The article explores different methods for measuring the complexity of river networks using fractal dimensions. The researchers tested three main estimators on both virtual and real river networks to see how well they work. They found that the correlation dimension method is useful for calculating a stable fractal indicator, especially when there are fewer river segments. They also discovered that it's important to determine an empirical fractal domain on a Log-Log curve to accurately estimate fractal dimensions for comparison. Overall, the study highlights the importance of understanding the uncertainty of fractal dimensions when analyzing river networks.