, Volume 26, Issue 3, pp 665–679 | Cite as

An estimation of homogeneity in crop plants, with special reference to genetic vulnerability in the dry bean, Phaseolus vulgaris L.

  • M. W. Adams


A general method of quantitatively assessing genetic similarity among a set of cultivars of a given crop is proposed, and its application to dry beans in the United States is demonstrated. The method is based upon the multi-variate technique of Principal Components Analysis. Using this method it was possible to calculate a ‘distance’ metric between any two cultivars in the set and to show that such distances were highly inversely correlated with genetic relationship estimated from a knowledge of breeding ancestry.

On the basis of distances among cultivars within given production regions (states in the US in this case) and knowledge of the acres of each cultivar grown in the region, an average weighted distance metric appropriate to each was calculated. Each derived distance metric serves as an index of ‘genetic homogeneity’ for the crop in that region. Arguments are presented for relating the degree of vulnerability to a disease epidemic to the distance index. Indexes are calculated for nine of the major bean producing states in the US from which it is concluded that, from the standpoint of genetic vulnerability, Colorado is most vulnerable and California least vulnerable to a region-wide epidemic affecting the bean crop. It is suggested that the method demonstrated here is of nearly universal applicability, and particularly meaningful with respect to self-fertilizing crops.

Index words

Crop plants Phaseolus vulgaris common dry bean genetic homogeneity estimation genetic vulnerability 


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  1. Adams, M. W. & J. Wiersma, 1977. An adaptation of principal components analysis to an assessment of genetic distance, with an example. Research Report, Technical Information (in press) Mich. Agric. Expt. Stn.Google Scholar
  2. Blackith R. E. & R. A. Reyment, 1971. Multivariate morphometrics. Academic Press, London and N.Y. 412 p.Google Scholar
  3. Browning, J. A., 1973. Oats: a continental control program. In: R. R. Nelson (Ed.), Breeding plants for disease resistance. The Penn. State Univ. Press, p. 155–180.Google Scholar
  4. Browning J. A. & K. J. Frey, 1969. Multiline cultivars as a means of disease control. Ann. Rev. Phytopathol. 7: 355–382.CrossRefGoogle Scholar
  5. Ellingboe, A. H., 1975. Horizontal resistance: an artifact of experimental procedure? Aust. Pl. Path. Soc. Newsletter, p. 44–46, Dec. 1975.Google Scholar
  6. Harris, R. J., 1975. A primer of multivariate analysis. Acad. Press, 332 p.Google Scholar
  7. Hope, K., 1968. Methods of multivariate analysis. Univ. of London Press, Ltd.Google Scholar
  8. Jensen N. F., 1952. Intra-varietal diversification in oat breeding. Agron. J. 44: 30–34.Google Scholar
  9. Jyung W. H., M. E. Camp, D. E. Polson, M. W. Adams & S. H. Wittwer, 1972. Differential response of two bean varieties to Zinc as revealed by electrophoretic protein pattern. Crop Sci., 12: 26–29.Google Scholar
  10. Kendall, Sir M., 1975. Multivariate analysis. Charles Griffin and Co., Ltd.Google Scholar
  11. King J. L., 1967. Continuously distributed factors affecting fitness. Genetics 55: 483–492.PubMedGoogle Scholar
  12. National Acad. Sciences (USA). 1972. Genetic vulnerability of major crops. Publ. No. 02030-1, 307 p.Google Scholar
  13. Seal H., 1964. Multivariate statistical analysis for biologists. Methuen and Co., Ltd., London. 209 p.Google Scholar
  14. Sneath P. H. A. & R. R. Sokal, 1973. Numerical taxonomy. W. H. Freeman and Co., San Francisco, CA. 573 p.Google Scholar
  15. Van der Plank J. E., 1968. Disease resistance in plants. Acad. Press, New York, NY, 206 p.Google Scholar
  16. Walker W. M. & T. Hymowitz, 1972. Simple correlations between certain mineral and organic components of common beans, peanuts, and cowpeas. Comm. Soil Sci. Pl. Anal. 3 (6)L 505–511.Google Scholar
  17. Wolfe M. S., 1972. The genetics of barley mildew. Rev. Plant Pathol. 51: 507–522.Google Scholar

Copyright information

© H. Veenman en Zonen B.V. 1977

Authors and Affiliations

  • M. W. Adams
    • 1
  1. 1.Michigan State UniversityEast LansingUSA

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