Realistically, I should have the top...Realistically, I should have the top covered to keep the moisture off it to properly season it, but at the end of the summers, I move my art work under cover and make a different "fence" and start all over.
Seriously, there are sites on the i-net on proper ways to dry wood. I tried to find my favorite site, but couldn't. It is amazing the difference in btu-s compared to wet and dry. Believe it or not, all wood has the same btu rating when dry, but its the weight or density that delivers the most bang for the buck. Example, Cherry is much heavier than Poplar, so it takes less to keep the house or smoker warm , whatever. If one were to try to heat a house with pine, it might take 3 cords more than with oak.
Seasoning wood is best done in a shed with vented or open style walls and a roof:-)