A population of vegetarian finches (Platyspiza crassirostris) has a mean beak depth of 15 mm. During a drought, only plants with small fruit that require deep beaks to eat are available, so the finches that survive have a mean beak depth of 12 mm. In the next generation, a biologist measures the offspring of the surviving finches and finds that their mean beak depth is 13 mm.

What is the heritability (\(h^2\)) of beak depth, to two decimal places?

Question

22-05-2025
Mathematics

High School

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A population of vegetarian finches (Platyspiza crassirostris) has a mean beak depth of 15 mm. During a drought, only plants with small fruit that require deep beaks to eat are available, so the finches that survive have a mean beak depth of 12 mm. In the next generation, a biologist measures the offspring of the surviving finches and finds that their mean beak depth is 13 mm.

What is the heritability (\(h^2\)) of beak depth, to two decimal places?

Answer :

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PoojaDevi PoojaDevi · Answer 1 · 2023-10-29T18:23:56-04:00

If a biologist measures the offspring of the surviving finches and finds that their mean beak depth is 13 mm, the heritability (h2) of beak depth, to two decimal places is -0.33.

The heritability of a trait refers to the proportion of the variation in that trait within a population that can be attributed to genetic factors. In this case, the heritability of beak depth can be estimated using the following formula:

h2 = (response to selection) / (selection differential)

where the response to selection is the difference between the mean value of the trait in the next generation and the mean value in the current generation.

The selection differential is the difference between the mean value of the trait in the current generation of individuals that survive and reproduce and the mean value in the entire population.

Using the given data, the response to selection is 13 - 12 = 1 mm, and the selection differential is 12 - 15 = -3 mm. Therefore, the heritability of beak depth can be calculated as:

h2 = (1/-3) = -0.33

The negative value obtained here suggests that there may have been some measurement error or other factors influencing the results. It is important to note that heritability estimates are subject to various assumptions and limitations and should be interpreted with caution.

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