Use Of Related Groups Research Articles

A theory of natural selection incorporating interaction among individuals. IV. Use of related groups of inbred individuals

The present series of papers attempts to accommodate interaction among individuals in evolutionary theory. The interaction phenomenon is genetically characterized by two dimensions (direct and associate) of gene activity. For optimal selection results, a balance between the two dimensions must occur. In the first paper of the series, it was shown that random interactions resulted in an unbalanced selection response in that the direct, but not associate, effects were included in the expression for gene frequency change. The next three papers of the series (II, III and IV) were designed to determine whether or not selection with life-history models that involved non-random interactions would be useful in ameliorating the problem of selection balance. In the present study, two kinds of non-random gene association are analyzed jointly by restricting interactions to related individuals that are derived from inbred base populations. The analyses are generalized to accommodate heterogeneous as well as homogeneous groups of interacting individuals. The joint contributions of inbreeding and consanguinity to selection response are analysed by use of the nine gene-identity parameters devised by Harris. It is demonstrated that consanguinity alone or in conjunction with inbreeding does improve selection balance. However, inbreeding alone does not. Also, the influence of inbreeding is not dependent on group size, whereas the influence of consanguinity is conditioned by the size of the group. Thus, by introducing associate effects into the selection process, the use of related groups can provide the genetical bases for the evolution of social behavior phenomena such as altruism.

A theory of natural selection incorporating interaction among individuals. II. Use of related groups

The present series of studies attempts to accommodate interaction among individuals in evolutionary theory. The interaction phenomenon is characterized by two dimensions (direct and associate) of gene activity. For optimal selection results, a balance between the two dimensions must occur. In the first paper of the series, it was shown that random interactions resulted in an unbalanced selection response. The expression for gene frequency change involved direct, but not associate, effects. The next three papers of the series (II, III and IV) are designed to explore the possibility that restricting interactions to certain non-random patterns may ameliorate the problem of selection balance. In the present study the interactions are restricted to related individuals in a population that is in Hardy-Weinberg equilibrium. A preliminary analysis in which interactions are restricted to full-sibs is made. This analysis is extended to the more general case in which interactions occur among related individuals of any class whose coefficient of relationship is measured by ‘ r’. The classical pairwise interaction results of Hamilton are verified and extended to include interactions among individuals in groups of arbitrary size, n. Restricting interactions to related individuals tends to improve the condition of selection balance. It does this by introducing associate effects into the expression for gene frequency change. The extent to which this is accomplished is a function of the coefficient of relationship ( r), and the number of interacting genotypes.