24.1-24.2, 7.1-7.3 Flashcards
(50 cards)
Hardy Weinberg law: predicting gnetci vairation in ideal pops
start with a simple rnaodmly matin ideal pop that fufuils sevral assumptions
genetcist tcould then exmaine what happens when each of the assumption is violated in trun
population geneticsts measure frequencies thatd escribe pops
a population is a group of indivduals of a single species lving in same time and pace - if sexually reproducting tehy are inetrbreeding
sum total of all alleles carried by pop memebers is gene pool
indivduals carry at most two allelic copies
thus considering an autsomal gene in a pop of N inidvudla,s the gene pool is made up of 2N allelic copies of each gene
we take a sample - finie numbe rof ppl to make inferences of the poplulatin - not consideirng their genotype or pheotpe when selecting
alllee crescribes a variant at a specific locus, gene, regon or ncuelotide position of the genome
if the sample reveals only one allele at the ncuelotide position, that site is monomorphic but if mroe than one allele or varinat at the site then its polymorphic
sampel allows us to detrmine frequencies of alleles inthe pop at a time
geneotype and phenotype freq
genotype freq is teh proportion of total indivduals in a pop that have a partciualr genotype
to determine genotype freq, you count the numbe rof indivduals of each group and divide by the total number of indivduals in the population
its not possible to distinguish between homozygotes and hetrozygotes whne dom alolele involved - so u use molecular asssay that distinhushes between diff alleles at dna level
sampe has two pheontypes - melanin or albinism - phontypic frequnecies are number of homozygote or hetrozygo/ total and homozygous recessive.toal
but genotyep would be seperating the homozygous dom and hetrozygous numbers
sum of freuqneices will give 1
allele freq
allele freq is proportion of gene copies in a pop that are of a given aklele type bc each dinvidual in a pop has two copies of each chromsome, total numbe rof gene copies is two times the number of idnviduals
homozgous contirbute to frequency of allele twice but hertozygous is once to each alelle
frequneices again sum to 1
an equivalent way to calc the frequency of any allele is to use the following formulas on geneotype freq:
freq of A = freq of AA + 1/2 freq of Aa
freq of allele a = freq of aa + 1/2 freq of Aa
hardyweingber law correlates allele and genotype freq
when the bledning of traits was cbsodiered to be inhertance ppl though recesisve traits would becone extinct
Hardy explored the claim after mndlenian segregation
Hardy showed that if certain assumptions were met, allele freq, geneotype freq and pheontype freq would remian cosntant overtime and bewteen gens
assumptions of HW law
assumptions:
- pop is composed of large number of diploid indivduals (infinte)
- indivudlas genotyep at locus of inetrest has no infleucne on mat echoise- that is mating is random
- no new mutations appear in the gene pool
- no migration of idnivduals occrus into or out of the pop
- diff genotypes at the locus of interest have no impacts on fitness - the abbility to survive to reporducve age and tarsnmit the genes to the next gen
if pop close to assumptions then frequenices dont change oevrtime
pop is in HW equllibrium
allele and genotype freq dont change unless asmption list is violated
no pop is actually ideal however but they can besome what close - the focus is on a singular gene which can usually meet the assumptions
predicting genotype and phenotype freq from one gen to next
diploid sexual pop, allele freq are trasnformed by mating into genotype freq
the law of sgegatina nd rnadom mating have two impornat cosnqeunces
haploid gametes are rpoduced by diploid adults of one gene accoridng to law of segration so that each allele only appears in half the gamates
the liklihood of producin a agmeet doesnt depend on gametes genotype, then allele freq in audlts should be same as allele freq in gametes they produce
if random occurs and the population is large, the alalle frq in the gametes can be used to predict gentupe freq in zygotes of next gen
we can see how this ahppens using a special type of punnet square which prpvides a systemtic means of considering all possible combos of uniting gametes
bc gentype of sperm is idnependt of gentupe of egg, can apply the produc rule and use seqution of p^2 + 2pq + q^2 = 1
p and q values of alleleic freq and the each term is geneotype freq
random mating among diff genotype is equivlent to random combo of gametes produced by all idnviduals in the pop
size of teh sectors hwoeevr arent equal - proportion of gametes beairng teh two alleles correspond tow hatever the freq of the two alleles are in pop being considered
gentype freq of zygotes arising in large ranodm mating pop of sexually repropducing diploid organism that satisfy eqbm asusmptions are p^2 for AA , 2pq for Aa and q^2 for aa
genotype freq are knwon as the hardy wienberg proportions
bc the genotype freq represent teh totality of genotypes in pop, they must sum to 1
(p+q) reps all sperm and eggs produced byt adults - the square reps random fertlization
if more than two allees then add in anoteh rletetrs to the square (eacgh letter is sqyares and then get a 2pq, 2pr etc
populations with gentope freq in hardy wienberg proprtions will be in eqbm, emaning tha the allele and genotype freq will remain unchanged over the gens as long as the assumptions remain valid
you can use the rules fo rocmuting alelle freq from genotype freq to compute the allele freq on the next gene and hsow they dont change
p^2 is AA and 2pq is het etc
p+q is going to be 1 so q = 1-p , the fre qof allele A in the progeny of the orgnial gen has a an equation etc
allele freq among progeny are same among parents.- they remain p and q
[otentional for eqbm answers the question of extinction of recessive traits
in absence of fitness difference or major variation from assumptions, colours dont go extinct just c they are recessive
the freq of alleles and genetypes that produce them stay constant over time
one and only one HWE exists for a set of alle freq p and q but diff values of p and q imply diff HWE
when q is small, most of a alleles are carried by heterozygotes
freq of hertozgotes is highest (505) when p and 1 are equal to 0.5
power of random mating in shaping genotupe freq
one gen of rnaodm mating can be sufficient to establish eqbm is autsomal trait
bc mating betwen all adults is rnaodm u can consider the pools of sperm and egg as reflecting the allele freq
this wya of viewing gamete pools rpedicts that the next gen of insects on islant would be distributed in hardy weinberg proprtions
use the genotype freq (p^2 etc) and muktply by next gen total pop to get genetic freq expectancy
a population that is initially startifed bc of its founding by indivduals fromtwo or mroe disnct pops having diff allele freq for autsomal locus shift to HW gentype protions in single mating
but the alalle freq in the next gen doesnt cahnge
conservstion of allele proprtions princple holds forme ahc gen to next as lon as pop meets the assumptions
before hwe is reeached, two pops with same allele freq dont necesarily ahve the same genotype freq
if genotype freq are diff, the phontype is likley to differ
HW eqbm and x linked gnes
sex-linked genes like thoe on x chromsomes take many gens to reach hwe if alelle freq differ bewteen males and females and genotype freq arent intially in HW proportions
its based on the fatc that males only have one x chromsome while female have two so allele freq of males is euqal to alele frq of males in prev gen and females allele freq is equal toa varge frq in male and female of prior gen bc they receive x form each parent
at hwe the allee freq in male and female are equal to eachother and for eitehr alle itll be 2/3 initia a;a;;e freq in femals plus 1/3 initia freq in males
bc freq of A and a in male and femal at hwe are p and q then freq of AY and aY males is p and q respectvely bc y chromsome hasno copy of gene
and at hwe we expetc trhee kinds of femals in freq of p^2, 2pq etc
fact that allele freq of x linked genes are tsh aem in male and females while genotypic freq diff unlies common observation that many more male are red green CB than females
many loci in human pops are near hw proprtions
once in hwe, u can rpedict allele freq from egnotypic fre and gentype and phenotype freq from allele freq
random mating may seem at first thought to be a partcualrly unrelaistic asusmption for humans but we stidy specific genotypes
conections betwene genotype and phnotype are so complex that we rarely choose mates based on the genotype being studies
so often human genes can follwo HWE
using hw to analyze dna profiles
HWE is crucial for inetrntpation of DNA profiling in forensic investgation
perfect match between clood in vistims nails and suspetc
pop genetics allow sicnetist to answer with numebric precilaon - how likley the dna is from a rnadom person
most usueufl dna markers for foresnic are polymorphic anonmyous loci that are highly variable in ppl
there are 20 unliked simples eqeunce repeat loci (SSRs) found in genome
results obtained are in CODIS
ciminal investgators and juries need to be bale to condluc that perfect corepsonde at all 20 CODIS loci betwene sampek and suspect isnt simply a chance match - what is likelyhood that this could be found in ponetnial suspects
SSRs chosen are selcted bc they unliked toe ach other and highly vairbale and in
HWE
from allele frq investgators can use equation to calc the likleihood of a match of diploid genotype for any one locus
bc the codis loci are unlinked the locus are idnepdnet - so multply the expetced freq for each locus to see expected freq of the 20 locus genotype
suppsoe dna prpfile comon to both the cirme scene sampel and suspect was het for two alelles of one CODC loocus, with alelle freq of 0.05 and 0.03 and homozygous for alelle os seocnd gene hwose freq is 0.04
the freq of any one het genotype ta a locus is 2*freq allele 1 * freq allele 2 while teh freq of homzygous gentype is square f allele freq
match probability is both things multiplies
- super low freuncy that they would match
match probaulity for any 20 locus CODIS gentype is low bc freq of alles is low
if all matches then theres strong liklehood that suspect is the person
1.9x10^-22 that its a rando
so (1/ answer_ = 5,.3 x10^21 that it is suspects DNA
dna profiling reuslts would constiyte compelling evdience connecting suspect with dna udner fingernail
24.2 What causes allele freq to change in real pops
diff pops of the human species have dramatcially diff prortions of indivduals with blue eye colours
one gene has greates infleucne in dtemring whetehr eye colour is blue or borwn
ppl homozygous for hypoormphic OCA2 muations have little melnain in eye so blue colour
the differences between pops in proprotions of blue-eyed ppl reflect variations in alelle freq of a SNP that is located just upstream of the OCA2 gene and helps us detrmine the genes level of expression
many other loi in human genome like the one respisnble for lactose tolerance or intolerance also display geographical diffeences in alelle freq
HW provide starting point for moedlling actual pops
in natural pops, conditions always deviate at least slightly from the HW assumptions
these exceptions to HW conditions chnage the genetic makeup of a pop overtime and thus are essential for the evolution of living forms
even though deviations from HW assumptions always exits, the HW equation still provides remarkbaly good estimates of allele, genotype and phenttpe freq over short run - one or few breeding gens of large pop
over long run, relaities of natural populations mean that the HW equation by itself cannot predict how genetic freq chnage over teh course of many gens
the HW veiwpoint still serves role in rpoviding ofundation of math models that incorptae factors rreponsible for deviations from eqbm conditions, allowing pop genetcists to mdoel sucessfuly the dynamics of actual pops
in finite pops, chance plays a crucial role
H and W derived equation by extending mendels law of segregation
it tells us allele inhertance is like a flip of a coin - eitehr alele of autsomal gene from het parent with equal propability
mendels law does predict teh approx proportoon of a large cohort of offpsring that will inehrit a partcular alllele; the larger the cohort, the more accurate the prediction
hw equation is based on idea that teh freq of alleles transmitetd to next gen are same as thsoe in parental egn
alleles are contirbuted to pool of gametes and end up in zyogotes in exact way freq as they are rpesnet in parental egnotypes
this is only valid is size of population and number of gametes contributed to netx gen is large
bc no population is infite, no pop truly abides by hw euqtaions
computer simulation of chance in populations
to simulate long term alelle freq changes in a finite pop, the input of allele freq for HW equation must take into account the efefct of chance on choosing the gaemets used in each gen
reseachers nmdoel teh effect of sampling errors using monte carlo simulation - progrma that uses random number gen to chosoe outcome for each proabilistic event
monte carlo begins with pop having deinfed number of indivduals of each homozygous and het class
the size of the population is a key variable
the prorgam sets up matings bewteen indivduals chosen by rnaodm numebr gen
if chosen parnet is het, prorgam flips coin to decide whcih aelles is trasnmitted
simluations jaduts birth rate so pop size remians constnt and do not allow mating of diff gens
after data are reocrded, computer does new run withs ame initial conditions
reserachers can get sense of what outcoems are psosble and with what probabilities
genetic drift
the computer ran 6 monte carlo simulatiosn intialized with pop of only 10 indivduals all hetozegous
eahc pop has 20 gene copies and each allele occurs with frequency of 0.5
simulation in first gen is matehmatically equiv tor euslt obtained by tossing a coin 20 times
freq of A allele coudl range from 0.25 to 0.65 with avg of 0.48
avg freq of A in first gen among 6 simulated pops isnt too far from 0.5 predicted by HW equation
but rnaodm chocies made in each expeimrnt guided eahc indivdual pop doewn a diff path of genetic drift - a chnage in allele freq as a consequnce of sampling error from one gen to the next
genetic drift occurs bc the allele freq in any gen provides the basis for the psosble allele freq in next gen
ex. if one allele has already drifted to high freq, a good chance exists it would go higehr in next
a gentic drift culminated in teh loss or exticntion of one of the two orginal alleles by gen 18
in eahc instance, efefcts of changes in alelel freq from one gen to teh next caused extinction of one allele and fixation of the remaining alllee
genetcist consider a pop to be fixed at locus when one allele has survived and alle idnviduals are homozygous for it - not chnages in alelel freq can occur besides migration ro mutation
pop size had huge efefect on allele freq dynamics
if pop size is large, there are changes in single generations of alleles thata re small
bc chnages in alelle freq are small, the HW equation provides good estiamte of allele and genotype freq in large pops over few gens
series of small chnages cana dd up to alrge consueqnce over long run so that tehse pops will evntually become fixed for an allele
founder effects and pop bottlenecks
when pops beocme small, egnetic drift can be accelrated by two proceses: founder effetcs and pop bottlenecks
founder efefct occur when a few idnivduals seprate from a large pop and etsablis a new one that is isolated from teh orgnal
small numebr only carry fraction of gene copies form orgnail pop
by smapling erorr, allee freq can be diff form orgnail pop
if pop remains small for a time, then additonal gentic drift can change allele freq
population bottlenecks occur when a alrge proprotion of indivduals perish often as consueqnce of envrinmental distrubances or disease
the surviving indivduals are essentially equivalent to founder populaton and as long as the population size stays small, egentci drift will be accelerated frutehr
mutations introduce new genetic variation
while genetci drift leads ventually to loss of egnetic vairability in ifnite pops, new variants arise continually bc of muattions or migration
a mutation is a varinat dna sequence in genome not present in genome of parents
spont mutatntons are so infreqeunt in idnivdual genes that their impact on changing alelel freq at one gene in a pop can be ignroed
but mutatons are of course source of new alleles which means they do matetr at some point
deleterious mutations disurpt impronat functions like activty of protein encoded by gene
benefical mutations provide selctive advantage to an organism or pop that are usually rare
neutral mutations provide no hrm or beneift - they are equavlent to the orgnaint alelle
in ifnite pop where a new, selctevly netal allele occurs by mutation, eventually the new allele is fixed or is lost
proabbility of allele going to fixation is equal to alelle freq p so prorbaility of alelel ebing lost is 1-p
bc teh freq of a new alelel indcued is low, this mena sthat most new muattons are lost and loss is higehr as pop increases
for rare muatons, not lost, it shows that avg numebr fo gens to fixation is roughly equal to wtice the total number of gene copies in beeding indvudals (4N, n is numebr of idnivduals)
teh chance new muaton goes to fixatin is reduced as pop gets larger but more muatton occur in alrge pops
the two factors ocunetrbalance
avg rate of change in dna squence oevrtime is equal to teh rate of input by mutations - rate is indepdnet of size of pop
mutation rates appear to be relaely constant overtiem
the impcaton is tah neutral egentic drift aloene leads to time depdnent accumalton of dna differences at roughly constant rate bwteen isolated pops
this provides molecular clock, they can ifner approx how long in past diff types of organism diverged froma. common ancestro by exmaining how diff the DNA seqeunces of tehs eorganisma re from eachotehr
natural selection acts on differences in fitness to alter allele freq
for many traits, gentype ifnelucnes surval and teh ability to reproduce
in real pops, not all idnviduals surviev to adults or reproduce
gentype freq not only change within lifespand but also bewteen gens
fitenss and natrual selction
idnviduals ability to survive and trasnmit genes to next gen is its iftness
although fitness is an attribute associated with genotype, it cant be measured within a single idnivdual; the reaosn is that each animal witha aprtcular genotype survives and rpeodcues in manenr gretaly afefcted by chance cirucmstances
but consideirng all ppl of genotype beocmes easier to measure fitness
differences in fitness can have rpfound efefct on alelle reeq in pop
two compoents of fitnesS: viability and rpeoduive sucess
fitness of idnviduals with variations that hekp them survive and reproduce in a changingenvriment is high; fitness of idnivudals without them is low
naturae slowly elmated low fitness ppl - natrual seletcion
it acts on all traits in natrual pops
ideal HW pops ar etstaic and dont dvelop tehse differences
adding selction to HW predictons
HW eeuqaton undeirng slectin with analsysi that ebgins in HW prorptons
gentype freq AA, Aa and aa are the equation freq
assume tha the two compnents of fitness dpend on egnotupe n same way
if relative fitness W of each trhee of genes is WAA, WAa etc, the relative frequencies of three gentypes at adult hood are p^2WAA, etc
usually geneticst assign values to fitness by calling alrgest of numebrs 1, so the relative fitness of less fit genotyep is less than 1
fitness HW equatn is usefule when relative fitensses are nromalized so taht each term in equation reps an actual ratehr than relative genotype freq
normalizatin is calc by: setting the sum of terms in mdofies equation equal to W or the mean fitness which reps the sum of relative contirbution of eahc genotype to mating pool
when genotype fitness differ, W is less than 1 bc not all zygotes become mating compent adults
then divide each side by W so eahc term divides by W and its equal to 1
this is atcual freq that eahc genotypes assumes in pool of mating adults
the mean fitness of the pop,W changes from gens in way that psuhes the value toward one overtime
a value less than 1 means not all zygote genotypes have euqal chance of mating but sletcion result in icn in freq of favorued genotypes so mean fitness in adult pop is higher, closer to one, than it was in pop of zygotes
use p’ and1’ to rep frequencies of A and a in mating addults and gamtes they produce
freq of allele a is reuslt of contribution of a by hets and homozygous
thus in one gen of slectionm, teh allele freq of a has changed from q to q’
the change in alele freq over one gen of selction is estmated as change in q = q’-q
selection causes freq of allele to change form oen gen to next and depnds on the orginal ffeq of the two allees and fitnesses of three genotypes
if fitenss is same then change in q is equal to -
if no gentype related ifferences in fitness exist, tehres no slection and allele freq only subject to genetci drift
delectious efefcts of recesive gentic traist can afefct freq of mutatnt alelel oevrtime in pop
if disease dec fitenss by decreaisng probaulity of surving to adulthood then teh fitness of DD and Dd are the same while fitness of dd woudl be reduced
bc relatiev fitness is imprnat DD and Dd fitness = 1
for genotype with delet efefcts, fitness of recesisve can very from less than 1, minimal slection againts to 0, lethal so no dd indivduals surive to audlthood
if selcton is against then chnage in q is neg and freq of d alelel decreases with each gen
when Wdd is less than one, preicton that rate at wihci q decreases overtime dimisnhes as q becomes smaller
this is bc chnage in q vzires with q^2 bc q is always less than 1 so q^2 is less than q
(rpaid dec in allele freq then slows down as q is small)
as q ebcomes msaller, ppl with disease are rare
theres an inc in proprtion of d alleles from hertozgous
so the 2pq ratio to q^2 increases
allele rfeq of q should decline slwly as q moves closed to zero
natrual seletcion in finite pops
modifying HW equaton with rletaive fitnesses oevrcomes one limtaton of organial equation: asusmpton that all psosible genotpes are equal in fitness
solutin is to dtermine change in q suffers from dpednece on asusmptoon of infite pop
can use the moded HW equaion to devlp monte calro sims that explore impact of natrual selction on finite pops
ex. 500 pp, 499 bb and one mutation gives het Bb which has advtange in survive giving fitnes of WBB and WBb =1 and Wbb = 0.98
this elmiated 2% of bb indivduals created in each gen
in three sims, the B alelle goes exinct but in pops were it inc to freq of allele of 0.1 then it moves to fixation
newmuatnt allele even with small advtange can impact gens
natural slection on huamns
founder pops encountered envrinmental conditions in EUrope and Asia distinct from Africa so fitness of alt alleles become revrsed like skin pigment
UV provides benfit and harm - benefits vitamin D prdcyton but harm is muattons in skin causing cancer
dark skin provides proetcton against skin cancer but allwong vitamind d productn
at high lattitudes, sun is less instence so skin cancer isnt prob and lighetning skin allows more UV through for enough vitamin D
skin is complex trait
KITLG is gene in skin pig
europeans and asians share common SNP vaurant of KITLG repsnible for reduction in pigrmentation, sugegstin tehy derived it from comon ancestro
but they indepndtlya ccumatles vairants of otehr two loci
so even though same slective pressure existed, selction acted on diff muatton that occured at diff times
recent natrual selction changing alele freq in huamns is lactase persietnce
selctin rbought but devlopment by humans of agriculture and ctatle that provides milk
chance occurance of mutons in regions upsteram of gene encoding the enzyme for lactose digestion elimated the turning off of gene expresing past wenaing that takes palce in all otehr mamals
ppl who could digest milk as youn and adults survived better when food was scare leaidng to fitness in part of world for lactase persistance mutation
baacing seletcive forces can maintain alelles in pop
sickle cell disease conditon from two copies of recesisve alelle fro beta globin gene
suprising it hasnt dsapered
highest freq of thsi conditon in africa where malaria is endemic
hets of nromala nd sickle alelles are reistant to malaria
so indivduals of het have hetozygote advtnage over eithe rhomozygote
hetrozugote advanteg is one of several proceses leaidng to balacing selecton that atcievly maintains genetci polmorphisms
hets has max relative fitenss of 1
selction mainatins both aleles in pop only if change in q = 0 ffor some vale of q bewteen 0 and 1
teh q value ta which chnage in q = 0 is alleles equillibrium frequency
to find eqbm frqeuncy, the vale. of q at which change is equal to - such that both alelels persist in pop, you need to know onl the relative fitness of two homzygous bc WAa ste to 1
if u know eqbm and fitness of homzogoues u can use it to find otehrs
when q greater than qe, chnage in q is neg
then q will derease twoard equallibium
but whne q is less than qe, teh change is pos and freq of alelle is inc toward equllibium
allel freq is tsbalized at eqbm bc a chnaeg away from eqbm is follwoed by change toward it