Solving Linkage Problems
Tip: The most important part is to determine which progeny resulted from parental type gametes, and which from recombinant types.
In a plant, leaf color and leaf shape are controlled by two linked genes. Leaves of the wild-type plant are red. A recessive mutation in this gene causes white leaves. Wild-type leaves are pointed, and a recessive mutation in this gene causes them to be smooth. The following crosses were performed:
pure breeding white, smooth X pure breeding wild type
gives F1: all red, pointed
Now, the next cross:
red, pointed X pure breeding white, smooth
gives F2:
40 white, curly
36 red, pointed
10 white, pointed
14 red, curly
What is the recombination frequency between the gene for color and for shape?
Solution:
First, assign genotype symbols. Since the mutations are recessive to wild-type, use + for the wt allele and lower case letters for the mutant alleles:
w = recessive color allele for white
s = recessive shape allele for smooth
The first cross is: X
giving progeny:
(red, pointed)
The second cross is: X
giving progeny where the genotypes can be unambiguously interpreted from their phenotypes.
The parental gamete types will be: and
, resulting in [white, smooth] and [red, pointy] progeny.
The recombinant gamete types will be: and
, resulting in [white, pointy] and [red, smooth] progeny.
Therefore, the recombination frequency is:
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