On Similarities between Biological and Social Evolutionary Mechanisms: Mathematical Modeling

Cliodynamics: The Journal of Theoretical. 2013. Vol. 4. No. 2.

Grinin L. E., Korotayev A., Alexander M.

In the first part of this article we survey general similarities and differences between biological and social macroevolution. In the second (and main) part, we consider a concrete mathematical model capable of describing important features of both biological and social macroevolution. In mathematical models of historical macrodynamics, a hyperbolic pattern of world population growth arises from non-linear, second-order positive feedback between demographic growth and technological development. This is more or less identical with the working of the collective learning mechanism. Based on diverse paleontological data and an analogy with macrosociological models, we suggest that the hyperbolic character of biodiversity growth can be similarly accounted for by non-linear, second-order positive feedback between diversity growth and the complexity of community structure, suggesting the presence within the biosphere of a certain analogue of the collective learning mechanism. We discuss how such positive feedback mechanisms can be modelled mathematically.

Keywords: social selection, mathematical modeling, evolution, social, Biological, organisms, biological organisms, species