Articles | Volume 6, issue 5
https://doi.org/10.5194/tc-6-1157-2012
© Author(s) 2012. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/tc-6-1157-2012
© Author(s) 2012. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| Highlight paper
| 
19 Oct 2012
Research article | Highlight paper |
| 19 Oct 2012
Transition in the fractal geometry of Arctic melt ponds
C. Hohenegger
Department of Mathematics, University of Utah, 155 S 1400 E, RM 233, Salt Lake City, UT 84112–0090, USA
B. Alali
Department of Mathematics, University of Utah, 155 S 1400 E, RM 233, Salt Lake City, UT 84112–0090, USA
K. R. Steffen
Department of Mathematics, University of Utah, 155 S 1400 E, RM 233, Salt Lake City, UT 84112–0090, USA
D. K. Perovich
ERDC-CRREL, 72 Lyme Road, Hanover, NH 03755, USA
Thayer School of Engineering, Dartmouth College, Hanover, NH 03755, USA
K. M. Golden
Department of Mathematics, University of Utah, 155 S 1400 E, RM 233, Salt Lake City, UT 84112–0090, USA
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Cited
28 citations as recorded by crossref.
- The Effect of Melt Pond Geometry on the Distribution of Solar Energy Under First‐Year Sea Ice C. Horvat et al. https://doi.org/10.1029/2019GL085956
- Anderson Transition for Classical Transport in Composite Materials N. Murphy et al. https://doi.org/10.1103/PhysRevLett.118.036401
- Pan-Arctic melt pond fraction trend, variability, and contribution to sea ice changes J. Feng et al. https://doi.org/10.1016/j.gloplacha.2022.103932
- Pond fractals in a tidal flat B. Cael et al. https://doi.org/10.1103/PhysRevE.92.052128
- Influence of melt-pond depth and ice thickness on Arctic sea-ice albedo and light transmittance P. Lu et al. https://doi.org/10.1016/j.coldregions.2015.12.010
- Regional melt-pond fraction and albedo of thin Arctic first-year drift ice in late summer D. Divine et al. https://doi.org/10.5194/tc-9-255-2015
- Characterizing sea ice melt pond fraction and geometry in relation to surface morphology L. Buth et al. https://doi.org/10.5194/tc-19-6527-2025
- Modeling present and future ice covers in two Antarctic lakes S. Echeverría et al. https://doi.org/10.1017/jog.2019.78
- Object-based detection of Arctic sea ice and melt ponds using high spatial resolution aerial photographs X. Miao et al. https://doi.org/10.1016/j.coldregions.2015.06.014
- Surface and melt pond evolution on landfast first-year sea ice in the Canadian Arctic Archipelago J. Landy et al. https://doi.org/10.1002/2013JC009617
- A model for ice sheets and glaciers in fractal dimensions R. El-Nabulsi https://doi.org/10.1016/j.polar.2025.101171
- Identifying fractal geometry in Arctic marginal ice zone dynamics J. Sherman et al. https://doi.org/10.1088/1748-9326/adc01e
- Idealized models, holistic distortions, and universality C. Rice https://doi.org/10.1007/s11229-017-1357-4
- Meltwater sources and sinks for multiyear Arctic sea ice in summer D. Perovich et al. https://doi.org/10.5194/tc-15-4517-2021
- The Geometry of Large Tundra Lakes Observed in Historical Maps and Satellite Images I. Sudakov et al. https://doi.org/10.3390/rs9101072
- The radiative and geometric properties of melting first-year landfast sea ice in the Arctic N. Laxague et al. https://doi.org/10.5194/tc-18-3297-2024
- Simple Rules Govern the Patterns of Arctic Sea Ice Melt Ponds P. Popović et al. https://doi.org/10.1103/PhysRevLett.120.148701
- Physical and optical characteristics of sea ice in the Pacific Arctic Sector during the summer of 2018 X. Cao et al. https://doi.org/10.1007/s13131-020-1645-6
- Arctic melt ponds and bifurcations in the climate system I. Sudakov et al. https://doi.org/10.1016/j.cnsns.2014.09.003
- Abundance and morphometry changes across the high‐mountain lake‐size gradient in the tropical Andes of Southern Ecuador P. Mosquera et al. https://doi.org/10.1002/2017WR020902
- Inland water bodies in China: Features discovered in the long-term satellite data S. Feng et al. https://doi.org/10.1073/pnas.1910872116
- The size-distribution of Earth’s lakes B. Cael & D. Seekell https://doi.org/10.1038/srep29633
- Englacial Drainage Drives Positive Feedback Depression Growth on the Debris‐Covered Ngozumpa Glacier, Nepal R. Strickland et al. https://doi.org/10.1029/2023GL104389
- Formation of sea ice ponds from ice-shelf runoff, adjacent to the McMurdo Ice Shelf, Antarctica G. Macdonald et al. https://doi.org/10.1017/aog.2020.9
- Stieltjes functions and spectral analysis in the physics of sea ice K. Golden et al. https://doi.org/10.5194/npg-30-527-2023
- Network modeling of Arctic melt ponds M. Barjatia et al. https://doi.org/10.1016/j.coldregions.2015.11.019
- Melt pond distribution and geometry in high Arctic sea ice derived from aerial investigations W. Huang et al. https://doi.org/10.1017/aog.2016.30
- Ising model for melt ponds on Arctic sea ice Y. Ma et al. https://doi.org/10.1088/1367-2630/ab26db
28 citations as recorded by crossref.
- The Effect of Melt Pond Geometry on the Distribution of Solar Energy Under First‐Year Sea Ice C. Horvat et al. https://doi.org/10.1029/2019GL085956
- Anderson Transition for Classical Transport in Composite Materials N. Murphy et al. https://doi.org/10.1103/PhysRevLett.118.036401
- Pan-Arctic melt pond fraction trend, variability, and contribution to sea ice changes J. Feng et al. https://doi.org/10.1016/j.gloplacha.2022.103932
- Pond fractals in a tidal flat B. Cael et al. https://doi.org/10.1103/PhysRevE.92.052128
- Influence of melt-pond depth and ice thickness on Arctic sea-ice albedo and light transmittance P. Lu et al. https://doi.org/10.1016/j.coldregions.2015.12.010
- Regional melt-pond fraction and albedo of thin Arctic first-year drift ice in late summer D. Divine et al. https://doi.org/10.5194/tc-9-255-2015
- Characterizing sea ice melt pond fraction and geometry in relation to surface morphology L. Buth et al. https://doi.org/10.5194/tc-19-6527-2025
- Modeling present and future ice covers in two Antarctic lakes S. Echeverría et al. https://doi.org/10.1017/jog.2019.78
- Object-based detection of Arctic sea ice and melt ponds using high spatial resolution aerial photographs X. Miao et al. https://doi.org/10.1016/j.coldregions.2015.06.014
- Surface and melt pond evolution on landfast first-year sea ice in the Canadian Arctic Archipelago J. Landy et al. https://doi.org/10.1002/2013JC009617
- A model for ice sheets and glaciers in fractal dimensions R. El-Nabulsi https://doi.org/10.1016/j.polar.2025.101171
- Identifying fractal geometry in Arctic marginal ice zone dynamics J. Sherman et al. https://doi.org/10.1088/1748-9326/adc01e
- Idealized models, holistic distortions, and universality C. Rice https://doi.org/10.1007/s11229-017-1357-4
- Meltwater sources and sinks for multiyear Arctic sea ice in summer D. Perovich et al. https://doi.org/10.5194/tc-15-4517-2021
- The Geometry of Large Tundra Lakes Observed in Historical Maps and Satellite Images I. Sudakov et al. https://doi.org/10.3390/rs9101072
- The radiative and geometric properties of melting first-year landfast sea ice in the Arctic N. Laxague et al. https://doi.org/10.5194/tc-18-3297-2024
- Simple Rules Govern the Patterns of Arctic Sea Ice Melt Ponds P. Popović et al. https://doi.org/10.1103/PhysRevLett.120.148701
- Physical and optical characteristics of sea ice in the Pacific Arctic Sector during the summer of 2018 X. Cao et al. https://doi.org/10.1007/s13131-020-1645-6
- Arctic melt ponds and bifurcations in the climate system I. Sudakov et al. https://doi.org/10.1016/j.cnsns.2014.09.003
- Abundance and morphometry changes across the high‐mountain lake‐size gradient in the tropical Andes of Southern Ecuador P. Mosquera et al. https://doi.org/10.1002/2017WR020902
- Inland water bodies in China: Features discovered in the long-term satellite data S. Feng et al. https://doi.org/10.1073/pnas.1910872116
- The size-distribution of Earth’s lakes B. Cael & D. Seekell https://doi.org/10.1038/srep29633
- Englacial Drainage Drives Positive Feedback Depression Growth on the Debris‐Covered Ngozumpa Glacier, Nepal R. Strickland et al. https://doi.org/10.1029/2023GL104389
- Formation of sea ice ponds from ice-shelf runoff, adjacent to the McMurdo Ice Shelf, Antarctica G. Macdonald et al. https://doi.org/10.1017/aog.2020.9
- Stieltjes functions and spectral analysis in the physics of sea ice K. Golden et al. https://doi.org/10.5194/npg-30-527-2023
- Network modeling of Arctic melt ponds M. Barjatia et al. https://doi.org/10.1016/j.coldregions.2015.11.019
- Melt pond distribution and geometry in high Arctic sea ice derived from aerial investigations W. Huang et al. https://doi.org/10.1017/aog.2016.30
- Ising model for melt ponds on Arctic sea ice Y. Ma et al. https://doi.org/10.1088/1367-2630/ab26db
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