Transcript ppt
Review for Exam 2
October 26, 2015
Elephant Seals
Practice extreme polygyny: one
male has a harem with many
females
Examined reproductive success
of males using paternity analysis
on Falkland Islands
Results:
7 harems with 334 females
32 mating males detected
What is Ne?
What if sneaky males were
unsuccessful?
Assumptions?
Fabiani et al. 2004: Behavioural
Ecology 6: 961
Example: Effect of Varying Population Size Through
Time: Golden Lion Tamarins (Leontopithecus rosalia)
Native to coastal Brazilian
Rainforests
Estimated Population Censuses:
http://nationalzoo.si.edu
1940: 10,000
1970: 200
2000: 2,000
What is current effective
population size?
http://en.wikipedia.org
Ne
t
1
N
i
Population Assignment: Likelihood
"Assignment Tests" based on allele
frequencies in source populations and
genetic composition of individuals
Likelihood-Based Approaches
Calculate likelihood that individual
genotype originated in particular
population
Assume Hardy-Weinberg and linkage
equilibria
Genotype frequencies corrected for
presence of sampled individual
Usually reported as log10 likelihood for
origin in given population relative to
other population
Implemented in ‘GENECLASS’ program
(http://www.montpellier.inra.fr/URLB/geneclass/g
eneclass.html)
Pk l p
2
i l
for homozygote AiAi in
population l at locus k
Pk l 2 pil p jl
for heterozygote AiAj in
population l at locus k
m
P Pk
k 1
for m loci
Population Assignment Example: Wolf Populations in Northwest
Territories
Wolf populations sampled on island and
mainland populations in Canadian
Northwest Territories
Immigrants detected on mainland (black
circles) from Banks Island (white circles)
Carmichael et al. 2001 Mol Ecol 10:2787
Linanthus parryae population structure
u
Annual plant in Mojave desert is classic example of
migration vs drift
u
u
Allele for blue flower color is recessive
u
u
u
FST can be calculated for any hierarchy:
Use F-statistics to partition variation among regions,
subpopulations, and individuals
FRT: Variation due to differentiation of regions
FSR: Variation due to differentiation among
subpopulations within regions
Schemske and Bierzychudek 2007 Evolution
Linanthus parryae population structure
ö
1 30 æ
2
H S = åç1- å pim ÷
30 i=1 è m=1 ø
æ
ö
1 3
2
HR =
N r ç1- å prm ÷
å
å Nr r=1 è m=1 ø
r
H T =1- å p m
2
m
FSR
HR HS
HR
0.1589 - 0.1424
= 0.1036
0.1589
H HR
T
HT
FSR =
FRT
FRT =
0.2371- 0.1589
= 0.3299
0.2371
FST
HT H S
HT
FST =
0.2371- 0.1424
= 0.3993
0.2371
Hartl and Clark 2007
LD and Admixture
Two randomly-mating populations of rats in the sewers of Paris
have lived in different and completely separate subsewers since
the 14th century
A sewer renovation in 2015 connects the two systems, allowing
completely random intermating
Prior to admixture, 50 gametes from each population are
genotyped for two unlinked SNP loci. What is LD (D, D’, r)
between these loci in the first generation following admixture?
Locus
A
A
B
B
Allele
A
G
C
T
Pop1
5
45
5
45
Pop2
45
5
45
5
Another part of the sewer dating to the same period was
connected at some undetermined date. For this population,
r=0.04 for these loci. What is D for this population? Assuming
similar differentiation at the time of admixture, how many
generations have elapsed since the sewers were connected?