Mendel's Law of Independent Assortment holds true only when genes are located on different (non-homologous) chromosomes. When two or more genes are located on the same chromosome, they tend to be inherited together and do not assort independently. This phenomenon is called gene linkage.
Gene Linkage: The tendency of genes located on the same chromosome to be inherited together during meiosis.
Linked genes violate the Law of Independent Assortment because they travel together on the same chromosome during meiosis (unless separated by crossing over).
All genes present on a single chromosome form a linkage group. The number of linkage groups in an organism equals its haploid chromosome number (n).
| Organism | Haploid Number (n) | Linkage Groups |
|---|---|---|
| Humans (female) | 23 | 23 |
| Humans (male) | — | 24 (22 autosomes + X + Y) |
| Drosophila | 4 | 4 |
| Pea plant | 7 | 7 |
Note: Human males have 24 linkage groups because the X and Y chromosomes are non-homologous and carry different genes, so each forms its own linkage group.
Although linked genes tend to stay together, they can be separated by a process called crossing over.
Crossing Over: The exchange of genetic material (segments of DNA) between non-sister chromatids of homologous chromosomes.
Crossing over occurs during Prophase I of meiosis, specifically at the Pachytene stage, when homologous chromosomes are paired (synapsed) as bivalents.
After crossing over, two categories of offspring are produced:
| Type | Description | Frequency |
|---|---|---|
| Parental types | Offspring with the same phenotypic combinations as the parents (linked genes stayed together) | More frequent |
| Recombinant types | Offspring with new combinations of traits (crossing over separated linked genes) | Less frequent |
Because crossing over does not occur in every meiotic division, parental types always outnumber recombinant types when genes are linked.
The recombination frequency (also called crossover frequency) is the proportion of recombinant offspring produced in a cross:
The probability of crossing over between two genes is directly proportional to the physical distance between them on the chromosome.
Recombination frequencies are used to construct genetic maps (linkage maps). The unit of genetic distance is the centimorgan (cM) or map unit:
Example: If genes A and B show 15% recombination frequency, they are 15 map units (15 cM) apart on the chromosome.