Cencepts - Part II
Duplex - AAaa genotype. Random chromosome segregation
results in a 1/6AA:4/6Aa:1/6aa gametic ratio for random chromosome
segregation.
| Alleleomorph |
Designation |
| A |
a1 |
| A |
a2 |
| a |
a3 |
| a |
a4 |
| Gametic
Combinations |
Designation |
| AA |
a1a2 |
| aa |
a3a4 |
| Aa |
a1a3 |
| Aa |
a1a4 |
| Aa |
a2a3 |
| Aa |
a2a4 |
Triplex - AAAa genotype. The random chromosome segregation
ratio is 1/2AA:1/2Aa.
Simplex random chromatid segregation - requires
multivalent formation, crossover between centromere
and locus, and non-disjunction at meiosis I. Double-reduction
can occur a maximum of 1/6 of resulting gamets.

| At
end of Division I |
Segregation
Types |
|
| Alternate |
Adjacent
I |
Adjacent
II |
| chromatid
pairs at the poles |
1+4
2+3 |
1+3
2+4 |
1+2
3+4 |
see
diagram on previous page |
| At
end of Division II |
a1a2,
a3a4
a3a4, a2a1 |
a1a2,
a1a2
a3a4, a3a4 |
a1a2,
a3a4
a2a1, a4a3 |
|
| gametes |
2(a1a3,
a2a4,
a1a4, a2a3) |
a1a1,
a2a2,
a1a2, a2a1,
a3a3, a4a4,
a3a4, a3a4 |
2(a1a3,
a1a4,
a2a3, a2a4) |
These are the only double reductional types = 4/8 =
1/2; e/2 = 1/2; when e=2p=1. For this alternate segregation.
Then a=1/3 because only one form of Adjacent I segregation
results in non-disjunction. The other Adjacent segregation
and the Alternate segregation cannot result in double-reduction.
"e" can be a maximum of unity, e=1 when a
crossover occurs at each meiotic event. Due to segregation
when e=1, only 1/2 of the gametes are double-reduction
types. a=(qea)/2; If q=1,
e=1, and a=1/3, then a=1/6 as a maximum.
a = 1/6 for maximal equation segregation.
However q may be less than one, meaning that multivalents
would not always form. "e" might be less than
1 when the locus is close to the centromere such that
crossover frequency is reduced. In these cases a
would be smaller than 1/6. In fact, there is no exact
segregation ratio for autotetraploids because a
varies with distance of the locus from the centromere.
For the simplex segregation ratio with chromatid segregation
we have the following ratio:
| class
of gametes |
AA |
Aa |
aa |
| probability |
a/4 |
(1-a)/2 |
(2+a)/4 |
| maximum
probability (a=1/6) |
1/24 |
10/24 |
13/24 |
Duplex random chromatid segregation.
| class
of gametes |
AA |
Aa |
aa |
| probability |
(1+2a)/6 |
(2-2a)/3 |
(1+2a)/6 |
| maximum
probability (a=1/6) |
4/18 |
10/18 |
4/18 |
Triplex random chromatid segregation.
| class
of gametes |
AA |
Aa |
aa |
| probability |
(2+a)/4 |
(1-a)/2 |
a/4 |
maximum
probability
(a=1/6) |
13/24 |
10/24 |
1/24 |