  Double parton scattering, occurring in high energy hadron-hadron collisions,
e.g. at the LHC, is usually investigated through model dependent analyses of
the so called effective cross section $\sigma_{eff}$. We present a dynamic
approach to this fundamental quantity making use of a Light-Front model
treatment. Within such a framework $\sigma_{eff}$ is initially evaluated at low
energy scale using the model and then, through QCD evolution, at high energy
scale to reach the experimental conditions. Our numerical outcomes are
consistent with the present experimental analyses of data in kinematical region
we investigate. An important result of the present work is the $x_i$ dependence
of $\sigma_{eff}$, a feature directly connected to double parton correlations
and which could unveil new information on the three dimensional structure of
the proton.
