Lessons from large lake systems - Thresholds, nonlinearity, and strange attractors

Special Paper of the Geological Society of America

Volumn 370, Issue , 2003, Pages 75-90

  Bohacs, Kevin M ^a   Carroll, Alan R ^b   Neal, Jack E ^a  

^a EXXONMOBIL UPSTREAM RESEARCH COMPANY   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

Aeolian; Caspian Sea; Climate; Climate change; Continental depositional systems; Contingency; Fluvial; Fractal; Lacustrine; Lake; Lake size; Mixis; Nonlinear dynamics; Nonmarine depositional systems; Paleoclimate; Paleolatitude; Playa; Rift basin; Rivers; Sag basin; Tectonics; Topography; Water chemistry

Indexed keywords

CLIMATE CHANGE; DEPOSITION; DYNAMICAL SYSTEMS; DYNAMICS; FRACTALS; HYDROCHEMISTRY; NONLINEAR DYNAMICAL SYSTEMS; RIVERS; SEDIMENTS; STRATIGRAPHY; TECTONICS; TOPOGRAPHY; WATER SUPPLY;

AEOLIAN; CASPIAN SEA; CLIMATE; CONTINGENCY; DEPOSITIONAL SYSTEM; FLUVIAL; LACUSTRINE; MIXIS; PALEOCLIMATES; PALEOLATITUDE; PLAYA; RIFT BASIN; SAG BASIN; WATER CHEMISTRY;

LAKES;

CLIMATE VARIATION; CRETACEOUS; DEPOSITIONAL ENVIRONMENT; LACUSTRINE ENVIRONMENT; NONLINEARITY; PERMIAN; THRESHOLD; WATER SUPPLY;

CHINA;

EID: 84870977616     PISSN: 00721077     EISSN: None     Source Type: Book Series    
DOI: 10.1130/0-8137-2370-1.75     Document Type: Article

References (93)

1. Bak, P.C., Tang, C., and Wiesenfeld, K., 1987, Self-organized criticality: An explanation of 1/f noise: Physics Review Letters, v. 59, p. 381-385.
2. Bak, P.C., Tang, C., and Wiesenfeld, K., 1988, Self-organized criticality: Physics Reviews A, v. 38, no. 1, p. 364-374.
3. Baker, S., 1866, The Albert Nyanza, great basin of the Nile: New York, Dover edition 1964, 235 p.
4. Barron, E.J., 1990, Climate and lacustrine petroleum source prediction, in Katz, B.J., ed., Lacustrine basin exploration; case studies and modern analogs: American Association of Petroluem Geologists Memoir 50, p. 1-8.
5. Benzi, R., Paladin, G., Parisi, G., and Vulpiani, A., 1984, On the multifractal nature of fully developed turbulence and chaotic systems: Journal of Physics A, v. 17, p. 3521-3531.
6. Bergé, P., Pomeau, Y., and Vidal, Ch., 1984, Order within chaos: New York, Wiley, and Paris, Hermann, 183 p.
7. Blair, T.C., and MacPherson, J.G., 1994, Historical adjustments by Walker River to lake-level fall over a tectonically tilted half-graben floor, Walker Lake Basin, Nevada: Sedimentary Geology, v. 92, p. 7-16.
8. Bohacs, K.M., 1999, Sequence stratigraphy of lake basins; unraveling the influence of climate and tectonics: American Association of Petroleum Geologists Bulletin, v. 83, p. 1878.
9. Bohacs, K.M., Carroll, A.R., and Neal, J.E., 2000a, Lessons from large lake systems - Thresholds, nonlinearity, and strange attractors: Geological Society of America Abstracts with Programs, v. 32, no. 7, p. A-312.
10. Bohacs, K.M., Carroll, A.R., Neal, J.E., and Mankiewicz, P.J., 2000b, Lake-basin type, source potential, and hydrocarbon character: An integrated sequencestratigraphic-geochemical framework, in Gierlowski-Kordesch, E., and Kelts, K., eds., Lake basins through space and time: American Association of Petroleum Geologists Studies in Geology v. 46, p. 3-37.
11. Bohacs, K.M., Neal, J.E., Carroll, A.R., Reynolds. D.J., 2000c, Lakes are not small oceans! Sequence stratigraphy in lacustrine basins [abs.]: American Association of Petroleum Geologists Annual Meeting Expanded Abstracts, v. 9, p. 14.
12. Bohacs, K.M., Grabowski, G.J., Jr, Carroll, A.R., Miskell-Gerhardt, K.J. 2001, Non-marine sequence stratigraphy field workshop: Guidebook to Wyoming & Colorado outcrops: Rocky Mountain Section, SEPM Field Trip Guidebook, Denver Colorado, 102 p.
13. Bradley, W.H., 1925, A contribution to the origin of oil shale: Bulletin of the American Association of Petroleum Geologists, v. 9, p. 247-262.
14. Bull, W.B., 1991, Geomorphic responses to climatic change: London, Oxford University Press, 312 p.
15. Buoniconti, M.R., 2001, The role of lake level dynamics in lacustrine stratal architecture and sequence development: Evidence for the Songwe delta, Lake Malawi, east Africa [abs.]: American Association of Petroleum Geologists Abstracts with Program, v. 10, p. A-25.
16. Burton, R., 1860, The lake region of central Africa: London, Tylston and Edwards, 298 p.
17. Carpenter, S.R., and Pace, M.L., 1999, Dystrophy and eutrophy in lake ecosystems: Implications of fluctuating inputs: Oikos, v. 78, p. 3-14.
18. Carroll, A.R., 1998, Upper Permian lacustrine organic facies evolution, southern Junggar Basin, NW China: Organic Geochemistry, v. 28, p. 649-667. (Pubitemid 28382397)
19. Carroll, A.R., and Bohacs, K.M., 1999, Stratigraphic classification of ancient lakes: Balancing tectonic and climatic controls: Geology, v. 27, p. 99-102. (Pubitemid 29285772)
20. Carroll, A.R., and Bohacs, K.M., 2001, Lake-type controls on petroleum source rock potential in nonmarine basins: American Association of Petroluem Geologists Bulletin, v. 85, p. 1033-1053. (Pubitemid 32626516)
21. Carroll A.R., Graham, S.A., Hendrix, M.S.,Ying, D., and Zhou, D., 1995, Late Paleozoic tectonic amalgamation of northwestern China: Sedimentary record of the northern Tarim, northwestern Turpan, and southern Junggar Basins: Geological Society of America Bulletin, v. 107, p. 571-594.
22. Cole, G.A., 1979, Textbook of limnology (2nd ed.): St. Louis, C.V. Mosby, 426 p.
23. Cole, R.D., 1998, Possible Milankovitch cycles in the lower Parachute Creek Member of Green River Formation (Eocene), north-central Piceance Creek basin, Colorado; an analysis, in Pitman, J.K., and Carroll, A.R., eds., Modern & ancient lake systems; new problems and perspectives: Utah Geological Association Publication, v. 26, p. 233-259.
24. Contreras, J., and Scholz, C.A., 2001, Evolution of stratigraphic sequences in multisegmented continental rift basins; comparison of computer models with the basins of the East African rift system: American Association of Petroleum Geologists Bulletin, v. 85, p. 1565-1581. (Pubitemid 33002053)
25. Cross, S.L., Baker, P.B., Seltzer, G.O., Fritz, S.C., and Dunbar, R.B., 2001, Late Quaternary climate and hydrology of tropical South America inferred from an isotopic and chemical model of Lake Titicaca, Bolivia and Peru: Quaternary Research, v. 56, p. 1-9.
26. Crovelli, R.A., and Barton, C.C., 1995, Fractals and the Pareto distribution applied to petroleum accumulation-size distributions, in Barton, C.C., and LaPointe, P.R., eds., Fractals in petroleum geology and Earth processes: New York, Plenum Press, p. 59-72.
27. Dubiel, R.F., 1994, Lacustrine deposits of the Upper Triassic Chinle Formation, Colorado Plateau, USA, in Gierlowski-Kordesch, E., and K. Kelts, eds., Global geological record of lake basins, volume 1: Cambridge, Cambridge University Press, p. 151-154.
28. Ebinger, C.J., Rosendahl, B.R., and Reynolds, D.J., 1987, Tectonic model of the Malawi Rift, Africa, in Ben Avraham Zvi, ed., Sedimentary basins within the Dead Sea Rift and other rift zones: Tectonophysics, v. 141, p. 215-235.
29. Einsele, G., and Hinderer, M., 1998, Quantifying denudation and sediment accumulation systems (open and closed lakes): Basic concepts and first results: Palaeogeography, Palaeoclimatology, Palaeoecology, v. 140, p. 7-21. (Pubitemid 28329357)
30. Feder, J., 1988, Fractals: New York, Plenum, 492 p.
31. Figueiredo, A.M.G., Braga, J.A.E., Zabalaga, H.M.C., Oliveira, J.J., Aguiar, G.A., Silva, O.B.,Mato, L.F., Daniel, L.M.F., Magnavita, L.P., and Bruhn, C.H.L., 1994, Recôncavo Basin: A prolific intracontinental rift basin, in Landon, S.M., ed., Interior rift basins: American Association of Petroleum Geologists Memoir 59, p. 157-203.
32. Frisch, U., and Parisi, G., 1985, Fully developed turbulence and intermittency, in Ghil, M., Benzi, R., and Parisi, G., eds., Turbulence and predictability in geophysical fluid dynamics: New York, North Holland, p. 84-92.
33. Fuller, I.C., Macklin, M.G., Lewin, J., Passmore, D.G., and Wintle, A.G., 1998, River response to high-frequency climate oscillations in southern Europe over the past 200 k.y.: Geology, v. 26, p. 275-278.
34. Garner, H.F., 1957, Stratigraphic-sedimentary significance of contemporary climate and relief in four regions of the Andes Mountains: Geological Society of America Bulletin, v. 70, p. 1327-1368.
35. Gawthorpe, R.L., Fraser, A.J., and Collier, R.E.L.I., 1994, Sequence stratigraphy in active extensional basins: Implications for the interpretation of ancient basin fills: Marine and Petroleum Geology, v. 11, p. 642-658.
36. Gawthorpe, R.L., and Leeder, M.R., 2000, Tectono-sedimentary evolution of active extensional basins, in Guptta, S., and Cowie, P.A., eds., Processes and controls in the stratigraphic development of extensional basins: Basin Research, v. 12, p. 195-218. (Pubitemid 32286015)
37. Gierlowski-Kordesch, E., and Kelts, K., 1994, Global geological record of lake basins, volume 1: Cambridge, Cambridge University Press, 427 p.
38. Gierlowski-Kordesch, E., and Kelts, K., editors, 2000, Lake basins through space and time: American Association of Petroluem Geologists Studies in Geology 46, p. 3-37.
39. Gierlowski-Kordesch, E., and Rust, B.R., 1994, The Jurassic East Berlin Formation, Hartford Basin, Newark Supergroup (Connecticut and Massachusetts); a saline lake-playa-alluvial plain system, in Renaut, R.W., and Last,W.M., eds., Sedimentology and geochemistry of modern and ancient saline lakes: Society for Sedimentary Geology (SEPM) Special Publication, v. 50, p. 249-265.
40. Glieck, J., 1987, Chaos: Making a new science: New York,Viking Penguin, 352 p.
41. Goodings, D., and Middleton, G., 1991, Fractals and fractal dimension, in Middleton, G., Nonlinear dynamics, chaos and fractals: Geological Association of Canada Short Course Notes, v. 9, p. 13-22.
42. Guadalupi, G., and Shugaar, A., 2001, Latitude zero: Tales of the equator: New York, Carroll and Graf, 258 p.
43. Herdendorf, C.E., 1984, Inventory of the morphometric and limnologic characteristics of the large lakes of the world: The Ohio State University Sea Grant Program, Technical Bulletin OHSU-TB-17, 78 p.
44. Horsfield, B., Curry, D.J., Bohacs, K.M., Carroll, A.R., Littke, R., Mann, U., Radke, M., Schaefer, R.G., Isaksen, G.H., Schenk, H.J., Witte, E.G., and Rullkötter, J., 1995, Organic geochemistry of freshwater and alkaline lacustrine environments, Green River Formation,Wyoming: Organic Geochemistry, v. 22, p. 415-450.
45. Huang, J., and Turcotte, D.L., 1989, Fractal mapping of digitized images: Application to the topography of Arizona and comparisons with synthetic images: Journal of Geophysical Research, v. 94, p. 7491-7495.
46. Hutchinson, G.E., 1957, A treatise on limnology, vol. 1, Geography, physics and chemistry: New York, John Wiley & Sons, 1015 p.
47. Jeppesen, E., Sondergaard, M., and Kristensen, P., 1999, Lake and catchment management in Denmark: Hydrobiologia, v. 396, p. 419-432. (Pubitemid 29456051)
48. Johnson, T.C., Scholz, C.A., Talbot, M.R., Kelts, K., Ricketts, R.D., Ngobi, G., Beuning, K., Ssemmanda, I., and McGill, J.W., 1996, Late Pleistocene desiccation of Lake Victoria and rapid evolution of cichlid fishes: Science, v. 273, p. 1091-1093.
49. Katz, B.J., editor, 1990, Lacustrine basin exploration; case studies and modern analogs: American Association of Petroluem Geologists Memoir 50, 340 p.
50. Lambiase, J.J., 1990, A model for tectonic control of lacustrine stratigraphic sequences in continental rift basins, in Katz, B.J., Lacustrine basin exploration; case studies and modern analogues: American Association of Petroleum Geologists Memoir 50, p. 265-276.
51. Lavallée, D., Lovejoy, S., Schertzer, D., and Ladoy, P., 1993, Nonlinear variability of landscape topography: Multifractal analysis and simulation, in Lam, N.S., and De Cola, L., eds., Fractals in geography: Englewood Cliffs, N.J., Prentice Hall, p. 158-192. (Pubitemid 24400558)
52. Leeder, M.R., Harris, T., and Kirkby, M.J., 1998, Sediment supply and climate change: Implications for basin stratigraphy: Basin Research, v. 10, p. 7-18. (Pubitemid 28415845)
53. Leopold, L.B., Wolman, M.G., and Miller, J.P., 1964, Fluvial processes in geomorphology: San Francisco, Freeman, 365 p.
54. Lorenz, E.N., 1963, Deterministic nonperiodic flow: Journal of Atmospheric Sciences, v. 20, p. 130-141.
55. Mandelbrot, B.B., 1982, The fractal geometry of nature: San Francisco, Freeman, 468 p.
56. Middleton, G.V., 1991, Nonlinear dynamics, chaos, and fractals with applications to geological systems: Geological Association of Canada Short Course Notes, v. 9, 235 p.
57. Mohler, R.R.,Wilkinson, M.J., and Giardino, J.R., 1995, The extreme reduction of Lake Chad surface area: Input to paleoclimatic reconstructions [abs.]: Geological Society of America Abstracts with Programs, v. 27, no. 6, p. A-265.
58. Molz, F.J, and Boman, G.K., 1993, A fractal-based stochastic interpolation scheme in subsurface hydrology: Water Resources Research, v. 29, p. 3769-3774.
59. Olsen, P.E., and Kent, D.V., 1996, Milankovitch climate forcing in the tropics of Pangaea during the Late Triassic: Palaeogeography, Palaeoclimatology, Palaeoecology, v. 122, p. 1-26.
60. Olsen, P.E., Remington, C.L., Cornet, B., and Thomson, S., 1978, Cyclic change in Late Triassic lacustrine communities: Science, v. 201, p. 729-733.
61. Prokopenko, A.A., Karabanov, E.B., and Williams, D.F., 2002, Age of long sediment cores from Lake Baikal: Nature, v. 415, p. 976. (Pubitemid 34193434)
62. Quayle,W.C., Peck, L.S., Peat, H., Ellis-Evans, J.C., and Harrigan, P.R., 2002, Extreme responses to climate change in Antarctic lakes: Science, v. 295, p. 645. (Pubitemid 34111815)
63. Renaut, R.W., and Tiercelin, J.J., 1994, Lake Bogoria, Kenya Rift valley; a sedimentological overview, in Renaut, R.W., and Last,W.M., eds., Sedimentology and geochemistry of modern and ancient saline lakes: SEPM (Society for Sedimentary Geology) Special Publication 50, p. 101-123.
64. Rhodes, M.K., Carroll, A.R., Pietras, J.T., Beard, B.L, and Johnson, C.M., 2002, Strontium isotope record of paleohydrology and continental weathering, Eocene Green River Formation, Wyoming: Geology, v. 30, p. 167-170. (Pubitemid 35003314)
65. Rodríguez-Iturbe, I., and Rinaldo, A., 1997, Fractal river basins: Cambridge, Cambridge University Press, 547 p.
66. Roehler, H.W., 1993, Correlation, composition, areal distribution, and thickness of Eocene stratigraphic units, greater Green River basin, Wyoming, Utah, and Colorado: U.S. Geological Survey Professional Paper 1506E, 49 p.
67. Rosendahl, B.R., 1987, Architecture of continental rifts with special reference to East Africa: Annual Review of Earth and Planetary Sciences, v. 15, p. 445-503.
68. Rosendahl, B.R., Reynolds, D.J., Lorber, P.M., Burgess, C.F., McGill, J., Scott, D., Lambiase, J.J., and Derksen, S.J., 1986, Structural expressions of rifting; lessons from Lake Tanganyika, Africa, in Frostick, L.E., Renaut, R.W., and Tiercelin, J.J., eds, Sedimentation in the African rifts: London, Geological Society Special Publication, v. 25, p. 29-43.
69. Ruelle, D., 1980, Strange attractors: Mathematics Intelligencer, v. 2, p. 1267.
70. Ruelle, D., and Takens, F., 1971, On the nature of turbulence: Communications in Mathematical Physics, v. 23, p. 343.
71. Scheffer, M., Carpenter, S., Foley, J.A., Folke, C., and Walker, B., 2001, Catastrophic shifts in ecosystems: Nature, v. 413, p. 591-596. (Pubitemid 32964052)
72. Scheffer, M., Hosper, S.H., Meijer, M.L., and Moss, B., 1993, Alternative equilibria in shallow lakes: Trends in Ecological Evolution, v. 8, p. 275-279. (Pubitemid 24397434)
73. Scheffer, M., Rinaldi, S., Gragnani, A., Mur, L.R., and Van Nes, E.H., 1997, On the dominance of filamentous cyanobacteria in shallow, turbid lakes: Ecology, v. 78, p. 272-282.
74. Schiedeggar, A.E., 1991, Theoretical geomorphology, 3rd edition: Berlin, Springer Verlag, 434 p.
75. Schlische, R.W., and Olsen, P.E., 1990, Quantitative filling model for continental extensional basins with applications to Early Mesozoic rifts of eastern North America: Journal of Geology, v. 98, p. 135-155.
76. Schwans, P., Bohacs, K.M., Hohensee, V.K., Lin, F.C., Gao, R.Q., Qiu, J.Y., Sun, S.H., and Li, F.J., 1997, Nonmarine sequence stratigraphy; impact on source, reservoir, and seal distribution in a rift setting; Cretaceous Songliao Basin, China: American Association of Petroleum Geologists Bulletin, v. 81, p. 1411.
77. Shaw, H.R., 1991, Magmatic phenomenology as nonlinear dynamics: Anthology of some relevant experiments and portraits, in Middleton, G., Nonlinear dynamics, chaos and fractals: Geological Association of Canada Short Course Notes, v. 9, p. 97-150.
78. Sladen, C.P., 1994, Key elements during the search for hydrocarbons in lake systems, in Gierlowski-Kordesch, E., and Kelts, K., Global geological record of lake basins, vol. 1: Cambridge, Cambridge University Press, p. 3-17.
79. Smale, S., 1967, Differentiable dynamical systems: Bulletin of the American Mathematical Society, v. 13, p. 747.
80. Smith, M.A., 1990, Lacustrine oil shale in the geological record, in Katz, B.J., ed., Lacustrine basin exploration; case studies and modern analogs: American Association of Petroleum Geologists Memoir 50, p. 43-60.
81. Speke, J.H., 1863, Journal of the Discovery of the Source of the Nile: London, Tylston and Edwards, 255 p.
82. Stanley, H.E., and Meakin, P., 1988, Multifractal phenomena in physics and chemistry: Nature, v. 335, p. 405-409.
83. Strecker, U., Steidtmann, J.R., and Smithson, S.B., 1999, A conceptual tectonostratigraphic model for seismic facies migrations in a fluvio-lacustrine extensional basin: American Association of Petroleum Geologists Bulletin, v. 83, p. 43-61. (Pubitemid 29250703)
84. Street-Perrott, F.A., and Harrison, S.P., 1984, Temporal variations in lake levels since 30,000 yr B.P. - An index of the global hydrological cycle: American Geophysical Union Geophysical Monograph 29, p. 118-129.
85. Street-Perrott, F.A., and Harrison, S.P., 1985, Lake levels and climate reconstructions, in Hecht, A.D., ed., Paleoclimate analysis and modeling: New York, Wiley, p. 291-304.
86. Street-Perrott, F.A., and Roberts, N., 1983, Fluctuations in closed basin lakes as indicators of past atmospheric circulation patterns, in Street-Perrott, F.A., Beran, M., and Ratcliffe, R.A.S., eds.,Variations in the global water budget: Dordrecht, Reidel, p. 331-345.
87. Sullivan, R., 1980, A stratigraphic evaluation of the Eocene rocks of southwestern Wyoming: Geological Survey of Wyoming Report of Investigations 20, 50 p.
88. Talbot, M.R., and Kelts, K., editors, 1989, The Phanerozoic record of lacustrine basins and their environmental signals: Palaeogeography, Palaeoclimatology, Palaeoecology, v. 70, p. 121-137.
89. Turcotte, D.L., 1997, Fractals and chaos in geology and geophysics, second edition: Cambridge, Cambridge University Press, 370 p.
90. Wilf, P., 2000, Late Paleocene-early Eocene climate changes in southwestern Wyoming: Paleobotanical analysis: Geological Society of America Bulletin, v. 112, p. 292-307. (Pubitemid 32828201)
91. Wilson, L., 1973,Variations in mean annual sediment yield as a function of mean annual precipitation: American Journal of Science, v. 273, p. 335-349.
92. Withjack, M.O., Olsen, P.E., and Schlische, R.W., 1995, Tectonic evolution of the Fundy rift basin, Canada; Evidence of extension and shortening during passive margin development: Tectonics, v. 14, p. 390-405.
93. Wolfe, B.B., Aravena, R., Abbott, M.B., Seltzer, G.O., and Gibson, J.J., 2001, Reconstruction of paleohydrology and paleohumidity from oxygen isotope records in the Bolivian Andes: Palaeogeography, Palaeoclimatology, Palaeoecology, v. 176, p. 177-192. (Pubitemid 34171964)