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In this paper, we present a new "spatiotemporal multicast" protocol for supporting applications which require spatiotemporal coordination in sensornets. To simultaneously consider the factors of moving speed and direction, this work mainly investigates a new mobicast routing protocol, called variant-egg-based mobicast (VE-mobicast), by utilizing the variant-egg shape of the forwarding zone to achieve a high predicted accuracy. The contributions of our protocol are summarized as follows: (1) it builds a new shape of a forwarding zone, called the variant-egg, to adaptively and efficiently determine the location and shape of the forwarding zone to maintain the same number of wake-up sensor nodes; (2) it is a fully distributed algorithm which reduces the communication overhead of determining the forwarding zone and the mobicast message forwarding overhead; (3) it can improve the predicted accuracy of the forwarding zone by considering the factors of moving speed and direction. Finally, the simulation results illustrate the performance achievements, compared to existing mobicast routing protocols.