A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 28085882.
- Also identified by DOI 10.1371/journal.pone.0167514 and PMC identifier 5235379.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
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.
Medical subject headings
- Algorithms
- Emigration and Immigration
- Finite Element Analysis
- Numerical Analysis, Computer-Assisted
- Population Growth