Definition of Evolution
The process of organismal change and diversification through generational time from shared common ancestry. (Descent with modification)
Anagenetic vs. Cladogenetic Evolution
Anagenetic: changes over time primarily through mutation and recombination. Cladogenetic: speciation occurs when a species or lineage branches and gives rise to two new species.
Properties of Evolution
Complex forms, phenotype determined by genotype (central dogma), easiest visible in higher order taxa, not random, not progressing towards a goal. Evolution ≠ natural selection ≠ adaptation.
Evidence for Evolution
Hierarchical organization of life, homology, embryological similarities, vestigial characters, convergence, suboptimal design, geographic distributions, intermediate forms, fossils, molecular evidence.
Historical Background - Plato & Aristotle
Plato: metaphysical world. Aristotle: epigenesis (embryological differentiation) and pre-formation (preprogrammed unfolding).
Historical Background - Lamarck
Theory of inheritance of acquired characteristics (physiological changes acquired during an organism's life can be transmitted to offspring).
Effect of Mutation on Allele Frequencies (No Selection, Drift, Migration)
Δq = up - vq = u(1-q) - vq = u - q(u+v).
At equilibrium:
Δq = 0 → q = u / (u+v).
u/v = q/p.
q' = q + Δq = q + u - q(u+v).
qn = q̂ + (q0 - q̂)(1 - u - v)^n
Genetic Drift
Random change of allele frequencies in finite populations
The Wright-Fischer Model
Haploid population without sexes, finite size (2N individuals), random sampling, discrete generations. Null-model in population genetics.
Wright-Fischer Model - Allele Frequency & Probability
K: number of A alleles.
p = K/2N.
P(K;2N;p) = (2N choose K) * p^K * (1-p)^(2N-K).
Effects of genetic drift are stronger in small populations.
Mutation Rate Symbols
u: mutation rate from A to a. v: mutation rate from a to A.
Equilibrium in Mutation-Only Model
Δq = 0 → q = u / (u+v)
Change in Allele Frequency (Δq)
Represents the change in the frequency of allele 'a' in one generation.
qn
Represents the frequency of allele 'a' after n generations.
q0
Represents the initial frequency of allele 'a'.
(2N choose K)
Represents the binomial coefficient, calculating the number of ways to choose K items from a set of 2N items.
p
Represents the frequency of allele A.
q
Represents the frequency of allele a.
K
Represents the number of A alleles.
2N
Represents the total number of individuals in the population. ## Flashcard 22
Δq = up - vq
Formula for change in allele frequency due to mutation.
u(1-q)
Represents the rate of mutation from A to a, considering the frequency of A (1-q).
vq
Represents the rate of mutation from a to A, considering the frequency of a (q).
u / (u+v)
Formula for equilibrium frequency of allele 'a' when only mutation is occurring.
u/v = q/p
Ratio of forward and reverse mutation rates at equilibrium equals the ratio of allele frequencies.
q' = q + Δq
Formula for calculating the frequency of allele 'a' in the next generation.
Formula for calculating the frequency of allele 'a' after n generations, considering mutation.
Random fluctuations in allele frequencies due to chance events, especially in small populations.
Wright-Fischer Model
A null model in population genetics describing allele frequency changes due to random sampling in small, idealized populations.
Haploid Population
A population where individuals have only one set of chromosomes.
Discrete Generations
Generations do not overlap; parents die before offspring reproduce.
Effects of Genetic Drift in Small Populations
Stronger effects; allele frequencies can change rapidly and randomly, potentially leading to fixation or loss of alleles.
Fixation
When an allele reaches a frequency of 1 (100%) in the population.
Probability of K Alleles
Calculated using the binomial probability formula: P(K;2N;p) = (2N choose K) * p^K * (1-p)^(2N-K).
What is the definition of variance in the context of allele frequencies?
Variance measures the spread of allele frequencies across populations or generations. It quantifies how much the allele frequencies are likely to deviate from the mean.
How does variance change over time due to genetic drift?
Variance in allele frequencies increases over time due to random genetic drift. This means that allele frequencies become more spread out and unpredictable as generations progress.
What is the formula for calculating the variance of allele frequency (p) in a population?
The variance of allele frequency (p) is calculated as: Var[p] = (p * q) / (2N) where p is the frequency of allele A, q is the frequency of allele a, and N is the population size.
What does the formula Var[p] = (p * q) / (2N) tell us about the relationship between variance and population size?
The formula shows that variance in allele frequency is inversely proportional to population size (N). This means that smaller populations have higher variance and experience more rapid and random changes in allele frequencies.
What is the significance of the formula Var[p] = (p * q) / (2N) in evolutionary genetics?
This formula is significant because it helps us understand the role of genetic drift in shaping allele frequencies in populations, especially in relation to population size.
What is heterozygosity (H) in genetics?
Heterozygosity (H) is the probability of finding two different alleles at two homologous loci within a population or individual. It represents the genetic diversity or variability within a population.
How does inbreeding affect heterozygosity?
Inbreeding reduces heterozygosity by increasing the likelihood of individuals inheriting identical alleles from their common ancestors. This leads to a decrease in genetic diversity.
What is the formula for calculating heterozygosity (H)?
Heterozygosity (H) can be calculated as: H = 1 - (homozygosity) where homozygosity is the probability of an individual having two identical alleles at a specific locus.
What is the formula for calculating the change in heterozygosity (H') in one generation?
The change in heterozygosity (H') in one generation can be calculated as: H' = (1 - (1 / (2N))) * H where N is the population size and H is the initial heterozygosity.
What does the formula H' = (1 - (1 / (2N))) * H tell us about the relationship between heterozygosity and population size?
The formula indicates that heterozygosity decreases over time due to genetic drift, and the rate of decrease is faster in smaller populations.
What is the formula for calculating heterozygosity (H_t) after t generations?
Heterozygosity (H_t) after t generations can be calculated as: H_t = (1 - (1 / (2N)))^t * H_0
where N is the population size, t is the number of generations, and H_0 is the initial heterozygosity.
What is the significance of heterozygosity (H) in evolutionary genetics?
Heterozygosity is a crucial measure of genetic diversity within a population. It helps us understand the potential for adaptation and evolution in response to environmental changes.
What is the difference between the mean census number (Nc) and the effective population size (Ne)?
The mean census number (Nc) is the average number of individuals in a population over a certain period, while the effective population size (Ne) is the size of an idealized population that experiences genetic drift at the same rate as the actual population.
What factors can cause the effective population size (Ne) to be smaller than the mean census number (Nc)?
Factors such as sex ratio differences, fluctuations in population size, overlapping generations, and population structure can lead to a smaller effective population size compared to the mean census number.
What is the formula for calculating the effective population size (Ne) when the population size varies over time?
The effective population size (Ne) can be calculated as: Ne = t / Σ(1 / Ni) where t is the number of generations and Ni is the population size at each generation.
What is the significance of the effective population size (Ne) in evolutionary genetics?
The effective population size is a crucial parameter in understanding the rate of genetic drift and its impact on allele frequencies and genetic diversity within a population.
What is the role of the Wright-Fisher model in population genetics?
The Wright-Fisher model is a fundamental null model in population genetics that describes the random fluctuations of allele frequencies due to genetic drift in small, idealized populations.
What are the key assumptions of the Wright-Fisher model?
The key assumptions include a finite, constant population size, random mating, non-overlapping generations, no selection, no mutation, and no migration.
How does the Wright-Fisher model explain the change in allele frequencies over time?
The Wright-Fisher model explains that allele frequencies change randomly due to chance events in small populations, and the rate of change is inversely proportional to the population size.
What is the significance of the Wright-Fisher model in evolutionary genetics?
The Wright-Fisher model provides a baseline for comparison when studying the effects of other evolutionary forces, such as natural selection, mutation, and migration, on allele frequencies in populations.
What is the concept of "heterozygosity lost" in the context of population genetics?
"Heterozygosity lost" refers to the reduction in heterozygosity (genetic diversity) in a population over time due to factors like genetic drift and inbreeding.
How is "heterozygosity lost" related to the effective population size (Ne)?
The rate of heterozygosity loss is inversely proportional to the effective population size (Ne). Smaller populations lose heterozygosity faster than larger populations.
What is the formula for calculating the proportion of heterozygosity lost (Ht/H0) after t generations?
The proportion of heterozygosity lost (Ht/H0) after t generations can be calculated as: Ht/H0 = (1 - (1 / (2Ne)))^t where Ht is the heterozygosity at time t, H0 is the initial heterozygosity, Ne is the effective population size, and t is the number of generations.
What is the significance of understanding "heterozygosity lost" in evolutionary genetics?
Understanding "heterozygosity lost" helps us assess the rate of genetic diversity loss in populations, which has implications for their adaptability and long-term survival.
What is the difference between the infinite sites model and the infinite alleles model in genetics?
The infinite sites model assumes that mutations occur at unique sites within a gene, while the infinite alleles model assumes that every new mutation creates a novel allele not previously present in the population.
What is the significance of the infinite sites model and the infinite alleles model in studying genetic variation?
These models are used to simplify the analysis of genetic variation and make predictions about the expected levels of diversity in populations.
What is the concept of "mutation-drift balance" in population genetics?
"Mutation-drift balance" refers to the equilibrium state in which the rate of new mutations entering a population is balanced by the rate of loss of genetic diversity due to random genetic drift.
What is the formula for calculating the equilibrium heterozygosity (Ĥ) under the mutation-drift balance?
The equilibrium heterozygosity (Ĥ) can be calculated as: Ĥ = (θ) / (1 + θ) where θ = 4Neμ, Ne is the effective population size, and μ is the mutation rate.
What is the significance of the mutation-drift balance in understanding genetic diversity in populations?
The mutation-drift balance helps explain the observed levels of genetic diversity in natural populations and how they are influenced by mutation rates and population sizes.
What is the concept of "neutral rate of substitution" in molecular evolution?
The "neutral rate of substitution" refers to the rate at which neutral mutations (mutations with no effect on fitness) become fixed in a population due to random genetic drift.
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