The commercial pilot reported that prior to starting his takeoff roll atop a 1,500 foot long volcanic cinder bed, he noted that the prevailing winds were out of the north, at 15 knots. During a northerly takeoff, just after liftoff, the northerly winds dissipated, and the airplane would not continue to climb. The airplane subsequently collided with a stand of trees at the departure end of the site, and sustained substantial damage to the wings, fuselage, and empennage. The pilot reported that there were no preaccident mechanical anomalies with the airplane.