“Dissecting the complex genetic basis of mate choice” is the lengthy title of a lengthy text that tells us

males produce complex signals and displays that can consist of a combination of acoustic, visual, chemical and behavioural phenotypes…

The authors come from a school of integrative biology. I wonder why they have missed the excellent work in humans on HLA, fertility and mate choice.
Having said that, I would even suggest a radical different approach by looking at “What people search for” – hopefully I get now also hits on my blog for Paris Hilton, Renee Zellweger, Britney Spears, Heidi Klum, Pamela Anderson, Jessica Simpson and Jennifer Lopez ;-) Dissecting the complex genetic basis of mate choice shouldn´t be as complicated as you may imagine from this nature reviews genetics paper, yea, yea.