Hi Hugh,
Some folks will estimate the average R-Value of softwoods as 1.25 per inch. I believe that Southern Yellow Pine is a bit closer to .95, and Poplar around 1.13 per inch.
With a log home usually R-Value isn't the important issue, but rather one is concerned with thermal mass. Of course the thicker your walls are the more thermal mass you have -- and as a bonus you end up with a little higher average R-Value too :)
Regarding cutting your lumber to 4" thick. I'd go much thicker to gain the advantages of more thermal mass. Personally I would not cut them at all, I'd just leave them a nice natural round shape, but then I'm a log home builder :) If I were to cut logs into boards for a wall, then I'd go for at least 8"thick -- it would give you a lot more thermal mass.
BTW: If your walls are going to be load bearing then typically your lumber has to be a minimum of 6" thick to qualify your structure as heavy timber construction. Heavy timber construction is type IV construction (e.g. a properly built real log home), and does a lot better in regards to fire safety than a stick frame home which is type V. So if you want load bearing walls I'd at least shoot for a 6" min thickness.
Of course if your walls aren't going to be load bearing and you wanted to meet heavy timber requirements then all you need to worry about is doing your columns, girders, floor, roof and deck properly.






Does any know the R-value (insulating value) of southern yellow pine and poplar? I am trying to decide which one to use in my next cabin project. I am considering using 4x6 or 4x8 walls and am not sure if 4 inchs is thick enough to adequatly insulate it.
Thanks
Hugh