After completing the drop on a skydiving flight, the engine lost power during a power-off descent. The pilot reported that the carburetor heat was not used during the descent prior to the loss of power. However, the probability of weather conditions for carburetor ice was not verified. The aircraft struck a fence during an off-airport landing, before reaching the runway. The pilot reported that he took off with 10 gallons of fuel on board. The plane crashed about 15 minutes after takeoff. An examination of the engine revealed no malfunction or failure prior to the accident.