
and one-fourth will be green. Assuming that two events are independent, elementary
probability theory gives the chance of them occurring simultaneous ly as the product of
the two probabilities:
1
4
1
4
¼
1
16
. This is the proportion shown in the Punnett square to
be both green and wrinkled.
If the seed color and shape genes were linked by being on the same chromosome, the
gametes listed across the top of Figure 6.2 would not occur with equal probability. For
example, suppose that the two genes were so close together that meiotic recombination
practically never separates them. Then one chromosome comes from the YYRR plant and
the other from the yyrr. Only YR and yr gametes would be produced, and one-fourth of
the next generation would have green, wrinkled seeds. Of course, the strength of the link-
age can vary, producing a range of distributions.
By looking at the proportions of different phenotypes in breeding experiments, geneti-
cists can determine if genes are linked, establishing that they are on the same chromo-
some. By examining the strength of the linkage, a relative distance can be determined
between genes. This led to the development of genetic mapping, the determination of
the relative position of genes on a chromosome. Genetic mapping was invented by an
undergraduate student, Alfred H. Sturtev ant, while he was working with Thomas H. Morgan,
the scientist who first explained linkage.
A gene may have more than two types of alleles associated with it. For example, the
basic human blood types A, B, AB, and O are caused by the combination of three alleles:
A, B, and O. Allele A results in a sugar called type A to occur on the surface of a person’s
red blood cells. Allele B results in a different sugar called type B. Allele O does not result
in the formation of any sugar. Alleles A and B are codominant; that is, both are expressed.
A person who is heterozygous AB produces cells with both sugars and has blood type AB.
A person with genotype either AA or AO will have only type A sugar and will have blood
type A. Genotypes BB or BO result in type B blood. Allele O is recessive, so to have type
O blood, a person must have homo zygous genotype OO. In this case, a single gene with
three alleles results in six possible genotypes but only four phenotypes.
Some factors, such as height or stature, are controlled by two or more pairs of genes,
giving rise to a range of phenotypes. Traits resulting from two or more genes are called
polygenic. In addition, some alleles can be associated with more than one phenotypic
effect. Other genes can have their expression modified by environmental effects.
6.1.2 Sex Chromosomes
Recall that the somatic cells in animals contain chromosomes in pairs that are similar.
After replication, each chromosome looks like a pair of sausages tied together. The
pairs may have varying lengths and they may be bound at different points. If bound
near the middle, they resemble an X. If bound near one end, they look like a Y. However,
in most animals one pair can be dissimilar. The chromosomes of one of the 23 pairs
in humans are called sex chromosomes. It contains the genes that determine a person’s
gender, among other things. In females, both chromosomes of this pair are X’s; in
males one of the pair is much smaller and has the Y form. The Y chromosome contains
a gene for a factor that stimulates the formation of male sexual structures, and thence
the male sex hormones. The absence of this gene results in the formation of a female.
Thus, each cell in a female contains an XX pair of sex chromosomes, and each cell in
a male contains an XY pair. Chrom osomes other than the sex chromosomes are called
autosomes.
120 GENETICS