Effect of reproductive compensation and the desire to have male offspring on the incidence of a sex-linked lethal disease

The effects of reproductive compensation of an X-linked recessive lethal are examined. Complete compensation without regard to the sex of the offspring increases the incidence of female carriers by a factor of 1.5, and of affected males by 1.33. However, if families reproduce until they have a healthy male offspring, the incidence of the X-linked lethal can be increased two or three orders of magnitude. Even only 1% of the population reproducing until a male is born can inflate the incidence of the disease by an order of magnitude, provided this pattern of family planning is culturally inherited. Similarly, reproducing until there is at least one child of each sex increases the incidence of an X-linked lethal. The impact of these types of sex-biased family planning on the fraction of new mutants among affected males is discussed.