A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map

作者:Petersen W P*; Callegari S; Lake G R; Tkachenko N; Weissmann J D; Zollikofer Ch P E
来源:PLos One, 2017, 12(1): e0167514.
DOI:10.1371/journal.pone.0167514

摘要

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.

  • 出版日期2017-1-13