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admixture_parameters_posteriorDistn_95CI_DuchenRhoTheta.py
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admixture_parameters_posteriorDistn_95CI_DuchenRhoTheta.py
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import numpy
import sys
from scipy.stats import rv_discrete
import os.path
rho_in=float(sys.argv[1])
adaptive_theta=float(sys.argv[2])
selection=sys.argv[3] # boolean indicating if we are similating with selection
locusLength=int(sys.argv[4])
mu=float(sys.argv[5])
# input parameters:
#rho_in=10**-8
def generate_random_number(inFile, parameter):
# record the 95% CI for each parameter
param_95CI={}
param_95CI['Nac']=[2.40*10**6, 9.13*10**6]
param_95CI['Nec']=[0.39*10**6,9.55*10**6]
param_95CI['Nea']=[3.58,4.83]
param_95CI['rand_Tae']=[4.69,5.86]
param_95CI['Nnc']=[1.11*10**6,28.8*10**6]
param_95CI['Tadm']=[2.08, 3.82]
param_95CI['proportionAdmixture']=[0.64,0.97]
param_95CI['Nna']=[2.20,4.79]
param_95CI['Ta']=[0.82*10**6, 3.45*10**6] # multiplied by 10 to make in terms of generations
param_95CI['sev']=[-0.15, 0.57]
param_95CI['Naa']=[1.98*10**6,9.55*10**6]
# read in the posterior distributions for each parameter
distn = open(os.path.expanduser("~/Jensen_response/scripts/posterior_distributions_admixture/%s" %inFile) , 'r')
distn.readline() #header
param_val=[]
density=[]
for line in distn:
line=line.strip().split()
param_val.append(float(line[0]))
density.append(float(line[1]))
density=numpy.asarray(density)
# make density sum to 1
density=density/density.sum()
value_found=False
# draw random value
while value_found == False:
random_value=numpy.random.choice(param_val, p=density, replace=True, size=1)[0]
# check if the random value is within the 95CI
if random_value >= param_95CI[parameter][0] and random_value <= param_95CI[parameter][1]:
value_found=True
return(random_value)
numberOfSimulations=1
for i in range(0, numberOfSimulations):
# fixed parameters:
totalSampleSize=145
sampleSizeAfrica=0
sampleSizeEurope=0
sampleSizeAmerica=145
smu=0 # test for 0, 0.01, and 10 for neutrality, HS, and SS respectively
mu=10**-9
# First set the current population size of Africa
Nac=generate_random_number('distrNeAfr.txt','Nac')
# the above Nac is used for scaling subsequent parameter estimations
#theta:
theta=4*Nac*mu*locusLength
#recombination rate:
recombinationRate=4*Nac*locusLength*rho_in
# demographic parameters:
# scaledNeEurope
Nec=generate_random_number('distrNeEur.txt','Nec')
scaledNeEurope=Nec/Nac
# Europe ancestral
Nea_log=generate_random_number('distrLogNeEurBn.txt','Nea')
scaledNeEurope_ancestral=(10**Nea_log)/Nac
# Time of Africa-Europe split
rand_Tae=generate_random_number('distrLogTimeSplitAfrEur.txt', 'rand_Tae')
Tae=(10**rand_Tae) #do not divide by 10 because we want everything in terms of generations
scaledTimeSplitAfricaEurope=10**rand_Tae/(4*Nac)
growthRateEurope=-(1 / scaledTimeSplitAfricaEurope) * numpy.log(scaledNeEurope_ancestral / scaledNeEurope)
#growthRateEurope=10**(numpy.log10(scaledNeEurope_ancestral/scaledNeEurope)/Tae) -1
# current population size of america
Nnc=generate_random_number('distrNeAme.txt','Nnc')
scaledNeAmerica=Nnc/Nac
# admixture time
Tadm_rand=generate_random_number('distrLogTimeAdm.txt','Tadm')
Tadm=10**Tadm_rand # this is in terms of generations
scaledTimeAdmixture=(10**Tadm_rand)/(4*Nac)
scaledTimeAdmixture2=scaledTimeAdmixture+0.0001 # from the old code -- need to add a little extra time?
proportionAdmixture=generate_random_number('distrPropAdm.txt','proportionAdmixture')
# ancestral North America
Nna=generate_random_number('distrLogNeAmeBn.txt','Nna')
scaledNeAmerica_ancestral=10**Nna/Nac
# growth rate america
growthRateAmerica=-(1 / scaledTimeAdmixture) * numpy.log(scaledNeAmerica_ancestral / scaledNeAmerica)
#growthRateAmerica=10**(numpy.log10(scaledNeAmerica_ancestral/scaledNeAmerica)/Tadm) -1
# time of Africa bottleneck
Ta=generate_random_number('distrTimeAfrBn.txt','Ta') # this is already in terms of generations (it has been multiplied by 10)
scaledTimeAfricaExpansion=(Ta- 1000)/(4*Nac) # T_a=237227 years and 1000 comes from bottleneck duration of 1000 gens
scaledTimeAfricaCrash=Ta/(4*Nac)
sev=generate_random_number('distrSeverity.txt','sev')
scaledNeAfricaBottleneck=(1000/10**sev)/Nac # sev is in terms of duration/pop size, and duration is fixed at 1000 gen.
lower=1.98*10**6/Nac
upper=9.55*10**6/Nac
# ancestral african population size
Naa=generate_random_number('distrNeAfrAnc.txt','Naa')
scaledNeAfricaAncestral=Naa/Nac
# want adaptive mutation to be 1/Ne in population:
starting_frequency=1/(2*scaledNeAmerica*Nac)
# other hyper parameters:
s_rand=numpy.random.uniform(0,1)
age_rand=numpy.random.uniform(0,1)
s=2*Nac*s_rand
s2=2*s
age=age_rand*scaledTimeAdmixture
# print these parameters to a file
if selection == 'True':
command='~/./msms/bin/msms ' + str(totalSampleSize) + ' 1 -N ' + str(Nac) + ' -t ' +str(theta) +' -I 3 '+ str(sampleSizeAfrica) +' ' + str(sampleSizeEurope) +' ' +str(sampleSizeAmerica) +' -n 2 '+ str(scaledNeEurope) +' -g 2 ' + str(growthRateEurope) + ' -n 3 ' + str(scaledNeAmerica) + ' -g 3 ' + str(growthRateAmerica) +' -es ' + str(scaledTimeAdmixture) + ' 3 ' + str(proportionAdmixture) +' -ej ' +str(scaledTimeAdmixture) + ' 3 2 -ej ' + str(scaledTimeAdmixture) + ' 4 1 -ej ' + str(scaledTimeSplitAfricaEurope) +' 2 1 -en ' + str(scaledTimeAfricaExpansion) + ' 1 ' + str(scaledNeAfricaBottleneck) + ' -en ' + str(scaledTimeAfricaCrash) + ' 1 ' + str(scaledNeAfricaAncestral) + ' -r ' +str(recombinationRate) + ' ' + str(locusLength) +' -SAA ' + str(s2) +' -SaA ' + str(s) +' -SI ' + str(age) +' 3 0 0 ' + str(starting_frequency) + ' -SFC -Smu ' + str(adaptive_theta) + ' -Sp 0.5 -oTrace > $file\n'
else:
command='~/./msms/bin/msms ' + str(totalSampleSize) + ' 1 -N ' + str(Nac) + ' -t ' +str(theta) +' -I 3 '+ str(sampleSizeAfrica) +' ' + str(sampleSizeEurope) +' ' +str(sampleSizeAmerica) +' -n 2 '+ str(scaledNeEurope) +' -g 2 ' + str(growthRateEurope) + ' -n 3 ' + str(scaledNeAmerica) + ' -g 3 ' + str(growthRateAmerica) +' -es ' + str(scaledTimeAdmixture) + ' 3 ' + str(proportionAdmixture) +' -ej ' +str(scaledTimeAdmixture) + ' 3 2 -ej ' + str(scaledTimeAdmixture) + ' 4 1 -ej ' + str(scaledTimeSplitAfricaEurope) +' 2 1 -en ' + str(scaledTimeAfricaExpansion) + ' 1 ' + str(scaledNeAfricaBottleneck) + ' -en ' + str(scaledTimeAfricaCrash) + ' 1 ' + str(scaledNeAfricaAncestral) + ' -r ' +str(recombinationRate) + ' ' + str(locusLength) + ' > $file\n'
print command + '\n' + str(Nac) + '\n' + str(s) + '\n' + str(age)