Mathematical Modeling of Biological and Social Evolutionary Macrotrends

Авторы: Grinin Leonid E., Markov Alexander V., Korotayev Andrey V.
Сборник: History & Mathematics
Серия: Trends and Cycles. Yearbook
Год издания: 2014
Место издания: Учитель М
Первая страница: 9
Последняя страница: 48
Аннотация: 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. 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. We discuss how such positive feedback mechanisms can be modelled mathematically.
Добавил в систему: Гринин Леонид Ефимович

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