The pilot of the aerial application airplane applied the liquid chemical load to a field of sugarcane. The airplane was returning to the private airstrip with an empty hopper when a total loss of engine power occurred. The pilot performed a forced landing to a wooded area. The airplane came to rest upright, and the pilot was able to egress from the airplane without further incident. The airplane sustained substantial damage to the fuselage and to both wings. During the airplane recovery operation, less than two gallons of Jet A fuel were recovered from the two wing fuel tanks and the header fuel tank. The pilot reported that during the aerial application work, he lost track of the time, he spent more time in his low-level turns than needed, and the airplane ran out of fuel. The operator reported there were no preimpact mechanical malfunctions or failures with the airframe or the engine that would have precluded normal operation. The airplane was not equipped with a low fuel warning light system, nor was it required to be. According to the airframe manufacturer, a low fuel warning light system is available for certain serial numbered airplanes, and the retrofit installation is encouraged in two of their previously released service letters.