Abstract: Combining the special evolving characteristics of the high-speed railway and civil aviation compound network, an evolution model which has two stages with variant growth mechanism and variable parameters is constructed, and the rationality of the model is verified through mathematical simulation. The model divides the evolutionary process into two stages: the stage of single-point growth pattern, and the stage of variant and alternant growth pattern. The probability of two sub-networks’ random and commutative growth could be controlled by changing the parameters’ values, and then the evolving rhythm and scale of the compound network could be adjusted. The simulation results indicate the truncated power law degree distribution, the negative and power law relationship in clustering factor-degree correlation with the different variable parameters, which matches the results in the empirical compound network studies. The evolving growth mechanisms of the compound network are well depicted, and this evolution model could offer some references for researches on other compound networks’ evolution.

Key words: complex networks, high-speed railway and airline compound network, two-stage evolution with variant growth mechanism, simulation experiment