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A mathematical model for Neanderthal extinction

J C Flores1

  • 1Departamento de Física, Universidad de Tarapacá, Casilla, Arica, Chile.

Journal of Theoretical Biology
|June 19, 1998
PubMed
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Mathematical modeling suggests Neanderthal extinction was unavoidable due to competition with Early Modern Humans. Even with migration, the model predicts Neanderthal disappearance from Europe, highlighting competitive exclusion principles.

Area of Science:

  • Paleoanthropology
  • Mathematical Biology
  • Evolutionary Dynamics

Background:

  • Neanderthals and Early Modern Humans coexisted in Europe, occupying the same ecological niche.
  • Understanding the dynamics of their interaction is key to explaining Neanderthal extinction.

Purpose of the Study:

  • To model Neanderthal extinction using a mathematical homogeneous competition model.
  • To analyze the impact of inter-species similarity and migration on extinction dynamics.

Main Methods:

  • Developed a simple mathematical homogeneous model of competition between two species.
  • Incorporated paleontological data to estimate species similarity parameters.
  • Extended the model to include migration (diffusion) and analyzed traveling wave solutions.

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Main Results:

  • The parameter of similarity between Neanderthals and Early Modern Humans was estimated between 0.992 and 0.997.
  • Numerical analysis confirmed that Neanderthal extinction appears unavoidable, even with migration.
  • Wave-front velocity was estimated and confirmed through simulations.

Conclusions:

  • Mathematical modeling supports the inevitability of Neanderthal extinction due to intense competition.
  • The study provides a quantitative framework for understanding competitive exclusion in paleoanthropological contexts.
  • The findings align with Gause's principle of competitive exclusion.