The pilot landed after completing an aerial application to a field, and planned on refueling the airplane while the application tank was reloaded. He noted that among other distractions, he was having problems with his global positioning system (GPS), and began discussing it with another pilot. The pilot reported that after takeoff, he realized that he did not have the ground crew refuel the airplane. The destination field was close, so he decided to continue rather than return and fuel the airplane. The fuel gages indicated 1/4 capacity at takeoff, and were bouncing around 1/8 capacity after he completed two passes. The engine subsequently lost power due to fuel exhaustion, and the pilot landed in a flat field, which was wet and soft. During the landing roll, the airplane nosed over, substantially damaging the vertical stabilizer and rudder. The pilot reported no preimpact mechanical malfunctions or failures with the airplane that would have precluded normal operation.