港口水域船舶航路网络复杂度

Complexity of Waterway Networks in Port Waters

为描述港口水域船舶航路的复杂度,建立港口水域船舶航路网络模型。根据复杂网络理论,将度分布、平均路径长度、聚类系数和紧密度等作为指标,并结合港口水域船舶航路网络的特性,构建其航路网络复杂性指标体系。以某港口水域为例,构建港口水域船舶航路网络,并结合数值计算方法研究其复杂度。结果表明:航路网络的度分布基本服从幂律分布,具有无标度网络特性;航路网络的平均路径长度较小而聚类系数较大;航路网络的整体可达性较好,具有小世界网络的特性,且较脆弱。对此,应采取相关措施,保证船舶安全航行。

The model of waterway network in port waters are constructed to investigate the complexity of the waterway in port waters. The index system for waterway network complexity, which includes degree distribution, average path length, clustering coefficient, compactness, is set according to the characteristics of the waterway network and the complex network theory. An example port is investigated and the complexity of the waterway network is determined through numerical calcu- lation. The results of the example port investigation indicate that the degree distribution of ship routes network follows approximately the power-law distribution, typical for scale-free networks. The network has a small average path length and a relatively large clustering coefficient with the character of small-world network, featuring good accessibility but suffering vulnerability. Measures should be taken to ensure the navigation safety in the port.