Affirmed. See Gethers v. State, 838 So.2d 504, 505 (Fla. 2003) ("[A]bsent the execution of an arrest warrant, a defendant who is in jail in a specific county pursuant to an arrest on one or more charges need not be given credit for time served in that county on charges in another county when the second county has only lodged a detainer against the defendant.").