遗传多样性解析
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Genetic Variability
• At a polymorphic locus, if one allele has a very high frequency (> 99%), then the other alleles are unlikely to be observed, unless the sample size is very large. Thus, a locus is commonly defined as polymorphic only if the frequency of its most common allele is < 99%. This definition is arbitrary, and other criteria may be found in the literature.
Estimating Expected Heterozygosity when >2 Alleles
• When there are more than 2 alleles, a simple way to calculate HW expected heterozygosity is:
• For example, if allele frequencies for 3 alleles are 0.5, 0.3, and 0.2, HW expected heterozygosity is:
Estimating Observed Genotype and Allele Frequencies
• Suppose we genotyped 100 diploid individuals (n=200 gene copies)….
Estimating Expected Genotype Frequencies
• Can be measured using several different metrics, that are all based on allele requencies in populations. – Fst and analogues – Genetic distance, e.g., Nei’s D –Sequence divergence
Genetic diversity
Genetic Variability
• A population is monomorphic at a locus if there exists only one allele at the locus.
• A population is polymorphic at a locus if two or more alleles coexist in the population.
[e.g., probability of a homozygote with aa genotype is q*q = q2].
• Thus, under “ideal” conditions, expected genotype frequencies are p2 for AA, 2pq for Aa, and q2 for aa; and the genotype frequencies sum to 1 such that:
p2+ 2pq + q2= 1 (Hardy Weinberg Equilibrium)
Expected Genotype Frequencies under HWE
Testing for Deviations from HWE
Testing for Deviation from HWE with a Chi-square test
Estimating 来自百度文库enomic Diversity
• To fully assess the demographic history and evolutionary potential of species, genome-wide assessment of genetic diversity is needed (mammals have ~35,000 loci).
Defining Genetic Diversity within Populations
• Polymorphism – number of loci with >1 allele • Number of alleles at a given locus • Heterozygosity at a given locus • Theta or θ=4Neμ(for diploid genes)
Mendelian Inheritance
Estimating Expected Genotype Frequencies
• Much of population genetics involves manipulations of equations that have a base in either probability theory or combination theory.
where Ne – effective population size
μ – per generation mutation rate
Defining Genetic Diversity Among Populations
• Genetic diversity among populations occurs if there are differences in allele and genotype frequencies between those populations.
-Rule 1: If you account for all possible events, the probabilities sum to 1. [e.g., p + q = 1 for a two-allele system].
-Rule 2: The probability that two independent events occur is the product of their individual probabilities.