Theoretical studies on the methodological procedures of radiation breeding

✍ Scribed by Yoshio Yoshida

• Publisher: Springer
• Year: 1964
• Tongue: English
• Weight: 522 KB
• Volume: 13
• Category: Article
• ISSN: 0014-2336
• DOI: 10.1007/bf00037520

✦ Synopsis

If the expectation of the number of desirable mutants for equal size of Xs-populations decreases with decreasing number of plants per X2-line, the "one-plant-onegrain method" (method C), the "one-plant-two-grain method" (method D), and the "one-plant-three-grain method" (method E), especially method C, would be disadvantageous in comparison with the "improved ear-to-row method" (method B) and the "conventional ear-to-row method" (method A).

From theoretical considerations it can be shown that a probability of occurrence of an Xs-line containing desirable mutant (pl) and a conditional probability of occurrence of such desirable mutant for each one of the plants in such an X2-line (~2) are not affected by the number of Xs-lines (m), but by the number of plants per X2line (n). Consequently, the expectation of the number of desirable mutants in an X2-population, E(I), can be given by E(I)= mpl(1 -q27t)+np2 /(l -qzm) = mnplpz

where pl + q1 = 1 and ps + q2 = 1.