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

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

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...

Full description

Bibliographic Details
Main Authors: W P Petersen, S Callegari, G R Lake, N Tkachenko, J D Weissmann, Ch P E Zollikofer
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2017-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC5235379?pdf=render
id doaj-b0e9f015ce634c06a22e6970f77bcc02
record_format Article
spelling doaj-b0e9f015ce634c06a22e6970f77bcc022020-11-25T00:02:09ZengPublic Library of Science (PLoS)PLoS ONE1932-62032017-01-01121e016751410.1371/journal.pone.0167514A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map.W P PetersenS CallegariG R LakeN TkachenkoJ D WeissmannCh P E ZollikoferWe 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.http://europepmc.org/articles/PMC5235379?pdf=render
collection DOAJ
language English
format Article
sources DOAJ
author W P Petersen
S Callegari
G R Lake
N Tkachenko
J D Weissmann
Ch P E Zollikofer
spellingShingle W P Petersen
S Callegari
G R Lake
N Tkachenko
J D Weissmann
Ch P E Zollikofer
A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map.
PLoS ONE
author_facet W P Petersen
S Callegari
G R Lake
N Tkachenko
J D Weissmann
Ch P E Zollikofer
author_sort W P Petersen
title A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map.
title_short A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map.
title_full A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map.
title_fullStr A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map.
title_full_unstemmed A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map.
title_sort stable finite-difference scheme for population growth and diffusion on a map.
publisher Public Library of Science (PLoS)
series PLoS ONE
issn 1932-6203
publishDate 2017-01-01
description 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.
url http://europepmc.org/articles/PMC5235379?pdf=render
work_keys_str_mv AT wppetersen astablefinitedifferenceschemeforpopulationgrowthanddiffusiononamap
AT scallegari astablefinitedifferenceschemeforpopulationgrowthanddiffusiononamap
AT grlake astablefinitedifferenceschemeforpopulationgrowthanddiffusiononamap
AT ntkachenko astablefinitedifferenceschemeforpopulationgrowthanddiffusiononamap
AT jdweissmann astablefinitedifferenceschemeforpopulationgrowthanddiffusiononamap
AT chpezollikofer astablefinitedifferenceschemeforpopulationgrowthanddiffusiononamap
AT wppetersen stablefinitedifferenceschemeforpopulationgrowthanddiffusiononamap
AT scallegari stablefinitedifferenceschemeforpopulationgrowthanddiffusiononamap
AT grlake stablefinitedifferenceschemeforpopulationgrowthanddiffusiononamap
AT ntkachenko stablefinitedifferenceschemeforpopulationgrowthanddiffusiononamap
AT jdweissmann stablefinitedifferenceschemeforpopulationgrowthanddiffusiononamap
AT chpezollikofer stablefinitedifferenceschemeforpopulationgrowthanddiffusiononamap
_version_ 1725439140912168960

Similar Items