Abstract
It is shown that the parton branching distribution Pmn of m quarks and n gluons does not obey exact Kobu-Nielsen-Olesen scaling. When the quark evolution is neglected the probability distribution becomes wider as energy increases in agreement with experimental data. In this model it is predicted that the widening of the probability distribution will stop at Fermilab Tevatron Collider energies (16002000 GeV). Also given are theoretical predictions for the multiplicities and moments for Tevatron Collider energies.