Phenotypic Arrays |
Once you have the genotypic array it is fairly easy to get the phenotypic array. Simply specify the "rules" for going from a genotype to a phenotype.
Example 1: In the cross AaBb x AaBb the genotypic array is:
Genotypic Array = 1/16AABB + 1/8AABb + 1/16AAbb + 1/8AaBB + 1/4 AaBb + 1/8Aabb + 1/16aaBB + 1/8aaBb + 1/16aabb.
In this example, let both the A and B Loci show complete dominance and assume that there is no lethality, no epistatic interaction and that the penetrance is 100%. The rules for assigning phenotypes under these conditions are:
Genotype | Corresponding Phenotype |
A_ B_ | AB |
A_bb | Ab |
aaB_ | aB |
aabb | ab |
(where the blank means that any allele is possible). If confused by this terminology click here.
Under these specified conditions, the phenotypes and corresponding genotypes are:
Phenotype | Genotypes | Freq. |
AB | AABB, AABb AaBB, AaBb | 1/16+1/8+ 1/8 + 1/4 = 9/16 |
Ab | AAbb; Aabb | 1/16 + 1/8= 3/16 |
aB | aaBB; aaBb | 1/16 + 1/8= 3/16 |
ab | aabb | 1/16 |
It is often easier to calculate the phenotypic array for each locus separately and then multiply the phenotypic arrays without calculating the intervening genotypic array.
Example 2: Consider the cross of AaBb x Aabb. The Gametic Arrays are given below:
Gametic Array Mother |
|
A Gene | 1/2A + 1/2a |
B Gene | 1/2B + 1/2b |
Gametic Array Father |
|
A Gene | 1/2A + 1/2a |
B Gene | 1/2b + 1/2b= 1b |
The corresponding genotypic arrays are:
Genotypic Array A gene = (1/2A + 1/2a) * (1/2A + 1/2a) = 1/4AA + 1/2Aa + 1/4aa
Genotypic Array B gene = (1/2B + 1/2b) * 1b = 1/2Bb + 1/2bb
Since these genes show complete dominance we can convert the genotypic arrays into phenotypic arrays.
Gene | Genotypic Array | Phenotypic Array |
A | 1/4AA + 1/2Aa + 1/4aa | 3/4A +1/4a |
B | 1/2Bb + 1/2Bb | 1/2B + 1/2b |
The phenotypic array for the A and B genes due to independent assortment is the product of the separate phenotypic arrays.
(3/4A +1/4a) * (1/2B + 1/2b) = 3/8AB + 3/8aB + 1/8aB + 1/8ab
Quick Links for Gametic, Genotypic and Phenotypic Arrays. |
|
1 | Representing Alleles, Genotype and Phenotypes |
2 | Multiplication Method; Gametic Arrays |
3 | Gametic Arrays make Genotypic Arrays |
4 | Phenotypic Arrays |
5 | Arrays and Independent Assortment |
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