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Burt P. Kotler, Joel S. Brown, Aziz Subach, Mechanisms of Species Coexistence of Optimal Foragers: Temporal Partitioning by Two Species of Sand Dune Gerbils, Oikos, Vol. 67, No. 3 (Sep., 1993), pp. 548-556
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Kotler et al. (1993) studied this question.
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