Summary
A method is outlined for maximizing the mean genetic distance among plants in a synthetic population by adjusting the relative contributions of the population's parents. The largest latent vector of the genetic distance matrix is used to find relative parental frequencies. The largest increases in the diversity of a synthetic will be achieved when there are different-sized clusters of parents, with considerably larger distances between than within clusters. The method may have application in maximizing the yields of synthetic cultivars or the resistance of multi-line cultivars.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Allard RW (1960) Principles of plant breeding. Wiley and Sons, New York, 483 pp
Browning JA, Frey KJ (1969) Multiline cultivars as a means of disease control. Annu Rev Phytopathol 7:355–382
Carlson IT (1971) Randomness of mating in a polycross of orchardgrass Dactylis glomerata L. Crop Sci 11:499–502
Cox TS, Kiang YT, Gorman MB, Rodgers DM (1985) Relationship between coefficient of parentage and genetic similarity indices in the soybean. Crop Sci 25:529–532
Gower JC (1966) Some distance properties of latent root and vector methods used in multivariate analysis. Biometrika 53:325–338
Hallauer AR, Miranda FO (1981) Quantitative genetics in maize breeding. Iowa State University Press, Ames, Iowa,467 pp
Hanson WD, Johnson EC (1981) Evaluation of an exotic maize population adapted to a locality. Theor Appl Genet 60:55–63
Karson MJ (1982) Multivariate statistical methods. Iowa State University Press, Ames, Iowa, 307 pp
Knowles RP (1969) Nonrandom pollination in polycrosses of smooth bromegrass Bromus inermis Leyss. Crop Sci 9:58–61
Lee J, Kaltsikes PJ (1973) The application of Mahalanobis's generalized distance to measure genetic divergence in durum wheat. Euphytica 22:124–131
Martinez OJ, Goodman MM, Timothy DH (1983) Measuring racial differentiation in maize using multivariate distance measures standardized by variation in F2 populations. Crop Sci 23:775–781
Murphy JP, Cox TS, Rodgers DM (1986) Cluster analysis of red winter wheat cultivars based upon coefficients of parentage. Crop Sci 26:672–676
Pederson DG (1981) A least-squares method for choosing the best relative proportions when intercrossing cultivars. Euphytica 30:153–160
Smith JSC, Goodman MM, Stuber CW (1985) Genetic variability within U.S. maize germplasm. II. Widely-used inbred lines 1970 to 1979. Crop Sci 25:681–685
St. Martin SK (1982) Effective population size for the soybean improvement program in maturity groups 00 to IV. Crop Sci 22:151–152
Author information
Authors and Affiliations
Additional information
Communicated by A.R. Hallauer
Joint contribution of the USDA-ARS and Department of Agronomy, Kansas Agricultural Experiment Station. Contribution No. 87-435-J
Rights and permissions
About this article
Cite this article
Cox, T.S. Adjustment of parental frequencies to maximize the diversity of a synthetic population. Theoret. Appl. Genetics 75, 617–620 (1988). https://doi.org/10.1007/BF00289129
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00289129