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Genetic 342 A&B Kenneth G Wilson Professory of Botany |
Linkage Predictions
Linkage destroys the beauty of prediction inherent in genetics. A. H Sturtevant and T. H. Morgan developed mapping to allow prediction. The following calculations allow us to predict assortment outcomes from crosses.
Using map data to predict the progeny of the cross a+b+/ab with ab/ab
Let f =the expected frequency of cross overs
Description | genotype | P | f=.1 | N=1000 |
Parental type one |
a+ b+ | (1-f)/2 | .45 | 450 |
Parental type two | a b | (1-f)/2 | .45 | 450 |
Recombinant |
a+ b | f/2 | .05 | 50 |
Recombinant | a b+ | f/2 | .05 | 50 |
Example: If genes a and b are twenty map units apart (ie. f= .2) what is the expected progeny from a cross between an organism that is heterozygous for a and b is test crossed to an organism that is ab/ab. Assume that one parent was a+ b/a+ b. What is the probability that the double recessive will be found in the progeny?
Description | genotype | P | f=.2 | N=1000 |
Parental type one |
a+ b | (1-f)/2 | .40 | 400 |
Parental type two | a b+ | (1-f)/2 | .40 | 400 |
Recombinant |
a b | f/2 | .10 | 100 |
Recombinant | a+ b+ | f/2 | .10 | 100 |
The answer is P = 0.10
How does this problem change for three linked loci?
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