Area decay law implementation for quark string fragmentation.

We apply the Area Decay Law (ADL) straightforwardly to simulate a quark string hadronization and compare the results with the explicit analytic calculations. We show that the usual " inclusive " Monte–Carlo simulations do not correspond to the ADL because of two mistakes: not proper simulation of two–dimensional probability density and lack of an important combinatorial factor in a binary tree simulation. We also show how to simulate area decay law " inclusively " avoiding the above–mentioned mistakes.