<p>In this paper, the limiting behavior of trajectories ω(x^0 )={x^0,Vx^0,V^2 x^0,…} of the genetic operator for 17 Y-STR loci (DYS456, DYS389I, DYS390, DYS389II, DYS458, DYS19, DYS385a/b, DYS393, DYS391, DYS439, DYS635, DYS392, Y GATA H4, DYS437, DYS438 and DYS448) alleles without calculating the occurrence of mutations for the population.</p>