- Explain genetics as the study of biological information flow.
- Distinguish transmission genetics from molecular genetics.
- Use Mendel's monohybrid results to explain the law of segregation.
- Relate alleles, genotypes, and phenotypes using modern genetic terminology.
- Predict the outcome of a test cross.
- Use a dihybrid cross to explain the law of independent assortment.
Genetics and the Flow of Biological Information
Genetics examines how biological information is inherited and expressed.
Humans practiced genetics long before they understood its principles. For more than 10,000 years, selective breeding helped people domesticate plants and animals. Examples include horses, Egyptian date palms and donkeys, and sunflowers in the Americas. Corn provides a striking case: farmers repeatedly selected useful features of teosinte, a small grass from the Mexican highlands, eventually producing modern maize with much larger kernels.
Genetics has two main branches. Transmission genetics follows information between generations as genes pass from parents to offspring through gametes, or through cell division in bacteria. Molecular genetics follows information inside cells and organisms.
This information pathway is the central dogma of molecular biology. DNA also replicates so its information can be passed on when cells divide. The first part of this lesson focuses on transmission genetics and Mendel's laws of heredity.
Goss and the Missing Numbers
Earlier breeding experiments revealed patterns, but qualitative descriptions concealed their numerical structure.
People could cross plants for centuries without discovering general laws of inheritance because breeders mainly sought better crops and animals, not an explanation of heredity. An experiment reported by Goss in 1824 shows the limitation of that practical approach.
Goss crossed plants grown from a yellow pea and a green pea. Every pea produced by the cross was yellow. He grew those yellow peas into plants and let them self-fertilize. Some pods contained only yellow seeds, many contained both colors, and some contained only green seeds.
Green peas taken from mixed or all-green pods produced plants whose self-fertilized offspring were entirely green. Yellow peas from all-yellow pods again produced some all-yellow pods and some mixed-color pods. Goss described these outcomes with words such as “some” and “many,” but he did not report counts. Without numerical data, the inheritance pattern remained difficult to see.
Why was counting peas essential for discovering an inheritance law, and what could Goss have learned by recording exact totals?
Exact counts would have exposed repeatable numerical ratios instead of leaving the results as vague categories. Those ratios could then support a predictive model of inheritance.
Mendel's Monohybrid Experiment
Mendel used true-breeding lines and numerical results to follow one trait at a time.
Mendel began with true-breeding yellow and green pea lines. This controlled starting point let him attribute later differences to the cross itself. A cross that tracks only one character is called a monohybrid cross.
When Mendel crossed the true-breeding lines, every pea in the first filial, or F1, generation was yellow. He grew these F1 peas and allowed the plants to self-fertilize. Among roughly 8,000 F2 seeds, about 6,000 were yellow and 2,000 were green, giving a yellow-to-green ratio near 3:1.
F2 green peas bred true when self-fertilized. Mendel also grew 519 F2 yellow peas. Of those plants, 166 produced only yellow seeds, while 353 produced both yellow and green seeds. Thus, approximately one-third of the yellow F2 peas bred true and two-thirds did not.
A Model for Segregation
Two inherited factors separate into gametes and recombine randomly at fertilization.
- An individual carries two factors for each trait.
- A true-breeding yellow plant can be written as AA, while a true-breeding green plant can be written as aa.
- Only one factor enters each gamete. AA plants therefore make A gametes, and aa plants make a gametes.
- Fertilization gives each F1 offspring one factor from each parent, producing Aa.
- The F1 peas are yellow because A is dominant and a is recessive.
An Aa plant makes equal proportions of A and a gametes. During self-fertilization, pollen and eggs combine randomly. A Punnett square displays the four equally likely combinations.
| Egg gamete | A pollen | a pollen |
|---|---|---|
| A | AA | Aa |
| a | Aa | aa |
- 1/4 are AA and breed true for yellow.
- 1/2 are Aa, appear yellow, and do not breed true.
- 1/4 are aa and breed true for green.
The genotype ratio is 1 AA : 2 Aa : 1 aa. Because both AA and Aa are yellow, the phenotype ratio is 3 yellow : 1 green. Among the yellow offspring, one-third are AA and two-thirds are Aa, which also explains Mendel's breeding results.
Modern Terms for Mendel's Factors
Modern vocabulary distinguishes allele combinations from the traits they produce.
| Term | Meaning | Pea-color example |
|---|---|---|
| Dominant allele | The allele that determines the phenotype in a heterozygote. | A specifies yellow. |
| Recessive allele | Its phenotype is hidden in a heterozygote and returns when the recessive pair is present. | a specifies green. |
| Genotype | The allele combination carried by an individual or gamete. | AA, Aa, aa, A, or a. |
| Phenotype | The observable form of a trait. | Yellow or green peas. |
| Homozygous | Having two matching alleles. | AA or aa. |
| Heterozygous | Having two different alleles. | Aa. |
Genotypes determine phenotypes in this example: AA and Aa produce yellow peas, whereas aa produces green peas. Gametes have genotypes too; an individual pollen grain or egg carries either A or a.
Testing the Law Across Crosses and Traits
Mendel used predictions and repeated trait patterns to test segregation.
A test cross pairs a heterozygous individual, Aa, with a homozygous recessive individual, aa. The aa parent makes only a gametes, while the Aa parent makes equal proportions of A and a gametes.
This successful prediction showed that a 3:1 ratio is not produced by every cross. Mendel's law could predict different offspring ratios from different parental genotypes, making him the first to predict phenotype proportions accurately from a genetic cross.
Mendel examined seven pea-plant traits using true-breeding lines:
- Flower color: purple or white
- Pea color: yellow or green
- Pea shape: round or wrinkled
- Pod color: green or yellow
- Pod shape: inflated or constricted
- Flower position: axial along the stem or terminal at the top
- Plant height: tall or short
For each monohybrid cross, the F1 displayed the dominant phenotype, and self-fertilized F1 plants produced an F2 ratio near three dominant phenotypes to one recessive phenotype. Repeating the pattern across all seven traits supported the generality of segregation.
Following Two Traits at Once
A dihybrid cross reveals the characteristic 9:3:3:1 phenotype ratio.
Mendel crossed a true-breeding round, yellow line, RRYY, with a true-breeding wrinkled, green line, rryy. Round is dominant to wrinkled, and yellow is dominant to green. Every F1 pea was round and yellow with genotype RrYy.
Because each gamete receives one allele from each gene, an RrYy plant can make four gamete genotypes in equal proportions:
| Gamete genotype | Allele combination |
|---|---|
| RY | R with Y |
| Ry | R with y |
| rY | r with Y |
| ry | r with y |
Self-fertilization combines four pollen types with four egg types, producing 16 possible combinations. Counting their phenotypes gives the characteristic dihybrid ratio:
- 9/16 round and yellow: at least one R and at least one Y
- 3/16 round and green: at least one R together with yy
- 3/16 wrinkled and yellow: rr together with at least one Y
- 1/16 wrinkled and green: rryy
The resulting phenotype ratio is 9:3:3:1. Within the round-yellow group, only the RRYY genotype breeds true for both dominant traits; the other round-yellow combinations are heterozygous at one or both genes. The rryy offspring are true-breeding for both recessive traits.
Independent Assortment
Alleles of different genes enter gametes independently in Mendel's dihybrid crosses.
For an RrYy plant, receiving R rather than r does not determine whether the same gamete receives Y or y. This independence makes RY, Ry, rY, and ry equally likely and produces the observed 9:3:3:1 ratio after self-fertilization.
Consider the alternative. If R always entered gametes with Y and r always entered with y, an RrYy plant would make only RY and ry gametes. Its self-cross would produce three round-yellow offspring for every one wrinkled-green offspring, rather than 9:3:3:1. Mendel repeatedly obtained 9:3:3:1 with different pairs of traits, supporting his second law.
If an RrYy plant produced only RY and ry gametes, what phenotype ratio would its self-cross produce, and how would that differ from Mendel's result?
The cross would produce a 3:1 ratio of round-yellow to wrinkled-green offspring. Mendel instead observed four phenotype classes in a 9:3:3:1 ratio.
Common misconceptions
Watch out: Every genetic cross should produce a 3:1 phenotype ratio.
Instead: The ratio depends on the parental genotypes and the number of traits followed. Aa × Aa gives 3:1, Aa × aa gives 1:1, and an RrYy self-cross gives 9:3:3:1.
Watch out: A recessive allele is lost when its trait is absent from the F1 generation.
Instead: The recessive allele remains in an Aa individual but its phenotype is masked. Segregation can bring two recessive alleles together again in the F2 generation.
Lesson recap
- Genetics studies biological information flow. Transmission genetics follows inheritance between generations, while molecular genetics follows DNA replication and the DNA-to-RNA-to-protein pathway within cells.
- Mendel's careful counting revealed patterns that qualitative reports such as Goss's had not exposed.
- The law of segregation explains why an Aa self-cross gives a 1:2:1 genotype ratio and a 3:1 phenotype ratio.
- Alleles are gene versions; genotype is the allele combination, phenotype is the observed trait, homozygous means matching alleles, and heterozygous means different alleles.
- A test cross of Aa × aa predicts equal proportions of dominant and recessive phenotypes.
- The law of independent assortment explains the four equal gamete types from RrYy and the 9:3:3:1 phenotype ratio in a dihybrid self-cross.
Together, Mendel's two laws made inheritance quantitatively predictable. The next step is to connect his alleles with the chromosomes that carry genetic information in cells.