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INTRODUCTION TO PLANT BREEDING
AGRONOMY 815 / COURSE NOTES

P. STEPHEN BAENZIGER, 338 Keim Hall, 472-1538
DEPARTMENT OF AGRONOMY / UNIVERSITY OF NEBRASKA
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THE EFFECT OF SELECTION ON QUANTITATIVE TRAITS
Fehr, Chapt. 17 — very complicated, use as a secondary reference
Briggs & Knowles, p. 196-198.
Allard, Chapt 10.
Simmonds, p. 97-110.
Falconer, Chapt. 11.
Selection with a well-expressed major genes is simple; with polygenes it is not simple because they show small individual effects and relatively large environmental ones. For any individual locus, s (fitness) is usually very near 0. Also, we cannot determine the effect of selection at a locus (this may change with RFLPs or other genetic markers).
If S is the mean phenotypic value of the selected parents, expressed as a deviation from the population mean, and R is the mean deviation of the their offspring then S is the selection differential and R is the response. They are related by:

H2 (broad sense heritability).
One of the main uses or needs for determining the heritability of a character is that it can be used in prediction equations. The prediction is good only for one generation in that selection will change the gene frequencies and will reduce variability, hence, heritability (however, generally the changes in heritability are small). For the prediction, can use previously determined values for heritability for the population. Though not technically correct because heretability is unique to a population, we can obtain an idea of heretability from other "similar" populations.
Example: Have a h2 = .61. Mean of the total population for yield is 40 bu/a. The selected parents have a mean of 50 bu/a. Hence, the selection differential is 10 bu/a.
R = (.61)(10) = 6.1 bu/a. The resulting population should have a mean of 40 + 6.1 = 46.1 bu/a.
If the phenotypic values are distributed as a normal curve and selection is by truncation then:
S = is p where i is the intensity of selection.
i is a property of the normal curve and is determined only by the percentage that are selected. For values of i between 0.1 and 0.001, i = 1.13 + 0.731 log (1/k) where k is the proportion of the population that is selected. This approximation assumes at least 20 individuals in the unselected population.
RAMIFICATIONS:
Note — can obtain an estimate of heritability which is called realized heritability by:
R/S = h2. Difficulty is that realized heritability is often confounded and does not accurately estimate heritability.
Type of empirical responses to selection and the interpretation of results.
FAMILY SELECTION — superior progenies are identified on the basis of replicated field trials preferably grown in more than one environment.
3 phases in family selection:
HALF-SIB FAMILY TESTING AND SELECTION
EAR-TO-ROW method in corn . . . select good ear and plant in row harvest best ear from best rows.
Method: A modification of this method was proposed by Lonnquist in 1964. This involves selection within HS families as well as among HS's combined selection. Shown to be very effective in improving yield in corn. (Webel & Lonnquist. 1967. Compton & Bahadur. 1977) This method has been modified further (Compton & Comstock. 1976). FULL-SIB FAMILY TESTING AND SELECTION Method: FS selection requires only 2 generations per cycle when plant to plant crosses are made between plants from different selected families because recombination and family formation are accomplished in one operation. Note not as complete a recombination cycle. (Moll & Robinson. 1967. Der Zuchter; Moll & Stuber. 1971. Crop Sci.) S1 Method: This method has not only proved very effective in improving performance in cross pollinated crops, but it has increasingly been utilized in naturally self-pollinated species. It tends to give great within and among family differences. Use of selfing makes it an excellent approach for improving self-pollinated crops. e.g., sorghum ( Ross.1978. 33rd Ann. Corn & Sorghum Res. Conf.) S2
Greater gains per cycle should be possible but an extra generation is necessary. (Horner et al., 1973) O.K. if the extra generation can be done in an environment between selection environments.
S1
Method:
CHOICE OF A TESTER IS CRITICAL
INTERPOPULATION IMPROVEMENT
Rationale . . . Breeding systems based upon additive genetic variance not likely to be the most efficient where the trait for which selection is practiced exhibits heterosis. In such cases heritability tends to be low and the non-additive genetic variances may be of considerable magnitude.
A system designed to make maximum use of all types of genetic variance was proposed by Comstock et al., 1949. Agron. J. 41. Reciprocal Recurrent Selection procedures are all based on this original scheme of Comstock, Robinson and Harvey's.
BASIC PROCEDURE:
GSA/SCA
Two important terms that describe how the parent lines of a hybrid interact are General Combining Ability (GCA, also known as average combining ability) and Specific Combining Ability (SCA). General combining ability refers to how a line, in general, "combines" (forms hybrids) with other lines as measured for a trait. General combining ability is often considered as an indicator of additive gene action. Specific combining ability refers to how a line specifically combines with another line and includes both additive gene and dominant gene action. One way to visualize the differences between GCA and SCA is to consider a series of crosses among lines (inbred or populations). The crosses can be analyzed as a factorial design where the effect of individual lines is the main effect (estimates GCA) and the interactions of the individual lines (equivalent to the interactions of the main effects) estimates SCA. The statistical model would
be:
where:
The ANOVA for diallel crosses (n(n-1)/2 crosses) of n parents is often written as follows:
| Source |
df |
|
Replications Crosses Error |
r -1 [n(n-1)/2] -1 (r-1){n(n-1)/2-1} |
|
Total |
rn-1 |
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