Definitions

Double
Reduction In Autotetraploids

Tetraploid
Definitions

Concepts - Part I

Concepts - Part II

Concepts - Part III

Determination of Zygote Ratios

Linkage In
Tetraploids

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

Copyright 2000©, Ted Helms

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