An agent-based model of dune interactions produces the emergence of patterns in deserts

Geophysical Research Letters

Volumn 40, Issue 15, 2013, Pages 3909-3914

  Génois, Mathieu ^a   Du Pont, Sylvain Courrech ^a   Hersen, Pascal ^a   Grégoire, Guillaume ^a,b  

^a UNIVERSITÉ PARIS DIDEROT   (France)

^b Academy of Bradylogists   (France)

Author keywords

barchan field; collision of dunes; corridors of dunes; self organization

Indexed keywords

AGENT-BASED MODEL; BARCHAN FIELD; COLLISION OF DUNES; CORRIDORS OF DUNES; DUNE COLLISIONS; ELEMENTARY RULES; SELF ORGANIZATIONS; WIND DIRECTIONS;

ARID REGIONS; COMPUTATIONAL METHODS; EARTH (PLANET); LANDFORMS;

WIND EFFECTS;

BARCHAN; COLLISION; DESERT; DILUTION; SELF ORGANIZATION;

EID: 84881156498     PISSN: 00948276     EISSN: 19448007     Source Type: Journal    
DOI: 10.1002/grl.50757     Document Type: Article

References (33)

1. Bagnold, R. A., (1941), The Physics of Blown Sand and Desert Dunes, Chapman and Hall, London.
2. Bourke, M., and, A. Goudie, (2009), Varieties of barchan form in the Namib Desert and on Mars, Aeolian Res., 1 (1-2), 45-54, doi: 10.1016/j.aeolia.2009.05.002.
3. Breed, C. S., M. J. Grolier, and, J. F. McCauley, (1979), Morphology and distribution of common "sand" dunes on Mars: Comparison with the Earth, J. Geophys. Res., 84 (B14), 8183-8204, doi: 10.1029/JB084iB14p08183.
4. Chaté, H., F. Ginelli, G. Grégoire, and, F. Raynaud, (2008), Modeling collective motion: Variations on the Vicsek model, Eur. Phys. J. B, 64, 451, doi: 10.1140/epjb/e2008-00275-9.
5. Cooke, R. U., A. Warren, and, A. S. Goudie, (1993), Desert Geomorphology, UCL Press Limited, University College London, London, U. K.
6. Devauchelle, O., A. P. Petroff, H. F. Seybold, and, D. H. Rothman, (2012), Ramification of stream networks, PNAS, 109 (51), 20,832-20,836, doi: 10.1073/pnas.1215218109.
7. Diniega, S., K. Glasner, and, S. Byrne, (2010), Long-time evolution of models of aeolian sand dune fields: Influence of dune formation and collision, Geomorphology, 121, 55-68, doi: 10.1016/j.geomorph.2009.02.010.
8. Dodds, P., and, D. Rothman, (2000), Scaling, universality, and geomorphology, Annu. Rev. Earth Planet. Sci., 28 (1), 571-610, doi: 10.1146/annurev.earth.28.1.571.
9. Durán, O., V. Schwammle, and, P. G. Lind, (2009), The dune size distribution and scaling relations of barchan dune fields, Granular Matter, 11 (1), 7-11, doi: 10.1007/s10035-008-0120-4.
10. Durán, O., V. Schwammle, P. G. Lind, and, H. J. Herrman, (2011), Size distribution and structure of barchan dune fields, Nonlinear Processes Geophys., 18 (4), 455-467, doi: 10.5194/npg-18-455-2011.
11. Elbelrhiti, H., P. Claudin, and, B. Andreotti, (2005), Field evidence for surface-wave-induced instability of sand dunes, Nature, 437, 720-723, doi: 10.1038/nature04058.
12. Elbelrhiti, H., B. Andreotti, and, P. Claudin, (2008), Barchan dune corridors: Field characterization and investigation of control parameter, J. Geophys. Res., 113, F02S15, doi: 10.1029/2007JF000767.
13. Endo, N., K. Taniguchi, and, A. Katsuki, (2004), Observation of the whole process of interaction between barchans by flume experiments, Geophys. Res. Lett, 31, L12503, doi: 10.1029/2004GL020168.
14. Finkel, H., (1959), The barchans of southern Peru, J. Geol., 67, 614-647.
15. Guignier, L., H. Niiya, H. Nishimori, D. Lague, and, A. Valance, (2013), Sand dunes as migrating strings, Phys. Rev. E, 87, 052206, doi: 10.1103/PhysRevE.87.052206.
16. Hersen, P., (2004), On the crescentic shape of barchan dune, Eur. Phys. J. B, 37, 507-514, doi: 10.1140/epjb/e2004-00087-y.
17. Hersen, P., and, S. Douady, (2005), Collision of barchan dunes as a mechanism of size regulation, Geophys. Res. Lett., 32, L21403, doi: 10.1029/2005GL024179.
18. Hersen, P., K. H. Andersen, H. Elbelrhiti, B. Andreotti, P. Claudin, and, S. Douady, (2004), Corridors of barchan dunes: Stability and size selection, Phys. Rev. E, 69 (1), 011-304, doi: 10.1103/PhysRevE.69.011304.
19. Hugenbholtz, C., and, T. Barchyn, (2012), Real barchan dune collisions and ejections, Geophys. Res. Lett., 39, L02306, doi: 10.1029/2011GL050299.
20. Katsuki, A., N. Endo, and, K. Taniguchi, (2005), Collision dynamics of two barchan dunes simulated by a simple model, J. Phys. Soc. Japan, 37, 507-514, doi: 10.1143/JPSJ.74.538.
21. Kocurek, G., R. Ewing, and, D. Mohrig, (2010), How do bed form patterns arise? New views on the role of bed form interactions within a set of boundary conditions, ESPL, 35 (1), 51-63, doi: 10.1002/esp.1913.
22. Kroy, K., G. Sauermann, and, H. J. Herrmann, (2002), Minimal model for aeolian sand dunes, Phys. Rev. E, 66, 031-302, doi: 10.1103/PhysRevE.66.031302.
23. Lima, A., H. Sauermann, H. Herrmann, and, K. Kroy, (2002), Modelling a dune field, Physica A, 310, 487-500, doi: 10.1016/S0378-4371(02)00546-0.
24. Parteli, E., J. Andrade, and, H. Herrmann, (2011), Transverse instability of dunes, Phys. Rev. Lett, 107 (188), 001, doi: 10.1103/PhysRevLett.107.188001.
25. Pye, K., and, H. Tsoar, (1990), Aeolian Sand and Sand Dunes, Unwin Hyman, London.
26. Radebaugh, J., R. Lorenz, T. Farr, P. Paillou, C. Savage, and, C. Spencer, (2010), Linear dunes on Titan and Earth: Initial remote sensing comparisons, Geomorphology, 121 (1-2), 122-132, doi: 10.1016/j.geomorph.2009.02. 022.
27. Reffet, E., S. Courrech du Pont, P. Hersen, and, S. Douady, (2010), Formation and stability of transverse and longitudinal sand dunes, Geology, 39 (6), 491-494, doi: 10.1130/G30894.1.
28. Rodriguez-Iturbe, I., and, A. Rinaldo, (1997), Fractal River Basins: Chance and Self-Organization, Cambridge Univ. Press, Cambridgre, U.K.
29. Schwämmle, V., and, H. J. Herrmann, (2003), Solitary wave behaviour of sand dunes, Nature, 426, 619-620, doi: 10.1038/426619a.
30. Vermeesch, P., (2011), Solitary wave behavior in sand dunes observed from space, Geophys. Res. Lett., 38, L22, doi: 10.1029/2011GL049610.
31. Vicsek, T., A. Czirok, E. Benjacob, I. Cohen, and, O. Shochet, (1995), Novel type of phase-transition in a system of self-driven particles, Phys. Rev. Lett, 75 (6), 1226-1229, doi: 10.1103/PhysRevLett.75.1226.
32. Wasson, R., and, R. Hyde, (1983), Factors determining desert dune type, Nature, 304, 337-339, doi: 10.1038/304337a0.
33. Zhang, D., C. Narteau, and, O. Rozier, (2009), Morphodynamics of barchan and transverse dunes using a cellular automaton model, J. Geophys. Res., 115, F03041, doi: 10.1029/2009JF001620.