Population Genetics
Chapter 27
Definition of Population
- Population: A group of organisms of the same species residing in the same geographic area with the ability to interbreed with one another.
Definition of Population Genetics
- Population Genetics: The field of biology aimed at understanding the genetic composition of populations and the reasons for changes in this composition over time.
- Genetic Variation: Arises from the existence of different alleles at various genetic loci.
- Example: Shell color polymorphism observed in snails, where traits displaying variation within a population are classified as polymorphic traits.
Polymorphism at the Genetic Level
- A gene is considered polymorphic if two or more alleles exist within a population.
- The goal of studying polymorphic genes is to determine their prevalence within populations and connect them to phenotypic functions.
Describing Genetic Structure of a Population
- Key components to describe include:
- Phenotype Frequencies: The proportion of different phenotypes in a population.
- Genotype Frequencies: The proportion of different genotypes in a population.
- Allele Frequencies: The frequency of specific alleles in the gene pool.
Calculation of Phenotype Frequencies
- For a hypothetical population of 1000 flowers:
- White flowers: 200/1000 = 0.2
- Pink flowers: 500/1000 = 0.5
- Red flowers: 300/1000 = 0.3
Calculation of Genotype Frequencies
- Genotype frequencies can be calculated as:
- For genotype rr: 200/1000 = 0.2
- For genotype Rr: 500/1000 = 0.5
- For genotype RR: 300/1000 = 0.3
Calculation of Allele Frequencies
- Definition: The frequency of a specific allele in a population is calculated by the number of copies of that allele divided by the total number of alleles of the gene present.
- Example with 2000 alleles total:
- Frequency of allele r: 900/2000 = 0.45
- Frequency of allele R: 1100/2000 = 0.55
Relationship of Allele Frequencies
- The sum of frequencies for all alleles at a polymorphic gene must equal 1.
- Example: For two alleles r and R, where frequency of R is 0.55:
- Frequency of r: 1 - frequency of R = 1 - 0.55 = 0.45.
Hardy-Weinberg Equilibrium
- Definition: A principle predicting that allele and genotype frequencies will remain constant over generations in a population under specific conditions.
- Assumed conditions:
- No new mutations.
- No genetic drift (sampling bias).
- No migration.
- No natural selection.
- Random mating.
- Relationship of allele and genotype frequencies is given by:
ext{Frequency of } R^2 + 2Rr + r^2 = 1
- Deriving the H-W equation involves:
- R + r = 1 (allele frequencies in the population).
- Each individual has two allele copies, leading to:
- (R + r)(R + r) = 1
- Written as (p + q)(p + q) = 1 where p = frequency of allele R and q = frequency of allele r.
Class Question on Allele Frequencies
- The sum of all allele frequencies at any polymorphic gene equals:
- a) Two
- b) One (Correct Answer)
- c) The number of alleles at that particular gene
- d) No clue
Hardy-Weinberg Equation Revisited
- R^2 + 2Rr + r^2 = 1
- Represents genotype frequencies:
- R^2 : frequency of homozygous dominant genotype (RR)
- 2Rr : frequency of heterozygous genotype (Rr)
- r^2 : frequency of homozygous recessive genotype (rr).
- Alternatively expressed using p and q : p^2 + 2pq + q^2 = 1 .
Example Calculations under H-W Equilibrium
- Given:
- Allele frequency of r = 0.45
- If population in Hardy-Weinberg equilibrium:
- Frequency of genotype rr: 0.45^2 = 0.2025 .
Visualization using Punnett Squares
- Punnett squares are tools that visualize relationships between allele frequencies and genotype frequencies.
Detailed Frequency Calculations
- For a population with an allele frequency where R = 0.8 and r = 0.2:
- R^2 = (0.8)(0.8) = 0.64 (RR genotype)
- 2pq = 2(0.8)(0.2) = 0.32 (Rr genotype)
- r^2 = (0.2)(0.2) = 0.04 (rr genotype).
Importance of H-W Equilibrium Assessments
- H-W equilibrium states allele and genotype frequencies do not change due to the following:
- No new mutations.
- No genetic drift.
- No migration between populations.
- No natural selection.
- Random mating.
- Challenge: Evaluate whether a population is in H-W equilibrium using the equation.
Observational Data vs. Expected Frequencies
- Calculated expected genotype frequencies based on allele frequencies:
- RR = R^2 = (0.55)^2 = 0.3025
- rr = r^2 = (0.45)^2 = 0.2025
- Rr = 2Rr = 2(0.55)(0.45) = 0.495 (summary of all genotypes represented in the population).
Chi-Square Test for H-W Equilibrium Verification
- Chi-square can assess deviations from expected frequencies to determine if the population is in H-W equilibrium.
- Degrees of Freedom: Calculated as #genotypes - #alleles.
- If the null hypothesis is failed to be rejected, the population is considered to be in HWE.
Role of Genetic Variation in Space and Time
- The potential for change in genetic structure is critical for:
- Adaptation to environmental changes.
- Conservation efforts.
- Maintenance of biodiversity.
- Its relation to disease phenotypes.
Significance of Genetic Variation
- Genetic variation impacts:
- Disease susceptibility
- Survival capacity
- Lack of variation leads to possible extinction.
Factors Causing Changes in Genetic Structure
- Variations can occur through:
- Mutation: Random alterations in DNA forming new alleles. An ultimate source of genetic diversity.
- Migration: Genetic exchange across populations due to the movement of fertile individuals or gametes, creating genetic flow.
- Natural Selection: Influences variability due to differences in offspring contribution based on survival and reproduction, adapting populations over time.
- Genetic Drift: Random alterations in allele frequencies due to chance, especially significant in smaller populations.
- Non-random Mating: Alterations in genotype distributions arising from mate selection processes based on specific traits.
Mutation
- A spontaneous change in DNA resulting in new alleles at random.
- It is the foundation for all genetic variation in populations.
Migration (Gene Flow)
- The transfer of genetic material between populations due to the movement of breeding individuals or their gametes.
- Example: Migration impacts are illustrated through distinct populations facing differing selective pressures.
Natural Selection Explained
- Certain genotypes yield more offspring through enhanced fitness, which modifies allele frequencies over generations, allowing adaptation.
- Resistance to Antibiotics Case Study: Observes the gradual population shifts in allele frequencies related to treatment over generations.
Breed Patterns Over Generations due to Natural Selection
- Population studies display shifting allele frequencies over successive generations due to consistent selective pressures.
Genetic Drift
- A random process affecting allele frequency changes independent of natural selection.
- More pronounced in smaller populations leading to either fixation (all members possess the allele) or loss (absence of the allele).
Effects of Bottleneck and Founder Events on Genetic Drift
- Bottleneck Effect: A drastic reduction in population size resulting in a loss of genetic diversity.
- Founder Effect: Occurs when a small number of individuals start a new population, leading to variations influenced by the limited genetic pool.
Simulation of Genetic Drift Impact
- Data indicates fluctuations in allele frequency are more extreme in smaller populations compared to larger groups where frequencies stabilize.
Demographic Stochasticity's Role
- Refers to unpredictable variations in growth rates across generations due to individual-level survival and reproduction discrepancies.
- Highlights factors affecting demographic outcomes, even within genetically uniform populations, culminating significant effects in small populations.
Sources of Demographic Stochasticity
- Variability in fecundity and mate acquisition.
- Environmental factors impacting survival outcomes.
Interaction of Evolutionary Forces
- Mutation adds genetic variation, while genetic drift can diminish it. Natural selection might retain or diminish variation, and migration can augment genetic diversity.
- The overall rate of allele frequency changes is contingent upon factors such as population size, natural selection strength, migration rates, and mutation frequency.