Articles | Volume 22, issue 6
https://doi.org/10.5194/npg-22-713-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/npg-22-713-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
30 Nov 2015
Research article |
| 30 Nov 2015
Universal multifractal Martian topography
F. Landais
CORRESPONDING AUTHOR
GEOPS, Univ. Paris-Sud, CNRS, Universite Paris-Saclay, Rue du Belvedere, Bat. 504–509, 91405 Orsay, France
F. Schmidt
GEOPS, Univ. Paris-Sud, CNRS, Universite Paris-Saclay, Rue du Belvedere, Bat. 504–509, 91405 Orsay, France
S. Lovejoy
Physics department, McGill University, 3600 University st., Montreal, Que. H3A 2T8, Canada
Viewed
Total article views: 3,643 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 18 Jul 2015)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 1,995 | 1,427 | 221 | 3,643 | 277 | 321 |
- HTML: 1,995
- PDF: 1,427
- XML: 221
- Total: 3,643
- BibTeX: 277
- EndNote: 321
Total article views: 3,119 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 30 Nov 2015)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 1,789 | 1,125 | 205 | 3,119 | 265 | 310 |
- HTML: 1,789
- PDF: 1,125
- XML: 205
- Total: 3,119
- BibTeX: 265
- EndNote: 310
Total article views: 524 (including HTML, PDF, and XML)
Cumulative views and downloads
(calculated since 18 Jul 2015)
| HTML | XML | Total | BibTeX | EndNote | |
|---|---|---|---|---|---|
| 206 | 302 | 16 | 524 | 12 | 11 |
- HTML: 206
- PDF: 302
- XML: 16
- Total: 524
- BibTeX: 12
- EndNote: 11
Cited
13 citations as recorded by crossref.
- Decoding the Morphological Differences between Himalayan Glacial and Fluvial Landscapes Using Multifractal Analysis S. Dutta https://doi.org/10.1038/s41598-017-11669-0
- Multifractal topography of several planetary bodies in the solar system F. Landais et al. https://doi.org/10.1016/j.icarus.2018.07.005
- Review article: Scaling, dynamical regimes, and stratification. How long does weather last? How big is a cloud? S. Lovejoy https://doi.org/10.5194/npg-30-311-2023
- The Phase Response of a Rough Rectangular Facet for Radar Sounder Simulations of Both Coherent and Incoherent Scattering C. Gerekos et al. https://doi.org/10.1029/2022RS007594
- Channeling of Branched Flow in Weakly Scattering Anisotropic Media H. Degueldre et al. https://doi.org/10.1103/PhysRevLett.118.024301
- Topography of (exo)planets F. Landais et al. https://doi.org/10.1093/mnras/sty3253
- A Driving Fatigue Feature Detection Method Based on Multifractal Theory F. Wang et al. https://doi.org/10.1109/JSEN.2022.3201015
- Prospects for measuring Mercury’s tidal Love numberh2with the BepiColombo Laser Altimeter R. Thor et al. https://doi.org/10.1051/0004-6361/201936517
- TOPOGRAPHY ANALYSIS OF TERRAIN WITHIN PROTONILUS MENSAE REGION OF MARS USING FRACTAL DIMENSION AND LACUNARITY R. Iliev & B. Ranguelov https://doi.org/10.32006/eeep.2026.1.3037
- Morphology and multifractal features of a guyot in specific topographic vicinity in the Caroline Ridge, West Pacific Y. Gan et al. https://doi.org/10.1007/s00343-021-0383-8
- Complex Nanoparticle Diffusional Motion in Liquid-Cell Transmission Electron Microscopy E. Bakalis et al. https://doi.org/10.1021/acs.jpcc.0c03203
- Site selection characteristics and defense patterns of fort settlements in the Fen River Basin, China X. Wang et al. https://doi.org/10.1038/s40494-025-02158-z
- Application of fractal and multifractal analysis on Blue Nile drainage patterns in the morphostructural analysis of the Ethiopian highlands, Ethiopia M. Kusák https://doi.org/10.1177/03091333211059419
13 citations as recorded by crossref.
- Decoding the Morphological Differences between Himalayan Glacial and Fluvial Landscapes Using Multifractal Analysis S. Dutta https://doi.org/10.1038/s41598-017-11669-0
- Multifractal topography of several planetary bodies in the solar system F. Landais et al. https://doi.org/10.1016/j.icarus.2018.07.005
- Review article: Scaling, dynamical regimes, and stratification. How long does weather last? How big is a cloud? S. Lovejoy https://doi.org/10.5194/npg-30-311-2023
- The Phase Response of a Rough Rectangular Facet for Radar Sounder Simulations of Both Coherent and Incoherent Scattering C. Gerekos et al. https://doi.org/10.1029/2022RS007594
- Channeling of Branched Flow in Weakly Scattering Anisotropic Media H. Degueldre et al. https://doi.org/10.1103/PhysRevLett.118.024301
- Topography of (exo)planets F. Landais et al. https://doi.org/10.1093/mnras/sty3253
- A Driving Fatigue Feature Detection Method Based on Multifractal Theory F. Wang et al. https://doi.org/10.1109/JSEN.2022.3201015
- Prospects for measuring Mercury’s tidal Love numberh2with the BepiColombo Laser Altimeter R. Thor et al. https://doi.org/10.1051/0004-6361/201936517
- TOPOGRAPHY ANALYSIS OF TERRAIN WITHIN PROTONILUS MENSAE REGION OF MARS USING FRACTAL DIMENSION AND LACUNARITY R. Iliev & B. Ranguelov https://doi.org/10.32006/eeep.2026.1.3037
- Morphology and multifractal features of a guyot in specific topographic vicinity in the Caroline Ridge, West Pacific Y. Gan et al. https://doi.org/10.1007/s00343-021-0383-8
- Complex Nanoparticle Diffusional Motion in Liquid-Cell Transmission Electron Microscopy E. Bakalis et al. https://doi.org/10.1021/acs.jpcc.0c03203
- Site selection characteristics and defense patterns of fort settlements in the Fen River Basin, China X. Wang et al. https://doi.org/10.1038/s40494-025-02158-z
- Application of fractal and multifractal analysis on Blue Nile drainage patterns in the morphostructural analysis of the Ethiopian highlands, Ethiopia M. Kusák https://doi.org/10.1177/03091333211059419
Saved (final revised paper)
Latest update: 12 Sep 2026
Short summary
In the present study, we investigate the scaling properties of the topography of Mars. Planetary topographic fields are well known to exhibit (mono)fractal behavior. Indeed, fractal formalism is efficient in reproducing the variability observed in topography. Our results suggest a multifractal behavior from the planetary scale down to 10 km. From 10 km to 300 m, the topography seems to be simple monofractal.
In the present study, we investigate the scaling properties of the topography of Mars. Planetary...
