Pond fractals in a tidal flat
Studies over the past decade have reported power-law distributions for the areas of terrestrial lakes and Arctic melt ponds, as well as fractal relationships between their areas and coastlines. Here we report similar fractal structure of ponds in a tidal flat, thereby extending the spatial and tempo...
Published in: | Physical Review E |
---|---|
Main Authors: | , , |
Other Authors: | , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
American Physical Society
2015
|
Subjects: | |
Online Access: | http://hdl.handle.net/1721.1/100021 |
id |
ftmit:oai:dspace.mit.edu:1721.1/100021 |
---|---|
record_format |
openpolar |
spelling |
ftmit:oai:dspace.mit.edu:1721.1/100021 2023-06-11T04:09:31+02:00 Pond fractals in a tidal flat Cael, B. B. Bisson, Kelsey Lambert, Bennett Spencer Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Woods Hole Oceanographic Institution Cael, B. B. Lambert, Bennett Spencer 2015-11-19T23:00:04Z application/pdf http://hdl.handle.net/1721.1/100021 en eng American Physical Society http://dx.doi.org/10.1103/PhysRevE.92.052128 Physical Review E 1539-3755 1550-2376 http://hdl.handle.net/1721.1/100021 Cael, B. B., Bennett Lambert, and Kelsey Bisson. “Pond Fractals in a Tidal Flat.” Physical Review E 92, no. 5 (November 19, 2015). orcid:0000-0002-4831-3255 orcid:0000-0003-1317-5718 Creative Commons Attribution http://creativecommons.org/licenses/by/3.0 authors American Physical Society Article http://purl.org/eprint/type/JournalArticle 2015 ftmit https://doi.org/10.1103/PhysRevE.92.052128 2023-05-29T08:45:02Z Studies over the past decade have reported power-law distributions for the areas of terrestrial lakes and Arctic melt ponds, as well as fractal relationships between their areas and coastlines. Here we report similar fractal structure of ponds in a tidal flat, thereby extending the spatial and temporal scales on which such phenomena have been observed in geophysical systems. Images taken during low tide of a tidal flat in Damariscotta, Maine, reveal a well-resolved power-law distribution of pond sizes over three orders of magnitude with a consistent fractal area-perimeter relationship. The data are consistent with the predictions of percolation theory for unscreened perimeters and scale-free cluster size distributions and are robust to alterations of the image processing procedure. The small spatial and temporal scales of these data suggest this easily observable system may serve as a useful model for investigating the evolution of pond geometries, while emphasizing the generality of fractal behavior in geophysical surfaces. National Science Foundation (U.S.). Graduate Research Fellowship (Grant 2388357) Gordon and Betty Moore Foundation National Science Foundation (U.S.) (Award OCE-1315201) Article in Journal/Newspaper Arctic DSpace@MIT (Massachusetts Institute of Technology) Arctic Physical Review E 92 5 |
institution |
Open Polar |
collection |
DSpace@MIT (Massachusetts Institute of Technology) |
op_collection_id |
ftmit |
language |
English |
description |
Studies over the past decade have reported power-law distributions for the areas of terrestrial lakes and Arctic melt ponds, as well as fractal relationships between their areas and coastlines. Here we report similar fractal structure of ponds in a tidal flat, thereby extending the spatial and temporal scales on which such phenomena have been observed in geophysical systems. Images taken during low tide of a tidal flat in Damariscotta, Maine, reveal a well-resolved power-law distribution of pond sizes over three orders of magnitude with a consistent fractal area-perimeter relationship. The data are consistent with the predictions of percolation theory for unscreened perimeters and scale-free cluster size distributions and are robust to alterations of the image processing procedure. The small spatial and temporal scales of these data suggest this easily observable system may serve as a useful model for investigating the evolution of pond geometries, while emphasizing the generality of fractal behavior in geophysical surfaces. National Science Foundation (U.S.). Graduate Research Fellowship (Grant 2388357) Gordon and Betty Moore Foundation National Science Foundation (U.S.) (Award OCE-1315201) |
author2 |
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Woods Hole Oceanographic Institution Cael, B. B. Lambert, Bennett Spencer |
format |
Article in Journal/Newspaper |
author |
Cael, B. B. Bisson, Kelsey Lambert, Bennett Spencer |
spellingShingle |
Cael, B. B. Bisson, Kelsey Lambert, Bennett Spencer Pond fractals in a tidal flat |
author_facet |
Cael, B. B. Bisson, Kelsey Lambert, Bennett Spencer |
author_sort |
Cael, B. B. |
title |
Pond fractals in a tidal flat |
title_short |
Pond fractals in a tidal flat |
title_full |
Pond fractals in a tidal flat |
title_fullStr |
Pond fractals in a tidal flat |
title_full_unstemmed |
Pond fractals in a tidal flat |
title_sort |
pond fractals in a tidal flat |
publisher |
American Physical Society |
publishDate |
2015 |
url |
http://hdl.handle.net/1721.1/100021 |
geographic |
Arctic |
geographic_facet |
Arctic |
genre |
Arctic |
genre_facet |
Arctic |
op_source |
American Physical Society |
op_relation |
http://dx.doi.org/10.1103/PhysRevE.92.052128 Physical Review E 1539-3755 1550-2376 http://hdl.handle.net/1721.1/100021 Cael, B. B., Bennett Lambert, and Kelsey Bisson. “Pond Fractals in a Tidal Flat.” Physical Review E 92, no. 5 (November 19, 2015). orcid:0000-0002-4831-3255 orcid:0000-0003-1317-5718 |
op_rights |
Creative Commons Attribution http://creativecommons.org/licenses/by/3.0 authors |
op_doi |
https://doi.org/10.1103/PhysRevE.92.052128 |
container_title |
Physical Review E |
container_volume |
92 |
container_issue |
5 |
_version_ |
1768383451470233600 |