If a trait has no genetic variance in a population but still has phenotypic variance, its narrow-sense and broad- sense heritability are both equal to zero. True False

The given statement is false.

Explanation:

Irrespective of being broad sensed or narrow sensed, heritability demonstrates a prediction of variation in the phenotypic trait in the organism's population, which has originated due to genetic variation between the individuals within the population. Apart from determining phenotypic variation because of genetic variation, it also determines the origination of the phenotypic variations because of the elements other than random chance or environment. Heritability holds for the origination of the changes taking place due to non-genetic factors as well.

When one talks about the changes taking place due to additive factors or the factors other than genetic factors it comes under narrow-sense heritability, while the broad sense heritability majorly deals with genetic factors. Thus, based on the given statement, the narrow-sense heritability cannot be considered as zero for the phenotypic variations originating because of other genetic variations.