Original sentence: & Nosil, P.1558-5646.2007.00179.Bolnick D.Evolution, Advance access, doi:10.1111/j.Fisher's fundamental theorem is uncontroversial (Bolnick, 2007), but due to confounding factors, tests of it are quite rare.For a good example of this effect in a natural population, see (Bolnick, 2007).Natural Selection in Populations Subject to a Migration Load
Edited sentence: A Genetic algorithm that may carry out – by the aid of a certain theorem - a maximization of phenotypic variances (average information) keeping, for instance, the mean fitness constant is Gaussian adaptation.As a random process one would expect evolution to increase the phenotypic variances according to the second law of thermodynamics (entropy law) dependent on the mutation rate.But unfortunately, Fisher’s fundamental theorem tells nothing about this.If this impact is taken into consideration, it may as well happen that evolution increases the variances (expanding the gene pool in a phenotypic landscape) keeping the mean fitness constant; or something like that.Obviously, such an increase in variances in the phenotypes of offspring (before selection) may cause a decrease in mean fitness.See also Kjellström 1996.See for instance Brooks 1986.So, a possible impact of the entropy law seems to be missing.This theorem is rather similar to the theorem of Fisher but differs in its ability to keep control over the increase in average information by an inheritable mutation rate