A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map
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Date
2017-01-13
Publication Type
Journal Article
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Abstract
We describe a general Godunov-type splitting for numerical simulations of the Fisher–Kolmogorov–Petrovski–Piskunov growth and diffusion equation on a world map with Neumann boundary conditions. The procedure is semi-implicit, hence quite stable. Our principal application for this solver is modeling human population dispersal over geographical maps with changing paleovegetation and paleoclimate in the late Pleistocene. As a proxy for carrying capacity we use Net Primary Productivity (NPP) to predict times for human arrival in the Americas.
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published
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12 (1)
Pages / Article No.
Publisher
PLOS
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Software
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Subject
Computer simulation; Diffusion; Human; Map; Paleoclimate; Population dispersal; Population growth; Productivity; Upper Pleistocene; Western Hemisphere
Organisational unit
03435 - Schwab, Christoph / Schwab, Christoph