  I propose a unified framework for a joint analysis of the Drake equation and
the Fermi paradox, which enables a simultaneous, quantitative study of both of
them. The analysis is based on a simplified form of the Drake equation and on a
fairly simple scheme for the colonization of the Milky Way. It appears that for
sufficiently long-lived civilizations, colonization of the Galaxy is the only
reasonable option to gain knowledge about other life forms. This argument
allows one to define a region in the parameter space of the Drake equation
where the Fermi paradox definitely holds (Strong Fermi paradox).
