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Meiosis VIII: Segregation matrix methods applied to meiotic drive in Drosophila melanogaster males with an SC 4-SC 8 inverted X

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Abstract

Two alternative matrix “solutions” of drive in Drosophila males with sc 4-sc 8 as studied by Peacock (1965) poses questions concerning meiosis in such flies. The two solutions are based primarily on the observations that sc 4-sc 8 males with low levels of X, Y non-disjunction produce twice as many female-as male offspring; that 50% of the sperm in this Drosophila line may be dysfunctional; that at all levels of non-disjunction studied, the difference between the % of female and male offspring produced by normal disjunction is about 33; and finally that, among non-disjunction types, nullo sperm werer covered more frequently than those with X and Y.

The first matrix solution suggests a new model involving production of one “infertile”- and one “fertile” daughter cell at meiosis 1 in 1/3 of the cases and at meiosis 2 in the other 2/3. The second solution is already well known and would require the production of one fertile and one infertile secondary cyte at meiosis 1, in all cases. The unique feature of the first solution is that all four anaphase 2 poles (or genes) are present in primary spermatocytes as primordia. Two of these would predetermine fertility and two, infertility; and by assuming a random 2-by-2 assortment of these four poles at M1, together with physical binding of one of them with an X-or a Y chromatid, all known sc 4-sc 8 data as listed above, can be explained. The second model is necessarily more cumbersome, as it is difficult to account for a 2/1, female/male, ratio being produced at one cell division (meiosis 1).

Discussed are possible applications of the segregation matrix method as a tool for determining degrees of freedom (complexity) in any biological system; implication of the models for segregation distorter (SD), for heterozygous translocations analyzed in Drosophila by Glass (1935) and by Zimmering (1955), and in other known or suspected cases of drive.

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References

  • Chandley, A. C. (1965). Application of the “distributive pairing” hypothesis to problems of segregation in translocation heterozygotes of Drosophila melanogaster. Genetics 52: 247–258.

    Google Scholar 

  • Cooper, K. W. (1949). The cytogenetics of meiosis in Drosophila. Mitotic and meiotic autosomal chiasmata without crossing over in the male. J. Morph. 84: 81–122.

    Google Scholar 

  • Denell, R. E. & B. H. Judd (1969). Segregation distorter in D. melanogaster males: an effect of female genotype on recovery. Molec. Gen. Genetics 105: 262–274.

    Google Scholar 

  • Douglas, L. T. (1968a). Meiosis IV: Segregation from interchange multivalents as a Markov process. Genetica 39: 429–455.

    Google Scholar 

  • Douglas, L. T. (1968b). Meiosis V: Matric and path coefficient solutions of tri-and quadrivalents. Genetica 39: 456–496.

    Google Scholar 

  • Douglas, L. T. (1971). Meiosis IX: Segregation matrix analyses of meiotic drive and non-random disjunction in Drosophila. (MS).

  • Douglas, L. T. & S. J. Geerts (1966). Meiosis II: A modified affinity model in mice. Genetica 37: 511–542.

    Google Scholar 

  • Douglas, L. T., M. E. van Meekeren & S. J. Geerts (1970). Characteristics of meiotic drive in spa pol/+Drosophila melanogaster males. (MS).

  • Gabritschevsky, E. & C. B. Bridges (1928). The giant mutation in Drosophila melanogaster. Part II. Physiological aspects of the giant race. The giant “caste”. Z. indukt. Abstamm.-u. Vererb. Lehre 46: 248–284.

    Google Scholar 

  • Gershenson, S. (1933). Studies on the genetically inert region of the X-chromosome of Drosophila. I. Behavior of an X-chromosome deficient for a part of its inert region. J. Genet. 28: 297–313.

    Google Scholar 

  • Glass, H. B. (1935). A study of factors influencing chromosomal segregation in translocations of Drosophila melanogaster. Univ. Missouri Res. Bulletin 231: 1–28.

    Google Scholar 

  • Hanks, G. D. (1969). A deviant sex ratio in Drosophila melanogaster. Genetics 61: 595–606.

    Google Scholar 

  • Hartl, D. L., Y. Hiraizumi & J. F. Crow (1967). Evidence for sperm dysfunction as the mechanism of segregation distortion in Drosophila melanogaster. Proc. Nat. Acad. Sci. (Wash) 58: 2240–2245.

    Google Scholar 

  • Hiraizumi, Y. & K. Nakazima (1967). Deviant sex ratio associated with segregation distortion in Drosophila melanogaster. Genetics 55: 681–697.

    Google Scholar 

  • Huettner, A. F. (1930). The spermatogenesis of Drosophila (sic!) melanogaster. Z. Zellforsch. u. mikroskop. Anat. 11: 615–637.

    Google Scholar 

  • Kataoka, Y. (1967). A genetic system modifying Segregation Distortion in a natural population of Drosophila melanogaster in Japan. Japan. J. Genetics 42: 327–337.

    Google Scholar 

  • Mange, E. J. (1968). Temperature sensitivity of segregation distortion in Drosophila melanogaster. Genetics 58: 399–413.

    Google Scholar 

  • Matsuura, H. (1938). Chromosome studies on Trillium kamtschaticum Pall. VII. Additional evidence for the neo-two-plane theory of bivalent constitution. Cytologia 9: 78–87.

    Google Scholar 

  • Novitski, E. (1951). Non-random disjunction in Drosophila. Genetics 36: 267–280.

    Google Scholar 

  • Novitski, E. (1967). Non-random disjunction in Drosophila. Ann. Rev. Genetics 1: 71–86.

    Google Scholar 

  • Novitski, E., W. J. Peacock & J. Engel (1965). Cytological basis of “sex ratio” in Drosophila melanogaster. Science 148: 516–517.

    Google Scholar 

  • Novitski, E. & I. Sandler (1957). Are all products of spermatogenesis functional? Proc. Nat. Acad. Sci. (Wash.) 43: 318–324.

    Google Scholar 

  • Pauling, L. & E. B. Wilson (1935). Introduction to quantum mechanics. McGraw-Hill Book Co., Inc. New York.

    Google Scholar 

  • Peacock, W. J. (1965). Non-random segregation of chromosomes in Drosophila males. Genetics 51: 555–571.

    Google Scholar 

  • Peacock, W. J. & J. Erickson (1965). Segregation-distortion and regularly non-functional products of spermatogenesis in Drosophila melanogaster. Genetics 51: 313–328.

    Google Scholar 

  • Policansky, D. & J. Ellison (1970). “Sex ratio” in Drosophila pseudoobscura: spermiogenic failure. Science 169: 888–889.

    Google Scholar 

  • Sandler, I. & G. Braver (1954). The meiotic loss of unpaired chromosomes in Drosophila melanogaster. Genetics 39: 365–377.

    Google Scholar 

  • Sandler, L. & Y. Hiraizumi (1959). Meiotic drive in natural populations of Drosophila melanogaster. II. Genetic variation at the Segregation-Distorter locus. Proc. Nat. Acad. Sci. (Wash.) 45: 1412–1422.

    Google Scholar 

  • Sandler, L. & A. Rosenfeld (1962). A genetically induced, heritable modification of segregation-distortion in Drosophila melanogaster. Canad. J. Genet. Cytol. 4: 453–457.

    Google Scholar 

  • Sidorov, B. N., N. N. Sokolov & I. E. Trofimov (1936). Crossing-over in heterozygoten Inversionen. Genetica 18: 291–312.

    Google Scholar 

  • Sturtevant, A. H. & G. H. Beadle (1936). The relations in inversions in X-chromosome of Drosophila melanogaster to crossing over and disjunction. Genetics 21: 554–604.

    Google Scholar 

  • Syrkin, Y. K. & M. E. Dyatkina (1950). Structure of molecules and the chemical bond. Dover Publ. Inc., New York.

    Google Scholar 

  • Yanders, A. F., J. F. Brewen, W. J. Peacock & D. J. Goodchild (1968). Meiotic drive and visible polarity in Drosophila spermatocytes. Genetics 59: 245–253.

    Google Scholar 

  • Zimmering, S. (1955). A genetic study of segregation in a translocation heterozygote in Drosophila. Genetics 40: 809–825.

    Google Scholar 

  • Zimmering, S., J. M. Barnabo, J. Femino & G. L. Fowler (1970). Progeny: sperm ratios and segregation distorter in Drosophila melanogaster. Genetica 41: 61–64.

    Google Scholar 

  • Zimmering, S. & G. L. Fowler (1968). Progeny: sperm ratios and non-functional sperm in Drosophila melanogaster. Genet. Res. 12: 359–363.

    Google Scholar 

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Douglas, L.T. Meiosis VIII: Segregation matrix methods applied to meiotic drive in Drosophila melanogaster males with an SC 4-SC 8 inverted X. Genetica 42, 104–128 (1971). https://doi.org/10.1007/BF00154843

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