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Given the recent prevalence of periodical container liners, the applicability of related models of widely applied queuing theory is left in doubt. Since they focus on marine liners, the distribution pattern is always considered to be a deterministic distribution for periodical schedule. In order to investigate the distribution patterns of container liners, observation units are segmented into single shipping liners, single berths, single container terminals and entire ports. The evolution of the ship arrival distribution pattern and the goodness-of-fit test for observation are based on the ship dynamic data of international harbors in Taiwan. This study aims to implement tests for public and dedicated container berths by comparing the variance in the patterns and characteristics of the ship arrival distributions. The ship inter-arrival distribution in the foregoing systems was found to follow the Erlang distribution; its distribution coefficient (k), changed by observation system, tends to decrease as the system's scale grows.