Controlling aircraft traffic in an aerial network is described. A controller system identifies a departure site, an arrival site, a departure time interval, and an arrival time interval. Based on the on the departure site, the arrival site, and the departure time interval, the controller system generates a spatiotemporal region. A spatiotemporal region defines a three-dimensional perimeter that moves in time along a flightpath from the departure site to the arrival site. An aircraft is assigned to the spatiotemporal region and instructed to remain within perimeter of the spatiotemporal region as the aircraft travels from the departure site to the arrival site. The controller system monitors locations of the aircraft over time relative to the perimeter of the spatiotemporal region. If the aircraft deviates from the spatiotemporal region, the controller may transmit control instructions to the aircraft to return to the spatiotemporal region.