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Mendel’s Principle of Independent Assortment explains
dihybrid results.
The Principle of Independent Assortment states that different
traits segregate independently of one another. The physical basis
of independent assortment is the independent behavior of different
pairs of homologous chromosomes during meiosis I.
12.4 Probability: Predicting
the Results of Crosses
Two probability rules help predict monohybrid cross results.
The rule of addition states that the probability of two independent
events occurring is the sum of their individual probabilities. The rule
of multiplication, or product rule, states that the probability of two
independent events both occurring is the product of their individual
probabilities.
Dihybrid cross probabilities are based on monohybrid
cross probabilities.
A dihybrid cross is essentially two independent monohybrid
crosses. The product rule applies and can be used to predict the
cross’s outcome.
12.5 The Testcross: Revealing Unknown
Genotypes
(see gure 12.10)
In a testcross, an unknown genotype is crossed with a homozygous
recessive genotype.
The F
1
offspring will all be the same if the
unknown genetoype is homozygous dominant. The F
1
offspring will
exhibit a 1:1 dominant:recessive ratio if the unknown genotype
is heterozygous.
12.6 Extensions to Mendel
In polygenic inheritance, more than one gene can a ect a single trait.
Many traits, such as human height, are due to multiple additive
contributions by many genes, resulting in continuous variation.
In pleiotropy, a single gene can a ect more than one trait.
A pleiotropic effect occurs when an allele affects more than one trait.
These effects are dif cult to predict.
Genes may have more than two alleles.
There may be more than two alleles of a gene in a population. Given
the possible number of DNA sequences, this is not surprising.
Dominance is not always complete.
In incomplete dominance the heterozygote exhibits an intermediate
phenotype; the monohybrid genotypic and phenotypic ratios are the
same (see gure 12.12). Codominant alleles each contribute to the
phenotype of a heterozygote.
Phenotypes may be a ected by the environment.
Genotype determines phenotype, but the environment will have
an effect on this relationship. Environment means both external
and internal factors. For example, in Siamese cats, a temperature-
sensitive enzyme produces more pigment in the colder peripheral
areas of the body.
In epistasis, interactions of genes alter genetic ratios.
Genes encoding enzymes that act in a single biochemical pathway are
not independent. In corn, anthocyanin pigment production requires
the action of two enzymes. Doubly heterozygous individuals for these
enzymes yield a 9:7 ratio when self-crossed (see gure 12.15).
12.1 The Mystery of Heredity
Early plant biologists produced hybrids and saw puzzling results.
Plant breeders noticed that some forms of a trait can disappear in one
generation only to reappear later, that is, they segregate rather
than blend.
Mendel used mathematics to analyze his crosses.
Mendel’s experiments involved reciprocal crosses between true-
breeding pea varieties followed by one or more generations of self-
fertilization. His mathematical analysis of experimental results led to
the present model of inheritance.
12.2 Monohybrid Crosses: The Principle
of Segregation
(see gure 12.5)
The F
1
generation exhibits only one of two traits, without blending.
Mendel called the trait visible in the F
1
the dominant trait; the other
he termed recessive.
The F
2
generation exhibits both traits in a 3:1 ratio.
When F
1
plants are self-fertilized, the F
2
shows a consistent ratio
of 3 dominant:1 recessive. We call this 3:1 ratio the Mendelian
monohybrid ratio.
The 3:1 ratio is actually 1:2:1.
Mendel then examined the F
2
and found the recessive F
2
plants
always bred true, but only one out of three dominant F
2
bred true.
This means the 3:1 ratio is actually 1 true-breeding dominant:2 non-
true-breeding dominant:1 recessive.
Mendel’s Principle of Segregation explains monohybrid observations.
Traits are determined by discrete factors we now call genes. These
exist in alternative forms we call alleles. Individuals carrying two
identical alleles for a gene are said to be homozygous, and individuals
carrying different alleles are said to be heterozygous. The genotype
is the entire set of alleles of all genes possessed by an individual. The
phenotype is the individual’s appearance due to these alleles.
The Principle of Segregation states that during gamete formation,
the two alleles of a gene separate (segregate). Parental alleles then
randomly come together to form the diploid zygote. The physical
basis of segregation is the separation of homologues during anaphase
of meiosis I.
The Punnett square allows symbolic analysis.
Punnett squares are formed by placing the gametes from one parent
along the top of the square with the gametes from the other parent
along the side. Zygotes formed from gamete combinations form the
blocks of the square (see gure 12.6).
Some human traits exhibit dominant/recessive inheritance.
Certain human traits have been found to have a Mendelian basis (see
table 12.1). Inheritance patterns in human families can be analyzed
and inferred using a pedigree diagram of earlier generations.
12.3 Dihybrid Crosses: The Principle
of Independent Assortment
(see gure 12.9)
Traits in a dihybrid cross behave independently.
If parents differing in two traits are crossed,
the F
1
will be all
dominant. Each F
1
parent can produce four different gametes that
can be combined to produce 16 possible outcomes in the F
2
. This
yields a phenotypic ratio of 9:3:3:1 of the four possible phenotypes.
Chapter Review
chapter
12
Patterns of Inheritance
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