Dynamic evolution of shipping network based on hypergraph

Abstract

This study aims to use evolutionary hypergraphs to explore the dynamic evolution mechanism of the shipping network. Firstly, an evolution model of the shipping network is constructed, in which nodes represent ports while hyperedges represent routes between ports. The evolution process includes the addition of new nodes, linking of old nodes, and rewiring of links. Then, based on Poisson process theory and continuum method, we obtained that the stationary average hyperdegree distribution obeys a shifted power law. Finally, the effects of different parameters on the model are tested. The results show that ports with a developed hinterland economy and great influence have obvious advantages in the evolution process, gathering a large amount of resource allocation. This model can provide a theoretical reference for the reasonable allocation of routes and the improvement of network efficiency.