6
counterparts in reality ( 1961, p.525 ). The explanation
is analogous to the well known explanation of the stature
of adult men as a random variable composed of a great
number of independent small random variables ; this
ex^Lains the normal distribution of height. The precise
identity of these small random variables is, here again,
not specified and rather speculative. This may perhaps
explain why this "synchronous" approach has not, so far,
found much resonance among economists.
The interest of the alternative approach ( Champernowne or
Yule ) of explaining the law as a steady state of
a stochatystic process is that it establishes a relation
between the stratification found in a cross section
and the past history which has produced it,and which is
mapped in the cross section. This is analogous to the
stratifications in geology and the rings in the trunk of
a tree. Irregularities or shifts in the empirical
distributions can according to this view be explained
\
by major disturbances of the process in certain points of
time in the past.
Concretely, the Pareto distribution has been shown^
in the case of a birth and death process model, to depend
on growth; in an economy which has always been stationary
it would not exist ( Steindl 1965 ). The Pareto coefficient
in such models is usually a ratio of growth rates; thus
in the case of firm size it is a ratio of the growth rate
of the number of firms to the growth rate of the firms
themselves ( Steindl 1965). The importance of new entry
as a factor making for less inequality has also been
shown, inter alia in the case of wealth ( Steindl 1972).