NEW YORK Nov 11 (Reuters) - ICE cotton rose on Wednesday as rains and foggy weather have prevented harvesting in portions of the U.S. cotton belt for several days, though the trading range was tight and the price traded entirely within the prior session's high and low.

"People are still a little bit concerned about the size of the crop with all this weather, but we're just floating back to the top of the range," said Ron Lee, general manager at McCleskey Cotton in Bronwood, Georgia.

* March cotton on ICE Futures U.S. settled up 0.32 cent, or 0.52 percent, at 62.31 cents per lb. It traded within a range of 61.92 and 62.62 cents a lb.

* Total futures market volume fell by 16,973 to 32,597 lots. Data showed total open interest gained 773 to 192,453 contracts in the previous session.

* Certificated cotton stocks CERT-COT-STX deliverable as of Nov 10 totaled 45,841 480-lb bales, up from 45,477 in the previous session.

* The dollar index was down 0.35 percent. The Thomson Reuters CoreCommodity CRB Index, which tracks 19 commodities, was down 0.56 percent.

* Relative Strength Index in the most-active contract rose to 49.599. (Reporting By Luc Cohen; editing by Grant McCool)