Delta channel networks: 1. A graph-theoretic approach for studying connectivity and steady state transport on deltaic surfaces

Water Resources Research

Volumn 51, Issue 6, 2015, Pages 3998-4018

  Tejedor, Alejandro ^a   Longjas, Anthony ^a   Zaliapin, Ilya ^b   Foufoula Georgiou, Efi ^a,c  

^a UNIVERSITY OF MINNESOTA   (United States)

^b UNIVERSITY OF NEVADA   (United States)

^c University of Minnesota   (United States)

Author keywords

delta; graph theory; network; vulnerability

Indexed keywords

COASTAL ZONES; COMPLEX NETWORKS; NETWORK SECURITY; NETWORKS (CIRCUITS); RIVERS;

DELTA; EXTERNAL PERTURBATIONS; GRAPH THEORETIC APPROACH; QUANTITATIVE FRAMEWORKS; SPECTRAL GRAPH THEORY; STEADY STATE FLUXES; STEADY-STATE TRANSPORT; VULNERABILITY;

GRAPH THEORY;

CHANNEL HYDRAULICS; COASTAL MORPHOLOGY; COASTAL ZONE; DELTA; ENERGY FLUX; GRAPHICAL METHOD; MORPHODYNAMICS; RIVER DISCHARGE; SEDIMENT TRANSPORT; STEADY-STATE EQUILIBRIUM; VULNERABILITY;

ATCHAFALAYA DELTA; LOUISIANA; NIGER DELTA; NIGERIA; UNITED STATES; WAX LAKE DELTA;

EID: 84937519419     PISSN: 00431397     EISSN: 19447973     Source Type: Journal    
DOI: 10.1002/2014WR016577     Document Type: Article

References (69)

1. Abam, T. K. S., (2001), Regional hydrological research perspectives in the Niger Delta, Hydrol. Sci. J., 46, 13-25.
2. Adegoke, J. O., M. Fageja, G. James, G. Agbaje, and, T. E. Ologunorisa, (2010), An assessment of recent changes in the Niger Delta Coastline using satellite imagery, J. Sustainable Dev., 3 (4), 277-296.
3. Agaev, R., and, P. Chebotarev, (2005), On the spectra of nonsymmetric Laplacian matrices, Linear Algebra Appl., 399, 157-168.
4. Anthony, E. J., and, N. Gratiot, (2012), Coastal engineering and large-scale mangrove destruction in Guyana, South America: An environmental catastrophe in the making?, Ecol. Eng., 47, 268-273.
5. Barrat, A., M. Barthelemy, and, A. Vespignani, (2008), Dynamical Processes on Complex Networks, Cambridge Univ. Press, Cambridge, U. K.
6. Bauer, F., (2012), Normalized graph Laplacians for directed graphs, Linear Algebra Appl., 436, 4193-4222, doi: 10.1016/j.laa.2012.01.020.
7. Benda, L., K. Andras, D. Miller, and, P. Bigelow, (2004), Confluence effects in rivers: Interactions of basin scale, network geometry, and disturbance regimes, Water Resour. Res., 40, W05402, doi: 10.1029/2003WR002583.
8. 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 (7), 488-491.
9. Bolla Pittaluga, M., R. Repetto, and, M. Tubino, (2003), Channel bifurcations in braided rivers: Equilibrium configurations and stability, Water Resour. Res., 39 (3), 1046, doi: 10.1029/2001WR001112.
10. Bucx, T., M. Marchand, A. Makaske, and, C. van de Guchte, (2010), Comparative assessment of the vulnerability and resilience of 10 deltas-Synthesis report, Delta Alliance Rep. 1, Delta Alliance Int., Delft, Netherlands.
11. Carrara, F., F. Altermatt, I. Rodriguez-Iturbe, and, A. Rinaldo, (2012), Dendritic connectivity controls biodiversity patterns in experimental metacommunities, Proc. Natl. Acad. Sci. U. S. A., 109 (15), 5761-5766, doi: 10.1073/pnas.1119651109.
12. Caughman, J. S., and, J. J. P. Veerman, (2006), Kernels of directed graph Laplacians, Electron. J. Comb., 13, R39, 1-8.
13. Chen, Z., and, D. J. Stanley, (1998), Sea-level rise on Eastern China's Yangtze delta, J. Coastal Res., 14, 360-366.
14. Chung, F. K. R., (1997), Spectral graph theory, in CBMS Regional Conference in Mathematics, 212 pp., Am. Math. Soc., Providence, R. I.
15. Czuba, J. A., and, E. Foufoula-Georgiou, (2014), A network-based framework for identifying potential synchronizations and amplifications of sediment delivery in river basins, Water Resour. Res., 50, 3826-3851, doi: 10.1002/2013WR014227.
16. Edmonds, D., R. Slingerland, J. Best, D. Parsons, and, N. Smith, (2010), Response of river-dominated delta channel networks to permanent changes in river discharge, Geophys. Res. Lett., 37, L12404, doi: 10.1029/2010GL043269.
17. 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.
18. Edmonds, D. A., and, R. L. Slingerland, (2010), Significant effect of sediment cohesion on delta morphology, Nat. Geosci., 3 (2), 105-109, doi: 10.1038/ngeo730.
19. Edmonds, D. A., C. Paola, D. C. J. D. Hoyal, and, B. A. Sheets, (2011), Quantitative metrics that describe river deltas and their channel networks, J. Geophys. Res., 116, F04022, doi: 10.1029/2010JF001955.
20. Euler, L., (1736), Solutio problematis ad geometriam situs pertinentis, Comment. Acad. Sci. U. Petrop., 8, 128-140. [Reprinted in Opera Omnia Series Prima (1766), 7, 1-10.]
21. Fagherazzi, S., A. Bortoluzzi, W. E. Dietrich, A. Adami, S. Lanzoni, M. Marani, and, A. Rinaldo, (1999), Tidal networks: 1. Automatic network extraction and preliminary scaling features from digital terrain maps, Water Resour. Res., 35 (12), 3891-3904, doi: 10.1029/1999WR900236.
22. Filip, F., and, L. Giosan, (2014), Evolution of Chilia lobes of the Danube delta: Reorganization of deltaic processes under cultural pressures, Anthropocene, 5, 65-70, doi: 10.1016/j.ancene.2014.07.003.
23. Foufoula-Georgiou, E., et al., (2013), A vision for a coordinated international effort on delta sustainability, in Deltas: Landforms, Ecosystems and Human Activities, vol. 358, edited by, G. Young, and, G. M. E. Perillo, pp. 3-11, IAHS Publ., Wallingford, U. K.
24. Galloway, W. E., (1975), Process framework for describing the morphologic and stratigraphic evolution of deltaic depositional systems, in Deltas: Models for Exploration, edited by, M. L. Broussard, pp. 87-98, Houston Geol. Soc., Houston, Tex.
25. Geleynse, N., V. R. Voller, C. Paola, and, V. Ganti, (2012), Characterization of river delta shorelines, Geophys. Res. Lett., 39, L17402, doi: 10.1029/2012GL052845.
26. Goodbred, S. L., Jr,. (2003), Response of the Ganges dispersal system to climate change: A source-to-sink view since the last interstade, Sediment. Geol., 162, 82-104.
27. Goudie, A. S., (2005), The drainage of Africa since the Cretaceous, Geomorphology, 67, 437-456.
28. 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.
29. Kim, W., A. Dai, T. Muto, and, G. Parker, (2009a), Delta progradation driven by an advancing sediment source: Coupled theory and experiment describing the evolution of elongated deltas, Water Resour. Res., 45, W06428, doi: 10.1029/2008WR007382.
30. Kim, W., D. Mohrig, R. Twilley, C. Paola, and, G. Parker, (2009b), Is it feasible to build new land in the Mississippi River Delta?, Eos Trans. AGU, 90 (42), 373-374, doi: 10.1029/2009EO420001.
31. Kuenzer, C., S. van Beijma, U. Gessner, and, S. Dech, (2014), Land surface dynamics and environmental challenges of the Niger Delta, Africa: Remote sensing-based analyses spanning three decades (1986-2013), Appl. Geogr., 53, 354-368.
32. Larsen, L. G., J. W. Harvey, G. B. Noe, and, J. P. Crimaldi, (2009), Predicting organic floc transport dynamics in shallow aquatic ecosystems: Insights from the field, the laboratory, and numerical modeling, Water Resour. Res., 45, W01411, doi: 10.1029/2008WR007221.
33. Liang, M., V. R. Voller, and, C. Paola, (2015a), A reduced-complexity model for river delta formation: Part 1-Modeling deltas with channel dynamics, Earth Surf. Dyn., 3, 67-86, doi: 10.5194/esurf-3-67-2015.
34. Liang, M., N. Geleynse, D. A. Edmonds, and, P. Passalacqua, (2015b), A reduced-complexity model for river delta formation: Part 2-Assessment of the flow routing scheme, Earth Surf. Dyn., 3, 87-104, doi: 10.5194/esurf-3-87-2015.
35. 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.
36. Newman, M. E. J., (2003), The structure and function of complex networks, SIAM Rev., 45, 167-256.
37. Newman, M. E. J., (2010), Networks: An Introduction, 772 pp., Oxford Univ. Press, N. Y.
38. Nyman, J. A., and, R. D. DeLaune, (1999), Four potential impacts of global sea-level rise on coastal marsh stability, Curr. Top. Wetland Biogeochem., 3, 112-117.
39. Paola, C., K. M. Straub, D. C. Mohrig, and, L. Reinhardt, (2009), The "unreasonable effectiveness" of stratigraphic and geomorphic experiments, Earth Sci. Rev., 97, 1-43.
40. Paola, C., R. R. Twilley, D. A. Edmonds, W. Kim, D. Mohrig, G. Parker, E. Viparelli, and, V. R. Voller, (2011), Natural Processes in Delta restoration: Application to the Mississippi Delta, Annu. Rev. Mar. Sci., 3, 67-91, doi: 10.1146/annurev-marine-120709-142856.
41. Parker, G., C. Paola, K. X. Whipple, and, D. C. Mohrig, (1998), Alluvial fans formed by channelized fluvial and sheet flow. I. Theory, J. Hydraul. Eng., 124, 985-995.
42. Passalacqua, P., S. Lanzoni, C. Paola, and, A. Rinaldo, (2013), Geomorphic signatures of deltaic processes and vegetation: The Ganges-Brahmaputra-Jamuna case study, J. Geophys. Res. Earth Surf., 118, 1838-1849, doi: 10.1002/jgrf.20128.
43. Rabalais, N. N., R. E. Turner, Q. Dortch, D. Justic, V. J. Bierman, and, W. J. Wiseman, (2002), Nutrient-enhanced productivity in the northern Gulf of Mexico: Past, present and future, Hydrobiologia, 475, 39-63.
44. Reijers, T. A. J., (2011), Stratigraphy and sedimentology of the Niger Delta, Geologos, 17 (3), 133-162.
45. Rinaldo, A., S. Fagherazzi, S. Lanzoni, M. Marani, and, W. E. Dietrich, (1999a), Tidal networks: 2. Watershed delineation and comparative network morphology, Water Resour. Res., 35 (12), 3905-3917, doi: 10.1029/1999WR900237.
46. Rinaldo, A., S. Fagherazzi, S. Lanzoni, M. Marani, and, W. E. Dietrich, (1999b), Tidal networks: 3. Landscape-forming discharges and studies in empirical geomorphic relationships, Water Resour. Res., 35 (12), 3919-3929, doi: 10.1029/1999WR900238.
47. Roberts, H. H., R. D. Adams, and, R. H. W. Cunningham, (1980), Evolution of sand-dominant subaerial phase, Atchafalaya Delta, Louisiana, AAPG Bull., 64 (2), 264-279.
48. Roberts, H. H., N. Walker, R. Cunningham, G. P. Kemp, and, S. Majersky, (1997), Evolution of sedimentary architecture and surface morphology: Atchafalaya and Wax Lake Deltas, Louisiana (1973-1994), Trans. Gulf Coast Assoc. Geol. Soc., 47 (42) 477-484.
49. Roberts, H. H., J. M. Coleman, S. J. Bentley, and, N. Walker, (2003), An embryonic major delta lobe: A new generation of delta studies in the Atchafalaya-Wax Lake Delta system, Trans. Gulf Coast Assoc. Geol. Soc., 53, 690-703.
50. Rodriguez-Iturbe, I., and, A. Rinaldo, (1997), Fractal River Basins: Chance and Self-Organization, 547 pp., Cambridge Univ. Press, Cambridge, U. K.
51. Saito, Y., H. Wei, Y. Zhou, A. Nishimura, Y. Sato, and, S. Yokota, (2000), Delta progradation and chenier formation in the Huanghe (Yellow River) delta, China, J. Asian Earth Sci., 18, 489-497.
52. Sapozhnikov, V. B., and, E. Foufoula-Georgiou, (1996), Self-affinity in braided rivers, Water Resour. Res., 32 (5), 1429-1439, doi: 10.1029/96WR00490.
53. Sapozhnikov, V. B., and, E. Foufoula-Georgiou, (1997), Experimental evidence of dynamic scaling and indications of self-organized criticality in braided rivers, Water Resour. Res., 33 (8), 1983-1991, doi: 10.1029/97WR01233.
54. Sapozhnikov, V. B., and, E. Foufoula-Georgiou, (1999), Horizontal and vertical self-organization of braided rivers towards a critical state, Water Resour. Res., 35 (3), 843-851, doi: 10.1029/98WR02744.
55. Seybold, H., J. S. Andrade Jr,., and, H. J. Herrmann, (2007), Modeling river delta formation, Proc. Natl. Acad. Sci. U. S. A., 104 (43), 16,804-16,809, doi: 10.1073/pnas.0705265104.
56. 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.
57. Shaw, J. B., D. Mohrig, and, S. K. Whitman, (2013), The morphology and evolution of channels on the Wax Lake Delta, Louisiana, USA, J. Geophys. Res. Earth Surf., 118, 1562-1584, doi: 10.1002/jgrf.20123.
58. Short, K. C., and, A. J. Staeuble, (2004), Outline of geology of Niger delta. AAPG Bull., 51 (5), 761-799.
59. Smart, J. S., and, V. L. Moruzzi, (1971), Quantitative properties of delta channel networks, Tech. Rep. 3, 27 pp., IBM Thomas J. Watson Res. Cent., Yorktown, N. Y.
60. Syvitski, J. P. M., (2008), Deltas at risk, Sustainability Sci., 3 (1), 23-32, doi: 10.1007/s11625-008-0043-3.
61. Syvitski, J. P. M., A. J. Kettner, A. Correggiari, and, B. W. Nelson, (2005), Distributary channels and their impact on sediment dispersal, Mar. Geol., 222-223, 75-94.
62. Syvitski, J. P. M., et al., (2009), Sinking deltas due to human activities, Nat. Geosci., 2 (10), 681-686, doi: 10.1038/ngeo629.
63. Tejedor, A., A. Longjas, I. Zaliapin, and, E. Foufoula-Georgiou, (2015), Delta Channel Networks: 2. Metrics of topologic and dynamic complexity for delta comparison, physical inference and vulnerability assessment, Water Resour. Res., doi: 10.1002/2014WR016604, in press.
64. Vörösmarty, C. J., J. Syvitski, J. Day, A. de Sherbinin, L. Giosan, and, C. Paola, (2009), Battling to save the world's River Deltas, Bull. At. Sci., 65 (2), 31-43, doi: 10.2968/065002005.
65. Wolinsky, M., D. A. Edmonds, J. M. Martin, and, C. Paola, (2010), Delta allometry: Growth laws for river deltas, Geophys. Res. Lett., 37, L21403, doi: 10.1029/2010GL044592.
66. Wright, L. D., and, J. M. Coleman, (1973), Variations in morphology of major river deltas as functions of ocean wave and river discharge regimes, AAPG Bull., 57 (2), 370-398.
67. Zaliapin, I., E. Foufoula-Georgiou, and, M. Ghil, (2010), Transport on river networks: A dynamic tree approach, J. Geophys. Res., 115, F00A15, doi: 10.1029/2009JF001281.
68. Zanardo, S., I. Zaliapin, and, E. Foufoula-Georgiou, (2013), Are American rivers Tokunaga self-similar? New results on fluvial network topology and its climatic dependence, J. Geophys. Res. Earth Surf., 118, 166-183, doi: 10.1002/jgrf.20029.
69. Ziv, G., E. Baran, S. Nam, I. Rodríguez-Iturbe, and, S. A. Levin, (2012), Trading-off fish biodiversity, food security, and hydropower in the Mekong River Basin, Proc. Natl. Acad. Sci. U. S. A., 109 (15), 5609-5614, doi: 10.1073/pnas.1201423109.