A stochastic model for the polygonal tundra based on Poisson–Voronoi diagrams

Subgrid processes occur in various ecosystems and landscapes but, because of their small scale, they are not represented or poorly parameterized in climate models. These local heterogeneities are often important or even fundamental for energy and carbon balances. This is especially true for northern...

Full description

Bibliographic Details
Main Authors: F. Cresto Aleina, V. Brovkin, S. Muster, J. Boike, L. Kutzbach, T. Sachs, S. Zuyev
Format: Article
Language:English
Published: Copernicus Publications 2013-07-01
Series:Earth System Dynamics
Online Access:http://www.earth-syst-dynam.net/4/187/2013/esd-4-187-2013.pdf
_version_ 1819264318869340160
author F. Cresto Aleina
V. Brovkin
S. Muster
J. Boike
L. Kutzbach
T. Sachs
S. Zuyev
author_facet F. Cresto Aleina
V. Brovkin
S. Muster
J. Boike
L. Kutzbach
T. Sachs
S. Zuyev
author_sort F. Cresto Aleina
collection DOAJ
description Subgrid processes occur in various ecosystems and landscapes but, because of their small scale, they are not represented or poorly parameterized in climate models. These local heterogeneities are often important or even fundamental for energy and carbon balances. This is especially true for northern peatlands and in particular for the polygonal tundra, where methane emissions are strongly influenced by spatial soil heterogeneities. We present a stochastic model for the surface topography of polygonal tundra using Poisson–Voronoi diagrams and we compare the results with available recent field studies. We analyze seasonal dynamics of water table variations and the landscape response under different scenarios of precipitation income. We upscale methane fluxes by using a simple idealized model for methane emission. Hydraulic interconnectivities and large-scale drainage may also be investigated through percolation properties and thresholds in the Voronoi graph. The model captures the main statistical characteristics of the landscape topography, such as polygon area and surface properties as well as the water balance. This approach enables us to statistically relate large-scale properties of the system to the main small-scale processes within the single polygons.
first_indexed 2024-12-23T20:27:35Z
format Article
id doaj.art-972eecb429254773b7065dd04b9cf835
institution Directory Open Access Journal
issn 2190-4979
2190-4987
language English
last_indexed 2024-12-23T20:27:35Z
publishDate 2013-07-01
publisher Copernicus Publications
record_format Article
series Earth System Dynamics
spelling doaj.art-972eecb429254773b7065dd04b9cf8352022-12-21T17:32:20ZengCopernicus PublicationsEarth System Dynamics2190-49792190-49872013-07-014218719810.5194/esd-4-187-2013A stochastic model for the polygonal tundra based on Poisson–Voronoi diagramsF. Cresto Aleina0V. Brovkin1S. Muster2J. Boike3L. Kutzbach4T. Sachs5S. Zuyev6International Max Planck Research School for Earth System Modelling, Hamburg, GermanyMax Planck Institute for Meteorology, Hamburg, GermanyAlfred Wegener Institute for Polar and Marine Research, Research Unit Potsdam, Potsdam, GermanyAlfred Wegener Institute for Polar and Marine Research, Research Unit Potsdam, Potsdam, GermanyInstitute of Soil Science, Klima-Kampus, University of Hamburg, Hamburg, GermanyDeutsches GeoForschungsZentrum, Helmholtz-Zentrum, Potsdam, GermanyDepartment of Mathematical Sciences, Chalmers University of Technology, Gothenburg, SwedenSubgrid processes occur in various ecosystems and landscapes but, because of their small scale, they are not represented or poorly parameterized in climate models. These local heterogeneities are often important or even fundamental for energy and carbon balances. This is especially true for northern peatlands and in particular for the polygonal tundra, where methane emissions are strongly influenced by spatial soil heterogeneities. We present a stochastic model for the surface topography of polygonal tundra using Poisson–Voronoi diagrams and we compare the results with available recent field studies. We analyze seasonal dynamics of water table variations and the landscape response under different scenarios of precipitation income. We upscale methane fluxes by using a simple idealized model for methane emission. Hydraulic interconnectivities and large-scale drainage may also be investigated through percolation properties and thresholds in the Voronoi graph. The model captures the main statistical characteristics of the landscape topography, such as polygon area and surface properties as well as the water balance. This approach enables us to statistically relate large-scale properties of the system to the main small-scale processes within the single polygons.http://www.earth-syst-dynam.net/4/187/2013/esd-4-187-2013.pdf
spellingShingle F. Cresto Aleina
V. Brovkin
S. Muster
J. Boike
L. Kutzbach
T. Sachs
S. Zuyev
A stochastic model for the polygonal tundra based on Poisson–Voronoi diagrams
Earth System Dynamics
title A stochastic model for the polygonal tundra based on Poisson–Voronoi diagrams
title_full A stochastic model for the polygonal tundra based on Poisson–Voronoi diagrams
title_fullStr A stochastic model for the polygonal tundra based on Poisson–Voronoi diagrams
title_full_unstemmed A stochastic model for the polygonal tundra based on Poisson–Voronoi diagrams
title_short A stochastic model for the polygonal tundra based on Poisson–Voronoi diagrams
title_sort stochastic model for the polygonal tundra based on poisson voronoi diagrams
url http://www.earth-syst-dynam.net/4/187/2013/esd-4-187-2013.pdf
work_keys_str_mv AT fcrestoaleina astochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams
AT vbrovkin astochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams
AT smuster astochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams
AT jboike astochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams
AT lkutzbach astochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams
AT tsachs astochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams
AT szuyev astochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams
AT fcrestoaleina stochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams
AT vbrovkin stochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams
AT smuster stochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams
AT jboike stochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams
AT lkutzbach stochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams
AT tsachs stochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams
AT szuyev stochasticmodelforthepolygonaltundrabasedonpoissonvoronoidiagrams