When several genes control a single character. It is observed that the phenotypical ratio is modified and such modification is due to the number of doses of genes.Hence,the greater number of gene the greater will be effect.This type of interaction is called quantitative interaction or cumulative interaction or polygenic interaction.
Example:- Human Skin colour-
Human skin colour depends upon the presence
of a Pigment i.e Melanin.The total amount of melanin pigment in a person
depends upon the number of genes. Iaven port(1913) observed the skin colour in
Negroes,which is control by the action of two dominant gene namely A and B with
cumulative effect.But the skin colour of white is due to the presence of
recessive alleli a & b.Thus A negro has a Genotype AABB and the Genotype of
white aabb. Marriage between a negro and a white results in following ways in
both F1
and F2.
AABB * aabb
(Negroes) (White)
Gamete-
AB
ab

F1:- AaBb - All are Mullatoes
Gametes:- AB Ab ab ab * AB
Ab ab ab
AB
|
Ab
|
aB
|
ab
|
|
AB
|
AABB
Negroes
|
AABb
Dark
|
AaBB
Dark
|
AaBb
Mullatoes
|
Ab
|
AABb
Dark
|
Aabb
Mullatoes
|
AaBb
Mullatoes
|
Aabb
Light
|
aB
|
AaBB
Dark
|
AaBb
Mullatoes
|
aaBB
Mullatoes
|
aaBb
Light
|
ab
|
AaBb
Mullatoes
|
Aabb
Light
|
aaBb
Light
|
Aabb
White
|
In F1 is gives an intermediate
colour which is called Mullato.Hence the mullato possses the genotype AaBb.in
that way the negroes have 4 dominant gene,the whites have 4 recessive gene
whereas the mullatoes have 2 dominant and 2 recessive gene.
On selfing these F1 mullatoes 16 individuel
appear with various colour of skin depending upon the number of dominant
gene.Thus out of the 16 individuels only one has 4 dominant pigment gene and
that become a negro,4 have 3 dominant pigment geneand they become dark,6 have 2
dominant pigment gene which become mallatoes.4 have only one dominant pigment gene
which has got light colour and finally only one has no dominant pigment gene
which got the white colour.
In this way the ratio become 1:4:6:4:1. This
indicate production of mallato or any other colour is due to cumolative os
several gene.
The other example of such polygenic
inheritance comes from –
(1)Colour of the grain in Wheat
(2)Eye colour in Drosophilla
(3)Body size in chicken
(4)Corolla length in Nicotina
(5)Coat colour in Cattles
(6)Height in man
Colour of grain in Wheat
Nilsson & Ehile made a very interesting
study on colour of grain in wheat.There are two colour i.e dark red and white
are due to the pairs of dominant gene AABB and recessive gene aabb
respectively.In F1 they produce intermediate or medium coloured grains.But in
F2(by self polinating) they produce offspring like 1 dark red,6 intermediate or
medium ,4 red,4 light redand 1 white.
Corolla length in Nicotina
East studied the inheritance in corolla
length of Nicotina between two varieties of species-one with average length(40
mm) & other with(93 mm) in length.He crossed this two varieties and in F1
he has got intermediate between the two parent.Where as in F2 he got more
variations.Finally he come to the conclusion that the length of Corolla was
control by 6 to 8 gene pairs.
Body size in chicken
According to Punnet 4 pairs of dominant gene
are responsible for the development of body size in chicken.Thus,the body size
is determined by the number or quantity of dominant gene present in the animal.
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