Answer: If the phenotypic variance is 16 and the environmental variance is 12, the heritability for height among this group of plants is 0.25.
Explanation: Heritability is the proportion of a population's phenotypic variation attributable to genetic factors. There are two types of Heritability; Broad sense and Narrow sense Heritability.
Broad sense heritability can be expressed as: H²B = Vg/Vp
where Vg is the genotypic variance and Vp is the phenotypic variance.
Narrow sense heritability can be expressed as : h²N = VA/Vp
where VA is the variance due to additive and Vp is the phenotypic variance.
In the question given above, we are to calculate Broad sense heritability. To get this, we need to calculate genotypic variance. This can be achieved by using the formula Vp = Vg + Ve
where Vp is the phenotypic variance, Vg is the genotypic variance and Ve is the environmental variance.
From the equation,
Vg = Vp - Ve
Vg = 16 - 12
Vg = 4
Input the necessary values in the Heritability formula
H²B = Vg/Vp
H²B = 4/16 = 1/4 = 0.25