Is Power Law Scaling a quantitative description of Darwin Theory of Evolution?

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In the present work, via computational simulation we study the statistical distribution of people versus number of steps acquired by them in a learning process, considering Darwin classical theory of evolution, i.e. competition, learning and survival for the fittest. We consider that learning ability is normally distributed. We found that the number of people versus step acquired by them in a learning process is given through a power law (N(n)=cn-alpha). As competition, learning and survival for the fittest is also at the heart of all economical and social systems, we consider that in some cases, power law scaling is a quantitative description of Darwin theory of evolution. This gives an alternative thinking in holistic properties of complex systems. PACS 05.40.+j, 02.50.-r, 89.20.-a, 87.10.+e