Because his last undergrad research assistant died on the jo

Because his last undergrad research assistant died on the job, Professor Killer worth has assigned you the unfortunate task of assessing among giant space wasps. Like Earth wasps, the space wasps have system of inheritance known as \"haplodiploidy\" in which haploid are produced from unfertilized eggs and diploid females are produced from fertilized eggs. Each female makes a single mating flight, during which she collects-from one multiple or males-sperm that she uses to fertilize eggs throughout her life. Male space also make a single mating flight during which they may fertilize one more females. Fill in the following table with the probability that two individual space wasps share zero, one, or two alleles of the nuclear genome identically by descent. In the rightmost column, labeled r, give the relatedness coefficient of the two individuals. Show your work or explain your reasoning under the table or on the back of this page.

Solution

Brothers: Brothers come from same mother. Mother has diploisd set of chromosomes but male progeny haploid. in other words half of all males get one allele whereas rest half will get another allele. So the probability of having different allele of a locus between brothers is 1/2. Similarly, having same allele for a particular loces is also 1/2.

relatedness = (proportion obtained from mother x Proportion of mothers genome given) + (proportion obtained from father x Proportion of fathers genome given)

= (1x 0.5) + (0+0) = 0.5

So, coefficient of relatedness fore brothers is 0.5

Full sisters: Full sisters have same male and female parent. All sisters will heve a haploid set (same allele) from male parent. But half of the females get one allele from mother whereas the rest half will get another allele. So, probability of have no alleles shared between two full sisters is zero bacause male parent gives same allele to all full sisters. For the same reason, the probability of having same one shared allele is 1.0 or 100%. The probability of sharing 2 alleles by two half sisters is 0.5 or 50%. This is because all full sisters share one allele for sure. Mother has two alleles and pass one of the allele to half of sisters and other allele will go to rest half of sisters.

relatedness coefficient = (0.5 x 0.5) + (0.5 X 1) = 0.25 + 0.5 = 0.75

Half sisters (Same mother): So these share mother genome but the fathers are different. Proportion of sharing no allele is 1/4 wheres for one allele is 1/2 while proportion of sharing two alleles is zero.

relatedness coefficient = (0.5 x 0.5) + (0.5 X 0.5) = 0.25 + 0.25 = 0.5

Half sisters (Same father): Proportion of sharing no allele is zero wheres for one allele is 1 while proportion of sharing two alleles is zero.

relatedness coefficient = (0.5 x 0.25) + (0.5 X 1) = 0.125 + 0.5 = 0.625