Fractal Dimensions of Road Networks in Amman Metropolitan Districts
Rana Ibrahim Abid, Ahmet Tortum, Ahmet Atalay
Abstract
This paper uses Benoit software to calculate and compare five types of fractal dimensions (Box Db, Perimeter Area Dp, Information Di, Mass Dm, and Ruler Dr) in 22 districts in the Greater Amman metropolitan area. Also, each calculated fractal dimension is regressed to the district’s area, built-up areas, population, total number of roads, total length of roads, buildings area and number of buildings with a log-linear function. The results show that the five types of fractal dimensions (FD) are between1 and 2. The average values of Db, Dp, Di, Dm and Dr are 1.66, 1.25, 1.69, 1.72 and 1.15. In the same district, the values of Dp and Dr are lower than the values of Db, Di and Dm, while the values of Db and Di are higher. The values of Dm show unevenness compared with the value of Db and Di. Statistical analysis shows strong correlation between the following pairs: Db and each of Log population and Log Buildings area. Dp and Log population. Di and each of Log population, Log number of roads, Log Buildings area and Log number of buildings. Dm and Dr show insignificant correlation with all variables.