Principles of Inheritance and Variation

Mendel's Laws and the Monohybrid CrossThe Dihybrid Cross and Law of Independent AssortmentBeyond Mendel, Sex Determination and Genetic DisordersChromosomal Theory, Linkage, Pleiotropy and Chromosomal Disorders

Mendel's Laws and the Monohybrid Cross

Genetics is the study of how characters (traits) are passed from parents to offspring — the study of inheritance and variation. The foundations were laid by Gregor Mendel, who experimented on the garden pea and is called the "Father of Genetics." He chose the pea because it has clear contrasting traits (such as tall/dwarf, round/wrinkled seeds) and is easy to cross.

A few key terms: a gene is a unit of inheritance; its alternative forms are alleles. An organism is homozygous if its two alleles are the same (TT or tt) and heterozygous if they differ (Tt). The genotype is the genetic make-up; the phenotype is the visible character. An allele that is expressed even in the heterozygous state is dominant; the one that is masked is recessive.

Mendel crossed a pure tall pea (TT) with a pure dwarf pea (tt). In the first generation (F1) all plants were tall (Tt) — this gives Mendel's Law of Dominance (one allele dominates). When the F1 plants were self-crossed, the second generation (F2) showed both tall and dwarf in a ratio of 3 tall : 1 dwarf (phenotypic), and a genotypic ratio of 1 TT : 2 Tt : 1 tt. The reappearance of the dwarf trait shows the Law of Segregation — the two alleles separate during gamete formation, so each gamete carries only one.

1
Worked Example
Example 1: Define genotype and phenotype.
Solution

One is genetic, one is visible.

  • Genotype = the genetic make-up (e.g. Tt).
  • Phenotype = the visible character (e.g. tall).
2
Worked Example
Example 2: In a cross between pure tall (TT) and pure dwarf (tt) peas, what is the F1, and why?
Solution

Apply the law of dominance.

  • All F1 plants are Tt and tall.
  • Because the tall allele (T) is dominant over dwarf (t).
3
Worked Example
Example 3: State the F2 phenotypic and genotypic ratios of a monohybrid cross.
Solution

Self-cross the F1 (Tt × Tt).

  • Phenotypic ratio = 3 tall : 1 dwarf.
  • Genotypic ratio = 1 TT : 2 Tt : 1 tt.

Key Points

    • Mendel (pea) = Father of Genetics. Genealleles; homozygous (TT/tt) vs heterozygous (Tt); genotype vs phenotype; dominant vs recessive.
    • Law of Dominance: F1 of TT × tt is all tall (Tt).
    • Law of Segregation: alleles separate in gametes; F2 = 3:1 (phenotype), 1:2:1 (genotype).
✎ Quick Check — 2 questions0 / 2
Q1.The phenotypic ratio of a monohybrid cross in the F2 generation is:
Explanation: A monohybrid F2 shows a 3:1 phenotypic ratio.
Q2.An organism with two different alleles (Tt) is said to be:
Explanation: Tt has two different alleles, so it is heterozygous.

The Dihybrid Cross and Law of Independent Assortment

Mendel also studied the inheritance of two traits at the same time — a dihybrid cross. For example, he crossed pea plants differing in seed shape and seed colour: round-yellow seeds (RRYY) with wrinkled-green seeds (rryy). Round (R) is dominant over wrinkled (r), and yellow (Y) over green (y).

In the F1, all seeds were round and yellow (RrYy), as expected from dominance. When the F1 was self-crossed, the F2 showed four types of seeds in the ratio 9 round-yellow : 3 round-green : 3 wrinkled-yellow : 1 wrinkled-green — the famous 9:3:3:1 ratio. Notice that new combinations (round-green and wrinkled-yellow) appeared that were not in the parents.

This result gave Mendel's third principle, the Law of Independent Assortment: when two pairs of traits are inherited together, each pair separates and is passed on independently of the other. In other words, the allele a gamete receives for seed shape does not affect which allele it receives for seed colour. This is why new combinations of characters appear in the offspring. (We now know this holds for genes on different chromosomes; genes that are close together on the same chromosome may be inherited together — called linkage.)

1
Worked Example
Example 1: What is a dihybrid cross?
Solution

It tracks two traits.

  • A dihybrid cross studies the inheritance of two pairs of traits at once.
2
Worked Example
Example 2: State the F2 phenotypic ratio of a dihybrid cross.
Solution

Self-cross the F1 (RrYy).

  • The ratio is 9 : 3 : 3 : 1.
3
Worked Example
Example 3: What does the Law of Independent Assortment state?
Solution

Trait pairs separate independently.

  • Each pair of alleles separates and is passed on independently of the other pair.

Key Points

    • Dihybrid cross: two traits at once (e.g. RRYY × rryy → F1 all RrYy round-yellow).
    • F2 ratio = 9:3:3:1; new combinations appear.
    • Law of Independent Assortment: each trait pair separates independently of the other.
    • Holds for genes on different chromosomes; close genes show linkage.
✎ Quick Check — 2 questions0 / 2
Q1.The F2 phenotypic ratio of a dihybrid cross is:
Explanation: A dihybrid F2 gives the 9:3:3:1 ratio.
Q2.The law that each pair of traits is inherited independently is the Law of:
Explanation: Independent assortment: trait pairs separate independently.

Beyond Mendel, Sex Determination and Genetic Disorders

Inheritance is not always as simple as Mendel's clear dominant/recessive patterns. Some deviations:

  • Incomplete dominance — the heterozygote shows a blend of the two parents. For example, crossing a red-flowered (RR) with a white-flowered (rr) snapdragon gives pink (Rr) flowers; the F2 ratio is 1 red : 2 pink : 1 white.
  • Co-dominance — both alleles are fully expressed together, as in human blood group AB, where both A and B antigens appear.
  • Multiple alleles — a gene has more than two alleles in the population, as for the ABO blood groups (alleles Iᵃ, Iᴮ, i).

Sex determination in humans is by chromosomes. Humans have 23 pairs of chromosomes; one pair is the sex chromosomesXX in females and XY in males. All eggs carry an X; sperm carry either X or Y. If an X-sperm fertilises the egg the child is a girl (XX); if a Y-sperm does, the child is a boy (XY). So the father's sperm decides the sex of the child — an important point against blaming the mother.

Some diseases are inherited — genetic disorders. Examples include haemophilia (blood does not clot properly) and colour blindness, both sex-linked (carried on the X chromosome, so they affect males more often); sickle-cell anaemia and thalassaemia (disorders of haemoglobin); and chromosomal disorders such as Down's syndrome (an extra chromosome 21). Understanding these helps in genetic counselling and prevention.

1
Worked Example
Example 1: What is incomplete dominance? Give an example.
Solution

The heterozygote is a blend.

  • Neither allele is fully dominant, so the heterozygote shows an intermediate (blended) phenotype.
  • Example: red × white snapdragon gives pink.
2
Worked Example
Example 2: In humans, who determines the sex of the child, and how?
Solution

Look at the sex chromosomes.

  • The father's sperm carries either X or Y.
  • X-sperm → girl (XX); Y-sperm → boy (XY). So the father determines the sex.
3
Worked Example
Example 3: Why does haemophilia affect males more than females?
Solution

It is sex-linked (on the X chromosome).

  • Males have only one X, so a single faulty allele shows the disorder.
  • Females have two Xs, so a normal allele on the other X usually masks it.

Key Points

    • Deviations: incomplete dominance (pink snapdragon, 1:2:1), co-dominance (blood group AB), multiple alleles (ABO).
    • Sex determination: XX female, XY male; father's sperm (X or Y) decides the child's sex.
    • Genetic disorders: sex-linked haemophilia & colour blindness; sickle-cell anaemia, thalassaemia; chromosomal Down's syndrome (extra chr-21).
✎ Quick Check — 2 questions0 / 2
Q1.Pink flowers from a red × white cross are an example of:
Explanation: A blended (pink) heterozygote shows incomplete dominance.
Q2.In humans, the sex chromosomes of a male are:
Explanation: Males are XY; females are XX.

Chromosomal Theory, Linkage, Pleiotropy and Chromosomal Disorders

After Mendel, scientists found that genes are carried on chromosomes. The chromosomal theory of inheritance (Sutton and Boveri) states that genes are located on chromosomes and that the behaviour of chromosomes during meiosis (their pairing and separation) exactly parallels the behaviour of Mendel's factors — which is why genes are inherited the way they are.

Genes on the same chromosome tend to be inherited together — this is linkage. However, during meiosis, paired chromosomes can exchange segments by crossing over, which separates linked genes and produces new combinations (recombination). The farther apart two genes are on a chromosome, the more often crossing over occurs between them.

Inheritance can be more complex than one-gene-one-trait. In pleiotropy, a single gene affects several different traits at once (for example, the sickle-cell gene affects the blood and, through it, many organs; phenylketonuria is another example). The human blood groups also show multiple alleles (the ABO system) and the separate Rh factor (Rh-positive or Rh-negative), which is important during pregnancy and blood transfusion.

Sex determination differs among organisms: in humans it is XX (female)/XY (male); in birds the system is reversed — ZZ is male and ZW is female; in honey bees sex depends on the number of chromosome sets (haplodiploidy) — fertilised (diploid) eggs become females, while unfertilised (haploid) eggs become males (drones).

Errors in chromosome number cause chromosomal disorders: Down's syndrome (an extra chromosome 21, trisomy-21), Turner's syndrome (a female with a single X, XO), and Klinefelter's syndrome (a male with an extra X, XXY).

1
Worked Example
Example 1: What is the chromosomal theory of inheritance?
Solution

Genes are on chromosomes.

  • It states that genes are located on chromosomes.
  • The pairing and separation of chromosomes in meiosis parallels Mendel's factors.
2
Worked Example
Example 2: What is pleiotropy? Give an example.
Solution

One gene, many effects.

  • Pleiotropy is when a single gene affects several traits.
  • Example: the sickle-cell gene (or phenylketonuria).
3
Worked Example
Example 3: How is sex determined in honey bees?
Solution

It depends on ploidy.

  • Fertilised (diploid) eggs become females.
  • Unfertilised (haploid) eggs become males (drones) — haplodiploidy.

Key Points

    • Chromosomal theory (Sutton & Boveri): genes on chromosomes; meiosis parallels Mendel's factors.
    • Linkage (genes on same chromosome inherited together) broken by crossing over → recombination.
    • Pleiotropy: one gene, many traits; blood groups = multiple alleles (ABO) + Rh factor.
    • Sex determination: humans XX/XY, birds ZZ/ZW, honey bees haplodiploidy.
    • Chromosomal disorders: Down's (trisomy-21), Turner's (XO), Klinefelter's (XXY).
✎ Quick Check — 2 questions0 / 2
Q1.Genes located on the same chromosome that are inherited together show:
Explanation: Genes on the same chromosome tend to be inherited together — linkage.
Q2.A male with an extra X chromosome (XXY) has:
Explanation: Klinefelter's syndrome is XXY (a male with an extra X).