Delta allometry: Growth laws for river deltas

Geophysical Research Letters

Volumn 37, Issue 21, 2010, Pages

  Wolinsky, Matthew A ^a,b,d   Edmonds, Douglas A ^b   Martin, John ^a,c   Paola, Chris ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

^b BOSTON COLLEGE   (United States)

^c EXXONMOBIL UPSTREAM RESEARCH COMPANY   (United States)

^d Bellaire Technology Center   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SEA LEVEL;

CHANNEL NETWORK; CONSTANT RATE; EDGE LENGTH; FIELD SCALE; GROWTH DYNAMICS; GROWTH LAWS; LAND AREAS; RELATIVE SEA LEVEL; RIVER DELTAS; SEA LEVEL RISE; SEDIMENT STARVATION; WETTED AREA;

WETTING;

ALLOMETRY; CHANNELIZATION; DELTA; LANDSCAPE EVOLUTION; SEA LEVEL CHANGE; STARVATION; SUBSIDENCE; TIME SERIES;

EID: 78149437954     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2010GL044592     Document Type: Article

References (33)

1. Banavar, J. R., A. Maritan, and A. Rinaldo (1999), Size and form in efficient transportation networks, Nature, 399, 130-132, doi:10.1038/ 20144. (Pubitemid 29230427)
2. Blum, M. D., and H. H. Roberts (2009), Drowning of the Mississippi Delta due to insufficient sediment supply and global sea-level rise, Nat. Geosci., 2, 488-491, doi:10.1038/ngeo553.
3. Bull, W. B. (1975), Allometric change of landforms, GSA Bull., 86, 1489-1498, doi:10.1130/0016-7606(1975)862.0.CO;2.
4. Day, J. W., et al. (2007), Restoration of the Mississippi Delta: Lessons from Hurricanes Katrina and Rita, Science, 315, 1679-1684, doi:10.1126/sci-ence. 1137030.
5. Edmonds, D. A., and R. L. Slingerland (2007), Mechanics of river mouth bar formation: Implications for the morphodynamics of delta distributary networks, J. Geophys. Res., 112, F02034, doi:10.1029/2006JF000574. (Pubitemid 47342576)
6. Edmonds, D. A., and R. L. Slingerland (2010), Significant effect of sediment cohesion on delta morphology, Nat. Geosci., 3, 105-109, doi:10.1038/ngeo730.
7. Ericson, J. P., C.J. Vörösmarty,S.L.Dingman, L. G. Ward, and M. Meybeck (2006), Effective sea-level rise and deltas: Causes of change and human dimension implications, Global Planet. Change, 50, 63-82, doi:10.1016/j. gloplacha.2005.07.004.
8. Galloway, W. E. (1975), Deltas: Models for Exploration, edited by M. L. Broussard, pp. 87-98, Houston Geol. Soc., Houston, Tex.
9. Gould, S. J. (1966), Allometry and size in ontogeny and phylogeny, Biol. Rev. Camb. Philos. Soc., 41, 587-638, doi:10.1111/j.1469-185X.1966. tb01624.x.
10. Haff, P. K. (2000), Scaling: Rivers, blood and transportation networks, Nature, 408, 159-160, doi:10.1038/35041633.
11. Hood, W. G. (2007), Landscape allometry and prediction in estuarine ecology: Linking landform scaling to ecological patterns and processes, Estuaries Coasts, 30, 895-900.
12. Hoyal, D. C. J. D., and B. A. Sheets (2009), Morphodynamic evolution of experimental cohesive deltas, J. Geophys. Res., 114, F02009, doi:10.1029/2007JF000882.
13. Huxley, J. S. (1932), Problems of Relative Growth, Methuen, London.
14. Huxley, J. S., and G. Teissier (1936), Terminology of relative growth, Nature, 137, 780-781, doi:10.1038/137780b0.
15. Jerolmack, D. J., and J. B. Swenson (2007), Scaling relationships and evolution of distributary networks on wave-influenced deltas, Geophys. Res. Lett., 34, L23402, doi:10.1029/2007GL031823. (Pubitemid 351246995)
16. Kim, W., D. Mohrig, R. Twilley, C. Paola, and G. Parker (2009), Is it feasible to build new land in the Mississippi River Delta?, Eos Trans. AGU, 90(42), doi:10.1029/2009EO420001.
17. Lesser, G. R., J. A. Roelvink, J. Van Kester, and G. S. Stelling (2004), Development and validation of a three-dimensional morphological model, Coastal Eng., 51, 883-915, doi:10.1016/j.coastaleng.2004.07.014. (Pubitemid 39267026)
18. Mandelbrot, B. (1967), How long is the coast of Britain? Statistical self? similarity and fractional dimension, Science, 156, 636-638, doi:10.1126/science.156.3775.636.
19. Martin, J., B. Sheets, C. Paola, and D. Hoyal (2009), Influence of steady base-level rise on channel mobility, shoreline migration, and scaling properties of a cohesive experimental delta, J. Geophys. Res., 114, F03017, doi:10.1029/2008JF001142.
20. Mitsch, W. J., and J. G. Gosselink (2003), Wetlands, 722 pp., Van Nos-trand Reinhold, New York.
21. Murray, A. B., and C. C. Barton (2007), How fractal are coastlines really? Observation and theory, Eos Trans. AGU, 88(52), Fall Meet. Suppl., Abstract U43B-1123.
22. Roberts, H. H. (1997), Dynamic changes of the Holocene Mississippi River delta plain: The delta cycle, J. Coastal Res., 13, 605-627.
23. Sapozhnikov, V., and E. Foufoula-Georgiou (1996), Self-affinity in braided rivers, Water Resour. Res., 32, 1429-1439, doi:10.1029/ 96WR00490.
24. Seybold, H. J., P. Molnar, H. M. Singer, J. S. Andrade Jr., H. J. Herrmann, and W. Kinzelbach (2009), Simulation of birdfoot delta formation with application to the Mississippi Delta, J. Geophys. Res., 114, F03012, doi:10.1029/2009JF001248.
25. Shaw, J. B., M. A. Wolinsky, C. Paola, and V. R. Voller (2008), An image- based method for shoreline mapping on complex coasts, Geophys. Res. Lett., 35, L12405, doi:10.1029/2008GL033963.
26. Smith, N. D., R. L. Slingerland, M. Perez-Arlucea, and G. S. Morozova (1998), The 1870s avulsion of the Saskatchewan River, Can. J. Earth Sci., 35, 453-466, doi:10.1139/cjes-35-4-453.
27. Straub, K. M., C. Paola, D. Mohrig, M. A. Wolinsky, and T. George (2009), Compensational stacking of channelized sedimentary deposits, J. Sediment. Res., 79, 673-688, doi:10.2110/jsr.2009.070.
28. Syvitski, J., and Y. Saito (2007), Morphodynamics of deltas under the influence of humans, Global Planet. Change, 57, 261-282, doi:10.1016/j. gloplacha.2006.12.001. (Pubitemid 46756201)
29. Syvitski, J. P. M., et al. (2009), Sinking deltas due to human activities, Nat. Geosci., 2, 681-686, doi:10.1038/ngeo629.
30. Törnqvist, T. E., et al. (2008), Mississippi Delta subsidence primarily caused by compaction of Holocene strata, Nat. Geosci., 1, 173-176, doi:10.1038/ngeo129.
31. Turcotte, D. L. (1997), Fractals and Chaos in Geology and Geophysics, Cambridge Univ. Press, Cambridge, U. K.
32. West, G. B., J. H. Brown, and B. J. Enquist (1999), The fourth dimension of life: Fractal geometry and allometric scaling of organisms, Science, 284, 1677-1679, doi:10.1126/science.284.5420.1677. (Pubitemid 29291379)
33. Wolinsky, M. A., J. B. Swenson, N. Litchfield, and J. E. McNinch (2010), Coastal progradation and sediment partitioning in the Holocene Waipaoa Sedimentary System, New Zealand, Mar. Geol., 270, 94-107, doi:10.1016/j.margeo. 2009.10.021.