Читать книгу Principles of Plant Genetics and Breeding - George Acquaah - Страница 156

The effect of a gene is said to be additive when each additional gene enhances the expression of the trait by equal increments. Consequently, if one gene adds one unit to a trait, the effect of aabb = 0, Aabb = 1, AABb = 3, and AABB = 4. For a single locus (A, a) the heterozygote would be exactly intermediate between the parents (i.e. AA = 2, Aa = 1, aa = 0). That is, the performance of an allele is the same irrespective of other alleles at the same locus. This means that the phenotype reflects the genotype in additive action, assuming the absence of environmental effect. Additive effects apply to the allelic relationship at the same locus. Furthermore, a superior phenotype will breed true in the next generation, making selection for the trait more effective to conduct. Selection is most effective for additive variance; it can be fixed in plant breeding (i.e. develop a cultivar that is homozygous).

 Additive effectConsider a gene with two alleles (A, a). Whenever A replaces a, it adds a constant value to the genotype:Replacing a by A in the genotype aa causes a change of a units. When both aa are replaced, the genotype is 2a units away from aa. The midparent value (the average score) between the two homozygous parents is given by m (representing a combined effect of both genes for which the parents have similar alleles and environmental factors). This also serves as the reference point for measuring deviations of genotypes. Consequently, AA = m + aA, aa = m − a, and Aa = m + dA, where aA is the additive effect of allele A. This effect remains the same regardless of the allele with which it is combined.

 Average effectIn a random mating population, the term average effect of alleles is used because there are no homozygous lines. Instead, alleles of one plant combine with alleles from pollen from a random mating source in the population through hybridization to generate progenies. In effect the allele of interest replaces its alternative form in a number of randomly selected individuals in the population. The change in the population as a result of this replacement constitutes the average effect of the allele. In other words, the average effect of a gene is the mean deviation from the population mean of individuals that received a gene from one parent, the gene from the other parent having come at random from the population.

 Breeding valueThe average effects of genes of the parents determine the mean genotypic value of the progeny. Further, the value of an individual judged by the mean value of its progeny is called the breeding value of the individual. This is the value that is transferred from an individual to its progeny. This is a measurable effect, unlike the average effect of a gene. However, the breeding value must always be with reference to the population to which an individual is to be mated. From a practical breeding point of view, the additive gene effect is of most interest to breeders because its exploitation is predictable, producing improvements that increase linearly with the number of favorable alleles in the population.