Question

Verify the rows of the transition matrix in Example 3.10.6 that correspond to current states\(\left\{ {AA,Aa} \right\}\)and\(\left\{ {Aa,aa} \right\}\)

Short answer

Rows of transition matrix that correspond to current states \(\left\{ {AA,Aa} \right\}\) and \(\left\{ {Aa,aa} \right\}\)

Step-by-step solution

Computing the transition matrix of the process of the second cross.

Consider a make and a female plant both with allele Aa. First, cross the two plants with genotypes Aa and aa to produce 2 offspring.

After the cross, the parent plants are destroyed. The offspring of the cross are further crossed with each other. There are four possible ways to combine genes in the offspring.

An offspring could get a from the ovule and a from the pollen, a from the ovule and A from pollen, A from the ovule and a from the pollen, A from the ovule, and A from the pollen.

The possibility of each way has a possibility of 0.25.

Hence the transition matrix can be listed in the table as follows: