So far, I'm the only one who has submitted scientific research on the topic.....with more coming.
Everything else is anecdotal, opinion / dogma. Dogma defined as,
"a point of view or tenet put forth as authoritative without adequate grounds"
Or anecdotal evidence......
"(of an account) not necessarily true or reliable, because based on personal accounts rather than facts or research"
So if a 2x4 wide side up is essential to prevent frostbitten toes, how cold does it have to get for this to kick in? My birds have repeatedly gone through winters with several days of 0F and colder (as low as -10F) with no frostbite. Even so, only 10 days or so max at 0F or colder. So NOT needed the other 355 days. So how cold and for how long?
Second, to prevent this frostbite, do the birds cease wrapping their front toes over the edge and instead crouch down/balance on the 2 x 4 without any benefit of hanging on? Basically the same as they would do on the ground? If only balanced, would they not be better off on a 2 x 6 or even 2 x 8? Or wouldn't they simply move over to the nests and pile in there where they could bed down on a soft pile of nesting material? If they generally prefer wide boards over a 2 x 2 roost bar, where is the scientific evidence that counters the research I cited?
If they do wrap their toes over the front and crouch down to cover those toes with fluffed feathers, how does that differ from a 2 x 2? Would they not do the exact same thing?
Want more scientific evidence?
This from the certified humane bunch on proper housing for laying hens. The entire regs listed here....
http://certifiedhumane.org/wp-content/uploads/Std18.Layers.3A-5.pdf
To cut to the chase as far as roosts are concerned....here is the pertinent parts........
E 29: Design of perches
a.There must be a gap of no less than 0.5 in( 1.3 cm) on either side of any perch to allow hens to grip the perches without risk of trapping their claws.
b.Hens must be able to wrap their toes around the perch and balance evenly in a relaxed posture for an extended period. Perches must be at least 1.0” (2.54 cm) wide at the top (rounded perches must have a diameter of not less 1.0”( 2.54 cm and not greater than 3” ( 7.6 cm)), have no sharp edges, be capped at the ends if hollow, be of a non-slip material, and be reasonably clean and dry.
c.
Perches must be positioned to minimize dirtying of any hens below and, when possible, must be over a droppings pit or manure belt.
So there is the science on it. Must be able to wrap their toes around it and not greater than 3". Hmmmmmm.