Tropical Storm Barry's winds weakened slightly to 40 mph, but the risks associated with the storm - including flooding and tornadoes - are sparking new concerns.
The National Hurricane Center in Miami said in its 11 a.m. Sunday advisory that the storm's center was located about 50 miles south-southeast of Shreveport, Louisiana, and was moving north at 9 mph.
The center discontinued a storm surge warning it had issued from Intracoastal City to the mouth of the Atchafalaya River.
The National Weather Service issued a tornado warning for parts of Louisiana including East Baton Rouge until 10:30 a.m. CDT. A flash flood warning was in effect for Iberia, Lafayette, St. Martin, and Vermilion parishes until 1:15 p.m. CDT.
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The Associated Press contributed to this report.