A new model of evolution is presented for finite size systems. Conditions u
nder which a minority species can emerge, spread and stabilize to a macrosc
opic size are studied. It is found that space organization is instrumental
in addition to a qualitative advantage. Some peculiar topologies ensure the
overcome of the initial majority species. However the probability of such
local clusters is very small and depend strongly on the system size. A prob
abilistic phase diagram is obtained for small sizes. It reduces to a trivia
l situation in the thermodynamic limit, thus indicating the importance of d
ealing with finite systems in evolution problems. Results are discussed wit
h respect to both Darwin and punctuated equilibria theories.