Random Events Flashcards
why is large population size important for the Hardy-Weinberg theorem?
a large population will follow HW more closely than a small one because alleles A and a are in a 1:1 ratio, so just like flipping a coin, and the larger the population, the closer the actual ratio of alleles passed on will be to 1:1
In a smaller population on 10 heterozygotes you might get 6 organisms that pass on A and 4 that pass on a and that would not be surprising but then the allele frequency has randomly shifted from p=.5 to p=.6
In a larger population of 1000 heterozygotes any random shift in p should be very small
what is genetic drift?
RANDOM change in allele frequencies between generations
no tendency for A or a to be favored
If genetic drift is the only microevolutionary force acting on a population, what are the eventual frequencies of alleles in the population?
All alleles except one will always be lost from the population
the speed at which this will happen is dependent on the size of the population
drift is the march to homozygocity, it will erode variation to the point where there’s only one allele IF it’s the only thing acting upon a population
what did the genetic drift computer simulation show?
each panel showed ten simulations beginning at p=q=.5
drift eventually results in fixation, even in “large” populations
what does genetic drift lead to?
it is the “march to homozygosity”
if alleles are selectively neutral, population will eventually “drift” to homozygosity (fixation)
evolution has occurred by a random process
what is heterozygosity?
a standard measure of genetic variation per locus in a population
also called “gene diversity”
what is the formula for heterozygosity?
H = 1 - (p^2 + q^2)
p is the frequency of allele 1
1 is the frequency of allele 1
what is H?
heterozygosity: the chance of drawing 2 different alleles
in HW equilibrium, H is the proportion of heterozygotes
even a population with no heterozygotes can have heterozygosity... - frequency of AA = .5 - frequency of Aa = 0 - frequency of aa = .5 BUT H = .5!!
what is homozygosity?
(f)
the chance of drawing 2 identical alleles
what are the two formulas for homozygosity?
f= (p^2+q^2)
OR
f= 1-H
what are the effects of drift and mutation on heterozygosity?
drift tends to reduct heterozygosity
mutation increases heterozygosity
Genetic polymorphism is thus a function of rate of drift and rate of mutation
selection can act before, during, or after, in concert with or in opposition to these forces
what is the founder effect?
establishment of a new population by a few “founder” which carry only a small fraction of the total genetic variation of the parental population –> not representative of the whole population –> non-random mating
if the founder event occurs but genetic variation of the new population is the same, then there is no genetic drift via founder effect
ex. original population has yellow, blue, and red
1) founder effect - yellow lost, blue more frequent
2) founder event, but not strong founder effect because there’s still a mix of all alleles
3) founder effect, nothing lost, but red much more frequent
what are some outcomes of the founder effect
composition of founder population is not purposefully selected to include particular genotypes
genes in low frequency in original population become common in founder population
well studied for genetic diseases in human populations
what is porphyria variegata?
abnormal heme molecules cause intermittent skin disorders, circulatory and respiratory problems
1 in 300 South African Afrikaaners
the mutant gene can be traced to a single couple who settled in South Africa in the 17th century
what is Huntington’s disease? How does it demonstrate the founder effect?
prevalence among Afrikaners can be traced to a single Dutch founder
432 carriers in Australia can be traced to a single English founder with 13 children
prevalence in Lake Maracaibo can be traced back 200 yrs to 1 founder with 10 children
what is Polydactyly? How does it demonstrate the founder effect?
more common among Amish than the American population at large
small number of founders
most marriages within population
gene can be traced to a single pair of founders in 1744
What is the chance of drawing one homozygote randomly?
p^2 + q^2
What is the chance of drawing two homozygotes randomly?
(p^2)^2 plus (q^2)^2
what is the Total chance of homozygosity?
[ (p^2)^N + (q^2)^N ]
N = size of founding population
Are founder events likely to produce homozygosity?
not likely to produce homozygosity
However:
- rare alleles may be lost
- new allele frequencies might be very different
- rare alleles might be relatively more common
- small founding populations vulnerable to subsequent drift
what are population bottlenecks?
Environmental (or other) catastrophe decimates a large percentage of the population
Population rebounds, but genetic diversity is a subset of what existed before catastrophe
when does a population bottleneck occur?
a bottleneck occurs when population size decreases, often resulting in a loss of genetic variation
founder effect is one kind of bottleneck