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2014
- handle: 10670/1.ucpg81
- isbn: 978-5-7057-4223-3
- hprints-01863038
http://hal.archives-ouvertes.fr/licences/publicDomain/ , info:eu-repo/semantics/OpenAccess
Mots-clés
social evolution biological evolution mathematical model Biodiversity population growth positive feedback hyperbolic growthCiter ce document
Leonid Grinin et al., « Mathematical Modeling of Biological and Social Evolutionary Macrotrends », HAL-SHS : histoire, philosophie et sociologie des sciences et des techniques, ID : 10670/1.ucpg81
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Résumé
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.