Common Lognormal Behavior in Legal Systems

This study characterizes a statistical property of legal systems: the distribution of the number of articles in a law follows a lognormal distribution. This property is common to the Japanese, German, and Singaporean laws. To explain this lognormal behavior, tree structure of the law is analyzed. If the depth of a tree follows a normal distribution, the lognormal distribution of the number of articles can be theoretically derived. We analyze the structure of the Japanese laws using chapters, sections, and other levels of organization, and this analysis demonstrates that the proposed model is quantitatively reasonable.