Created
December 4, 2011 18:48
-
-
Save tpoisot/1430969 to your computer and use it in GitHub Desktop.
Simple model of population genetics
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
gfreq = function(p) list(AA=p^2,Aa=2*p*(1-p),aa=(1-p)^2) | |
mfit = function(p,fit) | |
{ | |
with(as.list(fit),{ | |
mf = (p^2)*wAA+(2*p*(1-p)*wAa)+((1-p)^2)*waa | |
return(mf) | |
}) | |
} | |
pp = function(p,fit,mu) | |
{ | |
mf = mfit(p,fit) | |
with(as.list(fit),{ | |
np = ((p^2)*wAA+p*(1-p)*(wAa)/(mf))*(1-mu) | |
return(np) | |
}) | |
} | |
simul = function(p=0.1,s=0.1,mu=0.01,t=100) | |
{ | |
fit = list(wAA=1,wAa=1,waa=1-s) | |
Results = matrix(0,ncol=6,nrow=t+1) | |
Results[1,] = c(0,p,(1-p),unlist(gfreq(p))) | |
for(i in 1:t) | |
{ | |
p = pp(p,fit,mu) | |
Results[(i+1),] = c(i,p,(1-p),unlist(gfreq(p))) | |
} | |
Results = as.data.frame(Results) | |
colnames(Results) = c('t','A','a','AA','Aa','aa') | |
return(Results) | |
} | |
out = simul(t=200) | |
plot(out$t,out$Aa,lty=3,type='l',ylim=c(0,1),xlab='Generation',ylab='Genotype frequency') | |
lines(out$t,out$AA,lty=1,type='l') | |
lines(out$t,out$aa,lty=2,type='l') |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment