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A scientist is researching oil content of seeds from a new plant species named R. tificial. She has determined the narrow sense heritability (h2) is 0.80. She mates plants with an average seed oil content of 32%. If the response to selection (R) was 16%, what is the estimated average oil content of seeds in the entire lab population?

a. 12%
b. 20%
c. 32%
d. 44%
e. 50%

User Tmn
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Answer:

The correct answer is option a. 12%

Step-by-step explanation:

Before answering the question, we need to know a few concepts.

Artificial selection is the selecting practice of a specific group of organisms in a population -that carry the traits of interest- to be the parents of the following generations.

Parental individuals carrying phenotypic values of interest are selected from the whole population. These parents interbreed, and a new generation is produced.

The selection differential, SD, is the difference between the mean value of the trait in the population (X₀) and the mean value of the parents, (Xs). So,

SD = Xs - X₀

Heritability in the strict sense, h², is the genetic component measure to which additive genetic variance contributes. The heritability might be used to determine how the population will respond to the selection done, R.

h² = R/SD

The response to selection (R) refers to the metric value gained from the cross between the selected parents. R can be calculated by multiplying the heritability h², with the selection differential, SD.

R = h²SD

R also equals the difference between the new generation phenotypic value (X₁) and the original population phenotypic value (X₀),

R = X₁ - X₀

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In the exposed example

  • narrow-sense heritability (h²) is 0.80
  • selected plants with an average seed oil content of 32%
  • the response to selection (R) is 16% = 0.16

To get the average oil content of seeds in the entire lab population, we should clear the following equation.

SD = Xs - X₀

But first, to get SD, we need to clear the equation R = h² SD

SD = R/h² = 0.16/0.8 = 0.2

X₀ = Xs - SD = 0.32 - 0.2 = 0.12

The estimated average oil content of seeds in the entire lab population is 12%.

User Roberts
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