DOUBLING AND HALVING. “A particular feature of meiosis is that it starts with a chromosome doubling (2n→ 4n) before meiosis I (4n→2(2n)) and II (2(2n)→4(n)) occur. For ploidy reduction, the initial steps appear superfluous. A simpler single-step cell division (2n→2(n)), without the initial DNA replication phase, could in principle achieve ploidy reduction.”
http://biorxiv.org/content/biorxiv/early/2016/04/28/050831.full.pdf