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Fronts from integrodifference equations and persistence effects on the Neolithic transition
Joaquim Fort1, Joaquim Pérez-Losada, Neus Isern
1Departament de Física, Universitat de Girona, 17071 Girona, Catalonia, Spain.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 13, 2007
Summary
This study refines Neolithic transition models by incorporating parent-child proximity and avoiding diffusion approximations. These enhancements significantly improve model accuracy for understanding population spread during this crucial period.
Area of Science:
- Archaeology
- Population Genetics
- Mathematical Modeling
Background:
- Previous models of the Neolithic transition in Europe relied on diffusion approximations.
- These approximations simplify complex population dynamics, potentially limiting accuracy.
Observation:
- The study addresses two key factors: avoiding diffusion approximations and accounting for the time-order effect where parents remain with offspring.
- A new sequential reaction-diffusion equation was derived to incorporate these factors.
Findings:
- The time-order effect (parents not migrating away from children) is identified as the most significant factor.
- Both refined factors are crucial for accurate Neolithic transition modeling, with corrections reaching up to 70% compared to previous models.
Implications:
- The refined model provides a more accurate understanding of the Neolithic spread across Europe.
- This approach can be applied to other population dynamics and migration studies.
- Improved modeling enhances our comprehension of historical demographic shifts.
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