Prof. Dr. Larry AdamsAcademic, Author & Researcher

Biology IX: Genetics

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Mendelian Genetics

Mendel's experiments with pea plants (Mendel, 1866) established the rules of inheritance. Key terms: gene, allele, genotype, phenotype, homozygous, heterozygous, dominant, recessive.

  • Law of segregation: the two alleles for a gene separate during gamete formation.
  • Law of independent assortment: alleles of different genes assort independently (for genes on different chromosomes).
  • Monohybrid cross: Aa × Aa gives a 3:1 phenotypic ratio and a 1:2:1 genotypic ratio.
  • Dihybrid cross: AaBb × AaBb gives 9:3:3:1.
  • Test cross: crossing an individual of dominant phenotype with a homozygous recessive reveals its genotype.
  • Probability: the product rule (independent events multiply) and the sum rule (alternative outcomes add). The chance of an Aa × Aa couple having three affected (aa) children is (1/4)³ = 1/64.
  • Pedigrees: identify autosomal dominant, autosomal recessive, and X-linked patterns.

Extensions of Mendel

PatternDescriptionExample
Incomplete dominanceHeterozygote is intermediatePink flowers from red × white
CodominanceBoth alleles expressedAB blood group; sickle cell trait
Multiple allelesMore than two alleles in the populationABO blood groups (Iᴬ, Iᴮ, i)
Sex linkageGenes on the X chromosomeHaemophilia, red-green colour blindness
Linkage and crossing overGenes on the same chromosome are inherited together unless separated by crossing overRecombinant frequency gives map distance
Polygenic inheritanceMany genes affect one traitHeight, skin colour
EpistasisOne gene masks anotherCoat colour in mice
PleiotropyOne gene affects many traitsCystic fibrosis, sickle cell disease

Chi-Squared Test

To test whether observed results fit an expected ratio: χ² = Σ (O − E)² / E, with degrees of freedom = number of classes − 1. The critical values at p = 0.05 are 3.84 (1 df), 5.99 (2 df), and 7.81 (3 df). If χ² is less than the critical value, the difference is not significant, so the data are consistent with the expected ratio (Griffiths et al., 2020).

Population Genetics and Breeding

Use the Hardy-Weinberg equation (Chapter 6). Factors changing allele frequencies: mutation, selection, genetic drift, gene flow, and non-random mating. Plant and animal breeding: artificial selection, hybridization, heterosis (hybrid vigour), inbreeding depression, polyploidy; applications in crops and livestock (Chapter 22).

Common Mistakes

  • Using the wrong ratio in dihybrid crosses with linked genes.
  • Misreading X-linked pedigrees (a carrier mother can pass the allele to sons).
  • Concluding that a significant chi-squared value shows the hypothesis is "proved" (it allows rejection or non-rejection).

CHAPTER 12