If anything, it should be you that should go and create a research program analyzing the nature of poly relationships in humans and the underlying causes, not me. I merely pointed out the reality that our law should consider accommodation for those individuals as it does for others. All you seem to be bringing to the table is scare mongering that depends more on the tiniest of slivers of human society for the proposition that poly relationships should be illegal. Such a proposition is not tenable on it's face nor in its contents thus far. Or in simpler terms: please do your own research because I'm not here to convince you either way (but you seem damn sure to convince me that my poly friends are some evil bad fundies wanting to rape children).
Edit: sorry for the rudeness. I take things personally sometimes.
There are two large groups: one with a pretty 'dirty' record regarding abuse/child marriages and another with a clean record. So this could come down more to an environment/community issue than a polygamy issue where, in one community/environment, abuse and child marriages are largely the norm and the other it isn't.
Warren Jeffs' Fundamentalist Church of Jesus Christ of Latter-Day Saints && Apostolic United Brethren. The former having the bad record and the latter having the clean record. (&& being the separator to avoid confusion) The former is larger than the latter but the latter is the second-largest church that practices polygamy.
E:
The burden of proof is also on you to prove that polygamy leads to abuse/child abuse as you are the one making the claim. Given there's little/no data to support either side, you'll have to wait for more research. Which would likely involve legalizing the practice and conducting studies.
I could be wrong. I haven't done extensive research into this. If you want to convince me, show me the data.