摘要
为了深入研究中国航线网络分形特征,通过长度-半径维数计算及长度测算方法构建了全国和区域的无权和加权航线网络,并从城市节点、全国航线网络、地理区域及机场群区域航线网络等几个方面进行了实证分析。结果表明,无权和加权的全国航线网络的分形维数为1.540 0和1.488 1;北方地区、南方地区、西北地区、青藏地区的无权航线网络分形维数为1.573 4、1.679 4、0.971 1、0.980 0,区域加权航线网络的分形维数为1.244 0、1.621 3、0.883 0、0.982 9;4个机场群无权航线网络的分形维数为1.118 1、1.154 4、1.020 7和1.218 0,加权网络的分形维数为0.930 3、0.893 5、0.957 6、1.166 3。可知,中国航线网络具有明显的分形特征,是典型的多枢纽网络。此外,各个区域的航线网络密度分布不均匀,呈现的分形特征也不同。北方地区和南方地区的航线网络都属于多枢纽网络,航线密度较高,而青藏地区和西北地区则体现出单极网络结构,航班运行更加依赖枢纽机场的中转作用。京津冀、长三角、珠三角3个机场群的航线高度集中于各自枢纽中心,呈现单极枢纽形态,而成渝机场群未形成绝对枢纽主导的加权航线网络结构。
To conduct an in-depth study of the fractal characteristics of China's airway network,unweighted and weighted national and regional airway networks were constructed through length-radius dimension calculations and length measurement methods.Empirical analyses were then performed from several perspectives,including urban nodes,national airway networks,geographical regions,and regional airway networks within airport clusters.The results show that the fractal dimensions of the unweighted and weighted national air route networks are 1.5400 and 1.4881,respectively.For the unweighted air route networks in Northern China,Southern China,Northwest China,and Qinghai-Xizang region,the fractal dimensions are 1.5734,1.6794,0.9711,and 0.9800,while those of the regional weighted air route networks are 1.2440,1.6213,0.8830,and 0.9829.The fractal dimensions of the unweighted air route networks of the four airport clusters are 1.1181,1.1544,1.0207,and 1.2180,and the corresponding values for the weighted networks are 0.9303,0.8935,0.9576,and 1.1663.The results indicate that China's air route network exhibits obvious fractal characteristics and is a typical multi-hub network.In addition,the density distribution of air route networks in various regions is uneven,and the displayed fractal characteristics are also different.The air route networks in Northern China and Southern China both belong to multi-hub networks with high route density,while the Qinghai-Xizang Region and Northwest China show a unipolar network structure,where flight operations rely more on the transfer function of hub airports.The air routes of the three airport clusters(Beijing-Tianjin-Hebei,Yangtze River Delta,and Pearl River Delta)are highly concentrated in their respective hub centers,presenting a unipolar hub pattern.In contrast,the Chengdu-Chongqing Airport Cluster has not formed a weighted air route network structure dominated by an absolute hub.
作者
王飞
任永仕
WANG Fei;REN Yong-shi(College of Air traffic Management,Civil Aviation University of China,Tianjin 300300,China)
出处
《科学技术与工程》
北大核心
2026年第9期3947-3954,共8页
Science Technology and Engineering
基金
国家重点研发计划(2023YFB4302903)
天津市自然科学基金(24JCYBJC01170)。
关键词
民航运输
航线网络
分形
长度-半径维数
air transportation
airline network
fractal
length-radius dimension
