The Australian giant burrowing cockroach (Macropanesthia rhinoceros) is the heaviest cockroach in the world. You are the leading expert on the genetics of this species and are working to domesticate them for food production. Your starting population (G0) has a mean body mass of 30 g and variance of 0.674 g2. You select the largest roaches from this population to breed the next generation (G1). The selected breeders have a mean body mass of 32.4 g and a variance of 0.215 g2. If the narrow sense heritability (h2) of body mass in your cockroaches is 0.35, what will be the expected mean body mass of the G1 population? Round your answer to 2 decimal places.

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okpalawalter8 okpalawalter8 · Answer 1 · 2022-04-27T11:05:36+02:00

For an Australian giant burrowing cockroach is the heaviest cockroach in the world, the expected mean is mathematically given as

M= 31.56g

Generally, the equation for the Narrow sense heritability is mathematically given as

h^2=R/S

Where

S= Selection differential

R= Selection response

R = M-30

S = (32.4-30)

S= 2.4g

In conclusion

(h^2) = R/S

h^2= 0.65

h^2= (M-30)/2.4

Hence

M = (30+1.56)

M= 31.56g