  AMS instrument aboard the International Space Station is a high precision
instrument capable of collecting large statistics on cosmic ray intensities and
as such has started making highly significant contributions to Astroparticle
Physics. In order to fully benefit from these observations, the positron
fraction in cosmic rays in their recent publication and other results that will
follow, the models to interpret the results have to be equally good. We enlarge
on this remark by citing examples from the currently popular model and one of
our own fitting the observed spectra of positrons, extending it to higher
energies. We also show what one might expect to observe from a mono-energetic
source, such as the annihilation of dark matter.
