The present invention relates to a method for producing a transgenic non human male animal, preferably a mammal, fish, bird or insect, wherein the transgene(s) confer(s) a change in the transmission ratio of (a) genetic trait(s) to the offspring of said non human male animal, preferably mammal, fish, bird or insect to a non-Mendelian ratio, said method comprising introducing (a) a first nucleic acid molecule encoding an expression product with a Responder function into a chromosome of a non-human germ cell, (fertilized) egg cell, embryonic cell or a cell derived therefrom, of the same species as the transgenic male to be prepared, said chromosome containing or conferring said genetic trait(s), thereby linking on said chromosome said Responder function to the genetic trait(s); and (b) at least one second nucleic acid molecule encoding an expression product with a Distorter function into (a) chromosome(s) of a non-human germ cell, (fertilized) egg cell, embryonic cell or a cell derived therefrom, of the same species as the transgenic male to be prepared, wherein said expression product with a Distorter function is a factor involved in G protein signaling, wherein said first nucleic acid molecule encoding an expression product with Responder function and said at least one second nucleic acid molecule encoding an expression product with a Distorter function are introduced into the same or different chromosomes.