We propose, and solve via Monte-Carlo simulation, a model describing evolut
ion of population subject to harmful mutations. The habitat changes periodi
cally. The evolution of two, initially identical, populations is compared.
One without any external ingerence and the second in which we eliminate all
individuals which are ill-fitted to the changed environment (eugenics). We
show that although in the short run the individuals in the latter are bett
er adapted and live longer, after some more changes of the environment, the
populations with eugenics become extinct, while the others live on.