Size distributions of Arctic waterbodies reveal consistent relations in their statistical moments in space and time
International audience Arctic lowlands are characterized by large numbers of small waterbodies, which are known to affect surface energy budgets and the global carbon cycle. Statistical analysis of their size distributions has been hindered by the shortage of observations at sufficiently high spatia...
Published in: | Frontiers in Earth Science |
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Online Access: | https://insu.hal.science/insu-03721888 https://insu.hal.science/insu-03721888/document https://insu.hal.science/insu-03721888/file/feart-07-00005.pdf https://doi.org/10.3389/feart.2019.00005 |
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ftuniparissaclay:oai:HAL:insu-03721888v1 2024-06-16T07:37:21+00:00 Size distributions of Arctic waterbodies reveal consistent relations in their statistical moments in space and time Muster, Sina Riley, William J. Roth, Kurt Langer, Moritz Cresto Aleina, Fabio Koven, Charles D. Lange, Stephan Bartsch, Annett Grosse, Guido Laboratoire des Sciences du Climat et de l'Environnement Gif-sur-Yvette (LSCE) Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Direction de Recherche Fondamentale (CEA) (DRF (CEA)) Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA) 2019 https://insu.hal.science/insu-03721888 https://insu.hal.science/insu-03721888/document https://insu.hal.science/insu-03721888/file/feart-07-00005.pdf https://doi.org/10.3389/feart.2019.00005 en eng HAL CCSD Frontiers Media info:eu-repo/semantics/altIdentifier/doi/10.3389/feart.2019.00005 insu-03721888 https://insu.hal.science/insu-03721888 https://insu.hal.science/insu-03721888/document https://insu.hal.science/insu-03721888/file/feart-07-00005.pdf BIBCODE: 2019FrEaS.7.5M doi:10.3389/feart.2019.00005 http://creativecommons.org/licenses/by/ info:eu-repo/semantics/OpenAccess ISSN: 2296-6463 Frontiers in Earth Science https://insu.hal.science/insu-03721888 Frontiers in Earth Science, 2019, 7, ⟨10.3389/feart.2019.00005⟩ Permafrost hydrology Waterbodies size distribution Thermokarst statistical moments Ponds Lakes [SDU]Sciences of the Universe [physics] [SDU.STU]Sciences of the Universe [physics]/Earth Sciences info:eu-repo/semantics/article Journal articles 2019 ftuniparissaclay https://doi.org/10.3389/feart.2019.00005 2024-05-17T00:03:22Z International audience Arctic lowlands are characterized by large numbers of small waterbodies, which are known to affect surface energy budgets and the global carbon cycle. Statistical analysis of their size distributions has been hindered by the shortage of observations at sufficiently high spatial resolutions. This situation has now changed with the high-resolution (< 5m) circum-Arctic Permafrost Region Pond and Lake (PeRL) database recently becoming available. We have used this database to make the first consistent, high-resolution estimation of Arctic waterbody size distributions, with surface areas ranging from 0.0001 km² (100 m²) to 1 km². We found that the size distributions varied greatly across the thirty study regions investigated and that there was no single universal size distribution function (including power-law distribution functions) appropriate across all of the study regions. We did, however, find close relationships between the statistical moments (mean, variance, and skewness) of the waterbody size distributions from different study regions. Specifically, we found that the spatial variance increased linearly with mean waterbody size (R² = 0.97, p <2.2e-16) and that the skewness decreased approximately hyperbolically. We have demonstrated that these relationships (1) hold across the thirty Arctic study regions covering a variety of (bio)climatic and permafrost zones, (2) hold over time in two of these study regions for which multi-decadal satellite imagery is available, and (3) can be reproduced by simulating rising water levels in a high-resolution digital elevation model. The consistent spatial and temporal relationships between the statistical moments of the waterbody size distributions underscore the dominance of topographic controls in lowland permafrost areas. These results provide motivation for further analyses of the factors involved in waterbody development and spatial distribution and for investigations into the possibility of using statistical moments to predict future ... Article in Journal/Newspaper Arctic permafrost Thermokarst Archives ouvertes de Paris-Saclay Arctic Frontiers in Earth Science 7 |
institution |
Open Polar |
collection |
Archives ouvertes de Paris-Saclay |
op_collection_id |
ftuniparissaclay |
language |
English |
topic |
Permafrost hydrology Waterbodies size distribution Thermokarst statistical moments Ponds Lakes [SDU]Sciences of the Universe [physics] [SDU.STU]Sciences of the Universe [physics]/Earth Sciences |
spellingShingle |
Permafrost hydrology Waterbodies size distribution Thermokarst statistical moments Ponds Lakes [SDU]Sciences of the Universe [physics] [SDU.STU]Sciences of the Universe [physics]/Earth Sciences Muster, Sina Riley, William J. Roth, Kurt Langer, Moritz Cresto Aleina, Fabio Koven, Charles D. Lange, Stephan Bartsch, Annett Grosse, Guido Size distributions of Arctic waterbodies reveal consistent relations in their statistical moments in space and time |
topic_facet |
Permafrost hydrology Waterbodies size distribution Thermokarst statistical moments Ponds Lakes [SDU]Sciences of the Universe [physics] [SDU.STU]Sciences of the Universe [physics]/Earth Sciences |
description |
International audience Arctic lowlands are characterized by large numbers of small waterbodies, which are known to affect surface energy budgets and the global carbon cycle. Statistical analysis of their size distributions has been hindered by the shortage of observations at sufficiently high spatial resolutions. This situation has now changed with the high-resolution (< 5m) circum-Arctic Permafrost Region Pond and Lake (PeRL) database recently becoming available. We have used this database to make the first consistent, high-resolution estimation of Arctic waterbody size distributions, with surface areas ranging from 0.0001 km² (100 m²) to 1 km². We found that the size distributions varied greatly across the thirty study regions investigated and that there was no single universal size distribution function (including power-law distribution functions) appropriate across all of the study regions. We did, however, find close relationships between the statistical moments (mean, variance, and skewness) of the waterbody size distributions from different study regions. Specifically, we found that the spatial variance increased linearly with mean waterbody size (R² = 0.97, p <2.2e-16) and that the skewness decreased approximately hyperbolically. We have demonstrated that these relationships (1) hold across the thirty Arctic study regions covering a variety of (bio)climatic and permafrost zones, (2) hold over time in two of these study regions for which multi-decadal satellite imagery is available, and (3) can be reproduced by simulating rising water levels in a high-resolution digital elevation model. The consistent spatial and temporal relationships between the statistical moments of the waterbody size distributions underscore the dominance of topographic controls in lowland permafrost areas. These results provide motivation for further analyses of the factors involved in waterbody development and spatial distribution and for investigations into the possibility of using statistical moments to predict future ... |
author2 |
Laboratoire des Sciences du Climat et de l'Environnement Gif-sur-Yvette (LSCE) Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Direction de Recherche Fondamentale (CEA) (DRF (CEA)) Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA) |
format |
Article in Journal/Newspaper |
author |
Muster, Sina Riley, William J. Roth, Kurt Langer, Moritz Cresto Aleina, Fabio Koven, Charles D. Lange, Stephan Bartsch, Annett Grosse, Guido |
author_facet |
Muster, Sina Riley, William J. Roth, Kurt Langer, Moritz Cresto Aleina, Fabio Koven, Charles D. Lange, Stephan Bartsch, Annett Grosse, Guido |
author_sort |
Muster, Sina |
title |
Size distributions of Arctic waterbodies reveal consistent relations in their statistical moments in space and time |
title_short |
Size distributions of Arctic waterbodies reveal consistent relations in their statistical moments in space and time |
title_full |
Size distributions of Arctic waterbodies reveal consistent relations in their statistical moments in space and time |
title_fullStr |
Size distributions of Arctic waterbodies reveal consistent relations in their statistical moments in space and time |
title_full_unstemmed |
Size distributions of Arctic waterbodies reveal consistent relations in their statistical moments in space and time |
title_sort |
size distributions of arctic waterbodies reveal consistent relations in their statistical moments in space and time |
publisher |
HAL CCSD |
publishDate |
2019 |
url |
https://insu.hal.science/insu-03721888 https://insu.hal.science/insu-03721888/document https://insu.hal.science/insu-03721888/file/feart-07-00005.pdf https://doi.org/10.3389/feart.2019.00005 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic permafrost Thermokarst |
genre_facet |
Arctic permafrost Thermokarst |
op_source |
ISSN: 2296-6463 Frontiers in Earth Science https://insu.hal.science/insu-03721888 Frontiers in Earth Science, 2019, 7, ⟨10.3389/feart.2019.00005⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.3389/feart.2019.00005 insu-03721888 https://insu.hal.science/insu-03721888 https://insu.hal.science/insu-03721888/document https://insu.hal.science/insu-03721888/file/feart-07-00005.pdf BIBCODE: 2019FrEaS.7.5M doi:10.3389/feart.2019.00005 |
op_rights |
http://creativecommons.org/licenses/by/ info:eu-repo/semantics/OpenAccess |
op_doi |
https://doi.org/10.3389/feart.2019.00005 |
container_title |
Frontiers in Earth Science |
container_volume |
7 |
_version_ |
1802004036227956736 |