The pilot reported that during a cross-country flight at dusk, the airplane encountered greater head winds than planned. The pilot made several engine power and mixture adjustments to compensate for the increased wind velocity and to maintain altitude. About 15 miles prior to reaching the destination airport, the engine lost power. He attempted to troubleshoot the loss of engine power to no avail and initiated a forced landing. The airplane collided with trees and came to rest inverted. The airplane sustained substantial damage to the wings, the fuselage and empennage. The pilot believed that his fuel planning for the accident flight was insufficient, which resulted in fuel exhaustion. The pilot reported that there were no mechanical malfunctions or failures with the airplane that would have precluded normal operation.