ALLELE INVASION. “We demonstrate that obligate sex can evolve in finite diploid populations in the presence of sexual selection, with or without a long-term advantage. We find a parameter range allowing the invasion of a rare obligate allele into a facultative population. The invasion is more likely to occur when mutation rate is high, the cost of sex is low, sexual selection is strong, and the facultative individuals rarely reproduce sexually. Sexual selection is critical to the results.”
http://onlinelibrary.wiley.com/doi/10.1002/ece3.1516/full