Essential Genetics 6th Edition by Daniel Hartl

Exercise 8

For a phenotype determined by a single, completely penetrant recessive allele at frequency q in a random-mating population, it can be shown that the narrow-sense heritability is2 q /(1 + q ).
(a) Calculate the narrow-sense heritability for q= 1.0, 0.5, 0.1, 0.05, 0.01, 0.005, and 0.001.
(b) Note that the narrow-sense heritability goes to 0 as q goes to 0, yet the phenotype is completely determined by heredity. How can this be explained?
(c) From the scatterplot, would you guess that the trait of sprint speed has high or low heritability in these lizards?