Fractal characteristics of transportation network of Tianjin city

It is very important to study the distribution of transportation network based on fractal characteristics. In this paper, we calculate the Length-radius dimension of transportation network of Tianjin city with the help of the software Mathematica, whose results mean that the transportation network of the city has fractal characteristics. The value of length-radius dimension is 1.6403, which shows that the transportation network of the city is close to maturity. The box dimension of different districts of the main city has also been calculated at the scale of 100 to 600 m in this research and the results show that the value is between 1.5027 and 1.6312. It can be concluded that Heping district is the region with the biggest density, most complex structure, best connectivity and most mature function of transportation network in the whole city. According to the study, we obtained that the combination of length-radius dimensions and box dimensions enables the comprehensive analysis of spatial pattern characteristics of density, structure, connectivity and function of transportation network.