The question is incomplete, the complete question is:
(a) Asian rice (Oryza sativa) is an important crop that can self-fertilize. At a particular locus, the three genotypes have the following frequencies:
AA = 0.36 AB = 0.48 BB = 0.16
What are the genotype frequencies after 2 generations of self-fertilization? What are the allele frequencies after 2 generations of self-fertilization?
(b) Other plants have a mixture of mating systems. This means they can self-fertilize or cross pollinate. Wild soybeans (Glycine soja) are an example of a plant having a mixed mating system. They self-fertilize approximately 87% of the time, but outcross 13% of the time.
Given the same initial genotype frequencies as stated above, what are the genotype frequencies after 2 generations of mating where 87% of the plants self-fertilize and 13% outcross? What are the allele frequencies after 2 generations of this mating?
Answer:
a. F1 0,36 0.48 0.16
F2 0.6 0.24 0.4
b.
Step-by-step explanation:
Self fertilization is very important/ ignificant inbreeding process takes place commonly in plants like cereals.
Here, pollen grains are transferred from the anther to the stigma on the same plant.
In self fertilization the progeny of homozygous will be homozygous and progeny of hetrozygous is half homozygous and half hetrozygous.So, going by this we can conclude that frequency of heterozygous is halfed every generation.
In the present situation the plant have following frequency of genotype AA,AB,BB
AA AB BB
0.36 0.48 0.16
p2+2pq+q2=1
0.36+0.48+0.16=1
p+q=1
p=0.36+0.48/2=0.6)allele frequency of AA
q=0.16+0.48/2=0.4allele frequency of BB
0.6+0.4=1
in self fertilization the allele frequency doesn't change according to generation.
Genotype frequency
AA AB BB
F1 0. 36 0.48 0.16
F2 0.6 0.24 0.4
AA''=2 GENERATION-0.36+0.48/4=0.6
AB''=2 GENERATION=0.48/2=0.24
BB''=2 GENERATION=0.16+0.48/4=0.4
During self fertilization the hetrozygous frequency decreases with generation and homozygous frequency increases.
cross-fertilization is achieved through cross-pollination, when pollen grains are transferred from the cones or flowers of one plant to egg-bearing cones or flowers of another.
Crossing of hetrozygous offspring will yield 50 percent heterozygous gene and half of the remaining will be half homozygous for dominant gene and half homozygot for recessive gene.
0.36+0.48+0.16=0.87
0.36+0.48+0.16=0.13