Week 3 - Population Genetics (Haploid) Flashcards
(29 cards)
Biological definition of evolution
“the origin and alteration over generations of: the frequencies of genotypes within populations, the proportion of differentiated populations within species, the proportion of species with different traits within a lineage” (Futuyma and Kirkpatrick)
Could also add ideas within society
natural selection definiton
the process whereby some individuals contribute more offspring to the next generation as a consequence of their carrying a trait or traits favorable to survival or reproduction
evo. by natural selection occurs whenever: (3 things)
- VARIANCE - individuals vary in some trait
- SELECTION - individuals with some trait value are more likely to live and/or reproduce
- HERITABILITY - parents have offspring with similar trait values
is it easy to say a change in genotype is because of natural selection?
NO - easy to document a change but not to say bc of selection
Haploid model of evolution
Variant alleles: A, a
Haploid population of size N, N = # of individuals in a population
Selection definition
differential survival or reproduction of different entities
p[t]
frequency of allele A at time t, from 0 to 1
q[t]
frequency of allele a at time t, from 0 to 1
p[t] + q[t] =
1
Fitness definition
Avg. contribution per parent to the next generation, including survival and reproduction
WA
fitness of A
Wa
fitness of a
equation for p[t+1]
= (WAp[t]) / {(WAp[t]) + Wa*q[t]}
equation for evolutionary change across one generation
(WA - Wa)p[t]q[t] / {WA*p[t] + Waq[t]}
If WA > Wa, when will change in p be greatest
in middle of change, when allele frequences are relatively similar (steepest part of the S curve)
Relative vs absolute fitness
evolution by natural selection depends only on relative fitness not absolute values
evolution after time t (p[t]
= (WA^t)p[t] / {((WA^t)p[t]) + (Wa^t)*q[t]}
When would there be low genetic variance
When one allele is nearly lost, or nearly fixed
if p[t]* q[t] = variance, highest variance is when around 0.5, 0.5
Haploid genetic variance
p[t] * q[t]
What part of change over generation equation reps: 1. variance, 2. selection, 3. heritability
- p[t]*q[t]
- WA - Wa
- p[t] (as A bearing parents pass A allele to offspring)
if WA = Wa
p[t] remains at p[0] - neutral
if WA> Wa
p[t] -> 1 - directional selection favouring A
if WA < Wa
p[t] -> 0 - directional selection favouring a
s
SELECTION COEFFICIENT - divide Wa and WA by Wa, typically done relative to the wildtype
so Wa = 1, and WA = 1 + s