The option that would lead to increased genetic variation in offspring is:
a DNA replication error in a gamete of an individual during meiosis.
This can introduce mutations, which can create new allele variations.
To clarify the other options:
- Independent assortment of chromosomes during mitosis - Mitosis does not contribute to genetic variation as it produces genetically identical cells.
- Crossing over during mitosis - It should be noted that crossing over typically occurs during meiosis, not mitosis. In any case, crossing over during meiosis does create genetic variation, but this statement is incorrect regarding the context (mitosis).
- Asexual reproduction resulting in genetically identical offspring - Asexual reproduction does not increase genetic variation, as it produces clones of the parent.
Therefore, the best answer addressing genetic variation in offspring, albeit indirectly through mutations, is the last option.