Multiple Gene Traits
By Leos Kral
Simple traits such as coat color
and the merle pattern are due to the actions of single genes. Individual traits
can also be affected by multiple genes. In the preceding article, two forms of
genetic heterogeneity were discussed where multiple genes were responsible for
slightly different but discrete forms of the same trait or for the same form of
a trait.
There
are two other forms of multiple gene based inheritance of a single trait. For
both of these forms, the genetic effect is additive. For one form the
phenotypic effect of the genes is continuously additive
while for the other form, the additive effect upon phenotype is only manifested
after the genetic component accumulates to a threshold level. For purpose of
discussion, I will refer to these types of multigenic
traits as quantitative traits and threshold traits.
Quantitative
Traits
Quantitative
traits are usually measurable. In people, height, weight, and skin color are examples of quantitative traits. Height can be
measured as the number of feet and inches, weight can be measured as the number
of pounds, and skin color can be measured as the
degree of dark pigmentation. Note that these traits can not be grouped into
discrete categories but rather these traits represent a continuous gradient of
variation within the population. While we may arbitrarily classify people as
short, medium or tall, in reality, there are no discrete height measurements
into which all people fall. If heights of all
individuals were measured and the data plotted, the plot would look like the
one in the diagram below. Note the continuous variation in height and the
arbitrary categorization.

Quantitative
traits are determined by the additive action of many genes. To oversimplify a
bit for the sake of explanation, let us assume that height is determined by 5
different genes called A, B, C, D, and E. Each gene has 2 alleles. The
"recessive" alleles a, b, c, d, and e make no contribution to height
and the "dominant" alleles A, B, C, D, and E make equal contribution
to height. An individual who has the genotype aabbccddee
would be of the shortest possible height and an individual who has the genotype
AABBCCDDEE would be of the tallest possible height. Individuals who have the
genotype AaBbCcDdEe would be of average height. Note, that individuals who are AabbCCddEe
and individuals who are aaBBccDDEe would also be of
average height. Why, because the effect of the "dominant" alleles is
additive and all three genotypes that give rise to average height individuals
contain exactly 5 "dominant" out of the possible 10
"dominant" alleles. Which of the dominant alleles are present is not
important. They all contribute equally to the final phenotype. As another
example, note that individuals with Aabbccddee, aabbCcddee, and aabbccddEe
genotypes would be all the same height and just a bit taller than aabbccddee individuals.
How
are quantitative traits inherited? For example, let's say that dad is of the
tallest possible height (AABBCCDDEE) and mom is of the shortest possible height
(aabbccddee). Dad's gamete will contain all
"dominant" alleles (ABCDE) and mom's gametes will contain all
"recessive" alleles. All offspring that result from the fusion of
these gametes will have the genotype AaBbCcDdEe and
thus will be of average height.
Now,
if these average height offspring mate with each other (brother-sister matings [this is illegal in real life, but this is only an
example]), the gametes they produce can be of all possible types ranging from
all "dominant" (ABCDE) to all "recessive" (abcde) and all combinations in between (AbcDE,
aBCDe, abcdE, etc.).
Therefore, the offspring of these brother-sister matings
will be of all possible sizes, and if a large enough number of offspring were to be conceived, the distribution would look very much
like the bell shape curve shown in the diagram earlier in this article.
Ever
wonder why mating two perfectly proportioned dogs does
not result in all perfectly proportioned offspring? That's because most
desirable conformation characteristics are governed by multiple genes with
additive effects. The most desirable dogs are those which are the most average
for many traits. And as the height example illustrates, the average genotype
produces the most variety of gametes with regard to gene combinations and hence
the greatest variety of phenotypes in the offspring produced by those gametes.
Threshold
Traits
In
dogs, an accepted example of a threshold trait is hip dysplasia.
Please note that the actual genetics of canine hip dysplasia
have not been worked out and the following is a hypothetical example made up to
explain the principle of inheritance of this threshold trait.
Let
us assume that 5 additive genes are involved in determining this trait. Let's
call these genes G, H, I, J, and K. Only the dominant alleles contribute to hip
dyspalsia. Individuals who are gghhiijjkk
are not dysplastic and have no chance of being dysplastic. Individuals who are GGHHIIJJKK are dysplastic. If dogs of these two genotypes were mated, all
offspring would be GgHhIiJjKk and would not be dysplastic. Why would they not be dysplastic?
Because they only have 5 dominant alleles and the threshold of expression is 7
dominant alleles. That is, the trait is phenotypically
expressed only if 7 or more of the dominant alleles are present in the genotype
of an individual. Which dominant alleles are present is not important. For
example, both ggHHIIJJKk and GGHHIIJjkk
genotypes would produce hip dyspalsia because both
genotypes contain 7 dominant alleles.
When
trying to minimize diseases such as hip dysplasia
that are inherited as threshold traits, the common practice is to make sure
that the parents are not affected. However, this strategy does very little to
eliminate the condition from the breed. Non-dysplastic
dogs can have a very high propensity to produce dysplastic
offspring if they have a fairly high number of the dominant alleles. For
example, two dogs that each have 6 dominant alleles
can produce a sizable proportion of offspring with 7 or more dominant alleles.
So,
how do you pick breeding stock that minimizes production of dysplastic
offspring? Certainly, you want to check that the sire and dam are non-dysplastic, but you also want to make sure that none of
their parents had dysplastic siblings and their own
siblings were not dysplastic. The two pedigrees below
illustrate the concept.

The
pedigree on the left shows no history of hip dysplasia
and, therefore, it can be concluded that individuals in this pedigree have a
very small number of the dyspalsia producing dominant
alleles. The odds are that offspring produced by individuals from this pedigree
with individuals from similar pedigrees would have a very low probability of
being dyspalstic.
The
pedigree on the right shows a fairly high incidence of hip dysplasia.
The affected individuals have 7 or more of the dysplasia
producing dominant alleles. Any of the phenotypically
normal individuals in this pedigree, while not dysplastic
themselves, probably have a fairly large number of dysplasia
producing dominant alleles. These normal individuals who have dyspalstic siblings, such as the male marked by "x"
should probably not be bred. Of course if the male marked "x"
is an exceptional specimen that the breeder feels must be bred, then care
should taken to find a female from a hip dysplasia
free pedigree (such as the one on the left) to minimize the probability of
production of dysplastic offspring.
Pedigree
analysis is not in itself sufficient to determine if a trait is inherited as a
threshold trait. However, a comprehensive database of Australian Shepherd
pedigree information should be of tremendous value to better understand the
inheritance of those traits shown to be inherited as threshold traits.
Disclaimer
Please
note that the above examples are hypothetical. They were made up to explain the
basic principles of inheritance of additive traits and threshold traits. Also
note that the notion of all dominant alleles having an equal effect toward the
phenotype is an oversimplification. In actuality, alleles of different genes
can have major and minor additive effects. Current research being carried out
to identify genes responsible for canine hip dyspalsia
is geared toward identifying those genes that have the greatest effect.
Copyright 1998, 1999 Leos Kral. Australian Shepherd Health and Genetics Information
Resource and Health Registry. All rights reserved.