hardy-weinberg equilibrium measuring evolution at the population level
TRANSCRIPT
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HARDY-WEIN
BERG
EQUILIBRIU
M
ME
AS
UR
I NG
EV
OL U
TI O
N A
T T
HE
PO
PU
L AT
I ON
L EV
EL
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QUIZ:
In the H-W equation: what are p2 , 2pq, and q2? p & q?
Genotypic/allele frequencies remain constant when a population (is/is not) evolving.
In order for a population to be in equilibrium, what must be true?
1)
2)
3)
4)
5)
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P2 + 2PQ + Q2 = 1 & P + Q = 1
P2 ; Homozygous dominant
2pq = heterozygous
Q2 = homozygous recessive
P= dominant allele
Q= recessive allele
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ALLELE FREQUENCIES CONSTANT=POPULATION IS NOT EVOLVING!
Frequencies of genotypes can change but alleles cannot : WHY?
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IN ORDER TO BE IN EQUILIBRIUM THERE MUST BE:NO natural selection
NO sexual selection (nonrandom mating)
NO net mutations
LARGE POPULATION
NO gene flow
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WHAT ARE EXAMPLES OF NATURAL SELECTION & SEXUAL SELECTION THAT WE’VE SEEN?
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NET MUTATIONS
A mutation that affects a particular allele frequency.
Ex. Albinism in a population may affect whether or not a certain allele (ex. Red hair) appears.
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LARGE POPULATIONS
Small populations are at risk for:
Genetic Drift
Founder effect
Small population inhabits an island with relative small gene pool.
A certain trait could be selected for by chance.
Bottleneck effect
A small population is subject to a natural disaster
A certain trait (whether or not more successful) gets selected for by accident.
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GENE FLOW
Immigration: Individuals, along with their gene pool enter a population. Eg. Italian genes in NYC in the 1920s.
Emigration: Individuals, along with their gene pool leave a population. Eg. Native Americans forced out of Georgia to Oklahoma in the trail of tears in the 1800s.
Migration: seasonal movement. Since the population usually reproduces in the same spot, this will not affect the gene pool.
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EQUILIBRIUM PROBLEMS
In a population of Rainforest frogs, 88% are non-albino and it has been determined that albinism is a recessive trait.
What are the frequencies of phenotypes?
What are the frequencies of genotypes?
What are the frequencies of alleles?
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PHENOTYPE FREQUENCY:
Non-albino: .88
Albino: .12
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GENOTYPE FREQUENCY:
Determine frequency of homozygous recessive first:
frequency of recessive genotype = q2
Then you determine the frequency of the q allele: square root of p2
Then you determine the frequency of the p allele: p-q = 1
Finally you can determine:
heterozygous: 2pq
homozygous dominant: p2
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IN A SUBSEQUENT GENERATION, THE PROPORTION OF ALBINO WAS REDUCED TO .10
What are the frequencies of each genotype if the population remains in equilibrium?
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THE POPULATION OF FROGS WAS REDUCED BECAUSE THEY HAVE BEEN HUNTED AND SOLD ON THE FROG MARKET!
An incredible flood occurs in this rainforest. The frequency of albino frogs is now .40 What are the new values for p & q?
How could such an event have happened?
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MODEL
Natural Selection on “Goldfish”
Let’s set up a model for natural selection on goldfish.
The population of goldfish has approximately 50% regular and 50% pretzel.
Module A: You are sharks and show no preference for goldfish.
Module B: You are sharks and show preference for pretzel goldfish.
Make a hypothesis to determine what will happen to the allele frequencies in each module!