Abstract
This paper investigates the existence of stable translocation polymorphisms. Since translocation heterozygotes have reduced fertility, one would expect an equilibrium to be unstable. It is shown however that complementation of deficiency-duplication gametes, which leads to an excess of heterozygotes among the offspring of heterozygous parents, may counter-balance the selective disadvantage of heterozygotes. Conditions are given for stability of non-trivial equilibria in a deterministic, discrete generation model. Part of the results were obtained numerically. Some aspects of ‘the translocation method’ for insect pest control are briefly discussed.
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Curtis, C.F. (1968). A possible genetic method for the control of insect pests, with special reference to tsetse flies (Glossina spp.). Bull. ent. Res. 57, 509–523
Curtis, C.F. & W.G. Hill, (1968). Theoretical and practical studies on a possible genetic method for tsetse flie control. In: Isotopes and Radiation in Entomology, Internatn. At. Energy Agency, Vienna, pp. 243–247.
Curtis, C.F. & W.G. Hill, (1971). Theoretical studies on the use of translocations for the control of tsetse flies and other disease vectors. Theor. Popul. Biol. 2, 71–90.
Robinson, A.S. (1976). Progress in the use of chromosomal translocation for the control of insect pests. Biol. Rev. 51, 1–24.
Robinson, A.S. & C. Van Heemert, (1975). Preliminary radiobiological studies on Hylemya antiqua (Meigen) and data on three radiation induced (0.5 Krad) chromosomal rearrangements. In: Proc. Symp. Innsbruck. Internatn. At. Energy Agency/F.A.O.
Wright, S. (1941). On the probability of fixation of reciprocal translocations. Am. Nat. 75, 513–522.
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Stam, P. The existence of stable translocation polymorphisms. Genetica 50, 149–158 (1979). https://doi.org/10.1007/BF00123291
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DOI: https://doi.org/10.1007/BF00123291