Quasi-Statistically Varying Power-Law and Log-Normal Distributions

In this chapter, we show that when a system changes quasi-statically, the power-law and log-normal distributions, which change quasi-statically, are derived from Gibrat’s law in the large-scale range and from the non-Gibrat’s property in the mid-scale range. Then using Japan’s publicly announced land price data from 1974 to 2020, analytical discussions can be confirmed accurately.