## Population genetic course resource: Quantitative traits 1

Here’s the first of 3 Quantitative trait simulations I wrote for last year. We used them in class and also had the TAs in my big undergrad class use them.

Code to simulate the phenotypes of a population. There are L biallelic loci. Each locus segregates an additive allele with equal effect on the phenotype at 50% frequency. The effect of these loci is normalized such that the additive genetic variance is 1. An environmental variance is then added, which you get to chose.

The figures below show histograms of the distribution of the phenotype within the population for L=1,3,10,100. The environ. variance is set low (=0.01) to allow the changing number of peaks to be seen. With a bit more environmental variance these distributions quickly approach the normal distribution (i.e. the central limit kicks in).
Ideas: Redo these simulations using the ~160 height loci found to date. Will hopefully code that up shortly.

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If you do use these figures or code, please acknowledge that fact (mainly so that others can find this resource). Also add a comment to the post so I can see how widely used they are, to get a sense of how worthwhile this is. If you find a bug or make an improved version do let me know.

```##Quantitative genetics sims

pheno.geno<-function(L,environ.var){
allele.freq<-0.5   ###each locus is assumed to have the same allele frequencies. This is just to simplify the coding, in reality these results work when each locus has its own frequency (and the coding wouldn't be too much harder).

###L try values between 2 and 100
Num_inds=10000

## try some values between zero and (say) 5.
### the genetic component is scaled below so that its variance is 1
##thus you only need play with the environmetal variance

##MAKE A MUM
## For each mother, at each locus we draw an allele (either 0 or 1) from the population allele frequency.
##We do this twice for each mother two represent the two haplotypes in the mother
mum.hap.1<-replicate(Num_inds, rbinom(L,1,allele.freq) )
mum.hap.2<-replicate(Num_inds, rbinom(L,1,allele.freq) )
##type mum.hap.1[,1] to see the 1st mothers 1st haplotype

##Each mothers genotype at each locus is either 0,1,2
mum.geno<-mum.hap.1+mum.hap.2

##assuming that each allele at locus has the same effect on phenotype, sum the genotypes to get the additive genetic "phenotype"

##I normalize this to have variance 1, to make it comparable to the environmental variance.

##add the environmental contribution to the trait to get the overall phenotype

##normalize the trait to have mean zero
mum.pheno<-mum.pheno-mean(mum.pheno)

##plot a histogram of the distribution of the phenotype within the population
layout(1) ###done in case this is run after the code with 3 plots
hist(mum.pheno,breaks=1000,xlab="Phenotype",main=paste("Number loci=",L,"environ. variance=",environ.var,"genetic variance=1"))

}

for(L in c(1,3,10,100)){
png(file=paste("geno_pheno_L",L,".png",sep=""))
pheno.geno(L=L,environ.var=.01)
dev.off()
}

```