Sink based spanning tree topologies are effectively used in convergecast applications for efficient packet delivery with minimum forwarding delay, eliminating packet loss or duplicate packet delivery. For tree based convergecast, this paper theoretically shows that there is a trade-off between the topology architecture and the network traffic load. Depending on this trade-off, a hierarchical topology adaptation scheme is proposed for the tree based convergecast to improve overall application performances. The effectiveness of the proposed scheme is analyzed using simulation results. Copyright 2014 ACM.