A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map
dc.contributor.author
Petersen, Wesley P.
dc.contributor.author
Callegari, Simone
dc.contributor.author
Lake, George R.
dc.contributor.author
Tkachenko, Natalie
dc.contributor.author
Weissmann, John D.
dc.contributor.author
Zollikofer, Christoph P.E.
dc.date.accessioned
2018-11-15T09:08:26Z
dc.date.available
2018-01-22T14:51:02Z
dc.date.available
2017-06-12T19:38:24Z
dc.date.available
2018-11-15T09:08:26Z
dc.date.issued
2017-01-13
dc.identifier.issn
1932-6203
dc.identifier.other
10.1371/journal.pone.0167514
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/232511
dc.identifier.doi
10.3929/ethz-b-000232511
dc.description.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.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
PLOS
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.subject
Computer simulation
en_US
dc.subject
Diffusion
en_US
dc.subject
Human
en_US
dc.subject
Map
en_US
dc.subject
Paleoclimate
en_US
dc.subject
Population dispersal
en_US
dc.subject
Population growth
en_US
dc.subject
Productivity
en_US
dc.subject
Upper Pleistocene
en_US
dc.subject
Western Hemisphere
en_US
dc.title
A Stable Finite-Difference Scheme for Population Growth and Diffusion on a Map
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
ethz.journal.title
PLoS ONE
ethz.journal.volume
12
en_US
ethz.journal.issue
1
en_US
ethz.journal.abbreviated
PLoS ONE
ethz.pages.start
e0167514
en_US
ethz.size
19 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
San Francisco, CA
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03435 - Schwab, Christoph / Schwab, Christoph
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03435 - Schwab, Christoph / Schwab, Christoph
en_US
ethz.date.deposited
2017-06-12T19:38:38Z
ethz.source
FORM
ethz.source
ECIT
ethz.identifier.importid
imp5936553d3fad936891
ethz.ecitpid
pub:191146
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2018-01-22T15:05:52Z
ethz.rosetta.lastUpdated
2024-02-02T06:36:46Z
ethz.rosetta.versionExported
true
dc.identifier.olduri
http://hdl.handle.net/20.500.11850/128241
dc.identifier.olduri
http://hdl.handle.net/20.500.11850/232480
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