BackSpeciation, Hardy–Weinberg Principle, and Phylogenetic Trees: Study Notes
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Speciation and Evolutionary Processes
Hardy–Weinberg Principle: Mathematical Null Hypothesis for Evolution
The Hardy–Weinberg principle provides a mathematical framework to study evolutionary processes by predicting allele and genotype frequencies in a population under specific conditions. It serves as a null hypothesis, allowing biologists to detect deviations caused by evolutionary forces.
Allele Frequencies: For a gene with two alleles (A1 and A2), their frequencies are denoted as p and q, respectively. The sum of allele frequencies is .
Genotype Frequencies: Three genotypes are possible: A1A1, A1A2, and A2A2. Their frequencies are predicted by the equation .
Hardy–Weinberg Equation: = frequency of A1A1 genotype = frequency of A1A2 genotype = frequency of A2A2 genotype
Assumptions: The model assumes random mating, no natural selection, no genetic drift, no gene flow, and no mutation.


Testing Hardy–Weinberg Equilibrium
To determine if a population is in Hardy–Weinberg equilibrium, biologists follow four steps:
Estimate genotype frequencies from sample data.
Calculate observed allele frequencies from genotype frequencies.
Use observed allele frequencies to calculate expected genotype frequencies using Hardy–Weinberg equations.
Statistically compare observed and expected values to assess equilibrium.

Example Calculations
Consider a population of lizards with three genotypes: GG, Gg, and gg. To calculate allele frequencies:
Frequency of G = frequency of GG + ½ frequency of Gg
Frequency of g = frequency of gg + ½ frequency of Gg
Expected genotype frequencies under Hardy–Weinberg equilibrium are calculated using the observed allele frequencies.
Speciation: Formation of New Species
Overview of Speciation
Speciation is the evolutionary process by which new biological species arise. It involves two main steps:
Genetic Isolation: A barrier to gene flow isolates populations within a species.
Genetic Divergence: Mutation, natural selection, and genetic drift cause populations to diverge genetically.

Allopatric Speciation
Allopatric speciation occurs when populations become geographically separated, leading to genetic isolation and divergence.
Dispersal: Movement of individuals to a new location.
Vicariance: Physical splitting of a habitat by a barrier.

Sympatric Speciation
Sympatric speciation occurs within populations living in the same geographic area. It can be initiated by:
External (extrinsic) events: Disruptive selection based on ecological niches or mate preferences.
Internal (intrinsic) events: Chromosomal mutations, such as polyploidy.
Example: Killer whales form distinct ecotypes within the same ocean, separated by feeding culture (extrinsic event).
Example: Bread wheat evolved through hybridization and chromosomal doubling (intrinsic event).
Species Concepts: Defining and Identifying Species
The Biological Species Concept
Species are defined by reproductive isolation, which prevents gene flow between populations.
Prezygotic isolation: Prevents mating or fertilization.
Postzygotic isolation: Hybrid offspring are inviable or sterile.
The Morphological Species Concept
Species are distinguished by differences in morphological features. Useful for sexual, asexual, and fossil species, but may misclassify polymorphic or cryptic species.
The Phylogenetic Species Concept
Species are identified based on evolutionary history and common ancestry. Monophyletic groups (clades) include an ancestor and all its descendants.
Phylogenetic Trees: Evolutionary Relationships
Structure and Interpretation of Phylogenetic Trees
Phylogenetic trees depict the evolutionary history of organisms. Key features include:
Taxa: Groups of organisms at branch tips.
Nodes: Branching points representing common ancestors.
Sister taxa: Groups sharing a most recent common ancestor.
Estimating Phylogenies
Biologists use genetic and morphological data to estimate phylogenies. Sequence comparisons and character matrices help determine relationships.
Ancestral traits: Traits present in ancestors.
Derived traits: Modified traits found in descendants.
Monophyletic Groups and Synapomorphies
Monophyletic groups (clades) are identified by shared derived traits (synapomorphies). Other terms include:
Apomorphy: Derived trait.
Autapomorphy: Derived in a single lineage.
Plesiomorphy: Ancestral trait.
Complications in Phylogenetic Inference
Traits may be similar due to homoplasy (independent evolution) rather than homology (common ancestry). Parsimony is used to select the tree with the fewest evolutionary changes.
Summary Table: Species Concepts
Concept | Main Criterion | Advantages | Disadvantages |
|---|---|---|---|
Biological Species Concept | Reproductive isolation | Directly relates to gene flow | Not applicable to asexual/fossil species |
Morphological Species Concept | Distinct morphological features | Widely applicable | Subjective; may misclassify |
Phylogenetic Species Concept | Common ancestry; monophyletic groups | Objective; evolutionary history | Requires extensive data |
Summary Table: Hardy–Weinberg Calculations
Population | Genotype Frequencies (AA, AC, CC) | Allele Frequencies (A, C) |
|---|---|---|
Population 1 (Observed) | 0.247, 0.498, 0.254 | 0.497, 0.503 |
Population 2 (Observed) | 0.369, 0.208, 0.423 | 0.473, 0.527 |
Population 2 (Expected) | 0.224, 0.499, 0.278 | 0.473, 0.527 |

Key Equations
Allele frequency:
Genotype frequency: