Expected Effects on the Inbreeding Coefficient and Rate of Gene Loss of Four Methods of Reproducing Finite Diploid Populations

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Abstract
Two restrictions on methods of mating often used in maintaining control populations for experiments in genetics are: each breeding parent is represented by one offspring of each sex in the subsequent generation; no matings are allowed between full-sibs. The effects of applying these restrictions, either singly or together, are examined from a theoretical viewpoint. When the restrictions are imposed singly, the equal number restriction is shown to be the more effective in maintaining a control population, with a smaller inbreeding coefficient (after the 1st few generations, when it is slightly higher), and a lower rate of gene loss. When both restrictions are imposed, gene loss is greater than that obtained when only the equal number restriction is applied. From a longterm viewpoint, a comparison of these 2 systems shows that application of both restrictions also results in a higher inbreeding coefficient. Initially, however, it gives a lower inbreeding coefficient; the generation at which the reversal occurs is dependent upon the size of the population. Implications with respect to the use of control populations for various purposes are discussed.

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