def calc_age_pdf(self,fehdist='casagrande'):
"""
NAME:
calc_age_pdf
PURPOSE:
calculate the age PDF for a uniform SFH for a given metallicity
distribution
INPUT:
fehdist= either:
1) a single metallicity
2) 'casagrande': local metallicity distribution following Casagrande et al. (2011)
3) a function giving
OUTPUT:
a function between 800 Myr and 10 Gyr giving the age distribution
HISTORY:
2014-02-27 - Written in this form - Bovy (IAS)
"""
if isinstance(fehdist,(int,float,numpy.float32,numpy.float64)):
pz= numpy.zeros(len(self._zs))
pz[numpy.argmin(numpy.fabs(self._zs-isodist.FEH2Z(fehdist,zsolar=zsolar())))]= 1.
elif isinstance(fehdist,str) and fehdist.lower() == 'casagrande':
pz= numpy.array([localfehdist(isodist.Z2FEH(z,zsolar=zsolar()))/z for z in self._zs])
else:
pz= numpy.array([fehdist(isodist.Z2FEH(z,zsolar=zsolar()))/z for z in self._zs])
pz/= numpy.sum(pz)
agezdist= self._omega/self._coarsemass
pz= numpy.tile(pz,(len(self._coarselages),1)).T
postage= numpy.nansum(pz*agezdist,axis=0)/numpy.nansum(pz,axis=0)/10.**self._coarselages
postage= postage[self._coarselages > numpy.log10(0.8)]
postage/= numpy.nanmax(postage)
lages= self._coarselages[self._coarselages > numpy.log10(0.8)]
postage_spline= interpolate.InterpolatedUnivariateSpline(lages,
numpy.log(postage),
k=3)
return lambda x: dummy_page(x,copy.copy(postage_spline))
def calc_age_pdf(self,fehdist='casagrande'):
"""
NAME:
calc_age_pdf
PURPOSE:
calculate the age PDF for a uniform SFH for a given metallicity
distribution
INPUT:
fehdist= either:
1) a single metallicity
2) 'casagrande': local metallicity distribution following Casagrande et al. (2011)
3) a function giving
OUTPUT:
a function between 800 Myr and 10 Gyr giving the age distribution
HISTORY:
2014-02-27 - Written in this form - Bovy (IAS)
"""
if isinstance(fehdist,(int,float,numpy.float32,numpy.float64)):
pz= numpy.zeros(len(self._zs))
pz[numpy.argmin(numpy.fabs(self._zs-isodist.FEH2Z(fehdist,zsolar=zsolar())))]= 1.
elif isinstance(fehdist,str) and fehdist.lower() == 'casagrande':
pz= numpy.array([localfehdist(isodist.Z2FEH(z,zsolar=zsolar()))/z for z in self._zs])
else:
pz= numpy.array([fehdist(isodist.Z2FEH(z,zsolar=zsolar()))/z for z in self._zs])
pz/= numpy.sum(pz)
agezdist= self._omega/self._coarsemass
pz= numpy.tile(pz,(len(self._coarselages),1)).T
postage= numpy.nansum(pz*agezdist,axis=0)/numpy.nansum(pz,axis=0)/10.**self._coarselages
postage= postage[self._coarselages > numpy.log10(0.8)]
postage/= numpy.nanmax(postage)
lages= self._coarselages[self._coarselages > numpy.log10(0.8)]
postage_spline= interpolate.InterpolatedUnivariateSpline(lages,
numpy.log(postage),
k=3)
return lambda x: dummy_page(x,copy.copy(postage_spline))
def loggteffcut(teff, z, upper=True):
if not upper:
return 1.8
else:
feh = isodist.Z2FEH(z, zsolar=zsolar())
this_teff = (4760. - 4607.) / (-0.4) * feh + 4607.
return 0.0018 * (teff - this_teff) + 2.5
def loggteffcut(teff,z,upper=True):
if not upper:
return 1.8
else:
feh= isodist.Z2FEH(z,zsolar=zsolar())
this_teff=(4760.-4607.)/(-0.4)*feh+4607.
return 0.0018*(teff-this_teff)+2.5
def popmass(self, feh, lage):
"""
NAME:
calc_popmass
PURPOSE:
calculate the mass represented by each RC star
INPUT:
feh - metallicity
lage - log10 age
OUTPUT:
stellar-pop mass for each RC star
HISTORY:
2014-02-28 - Written in this form - Bovy (IAS)
"""
if lage < numpy.log10(0.8):
return numpy.nan
z = isodist.FEH2Z(feh, zsolar=zsolar())
zindx = numpy.argmin(numpy.fabs(z - self._zs))
aindx = numpy.argmin((numpy.fabs(lage - self._coarselages)))
return self._coarsemass[zindx, aindx] / self._omega[zindx, aindx]
def avgmass(self, feh, lage):
"""
NAME:
calc_avgmass
PURPOSE:
calculate the average mass
INPUT:
feh - metallicity
lage - log10 age
OUTPUT:
average mass in solar masses
HISTORY:
2014-02-28 - Written in this form - Bovy (IAS)
"""
if lage < numpy.log10(0.8):
return numpy.nan
z = isodist.FEH2Z(feh, zsolar=zsolar())
zindx = numpy.argmin(numpy.fabs(z - self._zs))
aindx = numpy.argmin((numpy.fabs(lage - self._finelages)))
return self._finemass[zindx, aindx]
def popmass(self,feh,lage):
"""
NAME:
calc_popmass
PURPOSE:
calculate the mass represented by each RC star
INPUT:
feh - metallicity
lage - log10 age
OUTPUT:
stellar-pop mass for each RC star
HISTORY:
2014-02-28 - Written in this form - Bovy (IAS)
"""
if lage < numpy.log10(0.8):
return numpy.nan
z= isodist.FEH2Z(feh,zsolar=zsolar())
zindx= numpy.argmin(numpy.fabs(z-self._zs))
aindx= numpy.argmin((numpy.fabs(lage-self._coarselages)))
return self._coarsemass[zindx,aindx]/self._omega[zindx,aindx]
def avgmass(self,feh,lage):
"""
NAME:
calc_avgmass
PURPOSE:
calculate the average mass
INPUT:
feh - metallicity
lage - log10 age
OUTPUT:
average mass in solar masses
HISTORY:
2014-02-28 - Written in this form - Bovy (IAS)
"""
if lage < numpy.log10(0.8):
return numpy.nan
z= isodist.FEH2Z(feh,zsolar=zsolar())
zindx= numpy.argmin(numpy.fabs(z-self._zs))
aindx= numpy.argmin((numpy.fabs(lage-self._finelages)))
return self._finemass[zindx,aindx]
def plot_popmass(self):
"""
NAME:
plot_popmass
PURPOSE:
plot the stellar-population mass for each RC star
INPUT:
bovy_plot.bovy_plot **kwargs
OUTPUT:
bovy_plot.bovy_plot output
HISTORY:
2014-02-28 - Written in this form - Bovy (IAS)
"""
if not _BOVY_PLOT_LOADED:
raise ImportError("galpy.util.bovy_plot could not be imported")
fehs = numpy.linspace(-1., 0.5, 101)
lages = self._coarselages
plotthis = numpy.empty((len(fehs), len(lages)))
for ii in range(len(fehs)):
for jj in range(len(lages)):
plotthis[ii, jj] = self.popmass(fehs[ii], lages[jj])
fig = pyplot.gcf()
left, bottom, width, height = 0.1, 0.1, 0.8, 0.6
axBottom = pyplot.axes([left, bottom, width, height])
fig.sca(axBottom)
xlimits = [fehs[0], fehs[-1]]
dlages = (lages[1] - lages[0])
ylimits = [lages[0] - dlages, lages[-1] + dlages]
vmin, vmax = 0., 50000.
vmin2, vmax2 = 0., 25000.
zlabel = r'$\mathrm{Stellar\ population\ mass\ per\ RC\ star}\,(M_\odot)$'
xlabel = r'$[\mathrm{Fe/H}]\,(\mathrm{dex})$'
out = bovy_plot.bovy_dens2d(plotthis.T,
origin='lower',
cmap='jet',
xrange=xlimits,
yrange=ylimits,
vmin=vmin,
vmax=vmax,
interpolation='nearest',
colorbar=True,
shrink=.9,
zlabel=zlabel,
overplot=True)
extent = xlimits + ylimits
pyplot.axis(extent)
bovy_plot._add_axislabels(
xlabel, r'$\log_{10}\,\mathrm{Age} / 1\,\mathrm{Gyr}$')
bovy_plot._add_ticks()
left, bottom, width, height = 0.1, 0.68, 0.64, 0.2
axTop = pyplot.axes([left, bottom, width, height])
fig.sca(axTop)
#Plot the average over SFH
lages = numpy.linspace(-1., 1., 16)
mtrend = numpy.zeros(len(self._zs))
exppage = 10.**self._coarselages * numpy.exp(
(10.**(self._coarselages + 2.)) / 800.) #e.g., Binney (2010)
exexppage = 10.**self._coarselages * numpy.exp(
(10.**(self._coarselages + 2.)) / 100.) #e.g., Binney (2010)
page = 10.**self._coarselages
plotthis = self._coarsemass[:-1, :] / self._omega[:-1, :]
mtrend = 1. / (numpy.sum(page * 1. / plotthis, axis=1) /
numpy.sum(page))
expmtrend = 1. / (numpy.sum(exppage * 1. / plotthis, axis=1) /
numpy.sum(exppage))
exexpmtrend = 1. / (numpy.sum(exexppage * 1. / plotthis, axis=1) /
numpy.sum(exexppage))
fehs = isodist.Z2FEH(self._zs[:-1], zsolar=zsolar())
pyplot.plot(fehs, mtrend, 'k-')
pyplot.plot(fehs, expmtrend, 'k--')
pyplot.plot(fehs, exexpmtrend, 'k-.')
pyplot.ylim(vmin2, vmax2)
pyplot.xlim(xlimits[0], xlimits[1])
nullfmt = NullFormatter() # no labels
thisax = pyplot.gca()
thisax.xaxis.set_major_formatter(nullfmt)
bovy_plot._add_ticks()
return out
def plot_popmass(self):
"""
NAME:
plot_popmass
PURPOSE:
plot the stellar-population mass for each RC star
INPUT:
bovy_plot.bovy_plot **kwargs
OUTPUT:
bovy_plot.bovy_plot output
HISTORY:
2014-02-28 - Written in this form - Bovy (IAS)
"""
if not _BOVY_PLOT_LOADED:
raise ImportError("galpy.util.bovy_plot could not be imported")
fehs= numpy.linspace(-1.,0.5,101)
lages= self._coarselages
plotthis= numpy.empty((len(fehs),len(lages)))
for ii in range(len(fehs)):
for jj in range(len(lages)):
plotthis[ii,jj]= self.popmass(fehs[ii],lages[jj])
fig= pyplot.gcf()
left, bottom, width, height= 0.1, 0.1, 0.8, 0.6
axBottom= pyplot.axes([left,bottom,width,height])
fig.sca(axBottom)
xlimits= [fehs[0],fehs[-1]]
dlages= (lages[1]-lages[0])
ylimits= [lages[0]-dlages,lages[-1]+dlages]
vmin, vmax= 0.,50000.
vmin2, vmax2= 0.,25000.
zlabel= r'$\mathrm{Stellar\ population\ mass\ per\ RC\ star}\,(M_\odot)$'
xlabel= r'$[\mathrm{Fe/H}]\,(\mathrm{dex})$'
out= bovy_plot.bovy_dens2d(plotthis.T,origin='lower',cmap='jet',
xrange=xlimits,
yrange=ylimits,
vmin=vmin,vmax=vmax,
interpolation='nearest',
colorbar=True,
shrink=.9,
zlabel=zlabel,
overplot=True)
extent= xlimits+ylimits
pyplot.axis(extent)
bovy_plot._add_axislabels(xlabel,
r'$\log_{10}\,\mathrm{Age} / 1\,\mathrm{Gyr}$')
bovy_plot._add_ticks()
left, bottom, width, height= 0.1, 0.68, 0.64, 0.2
axTop= pyplot.axes([left,bottom,width,height])
fig.sca(axTop)
#Plot the average over SFH
lages= numpy.linspace(-1.,1.,16)
mtrend= numpy.zeros(len(self._zs))
exppage= 10.**self._coarselages*numpy.exp((10.**(self._coarselages+2.))/800.) #e.g., Binney (2010)
exexppage= 10.**self._coarselages*numpy.exp((10.**(self._coarselages+2.))/100.) #e.g., Binney (2010)
page= 10.**self._coarselages
plotthis= self._coarsemass[:-1,:]/self._omega[:-1,:]
mtrend= 1./(numpy.sum(page*1./plotthis,axis=1)/numpy.sum(page))
expmtrend= 1./(numpy.sum(exppage*1./plotthis,axis=1)/numpy.sum(exppage))
exexpmtrend= 1./(numpy.sum(exexppage*1./plotthis,axis=1)/numpy.sum(exexppage))
fehs= isodist.Z2FEH(self._zs[:-1],zsolar=zsolar())
pyplot.plot(fehs,mtrend,'k-')
pyplot.plot(fehs,expmtrend,'k--')
pyplot.plot(fehs,exexpmtrend,'k-.')
pyplot.ylim(vmin2,vmax2)
pyplot.xlim(xlimits[0],xlimits[1])
nullfmt = NullFormatter() # no labels
thisax= pyplot.gca()
thisax.xaxis.set_major_formatter(nullfmt)
bovy_plot._add_ticks()
return out