#------------------------------------------------------------------------------------------#
# This function will build the support, or log of the likelihood, based on radiosonde #
# statistics. For each variable: #
# #
# Support is computed as: #
# #
# S = k + n * { - ln(SS) - [s^2+(m-MM)^2]/[2*SS^2]} #
# #
# where: #
# #
# k - arbitrary constant (it will be assigned later, here it will be 0. #
# n - number of observations. #
# m - mean log of non-zero precipitation, based on observations. #
# s - standard deviation of the log of non-zero precipitation, based on observations. #
# NN - number of points used by the model statistics. #
# MM - model mean of log of non-zero precipitation. #
# SS - model standard deviation of log of non-zero precipitation. #
#------------------------------------------------------------------------------------------#
lnlikeradio = function(brams,obs){
lnlike = list()
for (v in 1:obs$radio$nvars){
vari = obs$radio$vars[v]
if (vari == "rvap"){
mfac = 0.001
afac = 0.000
}else{
mfac = 1.000
afac = 0.000
}#end if
#----- For the likelihood, we are assuming normal distribution. ---------------------#
n = obs$radio[[vari]]$dccnt
m = obs$radio[[vari]]$dmean
s = obs$radio[[vari]]$dsdev
NN = brams$radio[[vari]]$dccnt
MM = mfac * brams$radio[[vari]]$dmean + afac
SS = mfac * brams$radio[[vari]]$dsdev + afac
#----- Make the values above 300 hPa NA, since the observations are not good. -------#
if (vari == "rvap"){
sel = obs$radio$plevs < 300.
n [,sel,] = 0
m [,sel,] = NA
s [,sel,] = NA
NN[,sel,] = 0
MM[,sel,] = NA
SS[,sel,] = NA
}
#------------------------------------------------------------------------------------#
# Now find the likelihood for each point independently. #
#------------------------------------------------------------------------------------#
lnlike[[vari]] = n * (- log(SS) - (s^2 + (m - MM)^2)/(2*SS^2))
lnlike[[vari]] = lnlike[[vari]] - max(lnlike[[vari]],na.rm=TRUE)
}#end if
return(lnlike)
}#end function
#------------------------------------------------------------------------------------------#
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