## 4 Results
### Flight Cycle  
The flight departures from the US obtained from the Data World Bank [25], and how the flight cycles correlate with economic growth were studied. The US flight cycles (1980-2020) [29] are shown in Figure 17.  
The correlation between flight cycle and GDP growth (Table 1) and the correlation between flight cycle and inflation (Table 1) were studied. It can be seen from the above figure that GDP growth and flight cycles are uncorrelated; however, inflation and the  
Figure 16: US sabotage accident prediction observed (red), setting (bleu), and forecast (green) (1980–2025). Figure 17: US flight cycles (1980–2020). number of departures are highly negatively correlated. That is, we can see that the number of flights decreases when inflation rises. Table 2 presents an intriguing analysis of accident trends in the United States airspace from 1980 to 2021. The data reveal some fascinating insights into the frequency and nature of these incidents. On average, there were 32 accidents during this period, each presenting its unique circumstances and consequences. Upon further analysis, we find that, out of these accidents, an average of four occurred on the ground, while six took place during takeoff. Similarly, during the route and approach phases, the average number of accidents remained consistent at six. However, the most notable observation arises when we examine the landing phase, which recorded an average of 10 accidents--a relatively higher figure compared to other phases. On average, there were 89 victims associated with these accidents, with an average of 59 injuries. It is essential to note that these values display considerable variability over the 40-year period, as indicated by the respective standard deviation values. This fluctuation emphasizes the complex and dynamic nature of aviation safety. By examining the causes of these accidents, human factors emerged as the leading contributor, accounting for an average of 21 incidents. Environmental factors and technical issues followed, with averages of two and six accidents, respectively. Surprisingly, sabotage accounted for an average of only one accident, revealing the rare occurrence of intentional acts within the aviation domain. By delving deeper into the data, the calculation of the second quartile reinforces the trends observed in most variables studied. In general, there are close values between the average and the second quartile, signifying a consistent pattern over the years. However, when examining the variables \"Number of victims\" and \"Number of injuries\", a deviation from this trend is evident. In 50% of the years analyzed, the number of fatalities did not exceed 45, while the number of injuries remained below 29. This comprehensive analysis provides crucial insights into the accident patterns and consequences within the United States airspace over a substantial period. By understanding these trends, we can pave the way for enhanced safety measures and interventions, aiming to mitigate risks and ensure a safer aviation landscape for all stakeholders involved. The authors in [30] have also explored the potential of probabilistic and statistical analysis tools, specifically ARIMA models, in enhancing aviation safety levels. By organizing available accident data probabilistically and conducting time series analyses, the researchers were able to forecast future values and trends in the European territory, reaching results. The insights gained from this study can be utilized by various aviation entities for proactive accident prevention, particularly in identifying key operational risk areas.