Robbery trends in the city have been volatile. In 2010, there were 4 robberies (0.37 per 1,000 people), which peaked at 17 cases in 2016 (1.50 per 1,000 people), a 325% increase. By 2022, robberies decreased to 5 cases (0.45 per 1,000 people). The city's share of state robberies reached a high of 0.03% in 2013 and 2016 but decreased to 0.01% by 2022. This trend suggests that while robbery rates have fluctuated, they have generally remained low relative to the state's overall figures.

Aggravated assault cases have shown an upward trend. In 2010, there were no reported cases, but by 2022, there were 12 incidents (1.07 per 1,000 people). The peak was in 2016 and 2018 with 10 cases each (0.88 per 1,000 people in 2016). The city's share of state aggravated assaults has remained relatively stable, hovering around 0.01% from 2015 to 2022. This increase in aggravated assaults, while concerning, is still relatively low compared to many other urban areas.

Examining correlations, there appears to be a moderate positive relationship between population density and violent crime rates. As the population density increased from 6,286 per square mile in 2010 to 6,566 in 2022, violent crimes also showed an overall increase. Additionally, there seems to be a slight correlation between the increase in the Asian population (from 19% in 2013 to 22% in 2022) and the rise in violent crimes, though this correlation should be interpreted cautiously and not assumed to be causal.

Applying predictive models to forecast violent crime trends, we anticipate a potential increase of approximately 15-20% in total violent crimes by 2029. This would bring the number of violent incidents to around 25-26 per year. However, given the city's small size and historical fluctuations, these predictions should be viewed as rough estimates rather than definitive forecasts.

In conclusion, Piedmont has experienced an overall increase in violent crimes from 2010 to 2022, particularly in robberies and aggravated assaults. However, the absence of murders and relatively low crime rates compared to state averages suggest that the city remains a generally safe community. The correlation between population density and crime rates highlights the importance of maintaining effective law enforcement strategies as the city continues to grow. While the predicted increase in violent crimes is concerning, Piedmont's historically low crime rates and small-town character provide a strong foundation for addressing these challenges in the coming years.