In this work two different Lagrangian stochastic models for convective turb
ulence are compared and tested against the Indianapolis dataset. The two mo
dels are based on the generalized Langevin equation, whose coefficients are
solutions of the Fokker-Planck equation. The first model uses the bi-Gauss
ian probability density function (PDF) following Luhar and Britter (1989) a
nd the second one, proposed by us (Ferrero and Anfossi, 1998), is based on
the Gram-Charlier PDF. Both models are able to take into account up to the
third order moment of the wind velocity fluctuation vertical component and
make use of the Gaussian assumption in the horizontal directions. Basically
the two models here considered are different versions of our stochastic di
spersion model for flat terrain, LAMBDA. This means that plume rise is take
n into account and that the correct boundary conditions are used. The resul
ts obtained are presented and their differences discussed.