Annual change of Pareto index dynamically deduced from the law of   detailed quasi-balance
  Employing data on the assessed value of land in 1983 -- 2005 Japan, we investigate the dynamical behavior in the high scale region of non-equilibrium systems. From the detailed quasi-balance and Gibrat's law, we derive a relation between the change of Pareto index and a symmetry in the detailed quasi-balance. The relation is confirmed in the empirical data nicely. 
Atushi Ishikawa