  A quantitative analytical model based on the semblance method between the
modulation factor with solar phenomena is proposed. Different Local
Interstellar Spectra (LIS) have been computed to introduce into a transport
equation solution which in turn have been introduced into the atmospheric yield
function (Caballero-Lopez & Moraal 2012), that allows to compute a Cosmic Rays
(CR) Modulation Factor. The results were as expected. &here are correlation
between modulation factor and sunspots, and anticorrelation between modulation
factor and mean magnetic field. A transport equation's solution is necessary to
compute atmospheric yield function, in this case the used transport equation's
solutions were convection-diffusion and force field. Both solutions offer
similar models, yet the force field solution shows a higher correlation value
in the semblance than the convection-diffusion solution. Several LIS were also
computed because they are introduced into the transport equation solutions. The
used LIS were Lagner, Potgieter and Webber LIS in 2003, Burguer and Potgieter
LIS in 2000, Garcia-Munoz, Mason and Simpson LIS in 1975 and Ghelfi, Barao,
Derome and Maurin LIS in 2017. Those LIS were used because they have a model
for different nuclear composition: Helium and Hydrogen. The LIS with more
changes when is introduced into the semblance is Garcia-Munoz, Mason and
Simpson in 1975.
