Posts Tagged ‘Visualization of statutes’

Boulet, Mazzega, and Bourcier on A Network Approach to the French System of Legal Codes Part 1

December 30, 2011

Dr. Romain Boulet of UMR ESPACE-DEV, IRD; Dr. Pierre Mazzega of UnB/IRD and UPS (OMP), CNRS, IRD; and Dr. Danièle Bourcier of CERSA CNRS, have published A network approach to the French system of legal codes—part I: analysis of a dense network, Artificial Intelligence and Law, 19, 333-355 (2011). Here is the abstract:

We explore one aspect of the structure of a codified legal system at the national level using a new type of representation to understand the strong or weak dependencies between the various fields of law. In Part I of this study, we analyze the graph associated with the network in which each French legal code is a vertex and an edge is produced between two vertices when a code cites another code at least one time. We show that this network distinguishes from many other real networks from a high density, giving it a particular structure that we call concentrated world and that differentiates a national legal system (as considered with a resolution at the code level) from small-world graphs identified in many social networks. Our analysis then shows that a few communities (groups of highly wired vertices) of codes covering large domains of regulation are structuring the whole system. Indeed we mainly find a central group of influent codes, a group of codes related to social issues and a group of codes dealing with territories and natural resources. The study of this codified legal system is also of interest in the field of the analysis of real networks. In particular we examine the impact of the high density on the structural characteristics of the graph and on the ways communities are searched for. Finally we provide an original visualization of this graph on an hemicyle-like plot, this representation being based on a statistical reduction of dissimilarity measures between vertices. In Part II (a following paper) we show how the consideration of the weights attributed to each edge in the network in proportion to the number of citations between two vertices (codes) allows deepening the analysis of the French legal system.

Bommarito & Katz on Measuring the Complexity of the Law: The United States Code

August 2, 2010

Michael J. Bommarito II and Daniel Martin Katz, both of the University of Michigan’s Center for the Study of Complex Systems and creators of the Computational Legal Studies blog, have posted a new visualization entitled Measuring the Complexity of the Law: The United States Code. The visualization is part of their new paper, A Mathematical Approach to the Study of the United States Code, forthcoming in Physica A, Vol. 389, 2010.

The authors describe the visualization as follows:

With this representation in place, it is possible to measure the size of the Code using it various structural features such as its vertices V and its edges E. It is possible to measure the full Code at various time snapshots and consider whether the Code is growing. Using a limited window of data, we observe growth in not only the size of the code but also its network of dependancies (i.e. its citation network). [...]

Of course, growth alone is not precisely analogous. Indeed, while we believe in general the size of the code tends to contribute to “complexity” that some additional measure or measures are needed. Thus, our paper conducts various structural measurements such number of sections, section sizes, etc.

In addition, we use the well known Shannon Entropy measure (borrowed from Information Theory) to evaluate the “complexity” of the message passing / language contained therein.

Katz & Bommarito’s Visualization of the Complete United States Code

September 14, 2009

Daniel Martin Katz & Michael Bommarito, both of the University of Michigan’s Center for the Study of Complex Systems, have completed their visualization of the structure of the entire United States Code, published at their Computational Legal Studies blog. This is another example of their exciting and innovative work — discussed in this earlier post — respecting the graphic depiction of quantitative legal information.


Follow

Get every new post delivered to your Inbox.

Join 96 other followers

%d bloggers like this: