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sfrd.py
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sfrd.py
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import numpy as np
import scipy.integrate
import matplotlib.pyplot as plt
from matplotlib.font_manager import FontProperties
from joblib import Parallel, delayed
import useful2
import conversions as conv
from extinction import calzetti
from dust import dust_uv, dust_ha
from LF_refs import UV_LF_refs, z2_LF_refs, M16_LF_pars
from mcmc_sim import make_dummy_mcmc
def MD14_UVLD_relation(z,a=0.015,b=2.7,c=5.6,d=2.9):
"""
Madau & Dickinson (2014) unobscured UVLD relation
"""
return a * (1+z)**b / (1+((1+z)/d)**c)
def calc_luv_density(coeff,lolim,hilim,dust='none'):
"""
Returns the UV luminosity density for given UV LF
"""
if dust=='none':
luv = lambda x: 10**conv.get_absM_from_Lnu(x,inv=True)
elif dust in dust_uv.keys():
luv = lambda x: 10**conv.get_absM_from_Lnu(dust_uv[dust].remove_dust(x),inv=True)
elif isinstance(dust,float):
luv = lambda x: 10**conv.get_absM_from_Lnu(x,inv=True) * np.exp(calzetti(np.array([1500,]),dust))
else:
raise Exception('Incorrect UV Dust.')
intg = lambda x: useful2.UV_LF(x,*coeff) * luv(x)
return scipy.integrate.quad(intg, lolim, hilim, points=np.arange(lolim,hilim,0.5), **useful2.quad_args)[0]
def calc_lha_density(coeff,lolim,hilim,dust='none',agn=False):
"""
Returns the Ha luminosity density for given Ha LF
"""
if dust=='none':
lha = lambda x: 10**x
elif dust in dust_ha.keys():
lha = lambda x: 10**dust_ha[dust].remove_dust(x)
else:
raise Exception('Incorrect Ha Dust.')
intg = lambda x: useful2.Ha_LF(x,*coeff,agn=agn) * lha(x)
return scipy.integrate.quad(intg, lolim, hilim, points=np.arange(lolim,hilim,0.5), **useful2.quad_args)[0]
def get_uvld(coeff,Mlim,imf='salp',dust='none',get_plt_err=False,N=500):
try:
chain = np.genfromtxt(coeff['fname'])
except KeyError:
chain = make_dummy_mcmc(coeff['coeff'],coeff['err'])
chain = chain.reshape((-1,10,3))
chain = chain[200:,:,:].reshape((-1,3))
luvd = calc_luv_density(coeff=coeff['coeff'],lolim=-50,hilim=Mlim,dust=dust)
sfrd = useful2.SFR_K12('uv', luvd,imf='salp')
_luvd = np.array(Parallel(n_jobs=15)(delayed(calc_luv_density)(coeff=_coeff,lolim=-50,hilim=Mlim,dust=dust) \
for _coeff in chain[np.random.randint(len(chain),size=N)]))
_sfrd = useful2.SFR_K12('uv',_luvd,imf='salp')
luvd_err = np.percentile(_luvd,q=[50-68.27/2,50+68.27/2],axis=-1)
sfrd_err = np.percentile(_sfrd,q=[50-68.27/2,50+68.27/2],axis=-1)
luvd_err = np.abs(luvd_err - luvd)
sfrd_err = np.abs(sfrd_err - sfrd)
if get_plt_err:
return luvd, luvd_err[:,np.newaxis]
return luvd/1e26, luvd_err/1e26, sfrd, sfrd_err
def mk_pretty_plot(Mlim):
fig,ax = plt.subplots(1,1,figsize=(10,8),dpi=75,tight_layout=True)
ref_keys = np.array(UV_LF_refs.keys())
_ref_keys = ref_keys.copy()
_ref_keys[_ref_keys=='mehta16'] = 'zzz16'
ref_keys = ref_keys[np.argsort([i[-2:]+i[:-2] for i in _ref_keys])]
for ref_key in ref_keys:
ref = UV_LF_refs[ref_key]
(capsize,capthick) = (8,2) if "mehta" in ref_key else (None,1.5)
print "---",ref['label'],"---"
ax.scatter(-99,-99,s=ref['s'],lw=0,color=ref['c'],marker=ref['m'],label=ref['label'])
for coeff in ref['LFs']:
luvd,err = get_uvld(coeff=coeff,Mlim=Mlim,get_plt_err=True)
ax.scatter( 1+coeff['z'],luvd,color=ref['c'],s=ref['s'],lw=0,marker=ref['m'],zorder=1)
ax.errorbar(1+coeff['z'],luvd,yerr=err,color=ref['c'],elinewidth=1.5,capthick=capthick,capsize=capsize,alpha=0.8,zorder=1)
print 'z=%.2f'%coeff['z'],luvd
ax.text(0.03,0.95,"M$_\mathrm{\mathsf{UV}}$ < %i"%Mlim,fontsize=24,fontweight=600,va='top',ha='left',transform=ax.transAxes)
ax.set_ylim(10**24.4,10**27.3)
ax.set_yscale('log')
ax.set_ylabel("$\\rho_{UV}$ [ergs/s/Hz/Mpc$^3$]",fontsize=24)
ax.set_xscale('log')
ax.set_xlim(0.9,12.9)
ax.set_xticks(np.append(np.arange(10)+1,12))
ax.set_xticklabels(np.append(np.arange(10)+1,12))
ax.set_xlabel('(1+z)',fontsize=24)
_ = [label.set_fontsize(20) for label in ax.get_xticklabels()+ax.get_yticklabels()]
leg = ax.legend(fontsize=15,ncol=2,loc=8,scatterpoints=1)
for txt,hndl in zip(leg.get_texts(),leg.legendHandles):
wht = 800 if "This work" in txt.get_text() else 400
txt.set_fontproperties(FontProperties(weight=wht))
fig.savefig('plots/uvld.png')
fig.savefig('plots/uvld.pdf')
def SFRDuv_Table_Numbers(imf='salp'):
print
print "Mehta (2016) : UVLD & SFRD Numbers for Table"
print "All numbers are for '%s' IMF" % imf
print "All luminosity densities are in units of 1e26"
print "".join(['-']*70)
print "%5s|%8s|%10s%8s%8s|%10s%8s%8s" % ('Dust','Mag Lim','LuvD','-err','+err','SFRD','-err','+err')
print "".join(['-']*70)
for ref in ['f225w_phot','f275w_phot','f336w_phot']:
print "%s"%ref.center(70,' ')
for dust in ['none','M99','C14','R15']:
for hilim in [M16_LF_pars[ref]['coeff'][1]-2.5*np.log10(0.03),-13,-10]:
luvd, lerr, sfrd, serr = get_uvld(coeff=M16_LF_pars[ref],Mlim=hilim,imf=imf,dust=dust)
print "%5s|%8.2f|%10.4f%8.4f%8.4f|%10.4f%8.4f%8.4f" % (dust,hilim,luvd,lerr[0],lerr[1],sfrd,serr[0],serr[1])
print "".join(['-']*70)
def SFRD_other_Numbers(imf='salp'):
print
print "Hayes (2010) Ha LF:"
print "".join(['-']*35)
print "%5s%8s%12s%10s" % ('Dust','Lum Lim','LHaD','SFRD')
print "".join(['-']*35)
for dust in ['none','H01']:
for lolim in [30.,z2_LF_refs['hayes10']['coeff'][1]+np.log10(0.03)]:
lhad = calc_lha_density(coeff=z2_LF_refs['hayes10']['coeff'],lolim=lolim,hilim=50.0,dust=dust)
sfrd = useful2.SFR_K12('ha',lhad)
print "%5s%8.2f%12.2e%10.4f" % (dust,lolim,lhad,sfrd)
print
print "Sobral (2013) Ha LF:"
print "".join(['-']*35)
print "%5s%8s%12s%10s" % ('Dust','Lum Lim','LHaD','SFRD')
print "".join(['-']*35)
for dust in ['none','H01']:
for lolim in [30.,z2_LF_refs['sobral13']['coeff'][1]+np.log10(0.03)]:
lhad = calc_lha_density(coeff=z2_LF_refs['sobral13']['coeff'],lolim=lolim,hilim=50.0,dust=dust,agn=True)
sfrd = useful2.SFR_K12('ha',lhad)
print "%5s%8.2f%12.2e%10.4f" % (dust,lolim,lhad,sfrd)
def SFRD_Text_Numbers():
print
print "Madau14 SFRD Relation (dust corrected): %.4f" % MD14_UVLD_relation(z=2.2)
lim_uv = z2_LF_refs['mehta16']['coeff'][1]-2.5*np.log10(0.03)
_lim_uv = dust_uv['M99'].remove_dust(lim_uv)
lim_sfr = useful2.SFR_K12('uv',10**conv.get_absM_from_Lnu(_lim_uv,inv=True))
_lim_ha = useful2.SFR_K12('ha',lim_sfr,inv=True)
lim_ha = dust_ha['H01'].apply_dust(np.log10(_lim_ha))
print lim_uv, lim_sfr, lim_ha, z2_LF_refs['sobral13']['coeff'][1]+np.log10(0.03)
luv = calc_luv_density(coeff=z2_LF_refs['mehta16' ]['coeff'],lolim=-50,hilim=lim_uv,dust='M99')
lha = calc_lha_density(coeff=z2_LF_refs['sobral13']['coeff'],lolim=lim_ha,hilim= 50,dust='H01',agn=True)
print useful2.SFR_K12('uv',luv), useful2.SFR_K98('uv',luv)
print useful2.SFR_K12('ha',lha), useful2.SFR_K98('ha',lha)
def UVLD_Numbers(Mlim=-13):
print
print "UVLD @ z~1.7"
M16 = get_uvld(UV_LF_refs['mehta16']['LFs'][0],Mlim,dust='none')[0]
A16 = get_uvld(UV_LF_refs['alavi16']['LFs'][0],Mlim,dust='none')[0]
P16 = get_uvld(UV_LF_refs['parsa16']['LFs'][0],Mlim,dust='none')[0]
print 'z:', \
UV_LF_refs['mehta16']['LFs'][0]['z'], \
UV_LF_refs['alavi16']['LFs'][0]['z'], \
UV_LF_refs['parsa16']['LFs'][0]['z']
print 'UVLD:', M16, A16, P16
print 'ratio:', M16/A16, M16/P16
print
print "UVLD @ z~2.2"
M16 = get_uvld(UV_LF_refs['mehta16']['LFs'][1],Mlim,dust='none')[0]
A16 = get_uvld(UV_LF_refs['alavi16']['LFs'][1],Mlim,dust='none')[0]
P16 = get_uvld(UV_LF_refs['parsa16']['LFs'][2],Mlim,dust='none')[0]
print 'z:', \
UV_LF_refs['mehta16']['LFs'][1]['z'], \
UV_LF_refs['alavi16']['LFs'][1]['z'], \
UV_LF_refs['parsa16']['LFs'][2]['z']
print 'UVLD:', M16, A16, P16
print 'ratio:', M16/A16, M16/P16
print
print "UVLD @ z~2.8"
M16 = get_uvld(UV_LF_refs['mehta16']['LFs'][2],Mlim,dust='none')[0]
A16 = get_uvld(UV_LF_refs['alavi16']['LFs'][2],Mlim,dust='none')[0]
P16 = get_uvld(UV_LF_refs['parsa16']['LFs'][3],Mlim,dust='none')[0]
print 'z:', \
UV_LF_refs['mehta16']['LFs'][2]['z'], \
UV_LF_refs['alavi16']['LFs'][2]['z'], \
UV_LF_refs['parsa16']['LFs'][3]['z']
print 'UVLD:', M16, A16, P16
print 'ratio:', M16/A16, M16/P16
if __name__ == '__main__':
#SFRDuv_Table_Numbers()
#SFRD_other_Numbers()
#SFRD_Text_Numbers()
#UVLD_Numbers()
mk_pretty_plot(Mlim=-13)
plt.show()