Abstract
Somatic association of homologous chromosomes has been quantitatively studied in root tips of Crepis capillaris (2n=6), C. taraxicifolia (2n=8) and C. rubra (2n=10). Statistical analyses have been carried out on scattered metaphase plates. Homologous somatic association has been analyzed by applying two statistical approaches: the method of corrected distances and the method of generalized distances. Their validity and proper utilization are discussed on the basis of a comparison of results obtained when both methods are applied to the same scattered metaphase plates of material of which previous evidence of homologous somatic association had been obtained in radial metaphases. The following conclusions have been drawn: (i) in the case of the method of corrected distances the contradictory results can be attributed to an improper use of the statistical approach since the theoretical model requires the chromosomes (centromeres) to be uniformly distributed throughout a circle, (ii) since the theoretical model of the generalized distance method does not have any requirement, serious doubts about its validity arise from the negative results obtained.
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References
Antunes-Correia, J.C.: Somatic association in BHK21 homosynkaryons. Heredity 28, 357–362 (1972)
Avivi, L., Feldman, M., Bushuk, W.: The mechanism of somatic association in common wheat, Triticum aestivum L.I. Suppression of somatic association by colchicine. Genetics 62, 745–752 (1969)
Brown, W.V., Stack, S.M.: Somatic pairing as a regular preliminary to meiosis. Bull. Torrey Bot. Club 95, 369–378 (1968)
Comings, D.E.: The rationale for an ordered arrangement of chromatin in the interphase nucleus. Amer. J. hum. Genet. 20, 440–460 (1968)
Darvey, N.L., Driscoll, C.J.: Evidence against somatic association in hexaploid wheat. Chromosoma (Berl.) 36, 140–149 (1972)
Defrise-Gussenhoven, E.: Generalized distance in genetic studies. Acta Genet. med. Gemell. 17, 275–288 (1967)
Deltheil, R.: Probabilités Géometriques. Paris: Gauthier-Villars 1926
Dubuc, J.P., McGinnis, R.C.: Somatic association in Avena sativa L. Science 167, 999–1000 (1970)
DuPraw, E.J.: DNA and chromosomes. New York: Holt, Rinehart and Winston 1970
Dvorak, J., Knott, D.R.: A study of somatic association of wheat chromosomes. Canad. J. Genet. Cytol. 15, 411–416 (1973)
Fedak, G., Helgason, S.B.: Somatic association of chromosomes in barley. Canad. J. Genet. Cytol. 12, 496–500 (1970)
Feldman, M., Avivi, L.: Non-random arrangement of chromosomes in common wheat. In: Chromosomes today, 4, 187–196 (1973a)
Feldman, M., Avivi, L.: The pattern of chromosomal arrangement in nuclei of common wheat and its genetic control. Proc. 4th Internat. Wheat Genet. Symp. Missouri Agr. Exp. Sta., Columbia, Mo., 675–684 (1973b)
Feldman, M., Mello-Sampayo, T., Avivi, L.: Somatic association of homoeologous chromosomes in Triticum aestivum. Chromosoma (Berl.) 37, 209–222 (1972)
Feldman, M., Mello-Sampayo, T., Sears, E.R.: Somatic association in Triticum aestivum. Proc. nat. Acad. Sci. (Wash.) 56, 1192–1199 (1966)
Ferrer, E., Lacadena, J.R.: Homologous somatic association in radial metaphases of Crepis species. Chromosoma (Berl.) 64, 25–36 (1977)
Fox, D.P., Mello-Sampayo, T., Carter, K.C.: Chromosome distribution in neuroblast metaphase cells of Locusta migratoria L. Chromosoma (Berl.) 53, 321–333 (1975)
Galperin, H.: Comparative study of the association of human acrocentic chromosomes in male and female mitoses. Cytogenetics 7, 447–454 (1968)
Galperin, H.: Number of each type of acrocentric association and probability of its occurrence in human male and female metaphase cells. Cytogenetics 8, 439–446 (1969)
Grell, R.F.: Meiotic and somatic pairing. In: Genetic organization. A comprehensive treatise (E.W. Caspari and A.W. Ravin, eds.), vol. 1, 361–492. New York: Academic Press 1969
Hammersley, J.M.: The distribution of distance in a hypersphere. Ann. Math. Statistics 21, 447–452 (1950)
Lacadena, J.R., Ferrer, E., Yañez, I.: A new approach to quantitative analysis of somatic association. Cytogenet. Cell Genet. 18, 320–326 (1977)
Lacadena, J.R., Puertas, M.J.: Secondary association of bivalents in an allohexaploid, Aegilops triaristata Willd. 6 x. Genét. Ibér. 21, 191–209 (1969)
Lord, R.D.: The distribution of distance in a hypersphere. Ann. Math. Statistics 25, 794–798 (1954)
Mello-Sampayo, T.: Somatic association of telocentric chromosomes carrying homologous centromeres in common wheat. Theoret. appl. Genet. 43, 174–181 (1973)
Metz, C.W.: Chromosome studies on the Diptera. II. The paired association of chromosomes in the Diptera and its significance. J. exp. Zool. 21, 213–279 (1916)
Sadasivaiah, R.S., Watkins, R., Rajhathy, T.: Somatic association of chromosomes in diploid and hexaploid Avena. Chromosoma (Berl.) 28, 468–481 (1969)
Siegel, S.: Nonparametric statistics. New York: McGraw-Hill Book Company, Inc. 1956
Singh, R.J., Röbbelen, G., Okamoto, M.: Somatic association at interphase studied by Giemsa banding technique. Chromosoma (Berl.) 56, 265–273 (1976)
Spaeter, M.: Nichtzufällige Verteilung homologer Chromosomen (Nr. 9 und YY) in Interphasekernen menschlicher Fibroblasten. Humangenetik 27, 111–118 (1975)
Spence, M.A., Luthard, F.W.: Mitotic association patterns of nucleolar organizing chromosomes in the mouse. Cytogenet. Cell Genet. 15, 276–280 (1975)
Spence-Campbell, M.A., Forsythe, A.B., Nesbitt, M.: Metaphase distribution of the mouse chromosomes. Chromosoma (Berl.) 39, 289–295 (1972)
Stevens, N.M.: A study of the germ cells of certain Diptera, with reference to the heterochromosomes and the phenomena of synapsis. J. exp. Zool. 5, 359–374 (1908)
Thomas, H.: Somatic association of chromosomes in asynaptic genotypes of Avena sativa L. Chromosoma (Berl.) 42, 87–94 (1973)
Werry, P.P.Th.J., Stoffelsen, K., Engels, F.M., Laan, F. van der, Spanjers, A.W.: The relative arrangement of chromosomes in mitotic interphase and metaphase in Haploppapus gracilis. Chromosoma (Berl.) 62, 93–101 (1977)
Yoshida, H., Yamaguchi, H., Takano, Y.: Somatic association of homologous chromosomes in rye. Jap. J. Genet. 49, 45–47 (1974)
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Lacadena, J.R., Ferrer, E. Homologous somatic association in Crepis species: a critical comparison of several statistical approaches. Chromosoma 67, 77–86 (1978). https://doi.org/10.1007/BF00285650
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DOI: https://doi.org/10.1007/BF00285650