.e. 00) which means that the maximum discharge in each single day throughout those years was less than the threshold. In contrast, in 2004, 2006, 2010, and 2017, four different words were observed, telling that the occurred floods were greater than the threshold value and high enough so that persisted for at least two consecutive days. Table 3, on the other hand, reports the metric entropy and the effective measure complexity contents. The results in Table 3 shows that in 2002, 2007, 2008, and 2015, the computed metric entropy was 0, which means that there was no entropy (randomness), and hence, there is neither information nor complexity. It can be distinguished that if three different words were observed, it yields that at least one day flood event occurred, correspondingly, the other values of information and complexity contents give additional descriptions about the frequency and amount of the occurred floods. Generally, during the years of this study, three different words were reported (i.e. 00, 01, 10), and in some years 4 days indicating that floods in this mountainous region are an important challenge and hence there are additional actions must be taken to mitigate and minimize flood implications.
Finally, to elucidate the efficiency of this method, let’s consider the results recorded at the Ozekiyama station as an example. In one hand, in 2004, it was reported that three flood events were recorded as (11) and another three events as (01) and similarly three events as (10). The estimated metric entropy and effective measure of complexity as can be seen in Table 3 are 0.1 and 0.07, respectively. on the other hand, in 2006, it was documented that two flood events were recorded as (11) and three flood events as (01) also another three events as (10). In this case, the metric entropy and the effective measure of complexity as estimated in Table 3 are 0.09 and 0.03 respectively, which reflect the merit of this approach to sort out the different information about the documented floods.