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Mathematical Modeling of Biological and Social Evolutionary Macrotrends
[collection article]
Abstract 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 mathematic... view more
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.... view less
Classification
General Sociology, Basic Research, General Concepts and History of Sociology, Sociological Theories
Methods and Techniques of Data Collection and Data Analysis, Statistical Methods, Computer Methods
Free Keywords
social evolution; biological evolution; mathematical model; biodiversity; population growth; positive feedback; hyperbolic growth
Collection Title
History & Mathematics: Trends and Cycles; Yearbook
Editor
Grinin, Leonid; Korotayev, Andrey
Document language
English
Publication Year
2014
Publisher
Uchitel Publishing House
City
Volgograd
Page/Pages
p. 9-48
ISBN
978-5-7057-4223-3
Status
Published Version; peer reviewed