Evolution Hardy-Weinberg Equilibrium Model & The Paradox Five

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Evolution change in frequencies of alleles in the gene pool; e.g., Allele frequencies in parents: B = .92 and b = .08; in their offspring B= .90 and b = .10

Charles Darwin

British Naturalist

1809 -1882

I have called this principle, by which each slight variation, if useful, is preserved, by the term Natural Selection.

Hardy-Weinberg Equilibrium

Model & The Paradox

Through mathematical modeling, they concluded that gene pool frequencies are inherently stable but that evolution should be expected in all populations virtually all of the time.

Five Conditions

No mutation

No natural selection

Population is infinitely large

All mating is random

No migration

[All members breed and everyone produces equal numbers of offspring]

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Mechanisms of Evolution

Mutation

Natural selection

Genetic drift

Non-random mating

Migration

”I have called this principle, by which each slight variation, if useful, is preserved, by the term Natural Selection.” (Darwin)

Hardy-Weinberg Equilibrium

Equation p 2 + 2pq + q 2 = 1 p = frequency of dominant allele q = frequency of recessive allele

Another way to collocate allele frequencies p = AA + 1/2 Aa q = aa + 1/2Aa p + q = 1 p = 1 – q q = 1- p

2

(p + q) 2 = 1 p 2 + 2pq + q 2 p 2 = AA

2pq = Aa

q 2 = aa

Albinism

Homozygous recessive (aa)

1/20,000 q 2 = 1/20,000 =

.00005

q = .007

p = 1 q p = 1 .007 p = .993 p 2 + 2pq + q 2 = 1

(.993) 2 + 2 (.993)(.007) + (.007)

.98605 + .01399 + .00005 = 1

2 = 1

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Further Calculations p 2 = (AA) = .98605 = 98.6%

2pq = (Aa) = .01399 = 1.4% q 2 = (aa) = .00005 = .005% (the albinos)

PTC Taste Testing

Phenylthiocarbamide

Phenylthiourea

Tasters: TT or Tt

Non-taters = tt

Evolutionary Implications thyroid disease non-tasters more prevalent among hypothyroid patients non-tasters more susceptible to nonendemic nodular goitre tasters have a lower incidence of dental caries

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