The correct option that would lead to increased genetic variation in offspring is:
"a DNA replication error in a gamete of an individual during meiosis."
This is because mutations caused by DNA replication errors can introduce new alleles into the gene pool, increasing genetic variation. The other options either do not lead to genetic variation or are incorrectly described (e.g., independent assortment occurs during meiosis, not mitosis, and a crossing over event should also occur during meiosis). Asexual reproduction results in genetically identical offspring, which does not increase genetic variation.