  This letter matches the shape of the star formation intensity distribution
function to empirical laws such as the Schmidt law. The shape of the
distribution at a redshift of one is reproduced from the empirical Schmidt law
with a critical density, a Schechter distribution of galaxy masses and the
assumption that star formation occurs mainly in exponential disks. The shape of
the distribution depends primarily on two values, the characteristic mass m* in
the Schechter mass distribution and the characteristic radius re in the
exponential disk. As these characteristic values evolve they will affect the
shape of the distribution function. The expected direction of evolution of the
parameters partially cancels each other leaving the distribution shape
relatively invariant.
