We revisit the recursive model for the fragmentation of polarized quarks based on the string +P30 mechanism of qq pair creation. We make a different choice for one input function of the model that simplifies the implementation in a Monte Carlo program. No new parameters are introduced, and the relevant results are the same apart from the suppression of the spin-independent correlations between successive quarks. The advantage of the present version is that it allows us to study analytically the preservation of positivity bounds and it is more suitable for an interface with external event generators like PYTHIA. The theoretical aspects and the simulation results obtained with a stand alone program are discussed in detail and compared with those of the previous version of the model.
