Evolution and Genetic Diversity Flashcards
how are most traits determined?
multiple genetic loci
plus the environment
quantitative or continuous variation
P = G+E
(or G*E?)
basics of evolution
H2 = Va/Vp
degree to which a trait is inherited from gen to gen
proportion of phenotypic variation explained by additive genetic variation
selection (S)
individuals vary in contribution to next gen - sometimes due to variation in particular traits (natural selection applies here)
results in change in trait mean from one gen to next
evolution/response to selection (R=H2*S, breeders equation)
P=G+E
use the variation between individuals to measure this
Vp=Vg+Ve
Vg components?
Va - additive genetic variance
Vd - dominance variance
Vi - epistatic variance
Va?
due to alleles at underlying locu that are codominant (both alleles expressed in heterozygote) and cause small differing increases and decreases in trait value
Vd
occurs when alleles at underlying loci are not codominant but show full dominance
inbreeding depression special case?
Vi
due to interctions between alleles at different loci
phenotype can take any particular value depending on the genotype at another locus
Va as main focus
-main determinant of transmission across gens
-largest component of Vg
-thus major determinant of repsonse to selection as allele frequencies at underlying loci change over generations
(only inherit one allele from each parent so additive effect is really the only effect passed down through gens - other ones muddied by mixing of parent genomes)
can estimate from covariance (similarity) between relatives compared to rest of population
-expressed often as heritability
-narrow sense - more common - H2=Va/Vp
-broad sense - clones and inbred lines H2 = Vg/Vp - as other genetic effects not so muddied in clones and inbred as genomes arent really mixed up between gens
parent offspring regression
mid parent bill depth against measured offspring depth
parent and offspring share 1/2 genes so covariance is partially due to shared genetics
bill depth of parents increases - increase in offspring
assume that only cause of covariance between parent and offspring is Va - covariance between parents and offspring tells us what 0.5 of genetic variance
slope of regression can give estimate of heritability - can calculate Va from it
stronger correlation and steeper slope = higher heritability
estimating Va
Va (and therefore H2, Va/Vp) is estimated by examining covariance in trait values between individuals of known relatedness - taking into account how related they are
e.g.
identical twins - share all Va and Vs (share dominant alleles, Ve too as share all alleles at all loci too (similar for clones/inbred lines too ig)
parent offspting and full sibs - coefficient of 0.5 - only share 1 allele at each locus - major cause of similarity is 1/2 of Va (also 1/2 Vd - share rouglhly 1/2 dominant alleles)
half sibs - 0.25 coefficient, 0.25xVa (1/16 Vd)
estimating Va and H2 in nature
examples before use single type of relative
sometimes useful in nature (PO regression e.g.)
however in natural populations:
-often have many types of relatives in population - need to use as many as possible for best data
-use ANIMAL MODEL
-allows all types of relatives to be used
-statistical model, uses big matrix of relatedness between relatives in population
-use this matrix and covariance between all these relatives to estimate Va for a trait
need to know:
relatedness of individuals in population (can be difficult to assign fathers sometimes, facilitated by DNA profiling to determine genetic similarity)
trait values for those individuals
animal model example - red deer isle of rum
tag fauns each year - tell individuals apart
use genetic analysis to assign father
create pedigree with this relatedness data (from mothers and fathers of everyone being known)
can see how related every individual is to each other
can use this to feed relatedness matrix into animal model
estimate heritability of specific traits by using covariance of different relatives
(some values differ by sex - birth weight less heritable in males)
animal model benefits
-can use whole pedigree to estimate Va - many different relative types at once can be used (maximise data therefore maximise power, e.g might not have so large a sample of single type e.g. full sibs)
well set up for the types of pedigree found in wild pops
-can control and estimate other sources of covariance other than Va (environmental…)
-can handle missing data - can still have individual in model even if phenotype values are missing
-can handle unbalanced designs e.g. unequal family sizes
selection differential?
difference between mean of indiviudals that breed and the mean of the whole population (incl non breeders)
useful in artificial selection, but in natural populations can’t always record accurately who’s breeding
measuring selection in nature
big population crash
selection event e.g. El nino event
can get data from population after crash and compare it to data from before the crash
selection differential for trait = difference in trait between group that survived vs whole pop before
e.g. el nino galapagos ground finches
could see what traits were selected for
selection differential problem in natural population
-(before) dont know whos breeding exactly
-differences not always discrete yes/no in natural populations
e.g. variation in offspring number produced often used as best measure of overall fitness
(also e.g. variation in age at maturity, variation in lifespan)
these traits are easily measured but are not discrete yes/no black/white
so not so easy to fit onto selection differential
use selection gradient instead
selection gradient approach
do regression of relative fitness on trait X (trait on x axis)
equation of this line:
w=a + beta*X (analogous to y=mx+c)
beta - selection gradient is the gradient of this line on this regression
beta = the degree to which that trait value predicts fitness
(covariance of trait and relative fitness)
slope of line (beta) = covariance of X and Y divided by variance in X
KEY - in nat populations - fitness not always discrete (survivors vs non survivors like el nino thingy) - selection gradient used instead of differential
predicting response to selection?
breeder’s equation
R=h2*S
heritability * strength of selection
S = difference of mean of population of selected parents, and the mean of the whole pop before selection
response (R) is basically the difference in mean of offspring from the selected parents, and mean of offspring if whole population had been allowed to reproduce
Works OK in Lab and breeding
pitfalls in nat pops
breeders equation in wild?
el nino event for darwins finches
for bill depth
calculated
R=h2*S
=0.54 * 0.82=0.44
BUT observed value looks more like 0.8
B equation predicts change of 0.44mm, observed change was about 0.8mm
observed response was much stronger than predicted
estimated only half of the change in nat pop
poor
a lot worse in other studies
why breeders equation bad in wild?
possible reason 1:
poor estimation of h2 in wild due to environmental variation (plasticity is cause???)
estimating Va from covariance between relatives
assumes all covariance is genetic
BUT relatives also share environements - can also cause covariance
environmental variation Ve is v difficult to control in nat pops
causing problems in estimating h2 in nat pops
plasticity and breeders equation?
traits of an individual respond to environmental conditions
P=G+E
can be one off change:
- (daphnia grow helmets in response to predators, stay for life)
-good early conditions -> can give high lifetime breeding success regardless of conditions experienced
can also be ongoing through life - reaction norms
shared environment aspects between relatives?
Shared spatial environment
shared year of birth
shared rearing environments
shared mother (maternal effects)
shared spatial environment
rum red deer
individuals have small home ranges
individuals in same home range experience same set of variable (weather, food,,,)
can influence phenotype in same way causing covariance
here maternal relatives share home range
so estimating Va and some relatives used are maternal relatives - some of covariance shared due to same environmental conditions
shared year of birth
rum red deer
mean temp against mean birth weight of females that year
temp increases - BW increases
individuals born in same year have similar birth weights
will cause issues if relatives in model born in same year - share environmental effect - share covariance due to that not Va - bias heritability estimate