Biology 280/545:  Evolution Lecture: Population Genetics

Background:  Freeman and Herron: Chapter 6

 

Outline:         

I.               Migration

II.             Nonrandom Mating

III.           Genetic Drift

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I.               Migration:

 

A.    Migration vs. gene flow

 

 

 

 

 

 

 

B.    Migration and allele frequencies (one island model)

 

 

 

 

 

 

 

Look at the ÒislandÓ population after migration:

 

-       proportion of migrants  into the island population = m

-       genes descended from the local population = 1-m

-       genes descended from the migrants = m

 

 

Then the frequency of A1 in the island population after migration will be:

 

 

 

When does it stop?

 

 

 

 

II.             Nonrandom Mating

 

A.    Definitions:

 

Assortative Mating:

 

 

Disassortative Mating:

 

 

Inbreeding:

 

 

 

 

B.    Example: Inbreeding

 

1.     Self-fertilization

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2.     Effects of Inbreeding

 

 

 

 

 

 

 

 

 

 

 

 

3.     Coefficient of Inbreeding = F

 

a)     F is the proportionate reduction in heterozygosity , (H=proportion of heterozygotes), compared to random mating

 

 

 

 

 

b)    F is also the probability that 2 alleles in an individual are identical by descent)

 

c)     Some inbreeding coefficients:

SelfingÉÉÉ1/2

Full-sib matingsÉÉ1/4

First cousinsÉÉÉ1/16

Second cousinsÉÉ.1/64

 

d)    In a population of inbreeders, the genotypic frequencies will change accordingly:

 

 

f(AA):

 

 

f(Aa):

 

 

f(aa):

 

 

 

 

e)     Example:  Albinism in humans

1/20,000 of American caucasian births is an albino (aa)

q2 = 1/20,000 = 0.00005 ˆ q = 0.007

For first cousin marriages, the frequency of albino children will be:

 

 

 

 

4.     Inbreeding Depression

 

 

 

III.           Genetic Drift:

 

 

 

 

 

 

 

 

  1. Effects of Genetic Drift

 

 

 

 

 

 

 

 

 

  1. Effective Population Size

 

 

 

 

 

 

 

 

  1. Special cases of drift

 

    1. Founder Effect:

 

 

 

 

 

 

 

 

 

    1. Bottleneck:

 

 

 

  1. Neutral Theory

 

    1. ÒNeutral MutationsÓ

 

 

 

 

 

 

 

 

 

    1. Evolution by drift

 

 

 

 

 

 

 

 

 

    1. Predictions of Neutral Theory