Skip to main content

Estimation of the coefficient of double reduction in the cultivated tetraploid potato

Theoretical and Applied Genetics volume 85, pages 857–862 (1993)Cite this article

Summary

Theoretical models to estimate the coefficient of double reduction in tetraploid organisms and the standard error of this estimate are derived. Using these models, we were able to estimate the coefficient of double reduction for several loci in tetraploid potatoes, Solanum tuberosum L., through examination of segregating isozyme loci in a series of 4x-2x crosses and in haploid progeny derived from six cultivated tetraploid potatoes. Tetraploid x diploid crosses are useful for estimating the frequency of double reduction because of the availability of homozygous diploid tester lines and the large number of tetraploid progeny generated via the functioning of 2n pollen. The strength of haploid analysis is the examination of diploid progeny. However, it is frequently difficult to obtain large numbers of progeny for testing. Based on our results, we conclude that double reduction occurs sporadically in tetraploid potatoes.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

43,34 €

Price includes VAT (Finland)
Tax calculation will be finalised during checkout.

References

  • Brucher H (1964) El origen de la papa (Solarium tuberosum). Physis 24:439–452

    Google Scholar 

  • Burnham CR (1962) Discussions in cytogenics. Burgess Publ, St. Paul, Minn.

    Google Scholar 

  • Douches DS, Quiros CF (1987) Use of 4x-2x crosses to determine gene-centromere map distances of isozyme loci in Solanum species. Genome 29:519–527

    Google Scholar 

  • Douches DS, Quiros CF (1988) Genetic strategies to determine the mode of 2n egg formation in diploid potatoes. Euphytica 38:247–260

    Google Scholar 

  • Geiringer H (1948) Contribution to the heredity theory of multivalents. J Math Phys 1:246–278

    Google Scholar 

  • Geiringer H (1949) Chromatid segregation of tetraploids and hexaploids. Genetics 34:665–684

    Google Scholar 

  • Haldane JBS (1930) Theoretical genetics of autopolyploids. J Genet 22:349–372

    Google Scholar 

  • Hawkes JG (1956) Taxonomic studies on the tuber-bearing Solanums I. Solanum tuberosum and the tetraploid species complex. Proc Linn Soc London 166:97–144

    Google Scholar 

  • Hawkes JG (1967) The history of the potato. J R Hortic Soc 92:207–224; 249–262; 288–302

    Google Scholar 

  • Hougas RW, Peloquin SJ (1958) The potential of potato haploids in breeding and genetic research. Am Potato J 35:701–707

    Google Scholar 

  • Howard HW (1970) Genetics of the potato. Solanum tuberosum L. Logos Press, London

    Google Scholar 

  • Howard HW (1973) Calyx forms in dihaploids in relation to the origin of Solanum tuberosum. Potato Res 16:43–46

    Google Scholar 

  • Kotch GP, Peloquin SJ (1987) A new source of haploid germplasm for genetic and breeding research. Am Potato J 64:137–142

    Google Scholar 

  • Martinez-Zapater JM, Oliver JL (1984) Genetic analysis of isozyme loci in tetraploid potatoes (Solanum tuberosum L.) Genetics 108:669–679

    Google Scholar 

  • Mather K (1935) Reductional and equational separation of the chromosomes in bivalents and multivalents. J Genet 30:53–78

    Google Scholar 

  • Mather K (1936) Segregation and linkage in autotetraploids. J Genet 32:287–314

    Google Scholar 

  • Matsubayashi M (1960) Studies on the haploid plants of Solanum tuberosum. II. Meiotic chromosome pairing in the polyhaploid plants. Jpn J Breed 10:195–202

    Google Scholar 

  • Muller HJ (1914) A new mode of segregation in Gregory's tetraploid primulas. Am Nat 48:508–512

    Google Scholar 

  • Quiros CF, McHale N (1985) Genetic analysis of isozyme variants in diploid and tetraploid potatoes. Genetics 111:131–145

    Google Scholar 

  • Staub JE, Kuhns LJ, Grun P, May B (1984) Genetic basis of isozyme variation for alkaline phosphatase and glucose phosphate isomerase in Solanum. Theor Appl Genet 67:505–513

    Google Scholar 

  • Stebbins GL (1957) Genetics, evolution and plant breeding. Indian J Genet Plant Breed 17:129–141

    Google Scholar 

  • Stuber CW, Wendel JF, Goodman MM, Smith JSC (1988) Techniques and scoring procedures for starch gel electrophoresis from maize (Zea mays L). Tech Bull 286 NC Agric Res Serv, North Carolina State University, Raleigh, N.C.

    Google Scholar 

  • Swaminathan MS (1954) Microsporogenesis in some commercial potato varieties. J Hered 45:265–272

    Google Scholar 

  • Swaminathan MS, Magoon ML (1961) Origin and cytogenetics of the commercial potato. Adv Genet 10:217–256

    Google Scholar 

Download references

Author information

Affiliations

  1. US Department of Agriculture, Agricultural Research Service, Beltsville Agricultural Research Center, Plant Sciences Institute,Vegetable Laboratory, 20705, Beltsville, MD, USA

    K. G. Haynes

  2. Department of Crop and Soil Sciences, Michigan State University, 48824, East Lansing, MI, USA

    D. S. Douches

Authors
  1. K. G. Haynes
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. S. Douches
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by E.J. Eisen

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Haynes, K.G., Douches, D.S. Estimation of the coefficient of double reduction in the cultivated tetraploid potato. Theoret. Appl. Genetics 85, 857–862 (1993). https://doi.org/10.1007/BF00225029

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00225029

Key words

  • Chromosomal segregation
  • Chromatid segregation
  • Haploids
  • Map distance
  • Isozyme loci