ROM: All of the studies I have come across include some environmental factor causing methylation (or demethylation) resulting in traits that carryover to the offspring.-As long as by environmental you include lack of food, changing types of food (Darwin's finches), size change as in Resnick's guppies, and recently discovered fear-causing events, as examples, that is fine. Have you read Shapiro's book "Evolution; A view from the 21st Century", 2011?