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In this paper we propose a distributed algorithm called S-REMiT for building an energy-efficient multicast tree in a wireless ad hoc network (WANET). S-REMiT employs a more realistic energy consumption model for wireless communication, which takes into account the energy losses not only due to radio propagation but also the energy losses in the transceiver electronics. This enables S-REMiT to adapt a given multicast tree for a wide variety of wireless networks irrespective of whether they use long-range radios or short-range radios. Our simulations show that it performs better than BIP/MIP and EWMA algorithms.